From c66670a5dc037a913f4c48214e05fb73e4be4d15 Mon Sep 17 00:00:00 2001 From: Ben Christel Date: Wed, 16 Oct 2024 17:02:29 -0700 Subject: [PATCH 1/2] Add new question data --- data/questions/00/05/accb521013c8.json | 1 + data/questions/00/1e/1dd9ba8dd57b.json | 1 + data/questions/00/1f/4fb4014bc2d9.json | 1 + data/questions/00/25/589e6ba8aab2.json | 1 + data/questions/00/26/01e8a621e5c6.json | 1 + data/questions/00/26/b22b903a057c.json | 1 + data/questions/00/3c/b2975fa9e924.json | 1 + data/questions/00/49/da1f984b0087.json | 1 + data/questions/00/4b/f936af2955fb.json | 1 + data/questions/00/54/6dc68d808c57.json | 1 + data/questions/00/80/f03b830837b4.json | 1 + data/questions/00/87/2199179ce067.json | 1 + data/questions/00/8d/d6da694b3764.json | 1 + data/questions/00/97/cac45c9981db.json | 1 + data/questions/00/a6/ab8be48cd489.json | 1 + data/questions/00/c6/9e7c492009d1.json | 1 + data/questions/00/d6/916fe40b9a89.json | 1 + data/questions/00/e3/24dc86844df8.json | 1 + 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data/questions/ff/53/9447ad38578b.json create mode 100644 data/questions/ff/5a/7020e3c7ff74.json create mode 100644 data/questions/ff/64/604877779a9d.json create mode 100644 data/questions/ff/7e/00d174c4e7a8.json create mode 100644 data/questions/ff/81/febc61b914af.json create mode 100644 data/questions/ff/88/e02cca7a6077.json create mode 100644 data/questions/ff/8b/e22e5763e176.json create mode 100644 data/questions/ff/95/dfda8ae38f52.json create mode 100644 data/questions/ff/98/db4dc611fe9b.json create mode 100644 data/questions/ff/9e/e058ffbc9122.json create mode 100644 data/questions/ff/cf/3bdd2d589be9.json create mode 100644 data/questions/ff/d7/6a6c0a6222f9.json create mode 100644 data/questions/ff/d9/9639609db579.json create mode 100644 data/questions/ff/e3/fa970c4e5651.json create mode 100644 data/questions/ff/eb/74fa9f652424.json create mode 100644 data/questions/ff/f8/a65d6b6a72eb.json diff --git a/data/questions/00/05/accb521013c8.json b/data/questions/00/05/accb521013c8.json new file mode 100644 index 0000000000..7e25ce5836 --- /dev/null +++ b/data/questions/00/05/accb521013c8.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1a31dd15da9da65b58c639b47ac27fbb442be65f","width":425},"correct":{"coords":[[-5,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/1e/1dd9ba8dd57b.json b/data/questions/00/1e/1dd9ba8dd57b.json new file mode 100644 index 0000000000..a737e1d76b --- /dev/null +++ b/data/questions/00/1e/1dd9ba8dd57b.json @@ -0,0 +1 @@ +{"content":"[Q1] Graph the equation $y=x+1$.\n\n[[☃ interactive-graph 2]]\n\nHere is what it should look like:\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":null}},"version":{"major":0,"minor":0}},"interactive-graph 3":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":true,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"line","points":[{"type":"point","coord":[0,1],"color":"grayH","filled":true},{"type":"point","coord":[2,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":false,"showPoint2":false}],"graph":{"type":"none"},"correct":{"type":"none","hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/1f/4fb4014bc2d9.json b/data/questions/00/1f/4fb4014bc2d9.json new file mode 100644 index 0000000000..ec91a94fb6 --- /dev/null +++ b/data/questions/00/1f/4fb4014bc2d9.json @@ -0,0 +1 @@ +{"content":"crwdns3077946:0$100$crwdnd3077946:0{ m}crwdnd3077946:0{ m}crwdne3077946:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/f59ba639613da0dbd8819cfb53bb15198420627e.png","width":400},"correct":{"coords":[[-1,-5],[-1,7],[-7,7],[-7,-5]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/25/589e6ba8aab2.json b/data/questions/00/25/589e6ba8aab2.json new file mode 100644 index 0000000000..bb0e1c53c2 --- /dev/null +++ b/data/questions/00/25/589e6ba8aab2.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $4$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":0,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,11],[-1,11]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","coords":[[0,0],[1,4],[2,8]],"numPoints":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/26/01e8a621e5c6.json b/data/questions/00/26/01e8a621e5c6.json new file mode 100644 index 0000000000..1abdcbfabd --- /dev/null +++ b/data/questions/00/26/01e8a621e5c6.json @@ -0,0 +1 @@ +{"content":"crwdns3318334:0$hcrwdnd3318334:0$fcrwdne3318334:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":null,"coords":[[8,1],[7,3]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6fb60e5bad041fe69d3485d52b87030ddcc17ac8","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/26/b22b903a057c.json b/data/questions/00/26/b22b903a057c.json new file mode 100644 index 0000000000..adc486defe --- /dev/null +++ b/data/questions/00/26/b22b903a057c.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/99ba964d9ad2c743fd19a62ae756043536593be5","width":425},"correct":{"coords":[[7,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/3c/b2975fa9e924.json b/data/questions/00/3c/b2975fa9e924.json new file mode 100644 index 0000000000..9de4abcf65 --- /dev/null +++ b/data/questions/00/3c/b2975fa9e924.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of hours before or after noon. For example, $-1$ would represent $11 \\text{ a.m.}$ The $y$-axis represents the temperature in degrees Celsius. The points $(-1, 6)$ and $(7,6)$ represent two temperatures at different times of the day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many hours pass between the two temperatures shown?** \n\n[[☃ input-number 1]] hours\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-1,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x (\\text{hours})","y (^\\circ\\text{C})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/49/da1f984b0087.json b/data/questions/00/49/da1f984b0087.json new file mode 100644 index 0000000000..a84d134cf7 --- /dev/null +++ b/data/questions/00/49/da1f984b0087.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $3$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/292e6fee8cab4f5eba2566d9c8c56dbf4ac0896b","width":400},"correct":{"coords":[[-7,-5],[5,-2],[-4,4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/4b/f936af2955fb.json b/data/questions/00/4b/f936af2955fb.json new file mode 100644 index 0000000000..f70e3aec6b --- /dev/null +++ b/data/questions/00/4b/f936af2955fb.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6706a006f4f7987bbbc55a793202e422dd097fcc","width":400},"correct":{"coords":[[3,-1],[3,0],[-3,0],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/54/6dc68d808c57.json b/data/questions/00/54/6dc68d808c57.json new file mode 100644 index 0000000000..f3c43e4174 --- /dev/null +++ b/data/questions/00/54/6dc68d808c57.json @@ -0,0 +1 @@ +{"content":"crwdns3897491:0crwdne3897491:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/189b44a485844e57a098744db13741694173ac16","width":425},"correct":{"coords":[[-3,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/80/f03b830837b4.json b/data/questions/00/80/f03b830837b4.json new file mode 100644 index 0000000000..8767032385 --- /dev/null +++ b/data/questions/00/80/f03b830837b4.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ENT}$ is rotated $-360^\\circ$ about the point $(1,-5)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6f77ec93b66fcaf8c8a4075be81d88e85caead7c","width":425},"correct":{"coords":[[-4,-4],[-2,2],[3,1]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/87/2199179ce067.json b/data/questions/00/87/2199179ce067.json new file mode 100644 index 0000000000..ef584b20fb --- /dev/null +++ b/data/questions/00/87/2199179ce067.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $9$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,-1],[0,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/8d/d6da694b3764.json b/data/questions/00/8d/d6da694b3764.json new file mode 100644 index 0000000000..ce6b3a55cd --- /dev/null +++ b/data/questions/00/8d/d6da694b3764.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y= -2\\cdot \\left(\\dfrac13\\right)^{x+1}+7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,7],[10,7]],"coords":[[-2,1],[-1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/97/cac45c9981db.json b/data/questions/00/97/cac45c9981db.json new file mode 100644 index 0000000000..bd851ff08e --- /dev/null +++ b/data/questions/00/97/cac45c9981db.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(6,0)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/a6/ab8be48cd489.json b/data/questions/00/a6/ab8be48cd489.json new file mode 100644 index 0000000000..16e841cade --- /dev/null +++ b/data/questions/00/a6/ab8be48cd489.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw a right triangle with a right angle at $(-5,0)$, another vertex at $(-5,7)$, and a base that is on the $x$-axis and $3$ units longer than its height.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-5,7],[-5,0],[5,0]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/c6/9e7c492009d1.json b/data/questions/00/c6/9e7c492009d1.json new file mode 100644 index 0000000000..c53607113a --- /dev/null +++ b/data/questions/00/c6/9e7c492009d1.json @@ -0,0 +1 @@ +{"content":"see that \\small issue in the editor? Note: if you set the widget into points mode (bottom dropdown), the user is unable to select the number of points.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/d6/916fe40b9a89.json b/data/questions/00/d6/916fe40b9a89.json new file mode 100644 index 0000000000..064b7cd373 --- /dev/null +++ b/data/questions/00/d6/916fe40b9a89.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e0d5303a6887f5c393fdb13c47d2916e1bdd92e5","width":400},"correct":{"coords":[[2,8],[8,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/e3/24dc86844df8.json b/data/questions/00/e3/24dc86844df8.json new file mode 100644 index 0000000000..19817477c4 --- /dev/null +++ b/data/questions/00/e3/24dc86844df8.json @@ -0,0 +1 @@ +{"content":"Roudy talks to a friend on the phone while walking his dog each day.\n\nHe recorded the distance of his walk (in kilometers) and how long (in minutes) his phone call took for five days this week.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Distance (km)** | $2.5$ | $3.0$ | $1.5$ | $4.0$ | $3.5$\n**Time (min)** | $22$ | $25$ | $15$ | $30$ | $28$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["$\\text{Distance}$","$\\text{Time}$"],"range":[[-1,10],[-2,35]],"step":[1,2],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"point","numPoints":"unlimited"},"valid":true,"correct":{"type":"point","numPoints":"unlimited","coords":[[2.5,22],[3,25],[1.5,15],[4,30],[3.5,28]]},"gridStep":[0.5,1],"snapStep":[0.25,1],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/e6/aeeb3febac6e.json b/data/questions/00/e6/aeeb3febac6e.json new file mode 100644 index 0000000000..84ca721fc7 --- /dev/null +++ b/data/questions/00/e6/aeeb3febac6e.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0b851cdf5d2c7e79e0b30ae9fc4c573ca488502a","width":425},"correct":{"coords":[[3,6],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/ea/39a7608580a8.json b/data/questions/00/ea/39a7608580a8.json new file mode 100644 index 0000000000..75c15057e2 --- /dev/null +++ b/data/questions/00/ea/39a7608580a8.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 2|x+3|-5, ~~\\text{Domain}~~[-8,4]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-3"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-5"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-8,5],[-3,-5]],[[4,9],[-3,-5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/00/fc/ea0ef05f7e3a.json b/data/questions/00/fc/ea0ef05f7e3a.json new file mode 100644 index 0000000000..0bc7bd9e2c --- /dev/null +++ b/data/questions/00/fc/ea0ef05f7e3a.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\sin\\left(\\dfrac{1}{7}x\\right)-3$ in the interactive widget.**\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/00/ff/c998baae8541.json b/data/questions/00/ff/c998baae8541.json new file mode 100644 index 0000000000..b00dd68e2b --- /dev/null +++ b/data/questions/00/ff/c998baae8541.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a4486d1fd68c9daf5efe89f9dec3c91e677155cf","width":425},"correct":{"coords":[[0,-3],[-4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/01/27f6d92aa8f0.json b/data/questions/01/01/27f6d92aa8f0.json new file mode 100644 index 0000000000..40d55150ab --- /dev/null +++ b/data/questions/01/01/27f6d92aa8f0.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $READ$ is rotated $-90^\\circ$ about the point $(-3,-6)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e3725fb7f6c122c037b0e06b8d8b0d16e2ade6e5","width":425},"correct":{"coords":[[-1,-3],[7,-2],[7,-6],[5,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/01/51800afaf084.json b/data/questions/01/01/51800afaf084.json new file mode 100644 index 0000000000..d2cd2058ea --- /dev/null +++ b/data/questions/01/01/51800afaf084.json @@ -0,0 +1 @@ +{"content":"बिंदुओं के किसी भी युग्म को एक रेखा के द्वारा जोड़ा जा सकता है। \n\n**काले बिंदुओं के युग्मों को इस प्रकार जोड़िए कि इससे बनने वाली रेखा डैश वाली रेखा के लंबवत हो।**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b0ffac78e0024194b91fa2673ff93d86cdfcdeb7","width":400},"correct":{"coords":[[-8,8],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/07/1cf546987f9d.json b/data/questions/01/07/1cf546987f9d.json new file mode 100644 index 0000000000..74355cdf79 --- /dev/null +++ b/data/questions/01/07/1cf546987f9d.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(-7,-5)$ and $(-1,-2)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4afc8019a65038699d6a783b9b8b8edf95e62acf","width":425},"correct":{"coords":[[[-5,-7],[-2,-1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/08/0bcc9da6287d.json b/data/questions/01/08/0bcc9da6287d.json new file mode 100644 index 0000000000..642b12199f --- /dev/null +++ b/data/questions/01/08/0bcc9da6287d.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac{1}{2}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/11e37fd8ec6fcaea9db4e2bb2fd0b6d751fffe51","width":425},"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/0e/f4f6008dd839.json b/data/questions/01/0e/f4f6008dd839.json new file mode 100644 index 0000000000..b713361877 --- /dev/null +++ b/data/questions/01/0e/f4f6008dd839.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=2\\sin(\\pi x-3\\pi)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[3,-4],[3.5,-2]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/13/f1132bd0736a.json b/data/questions/01/13/f1132bd0736a.json new file mode 100644 index 0000000000..eaed020eec --- /dev/null +++ b/data/questions/01/13/f1132bd0736a.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-7\\sin\\left(\\dfrac{1}{4}x\\right)+1$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,1],[4,-6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/14/5ac2568565c4.json b/data/questions/01/14/5ac2568565c4.json new file mode 100644 index 0000000000..8487413dda --- /dev/null +++ b/data/questions/01/14/5ac2568565c4.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-2,7)$ and has a slope of $4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-2,7],[-3,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/25/1de6762a43a1.json b/data/questions/01/25/1de6762a43a1.json new file mode 100644 index 0000000000..0731a6436d --- /dev/null +++ b/data/questions/01/25/1de6762a43a1.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=4\\log_3(-x-3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-3,-10],[-3,10]],"coords":[[-4,0],[-6,4]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/41/ba127f1f986f.json b/data/questions/01/41/ba127f1f986f.json new file mode 100644 index 0000000000..8f34edae9a --- /dev/null +++ b/data/questions/01/41/ba127f1f986f.json @@ -0,0 +1 @@ +{"content":"The ice cream store wants to build a new shop halfway between the towns of Riverside and Fairview. Riverside is located at $(2,4)$ on the map below. Fairview is located at $(12,4)$. \n\n**Plot Riverside, Fairview, and the new ice cream shop on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the ice cream store build its new shop?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[7,4],[12,4],[2,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/4c/ae78698a77bc.json b/data/questions/01/4c/ae78698a77bc.json new file mode 100644 index 0000000000..fb278e001c --- /dev/null +++ b/data/questions/01/4c/ae78698a77bc.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-6(x -2)(x)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 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1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/9b909f5ba085dd5832cada37c515600960dda988.png":{"height":392,"width":371}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-0.7183505507981855,-0.7892156326593263],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/5a/67971c8d6be1.json b/data/questions/01/5a/67971c8d6be1.json new file mode 100644 index 0000000000..382b03cf71 --- /dev/null +++ b/data/questions/01/5a/67971c8d6be1.json @@ -0,0 +1 @@ +{"content":"\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":0,"url":"","width":0},"correct":{"coords":[[[-5,5],[5,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/5d/067348f4dfec.json b/data/questions/01/5d/067348f4dfec.json new file mode 100644 index 0000000000..587a96b84f --- /dev/null +++ b/data/questions/01/5d/067348f4dfec.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nAt Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | |\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[8,5],[16,8],[24,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"markings":"graph","range":[[-2,25],[-2,13]],"showProtractor":false,"showTooltips":false,"snapStep":[1,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 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+{"content":"crwdns2838445:0$5$crwdnd2838445:0$ycrwdnd2838445:0{x}crwdnd2838445:0$5$crwdnd2838445:0$5$crwdnd2838445:0$ycrwdnd2838445:0{x}crwdne2838445:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/257f61e32ebfa49d1f28a9843bac61b3d35e87d3.png","width":425},"correct":{"coords":[[0,1],[1,2],[2,4],[3,8],[4,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/88/b62add099754.json b/data/questions/01/88/b62add099754.json new file mode 100644 index 0000000000..e2b017b470 --- /dev/null +++ b/data/questions/01/88/b62add099754.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-(x+6)^2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,0],[-5,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","f(x)"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/8d/568529b10370.json b/data/questions/01/8d/568529b10370.json new file mode 100644 index 0000000000..3914c81e25 --- /dev/null +++ b/data/questions/01/8d/568529b10370.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $1$, $-1.6$, and $-\\dfrac35$.**\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/32362418a8aa2bbf5a7ca8927f5134ee375448cb":{"height":80,"width":460}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 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+{"content":"crwdns3389874:0$R$crwdnd3389874:0$Rcrwdnd3389874:0{array}crwdnd3389874:0{ccc}crwdnd3389874:0{array}crwdne3389874:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a20609db888f94e1d3ec2059aa73085654169ae8","width":425},"correct":{"coords":[[2,-2],[2,1],[-1,2],[-1,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/be/84f6d69bdfe4.json b/data/questions/01/be/84f6d69bdfe4.json new file mode 100644 index 0000000000..ec3f062d9d --- /dev/null +++ b/data/questions/01/be/84f6d69bdfe4.json @@ -0,0 +1 @@ +{"content":"crwdns3458205:0crwdne3458205:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/be/e62bba94f9a5.json b/data/questions/01/be/e62bba94f9a5.json new file mode 100644 index 0000000000..0143084295 --- /dev/null +++ b/data/questions/01/be/e62bba94f9a5.json @@ -0,0 +1 @@ +{"content":"crwdns3897510:0crwdne3897510:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bb706c2b59923fa581b10198d8356b4e19cb2563","width":425},"correct":{"coords":[[-6,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/c3/8c775997dda9.json b/data/questions/01/c3/8c775997dda9.json new file mode 100644 index 0000000000..b4ee550fe6 --- /dev/null +++ b/data/questions/01/c3/8c775997dda9.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\sin\\left(\\dfrac{1}{7}x\\right)-3$ in the interactive widget.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/c6/b3dfe53a04f3.json b/data/questions/01/c6/b3dfe53a04f3.json new file mode 100644 index 0000000000..8740ba37cb --- /dev/null +++ b/data/questions/01/c6/b3dfe53a04f3.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2b614d8edb8dd56b81b5e2e174f0d77dad9e18b5","width":425},"correct":{"coords":[[5,-6],[-3,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/d4/3fd624bf057b.json b/data/questions/01/d4/3fd624bf057b.json new file mode 100644 index 0000000000..6355cd75d7 --- /dev/null +++ b/data/questions/01/d4/3fd624bf057b.json @@ -0,0 +1 @@ +{"content":"crwdns3122080:0{A}crwdnd3122080:0{B}crwdnd3122080:0{B}crwdnd3122080:0{C}crwdne3122080:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":true},{"content":"crwdns2671924:0crwdne2671924:0","correct":false},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":false},{"content":"crwdns2671926:0crwdne2671926:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/4d3bf0050ff62ecf215d41990fdf3be6c2b71152.png","width":400},"correct":{"coords":[[[8,-8],[6,8]],[[-8,6],[6,8]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/e4/e10a97db5350.json b/data/questions/01/e4/e10a97db5350.json new file mode 100644 index 0000000000..3bb521eef4 --- /dev/null +++ b/data/questions/01/e4/e10a97db5350.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9d3928efc7b9e760443b5a7482c5c2a1f1c91851","width":425},"correct":{"coords":[[3,6],[3,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/e8/48a04359edf7.json b/data/questions/01/e8/48a04359edf7.json new file mode 100644 index 0000000000..f4c00e9b53 --- /dev/null +++ b/data/questions/01/e8/48a04359edf7.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{2}{3}(x +7)(x +1)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,-6],[-7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/ed/450cb43a836c.json b/data/questions/01/ed/450cb43a836c.json new file mode 100644 index 0000000000..5e88cf6b8a --- /dev/null +++ b/data/questions/01/ed/450cb43a836c.json @@ -0,0 +1 @@ +{"content":"Last year, Charles earned $50$ points in the Wellness Competition at work. This year, his goal is to at least double his point total from last year. Charles earns $5$ points for each mile he runs and $2$ points for each mile he bikes.\n\n**Write an *inequality* that represents the number of miles Charles needs to run $(R)$ and bike $(B)$ to achieve his point goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $R$ on the horizontal axis and $B$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Charles runs $12$ miles $(R)$, which of the following numbers of miles can he bike $(B)$ to meet or exceed the point goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"5R+2B>=100"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,50],[20,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["R","B"],"markings":"graph","range":[[-5,30],[-5,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,10]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$20$","correct":true},{"content":"$22$","correct":true},{"content":"$25$","correct":true},{"content":"$27$","correct":true},{"content":"$30$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/f5/4603c953add2.json b/data/questions/01/f5/4603c953add2.json new file mode 100644 index 0000000000..5c67e5b81f --- /dev/null +++ b/data/questions/01/f5/4603c953add2.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\sin\\left(\\dfrac{1}{7}x\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[0,-3],[7,-8]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/f9/103c720ab8c2.json b/data/questions/01/f9/103c720ab8c2.json new file mode 100644 index 0000000000..f1fea7de6b --- /dev/null +++ b/data/questions/01/f9/103c720ab8c2.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $5$ units left and $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6fbd044e38c77da0fc2fd8b1bbe54561010527","width":425},"box":[288,288],"correct":{"coords":[[-3,1],[-1,6],[-6,2]],"numSides":3,"snapTo":"grid","type":"polygon"},"editableSettings":["graph","snap","image","measure"],"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/01/fb/ee6783462cd1.json b/data/questions/01/fb/ee6783462cd1.json new file mode 100644 index 0000000000..5f7504e6a5 --- /dev/null +++ b/data/questions/01/fb/ee6783462cd1.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b2bc35a8f5bbc24767856d47249be0885bed826c","width":430,"height":430},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[6,-4]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/08/c659c399d855.json b/data/questions/02/08/c659c399d855.json new file mode 100644 index 0000000000..0eecce0be7 --- /dev/null +++ b/data/questions/02/08/c659c399d855.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nMariah bought a membership to the pool. Consider the relationship between the number of days Mariah swims and the total cost.\n\n\n\n**Fill in the table with the missing values. The total price should include the price of the subscription.\n** \n\n\nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the days Mariah swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/5b3eda7037bca879d535b20d27a5c7d263ffcc9f.png":{"width":434,"height":435}},"widgets":{"input-number 1":{"type":"input-number","graded":true,"options":{"value":"3","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"input-number 2":{"type":"input-number","graded":true,"options":{"value":"4","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[20,20],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ece1090760799daa30bdcacc7806dc4d1e4e151","scale":"1","bottom":"0","left":0,"width":439,"height":439},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,110],[-10,110]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[10,30],[20,40]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/1a/f87a04f5b89c.json b/data/questions/02/1a/f87a04f5b89c.json new file mode 100644 index 0000000000..b8d4feb196 --- /dev/null +++ b/data/questions/02/1a/f87a04f5b89c.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=5\\cos\\left(\\dfrac{\\pi}{2}x-\\dfrac{3\\pi}{2}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[4,-2],[3,3]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/1c/c3c54f099a31.json b/data/questions/02/1c/c3c54f099a31.json new file mode 100644 index 0000000000..574f2542f8 --- /dev/null +++ b/data/questions/02/1c/c3c54f099a31.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ELM}$ is rotated $-90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/971be79578e3693dd1d595ce2b7dcb6c2863862a","width":425},"correct":{"coords":[[7,-6],[-3,-7],[2,-3]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/27/52859a18b92a.json b/data/questions/02/27/52859a18b92a.json new file mode 100644 index 0000000000..2d2af195cc --- /dev/null +++ b/data/questions/02/27/52859a18b92a.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(7, 6)$ and $(0, 6)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[0,6],[7,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/30/5147cc78106c.json b/data/questions/02/30/5147cc78106c.json new file mode 100644 index 0000000000..50eab29d52 --- /dev/null +++ b/data/questions/02/30/5147cc78106c.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0bb4a183e2c1692a7dce35914fc63c3d9b74fb15","width":425},"correct":{"coords":[[2,-3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/3d/434ae48877f3.json b/data/questions/02/3d/434ae48877f3.json new file mode 100644 index 0000000000..8117c700ae --- /dev/null +++ b/data/questions/02/3d/434ae48877f3.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d5a8c57c9001d39f900e87d36034059e8879e","width":400},"correct":{"coords":[[4,-8],[8,-4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/41/a9020a23bd9d.json b/data/questions/02/41/a9020a23bd9d.json new file mode 100644 index 0000000000..4d8d173584 --- /dev/null +++ b/data/questions/02/41/a9020a23bd9d.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=4\\cos(0.25x-0.25\\pi)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[6,-3],[2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/42/88e7b0ec9132.json b/data/questions/02/42/88e7b0ec9132.json new file mode 100644 index 0000000000..a6a9856dde --- /dev/null +++ b/data/questions/02/42/88e7b0ec9132.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-4x^2-4x-5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-0.5,-4],[0,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-0.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-4},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/4a/52cf1b34c896.json b/data/questions/02/4a/52cf1b34c896.json new file mode 100644 index 0000000000..43b9248889 --- /dev/null +++ b/data/questions/02/4a/52cf1b34c896.json @@ -0,0 +1 @@ +{"content":"**Graph $y = 5(x-7)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[8,5],[7,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/4c/8972e6bf24c7.json b/data/questions/02/4c/8972e6bf24c7.json new file mode 100644 index 0000000000..fff0824a2c --- /dev/null +++ b/data/questions/02/4c/8972e6bf24c7.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/627679bd8f17701f0bb377ad49543dafc3ef4d14","width":425},"correct":{"coords":[[-2,2],[-2,4],[-5,3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/53/348c70653712.json b/data/questions/02/53/348c70653712.json new file mode 100644 index 0000000000..2d29714d89 --- /dev/null +++ b/data/questions/02/53/348c70653712.json @@ -0,0 +1 @@ +{"content":"crwdns6420141:0$pcrwdnd6420141:0$x$crwdne6420141:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-2,0],[1.5,0],[3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/58/ebb083babd29.json b/data/questions/02/58/ebb083babd29.json new file mode 100644 index 0000000000..89b92b02e8 --- /dev/null +++ b/data/questions/02/58/ebb083babd29.json @@ -0,0 +1 @@ +{"content":"Plot the points $(3, 4)$, $(-1, -2)$, and $(5, 1)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[3,4],[-1,-2],[5,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/6c/3b2b2d537826.json b/data/questions/02/6c/3b2b2d537826.json new file mode 100644 index 0000000000..5c92d4b284 --- /dev/null +++ b/data/questions/02/6c/3b2b2d537826.json @@ -0,0 +1 @@ +{"content":"The graph below contains rhombus $ABCD$ and the point $P$. \n \n**Draw the image of $ABCD$ under a dilation whose center is $P$ and scale factor is $3$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the sides of $ABCD$ and its image?** \n\nThe sides of $ABCD$ are [[☃ input-number 1]] units long, and the sides of its image are [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"15"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/0a8613b582ddea6012601f6f64bb70f85b0504b3.png","width":425},"correct":{"coords":[[12,0],[0,9],[-12,0],[0,-9]],"numSides":4,"showAngles":false,"type":"polygon"},"graph":{"numSides":4,"showAngles":false,"type":"polygon"},"gridStep":[2,1],"labels":["x","y"],"markings":"none","range":[[-14,14],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/75/7ff88a8ba9ac.json b/data/questions/02/75/7ff88a8ba9ac.json new file mode 100644 index 0000000000..232b20c222 --- /dev/null +++ b/data/questions/02/75/7ff88a8ba9ac.json @@ -0,0 +1 @@ +{"content":"Vector $\\vec v$ is graphed in the interactive graph below.\n\n**Assuming $\\dfrac12\\vec v$ starts at the origin, plot its endpoint.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c796d56ab355fa846144e3ab2999b9870e38418e","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[-2,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/7a/796888403686.json b/data/questions/02/7a/796888403686.json new file mode 100644 index 0000000000..b16952f8b0 --- /dev/null +++ b/data/questions/02/7a/796888403686.json @@ -0,0 +1 @@ +{"content":"crwdns3209072:0$R_crwdne3209072:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/0683396cb2497c9341e282ed1d2c1fab1e746648.png","width":425},"correct":{"coords":[[8,8],[4,7],[8,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/02/8d/2cccad934b82.json b/data/questions/02/8d/2cccad934b82.json new file mode 100644 index 0000000000..b944ff0a23 --- /dev/null +++ b/data/questions/02/8d/2cccad934b82.json @@ -0,0 +1 @@ +{"content":"**Graph $x=6$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-7,7],[-7,7]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[6,5],[6,-1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/8d/77a8fe84baf0.json b/data/questions/02/8d/77a8fe84baf0.json new file mode 100644 index 0000000000..91d2479b15 --- /dev/null +++ b/data/questions/02/8d/77a8fe84baf0.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $4$ units left.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3e11d08201cd2e936bb6fa4512c7bd6b4b68a6a9","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[-1,-1],[-5,1],[-2,5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/9f/5460118a9225.json b/data/questions/02/9f/5460118a9225.json new file mode 100644 index 0000000000..92a83cfaac --- /dev/null +++ b/data/questions/02/9f/5460118a9225.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c7da179f658f4817a2d42e65ed6eb023160ce3a","width":430},"correct":{"coords":[[9,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/b6/d691ec5cdafa.json b/data/questions/02/b6/d691ec5cdafa.json new file mode 100644 index 0000000000..84fa90eb73 --- /dev/null +++ b/data/questions/02/b6/d691ec5cdafa.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $MOST$ is rotated $-180^\\circ$ about the point $(4,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4f989290e7148fe9e3a2292cb06ce738d5b93d9c","width":425},"correct":{"coords":[[-1,3],[-1,8],[1,7],[1,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/e1/c170bfff59e0.json b/data/questions/02/e1/c170bfff59e0.json new file mode 100644 index 0000000000..4f0dc554c1 --- /dev/null +++ b/data/questions/02/e1/c170bfff59e0.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/df324ec726ac4b8d258272d49b99fc4f57e7d422","width":430},"correct":{"coords":[[6,7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/e5/fad90f03987f.json b/data/questions/02/e5/fad90f03987f.json new file mode 100644 index 0000000000..3893f6fcf8 --- /dev/null +++ b/data/questions/02/e5/fad90f03987f.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n\n=====\n\nThe lines $f$ and $g$ are graphed at left in the $xy$-plane. Line $g$ can be written as the equation $y = ax + b$, where $a$ and $b$ are constants. Which of the following equations represents line $f$?\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc":{"height":425,"width":425},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c1587151dba95c3c8ca0d79b4857ae7856a8a4fc":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"graded":true,"options":{"alt":"□□□□ □□□□□ □□□□□□□□ □□□ □□□□□, □ □□□ □, □□ □□□ '□□'-□□□□□. □ □□□□ □□□□□□□ □□□ □□□□□□ □□□□□□□□ □ □□□□□ □ □□□ □ □□□□□ □□□□□□□□ □. □ □□□□ □□□□□□□ □□□ □□□□□□ □□□□□□□□ □ □□□□□ □□□□□□□□ □ □□□ □ □□□□□ □. □□□ □□□ □□□□□ □□□□□ □□ □□□ □ □□□□ □□□□□□□ □ □□□ □.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"title":""},"type":"image","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"□□□□ □□□□□□□□ □□□□□□□□□□ □ □□□□ □□□□ □□□ □□□□ □□□□□ □□ □□□ □□□□□□□□.","content":"$y = ax - b$","correct":false},{"clue":"This equation represents a line with the same $y$-intercept as the original.","content":"$y = -ax + b$","correct":false},{"content":"$-y = ax + b$","correct":true},{"clue":"This equation represents a line that has slope $\\dfrac 1a$ . This has the same sign as $a$, but the two lines given have slopes that are opposite in sign.","content":"$x = ay + b$","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/02/e9/1c8aa390c093.json b/data/questions/02/e9/1c8aa390c093.json new file mode 100644 index 0000000000..81e8c215cb --- /dev/null +++ b/data/questions/02/e9/1c8aa390c093.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-4,4)$, and the upper-right coordinates are $(4,4)$. The rectangle has a perimeter of $20$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,2],[4,4],[-4,4],[-4,2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/f6/ff56ea216112.json b/data/questions/02/f6/ff56ea216112.json new file mode 100644 index 0000000000..19a7f306b6 --- /dev/null +++ b/data/questions/02/f6/ff56ea216112.json @@ -0,0 +1 @@ +{"content":"Equations $R_1$ and $R_2$ form a system. Our goal is to show that a second system ($R_1$ and $R_3$) form a system with the same solutions.\n\n$\\quad$$R_1$$~~~\\rightarrow~~~$$ x + y = 5$ \n$\\quad$$R_2$$~~~\\rightarrow~~~$$ x - y = 1$ \n$\\quad$$R_3$$~~~\\rightarrow~~~$$\\underline{\\begin{align}R_1\\\\+2\\cdot R_2\\end{align}}$ \n$~~~~~~~~~~~~~~~~~~~~$[[☃ expression 1]]\n\n**What is $R_3$? Write your equation in terms of $x$ and $y$.** \n\n\n**Graph $R_3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":""},"type":"expression","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/02/fc/e5020dcbca0f.json b/data/questions/02/fc/e5020dcbca0f.json new file mode 100644 index 0000000000..d42ca6ce03 --- /dev/null +++ b/data/questions/02/fc/e5020dcbca0f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac13$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37365d2280c6e7f7e98a3ed34ea9cbcab496022e","width":425},"correct":{"coords":[[1,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/08/688ca19953b9.json b/data/questions/03/08/688ca19953b9.json new file mode 100644 index 0000000000..c7f226c2e7 --- /dev/null +++ b/data/questions/03/08/688ca19953b9.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\cos(2x-3\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[3.5,2],[3,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3399a2166bf8f88b67cacda125ca07971602b0b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/1f/9e13487fe4c9.json b/data/questions/03/1f/9e13487fe4c9.json new file mode 100644 index 0000000000..e0eaf659ce --- /dev/null +++ b/data/questions/03/1f/9e13487fe4c9.json @@ -0,0 +1 @@ +{"content":"crwdns3077844:0$y$crwdnd3077844:0$x$crwdnd3077844:0$y$crwdnd3077844:0$x$crwdnd3077844:0{4}crwdnd3077844:0{5}crwdnd3077844:0$1$crwdnd3077844:0$x$crwdnd3077844:0{4}crwdnd3077844:0{5}crwdnd3077844:0$y$crwdne3077844:0","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=4/5x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,4],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/21/4ccdb69e53b9.json b/data/questions/03/21/4ccdb69e53b9.json new file mode 100644 index 0000000000..353f4eacae --- /dev/null +++ b/data/questions/03/21/4ccdb69e53b9.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{2}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c734d43736b8c0402d5da625d45fc3e31f061992","width":400},"correct":{"coords":[[-1,-3],[1,1],[-4,0]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/2d/2371e6d60fa2.json b/data/questions/03/2d/2371e6d60fa2.json new file mode 100644 index 0000000000..60248237a4 --- /dev/null +++ b/data/questions/03/2d/2371e6d60fa2.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 1-8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[1,-8]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/3d/e9dc48231aea.json b/data/questions/03/3d/e9dc48231aea.json new file mode 100644 index 0000000000..8be4c09bdd --- /dev/null +++ b/data/questions/03/3d/e9dc48231aea.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $1$ unit to the left and $5$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2fe5a657a2101205e42ca5282b127604ee33168a","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[6,5],[1,7],[-1,0]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/41/4a11d620a370.json b/data/questions/03/41/4a11d620a370.json new file mode 100644 index 0000000000..3d874b9417 --- /dev/null +++ b/data/questions/03/41/4a11d620a370.json @@ -0,0 +1 @@ +{"content":"Harmon works for the city of Tillamook as a concrete resurfacer. He has $18{,}000$ $\\text{kg}$ of concrete for resurfacing streets and parking lots. Each street he resurfaces uses $750$ $\\text{kg}$ of concrete, and each parking lot uses $450$ $\\text{kg}$ of concrete.\n\n**Write an *inequality* that represents the number of streets $(S)$ and parking lots $(P)$ Harmon can resurface with the amount of concrete available.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $P$ on the horizontal axis and $S$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Harmon resurfaces $12$ streets $(S)$, which of the following numbers of parking lots $(P)$ can he resurface without exceeding the amount of concrete available?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"750S+450P<=18000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,24],[40,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,3],"labels":["P","S"],"markings":"graph","range":[[-5,50],[-5,40]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,1.5],"step":[5,6]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$15$","correct":true},{"content":"$17$","correct":true},{"content":"$20$","correct":true},{"content":"$22$","correct":false},{"content":"$24$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/49/4fe78b78a471.json b/data/questions/03/49/4fe78b78a471.json new file mode 100644 index 0000000000..d138afa025 --- /dev/null +++ b/data/questions/03/49/4fe78b78a471.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7604af80632be3aabfe6e36fce1e7c9746efdfff","width":400},"correct":{"coords":[[[0.5,4.5],[3,2]],[[3,2],[2,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/4a/bf93e8ead021.json b/data/questions/03/4a/bf93e8ead021.json new file mode 100644 index 0000000000..da3aee1a78 --- /dev/null +++ b/data/questions/03/4a/bf93e8ead021.json @@ -0,0 +1 @@ +{"content":"The $5$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $5$ points, plot the $5$ corresponding points that must be on the graph of $y=\\log_b{x}$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d859f953d57753ceff901ea5bed2674a3b3d9ef6.png","width":425},"correct":{"coords":[[1,0],[2,1],[4,2],[8,3],[16,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/69/8a8ceb6581cf.json b/data/questions/03/69/8a8ceb6581cf.json new file mode 100644 index 0000000000..812a1d2e5c --- /dev/null +++ b/data/questions/03/69/8a8ceb6581cf.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-4\\cos\\left(x\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[1,3],[0,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/6b/7f68655e62aa.json b/data/questions/03/6b/7f68655e62aa.json new file mode 100644 index 0000000000..8bdc3b25bc --- /dev/null +++ b/data/questions/03/6b/7f68655e62aa.json @@ -0,0 +1 @@ +{"content":"**Which graph shows an exponential function with range $g(x)>0$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![An exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve has arrows at the edge of the graph on either end.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/8604d9f49d4a1e47b4a4ab720051ec41809880e6)","correct":true},{"content":"![A ray of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve has an arrow at the left edge and ends on the right side in an open, unfilled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/8dddcc7d0503f6ba6955f901929cac4dc8e5c156)","correct":false},{"content":"![A ray of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve has an arrow at the right edge and ends on the left side in an open, unfilled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/b40aeb2758d3325655b378fb3d13b074e4000944)","correct":false,"isNoneOfTheAbove":false},{"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in an open, unfilled circle at (negative 6, 8) and ends on the right side in an open, unfilled circle at (8, 0 point 2).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/a68c4ff077f2bae42f210d3abc3ba13c84a6e4d9)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/03/70/06e239150835.json b/data/questions/03/70/06e239150835.json new file mode 100644 index 0000000000..3f81aaa573 --- /dev/null +++ b/data/questions/03/70/06e239150835.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{3}{2}x+2$ \n \n\n\n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\nDrag the points on the graph to the specified coordinates.\n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/e80a5c39c2feea03393b4fe2d052fd4776d1f50e.png":{"height":431,"width":426}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,5],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/78/a20f2642cd34.json b/data/questions/03/78/a20f2642cd34.json new file mode 100644 index 0000000000..7ba0fe65da --- /dev/null +++ b/data/questions/03/78/a20f2642cd34.json @@ -0,0 +1 @@ +{"content":"The ice cream store wants to build a new shop halfway between the towns of Riverside and Fairview. Riverside is located at $(2,4)$ on the map below. Fairview is located at $(12,4)$. \n\n**Plot Riverside, Fairview, and the new ice cream shop on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the ice cream store build its new shop?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,14],[-1,14]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[7,4],[12,4],[2,4]]}},"version":{"major":0,"minor":0}},"input-number 1":{"type":"input-number","alignment":"default","static":false,"graded":true,"options":{"value":7,"simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number","rightAlign":false},"version":{"major":0,"minor":0}},"input-number 2":{"type":"input-number","alignment":"default","static":false,"graded":true,"options":{"value":4,"simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/7d/441ace00ab5e.json b/data/questions/03/7d/441ace00ab5e.json new file mode 100644 index 0000000000..078e32f189 --- /dev/null +++ b/data/questions/03/7d/441ace00ab5e.json @@ -0,0 +1 @@ +{"content":"crwdns6543879:0crwdne6543879:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3abcd04df721db46e71a686e41078a63e77b6c80","width":400},"correct":{"coords":[[-4,1],[6,-1.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/81/ee682bca180f.json b/data/questions/03/81/ee682bca180f.json new file mode 100644 index 0000000000..d9d5c1f723 --- /dev/null +++ b/data/questions/03/81/ee682bca180f.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec e$ and $\\vec f$:\n\n$\\begin{align}\n\\vec e&=(1,-3)\n\\\\\\\\\n\\vec f&=(6,-2)\n\\end{align}$\n\n*Answer two questions about the subtraction $\\vec e-\\vec f$.*\n\nPerforming the subtraction using the parallelogram rule, with $\\vec e$ and $-\\vec f$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the difference.**\n\n$\\vec e-\\vec f=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,-3],[0,0],[-6,2],[-5,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/cb/9b5a526ceab1.json b/data/questions/03/cb/9b5a526ceab1.json new file mode 100644 index 0000000000..180ce24aef --- /dev/null +++ b/data/questions/03/cb/9b5a526ceab1.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(2,0)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/cc/a7f5177cf8fb.json b/data/questions/03/cc/a7f5177cf8fb.json new file mode 100644 index 0000000000..33d70a6402 --- /dev/null +++ b/data/questions/03/cc/a7f5177cf8fb.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1abac7e75feced028b622d07152cae6e27471570","width":425},"correct":{"coords":[[0,-10],[0,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/cc/af2c0bf71a02.json b/data/questions/03/cc/af2c0bf71a02.json new file mode 100644 index 0000000000..f2b9ef4563 --- /dev/null +++ b/data/questions/03/cc/af2c0bf71a02.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2\\cdot 3^{-x}-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"exponential","asymptote":[[-10,-4],[10,-4]],"coords":[[0,-2],[-1,2]]},"availableTypes":["exponential"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/d3/d47eb71abe84.json b/data/questions/03/d3/d47eb71abe84.json new file mode 100644 index 0000000000..cdecf23397 --- /dev/null +++ b/data/questions/03/d3/d47eb71abe84.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bb706c2b59923fa581b10198d8356b4e19cb2563","width":425},"correct":{"coords":[[-6,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/d9/a3137332fa8a.json b/data/questions/03/d9/a3137332fa8a.json new file mode 100644 index 0000000000..a0eaa408af --- /dev/null +++ b/data/questions/03/d9/a3137332fa8a.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-4\\log_2(x-5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[5,-10],[5,10]],"coords":[[7,-4],[6,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/e3/ad6e9ff7494a.json b/data/questions/03/e3/ad6e9ff7494a.json new file mode 100644 index 0000000000..afaeaa69f5 --- /dev/null +++ b/data/questions/03/e3/ad6e9ff7494a.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $4$, Rule: add $2$\n\nPattern $y$: Starting number: $2$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$4$ | $2$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[6,3],[8,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/f3/7cf80e73e554.json b/data/questions/03/f3/7cf80e73e554.json new file mode 100644 index 0000000000..1e08b1f9eb --- /dev/null +++ b/data/questions/03/f3/7cf80e73e554.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$2$|$1$|$0$|$1$|$2$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/69961222ee8216018362b98d56c9fdf40073782d","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,-2]],[[-5,3],[5,1]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,-2]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/03/f3/80349ad07ff0.json b/data/questions/03/f3/80349ad07ff0.json new file mode 100644 index 0000000000..4eb5fa6d5d --- /dev/null +++ b/data/questions/03/f3/80349ad07ff0.json @@ -0,0 +1 @@ +{"content":"$\\triangle{NOW}$ is rotated $90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b448d794b2abfc5f18e1e8f037f0c246bc166f71","width":425},"correct":{"coords":[[3,-7],[-1,-2],[-4,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/03/f5/e9d6fbab3a3d.json b/data/questions/03/f5/e9d6fbab3a3d.json new file mode 100644 index 0000000000..7d1065c649 --- /dev/null +++ b/data/questions/03/f5/e9d6fbab3a3d.json @@ -0,0 +1 @@ +{"content":"आलेख पर रेखा खींचे जो संपत्ति के साथ $d$ और $t$ में आनुपातिक संबंध दर्शाती है इस कारण $t$ की $5$ इकाई में वृद्धि $d$ की $2$ इकाई में हुई वृद्धि के समान हैI\n \n**$t$ के संबंध में $d$ की परिवर्तन की इकाई दर क्या है? ** (यह है कि,$t$ में परिवर्तन $1$ की इकाई $d$ में परिवर्तन की कितनी इकाई के समान होगी?) \n\n परिवर्तन की इकाई दर [[☃ input-number 1]] है \n\n**आलेख पर रेखा बनाएं **\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.4},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/08/32e54bd5e92f.json b/data/questions/04/08/32e54bd5e92f.json new file mode 100644 index 0000000000..81452b8281 --- /dev/null +++ b/data/questions/04/08/32e54bd5e92f.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ec811f8a8b4fc25afea1ad8f64d4211ded4d8ba","width":425},"correct":{"coords":[[7,-1],[-5,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/0e/a355f484e172.json b/data/questions/04/0e/a355f484e172.json new file mode 100644 index 0000000000..eca83878fe --- /dev/null +++ b/data/questions/04/0e/a355f484e172.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $f(x)=\\dfrac{4}{7}(x+8)(x+1)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the function.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4.5,-7],[-1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-7}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/21/fd970a0452d2.json b/data/questions/04/21/fd970a0452d2.json new file mode 100644 index 0000000000..fb644290fd --- /dev/null +++ b/data/questions/04/21/fd970a0452d2.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +6x -10y +18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,5],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/27/901588d9f266.json b/data/questions/04/27/901588d9f266.json new file mode 100644 index 0000000000..4d27552b6b --- /dev/null +++ b/data/questions/04/27/901588d9f266.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(0,-5)$.** \n$$ \n\n\n\n[[☃ image 1]]\n\n**What is located $3$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled A is 3 units to the left of and 3 units down from the origin. A solid point, labeled B, is 3 units to the right of and 5 units down from the origin. A solid point labeled C is 3 units to the right of and 1 unit up from the origin.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/473b029fdd1c64c9461b66876f702f6bf54d3612","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":true},{"content":"Point $C$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/30/74bab747de19.json b/data/questions/04/30/74bab747de19.json new file mode 100644 index 0000000000..c7ed17f1aa --- /dev/null +++ b/data/questions/04/30/74bab747de19.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac{1}{5}x^2-2x-1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-6],[0,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/33/43cc8163f8ed.json b/data/questions/04/33/43cc8163f8ed.json new file mode 100644 index 0000000000..a5165da834 --- /dev/null +++ b/data/questions/04/33/43cc8163f8ed.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+4x+8y+16=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-2,-4],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/3a/59eddb5826a8.json b/data/questions/04/3a/59eddb5826a8.json new file mode 100644 index 0000000000..c255ca0b06 --- /dev/null +++ b/data/questions/04/3a/59eddb5826a8.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $0.4.$ In other words, a change of $1$ unit in $x$ corresponds to a change of $0.4$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=0.4x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,2],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/42/8e2e675a351c.json b/data/questions/04/42/8e2e675a351c.json new file mode 100644 index 0000000000..f9f3f4827f --- /dev/null +++ b/data/questions/04/42/8e2e675a351c.json @@ -0,0 +1 @@ +{"content":"###Custom Example: Test angle snapping with angles showing###\n\nMake the triangle with a right angle at the bottom, left.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5.091516853826429,-1.9999999999999982],[-3.4641016151377544,6.555618468964186],[-3.4641016151377553,-1.9999999999999982]],"hasBeenInteractedWith":true,"match":"approx","numSides":3,"range":[[-10,10],[-10,10]],"showAngles":true,"showSides":false,"snapStep":[0.5,0.5],"snapTo":"angles","type":"polygon"},"graph":{"numSides":3,"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/4f/c3d8b1b3e622.json b/data/questions/04/4f/c3d8b1b3e622.json new file mode 100644 index 0000000000..1a2e9a2c14 --- /dev/null +++ b/data/questions/04/4f/c3d8b1b3e622.json @@ -0,0 +1 @@ +{"content":"Draw a circle with radius $15$, centered at $(5, 0)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[5,0],"radius":15}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/63/e68451d3a547.json b/data/questions/04/63/e68451d3a547.json new file mode 100644 index 0000000000..9fd9b95d6e --- /dev/null +++ b/data/questions/04/63/e68451d3a547.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,1)$ and $(5,1)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,1],[5,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/72/b431452073f2.json b/data/questions/04/72/b431452073f2.json new file mode 100644 index 0000000000..52e67b9156 --- /dev/null +++ b/data/questions/04/72/b431452073f2.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $7$ units from Point $\\blueD{D}$ and also share the same $x$-coordinate as Point $\\blueD{D}$.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/40ba06b85132f51ca306328309034d3ad9f1365a","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[-4,-6],[-4,8]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/7b/edd3c2749d8e.json b/data/questions/04/7b/edd3c2749d8e.json new file mode 100644 index 0000000000..a4a5f3e1de --- /dev/null +++ b/data/questions/04/7b/edd3c2749d8e.json @@ -0,0 +1 @@ +{"content":"Vectors $\\vec{a}$ and $\\vec{b}$ are drawn in the interactive graph below. \n \n**Click to graph the terminal point of the vector obtained by subtracting $\\vec{b}$ from $\\vec{a}$, whose initial point is the origin.** \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3b5939bb75e8d7b413c912194834c01de591922c","width":400},"correct":{"coords":[[-6,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/80/9d9d01efaf68.json b/data/questions/04/80/9d9d01efaf68.json new file mode 100644 index 0000000000..46497460bb --- /dev/null +++ b/data/questions/04/80/9d9d01efaf68.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd76a18ef43056feffb77bd55d6424ec66bed01f","width":425},"correct":{"coords":[[0,1],[6,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/8f/fb62a24714de.json b/data/questions/04/8f/fb62a24714de.json new file mode 100644 index 0000000000..6302852c3c --- /dev/null +++ b/data/questions/04/8f/fb62a24714de.json @@ -0,0 +1 @@ +{"content":"crwdns3415422:0$5$crwdne3415422:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.5,1],[-0.5,1],[2,5]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[0.5,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/94/a9ae12d4c66c.json b/data/questions/04/94/a9ae12d4c66c.json new file mode 100644 index 0000000000..4821483154 --- /dev/null +++ b/data/questions/04/94/a9ae12d4c66c.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(0,-5)$.** \n$$ \n\n\n\n[[☃ image 1]]\n\n**What is located $3$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/473b029fdd1c64c9461b66876f702f6bf54d3612":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":true},{"content":"Point $C$","correct":false}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}},"interaction 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1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[425,425],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/473b029fdd1c64c9461b66876f702f6bf54d3612","width":425,"height":425},"labels":[],"alt":"A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled A is 3 units to the left of and 3 units down from the origin. A solid point, labeled B, is 3 units to the right of and 5 units down from the origin. A solid point labeled C is 3 units to the right of and 1 unit up from the origin.","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false}}} diff --git a/data/questions/04/9e/d0014947a6fe.json b/data/questions/04/9e/d0014947a6fe.json new file mode 100644 index 0000000000..9b7ac9dc95 --- /dev/null +++ b/data/questions/04/9e/d0014947a6fe.json @@ -0,0 +1 @@ +{"content":"**Construct a $50^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/23df4f87482e2f5db242cc1ac76660e7b75d0e10.png":{"height":262,"width":376},"https://ka-perseus-images.s3.amazonaws.com/923974534426742fb561e87626d244f8d102a46d.png":{"height":253,"width":222}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5.103683495345542,-2.9176668589581762],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/a2/3958a22465d1.json b/data/questions/04/a2/3958a22465d1.json new file mode 100644 index 0000000000..e456c01ffe --- /dev/null +++ b/data/questions/04/a2/3958a22465d1.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=0$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5d7ee7fa3e5049cb0c0c6ca81b47f7c22e18e02c","width":400},"correct":{"coords":[[2,0],[5,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/a5/d78df06c62fd.json b/data/questions/04/a5/d78df06c62fd.json new file mode 100644 index 0000000000..222f626fe1 --- /dev/null +++ b/data/questions/04/a5/d78df06c62fd.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,1)$ and $(5,1)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[2,1],[5,1]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":3,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/a8/800756252995.json b/data/questions/04/a8/800756252995.json new file mode 100644 index 0000000000..e9a6d4445a --- /dev/null +++ b/data/questions/04/a8/800756252995.json @@ -0,0 +1 @@ +{"content":"Tyler collected data on his $5$ pets. The points show the age and mass of $4$ of his pets. His fifth pet, Buddy, has a mass of $12 \\text { kg}$ and is $8$ years old.\n\n**Plot Buddy's mass and age on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which of Tyler's pets is the oldest?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d7b6afd9deefb286578725fdbb18a39ae3a17ac","width":400},"correct":{"coords":[[12,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Flopsy","correct":false},{"content":"Mittens","correct":false},{"content":"Chance","correct":true},{"content":"Buddy","correct":false},{"content":"Spot"}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/04/af/7ca9c2e563b6.json b/data/questions/04/af/7ca9c2e563b6.json new file mode 100644 index 0000000000..07f84df130 --- /dev/null +++ b/data/questions/04/af/7ca9c2e563b6.json @@ -0,0 +1 @@ +{"content":"crwdns6544098:0crwdne6544098:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/69cf49b23ee6020b29698bb148db75ade1e519ef","width":400},"correct":{"coords":[[-4,1],[6,-1.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/b8/551334622c21.json b/data/questions/04/b8/551334622c21.json new file mode 100644 index 0000000000..7c944d0988 --- /dev/null +++ b/data/questions/04/b8/551334622c21.json @@ -0,0 +1 @@ +{"content":"crwdns2963175:0crwdne2963175:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,14],[8,6],[-10,-12]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/cb/0bf5c3d4a573.json b/data/questions/04/cb/0bf5c3d4a573.json new file mode 100644 index 0000000000..58c00fb78c --- /dev/null +++ b/data/questions/04/cb/0bf5c3d4a573.json @@ -0,0 +1 @@ +{"content":"Marta's town map shows that she lives at the point $(3,4)$ on the coordinate grid below. Her favorite place to listen to music is located at the point $(7,10)$. To get there from her home, she will walk north (up) then east (right). \n\n**Plot Marta's home and her favorite music place on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Marta walk to get to her favorite music place?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4],[7,10]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/ce/5324ed79c163.json b/data/questions/04/ce/5324ed79c163.json new file mode 100644 index 0000000000..9c60a7bc84 --- /dev/null +++ b/data/questions/04/ce/5324ed79c163.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $WARM$ is reflected over the line $y=-\\dfrac{3}{2}x$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 9]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/64a1fc4318ce6d32779ca555616f1f8be00bfae0","width":425},"correct":{"coords":[[7,-4],[3,7],[7,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea484ceafccc9b239ef9dda71abf7ece1d4ffb92","width":425},"correct":{"coords":[[-2,-7],[5,-5],[3,2],[3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 7":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c4c060003d1e805c2ed442eaf9c7dbe3da8f78e","width":425},"correct":{"coords":[[-9,-3],[-5,-4],[9,1],[-4,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 8":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91bff50cb2ef573e2196866cf2ddc9c5675e4a0f","width":425},"correct":{"coords":[[-1,4],[4,9],[-5,7],[-8,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 9":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5bdc39cb5bd00ae5acdfa05f1f6b5feaa8414dff","width":425},"correct":{"coords":[[-7,4],[-3,-2],[8,1],[6,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/d9/792d6b3e4288.json b/data/questions/04/d9/792d6b3e4288.json new file mode 100644 index 0000000000..6d51c8fe72 --- /dev/null +++ b/data/questions/04/d9/792d6b3e4288.json @@ -0,0 +1 @@ +{"content":"crwdns3458204:0crwdne3458204:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/f4/c2e3ddb36aac.json b/data/questions/04/f4/c2e3ddb36aac.json new file mode 100644 index 0000000000..6fc176a43f --- /dev/null +++ b/data/questions/04/f4/c2e3ddb36aac.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=-|x -6|+3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[6,3],[7,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/04/f7/65f977ba20f0.json b/data/questions/04/f7/65f977ba20f0.json new file mode 100644 index 0000000000..c3108d8941 --- /dev/null +++ b/data/questions/04/f7/65f977ba20f0.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a35c2a13ef3eec1ba77ab7d0f8af7f021e2e223","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon"},"correct":{"type":"polygon","coords":[[6,2],[3,6],[3,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/02/0fe8da6a44d7.json b/data/questions/05/02/0fe8da6a44d7.json new file mode 100644 index 0000000000..c5945fdc1e --- /dev/null +++ b/data/questions/05/02/0fe8da6a44d7.json @@ -0,0 +1 @@ +{"content":"$h(x)=0.5(x+4)^2+1$\n\n**1) What is the vertex of the function?**\n\n$($ [[☃ numeric-input 1]] $,$ [[☃ numeric-input 2]] $)$\n\n**2) What is the function's $y$-intercept?**\n\n$($ [[☃ numeric-input 3]] $,$ [[☃ 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diff --git a/data/questions/05/0d/6f199f96bc85.json b/data/questions/05/0d/6f199f96bc85.json new file mode 100644 index 0000000000..b56d68c136 --- /dev/null +++ b/data/questions/05/0d/6f199f96bc85.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-3$|$-2$|$-2$|$-2$|$-6$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 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The table below shows his scores relative to par for each of the first three holes. \n\nHole | Score relative to par\n:-:|:-: \nOne | $-2$\nTwo | $-3$\nThree | $+1$\n\n\n**What is Frank's total score relative to par for the first three holes?**\n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":[],"items":[],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"dropdown 1":{"graded":true,"options":{"choices":[{"content":"","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"group 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diff --git a/data/questions/05/4d/458ddcb8c7e2.json b/data/questions/05/4d/458ddcb8c7e2.json new file mode 100644 index 0000000000..c84a3c5a25 --- /dev/null +++ b/data/questions/05/4d/458ddcb8c7e2.json @@ -0,0 +1 @@ +{"content":"crwdns3457590:0$(x-1)crwdne3457590:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/4d/75cc22d2d654.json b/data/questions/05/4d/75cc22d2d654.json new file mode 100644 index 0000000000..21f9f8a7ca --- /dev/null +++ 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b/data/questions/05/76/62af1921c5b2.json new file mode 100644 index 0000000000..fc6f022a63 --- /dev/null +++ b/data/questions/05/76/62af1921c5b2.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{5}{3}x-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-9],[3,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/88/1e7724896792.json b/data/questions/05/88/1e7724896792.json new file mode 100644 index 0000000000..e82929b08d --- /dev/null +++ b/data/questions/05/88/1e7724896792.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +6x -10y +18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-3,5],"radius":4}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/a4/465f9761a437.json b/data/questions/05/a4/465f9761a437.json new file mode 100644 index 0000000000..882f259501 --- /dev/null +++ b/data/questions/05/a4/465f9761a437.json @@ -0,0 +1 @@ +{"content":"crwdns6420415:0$ycrwdnd6420415:0{-x}crwdne6420415:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-4],[10,-4]],"coords":[[0,-2],[-1,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/af/4d19f01fefe5.json b/data/questions/05/af/4d19f01fefe5.json new file mode 100644 index 0000000000..f1acf358fe --- /dev/null +++ b/data/questions/05/af/4d19f01fefe5.json @@ -0,0 +1 @@ +{"content":"आलेख पर रेखा खींचे जो संपत्ति के साथ $d$ और $t$ में आनुपातिक संबंध दर्शाती है इस कारण $t$ की $3$ इकाई में वृद्धि $d$ की $$ इकाई में हुई वृद्धि के समान है\n \n** $t$ के संबंध में $d$ की परिवर्तन की इकाई दर क्या है? ** (यह है कि, $t$ में परिवर्तन की $1$ इकाई $d$ में परिवर्तन की कितनी इकाई के समान होगी?) \n\n परिवर्तन की इकाई दर [[☃ input-number 1]] हैI \n\n**संबंधों का आलेख बनाएं I**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1.3333333333333333},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"1","height":0,"left":"0","scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[3,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/bd/0667f88d8e38.json b/data/questions/05/bd/0667f88d8e38.json new file mode 100644 index 0000000000..118e9e8de8 --- /dev/null +++ b/data/questions/05/bd/0667f88d8e38.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the final point after reflecting point $A$ across the $x$-axis and then across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/334b4f7715f9228f3c099cbd63fbe51648455e4e","width":400},"correct":{"coords":[[9,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/d4/04c14b2e39c6.json b/data/questions/05/d4/04c14b2e39c6.json new file mode 100644 index 0000000000..ff7751cb2f --- /dev/null +++ b/data/questions/05/d4/04c14b2e39c6.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=2(x+3)^2-9$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-3,-9],[0,9]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-9},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/dc/6c160bb218be.json b/data/questions/05/dc/6c160bb218be.json new file mode 100644 index 0000000000..97203f6849 --- /dev/null +++ b/data/questions/05/dc/6c160bb218be.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot 2^{x-4}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[4,-3],[5,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/e7/ef9a5d92a76c.json b/data/questions/05/e7/ef9a5d92a76c.json new file mode 100644 index 0000000000..331e2a0246 --- /dev/null +++ b/data/questions/05/e7/ef9a5d92a76c.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle ASH$ after the rotation $R_{90^\\circ}$ about the point $(-3,2)$.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/b89e8eb7fadecaf50ef9abcc075a3fb5da3b28f5.png","width":425},"correct":{"coords":[[-9,-2],[-4,0],[-8,1]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/05/ed/463a047c3f85.json b/data/questions/05/ed/463a047c3f85.json new file mode 100644 index 0000000000..08f9dcf8a2 --- /dev/null +++ b/data/questions/05/ed/463a047c3f85.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=6|x |-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[0,-4],[1,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/05/f7/b7d8401f8b9f.json b/data/questions/05/f7/b7d8401f8b9f.json new file mode 100644 index 0000000000..435c09785b --- /dev/null +++ b/data/questions/05/f7/b7d8401f8b9f.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/65fccf9af40cdce311f69092bef8156d14383ce5","width":425},"correct":{"coords":[[-5,0],[1,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/0c/8437add0c910.json b/data/questions/06/0c/8437add0c910.json new file mode 100644 index 0000000000..f55857c106 --- /dev/null +++ b/data/questions/06/0c/8437add0c910.json @@ -0,0 +1 @@ +{"content":"Is the following statement true or false?\n\nThe point $(-6,8)$ is a solution of the inequality represented by the graph below.\n\n[[☃ radio 1]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/e1dc9aa1bb93f0e86b19a8445868983517ba23ea)\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e1dc9aa1bb93f0e86b19a8445868983517ba23ea":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"randomize":false,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":null}},"version":{"major":0,"minor":0}},"grapher 1":{"type":"grapher","graded":true,"options":{"correct":{"type":"linear","coords":null,"asymptote":null},"availableTypes":["linear"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"box":[340,340]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/0f/69f40b95fcbf.json b/data/questions/06/0f/69f40b95fcbf.json new file mode 100644 index 0000000000..1072a31539 --- /dev/null +++ b/data/questions/06/0f/69f40b95fcbf.json @@ -0,0 +1 @@ +{"content":"**Construct a $30^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/214a2834ece7a2052c15cb82c8da60286ebf80cf.png":{"height":38,"width":210},"https://ka-perseus-images.s3.amazonaws.com/895c494cc4520ecbdca32e680df0f97ee54f4320.png":{"height":202,"width":381}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-7.604667861756446,1.2358564987035274],[-2,-2],[-8.819865009834583,-1.9999999999999991]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/16/9aa11371bfb9.json b/data/questions/06/16/9aa11371bfb9.json new file mode 100644 index 0000000000..e66f09109a --- /dev/null +++ b/data/questions/06/16/9aa11371bfb9.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $6$ units to the left and $2$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f55be1aa636b352b558436d64406253e936a6c24","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-4,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/24/24b099b07ead.json b/data/questions/06/24/24b099b07ead.json new file mode 100644 index 0000000000..2194613a78 --- /dev/null +++ b/data/questions/06/24/24b099b07ead.json @@ -0,0 +1 @@ +{"content":"A professional soccer player can score a goal using his right or left foot. The table below shows how many goals the top scoring players in Europe scored with each foot in the $2014\\,\\text{-}\\,2015$ season (according to www.whoscored.com).\n \n**Plot the data in a scatter plot.** \n \nGoals from...| Ronaldo | Messi | Lacazette | Agüero | Griezmann |\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Right foot** | $29$ | $12$ | $24$ | $18$ | $1$ \n**Left foot** | $6$ | $26$ | $1$ | $7$ | $16$\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Right}$","$\\text{Left}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,32],[-2,32]],"gridStep":[2,2],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[29,6],[12,26],[24,1],[18,7],[1,16]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/41/7c69e1540a00.json b/data/questions/06/41/7c69e1540a00.json new file mode 100644 index 0000000000..9feca35685 --- /dev/null +++ b/data/questions/06/41/7c69e1540a00.json @@ -0,0 +1 @@ +{"content":"crwdns3225387:0:-:crwdnd3225387:0:-:crwdnd3225387:0:-:crwdnd3225387:0:-:crwdnd3225387:0$1$crwdnd3225387:0$5$crwdnd3225387:0$12$crwdnd3225387:0$4$crwdnd3225387:0$10$crwdnd3225387:0$15$crwdne3225387:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,4],[5,10],[12,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns3218676:0{Hours}crwdne3218676:0","crwdns3213766:0{Cost}crwdne3213766:0"],"markings":"graph","range":[[-2,22],[-2,22]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2693864:0crwdne2693864:0","correct":false},{"content":"crwdns2693863:0crwdne2693863:0","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/06/5d/edc389f7f453.json b/data/questions/06/5d/edc389f7f453.json new file mode 100644 index 0000000000..cb74aaa169 --- /dev/null +++ b/data/questions/06/5d/edc389f7f453.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/493bfd6353b9dd96b9c6260ef08a1cae7dcfe6ab","width":400},"correct":{"coords":[[-8,-7],[7,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/5e/c375d9816d52.json b/data/questions/06/5e/c375d9816d52.json new file mode 100644 index 0000000000..222d955f17 --- /dev/null +++ b/data/questions/06/5e/c375d9816d52.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ का प्रतिबिंब रेखा $\\ell$ पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a88525033e3e18872d8449e501b30ec4199d9ab","width":400},"correct":{"coords":[[6,-5],[7,-1],[4,-1],[5,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/68/214028b5ed4a.json b/data/questions/06/68/214028b5ed4a.json new file mode 100644 index 0000000000..28049aefd8 --- /dev/null +++ b/data/questions/06/68/214028b5ed4a.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3d310d241a79e109eb038ad5357263b78aa5f21f","width":425},"correct":{"coords":[[1,-1],[-3,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/74/d4617adc07f9.json b/data/questions/06/74/d4617adc07f9.json new file mode 100644 index 0000000000..fc205d5bfd --- /dev/null +++ b/data/questions/06/74/d4617adc07f9.json @@ -0,0 +1 @@ +{"content":"**Construct a $25^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/004d5d51e040e2c4a11f270c84c52565546ed40a.png":{"height":125,"width":211},"https://ka-perseus-images.s3.amazonaws.com/1e10c080541ebc2aec4b2e8dc055d66b3468d783.png":{"height":179,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[4.288969718228789,6.125283554065734]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/83/68e95e12c61f.json b/data/questions/06/83/68e95e12c61f.json new file mode 100644 index 0000000000..6eb61f2d80 --- /dev/null +++ b/data/questions/06/83/68e95e12c61f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac{1}{5}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a4acd095a715ec676b04c3c289a1a4199db75dbc","width":425},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/84/b7cc06469c59.json b/data/questions/06/84/b7cc06469c59.json new file mode 100644 index 0000000000..20492ab24c --- /dev/null +++ b/data/questions/06/84/b7cc06469c59.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle OAK$ after the rotation $R_{90^\\circ}$ about the point $(2,3)$.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/0683396cb2497c9341e282ed1d2c1fab1e746648.png","width":425},"correct":{"coords":[[8,8],[4,7],[8,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/06/86/3e35478b9792.json b/data/questions/06/86/3e35478b9792.json new file mode 100644 index 0000000000..c89d1c4ea7 --- /dev/null +++ b/data/questions/06/86/3e35478b9792.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{3}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/080a86bfaa4d108e99153a8dfc0606a9943a91bf","width":400},"correct":{"coords":[[2,-5],[5,-1],[1,-2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/92/eb85c0053541.json b/data/questions/06/92/eb85c0053541.json new file mode 100644 index 0000000000..7cf246fe33 --- /dev/null +++ b/data/questions/06/92/eb85c0053541.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $FORT$ is reflected over the line $y=\\dfrac{1}{2}x+2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 8]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/64a1fc4318ce6d32779ca555616f1f8be00bfae0","width":425},"correct":{"coords":[[7,-4],[3,7],[7,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea484ceafccc9b239ef9dda71abf7ece1d4ffb92","width":425},"correct":{"coords":[[-2,-7],[5,-5],[3,2],[3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 7":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c4c060003d1e805c2ed442eaf9c7dbe3da8f78e","width":425},"correct":{"coords":[[-9,-3],[-5,-4],[9,1],[-4,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 8":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91bff50cb2ef573e2196866cf2ddc9c5675e4a0f","width":425},"correct":{"coords":[[-1,4],[4,9],[-5,7],[-8,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/95/7dd77efd0089.json b/data/questions/06/95/7dd77efd0089.json new file mode 100644 index 0000000000..91ebc2be8f --- /dev/null +++ b/data/questions/06/95/7dd77efd0089.json @@ -0,0 +1 @@ +{"content":"crwdns3462803:0$ycrwdne3462803:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,1],[0,5]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/9a/9ea083bdbd2d.json b/data/questions/06/9a/9ea083bdbd2d.json new file mode 100644 index 0000000000..b5edf2d710 --- /dev/null +++ b/data/questions/06/9a/9ea083bdbd2d.json @@ -0,0 +1 @@ +{"content":"**Which graph shows an exponential function with range $h(x) \\geq 2$?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the left edge and ends on the right side in a filled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/39dcb58dfac8dea36f96eab768b752b5f31503d3)","correct":true},{"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the left edge and ends on the right side in an open, unfilled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/52ae814f25c0de34608eac5ba79df7f49cb62511)","correct":false},{"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the right edge and ends on the left side in an open, unfilled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/638bfebdce3dc8f82d73796f00db4addc2abe49c)","correct":false,"isNoneOfTheAbove":false},{"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the right edge and ends on the left side in a filled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/5c5c85575167aca8e27245a1de07538b7b7e6128)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/06/9b/e4afd2cd8fc3.json b/data/questions/06/9b/e4afd2cd8fc3.json new file mode 100644 index 0000000000..349dd564fa --- /dev/null +++ b/data/questions/06/9b/e4afd2cd8fc3.json @@ -0,0 +1 @@ +{"content":"It takes two slices of bread to make a sandwich. \nWhen you are making sandwiches, the number of slices of bread you will need is a function of the number of sandwiches you want to prepare. Assume $x$ represents the number of sandwiches you want to make, and $y$ represents the number of slices of bread.\n\n**Draw the graph that represents this function.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[1,2]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/9e/1e222ce3044a.json b/data/questions/06/9e/1e222ce3044a.json new file mode 100644 index 0000000000..6f0af5a103 --- /dev/null +++ b/data/questions/06/9e/1e222ce3044a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+5)^2+(y+2)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-5,-2],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/b2/37189cbce36e.json b/data/questions/06/b2/37189cbce36e.json new file mode 100644 index 0000000000..4fe0672932 --- /dev/null +++ b/data/questions/06/b2/37189cbce36e.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dd2a53cbdf9f36a303e5911bcb959ebfa327d33","width":400},"correct":{"coords":[[-6,3],[5,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/b2/a84d1d9d42c2.json b/data/questions/06/b2/a84d1d9d42c2.json new file mode 100644 index 0000000000..8878d260a2 --- /dev/null +++ b/data/questions/06/b2/a84d1d9d42c2.json @@ -0,0 +1 @@ +{"content":"crwdns3508056:0$A$crwdnd3508056:0$x$crwdne3508056:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c01d8cec5fd60d618b8874b7c4e230ee800c5c0","width":400},"correct":{"coords":[[3,3]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/bb/aa5773751778.json b/data/questions/06/bb/aa5773751778.json new file mode 100644 index 0000000000..8a769f9d15 --- /dev/null +++ b/data/questions/06/bb/aa5773751778.json @@ -0,0 +1 @@ +{"content":"**Graph the following system of linear equations and determine the number of its solutions.**\n\n$\\qquad y=3x-8$\n\n$\\qquad 12x-4y=-24$\n\n[[☃ radio 1]]\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,6],[1,9]],[[0,-8],[1,-5]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":false},{"content":"No solutions","correct":true},{"content":"Infinitely many solutions","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/cf/6681273a8103.json b/data/questions/06/cf/6681273a8103.json new file mode 100644 index 0000000000..f7cedc1732 --- /dev/null +++ b/data/questions/06/cf/6681273a8103.json @@ -0,0 +1 @@ +{"content":"[Q3] Draw the ray with initial point at $(0, 0)$ passing through the point $(2, 3)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,0],[2,3]],"type":"ray"},"graph":{"type":"ray"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/d0/0f10508979b9.json b/data/questions/06/d0/0f10508979b9.json new file mode 100644 index 0000000000..1ce76e32a9 --- /dev/null +++ b/data/questions/06/d0/0f10508979b9.json @@ -0,0 +1 @@ +{"content":"crwdns3295112:0$1.75$crwdnd3295112:0$1.5$crwdnd3295112:0$0.5$crwdnd3295112:0$3$crwdnd3295112:0$3.25$crwdnd3295112:0$2$crwdnd3295112:0$17$crwdnd3295112:0$15$crwdnd3295112:0$7$crwdnd3295112:0$19$crwdnd3295112:0$20$crwdnd3295112:0$16$crwdne3295112:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1.75,17],[1.5,15],[0.5,7],[3,19],[3.25,20],[2,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,1],"labels":["crwdns3218676:0{Hours}crwdne3218676:0","crwdns3280467:0{Score}crwdne3280467:0"],"markings":"graph","range":[[-0.5,4],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[0.5,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/d7/6a302be9cff5.json b/data/questions/06/d7/6a302be9cff5.json new file mode 100644 index 0000000000..3cb1ba5f83 --- /dev/null +++ b/data/questions/06/d7/6a302be9cff5.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -4i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/eb/8794685a9f64.json b/data/questions/06/eb/8794685a9f64.json new file mode 100644 index 0000000000..9a8386d71a --- /dev/null +++ b/data/questions/06/eb/8794685a9f64.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(3,-6)$ and has a slope of $-\\dfrac12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,-6],[5,-7]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/f2/0e8b1a2687c0.json b/data/questions/06/f2/0e8b1a2687c0.json new file mode 100644 index 0000000000..3ce65defb2 --- /dev/null +++ b/data/questions/06/f2/0e8b1a2687c0.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(2,2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,2]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/06/f9/b332f3d76f21.json b/data/questions/06/f9/b332f3d76f21.json new file mode 100644 index 0000000000..4168599835 --- /dev/null +++ b/data/questions/06/f9/b332f3d76f21.json @@ -0,0 +1 @@ +{"content":"crwdns4072043:0crwdne4072043:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.538737563125787,2.7098296192522313],[8.314386480284625,8.21707584692013],[1.9804687593972448,2.517371415088168]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/07/ca919eb09551.json b/data/questions/07/07/ca919eb09551.json new file mode 100644 index 0000000000..93bdcf3b57 --- /dev/null +++ b/data/questions/07/07/ca919eb09551.json @@ -0,0 +1 @@ +{"content":"At a research lab, scientists are curious whether the outside temperature can be predicted by the amount that crickets chirp. So they recorded the number of cricket chirps per second, as well as the temperature as it varied throughout the day. The data are shown in the table below. Suppose the researchers use the line $y = 3x +45$ to model temperature as a function of cricket chirps.\n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n**Would an exponential or quadratic model be a better fit for the data?** [[☃ dropdown 1]] \n\n | | | || ||\n- | - | -\n**Cricket chirps per second** | $14$ | $15$| $16$ | $17$| $18$|$19$\n**Temperature ($^o$F)** |$85$ | $90$| $93$ | $95$ | $96$|$96.5$ \n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-2},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-1},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-3},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-5.5},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[19,-5.5],[17,-1],[18,-3],[15,0],[14,-2],[16,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[12,22],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/07/08/4248ea1afe59.json b/data/questions/07/08/4248ea1afe59.json new file mode 100644 index 0000000000..b9e296f058 --- /dev/null +++ b/data/questions/07/08/4248ea1afe59.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to create a triangle with vertices at the following points.** \n\n$(0, -4.5), (−7.5, 0), (0,6.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,-4.5],[-7.5,0],[0,6.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/0d/472bad1a38fb.json b/data/questions/07/0d/472bad1a38fb.json new file mode 100644 index 0000000000..570f8022ba --- /dev/null +++ b/data/questions/07/0d/472bad1a38fb.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+3)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/10/175e544967c3.json b/data/questions/07/10/175e544967c3.json new file mode 100644 index 0000000000..62b996952d --- /dev/null +++ b/data/questions/07/10/175e544967c3.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{3}{2}(x-4)^2+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,3],[2,9]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/15/f1392740105b.json b/data/questions/07/15/f1392740105b.json new file mode 100644 index 0000000000..031246968b --- /dev/null +++ b/data/questions/07/15/f1392740105b.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $2$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a37f02d42c50e709f24d530b14c2141c3da9247c","width":425},"correct":{"coords":[[6,-3],[-2,6],[-7,-3]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/17/9787f2802016.json b/data/questions/07/17/9787f2802016.json new file mode 100644 index 0000000000..82fe7dcc2a --- /dev/null +++ b/data/questions/07/17/9787f2802016.json @@ -0,0 +1 @@ +{"content":"**Construct a $180^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/1f/acd066b9f937.json b/data/questions/07/1f/acd066b9f937.json new file mode 100644 index 0000000000..a9f3bb0313 --- /dev/null +++ b/data/questions/07/1f/acd066b9f937.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $y=(x-3.5)(6x-15)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the equation.**\n\n[[☃ grapher 2]]\n\n","images":{},"widgets":{"grapher 2":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-1.5],[3.5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-3,7],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/29/3733e7c376e0.json b/data/questions/07/29/3733e7c376e0.json new file mode 100644 index 0000000000..d43be9ec3a --- /dev/null +++ b/data/questions/07/29/3733e7c376e0.json @@ -0,0 +1 @@ +{"content":"crwdns3362584:0$fcrwdnd3362584:0$gcrwdnd3362584:0{x-3}crwdnd3362584:0$ycrwdnd3362584:0$ycrwdnd3362584:0$x_1$crwdnd3362584:0$x_2$crwdnd3362584:0{x-3}crwdnd3362584:0$x_1crwdnd3362584:0$x_1$crwdnd3362584:0{0.5}crwdne3362584:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"asymptote":[[-10,-2],[10,-2]],"coords":[[4,0],[3,-1]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bfd5111473805a2b9c929913bf3271f73a771125","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":4.729},{"maxError":0.5,"message":"crwdns3882553:0crwdne3882553:0","simplify":"required","status":"wrong","strict":false,"value":1.2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/29/faa493dfb87f.json b/data/questions/07/29/faa493dfb87f.json new file mode 100644 index 0000000000..cc4ed50533 --- /dev/null +++ b/data/questions/07/29/faa493dfb87f.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the right and $5$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/33a2a5c04e8d8c2bea17a91f664c1a678371f18d","width":425},"correct":{"coords":[[5,-6],[6,-4],[-3,-2],[-2,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/33/9ae234b9b4c8.json b/data/questions/07/33/9ae234b9b4c8.json new file mode 100644 index 0000000000..00a794b976 --- /dev/null +++ b/data/questions/07/33/9ae234b9b4c8.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=4\\log_3(-x-3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"logarithm","asymptote":[[-3,-10],[-3,10]],"coords":[[-4,0],[-6,4]]},"availableTypes":["logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/38/587c475f9845.json b/data/questions/07/38/587c475f9845.json new file mode 100644 index 0000000000..d4bad4b372 --- /dev/null +++ b/data/questions/07/38/587c475f9845.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a5556ae2d4dcf70eddd27baeb1430a5589873e1d","width":430},"correct":{"coords":[[-8,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/43/7a1d07d7210c.json b/data/questions/07/43/7a1d07d7210c.json new file mode 100644 index 0000000000..c247794cb8 --- /dev/null +++ b/data/questions/07/43/7a1d07d7210c.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-6|+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[6,5],[0,11]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/53/ca4b17862614.json b/data/questions/07/53/ca4b17862614.json new file mode 100644 index 0000000000..ba0844fd44 --- /dev/null +++ b/data/questions/07/53/ca4b17862614.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+(y-1)^2=64$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,1],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/55/e9d30a21c4a7.json b/data/questions/07/55/e9d30a21c4a7.json new file mode 100644 index 0000000000..56b3aaabb1 --- /dev/null +++ b/data/questions/07/55/e9d30a21c4a7.json @@ -0,0 +1 @@ +{"content":"crwdns3462942:0$hcrwdnd3462942:0{3}crwdnd3462942:0{2}crwdne3462942:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,6],[-8,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/5b/46a2dfee4f57.json b/data/questions/07/5b/46a2dfee4f57.json new file mode 100644 index 0000000000..63e1b3b155 --- /dev/null +++ b/data/questions/07/5b/46a2dfee4f57.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $4$ units to the right and $1$ unit up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b07152498a84c8447f211b57cd7aff1a5a7b754d","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[5,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/61/3af14514b50f.json b/data/questions/07/61/3af14514b50f.json new file mode 100644 index 0000000000..6bb9bbdfd5 --- /dev/null +++ b/data/questions/07/61/3af14514b50f.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-3$|$-2$|$-2$|$-2$|$-6$\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dffe9451f3a174c6e644405b1601b2ba241c3dfa","width":400},"correct":{"coords":[[[-5,6],[5,1]],[[-5,3],[5,-2]],[[-5,0],[5,-2]],[[-5,-3],[5,-2]],[[-5,-6],[5,4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/07/62/f47a091b0979.json b/data/questions/07/62/f47a091b0979.json new file mode 100644 index 0000000000..f3f22dfaf9 --- /dev/null +++ b/data/questions/07/62/f47a091b0979.json @@ -0,0 +1 @@ +{"content":"Martevius listens to music while he does homework each day.\n\nHe recorded the number of songs he listened to and how long (in hours) he spent on his homework for five days this week.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Songs** | $23$ | $11$ | $18$ | $27$ | $19$\n**Time (hours)** | $2$ | $1$ | $1.5$ | $3$ | $2$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["$\\text{Songs}$","$\\text{Time}$"],"range":[[-2,30],[-0.5,5]],"step":[2,0.5],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"point","numPoints":"unlimited"},"valid":true,"correct":{"type":"point","numPoints":"unlimited","coords":[[23,2],[11,1],[18,1.5],[27,3],[19,2]]},"gridStep":[2,0.5],"snapStep":[1,0.25],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/74/89c84f2ac4e8.json b/data/questions/07/74/89c84f2ac4e8.json new file mode 100644 index 0000000000..b8cb9c2401 --- /dev/null +++ b/data/questions/07/74/89c84f2ac4e8.json @@ -0,0 +1 @@ +{"content":"crwdns6727000:0$xcrwdne6727000:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[6,-3],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/77/661f751d4d96.json b/data/questions/07/77/661f751d4d96.json new file mode 100644 index 0000000000..49687f4c1f --- /dev/null +++ b/data/questions/07/77/661f751d4d96.json @@ -0,0 +1 @@ +{"content":"Nani drew $2$ of the same rectangle with an area of $9$ square units. She turned one sideways.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $9$ units long.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7fa446be7a4b0009f0f86c6ea444654cb24d2ade","width":400},"correct":{"coords":[[0,-2],[0,1],[-3,1],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/78/e6fa7afe8c45.json b/data/questions/07/78/e6fa7afe8c45.json new file mode 100644 index 0000000000..a49c6e04c9 --- /dev/null +++ b/data/questions/07/78/e6fa7afe8c45.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c0ef3aa1318514419095f71c788ceeca64d66272","width":400},"correct":{"coords":[[0,-2],[0,1],[-3,1],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/7b/90ce7f9e841d.json b/data/questions/07/7b/90ce7f9e841d.json new file mode 100644 index 0000000000..2af665d250 --- /dev/null +++ b/data/questions/07/7b/90ce7f9e841d.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& 21x+7y=42\n\\\\\\\\\n& -5x+5y=10\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,6],[2,0]],[[0,2],[-2,0]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"íìńňṕṗúùťț áàńňśŝẃẁéèŕř","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"íìńňṕṗúùťț áàńňśŝẃẁéèŕř","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/7d/dc1a51c5701b.json b/data/questions/07/7d/dc1a51c5701b.json new file mode 100644 index 0000000000..8c637b7c0f --- /dev/null +++ b/data/questions/07/7d/dc1a51c5701b.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a3ba49649f062ff70e59e8463b0c8f74c97bb996","width":425},"correct":{"coords":[[5,6],[-3,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/83/c4e45953ed39.json b/data/questions/07/83/c4e45953ed39.json new file mode 100644 index 0000000000..b26f9029d2 --- /dev/null +++ b/data/questions/07/83/c4e45953ed39.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the hexagon by connecting two black points.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/0f55039bab46b48fbba040bcf59b4ebff9414926.png","width":400},"correct":{"coords":[[4,4.5],[4,-9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-5,10],[-10,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/85/88867de80cb8.json b/data/questions/07/85/88867de80cb8.json new file mode 100644 index 0000000000..52d3a3bb55 --- /dev/null +++ b/data/questions/07/85/88867de80cb8.json @@ -0,0 +1 @@ +{"content":"A hovercraft takes off from a platform. The function $f$ models the height of the hovercraft above the ground (in meters) as a function of time (in seconds) after it takes off.\n\n**Plot the point on the graph of $f$ that corresponds to the time when the hovercraft reached its maximum height.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/76159578db3fed0900ad1974af7c6042cb2d18fa","width":400},"correct":{"coords":[[1,8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["\\ťțéèẍẋťț{ŤŢíìḿṁéè (śŝéèćĉóòńňďđśŝ)}","\\ťțéèẍẋťț{ĤȞéèíìĝǧĥȟťț (ḿṁéèťțéèŕřśŝ)}"],"markings":"none","range":[[-2,4],[-1,9]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/87/facfd0cf77db.json b/data/questions/07/87/facfd0cf77db.json new file mode 100644 index 0000000000..e38021591c --- /dev/null +++ b/data/questions/07/87/facfd0cf77db.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw an isosceles trapezoid with vertices at $(-2,8)$ and $(-4,-1)$, another vertex at $(3,8)$, and a base $9$ units long that is parallel to the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-4,-1],[5,-1],[3,8],[-2,8]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/88/6df6f003f1af.json b/data/questions/07/88/6df6f003f1af.json new file mode 100644 index 0000000000..077db5c34f --- /dev/null +++ b/data/questions/07/88/6df6f003f1af.json @@ -0,0 +1 @@ +{"content":"**Construct a $140^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[7.699870174911066,-2.539041776119187],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/8e/9fc2d2907dee.json b/data/questions/07/8e/9fc2d2907dee.json new file mode 100644 index 0000000000..1afb707a4c --- /dev/null +++ b/data/questions/07/8e/9fc2d2907dee.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\cos\\left(\\dfrac{\\pi}{6}x\\right)-6$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[3,-6],[0,-9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/90/50fa85649bbb.json b/data/questions/07/90/50fa85649bbb.json new file mode 100644 index 0000000000..6dba642225 --- /dev/null +++ b/data/questions/07/90/50fa85649bbb.json @@ -0,0 +1 @@ +{"content":"crwdns3416379:0{ cm}crwdnd3416379:0{ cm}crwdne3416379:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5765d94c0e367262dcdad789b19cf10f4deecb04.png","width":400},"correct":{"coords":[[9,-9],[9,9],[-9,9],[-9,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/a2/96f0cdf1747f.json b/data/questions/07/a2/96f0cdf1747f.json new file mode 100644 index 0000000000..bbaa68a7d9 --- /dev/null +++ b/data/questions/07/a2/96f0cdf1747f.json @@ -0,0 +1 @@ +{"content":"$\\triangle{RUG}$ is rotated $180^\\circ$ about the point $(3,-2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5cc9797e149c7562c4b6e9149d055fbf2aff382","width":425},"correct":{"coords":[[1,-6],[-1,-8],[7,-8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/af/03b7b0941e55.json b/data/questions/07/af/03b7b0941e55.json new file mode 100644 index 0000000000..bec8c4e8cf --- /dev/null +++ b/data/questions/07/af/03b7b0941e55.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{34} \\left( \\cos(329 \\degree) + i\\sin(329 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[5,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/b6/9f20c65f6763.json b/data/questions/07/b6/9f20c65f6763.json new file mode 100644 index 0000000000..72f7b1043c --- /dev/null +++ b/data/questions/07/b6/9f20c65f6763.json @@ -0,0 +1 @@ +{"content":"crwdns6544098:0crwdne6544098:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b0ffac78e0024194b91fa2673ff93d86cdfcdeb7","width":400},"correct":{"coords":[[-8,8],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/b9/ff513511d4e3.json b/data/questions/07/b9/ff513511d4e3.json new file mode 100644 index 0000000000..fef777c996 --- /dev/null +++ b/data/questions/07/b9/ff513511d4e3.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=x^3+x^2-9x-9$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[3,0],[-3,0],[1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/c3/eff3066e0bb6.json b/data/questions/07/c3/eff3066e0bb6.json new file mode 100644 index 0000000000..650223399a --- /dev/null +++ b/data/questions/07/c3/eff3066e0bb6.json @@ -0,0 +1 @@ +{"content":"The interactive graph below contains the graph of $y=3^x$ as a dashed curve, with the points $(0,1)$ and $(1,3)$ highlighted.\n\n**Adjust the movable graph to draw $y=-2\\cdot 3^x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9b46a2a967fc2d1bb7b22e610ba4449aee64d606","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/c5/7261136dd623.json b/data/questions/07/c5/7261136dd623.json new file mode 100644 index 0000000000..5dc7d1f6bf --- /dev/null +++ b/data/questions/07/c5/7261136dd623.json @@ -0,0 +1 @@ +{"content":"The $4$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $4$ points, plot the $4$ corresponding points that must be on the graph of $y=\\log_b{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/3586951a3290430cb8496de9ef8ea2460c6d4b9c.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-6,29],[-6,29]],"gridStep":[2,2],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[9,2],[3,1],[1,0],[27,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/cb/2fb846626302.json b/data/questions/07/cb/2fb846626302.json new file mode 100644 index 0000000000..266e3f98f9 --- /dev/null +++ b/data/questions/07/cb/2fb846626302.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/65fccf9af40cdce311f69092bef8156d14383ce5","width":425},"correct":{"coords":[[-5,0],[1,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/e3/0b54378be517.json b/data/questions/07/e3/0b54378be517.json new file mode 100644 index 0000000000..1d75b05c88 --- /dev/null +++ b/data/questions/07/e3/0b54378be517.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $y$-axis.**\n\n [[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e44dc78fb0ee6d1f284308681a95bd8118a608d","width":400},"correct":{"coords":[[8,5]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/f3/71143b08771e.json b/data/questions/07/f3/71143b08771e.json new file mode 100644 index 0000000000..b290a8116a --- /dev/null +++ b/data/questions/07/f3/71143b08771e.json @@ -0,0 +1 @@ +{"content":"Tom's bakery is on Main street.\n\n(show Tom's bakery on a map where the scale is clear)\n\n**Move the points to redraw Tom's bakery on map below. Make sure you draw it to scale!**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/07/fe/92e5b38d088b.json b/data/questions/07/fe/92e5b38d088b.json new file mode 100644 index 0000000000..f7011b94ce --- /dev/null +++ b/data/questions/07/fe/92e5b38d088b.json @@ -0,0 +1 @@ +{"content":"Although you love to watch TV, you have made a goal to spend more time outdoors. You decide that you will spend $2$ times as many hours outdoors as you spend watching TV. \n\n**Write an equation for the number of hours you will spend outdoors, $o$, when you spend $t$ hours watching TV.** \n\n [[☃ expression 1]]\n\n\nLast week, you watched $4$ hours of TV. This week, you watched $8$ hours of TV.\n\n**Place points on the graph to show your activity for last week and this week.**\n\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"o=2t"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[4,8],[8,16]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["$\\text{TV hours}$","$\\text{Outdoor hours}$"],"markings":"graph","range":[[-1,11],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/00/e1a7d5bb20b6.json b/data/questions/08/00/e1a7d5bb20b6.json new file mode 100644 index 0000000000..992f85962a --- /dev/null +++ b/data/questions/08/00/e1a7d5bb20b6.json @@ -0,0 +1 @@ +{"content":"crwdns3077927:0$7.5$crwdne3077927:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/6b26442bc495ccd3ba886f4e22d96c2d645a6c79.png","width":400},"correct":{"coords":[[8,-8],[8,7],[-7,7],[-7,-8]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/03/aed1917c0a30.json b/data/questions/08/03/aed1917c0a30.json new file mode 100644 index 0000000000..5757abbf77 --- /dev/null +++ b/data/questions/08/03/aed1917c0a30.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -3|x-1|+9, ~~\\text{Domain}~~[-4,5]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":9},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[1,9],[-4,-6]],[[1,9],[5,-3]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/08/09/53cd6a93e7b3.json b/data/questions/08/09/53cd6a93e7b3.json new file mode 100644 index 0000000000..f3e270b2cf --- /dev/null +++ b/data/questions/08/09/53cd6a93e7b3.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-6$|$3$|$-6$|$2$|$-6$\n\n**Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93f893be5d4f1d7a3afba7f5cca7c155e1b75863","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/08/0f/3c028b9c6e49.json b/data/questions/08/0f/3c028b9c6e49.json new file mode 100644 index 0000000000..c188ae2a2a --- /dev/null +++ b/data/questions/08/0f/3c028b9c6e49.json @@ -0,0 +1 @@ +{"content":"**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n$R=\\left[\\begin{array} {ccc}\n2 & -1 \\\\\n1 & 2 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a458f7712ff37ef9cc68e513b64f5e27ae200dea","width":425},"correct":{"coords":[[2,1],[-2,9],[-10,5]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-11,11],[-11,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/22/8d8efee41f26.json b/data/questions/08/22/8d8efee41f26.json new file mode 100644 index 0000000000..e37c9d2c5f --- /dev/null +++ b/data/questions/08/22/8d8efee41f26.json @@ -0,0 +1 @@ +{"content":"**Construct a $120^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/3612148aef6e164000279caffcc323d506c6c8a1.png":{"height":317,"width":395},"https://ka-perseus-images.s3.amazonaws.com/e5b403fb5e57b69cb05371dce708156c60a2a13f.png":{"height":162,"width":292}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[5.101601255800863,-0.1637674249957186],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/24/0550dc1d1d5b.json b/data/questions/08/24/0550dc1d1d5b.json new file mode 100644 index 0000000000..4cc6749f28 --- /dev/null +++ b/data/questions/08/24/0550dc1d1d5b.json @@ -0,0 +1 @@ +{"content":"crwdns3139196:0crwdne3139196:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,8],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6},{"maxError":null,"message":"crwdns3881777:0crwdne3881777:0","simplify":"required","status":"wrong","strict":false,"value":-6}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/25/03c9b283d29d.json b/data/questions/08/25/03c9b283d29d.json new file mode 100644 index 0000000000..2dda8c7cc3 --- /dev/null +++ b/data/questions/08/25/03c9b283d29d.json @@ -0,0 +1 @@ +{"content":"**On the graph below, use the two points to draw a line through the point $(1,-2)$ that will create a system of equations with *infinitely many* solutions.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/33736f44b25d918d38170e16d234648323081de1.png","width":425},"correct":{"coords":[[-1,6],[1,-2]],"type":"linear"},"graph":{"type":"linear"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/08/27/15e25af7dee4.json b/data/questions/08/27/15e25af7dee4.json new file mode 100644 index 0000000000..fde0c3f448 --- /dev/null +++ b/data/questions/08/27/15e25af7dee4.json @@ -0,0 +1 @@ +{"content":"crwdns5193755:0$B$crwdnd5193755:0$x$crwdne5193755:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/48a4f7d258d34b65626e17c807062914a87f8a3d","width":425},"correct":{"coords":[[-3,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/32/6a73e1c20f43.json b/data/questions/08/32/6a73e1c20f43.json new file mode 100644 index 0000000000..3079ad6242 --- /dev/null +++ b/data/questions/08/32/6a73e1c20f43.json @@ -0,0 +1 @@ +{"content":"crwdns4135215:0$24$crwdnd4135215:0$y$crwdnd4135215:0$x$crwdnd4135215:0$18$crwdnd4135215:0$22$crwdne4135215:0","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=24-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[18,6],[22,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[2,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,25],[-1,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/3b/10da5d450cca.json b/data/questions/08/3b/10da5d450cca.json new file mode 100644 index 0000000000..692c7e1252 --- /dev/null +++ b/data/questions/08/3b/10da5d450cca.json @@ -0,0 +1 @@ +{"content":"$\\triangle{LEO}$ is rotated $-270^\\circ$ about the point $(1,1)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c0d23f37c50dd4d10be4b2fc3de359165075cfd0","width":425},"correct":{"coords":[[-2,-3],[1,-6],[5,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/3b/d12a2f6bbb95.json b/data/questions/08/3b/d12a2f6bbb95.json new file mode 100644 index 0000000000..4516913808 --- /dev/null +++ b/data/questions/08/3b/d12a2f6bbb95.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+4)^2+(y-2)^2=36$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-4,2],"radius":6}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/44/561231b54182.json b/data/questions/08/44/561231b54182.json new file mode 100644 index 0000000000..3289e75f66 --- /dev/null +++ b/data/questions/08/44/561231b54182.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to build its new location halfway between the towns of Springfield and Greenville. Springfield is located at $(10,3)$ on the map below. Greenville is located at $(10,11)$. \n\n**Plot Springfield, Greenville, and the new shelter on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the animal shelter build its new location?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,14],[-1,14]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[10,3],[10,7],[10,11]]}},"version":{"major":0,"minor":0}},"input-number 1":{"type":"input-number","alignment":"default","static":false,"graded":true,"options":{"value":10,"simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number","rightAlign":false},"version":{"major":0,"minor":0}},"input-number 2":{"type":"input-number","alignment":"default","static":false,"graded":true,"options":{"value":7,"simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/47/3aa77f7c9503.json b/data/questions/08/47/3aa77f7c9503.json new file mode 100644 index 0000000000..d788fd51f8 --- /dev/null +++ b/data/questions/08/47/3aa77f7c9503.json @@ -0,0 +1 @@ +{"content":"**Make an obtuse angle by using the three black points as follows.** \n\n**Drag the vertex of the angle to place the vertex at the correct black point.** \n\n**Drag the points on the rays to make the rays go through the other two black points.** \n*The arc symbol near the 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function.**\n\n$f(x)=\\dfrac{3}{8}(x -1)(x -9)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-6],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/57/9ebe855a7ecc.json b/data/questions/08/57/9ebe855a7ecc.json new file mode 100644 index 0000000000..7b4b1d4d6e --- /dev/null +++ b/data/questions/08/57/9ebe855a7ecc.json @@ -0,0 +1 @@ +{"content":"crwdns3382822:0crwdne3382822:0","images":{},"widgets":{"input-number 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b/data/questions/08/62/9d87706b0a00.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create a right angle.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n\n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":true},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":false},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 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a/data/questions/08/7f/6d475726f88f.json b/data/questions/08/7f/6d475726f88f.json new file mode 100644 index 0000000000..b69747dc94 --- /dev/null +++ b/data/questions/08/7f/6d475726f88f.json @@ -0,0 +1 @@ +{"content":"**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n$R=\\left[\\begin{array} {ccc}\n2 & -1 \\\\\n1 & 2 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a458f7712ff37ef9cc68e513b64f5e27ae200dea","width":425},"correct":{"coords":[[2,1],[-2,9],[-10,5]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-11,11],[-11,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/99/04577ee69119.json b/data/questions/08/99/04577ee69119.json new file mode 100644 index 0000000000..8731ac07b6 --- /dev/null +++ b/data/questions/08/99/04577ee69119.json @@ -0,0 +1 @@ +{"content":"You’ve just been seated at your favorite Las Vegas buffet. You have $90$ minutes to eat your money’s worth by scarfing down as many plates of food and dessert as you possibly can.\n\nIt takes you $3$ minutes to eat a plate of food. You can eat a plate of dessert in $2$ minutes.\n\n**Write an *inequality* that represents the number of food plates $(F)$ and dessert plates $(D)$ you can finish within the time limit.** \n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $F$ on the horizontal axis and $D$ on the vertical axis.** \n\n[[☃ interactive-graph 1]]\n\n**If you eat $20$ plates of food $(F)$, which of the following numbers of dessert plates $(D)$ can you have without exceeding the time limit and being dragged away by restaurant security?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"3F+2D<=90"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"3f+2d\\le90"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,45],[30,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["F","D"],"markings":"graph","range":[[-5,50],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$12$","correct":true},{"content":"$15$","correct":true},{"content":"$18$","correct":false},{"content":"$20$","correct":false},{"content":"$25$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/08/a1/99afc580a307.json b/data/questions/08/a1/99afc580a307.json new file mode 100644 index 0000000000..ea6b389730 --- /dev/null +++ b/data/questions/08/a1/99afc580a307.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$15$|$9$|$13$|$7$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 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[2] ĆĈĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ íìśŝ áà ṕṗóòṕṗúùĺľáàŕř ṕṗáàśŝťțíìḿṁéè. [3] ŤŢĥȟéèśŝéè śŝíìńňĝǧéèŕřśŝ óòḟťțéèńň ŕřéèṕṗóòŕřťț áàńň íìńňćĉŕřéèáàśŝéèďđ śŝéèńňśŝéè óòḟ ẃẁéèĺľĺľ-ƀḃéèíìńňĝǧ áàńňďđ ćĉáàḿṁáàŕřáàďđéèŕříìéè, ƀḃúùťț ďđóòéèśŝ ťțĥȟíìśŝ ĥȟóòƀḃƀḃý áàćĉťțúùáàĺľĺľý ŕřéèśŝúùĺľťț íìńň ƀḃéèťțťțéèŕř ĥȟéèáàĺľťțĥȟ? [4] ÁÀćĉćĉóòŕřďđíìńňĝǧ ťțóò ḿṁúùĺľťțíìṕṗĺľéè śŝćĉíìéèńňťțíìḟíìćĉ śŝťțúùďđíìéèśŝ, śŝíìńňĝǧíìńňĝǧ--éèśŝṕṗéèćĉíìáàĺľĺľý ẃẁíìťțĥȟ óòťțĥȟéèŕřśŝ--ṕṗŕřóòṽṿíìďđéèśŝ ćĉóòńňćĉŕřéèťțéè ƀḃéèńňéèḟíìťțśŝ ťțóò ĥȟéèáàŕřťț áàńňďđ ƀḃŕřáàíìńň ĥȟéèáàĺľťțĥȟ. [[1]]\n \nÁÀ 2013 śŝťțúùďđý áàťț ŚŜẃẁéèďđéèńň’śŝ ÚÙńňíìṽṿéèŕřśŝíìťțý óòḟ ĜǦóòťțĥȟéèńňƀḃúùŕřĝǧ éèẍẋáàḿṁíìńňéèďđ ťțĥȟéè ĥȟéèáàŕřťț ŕřáàťțéèśŝ óòḟ 18 ýóòúùńňĝǧ ṕṗéèóòṕṗĺľéè áàśŝ ťțĥȟéèý śŝáàńňĝǧ áàńňďđ ĥȟúùḿṁḿṁéèďđ [[2]] __ḟóòŕř__ úùńňíìśŝóòńň. ĤȞéèáàŕřťț ŕřáàťțéè ṽṿáàŕříìáàƀḃíìĺľíìťțý (ĤȞŔŘṼṾ), ťțĥȟéè íìńňćĉŕřéèáàśŝéè áàńňďđ ďđéèćĉŕřéèáàśŝéè íìńň ĥȟéèáàŕřťț ŕřáàťțéè, óòćĉćĉúùŕřŕřéèďđ śŝíìḿṁúùĺľťțáàńňéèóòúùśŝĺľý ẃẁíìťțĥȟ śŝúùƀḃĵéèćĉťțśŝ’ śŝĺľóòẃẁéèďđ ƀḃŕřéèáàťțĥȟíìńňĝǧ ẃẁĥȟíìĺľéè śŝíìńňĝǧíìńňĝǧ. ŤŢĥȟíìśŝ ćĉóòḿṁƀḃíìńňáàťțíìóòńň óòḟ ḟĺľúùćĉťțúùáàťțíìńňĝǧ ĥȟéèáàŕřťț ŕřáàťțéè áàńňďđ śŝĺľóòẃẁéèďđ ƀḃŕřéèáàťțĥȟíìńňĝǧ [[3]] __áàŕřéè__ ćĉáàĺľĺľéèďđ ŕřéèśŝṕṗíìŕřáàťțóòŕřý śŝíìńňúùśŝ áàŕřŕřĥȟýťțĥȟḿṁíìáà (ŔŘŚŜÁÀ), áàńňďđ íìťț ĥȟáàśŝ ƀḃéèéèńň ṕṗŕřóòṽṿéèńň ťțóò ŕřéèďđúùćĉéè ťțĥȟéè ĺľíìķḱéèĺľíìĥȟóòóòďđ óòḟ ćĉáàŕřďđíìóòṽṿáàśŝćĉúùĺľáàŕř [[4]] __ďđíìśŝéèáàśŝéè áà ṕṗŕříìóòŕř ḟíìńňďđíìńňĝǧ íìńňďđéèṕṗéèńňďđéèńňťț óòḟ ťțĥȟéè 2013 śŝťțúùďđý.__ ÓÒńňéè íìńňťțéèŕřéèśŝťțíìńňĝǧ ḟíìńňďđíìńňĝǧ ḟŕřóòḿṁ ťțĥȟíìśŝ śŝťțúùďđý íìśŝ ťțĥȟáàťț ťțĥȟéè śŝúùƀḃĵéèćĉťțśŝ’ ĥȟéèáàŕřťțƀḃéèáàťțśŝ śŝýńňćĉĥȟŕřóòńňíìźžéèďđ ẃẁĥȟíìĺľéè ťțĥȟéèý śŝáàńňĝǧ ťțóòĝǧéèťțĥȟéèŕř. ŤŢĥȟíìśŝ ḿṁáàý ƀḃéè áà ḟáàćĉťțóòŕř íìńň ćĉĥȟóòíìŕř śŝíìńňĝǧéèŕřśŝ’ ŕřéèṕṗóòŕřťțéèďđ ḟéèéèĺľíìńňĝǧśŝ óòḟ ĥȟáàṕṗṕṗíìńňéèśŝśŝ áàńňďđ ƀḃóòńňďđíìńňĝǧ.\n \n[[5]] __ṔṖéèóòṕṗĺľéè ḟéèéèĺľ áà ķḱéèéèńň śŝéèńňśŝéè óòḟ ƀḃóòńňďđíìńňĝǧ ẃẁĥȟéèńň ťțĥȟéèý śŝíìńňĝǧ ťțóòĝǧéèťțĥȟéèŕř.__ ŚŜíìńňĝǧíìńňĝǧ śŝťțíìḿṁúùĺľáàťțéèśŝ ťțĥȟéè ŕříìĝǧĥȟťț ťțéèḿṁṕṗóòŕřáàĺľ ĺľóòƀḃéè óòḟ ťțĥȟéè ƀḃŕřáàíìńň áàńňďđ ŕřéèĺľéèáàśŝéèśŝ [[6]] __éèńňďđóòŕřṕṗĥȟíìńňśŝ. ÉÈńňďđóòŕřṕṗĥȟíìńňśŝ ƀḃĺľúùńňťț__ ṕṗáàíìńň áàńňďđ éèńňĝǧéèńňďđéèŕř ḟéèéèĺľíìńňĝǧśŝ óòḟ ṕṗĺľéèáàśŝúùŕřéè. ĆĈóòŕřťțíìśŝóòĺľ, áà ĥȟóòŕřḿṁóòńňáàĺľ ŕřéèáàćĉťțíìóòńň ťțóò śŝťțŕřéèśŝśŝ áàńňďđ ťțĥȟéè śŝéèćĉŕřéèťțíìóòńň óòḟ ẃẁĥȟíìćĉĥȟ ťțĥȟéè ƀḃŕřáàíìńň ćĉóòńňťțŕřóòĺľśŝ, ďđéèćĉŕřéèáàśŝéèśŝ áàḟťțéèŕř ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ. ḾṀéèáàńňẃẁĥȟíìĺľéè, óòẍẋýťțóòćĉíìńň, ẃẁĥȟíìćĉĥȟ ťțĥȟéè ƀḃŕřáàíìńň íìńňťțéèŕřṕṗŕřéèťțśŝ áàśŝ áà ḟéèéèĺľíìńňĝǧ óòḟ éèḿṁóòťțíìóòńňáàĺľ ƀḃóòńňďđíìńňĝǧ, íìśŝ íìńňćĉŕřéèáàśŝéèďđ. ÎÏńň áà śŝťțúùďđý áàťț ÓÒẍẋḟóòŕřďđ ɃḂŕřóòóòķḱéèśŝ ÚÙńňíìṽṿéèŕřśŝíìťțý, ŕřéèśŝéèáàŕřćĉĥȟéèŕřśŝ śŝúùŕřṽṿéèýéèďđ 375 ṕṗéèóòṕṗĺľéè ẃẁĥȟóò éèíìťțĥȟéèŕř śŝáàńňĝǧ áàĺľóòńňéè, śŝáàńňĝǧ íìńň áà ćĉĥȟóòíìŕř, óòŕř ṕṗáàŕřťțíìćĉíìṕṗáàťțéèďđ íìńň óòŕřĝǧáàńňíìźžéèďđ śŝṕṗóòŕřťțśŝ. ŤŢĥȟóòśŝéè ẃẁĥȟóò śŝáàńňĝǧ íìńň ćĉĥȟóòíìŕř ŕřéèṕṗóòŕřťțéèďđ ťțĥȟéè ĥȟíìĝǧĥȟéèśŝťț ĺľéèṽṿéèĺľśŝ óòḟ ĥȟáàṕṗṕṗíìńňéèśŝśŝ. [[7]] __ĎĐúùéè ťțóò__ íìťțśŝ ṕṗóòśŝíìťțíìṽṿéè śŝíìďđéè éèḟḟéèćĉťțśŝ, ťțĥȟéèŕřáàṕṗíìśŝťțśŝ ĥȟáàṽṿéè úùśŝéèďđ ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ áàśŝ [[8]] __áàńň éèĺľéèḿṁéèńňťț__ ḟóòŕř ťțĥȟóòśŝéè ďđéèáàĺľíìńňĝǧ ẃẁíìťțĥȟ ďđéèṕṗŕřéèśŝśŝíìóòńň áàńňďđ ćĉĥȟŕřóòńňíìćĉ ṕṗáàíìńň. ÁÀ śŝťțúùďđý ḟŕřóòḿṁ áàńň áàŕřťțśŝ áàńňďđ ĥȟéèáàĺľťțĥȟ ŕřéèśŝéèáàŕřćĉĥȟ ćĉéèńňťțéèŕř íìńň ĆĈáàńňťțéèŕřƀḃúùŕřý, ÉÈńňĝǧĺľáàńňďđ, ḟóòĺľĺľóòẃẁéèďđ ťțĥȟéè ṕṗŕřóòĝǧŕřéèśŝśŝ óòḟ ṕṗáàťțíìéèńňťțśŝ ďđíìáàĝǧńňóòśŝéèďđ ẃẁíìťțĥȟ ďđéèṕṗŕřéèśŝśŝíìóòńň ḟóòŕř áà ýéèáàŕř áàḟťțéèŕř ťțĥȟéèý ĵóòíìńňéèďđ áà ćĉĥȟóòíìŕř. ŚŜíìẍẋťțý ṕṗéèŕřćĉéèńňťț óòḟ ṕṗáàťțíìéèńňťțśŝ ŕřéèṕṗóòŕřťțéèďđ íìḿṁṕṗŕřóòṽṿéèďđ ḿṁéèńňťțáàĺľ ĥȟéèáàĺľťțĥȟ áàťț ťțĥȟéè éèńňďđ óòḟ ťțĥȟáàťț ýéèáàŕř, áàńňďđ śŝóòḿṁéè ẃẁéèŕřéè ńňóò ĺľóòńňĝǧéèŕř [[9]] __éèẍẋṕṗéèŕříìéèńňćĉíìńňĝǧ śŝúùḟḟéèŕříìńňĝǧ ḟŕřóòḿṁ ćĉĺľíìńňíìćĉáàĺľ ďđéèṕṗŕřéèśŝśŝíìóòńň.__\n \n[[10]] Ḟŕřóòḿṁ ťțĥȟéè ćĉĥȟáàńňĝǧéèśŝ íìńň ĥȟéèáàŕřťțƀḃéèáàťț áàńňďđ ƀḃŕřéèáàťțĥȟíìńňĝǧ ťțĥȟáàťț ŕřéèśŝúùĺľťț íìńň áà ĥȟéèáàĺľťțĥȟíìéèŕř ĥȟéèáàŕřťț, ťțóò ťțĥȟéè ŕřéèďđúùćĉťțíìóòńň óòḟ ćĉóòŕřťțíìśŝóòĺľ áàńňďđ ṕṗŕřóòďđúùćĉťțíìóòńň óòḟ éèńňďđóòŕřṕṗĥȟíìńňśŝ ťțĥȟáàťț ĺľóòẃẁéèŕř śŝťțŕřéèśŝśŝ áàńňďđ íìńňćĉŕřéèáàśŝéè [[11]] __ĥȟáàṕṗṕṗíìńňéèśŝśŝ. ĆĈĥȟóòíìŕř__ śŝíìńňĝǧíìńňĝǧ ḟúùĺľḟíìĺľĺľśŝ ĥȟúùḿṁáàńňśŝ ƀḃý ĺľéèťțťțíìńňĝǧ ťțĥȟéèḿṁ ćĉŕřéèáàťțéè áàŕřťț ẃẁĥȟíìĺľéè ƀḃéèíìńňĝǧ ṕṗáàŕřťț óòḟ áà ĝǧŕřóòúùṕṗ.","passageTitle":"ṔṖŕřéèáàćĉĥȟíìńňĝǧ ťțóò ťțĥȟéè ĆĈĥȟóòíìŕř: ťțĥȟéè ĤȞéèáàĺľťțĥȟ ɃḂéèńňéèḟíìťțśŝ óòḟ ŚŜíìńňĝǧíìńňĝǧ","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/17/2c925cef05e0.json b/data/questions/09/17/2c925cef05e0.json new file mode 100644 index 0000000000..8b40f14581 --- /dev/null +++ b/data/questions/09/17/2c925cef05e0.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"exponential","asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]]},"availableTypes":["exponential"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/23/1ded62cf342f.json b/data/questions/09/23/1ded62cf342f.json new file mode 100644 index 0000000000..0dec3d2bf2 --- /dev/null +++ b/data/questions/09/23/1ded62cf342f.json @@ -0,0 +1 @@ +{"content":"Archimedes had a bath and then drained the water in his tub. The dashed line in the widget below describes the amount of water left in the tub (in liters) as a function of time (in minutes).\n\nA day later Archimedes had another bath, this time with $40$ liters of water more. When he drained the tub, the draining occurred at the same rate as before.\n\n**Drag the points to define the amount of water left in the tub as a function of time for the second day.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[0,400],[2,280]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24fd7b1842dc52b14b11ac8cc62e41688f98b06f","width":400},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,40],"labels":["\\text{Time}","\\text{Water}"],"markings":"none","range":[[-1,10],[-40,480]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,40],"step":[1,40],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/2f/eaebda729860.json b/data/questions/09/2f/eaebda729860.json new file mode 100644 index 0000000000..d186764c0d --- /dev/null +++ b/data/questions/09/2f/eaebda729860.json @@ -0,0 +1 @@ +{"content":"crwdns3897493:0crwdne3897493:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/99ba964d9ad2c743fd19a62ae756043536593be5","width":425},"correct":{"coords":[[7,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/30/09bff9d80643.json b/data/questions/09/30/09bff9d80643.json new file mode 100644 index 0000000000..021ef60375 --- /dev/null +++ b/data/questions/09/30/09bff9d80643.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec c$ and $\\vec d$:\n\n$\\begin{align}\n\\vec c&=(5,-4)\n\\\\\\\\\n\\vec d&=(-2,3)\n\\end{align}$\n\n*Answer two questions about the addition $\\vec c+\\vec d$.*\n\nPerforming the addition using the parallelogram rule, with $\\vec c$ and $\\vec d$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the sum.**\n\n$\\vec c+\\vec d=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,-4],[3,-1],[-2,3],[0,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/47/2f8048420476.json b/data/questions/09/47/2f8048420476.json new file mode 100644 index 0000000000..167983ea78 --- /dev/null +++ b/data/questions/09/47/2f8048420476.json @@ -0,0 +1 @@ +{"content":"A battery with $20\\%$ of its full capacity is connected to a charger. Every minute that passes, an additional $5\\%$ of its capacity is charged.\n\n**Graph the relationship between the battery's capacity (in $\\%$ charged) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[0,20],[1,25]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/07c9fc45d4b434a36ec1f1d332b8e5ad34640807","width":400},"editableSettings":["graph","snap","image"],"gridStep":[0.5,5],"labels":["",""],"markings":"none","range":[[-1,10],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,5],"step":[1,10],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/55/89af08623f90.json b/data/questions/09/55/89af08623f90.json new file mode 100644 index 0000000000..cc29d1d2a8 --- /dev/null +++ b/data/questions/09/55/89af08623f90.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=5\\cdot \\left(\\dfrac12\\right)^{-x-1}-2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-2],[10,-2]],"coords":[[0,8],[-1,3]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/58/a9584fabe15e.json b/data/questions/09/58/a9584fabe15e.json new file mode 100644 index 0000000000..6e3f24caf5 --- /dev/null +++ b/data/questions/09/58/a9584fabe15e.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nAt Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | |\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,25],[-1,13]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[8,5],[16,8],[24,10]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/09/59/c72f4bd2d341.json b/data/questions/09/59/c72f4bd2d341.json new file mode 100644 index 0000000000..8b15b90be9 --- /dev/null +++ b/data/questions/09/59/c72f4bd2d341.json @@ -0,0 +1 @@ +{"content":"crwdns3462893:0$fcrwdnd3462893:0{3}crwdnd3462893:0{2}crwdne3462893:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,3],[2,9]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/5e/3161a531d852.json b/data/questions/09/5e/3161a531d852.json new file mode 100644 index 0000000000..553420135c --- /dev/null +++ b/data/questions/09/5e/3161a531d852.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=\\dfrac{1}{3}f(x)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-3,-1],[3,1]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,-3],"color":"grayH","filled":true},{"type":"point","coord":[3,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}]},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false}],"randomize":true,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"dropdown 1":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"up/down","choices":[{"content":"up","correct":false},{"content":"down","correct":true}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false},"version":{"major":0,"minor":0}},"dropdown 2":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"right/left","choices":[{"content":"right","correct":true},{"content":"left","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/64/ef9a9c383cba.json b/data/questions/09/64/ef9a9c383cba.json new file mode 100644 index 0000000000..eef7c84a89 --- /dev/null +++ b/data/questions/09/64/ef9a9c383cba.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3f324f213832bfad3bdd71766e6d8923a30e97c","width":430},"correct":{"coords":[[0,-1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/6e/c4bb47760005.json b/data/questions/09/6e/c4bb47760005.json new file mode 100644 index 0000000000..e8cc73feb8 --- /dev/null +++ b/data/questions/09/6e/c4bb47760005.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nThe cost to park in the downtown parking lot depends on the number of hours you park your car for. \n\n| | |\n- | :-: | :-:| :-:| :-:\nHours parked | $1$ | $5$| $12$ \nCost (in dollars) | $4$ | $10$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the cost of parking proportional to the number of hours parked?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,4],[5,10],[12,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Hours}$","$\\text{Cost}$"],"markings":"graph","range":[[-2,22],[-2,22]],"showProtractor":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/09/73/4fd8aeb461ae.json b/data/questions/09/73/4fd8aeb461ae.json new file mode 100644 index 0000000000..9c831e61d3 --- /dev/null +++ b/data/questions/09/73/4fd8aeb461ae.json @@ -0,0 +1 @@ +{"content":"crwdns3122081:0{A}crwdnd3122081:0{B}crwdnd3122081:0{C}crwdnd3122081:0{D}crwdne3122081:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":true},{"content":"crwdns2671924:0crwdne2671924:0","correct":false},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":false},{"content":"crwdns2671926:0crwdne2671926:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/6a5f70a361f0f1baeef61eee6726eef944176663.png","width":400},"correct":{"coords":[[[-7,7],[0,-2]],[[-3,-7],[7,-3]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/74/5734dfba7387.json b/data/questions/09/74/5734dfba7387.json new file mode 100644 index 0000000000..ac81358c8e --- /dev/null +++ b/data/questions/09/74/5734dfba7387.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac34$ that contains the point $(2,-3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[2,-3],[6,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/77/a06bebd80152.json b/data/questions/09/77/a06bebd80152.json new file mode 100644 index 0000000000..209c0225ea --- /dev/null +++ b/data/questions/09/77/a06bebd80152.json @@ -0,0 +1 @@ +{"content":"crwdns3396750:0{A}crwdnd3396750:0{B}crwdne3396750:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":true},{"content":"crwdns2731610:0crwdne2731610:0","correct":false},{"content":"crwdns2731612:0crwdne2731612:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/4e96f5e6002a36a6c76e0712bd9f3d5e69ed0aef.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[4.471657665635323,-4.471657665635327],[-2,2],[3.2941176470588243,7.294117647058823]],"snapDegrees":2.5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":2.5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/77/d51f71894acf.json b/data/questions/09/77/d51f71894acf.json new file mode 100644 index 0000000000..e7bd8b3076 --- /dev/null +++ b/data/questions/09/77/d51f71894acf.json @@ -0,0 +1 @@ +{"content":"A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of $6$ centimeters per minute. After $20$ minutes, the water level is $220$ centimeters.\n\n**Graph the relationship between the pool's water level (in centimeters) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[15,190],[20,220]],"asymptote":null},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-5,30],[-20,250]],"labels":["",""],"step":[5,20],"gridStep":[2.5,10],"snapStep":[2.5,10],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/329b8ad3b68275b69539cd42272e1121a062967c","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/7a/2ad64c9b1bc7.json b/data/questions/09/7a/2ad64c9b1bc7.json new file mode 100644 index 0000000000..0384c445f4 --- /dev/null +++ b/data/questions/09/7a/2ad64c9b1bc7.json @@ -0,0 +1 @@ +{"content":"**Select the quadrant or axis where each ordered pair is located on a coordinate plane.**\n\n[[☃ categorizer 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/d69ff5e819d98cfa55bac07de6e7d5cbeda08c14.png":{"height":224,"width":478}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["□□","□□□","□□□□","□□□","$x$-axis","$y$-axis"],"items":["$(-2\\dfrac12,-7)$","$(0,6)$","$(-5,0)$"],"randomizeItems":false,"values":[2,5,4]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-12e77f","options":{"color":"black","coordX":"0","coordY":"0"},"type":"point"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":true},{"content":"Quadrant IV","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/82/c448e5b7a377.json b/data/questions/09/82/c448e5b7a377.json new file mode 100644 index 0000000000..23bdc708a7 --- /dev/null +++ b/data/questions/09/82/c448e5b7a377.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/638cefe8d43eebe8202c18841362fcc9f9a39889","width":430},"correct":{"coords":[[3,1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/84/302b78d263aa.json b/data/questions/09/84/302b78d263aa.json new file mode 100644 index 0000000000..1901009710 --- /dev/null +++ b/data/questions/09/84/302b78d263aa.json @@ -0,0 +1 @@ +{"content":"crwdns3897510:0crwdne3897510:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/21f266aa6e8d5ff2b070d1f6cd560a2a7fb945e4","width":425},"correct":{"coords":[[1,-5],[5,-2],[-5,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/90/5dcd7a2fa6b9.json b/data/questions/09/90/5dcd7a2fa6b9.json new file mode 100644 index 0000000000..abdddb5f58 --- /dev/null +++ b/data/questions/09/90/5dcd7a2fa6b9.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=5x^2+10x+2$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-1,-3],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/b0/4888620acef7.json b/data/questions/09/b0/4888620acef7.json new file mode 100644 index 0000000000..cdd9045528 --- /dev/null +++ b/data/questions/09/b0/4888620acef7.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\sin(0.25x+0.75\\pi)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-6,-5],[-2,-4.5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/d1/e363aff79949.json b/data/questions/09/d1/e363aff79949.json new file mode 100644 index 0000000000..75a54aa4ee --- /dev/null +++ b/data/questions/09/d1/e363aff79949.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(-5, 9), (0, 9), (8, 0), (8, -7), (0, -7), (-5, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-5,9],[0,9],[8,0],[8,-7],[0,-7],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/09/e0/1f5f0045382e.json b/data/questions/09/e0/1f5f0045382e.json new file mode 100644 index 0000000000..ba27209405 --- /dev/null +++ b/data/questions/09/e0/1f5f0045382e.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{8}(x +5)(x -3)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,6],[-5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/e2/cfe21b0438a9.json b/data/questions/09/e2/cfe21b0438a9.json new file mode 100644 index 0000000000..f4d7c809e9 --- /dev/null +++ b/data/questions/09/e2/cfe21b0438a9.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\cos\\left(\\dfrac{\\pi}{16}x\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[8,-4],[0,-9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/09/ee/eaf1801a7722.json b/data/questions/09/ee/eaf1801a7722.json new file mode 100644 index 0000000000..5b8c3b71f1 --- /dev/null +++ b/data/questions/09/ee/eaf1801a7722.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit to the right and $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8acadbc1755d5b492dd2008832bd8380ab0196f8","width":425},"correct":{"coords":[[7,2],[7,6],[-3,7],[-1,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0a/0a/fc0880f05ebb.json b/data/questions/0a/0a/fc0880f05ebb.json new file mode 100644 index 0000000000..7934b992e6 --- /dev/null +++ b/data/questions/0a/0a/fc0880f05ebb.json @@ -0,0 +1 @@ +{"content":"crwdns3209064:0$ROSE$crwdnd3209064:0$R_crwdne3209064:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/6e6557e0ce93a46f0e0bc10f8b2d16e609195fdd.png","width":425},"correct":{"coords":[[6,-5],[7,-2],[3,-2],[4,-5]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/0a/10/0cd00ae08efb.json b/data/questions/0a/10/0cd00ae08efb.json new file mode 100644 index 0000000000..a528dbcb70 --- /dev/null +++ b/data/questions/0a/10/0cd00ae08efb.json @@ -0,0 +1 @@ +{"content":"The $5$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $5$ points, plot the $5$ corresponding points that must be on the graph of $y=\\log_b{x}$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/d859f953d57753ceff901ea5bed2674a3b3d9ef6.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,17],[-4,17]],"gridStep":[2,2],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,0],[2,1],[4,2],[8,3],[16,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/0a/1c/495d0597e494.json b/data/questions/0a/1c/495d0597e494.json new file mode 100644 index 0000000000..6f1c5fdeee --- /dev/null +++ b/data/questions/0a/1c/495d0597e494.json @@ -0,0 +1 @@ +{"content":"Korey is organizing a music concert. She plans to invest $\\$2000$ to rent the venue and to pay the musicians and then sell the tickets for $\\$20$ each. The graph below shows the profit $y$ she will make from the concert as a function of the number of tickets sold $x$.\n\n\n![](https://ka-perseus-graphie.s3.amazonaws.com/d434a55766cabc3cedec046daa002d00d871bae4.png)\n\nIf instead Korey decides to sell the tickets for $\\$40$ each, **what will be the new graph of Korey's profit?**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/d434a55766cabc3cedec046daa002d00d871bae4.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-2000],[50,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-20,150],[-2200,1800]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[10,200]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0a/26/99ebda448a81.json b/data/questions/0a/26/99ebda448a81.json new file mode 100644 index 0000000000..36c65ab1b3 --- /dev/null +++ b/data/questions/0a/26/99ebda448a81.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{D}$, and the other line goes through points $\\text{B}$ and $\\text{C}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":true},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":false},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":false},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/2dcad382bef4cdbd86d157552f4625a8b5668b34.png","width":400},"box":[340,340],"correct":{"coords":[[[-7,7],[7,-7]],[[-7,-7],[7,7]]],"type":"linear-system"},"editableSettings":["graph","snap","image","measure"],"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0a/36/3287d72e7de7.json b/data/questions/0a/36/3287d72e7de7.json new file mode 100644 index 0000000000..6ded041ca0 --- /dev/null +++ b/data/questions/0a/36/3287d72e7de7.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$4$|$8$|$16$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3140d713657fd4a6d5c3a8331da11fec17952717","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/0a/46/e051a8cc008f.json b/data/questions/0a/46/e051a8cc008f.json new file mode 100644 index 0000000000..1bfc72ea5a --- /dev/null +++ b/data/questions/0a/46/e051a8cc008f.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nTimothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n| | |\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,5],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Km}$","$\\text{Minutes}$"],"showProtractor":false,"showTooltips":false,"range":[[-4,22],[-5,55]],"gridStep":[2,5],"snapStep":[1,2.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[5,10],[11,15],[18,20]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/0a/4d/6571e5307c9b.json b/data/questions/0a/4d/6571e5307c9b.json new file mode 100644 index 0000000000..c3d609c2a6 --- /dev/null +++ b/data/questions/0a/4d/6571e5307c9b.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{x=3y- \\dfrac{25}{2}}$\n\n$\\qquad\\pink{2x-23=-2y}$\n\n**Create a new equation by substituting $x$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=6"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d8289803e9a43b4b3bd7ec56f32dcb3621bb43d5.png","width":425},"correct":{"coords":[[9,6],[-7.5,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0a/4f/e3646ff4c437.json b/data/questions/0a/4f/e3646ff4c437.json new file mode 100644 index 0000000000..7cc0f991b4 --- /dev/null +++ b/data/questions/0a/4f/e3646ff4c437.json @@ -0,0 +1 @@ +{"content":"crwdns6509157:0crwdne6509157:0","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4026301098c40e38035250f0fe4e79b3e0c4aedd","width":400},"correct":{"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-5,6],[-5,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0a/50/708318cdd3ca.json b/data/questions/0a/50/708318cdd3ca.json new file mode 100644 index 0000000000..308d976732 --- /dev/null +++ b/data/questions/0a/50/708318cdd3ca.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $4$\n\nPattern $y$: Starting number: $4$, Rule: add $2$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[12,6],[16,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0a/5e/6a402154a127.json b/data/questions/0a/5e/6a402154a127.json new file mode 100644 index 0000000000..f39ac7fbe8 --- /dev/null +++ b/data/questions/0a/5e/6a402154a127.json @@ -0,0 +1 @@ +{"content":"Here's a graph of an exponential function $f$.\n\n[[☃ image 1]]\n\n**What's the range of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A segment of an exponential function is graphed. The x and f of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (7, 1). There is a filled circle at the point (negative 9, 6). There is a curve between these two points connecting them.","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe3f074d5abc368f6dd7e50620e74715f356144d","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$1 < f(x) \\leq 6$","correct":true},{"content":"$1 \\leq f(x) < 6$","correct":false},{"content":"$-9 \\leq f(x) < 7$","correct":false,"isNoneOfTheAbove":false},{"content":"$-9 < f(x) \\leq 7$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/0a/5e/ddd184ed6e85.json b/data/questions/0a/5e/ddd184ed6e85.json new file mode 100644 index 0000000000..253c2b3738 --- /dev/null +++ b/data/questions/0a/5e/ddd184ed6e85.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{2}(x-3)(x-7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,2],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0a/6c/a50eb6a744a0.json b/data/questions/0a/6c/a50eb6a744a0.json new file mode 100644 index 0000000000..975a06415f --- /dev/null +++ b/data/questions/0a/6c/a50eb6a744a0.json @@ -0,0 +1 @@ +{"content":"Here's a graph of a quadratic function $h$.\n\n[[☃ image 1]]\n\n**What's the domain of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9807cacbb6db422a4473993d251dbb6f11dcd6c0","width":265,"height":265},"labels":[],"alt":"A segment of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 7, negative 5). There is a filled circle at the point (negative 1, 1). There is a curve between these two points, connecting them. From left to right, it travels up reaching a maximum h of x value at (negative 3, 3), then travels down to the filled circle.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"$-7","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["□□□□□□□□□□","□□□□□□□□□□□□□□"],"left":["$7 - 9$","$\\left\\lvert 7 - 9\\right\\rvert$","$7 + (-7)$"],"orderMatters":false,"padding":true,"right":["The number $9$ to the left of $7$ on the horizontal number line","The distance between $7$ and $9$ on the number line","□□□□ □□ □□□□"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$|a - b| \\cdot |c - d|$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$|a - e|$","$|b - f|$","$|a - c|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0f/6b/9b19667a1b7d.json b/data/questions/0f/6b/9b19667a1b7d.json new file mode 100644 index 0000000000..72aacdfcb2 --- /dev/null +++ b/data/questions/0f/6b/9b19667a1b7d.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{5}{9}(x +9)(x +3)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,-5],[-9,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0f/72/89482dfc48a8.json b/data/questions/0f/72/89482dfc48a8.json new file mode 100644 index 0000000000..2c71c7d677 --- /dev/null +++ b/data/questions/0f/72/89482dfc48a8.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=x^2+2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-1],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0f/76/7960c0c53aa8.json b/data/questions/0f/76/7960c0c53aa8.json new file mode 100644 index 0000000000..c6d9cdf980 --- /dev/null +++ b/data/questions/0f/76/7960c0c53aa8.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3^{4-x}+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,1],[10,1]],"coords":[[4,2],[3,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0f/8e/d931bb5e54cc.json b/data/questions/0f/8e/d931bb5e54cc.json new file mode 100644 index 0000000000..d5d00eab89 --- /dev/null +++ b/data/questions/0f/8e/d931bb5e54cc.json @@ -0,0 +1 @@ +{"content":"crwdns3897491:0crwdne3897491:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e79a3248835f28f6ff4f918672041bb8f247e52c","width":425},"correct":{"coords":[[-2,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0f/9b/33b307ed99bd.json b/data/questions/0f/9b/33b307ed99bd.json new file mode 100644 index 0000000000..bd636b7a6c --- /dev/null +++ b/data/questions/0f/9b/33b307ed99bd.json @@ -0,0 +1 @@ +{"content":"crwdns2975593:0crwdne2975593:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5.5,5.5],[6.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/0f/aa/b756dbd846e5.json b/data/questions/0f/aa/b756dbd846e5.json new file mode 100644 index 0000000000..a54082eaa5 --- /dev/null +++ b/data/questions/0f/aa/b756dbd846e5.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n2.25x+19.5 & , & -10\\leq x<-6 \\\\\\\\\n-0.5x+3 & , & -6\\leq x<2\\\\\\\\\n-{\\dfrac{10}{3}}x+{\\dfrac{26}{3}} & , & 2\\leq x<5\\\\\\\\\n2.4x-20 & , & 5\\leq x\\leq 10\\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[10,4],[5,-8]],[[2,2],[5,-8]],[[-6,6],[2,2]],[[-10,-3],[-6,6]]],"numSegments":4,"type":"segment"},"graph":{"numSegments":4,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0f/b9/7d0dfefe4c3f.json b/data/questions/0f/b9/7d0dfefe4c3f.json new file mode 100644 index 0000000000..1ba6f71b5e --- /dev/null +++ b/data/questions/0f/b9/7d0dfefe4c3f.json @@ -0,0 +1 @@ +{"content":"At a school fair, you earn $10$ points for each balloon you pop by throwing a dart. In the graph below, $x$ represents the number of balloons that you pop, and $y$ represents the total number of points that you score.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$y=10x$\n\n**Plot points on the graph that show the number of points you will score by popping $3$ balloons and $5$ balloons.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,30],[5,50]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-5,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/0f/b9/a51f1dabf1dc.json b/data/questions/0f/b9/a51f1dabf1dc.json new file mode 100644 index 0000000000..fcdcb58f4e --- /dev/null +++ b/data/questions/0f/b9/a51f1dabf1dc.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=2\\ln(x+4)$ and let $g(x)=\\dfrac23x+1$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\,2\\ln(x+4)=\\dfrac23x+1$, where $x_1$g(x)=-12\\cdot4^{\\large x}$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[-1,-3],[0,-12]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,3],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-5,5],[-18,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,1.5],"step":[1,3],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/11/ea/7946b829661f.json b/data/questions/11/ea/7946b829661f.json new file mode 100644 index 0000000000..40f1a63bb8 --- /dev/null +++ b/data/questions/11/ea/7946b829661f.json @@ -0,0 +1 @@ +{"content":"crwdns2988122:0crwdne2988122:0","images":{"https://ka-perseus-images.s3.amazonaws.com/02564832cdaa56aa507437df41dd13e1fefbe595.png":{"height":160,"width":398},"https://ka-perseus-images.s3.amazonaws.com/37521922ea42bbbf67622075e1ea51e095f37479.png":{"height":291,"width":401}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[6.662476544422285,-1.0599696426100849],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/11/eb/7038f7759a4d.json b/data/questions/11/eb/7038f7759a4d.json new file mode 100644 index 0000000000..c97c1bbc92 --- /dev/null +++ b/data/questions/11/eb/7038f7759a4d.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x)+6$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[[-3,3],[3,9]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"},{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/11/ee/1dc9a2401068.json b/data/questions/11/ee/1dc9a2401068.json new file mode 100644 index 0000000000..dff06bb8a8 --- /dev/null +++ b/data/questions/11/ee/1dc9a2401068.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/11/f7/47cb3eb47258.json b/data/questions/11/f7/47cb3eb47258.json new file mode 100644 index 0000000000..88c4cc0b1a --- /dev/null +++ b/data/questions/11/f7/47cb3eb47258.json @@ -0,0 +1 @@ +{"content":"crwdns3897510:0crwdne3897510:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec26f87a3cbb86dd3fbdfe3df674f3aed81593c4","width":425},"correct":{"coords":[[7,1],[-5,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/11/fe/2b388a45c3df.json b/data/questions/11/fe/2b388a45c3df.json new file mode 100644 index 0000000000..55ea671609 --- /dev/null +++ b/data/questions/11/fe/2b388a45c3df.json @@ -0,0 +1 @@ +{"content":"Mia kicked a football. The function $f$ models the height of the ball above the ground (in meters) as a function of time (in seconds) after Mia kicked it.\n\n**Plot the point on the graph of $f$ that corresponds to when the ball hit the ground.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/824e3ae76682db1d491aafe9fc34a65caf4c2b8a","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,5],[-2,23]],"gridStep":[0.5,2],"snapStep":[0.25,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[4,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/07/77a4832dc417.json b/data/questions/12/07/77a4832dc417.json new file mode 100644 index 0000000000..188f47dbb1 --- /dev/null +++ b/data/questions/12/07/77a4832dc417.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=(x+3)(x+7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-4],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/0b/e608c5a3bd95.json b/data/questions/12/0b/e608c5a3bd95.json new file mode 100644 index 0000000000..66450e210c --- /dev/null +++ b/data/questions/12/0b/e608c5a3bd95.json @@ -0,0 +1 @@ +{"content":"crwdns4072040:0crwdne4072040:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[8.97473270351352,2.6017045644409715],[6.229055532732191,10.57573007041029],[1.5160052207748924,2.7318971369340552]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/17/9ea1440d5e52.json b/data/questions/12/17/9ea1440d5e52.json new file mode 100644 index 0000000000..52b8b072d1 --- /dev/null +++ b/data/questions/12/17/9ea1440d5e52.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(17,14)$. The rectangle is $9$ units wide and $6$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f2ec68e51bfc80d25349ed6748c3e3cccfc0936b","width":400},"correct":{"coords":[[8,14],[17,8],[8,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-2,19],[-2,19]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/1f/5d5337748911.json b/data/questions/12/1f/5d5337748911.json new file mode 100644 index 0000000000..28d2362eac --- /dev/null +++ b/data/questions/12/1f/5d5337748911.json @@ -0,0 +1 @@ +{"content":"crwdns3209057:0$ABCD$crwdnd3209057:0$ycrwdne3209057:0","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8096bbf6a6a1e4ac9640a056af2f16754bdd17c8.png","width":425},"correct":{"coords":[[6,-2],[2,-7],[4,-9],[9,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/12/26/572ea0a3e606.json b/data/questions/12/26/572ea0a3e606.json new file mode 100644 index 0000000000..db2d7768f6 --- /dev/null +++ b/data/questions/12/26/572ea0a3e606.json @@ -0,0 +1 @@ +{"content":"**Graph $y=6\\cos\\left(\\dfrac{\\pi}{4}x\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[2,-2],[0,4]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/34/36ec422e8dd4.json b/data/questions/12/34/36ec422e8dd4.json new file mode 100644 index 0000000000..627b1b249d --- /dev/null +++ b/data/questions/12/34/36ec422e8dd4.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map line segment $\\overline{EF}$ onto the other line segment below.**\n\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c8f046cec6f323cc499126bb0d52a1d4864e5cae","width":425},"correct":{"coords":[[-5,5],[2,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/35/46b5bab1486e.json b/data/questions/12/35/46b5bab1486e.json new file mode 100644 index 0000000000..ac95177eb0 --- /dev/null +++ b/data/questions/12/35/46b5bab1486e.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& -15x-5y=45\n\\\\\\\\\n& -2x+6y=6\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-3,0],[0,-9]],[[-3,0],[0,1]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-3}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/47/5394d87f03e4.json b/data/questions/12/47/5394d87f03e4.json new file mode 100644 index 0000000000..1fda34304b --- /dev/null +++ b/data/questions/12/47/5394d87f03e4.json @@ -0,0 +1 @@ +{"content":"The bowling center wants to build its new location halfway between the towns of Bristol and Madison. Bristol is located at $(1,8)$ on the map below. Madison is located at $(9,8)$. \n\n**Plot Bristol, Madison, and the new bowling center on the map.**\n\n[[☃ interactive-graph 1]] \n\n **At what coordinates should the bowling center build its new location? ** \n\n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,8],[9,8],[1,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/59/ed629528576c.json b/data/questions/12/59/ed629528576c.json new file mode 100644 index 0000000000..bb497fca3f --- /dev/null +++ b/data/questions/12/59/ed629528576c.json @@ -0,0 +1 @@ +{"content":"Match the segment to the dotted segment in the background.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"point","coord":[-9,9],"color":"green","filled":true},{"type":"line","kind":"segment","points":[{"type":"point","coord":[3,8],"color":"blue","filled":true},{"type":"point","coord":[8,8],"color":"blue","filled":true}],"color":"blue","lineStyle":"solid","showPoint1":false,"showPoint2":false},{"type":"ellipse","center":[0,2],"radius":[1,1],"angle":0,"color":"purple","fillStyle":"none","strokeStyle":"solid"},{"type":"vector","points":[[-2,-2],[-4,-4]],"color":"pink"}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[3,8],[8,8]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/61/daccd5ad1992.json b/data/questions/12/61/daccd5ad1992.json new file mode 100644 index 0000000000..798a10070d --- /dev/null +++ b/data/questions/12/61/daccd5ad1992.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -10x -10y +25=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/74/c51db81d45fe.json b/data/questions/12/74/c51db81d45fe.json new file mode 100644 index 0000000000..55ffb8e1ff --- /dev/null +++ b/data/questions/12/74/c51db81d45fe.json @@ -0,0 +1 @@ +{"content":"Aubree collected data about exams in each of her classes from the previous year. \n \n**Plot the data in a scatter plot.** \n\n | | | | | | |\n:-- | :--: | :--: | :--: | :--: | :--: | :--:\n**Class** | English | Math | History | Computer science | Arts | Biology\n**Period** | $1$ | $6$ | $2$ | $4$ | $3$ | $5$\n**Average score** | $95$ | $85$ | $70$ | $65$ | $90$ | $70$\n\n\n\n[[☃ interactive-graph 2]] ","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,95],[2,70],[3,90],[4,65],[5,70],[6,85]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,10],"labels":["$\\text{Period}$","$\\text{Avg score}$"],"markings":"graph","range":[[-0.7,8],[-10,105]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/76/7c08ed3ca46f.json b/data/questions/12/76/7c08ed3ca46f.json new file mode 100644 index 0000000000..df3ccddf24 --- /dev/null +++ b/data/questions/12/76/7c08ed3ca46f.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $6$ units right.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5ab942fa4dee1beb69b6574ba027c95f57bee62f","width":425},"correct":{"coords":[[6,-2],[4,3],[1,1],[0,-3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/78/b0dc0138772d.json b/data/questions/12/78/b0dc0138772d.json new file mode 100644 index 0000000000..f4ce1eb105 --- /dev/null +++ b/data/questions/12/78/b0dc0138772d.json @@ -0,0 +1 @@ +{"content":"crwdns6419945:0$pcrwdnd6419945:0$x$crwdne6419945:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[3,0],[-2,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/7d/a59c06bc5df2.json b/data/questions/12/7d/a59c06bc5df2.json new file mode 100644 index 0000000000..1dfe39e4e3 --- /dev/null +++ b/data/questions/12/7d/a59c06bc5df2.json @@ -0,0 +1 @@ +{"content":"Harmon works for the city of Tillamook as a concrete resurfacer. He has $18{,}000$ $\\text{kg}$ of concrete for resurfacing streets and parking lots. Each street he resurfaces uses $750$ $\\text{kg}$ of concrete, and each parking lot uses $450$ $\\text{kg}$ of concrete.\n\n**Write an *inequality* that represents the number of streets $(S)$ and parking lots $(P)$ Harmon can resurface with the amount of concrete available.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $P$ on the horizontal axis and $S$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Harmon resurfaces $12$ streets $(S)$, which of the following numbers of parking lots $(P)$ can he resurface without exceeding the amount of concrete available?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"750S+450P<=18000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"750s+450p\\le18000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[5,6],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["P","S"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,50],[-5,40]],"gridStep":[5,3],"snapStep":[2.5,1.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,24],[40,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$15$","correct":true},{"content":"$17$","correct":true},{"content":"$20$","correct":true},{"content":"$22$","correct":false},{"content":"$24$","correct":false}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/92/3ae7b9944cd7.json b/data/questions/12/92/3ae7b9944cd7.json new file mode 100644 index 0000000000..d8776ca05a --- /dev/null +++ b/data/questions/12/92/3ae7b9944cd7.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -10x -10y +25=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/92/a9733a8d6789.json b/data/questions/12/92/a9733a8d6789.json new file mode 100644 index 0000000000..a7fc709b01 --- /dev/null +++ b/data/questions/12/92/a9733a8d6789.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(4,3)$ and has a slope of $\\dfrac12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[4,3],[6,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/92/e4f7abfd8021.json b/data/questions/12/92/e4f7abfd8021.json new file mode 100644 index 0000000000..a40821e7c8 --- /dev/null +++ b/data/questions/12/92/e4f7abfd8021.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(7,2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7,2]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/95/5d401d3601a2.json b/data/questions/12/95/5d401d3601a2.json new file mode 100644 index 0000000000..9215bd43a3 --- /dev/null +++ b/data/questions/12/95/5d401d3601a2.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/41ee82653175d0a7cd8512587919d90184f83e69","width":425},"correct":{"coords":[[-4,-6],[-4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/b3/730b6d9afdb8.json b/data/questions/12/b3/730b6d9afdb8.json new file mode 100644 index 0000000000..f74e4e19af --- /dev/null +++ b/data/questions/12/b3/730b6d9afdb8.json @@ -0,0 +1 @@ +{"content":"बिंदुओं के किसी भी युग्म को एक रेखा के द्वारा जोड़ा जा सकता है। \n\n**काले बिंदुओं के युग्मों को इस प्रकार जोड़िए कि इससे बनने वाली रेखा डैश वाली रेखा के लंबवत हो।**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f72f9bdc4e3cca3cf8b3cd3d6f699602b409c517","width":400},"correct":{"coords":[[-6,7],[-6,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/b5/b7f435cf64a3.json b/data/questions/12/b5/b7f435cf64a3.json new file mode 100644 index 0000000000..11055f4ca8 --- /dev/null +++ b/data/questions/12/b5/b7f435cf64a3.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{3}{2}x+2$ \n \n\n\n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\nDrag the points on the graph to the specified coordinates.\n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n[[☃ radio 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,5],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/b9/6f04552ad599.json b/data/questions/12/b9/6f04552ad599.json new file mode 100644 index 0000000000..1decce6edc --- /dev/null +++ b/data/questions/12/b9/6f04552ad599.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0b851cdf5d2c7e79e0b30ae9fc4c573ca488502a","width":425},"correct":{"coords":[[3,6],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/c7/d87fda973211.json b/data/questions/12/c7/d87fda973211.json new file mode 100644 index 0000000000..d1267a7347 --- /dev/null +++ b/data/questions/12/c7/d87fda973211.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x+8|-5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-8,-5],[0,3]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/d0/151ee465524e.json b/data/questions/12/d0/151ee465524e.json new file mode 100644 index 0000000000..c757987608 --- /dev/null +++ b/data/questions/12/d0/151ee465524e.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3^{4-x}+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,1],[10,1]],"coords":[[4,2],[3,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/da/4cff3d221c62.json b/data/questions/12/da/4cff3d221c62.json new file mode 100644 index 0000000000..664d7851d1 --- /dev/null +++ b/data/questions/12/da/4cff3d221c62.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c73d9429fe0629be339f4194f34884e234eb00f4","width":425},"correct":{"coords":[[1,5],[5,2],[-5,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/eb/d525124b2444.json b/data/questions/12/eb/d525124b2444.json new file mode 100644 index 0000000000..8396e97242 --- /dev/null +++ b/data/questions/12/eb/d525124b2444.json @@ -0,0 +1 @@ +{"content":"Keone drew $2$ of the same rectangle with an area of $8$ square units. They turned one sideways.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $8$ units long.*\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9f15527ea866960c2dc6ebdd3caff228c49c0a18","width":400,"height":400},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,5],[-5,5]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-2],[1,0],[-3,0],[-3,-2]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/f1/449b5813e17a.json b/data/questions/12/f1/449b5813e17a.json new file mode 100644 index 0000000000..4ea6381494 --- /dev/null +++ b/data/questions/12/f1/449b5813e17a.json @@ -0,0 +1 @@ +{"content":"**Construct a $120^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/3612148aef6e164000279caffcc323d506c6c8a1.png":{"height":317,"width":395},"https://ka-perseus-images.s3.amazonaws.com/e5b403fb5e57b69cb05371dce708156c60a2a13f.png":{"height":162,"width":292}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[5.101601255800863,-0.1637674249957186],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/f2/8634f2e3b922.json b/data/questions/12/f2/8634f2e3b922.json new file mode 100644 index 0000000000..e3585b7325 --- /dev/null +++ b/data/questions/12/f2/8634f2e3b922.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-4,1)$, and which has the point $(0,4)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-4,1],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/f6/909b764b17a8.json b/data/questions/12/f6/909b764b17a8.json new file mode 100644 index 0000000000..a3e3dd48b5 --- /dev/null +++ b/data/questions/12/f6/909b764b17a8.json @@ -0,0 +1 @@ +{"content":"For every $15$ campers at a summer camp there is $1$ counselor.\n\n**Complete the table for the given ratio.** \n \nCampers, $x$ | Counselors, $y$ \n:-: | :-: \n$15$ | $1$\n$30$| [[☃ numeric-input 3]]\n$45$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[15,1],[30,2],[45,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,50],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,0.25],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/12/fb/aa7cf7d2c7c4.json b/data/questions/12/fb/aa7cf7d2c7c4.json new file mode 100644 index 0000000000..307b8d05d8 --- /dev/null +++ b/data/questions/12/fb/aa7cf7d2c7c4.json @@ -0,0 +1 @@ +{"content":"You are given the following starting numbers and rules for two sequences of numbers:\n\nSequence $x$: Starting number: $8$, Rule: add $2$\n\nSequence $y$: Starting number: $4$, Rule: add $1$\n\n**Fill in the table with the first $3$ terms of $x$ and $y$. Then plot the ordered pairs $(x,y)$ on the graph below by dragging the dots to the correct locations.** \n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nThe terms in sequence $y$ are [[☃ input-number 1]] times the terms in sequence $x$.","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":"0.5"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["8","4"],["10","5"],["12","6"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/0c/55f880e9c416.json b/data/questions/13/0c/55f880e9c416.json new file mode 100644 index 0000000000..b6dafe1e23 --- /dev/null +++ b/data/questions/13/0c/55f880e9c416.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $2$. Then add $5$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[1,7],[2,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/0d/cf6835293b07.json b/data/questions/13/0d/cf6835293b07.json new file mode 100644 index 0000000000..43b98dce8f --- /dev/null +++ b/data/questions/13/0d/cf6835293b07.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/90c845db102f972576f23b65db44ebad9617b96e","width":430},"correct":{"coords":[[-6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/11/c48b1353825c.json b/data/questions/13/11/c48b1353825c.json new file mode 100644 index 0000000000..f12f5638d0 --- /dev/null +++ b/data/questions/13/11/c48b1353825c.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about the origin $(0,0)$ with a scale factor of $4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1ffc29074a7208c1cc4c0f6de72ac9b875be6238","width":425},"correct":{"coords":[[4,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/17/69c64563cd29.json b/data/questions/13/17/69c64563cd29.json new file mode 100644 index 0000000000..7042bca620 --- /dev/null +++ b/data/questions/13/17/69c64563cd29.json @@ -0,0 +1 @@ +{"content":"**Construct a $65^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/010bd9a1372067e0ba8f221d96970a5e7d20601a.png":{"height":183,"width":155},"https://ka-perseus-images.s3.amazonaws.com/70b8d3bdaa05df7352113009f888df338afd38fe.png":{"height":381,"width":365}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-3.523450338056899,-1.443936365965234],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/1d/5abd720f3396.json b/data/questions/13/1d/5abd720f3396.json new file mode 100644 index 0000000000..f7bf5e411a --- /dev/null +++ b/data/questions/13/1d/5abd720f3396.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e9c966d1afce75629c2c10578985f6ab10074b95","width":425},"correct":{"coords":[[1,-4],[-2,1],[-5,4],[-4,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/25/c5d520149003.json b/data/questions/13/25/c5d520149003.json new file mode 100644 index 0000000000..6bbdcdeb47 --- /dev/null +++ b/data/questions/13/25/c5d520149003.json @@ -0,0 +1 @@ +{"content":"[Q1] Graph the equation $y=x+1$.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,1],[2,3]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/2e/58329d5f40ce.json b/data/questions/13/2e/58329d5f40ce.json new file mode 100644 index 0000000000..7786c5d129 --- /dev/null +++ b/data/questions/13/2e/58329d5f40ce.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -9+4i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-9,4]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/34/d22bfbc6b7c5.json b/data/questions/13/34/d22bfbc6b7c5.json new file mode 100644 index 0000000000..4c9b2bd850 --- /dev/null +++ b/data/questions/13/34/d22bfbc6b7c5.json @@ -0,0 +1 @@ +{"content":"**Construct a $100^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/93a18d5bd6725c68ae6719b74dc144d4277dfab8.png":{"height":182,"width":193}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1.4747929227018772,-0.6360337097799817],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/35/481b9599b6be.json b/data/questions/13/35/481b9599b6be.json new file mode 100644 index 0000000000..5807d2d25a --- /dev/null +++ b/data/questions/13/35/481b9599b6be.json @@ -0,0 +1 @@ +{"content":"**Graph $3x-4y=24$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[8,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/3a/cacdc3881ca3.json b/data/questions/13/3a/cacdc3881ca3.json new file mode 100644 index 0000000000..5d19a8dd18 --- /dev/null +++ b/data/questions/13/3a/cacdc3881ca3.json @@ -0,0 +1 @@ +{"content":"The graph of the function $h(x)=2x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=2(x+1)^2-8$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-1,-8],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b7eec7ca584b1d5d87cc7415c3a238a9d678a7bc","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/3c/532d7641d13d.json b/data/questions/13/3c/532d7641d13d.json new file mode 100644 index 0000000000..d92ddf8c6d --- /dev/null +++ b/data/questions/13/3c/532d7641d13d.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9c46fb32b187bfab270c2778e5003e7f453a72e1","width":430},"correct":{"coords":[[-5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/48/068690196477.json b/data/questions/13/48/068690196477.json new file mode 100644 index 0000000000..23d34d1e1f --- /dev/null +++ b/data/questions/13/48/068690196477.json @@ -0,0 +1 @@ +{"content":"The table uses the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $4$\n\nPattern $y$: Starting number: $4$, Rule: add $2$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n$12$ | $6$ \n [[☃ numeric-input 9]] | $8$\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[12,6],[16,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[12,6],[16,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 9":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/53/4c06d57615e3.json b/data/questions/13/53/4c06d57615e3.json new file mode 100644 index 0000000000..a542f7b649 --- /dev/null +++ b/data/questions/13/53/4c06d57615e3.json @@ -0,0 +1 @@ +{"content":"crwdns3508047:0crwdne3508047:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,3.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3137505:0crwdne3137505:0","correct":true},{"content":"crwdns3137560:0crwdne3137560:0","correct":false},{"content":"crwdns3137566:0crwdne3137566:0","correct":false},{"content":"crwdns3137506:0crwdne3137506:0","correct":false},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":false},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/13/6a/8b9f77da550e.json b/data/questions/13/6a/8b9f77da550e.json new file mode 100644 index 0000000000..a823d75ff1 --- /dev/null +++ b/data/questions/13/6a/8b9f77da550e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{1}{3}x^2+2x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-1],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/8f/78e13b527c94.json b/data/questions/13/8f/78e13b527c94.json new file mode 100644 index 0000000000..71e73d13e4 --- /dev/null +++ b/data/questions/13/8f/78e13b527c94.json @@ -0,0 +1 @@ +{"content":"**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n$R=\\left[\\begin{array} {ccc}\n3.5 & 0 \\\\\n0 & 3.5 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8db7b435093a7fc27e399254da983947fa2cf84f","width":425},"correct":{"coords":[[7,0],[0,7],[-7,-7]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/90/eb1be2e9e92a.json b/data/questions/13/90/eb1be2e9e92a.json new file mode 100644 index 0000000000..3d967502c2 --- /dev/null +++ b/data/questions/13/90/eb1be2e9e92a.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=2x^2-8x+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-5],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/9d/4b1c003c84d7.json b/data/questions/13/9d/4b1c003c84d7.json new file mode 100644 index 0000000000..45e90d1ff2 --- /dev/null +++ b/data/questions/13/9d/4b1c003c84d7.json @@ -0,0 +1 @@ +{"content":"crwdns3144291:0{LEO}crwdne3144291:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c0d23f37c50dd4d10be4b2fc3de359165075cfd0","width":425},"correct":{"coords":[[-2,-3],[1,-6],[5,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/a5/ecd58954ac50.json b/data/questions/13/a5/ecd58954ac50.json new file mode 100644 index 0000000000..150f5c4951 --- /dev/null +++ b/data/questions/13/a5/ecd58954ac50.json @@ -0,0 +1 @@ +{"content":"crwdns3382820:0crwdne3382820:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[1,1],[9,1],[1,6],[9,6]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/be/e1584ca7cc3b.json b/data/questions/13/be/e1584ca7cc3b.json new file mode 100644 index 0000000000..c5332a242c --- /dev/null +++ b/data/questions/13/be/e1584ca7cc3b.json @@ -0,0 +1 @@ +{"content":"**Graph $y=3\\sin\\left(\\dfrac{1}{3}x\\right)+4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[0,4],[3,7]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/c6/d5b03c2708b1.json b/data/questions/13/c6/d5b03c2708b1.json new file mode 100644 index 0000000000..2dcccfed2c --- /dev/null +++ b/data/questions/13/c6/d5b03c2708b1.json @@ -0,0 +1 @@ +{"content":"crwdns5315898:0{ mm}crwdnd5315898:0$1$crwdnd5315898:0{ mm}crwdne5315898:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[5,-6.5],[5,3.5],[-5,3.5],[-5,-6.5]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/c7/70a164c004aa.json b/data/questions/13/c7/70a164c004aa.json new file mode 100644 index 0000000000..aaa00141cd --- /dev/null +++ b/data/questions/13/c7/70a164c004aa.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5ad1fec66d19a50b630023c5b9041e078b832855","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,-3],[1,-1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/d3/0467753d43db.json b/data/questions/13/d3/0467753d43db.json new file mode 100644 index 0000000000..c9bffd75b0 --- /dev/null +++ b/data/questions/13/d3/0467753d43db.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x+6|-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-6,-4],[0,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/13/f3/c92da9c96910.json b/data/questions/13/f3/c92da9c96910.json new file mode 100644 index 0000000000..c015a3717b --- /dev/null +++ b/data/questions/13/f3/c92da9c96910.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{1}{3}(x+3)(x-3)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-3],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/05/9295db5b6e3d.json b/data/questions/14/05/9295db5b6e3d.json new file mode 100644 index 0000000000..8bb49a8888 --- /dev/null +++ b/data/questions/14/05/9295db5b6e3d.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{y^2}{1600}-\\dfrac{x^2}{5625}=1$**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/99113c3dd51fbedfba2afbd4ea35ef28ce14e445","width":425},"correct":{"coords":[[0,85],[0,-85]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["ẍẋ","ý"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/0f/258088f8ca5a.json b/data/questions/14/0f/258088f8ca5a.json new file mode 100644 index 0000000000..2401547595 --- /dev/null +++ b/data/questions/14/0f/258088f8ca5a.json @@ -0,0 +1 @@ +{"content":"**Graph $x=6$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[6,5],[6,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/12/ce8ef05432dd.json b/data/questions/14/12/ce8ef05432dd.json new file mode 100644 index 0000000000..8b0ff41065 --- /dev/null +++ b/data/questions/14/12/ce8ef05432dd.json @@ -0,0 +1 @@ +{"content":"crwdns3474920:0crwdne3474920:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/13/cb4a39abd514.json b/data/questions/14/13/cb4a39abd514.json new file mode 100644 index 0000000000..3aff9e9af3 --- /dev/null +++ b/data/questions/14/13/cb4a39abd514.json @@ -0,0 +1 @@ +{"content":"नीचे दी हुई आकृति, एक अधूरे चतुर्भुज की दो भुजाओं को दर्शाती है। \n \n**नीचे दिए हुए चल-रेखा खंड का प्रयोग करते हुए, बिंदु A और C को किसी एक काले बिंदु से जोड़कर एक ऐसा पूर्ण चतुर्भुज बनाएं जो कि बिंदु वाली रेखा के सममित हो।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/155c8c3d0dfd2b6e6c32eae89f0452b5cd851c09","width":400},"correct":{"coords":[[[4,-1],[5,6]],[[4,-1],[-1,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/18/f9e2ad5c34e9.json b/data/questions/14/18/f9e2ad5c34e9.json new file mode 100644 index 0000000000..f382a89704 --- /dev/null +++ b/data/questions/14/18/f9e2ad5c34e9.json @@ -0,0 +1 @@ +{"content":"**Graph $y=4\\cos\\left(\\dfrac{1}{5}x\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[5,2],[0,6]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/1a/4c3c46be0281.json b/data/questions/14/1a/4c3c46be0281.json new file mode 100644 index 0000000000..5d3a7c0c0d --- /dev/null +++ b/data/questions/14/1a/4c3c46be0281.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/486cb00ae6382056d636efdc5f29395889c78e62","width":425},"correct":{"coords":[[-6,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/27/f79ddb12292d.json b/data/questions/14/27/f79ddb12292d.json new file mode 100644 index 0000000000..f4875bc82a --- /dev/null +++ b/data/questions/14/27/f79ddb12292d.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebd31f95085860bd1b7b6eea99775b7bed802169","width":430},"correct":{"coords":[[1,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/2a/379ab2670844.json b/data/questions/14/2a/379ab2670844.json new file mode 100644 index 0000000000..184b692f96 --- /dev/null +++ b/data/questions/14/2a/379ab2670844.json @@ -0,0 +1 @@ +{"content":"Although you love to watch TV, you have made a goal to spend more time outdoors. You decide that you will spend $2$ times as many hours outdoors as you spend watching TV. \n\n**Write an equation for the number of hours you will spend outdoors, $o$, when you spend $t$ hours watching TV.** \n\n [[☃ expression 1]]\n\n\nLast week, you watched $4$ hours of TV. This week, you watched $8$ hours of TV.\n\n**Place points on the graph to show your activity for last week and this week.**\n\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"o=2t"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,8],[8,16]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["$\\text{TV hours}$","$\\text{Outdoor hours}$"],"markings":"graph","range":[[-1,11],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/5d/f13d0f8e8453.json b/data/questions/14/5d/f13d0f8e8453.json new file mode 100644 index 0000000000..91f9da2b7d --- /dev/null +++ b/data/questions/14/5d/f13d0f8e8453.json @@ -0,0 +1 @@ +{"content":"crwdns3144123:0{QR}crwdnd3144123:0{ST}crwdnd3144123:0$ycrwdne3144123:0","images":{},"widgets":{"interactive-graph 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connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/493bfd6353b9dd96b9c6260ef08a1cae7dcfe6ab","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-8,-7],[7,2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/c5/606a24e3c3b8.json b/data/questions/14/c5/606a24e3c3b8.json new file mode 100644 index 0000000000..4adc6f297b --- /dev/null +++ b/data/questions/14/c5/606a24e3c3b8.json @@ -0,0 +1 @@ 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and the upper-right coordinates are $(4,4)$. The rectangle has an area of $8$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[4,3],[4,4],[-4,4],[-4,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/d6/1bfcb7aa21f8.json b/data/questions/14/d6/1bfcb7aa21f8.json new file mode 100644 index 0000000000..4f3b3be9a9 --- /dev/null +++ b/data/questions/14/d6/1bfcb7aa21f8.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-6,0)$, and the upper-right coordinates are $(-4,0)$. The rectangle has an area of $12$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"height":425,"width":440}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-4,-6],[-4,0],[-6,0],[-6,-6]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/14/db/ed31b606301d.json b/data/questions/14/db/ed31b606301d.json new file mode 100644 index 0000000000..46bff71a04 --- /dev/null +++ b/data/questions/14/db/ed31b606301d.json @@ -0,0 +1 @@ +{"content":"The ordered pair $(a, b)$ gives the location of point $P$ on the coordinate plane. 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Jane charges $\\$5$ for each dog she walks.\n\n**Complete the table for the given ratio.** \n \nDogs, $x$ | Charge in dollars, $y$ \n:-: | :-: \n$1$ | $5$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,25],[3,15],[1,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["□","□"],"markings":"graph","range":[[-1,7],[-2,35]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d285c1870f0fbdea9bc75096c628b3992ad821e","width":430},"correct":{"coords":[[7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/39/b3d6109a85f8.json b/data/questions/15/39/b3d6109a85f8.json new file mode 100644 index 0000000000..cb18bee4bf --- /dev/null +++ b/data/questions/15/39/b3d6109a85f8.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-\\log_2(x+2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/41/ed49cc9241aa.json b/data/questions/15/41/ed49cc9241aa.json new file mode 100644 index 0000000000..8247bcc569 --- /dev/null +++ b/data/questions/15/41/ed49cc9241aa.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{7}{2}x$ \n \n \n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/059b8da98ba9ac1badc2f05d991eaf655ccf0101.png":{"height":435,"width":429}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"7"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"14"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,7],[4,14]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,15],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/49/c88e6235c9f7.json b/data/questions/15/49/c88e6235c9f7.json new file mode 100644 index 0000000000..4b704f4d95 --- /dev/null +++ b/data/questions/15/49/c88e6235c9f7.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(0, 9), (8, 0), (0, -7), (-5, 0), (-5, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,9],[8,0],[0,-7],[-5,0],[-5,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/15/4a/1bbd0e99431a.json b/data/questions/15/4a/1bbd0e99431a.json new file mode 100644 index 0000000000..6a596ebfbe --- /dev/null +++ b/data/questions/15/4a/1bbd0e99431a.json @@ -0,0 +1 @@ +{"content":"crwdns3384974:0$1$crwdnd3384974:0$15$crwdne3384974:0","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea69c8407c11e1ef28a1f20162cb275ec69ac2ea","width":425},"correct":{"coords":[[7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/5f/12f310a1ce03.json b/data/questions/15/5f/12f310a1ce03.json new file mode 100644 index 0000000000..9723102367 --- /dev/null +++ b/data/questions/15/5f/12f310a1ce03.json @@ -0,0 +1 @@ +{"content":"crwdns3362574:0$fcrwdnd3362574:0$gcrwdnd3362574:0$ycrwdnd3362574:0$ycrwdnd3362574:0$x_1$crwdnd3362574:0$x_2$crwdnd3362574:0$x_1crwdnd3362574:0$x_1$crwdnd3362574:0{0.5}crwdne3362574:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[0,3],[3,0]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a30f3aa58452dbf40f70f99c746b22ce382b1a20","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-1.47},{"maxError":0.5,"message":"crwdns3882554:0crwdne3882554:0","simplify":"required","status":"wrong","strict":false,"value":1}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/70/4a4952b71511.json b/data/questions/15/70/4a4952b71511.json new file mode 100644 index 0000000000..25b0311712 --- /dev/null +++ b/data/questions/15/70/4a4952b71511.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=8\\cdot\\left(\\dfrac{3}{4}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,8],[1,6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/a2/00a1c39ad8c2.json b/data/questions/15/a2/00a1c39ad8c2.json new file mode 100644 index 0000000000..1a48fdea7a --- /dev/null +++ b/data/questions/15/a2/00a1c39ad8c2.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2\\sin\\left(\\dfrac{\\pi}{10}x\\right)-7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[0,-7],[5,-5]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null,"width":0,"height":0},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/b3/9068f269df9c.json b/data/questions/15/b3/9068f269df9c.json new file mode 100644 index 0000000000..f4fd567610 --- /dev/null +++ b/data/questions/15/b3/9068f269df9c.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube of side length $6$. \n\n![cube vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the cube.** \n\nAssume the slice is parallel to one of the faces of the cube.\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png":{"height":397,"width":304}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.5,1.5],[7.5,7.5],[1.5,7.5],[1.5,1.5]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"grid","range":[[0,10],[0,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/bf/a713e71be4b8.json b/data/questions/15/bf/a713e71be4b8.json new file mode 100644 index 0000000000..a76591da19 --- /dev/null +++ b/data/questions/15/bf/a713e71be4b8.json @@ -0,0 +1 @@ +{"content":"crwdns3077829:0$x$crwdnd3077829:0$0$crwdnd3077829:0$1.3$crwdnd3077829:0$2.6$crwdnd3077829:0$3.9$crwdnd3077829:0$5.2$crwdnd3077829:0$y$crwdnd3077829:0$0$crwdnd3077829:0$1$crwdnd3077829:0$2$crwdnd3077829:0$3$crwdnd3077829:0$4$crwdne3077829:0","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.7692307692307693},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[13,10],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-14,14],[-14,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/c8/0a3ee98e00ba.json b/data/questions/15/c8/0a3ee98e00ba.json new file mode 100644 index 0000000000..7d72b90681 --- /dev/null +++ b/data/questions/15/c8/0a3ee98e00ba.json @@ -0,0 +1 @@ +{"content":"crwdns4089707:0$7$crwdnd4089707:0{C}crwdnd4089707:0$y$crwdnd4089707:0{C}crwdne4089707:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4339d27be2c9183c6a87c4e3805a54b257497bef","width":425},"correct":{"coords":[[8,-4],[-6,-4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/d4/9c9a11231ece.json b/data/questions/15/d4/9c9a11231ece.json new file mode 100644 index 0000000000..9af6b8b768 --- /dev/null +++ b/data/questions/15/d4/9c9a11231ece.json @@ -0,0 +1 @@ +{"content":"Lionel is at the supermarket, comparing the nutrition facts on various cereal boxes. He notices that the more expensive cereals tend to have more calories per serving. Lionel has come up with the model $y =80x-70$ to represent the number of calories per serving as a function of price. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Price** |$\\$2.50$ | $\\$3.00$| $\\$3.50$ | $\\$4.00$ | $\\$4.50$|$\\$5.00$\n**Residual value** | $-30$ | $-40$| $-30$ | $-30$| $-30$|$-40$| \n**Calories per serving** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":100},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":130},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":180},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":220},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":260},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":290},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2.5,100],[5,290],[4.5,260],[4,220],[3.5,180],[3,130]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,20],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-20,350]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,10],"step":[1,100]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":false},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":false},{"content":"Decrease the y-intercept of the line.","correct":true},{"content":"None of the above - the model is a good fit for the data."}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/15/db/25c0496fa1c6.json b/data/questions/15/db/25c0496fa1c6.json new file mode 100644 index 0000000000..23a477af62 --- /dev/null +++ b/data/questions/15/db/25c0496fa1c6.json @@ -0,0 +1 @@ +{"content":"crwdns6347457:0$ycrwdne6347457:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-5,0],[4,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/dc/111efda3330b.json b/data/questions/15/dc/111efda3330b.json new file mode 100644 index 0000000000..bb00044a02 --- /dev/null +++ b/data/questions/15/dc/111efda3330b.json @@ -0,0 +1 @@ +{"content":"Dexter plans and records his spending. In the coordinate plane below, the $x$-axis represents the number of days before or after today. For example, $-1$ would represent yesterday. The $y$-axis represents the amount of money Dexter planned to spend in dollars. The points $(-5, 8)$ and $(2, 8)$ represent Dexter's planned spending on two separate days.\n\n**Plot the two points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many days separate the two days Dexter planned to spend $\\$8$ ?** \n\n[[☃ input-number 1]] days\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,8],[2,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x (\\text{days})","y (\\text{dollars})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/df/045eeb5e7b97.json b/data/questions/15/df/045eeb5e7b97.json new file mode 100644 index 0000000000..77e60bbb45 --- /dev/null +++ b/data/questions/15/df/045eeb5e7b97.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\cos(2x-3\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[3.5,2],[3,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3399a2166bf8f88b67cacda125ca07971602b0b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/e3/a6d360bce70a.json b/data/questions/15/e3/a6d360bce70a.json new file mode 100644 index 0000000000..c700c64a27 --- /dev/null +++ b/data/questions/15/e3/a6d360bce70a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,0)$, and which has the point $(6,-8)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[0,0],"radius":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/e7/72c9cb6ae6f3.json b/data/questions/15/e7/72c9cb6ae6f3.json new file mode 100644 index 0000000000..86b2f15828 --- /dev/null +++ b/data/questions/15/e7/72c9cb6ae6f3.json @@ -0,0 +1 @@ +{"content":"crwdns3457581:0crwdne3457581:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,1],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/15/f3/e237aebb0c33.json b/data/questions/15/f3/e237aebb0c33.json new file mode 100644 index 0000000000..ca16bbbd83 --- /dev/null +++ b/data/questions/15/f3/e237aebb0c33.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e8901a77c39d9c986e6cf364a7dab1fc7732568c","width":400},"correct":{"coords":[[6,4],[7,6],[5,5],[6,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/14/611051a00225.json b/data/questions/16/14/611051a00225.json new file mode 100644 index 0000000000..0b88618bba --- /dev/null +++ b/data/questions/16/14/611051a00225.json @@ -0,0 +1 @@ +{"content":"crwdns4135223:0$6$crwdnd4135223:0$d$crwdnd4135223:0$b$crwdnd4135223:0$2$crwdnd4135223:0$5$crwdne4135223:0","images":{"https://ka-perseus-graphie.s3.amazonaws.com/cfefcdd2a689aef3469c2c2b72bec611374853b3.png":{"height":425,"width":425}},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"d=6b"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,6],"labels":["crwdns5287441:0{Boxes}crwdne5287441:0","crwdns3213819:0{Dollars}crwdne3213819:0"],"markings":"graph","range":[[-1,11],[-1,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,3],"step":[1,6]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/14/fda6cc59cd59.json b/data/questions/16/14/fda6cc59cd59.json new file mode 100644 index 0000000000..deb7228dde --- /dev/null +++ b/data/questions/16/14/fda6cc59cd59.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\cos\\left(\\dfrac{\\pi}{4}x+\\dfrac{\\pi}{2}\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[0,3],[-2,3.5]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/20/ee0a95f09a92.json b/data/questions/16/20/ee0a95f09a92.json new file mode 100644 index 0000000000..1c0e93f0b1 --- /dev/null +++ b/data/questions/16/20/ee0a95f09a92.json @@ -0,0 +1 @@ +{"content":"crwdns4132428:0$P$crwdnd4132428:0{1}crwdnd4132428:0{3}crwdne4132428:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/080a86bfaa4d108e99153a8dfc0606a9943a91bf","width":400},"correct":{"coords":[[2,-5],[5,-1],[1,-2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/2a/6dff70d37967.json b/data/questions/16/2a/6dff70d37967.json new file mode 100644 index 0000000000..6d3174e2a1 --- /dev/null +++ b/data/questions/16/2a/6dff70d37967.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक ऐसा पंचभुज (pentagon) बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−8,9), (−9,7), (−9,4), (−3,5), (−4,9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,9],[-9,7],[-9,4],[-3,5],[-4,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/16/30/d50f0de7162c.json b/data/questions/16/30/d50f0de7162c.json new file mode 100644 index 0000000000..a906869943 --- /dev/null +++ b/data/questions/16/30/d50f0de7162c.json @@ -0,0 +1 @@ +{"content":"crwdns3077838:0$d$crwdnd3077838:0$t$crwdnd3077838:0$5$crwdnd3077838:0$t$crwdnd3077838:0$2$crwdnd3077838:0$d$crwdnd3077838:0$d$crwdnd3077838:0$t$crwdnd3077838:0$1$crwdnd3077838:0$t$crwdnd3077838:0$d$crwdne3077838:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"0.4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns3882320:0crwdne3882320:0","crwdns3882319:0crwdne3882319:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/34/ca3a3a14f7b9.json b/data/questions/16/34/ca3a3a14f7b9.json new file mode 100644 index 0000000000..72cbc427f2 --- /dev/null +++ b/data/questions/16/34/ca3a3a14f7b9.json @@ -0,0 +1 @@ +{"content":"[Q4] Consider the following trigonometric function:\n\n$\\qquad h(x)=0.5\\sin(0.25x+0.75\\pi)-5$\n\n**Graph $h(x)$ in the interactive widget.**\n\nhint: the function has a midline of $y = -5$, a period of $8\\pi$, a local maximum at $(-\\pi, -4.5)$, and a local minimum at $(3\\pi , -5.5)$.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-6,-5],[-2,-4.5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/39/8787b114bbc0.json b/data/questions/16/39/8787b114bbc0.json new file mode 100644 index 0000000000..78fe635355 --- /dev/null +++ b/data/questions/16/39/8787b114bbc0.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\sin\\left(\\dfrac{\\pi}{2}x\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,2],[1,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/40/9467ab6f7887.json b/data/questions/16/40/9467ab6f7887.json new file mode 100644 index 0000000000..c213de39e3 --- /dev/null +++ b/data/questions/16/40/9467ab6f7887.json @@ -0,0 +1 @@ +{"content":"The ice cream store wants to build a new shop halfway between the towns of Riverside and Fairview. Riverside is located at $(2,4)$ on the map below. Fairview is located at $(12,4)$. \n\n**Plot Riverside, Fairview, and the new ice cream shop on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the ice cream store build its new shop?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7,4],[12,4],[2,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/41/8d22302f8e9c.json b/data/questions/16/41/8d22302f8e9c.json new file mode 100644 index 0000000000..a40e29a572 --- /dev/null +++ b/data/questions/16/41/8d22302f8e9c.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $50^\\circ$, $60^\\circ$, and $70^\\circ$ angles.**\n\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[8.97473270351352,2.6017045644409715],[6.229055532732191,10.57573007041029],[1.5160052207748924,2.7318971369340552]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/42/43305c3c242a.json b/data/questions/16/42/43305c3c242a.json new file mode 100644 index 0000000000..95da0bc514 --- /dev/null +++ b/data/questions/16/42/43305c3c242a.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a quadratic function with domain $x<3$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265,"height":265},"labels":[],"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"![A ray of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is an open unfilled circle at the point (3, 3). There is a curve from this point to the left that travels up to the point (negative 2, 8) and then back down to the bottom left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/18c385f0fffaf55e20e323186a5edc53536a2f6a)"},{"correct":false,"content":"![A ray of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (3, 3). There is a curve from this point to the left that travels up to the point (negative 2, 8) and then back down to the bottom left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/87d2e481a7434919c4d243891e63cd4ad5d92a52)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is an open unfilled circle at the point (4, negative 2). There is a curve from this point to the left that travels up to the point (negative 1, 3) and then back down to the bottom left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2b77fe8a0c3fe353b10f138dc19bae473a0c9227)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (4, negative 2). There is a curve from this point to the left that travels up to the point (negative 1, 3) and then back down to the bottom left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa445881baec9a1e8869234ebf7a17571aaa0c69)"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/16/48/d1c88e4f1025.json b/data/questions/16/48/d1c88e4f1025.json new file mode 100644 index 0000000000..e2d4348672 --- /dev/null +++ b/data/questions/16/48/d1c88e4f1025.json @@ -0,0 +1 @@ +{"content":"**Graph $y = \\dfrac{2}{3}(x-5)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[8,2],[5,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/58/c13f7fa05ba1.json b/data/questions/16/58/c13f7fa05ba1.json new file mode 100644 index 0000000000..5c5a646df1 --- /dev/null +++ b/data/questions/16/58/c13f7fa05ba1.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local disc golf course is shown below. The tee on the first hole is located at the point $(1,2)$. The hole is located at the point $(8,2)$.\n\n**Plot the tee and the hole on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far is the tee from the hole?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,2],[8,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/59/1bf17cd0283b.json b/data/questions/16/59/1bf17cd0283b.json new file mode 100644 index 0000000000..d9d4fbb228 --- /dev/null +++ b/data/questions/16/59/1bf17cd0283b.json @@ -0,0 +1 @@ +{"content":"The graph below contains triangle $\\triangle ABC$ and the point $P$. \n \n**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $2$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the side $\\overline{AB}$ and its image?** \n\n$\\overline{AB}$ is [[☃ input-number 1]] units long, and its image is [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"10"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/13fdc1c1a36c96d5e24024fc91e7a8c2c4c8bdb6.png","width":425},"correct":{"coords":[[9,1],[3,9],[3,-5]],"numSides":3,"showAngles":false,"type":"polygon"},"graph":{"numSides":3,"showAngles":false,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/5e/f88311d705f6.json b/data/questions/16/5e/f88311d705f6.json new file mode 100644 index 0000000000..bdb8e1dc64 --- /dev/null +++ b/data/questions/16/5e/f88311d705f6.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle ABC$ after the rotation $R_{90^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5abab5dcef96044dfdfd039247e3ad6aa6623cc4.png","width":425},"correct":{"coords":[[-3,7],[-3,2],[-7,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/16/62/8c5871f69afa.json b/data/questions/16/62/8c5871f69afa.json new file mode 100644 index 0000000000..60ef09c63b --- /dev/null +++ b/data/questions/16/62/8c5871f69afa.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the right and $5$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/33a2a5c04e8d8c2bea17a91f664c1a678371f18d","width":425},"correct":{"coords":[[5,-6],[6,-4],[-3,-2],[-2,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/63/a5d16bf1597f.json b/data/questions/16/63/a5d16bf1597f.json new file mode 100644 index 0000000000..6318793b37 --- /dev/null +++ b/data/questions/16/63/a5d16bf1597f.json @@ -0,0 +1 @@ +{"content":"crwdns3049603:0crwdne3049603:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-7,-5],[-7,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6},{"maxError":null,"message":"crwdns3881777:0crwdne3881777:0","simplify":"required","status":"wrong","strict":false,"value":-6}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/7d/16fb68f1e3df.json b/data/questions/16/7d/16fb68f1e3df.json new file mode 100644 index 0000000000..2be93714cd --- /dev/null +++ b/data/questions/16/7d/16fb68f1e3df.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$2$|$1$|$0$|$1$|$2$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/69961222ee8216018362b98d56c9fdf40073782d","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,-2]],[[-5,3],[5,1]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,-2]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/16/81/8c14f46ec3fe.json b/data/questions/16/81/8c14f46ec3fe.json new file mode 100644 index 0000000000..2dad9c9560 --- /dev/null +++ b/data/questions/16/81/8c14f46ec3fe.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(-7,-5)$ and $(-1,-2)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4afc8019a65038699d6a783b9b8b8edf95e62acf","width":425},"correct":{"coords":[[[-5,-7],[-2,-1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/89/2514b9f9cf9f.json b/data/questions/16/89/2514b9f9cf9f.json new file mode 100644 index 0000000000..f4933f539e --- /dev/null +++ b/data/questions/16/89/2514b9f9cf9f.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}0 & 5 \\\\ -5 & 5\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}5 \\\\ 2\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e273fe0d304ea666acffdbfbbc2ff239f64d528","width":425},"correct":{"coords":[[[0,0],[10,-15]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/8c/4366d16b42aa.json b/data/questions/16/8c/4366d16b42aa.json new file mode 100644 index 0000000000..1b924467dd --- /dev/null +++ b/data/questions/16/8c/4366d16b42aa.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable pentagon to construct the image of pentagon $HERON$ after reflection across the line $y = 1$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/75cec63a76fe08d8e534f50243e489c1705fd46d.png","width":425},"correct":{"coords":[[-5,-1],[-7,-3],[-3,-5],[2,-2],[1,0]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/16/9b/e1c54e5114bf.json b/data/questions/16/9b/e1c54e5114bf.json new file mode 100644 index 0000000000..e68c9f2523 --- /dev/null +++ b/data/questions/16/9b/e1c54e5114bf.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local grocery store is shown below. Ice cream is located at the point $(-8,0)$. Sprinkles are located at the point $(-8,6)$.\n\n**Plot the ice cream and sprinkles on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far is the ice cream from the sprinkles?** \n[[☃ input-number 1]] units\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,0],[-8,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/9f/48ee98681b37.json b/data/questions/16/9f/48ee98681b37.json new file mode 100644 index 0000000000..b2b2333dcb --- /dev/null +++ b/data/questions/16/9f/48ee98681b37.json @@ -0,0 +1 @@ +{"content":"**Match the lower graph to the point marked on the upper one.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"point","coord":[2,-5],"color":"blue","filled":true,"labels":[]}],"graph":{"type":"none"},"correct":{"type":"none","hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}},"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"graph":{"type":"point","numPoints":1},"correct":{"type":"point","numPoints":1,"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[2,-5]],"focusedPointIndex":null,"showRemovePointButton":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/a2/7b1f5a6dc665.json b/data/questions/16/a2/7b1f5a6dc665.json new file mode 100644 index 0000000000..0c242bcf79 --- /dev/null +++ b/data/questions/16/a2/7b1f5a6dc665.json @@ -0,0 +1 @@ +{"content":"[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[1,1],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/b1/0ba62e123446.json b/data/questions/16/b1/0ba62e123446.json new file mode 100644 index 0000000000..92d3ed9ec2 --- /dev/null +++ b/data/questions/16/b1/0ba62e123446.json @@ -0,0 +1 @@ +{"content":"The ordered pair $(a, b)$ gives the location of point $P$ on the coordinate plane. The value of $a$ is $0$, but $b$ is not zero. \n\n**Where could point $P$ be located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["Quadrant I","Quadrant II","Quadrant III","Quadrant IV","$x$-axis","$y$-axis"],"items":["$(2,4.5)$","$(0,-3)$","$(7, -\\dfrac12)$"],"randomizeItems":false,"values":[0,5,3]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-12e77f","options":{"color":"black","coordX":"0","coordY":"0"},"type":"point"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Ɋúùáàďđŕřáàńňťț ÎÏ","correct":false},{"content":"Ɋúùáàďđŕřáàńňťț ÎÏÎÏ","correct":false},{"content":"Ɋúùáàďđŕřáàńňťț ÎÏÎÏÎÏ","correct":false},{"content":"Ɋúùáàďđŕřáàńňťț ÎÏṼṾ","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/b4/654ad0f57e1b.json b/data/questions/16/b4/654ad0f57e1b.json new file mode 100644 index 0000000000..a99afa8800 --- /dev/null +++ b/data/questions/16/b4/654ad0f57e1b.json @@ -0,0 +1 @@ +{"content":"**The pentagon shown in the graph is transformed by matrix $R$. Plot the resulting pentagon.** \n\n$R=\\left[\\begin{array} {ccc}\n-1 & 0 \\\\\n0 & 1 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f0f688df89626f8fa49972d22c51ee114cf7e9f0","width":425},"correct":{"coords":[[-1,-6],[1,-6],[2,0],[0,3],[-2,0]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/b8/fd87c4b47cac.json b/data/questions/16/b8/fd87c4b47cac.json new file mode 100644 index 0000000000..155bcf05d3 --- /dev/null +++ b/data/questions/16/b8/fd87c4b47cac.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local mini-golf course is shown below. The tee on the first hole is located at the point $(-9,-7)$. The hole is located at the point $(-5,-7)$.\n\n**Plot the tee and the hole on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far is the tee from the hole?** \n[[☃ input-number 1]] units\n\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-4},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-9,-7],[-5,-7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"In a city with an elevation of $6 \\text{ km}$ *below* sea level, the temperature was $5 ^{\\circ}\\text{C}$ *below* zero.","correct":false},{"content":"In a city with an elevation of $6 \\text{ km}$ *above* sea level, the temperature was $5 ^{\\circ}\\text{C}$ *below* zero.","correct":false},{"content":"In a city with an elevation of $6 \\text{ km}$ *below* sea level, the temperature was $5 ^{\\circ}\\text{C}$ *above* zero.","correct":true},{"content":"In a city with an elevation of $6 \\text{ km}$ *above* sea level, the temperature was $5 ^{\\circ}\\text{C}$ *above* zero.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/bd/cc4570a4d4b6.json b/data/questions/16/bd/cc4570a4d4b6.json new file mode 100644 index 0000000000..ee2cd910cd --- /dev/null +++ b/data/questions/16/bd/cc4570a4d4b6.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3^{4-x}+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,1],[10,1]],"coords":[[4,2],[3,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/be/14a0a8299fb2.json b/data/questions/16/be/14a0a8299fb2.json new file mode 100644 index 0000000000..2a5c03eb70 --- /dev/null +++ b/data/questions/16/be/14a0a8299fb2.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-8,7)$ and $(5,7)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-8,7],[5,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/c5/c600d2e72a07.json b/data/questions/16/c5/c600d2e72a07.json new file mode 100644 index 0000000000..7b68b2028d --- /dev/null +++ b/data/questions/16/c5/c600d2e72a07.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8bf7cbeff4f1e2d0b258e258c9269c4c985b34e0","width":430},"correct":{"coords":[[-6,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/c9/bfea7e115eb7.json b/data/questions/16/c9/bfea7e115eb7.json new file mode 100644 index 0000000000..461fe83b47 --- /dev/null +++ b/data/questions/16/c9/bfea7e115eb7.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nMandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n| | |\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,5],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Hours}$","$\\text{Earnings}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,6.5],[-1,55]],"gridStep":[0.5,5],"snapStep":[0.25,2.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[1,10],[2,20],[3,30]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/16/d9/1ab617f5b097.json b/data/questions/16/d9/1ab617f5b097.json new file mode 100644 index 0000000000..9f58b8e2a3 --- /dev/null +++ b/data/questions/16/d9/1ab617f5b097.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-5)^2+(y-2)^2=16$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[5,2],"radius":4}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/e3/edc59a86e6b8.json b/data/questions/16/e3/edc59a86e6b8.json new file mode 100644 index 0000000000..8f16e68163 --- /dev/null +++ b/data/questions/16/e3/edc59a86e6b8.json @@ -0,0 +1 @@ +{"content":"crwdns3139094:0crwdne3139094:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-4},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-9,-7],[-5,-7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"In a city with an elevation of $6 \\text{ km}$ *below* sea level, the temperature was $5 ^{\\circ}\\text{C}$ *below* zero.","correct":false},{"content":"In a city with an elevation of $6 \\text{ km}$ *above* sea level, the temperature was $5 ^{\\circ}\\text{C}$ *below* zero.","correct":false},{"content":"In a city with an elevation of $6 \\text{ km}$ *below* sea level, the temperature was $5 ^{\\circ}\\text{C}$ *above* zero.","correct":true},{"content":"In a city with an elevation of $6 \\text{ km}$ *above* sea level, the temperature was $5 ^{\\circ}\\text{C}$ *above* zero.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/ee/585214eca1eb.json b/data/questions/16/ee/585214eca1eb.json new file mode 100644 index 0000000000..54cd893384 --- /dev/null +++ b/data/questions/16/ee/585214eca1eb.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a35c2a13ef3eec1ba77ab7d0f8af7f021e2e223","width":425},"correct":{"coords":[[6,2],[3,6],[3,4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/f7/0d94a4efe198.json b/data/questions/16/f7/0d94a4efe198.json new file mode 100644 index 0000000000..fa967f4bd1 --- /dev/null +++ b/data/questions/16/f7/0d94a4efe198.json @@ -0,0 +1 @@ +{"content":"crwdns3139091:0crwdne3139091:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,0],[-8,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/16/fe/845895aa75a4.json b/data/questions/16/fe/845895aa75a4.json new file mode 100644 index 0000000000..2a2ebd2875 --- /dev/null +++ b/data/questions/16/fe/845895aa75a4.json @@ -0,0 +1 @@ +{"content":"crwdns4038378:0$fcrwdnd4038378:0{3}crwdnd4038378:0{8}crwdne4038378:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-6],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/0f/f2433c84b3c6.json b/data/questions/17/0f/f2433c84b3c6.json new file mode 100644 index 0000000000..eda16ad09f --- /dev/null +++ b/data/questions/17/0f/f2433c84b3c6.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\sin\\left(\\dfrac{1}{7}x\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/14/315e6bbbb403.json b/data/questions/17/14/315e6bbbb403.json new file mode 100644 index 0000000000..c5ef2b2932 --- /dev/null +++ b/data/questions/17/14/315e6bbbb403.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-3, 4)$ and $(4, 4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-3,4],[4,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-7}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/1d/fbd2ed178f8d.json b/data/questions/17/1d/fbd2ed178f8d.json new file mode 100644 index 0000000000..7380ae1f62 --- /dev/null +++ b/data/questions/17/1d/fbd2ed178f8d.json @@ -0,0 +1 @@ +{"content":"crwdns4192776:0$10$crwdnd4192776:0$x$crwdnd4192776:0$y$crwdnd4192776:0$ycrwdnd4192776:0$3$crwdnd4192776:0$5$crwdne4192776:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,30],[5,50]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-5,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/1e/4a4e36e98836.json b/data/questions/17/1e/4a4e36e98836.json new file mode 100644 index 0000000000..7e786914cd --- /dev/null +++ b/data/questions/17/1e/4a4e36e98836.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$12$|$13$|$15$|$16$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/204472f9a09c3dd0c096062d6309745d6e9e4362","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/17/26/b8afb278c67b.json b/data/questions/17/26/b8afb278c67b.json new file mode 100644 index 0000000000..5497530e1c --- /dev/null +++ b/data/questions/17/26/b8afb278c67b.json @@ -0,0 +1 @@ +{"content":"crwdns3890754:0{x}crwdnd3890754:0{array}crwdnd3890754:0{rr}crwdnd3890754:0{array}crwdnd3890754:0{v}crwdnd3890754:0{v}crwdnd3890754:0{array}crwdnd3890754:0{r}crwdnd3890754:0{array}crwdne3890754:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8730e9bfa866229fa4c1305eb2da86b032e99034","width":425},"correct":{"coords":[[[0,0],[-2,2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/26/e8ceea63f1b1.json b/data/questions/17/26/e8ceea63f1b1.json new file mode 100644 index 0000000000..6270dee288 --- /dev/null +++ b/data/questions/17/26/e8ceea63f1b1.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(4,8)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[4,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/29/41883841b74d.json b/data/questions/17/29/41883841b74d.json new file mode 100644 index 0000000000..d5f19b6a7f --- /dev/null +++ b/data/questions/17/29/41883841b74d.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{3}{8}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{3}{8}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=3/8x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,3],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/30/c6989a14cdfc.json b/data/questions/17/30/c6989a14cdfc.json new file mode 100644 index 0000000000..ccab8702ac --- /dev/null +++ b/data/questions/17/30/c6989a14cdfc.json @@ -0,0 +1 @@ +{"content":"This one has a ruler.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"segment"},"correct":{"type":"segment"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/37/f0a3391c43c7.json b/data/questions/17/37/f0a3391c43c7.json new file mode 100644 index 0000000000..e3596173aa --- /dev/null +++ b/data/questions/17/37/f0a3391c43c7.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=7|x -4|-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[4,-1],[5,6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/43/9d962cd5bd42.json b/data/questions/17/43/9d962cd5bd42.json new file mode 100644 index 0000000000..27838ce61f --- /dev/null +++ b/data/questions/17/43/9d962cd5bd42.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2.5x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"□□□ □□□□□□□□ □□□□□□□□□□ □ □□□□□□□□□□□□ □□□□□□□□□□□□.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $\\dfrac{2}{5}$ .\n","correct":false},{"content":"The slope of the line is $2.5.$","correct":true},{"content":" A change of $5$ units in $x$ results in a change of $2$ units in $y$.","correct":false},{"content":" A change of $2$ units in $x$ results in a change of $5$ units in $y$.","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/44/e0602cf78965.json b/data/questions/17/44/e0602cf78965.json new file mode 100644 index 0000000000..7d47f1df39 --- /dev/null +++ b/data/questions/17/44/e0602cf78965.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-0.5(x-2)^2+4.5$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2,4.5],[5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/47/ffb1bf207620.json b/data/questions/17/47/ffb1bf207620.json new file mode 100644 index 0000000000..5f2181c75c --- /dev/null +++ b/data/questions/17/47/ffb1bf207620.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(0, 9), (8, 0), (8, -7), (-3,-5),(-5, 0), (-5, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-5],[-5,0],[-5,9],[0,9],[8,0],[8,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/50/6b158c116eb5.json b/data/questions/17/50/6b158c116eb5.json new file mode 100644 index 0000000000..3c7eaee1ca --- /dev/null +++ b/data/questions/17/50/6b158c116eb5.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+5)^2+(y+2)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,-2],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/57/7a0e67600559.json b/data/questions/17/57/7a0e67600559.json new file mode 100644 index 0000000000..d25d612bee --- /dev/null +++ b/data/questions/17/57/7a0e67600559.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=-4|x +1|-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-1,-3],[0,-7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/65/2af0d8437796.json b/data/questions/17/65/2af0d8437796.json new file mode 100644 index 0000000000..2966f0c62d --- /dev/null +++ b/data/questions/17/65/2af0d8437796.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\cos\\left(\\dfrac{\\pi}{3}x+\\pi\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-1.5,-3],[-3,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/6c/967bc9dcbea8.json b/data/questions/17/6c/967bc9dcbea8.json new file mode 100644 index 0000000000..ccfc1d54cb --- /dev/null +++ b/data/questions/17/6c/967bc9dcbea8.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=2x^2-5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-5],[1,-3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/7c/144dcd774bef.json b/data/questions/17/7c/144dcd774bef.json new file mode 100644 index 0000000000..ecea3fa40a --- /dev/null +++ b/data/questions/17/7c/144dcd774bef.json @@ -0,0 +1 @@ +{"content":"Vijay walks $4$ blocks east. Then he turns $90^\\circ$ left (counterclockwise) and walks $2$ blocks.\n\n**What direction does Vijay end up facing?**\n\n[[☃ radio 1]]\n\nVijay begins at the star. Each square represents $1$ block.\n\n**Place the point where Vijay ends.**\n[[☃ interactive-graph 1]] \n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/6828e6b1035f3905c52c4a4add96109677da4504)\n\n[Do you think this should be split into 2 items?]:","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6828e6b1035f3905c52c4a4add96109677da4504":{"height":170,"width":170},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9ffb413c84d77b7a6297cd29607c0f33a66b100":{"height":170,"width":170}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c5af0e94821f5919f7d23a73697d145a48e371cf","width":400},"correct":{"coords":[[4,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"North","correct":true},{"content":"South","correct":false},{"content":"East","correct":false,"isNoneOfTheAbove":false},{"content":"West","correct":false,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/17/82/02c40e63c978.json b/data/questions/17/82/02c40e63c978.json new file mode 100644 index 0000000000..708b56e062 --- /dev/null +++ b/data/questions/17/82/02c40e63c978.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{10} \\left( \\cos(162 \\degree) + i\\sin(162 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[-3,1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/af/b3061d277000.json b/data/questions/17/af/b3061d277000.json new file mode 100644 index 0000000000..940898c452 --- /dev/null +++ b/data/questions/17/af/b3061d277000.json @@ -0,0 +1 @@ +{"content":"The four corners of a square are located at the points $(3,4)$, $(3,8)$, $(7,8)$, and $(7,4)$.\n\n\n**Plot the four corners of the square on the coordinate plane below.**\n\n[[☃ interactive-graph 1]] \n\n**How long is each side of the square?** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4],[7,8],[7,4],[3,8]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/bc/d21b3ce6bded.json b/data/questions/17/bc/d21b3ce6bded.json new file mode 100644 index 0000000000..292f8cb64a --- /dev/null +++ b/data/questions/17/bc/d21b3ce6bded.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/bd/6f1223dc3f60.json b/data/questions/17/bd/6f1223dc3f60.json new file mode 100644 index 0000000000..5b3eca0d23 --- /dev/null +++ b/data/questions/17/bd/6f1223dc3f60.json @@ -0,0 +1 @@ +{"content":"**Construct a $70^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/534c542b655115da6ac73ac7602e42411cd9dce0.png":{"height":168,"width":158},"https://ka-perseus-images.s3.amazonaws.com/f553c121920ab21939847db6f513c6a8f87f04e7.png":{"height":387,"width":360}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-2.8247759450082897,-1.2389918760711316],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/be/b48836916a8b.json b/data/questions/17/be/b48836916a8b.json new file mode 100644 index 0000000000..37216a64a6 --- /dev/null +++ b/data/questions/17/be/b48836916a8b.json @@ -0,0 +1 @@ +{"content":"Yuna's favorite type of cheese crackers has $30$ crackers for each serving.\n\n**Complete the table for the given ratio.** \n \nServings, $x$ | Crackers, $y$ \n:-: | :-: \n$1$ | $30$\n$2$| [[☃ numeric-input 3]]\n$3$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/28efd36c6c29bb23bb8b04d485e536b458c51383","width":425},"correct":{"coords":[[2,60],[3,90]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["x","y"],"markings":"none","range":[[-1,6],[-10,95]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,5],"step":[1,20]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":60}],"coefficient":false,"labelText":"crackers for 2 servings","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":90}],"coefficient":false,"labelText":"crackers for 3 servings","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/c3/f185ce3106ae.json b/data/questions/17/c3/f185ce3106ae.json new file mode 100644 index 0000000000..4f9dc667be --- /dev/null +++ b/data/questions/17/c3/f185ce3106ae.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{3}{2}x-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-3],[2,-6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/c8/123fae4430ed.json b/data/questions/17/c8/123fae4430ed.json new file mode 100644 index 0000000000..3b2bdd6fa7 --- /dev/null +++ b/data/questions/17/c8/123fae4430ed.json @@ -0,0 +1 @@ +{"content":"crwdns6726982:0$xcrwdne6726982:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,-2],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/c9/f35d3f343a64.json b/data/questions/17/c9/f35d3f343a64.json new file mode 100644 index 0000000000..3292a3ba9b --- /dev/null +++ b/data/questions/17/c9/f35d3f343a64.json @@ -0,0 +1 @@ +{"content":"**Use the following coordinate plane to write the ordered pair for each point.** \n\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdf73e7def2e706df98e2bf4d738bdb8bed79614)\n\nPoint | Ordered pair\n- | - \n$\\green{A}$ | $($ [[☃ numeric-input 1]] , [[☃ numeric-input 2]] $)$\n$\\purple{B}$| $($ [[☃ numeric-input 3]] , [[☃ numeric-input 4]] $)$\n$\\blue{C}$| $($ [[☃ numeric-input 5]] , [[☃ numeric-input 6]] $)$\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdf73e7def2e706df98e2bf4d738bdb8bed79614":{"height":425,"width":440}},"widgets":{"interaction 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interactive-graph 7]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f4a110969b2e6e1772058f9916fe08741fb2d54b.png","width":400},"correct":{"coords":[[3,4],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/f5/14eabc9c3fa3.json b/data/questions/17/f5/14eabc9c3fa3.json new file mode 100644 index 0000000000..c6de485e5a --- /dev/null +++ b/data/questions/17/f5/14eabc9c3fa3.json @@ -0,0 +1 @@ +{"content":"crwdns3890742:0{x}crwdnd3890742:0{array}crwdnd3890742:0{rr}crwdnd3890742:0{array}crwdnd3890742:0{v}crwdnd3890742:0{v}crwdnd3890742:0{array}crwdnd3890742:0{r}crwdnd3890742:0{array}crwdne3890742:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b923336d10e58d9799429a7b01e6b6e7831b90ba","width":425},"correct":{"coords":[[[0,0],[7,9]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/17/f6/030cd7675797.json b/data/questions/17/f6/030cd7675797.json new file mode 100644 index 0000000000..02af49ec8b --- /dev/null +++ b/data/questions/17/f6/030cd7675797.json @@ -0,0 +1 @@ +{"content":"Here is the graph of a quadratic function $f$.\n\n[[☃ image 1]]\n\n**Select the equation that defines $f$ in standard form.**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"quadratic"},"valid":true,"correct":{"type":"quadratic"}},"type":"interactive-graph","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"interactive-graph 2":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/018c90693917e93ef4669e1ac01f1d7d0d016e20","width":265,"height":265},"labels":[],"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 8 to 8. The quadratic function is concave up, has x intercepts at (negative 4, 0) and (2, 0), and an f of x intercept at (0, -4).","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"expression 1":{"options":{"answerForms":[{"considered":"correct","form":true,"key":0,"simplify":false,"value":"-2x^{2}-2x+40","times":false,"functions":["f","g","h"],"buttonSets":["basic"],"buttonsVisible":"focused","linterContext":{"contentType":"","highlightLint":false,"paths":[],"stack":[]}}],"times":false,"buttonSets":["basic"],"functions":["f","g","h"],"static":false},"type":"expression","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false},"radio 1":{"options":{"choices":[{"content":"$f(x)=\\dfrac{1}{2}x^{2}+x-4$","correct":true},{"correct":false,"content":"$f(x)=x^{2}+2x-8$"},{"correct":false,"content":"$f(x)=x^{2}-2x-8$"},{"correct":false,"content":"$f(x)=\\dfrac{1}{2}x^{2}-x-4$"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/17/f9/58435717d489.json b/data/questions/17/f9/58435717d489.json new file mode 100644 index 0000000000..047196a27d --- /dev/null +++ b/data/questions/17/f9/58435717d489.json @@ -0,0 +1 @@ +{"content":"crwdns3508052:0crwdne3508052:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5.5,4],[0,-9],[-7,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/18/05/3635ab65cd8d.json b/data/questions/18/05/3635ab65cd8d.json new file mode 100644 index 0000000000..71735d2529 --- /dev/null +++ b/data/questions/18/05/3635ab65cd8d.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2^{x+1}-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-3],[10,-3]],"coords":[[0,-1],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/18/0b/9acbcf8c6d67.json b/data/questions/18/0b/9acbcf8c6d67.json new file mode 100644 index 0000000000..69edd7d7f8 --- /dev/null +++ b/data/questions/18/0b/9acbcf8c6d67.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(4,3)$ and has a slope of $\\dfrac12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[4,3],[6,4]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/18/14/91e1fe0fe1d9.json b/data/questions/18/14/91e1fe0fe1d9.json new file mode 100644 index 0000000000..8eceb389f5 --- /dev/null +++ b/data/questions/18/14/91e1fe0fe1d9.json @@ -0,0 +1 @@ +{"content":"**Graph $-2x+y=8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 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+{"content":"crwdns3399071:0$f$crwdnd3399071:0$a$crwdnd3399071:0$e$crwdnd3399071:0$f$crwdnd3399071:0$x$crwdnd3399071:0$a$crwdnd3399071:0$b$crwdnd3399071:0$c$crwdnd3399071:0$d$crwdnd3399071:0$e$crwdnd3399071:0$fcrwdnd3399071:0$11$crwdnd3399071:0$12$crwdnd3399071:0$13$crwdnd3399071:0$15$crwdnd3399071:0$16$crwdnd3399071:0$f$crwdnd3399071:0$f$crwdne3399071:0","images":{},"widgets":{"interactive-graph 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2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":true},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/18/c2/170b4a30dfda.json b/data/questions/18/c2/170b4a30dfda.json new file mode 100644 index 0000000000..1a3a5ec98f --- /dev/null +++ b/data/questions/18/c2/170b4a30dfda.json @@ -0,0 +1 @@ +{"content":"$\\triangle{HAT}$ is reflected over the line $y=-3x$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 6":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/357dcee10be5cbb92632de2b123e10e58a3bdd60","width":425},"correct":{"coords":[[6,2],[-8,4],[2,-6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/18/c6/d8b338fa2f14.json b/data/questions/18/c6/d8b338fa2f14.json new file mode 100644 index 0000000000..eda43d24dc --- /dev/null +++ b/data/questions/18/c6/d8b338fa2f14.json @@ -0,0 +1 @@ +{"content":"crwdns4071474:0crwdne4071474:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7,-7],[5,4],[-3,4],[-3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/18/c9/4ee132c8ca10.json b/data/questions/18/c9/4ee132c8ca10.json new file mode 100644 index 0000000000..605115a2df --- /dev/null +++ b/data/questions/18/c9/4ee132c8ca10.json @@ -0,0 +1 @@ +{"content":"You are driving along the open highway on a cross-country road trip, cruising at a steady speed of $60$ miles per hour. \n\n**What is the slope of the line representing this relationship?**\n\nThe slope is [[☃ input-number 1]] .\n\n **Graph the proportional relationship \n$d=60t\\,$ that expresses your distance traveled $d$ (in miles) in terms of time $t$ (in hours) since you started going $60\\, \\text{mph}$. **\n\n\n\n\n\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"60"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e873a2844e0f055a21f9b5170525f15b5d42228e.png","width":425},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["□","□"],"markings":"none","range":[[-1,8],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,10]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/18/d6/2b10b7092eba.json b/data/questions/18/d6/2b10b7092eba.json new file mode 100644 index 0000000000..ae42f02f4f --- /dev/null +++ b/data/questions/18/d6/2b10b7092eba.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x-5)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[2,-3],[8,3]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,-3],"color":"grayH","filled":true},{"type":"point","coord":[3,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":false,"showPoint2":false},{"type":"point","coord":[3,3],"color":"grayH","filled":true},{"type":"point","coord":[-3,-3],"color":"grayH","filled":true}]},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, negative 5) and (2, negative 3).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/f1c31c9a31c988f00e354ea6dec1015d1345d481)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 5) and (2, 7).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/c2455ecf31b9dca406b6d237c565d192c9e68304)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 5) and (2, 7).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/172d861640abd5e0a83f27658dd1088f9a7a7cc6)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, negative 5) and (2, negative 3).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/dee709912c2388f83d6278084e08285717717b5f)","correct":false}],"randomize":true,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"dropdown 1":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"up/down","choices":[{"content":"up","correct":false},{"content":"down","correct":true}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false},"version":{"major":0,"minor":0}},"dropdown 2":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"right/left","choices":[{"content":"right","correct":true},{"content":"left","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/18/ed/13ddb029c779.json b/data/questions/18/ed/13ddb029c779.json new file mode 100644 index 0000000000..68d4f0bef4 --- /dev/null +++ b/data/questions/18/ed/13ddb029c779.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{2}(x-3)(x-7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,2],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/18/fb/0cb87df70997.json b/data/questions/18/fb/0cb87df70997.json new file mode 100644 index 0000000000..734d5f659d --- /dev/null +++ b/data/questions/18/fb/0cb87df70997.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nAt Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | |\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"showProtractor":false,"showTooltips":false,"range":[[-2,25],[-2,13]],"gridStep":[1,1],"snapStep":[1,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[8,5],[16,8],[24,10]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/19/04/6036fa3ffb2e.json b/data/questions/19/04/6036fa3ffb2e.json new file mode 100644 index 0000000000..ed0b0e8b28 --- /dev/null +++ b/data/questions/19/04/6036fa3ffb2e.json @@ -0,0 +1 @@ +{"content":"crwdns3225390:0:-:crwdnd3225390:0:-:crwdnd3225390:0:-:crwdnd3225390:0:-:crwdnd3225390:0$5$crwdnd3225390:0$11$crwdnd3225390:0$18$crwdnd3225390:0$10$crwdnd3225390:0$15$crwdnd3225390:0$20$crwdne3225390:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,10],[11,15],[18,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[2,5],"labels":["crwdns5287454:0{Km}crwdne5287454:0","crwdns3213934:0{Minutes}crwdne3213934:0"],"markings":"graph","range":[[-4,22],[-4,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,5],"step":[2,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2693864:0crwdne2693864:0","correct":false},{"content":"crwdns2693863:0crwdne2693863:0","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/19/14/f9399a59970f.json b/data/questions/19/14/f9399a59970f.json new file mode 100644 index 0000000000..d26e1c9291 --- /dev/null +++ b/data/questions/19/14/f9399a59970f.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +8x -2y -19=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,1],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/42/36a4ba5b02ca.json b/data/questions/19/42/36a4ba5b02ca.json new file mode 100644 index 0000000000..f837a265bd --- /dev/null +++ b/data/questions/19/42/36a4ba5b02ca.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e652b3064de8c8ebb74ab335f31fa4f1d7db550f","width":425},"correct":{"coords":[[5,2],[-3,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/43/0529ed058b96.json b/data/questions/19/43/0529ed058b96.json new file mode 100644 index 0000000000..88c88f5c8d --- /dev/null +++ b/data/questions/19/43/0529ed058b96.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(4,8)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/61/4a1e2337b6da.json b/data/questions/19/61/4a1e2337b6da.json new file mode 100644 index 0000000000..2d9a565308 --- /dev/null +++ b/data/questions/19/61/4a1e2337b6da.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=x+3^x$ and let $g(x)=-0.5(x+2)^2+4$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $x+3^x=-0.5(x+2)^2+4$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-2,4],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/27f164c2c97422a0dddfe2c5d4a12c7ff4b0a2e1","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":0.23},{"maxError":0.5,"message":"We're asked to find the greater of the two solutions. This approximates the lesser solution. ","simplify":"required","status":"wrong","strict":false,"value":-6.6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/68/23a7bc43ea15.json b/data/questions/19/68/23a7bc43ea15.json new file mode 100644 index 0000000000..74abe0f4b8 --- /dev/null +++ b/data/questions/19/68/23a7bc43ea15.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-3, 4)$ and $(4, 4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,4],[4,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-7}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/6e/817ca7e418b5.json b/data/questions/19/6e/817ca7e418b5.json new file mode 100644 index 0000000000..0fb940476f --- /dev/null +++ b/data/questions/19/6e/817ca7e418b5.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 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1":{"alignment":"block","graded":true,"options":{"location":"","static":false},"static":false,"type":"video","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/8f/c02b13ff0d5a.json b/data/questions/19/8f/c02b13ff0d5a.json new file mode 100644 index 0000000000..35b08ebfd9 --- /dev/null +++ b/data/questions/19/8f/c02b13ff0d5a.json @@ -0,0 +1 @@ +{"content":"Cam attempted to graph the equation $3(y-2) + x = 9$, but he got it wrong! His graph is shown below.\n\n**Step 1: Find an actual solution. \nWhen $x$ is $3$, the value of $y$ is** [[☃ numeric-input 1]].\n\n**Step 2: Plot the solution.**\n\n[[☃ interactive-graph 1]]\n\n**Step 3: Check if the solution is on the graph.**\n\n[[☃ radio 1]]","images":{"http://s3.amazonaws.com/illustrativemathematics/images/000/000/818/medium/seven_circles_ba4a5fd8b0a4a751dc704e843912f6ef.jpg?1336174598":{"height":300,"width":291}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"size":"small"},"type":"numeric-input"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes, the solution is on Cam's graph.","correct":false},{"content":"No, the solution is not on Cam's graph. Therefore, his graph is wrong.","correct":false}],"displayCount":null,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/19/93/bec9f48f2e30.json b/data/questions/19/93/bec9f48f2e30.json new file mode 100644 index 0000000000..d061bc3658 --- /dev/null +++ b/data/questions/19/93/bec9f48f2e30.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{5}{16}(x -1)(x -9)$\n\n[[☃ grapher 2]]","images":{},"widgets":{"grapher 2":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-5],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/95/116608e076bd.json b/data/questions/19/95/116608e076bd.json new file mode 100644 index 0000000000..c064bb9b12 --- /dev/null +++ b/data/questions/19/95/116608e076bd.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b538cff00325e87e4aa6fef2f9fbe4f59b7eee8a","width":430},"correct":{"coords":[[-2,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/9b/a42bb5a2d3af.json b/data/questions/19/9b/a42bb5a2d3af.json new file mode 100644 index 0000000000..fa02db2bd6 --- /dev/null +++ b/data/questions/19/9b/a42bb5a2d3af.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/627679bd8f17701f0bb377ad49543dafc3ef4d14","width":425},"correct":{"coords":[[-2,2],[-2,4],[-5,3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/9c/6867927f9ae2.json b/data/questions/19/9c/6867927f9ae2.json new file mode 100644 index 0000000000..626fa47813 --- /dev/null +++ b/data/questions/19/9c/6867927f9ae2.json @@ -0,0 +1 @@ +{"content":"crwdns3897510:0crwdne3897510:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ddf981ea31cd07ed4b9607c46fedd7e451e3e513","width":425},"correct":{"coords":[[0,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/9d/3482b934dde9.json b/data/questions/19/9d/3482b934dde9.json new file mode 100644 index 0000000000..44ac43cbcb --- /dev/null +++ b/data/questions/19/9d/3482b934dde9.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-3,-2)$, and which has the point $(-3,-9)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,-2],"radius":7,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/9d/49dd80866c1f.json b/data/questions/19/9d/49dd80866c1f.json new file mode 100644 index 0000000000..ddef8c02e7 --- /dev/null +++ b/data/questions/19/9d/49dd80866c1f.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0bb4a183e2c1692a7dce35914fc63c3d9b74fb15","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[2,-3],[-3,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/a0/a11bfcc1c3b3.json b/data/questions/19/a0/a11bfcc1c3b3.json new file mode 100644 index 0000000000..0f2213cac3 --- /dev/null +++ b/data/questions/19/a0/a11bfcc1c3b3.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nHolly swims without a membership. Consider the relationship between the number of days Holly swims and the total cost.\n\n \n**Fill in the table with the missing values.** \n \nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n\n**Is the relationship between the number of days Holly swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/62004949b9136c80c683b8a2acf38ac878ed4c22.png":{"height":428,"width":450}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":0,"scale":"1","url":"","width":0},"correct":{"coords":[[2,4],[1,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\text{Days}","crwdns3884580:0{Cost}crwdne3884580:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/a1/eb07ae470f00.json b/data/questions/19/a1/eb07ae470f00.json new file mode 100644 index 0000000000..6824658913 --- /dev/null +++ b/data/questions/19/a1/eb07ae470f00.json @@ -0,0 +1 @@ +{"content":"**Graph $x+3y=6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,2],[6,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/a6/7109ba56ee20.json b/data/questions/19/a6/7109ba56ee20.json new file mode 100644 index 0000000000..a6a102ba53 --- /dev/null +++ b/data/questions/19/a6/7109ba56ee20.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{B}$, and the other line goes through points $\\text{B}$ and $\\text{C}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/4d3bf0050ff62ecf215d41990fdf3be6c2b71152.png","width":400},"correct":{"coords":[[[8,-8],[6,8]],[[-8,6],[6,8]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/a6/c37ea6584cba.json b/data/questions/19/a6/c37ea6584cba.json new file mode 100644 index 0000000000..d7f4cdb7dd --- /dev/null +++ b/data/questions/19/a6/c37ea6584cba.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y-5)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/ad/3de09880ad9e.json b/data/questions/19/ad/3de09880ad9e.json new file mode 100644 index 0000000000..86aaba9641 --- /dev/null +++ b/data/questions/19/ad/3de09880ad9e.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1197a7ebeae001f5aebe8610344448e891f8cf38","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/b2/405fb216921f.json b/data/questions/19/b2/405fb216921f.json new file mode 100644 index 0000000000..8216d70ced --- /dev/null +++ b/data/questions/19/b2/405fb216921f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{3}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/81a2a3c4b1514ed8dee7ffa0bcd151f5b4748e77","width":400},"correct":{"coords":[[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/b7/51def1e0bf75.json b/data/questions/19/b7/51def1e0bf75.json new file mode 100644 index 0000000000..745f2fcc83 --- /dev/null +++ b/data/questions/19/b7/51def1e0bf75.json @@ -0,0 +1 @@ +{"content":"Throughout her college career, Alex has recorded how many hours she's spent doing schoolwork each week. She is now comparing this data with her GPA each semester, and has come up with the model $y =0.03x+2$ to represent GPA as a function of the number of hours per week she worked that semester. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Hours worked per week** |$0$ | $5$| $10$ | $15$ | $20$|$25$\n**Residual value** | $0$ | $0.05$| $0.4$ | $0.35$| $0.6$|$0.65$| \n**GPA** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.2},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.7},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.8},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3.2},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3.4},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,2],[5,2.2],[10,2.7],[20,3.2],[15,2.8000000000000003],[25,3.4000000000000004]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,0.2],"labels":["x","y"],"markings":"graph","range":[[-5,30],[-0.2,4.2]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.1],"step":[5,1]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":true},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":false},{"content":"Decrease the y-intercept of the line.","correct":false},{"content":"None of the above - the model is a good fit for the data."}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/19/b7/9920136168a9.json b/data/questions/19/b7/9920136168a9.json new file mode 100644 index 0000000000..82d10d8b85 --- /dev/null +++ b/data/questions/19/b7/9920136168a9.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(5,1)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,1]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/b8/1d75528ff221.json b/data/questions/19/b8/1d75528ff221.json new file mode 100644 index 0000000000..ba5b66d8d3 --- /dev/null +++ b/data/questions/19/b8/1d75528ff221.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ZAP}$ is rotated $-180^\\circ$ about the point $(-5,1)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5012f1a530dfb24e356b4a927cf9bcb459622144","width":425},"correct":{"coords":[[-8,-1],[-2,-1],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/be/4b499d7ece3e.json b/data/questions/19/be/4b499d7ece3e.json new file mode 100644 index 0000000000..64b6fe0864 --- /dev/null +++ b/data/questions/19/be/4b499d7ece3e.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = 2f(x)-2$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-3,-8],[3,4]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/c2/a52ffd959478.json b/data/questions/19/c2/a52ffd959478.json new file mode 100644 index 0000000000..e879e89133 --- /dev/null +++ b/data/questions/19/c2/a52ffd959478.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $3$ units in $t$ corresponds to an increase of $8$ units in $d$. \n\n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2.6666666666666665"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ťț","ďđ"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/c4/f4dca7406361.json b/data/questions/19/c4/f4dca7406361.json new file mode 100644 index 0000000000..12e179ea27 --- /dev/null +++ b/data/questions/19/c4/f4dca7406361.json @@ -0,0 +1 @@ +{"content":"crwdns2957604:0$10$crwdnd2957604:0$x$crwdne2957604:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-2],[2,-2],[4,6],[-6,6]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/ce/c401cc40165d.json b/data/questions/19/ce/c401cc40165d.json new file mode 100644 index 0000000000..4cbf9824fc --- /dev/null +++ b/data/questions/19/ce/c401cc40165d.json @@ -0,0 +1 @@ +{"content":"crwdns3462894:0$gcrwdnd3462894:0{1}crwdnd3462894:0{5}crwdne3462894:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-2],[0,-7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/cf/03a02a7096c5.json b/data/questions/19/cf/03a02a7096c5.json new file mode 100644 index 0000000000..9b4329e2f8 --- /dev/null +++ b/data/questions/19/cf/03a02a7096c5.json @@ -0,0 +1 @@ +{"content":"crwdns6420417:0$ycrwdnd6420417:0{x+2}crwdne6420417:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-1],[10,-1]],"coords":[[-3,5],[-2,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/cf/bd964e09e5c9.json b/data/questions/19/cf/bd964e09e5c9.json new file mode 100644 index 0000000000..a7353117c5 --- /dev/null +++ b/data/questions/19/cf/bd964e09e5c9.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 4|x-2|-6, ~~\\text{Domain}~~[-1,5]$\n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-1,6],[2,-6]],[[2,-6],[5,6]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/19/dc/5cd1f3a0f2d6.json b/data/questions/19/dc/5cd1f3a0f2d6.json new file mode 100644 index 0000000000..43d6160441 --- /dev/null +++ b/data/questions/19/dc/5cd1f3a0f2d6.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5ad1fec66d19a50b630023c5b9041e078b832855","width":425},"correct":{"coords":[[0,-3],[1,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/e6/093131eed09c.json b/data/questions/19/e6/093131eed09c.json new file mode 100644 index 0000000000..2589f6cb66 --- /dev/null +++ b/data/questions/19/e6/093131eed09c.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3abcd04df721db46e71a686e41078a63e77b6c80","width":400},"correct":{"coords":[[-4,1],[6,-1.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/19/f6/52cfb9cd059f.json b/data/questions/19/f6/52cfb9cd059f.json new file mode 100644 index 0000000000..7995d5e12d --- /dev/null +++ b/data/questions/19/f6/52cfb9cd059f.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{8}x^2-x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,2],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/0e/4717c133edf8.json b/data/questions/1a/0e/4717c133edf8.json new file mode 100644 index 0000000000..3b9ccd4ae7 --- /dev/null +++ b/data/questions/1a/0e/4717c133edf8.json @@ -0,0 +1 @@ +{"content":"crwdns3898363:0$ycrwdnd3898363:0{1}crwdnd3898363:0{3}crwdne3898363:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,5],[3,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/12/f49128f5aab3.json b/data/questions/1a/12/f49128f5aab3.json new file mode 100644 index 0000000000..6518855133 --- /dev/null +++ b/data/questions/1a/12/f49128f5aab3.json @@ -0,0 +1 @@ +{"content":"crwdns4070488:0$ycrwdnd4070488:0{3}crwdnd4070488:0{4}crwdne4070488:0","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,3],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/1b/210b676605c5.json b/data/questions/1a/1b/210b676605c5.json new file mode 100644 index 0000000000..470a8d20e3 --- /dev/null +++ b/data/questions/1a/1b/210b676605c5.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with side lengths $12$, $10$, and $10$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15.32960747877035,4.857843140337501],[9.385307705798532,12.899316898862562],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/25/be4ad1b244c1.json b/data/questions/1a/25/be4ad1b244c1.json new file mode 100644 index 0000000000..8568759697 --- /dev/null +++ b/data/questions/1a/25/be4ad1b244c1.json @@ -0,0 +1 @@ +{"content":"crwdns3381071:0{1600}crwdnd3381071:0{5625}crwdne3381071:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/99113c3dd51fbedfba2afbd4ea35ef28ce14e445","width":425},"correct":{"coords":[[0,85],[0,-85]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/35/cbb5ea0bb19f.json b/data/questions/1a/35/cbb5ea0bb19f.json new file mode 100644 index 0000000000..a8b6e5014b --- /dev/null +++ b/data/questions/1a/35/cbb5ea0bb19f.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{BFG}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/39/b9d7657aaf03.json b/data/questions/1a/39/b9d7657aaf03.json new file mode 100644 index 0000000000..e58b1b354a --- /dev/null +++ b/data/questions/1a/39/b9d7657aaf03.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units to the left and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6d68f4a08a77506cbc4bdea3920255e82b709438","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[3,-7],[-5,1],[-7,0]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/3c/a6a0fe5dffc4.json b/data/questions/1a/3c/a6a0fe5dffc4.json new file mode 100644 index 0000000000..96a7f923a7 --- /dev/null +++ b/data/questions/1a/3c/a6a0fe5dffc4.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=3x^3-3x^2-18x$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[3,0],[-2,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/47/b401e108634e.json b/data/questions/1a/47/b401e108634e.json new file mode 100644 index 0000000000..daf94aaaa1 --- /dev/null +++ b/data/questions/1a/47/b401e108634e.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nTimothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n| | |\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,5],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Km}$","$\\text{Minutes}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,22],[-4,55]],"gridStep":[2,5],"snapStep":[1,5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[5,10],[11,15],[18,20]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/1a/48/adcc0791fbcc.json b/data/questions/1a/48/adcc0791fbcc.json new file mode 100644 index 0000000000..ea97c7adbf --- /dev/null +++ b/data/questions/1a/48/adcc0791fbcc.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 4|x+6|-8, ~~\\text{Domain}~~[-8,-2]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-6"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-8"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-8,0],[-6,-8]],[[-2,8],[-6,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/1a/4b/9e2e2c621367.json b/data/questions/1a/4b/9e2e2c621367.json new file mode 100644 index 0000000000..a17ae84b8d --- /dev/null +++ b/data/questions/1a/4b/9e2e2c621367.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about the origin $(0,0)$ with a scale factor of $3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/49f97cd8b426879299a8aa88e1b58ffff078205a","width":425},"correct":{"coords":[[-6,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/55/55a30ebb84bd.json b/data/questions/1a/55/55a30ebb84bd.json new file mode 100644 index 0000000000..b1e4ab9ba0 --- /dev/null +++ b/data/questions/1a/55/55a30ebb84bd.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-5)^2+(y-2)^2=16$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,2],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/58/563c55bd2282.json b/data/questions/1a/58/563c55bd2282.json new file mode 100644 index 0000000000..f460caf6e2 --- /dev/null +++ b/data/questions/1a/58/563c55bd2282.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=(x+3)(x+7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-4],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/64/2bdf9eb5f642.json b/data/questions/1a/64/2bdf9eb5f642.json new file mode 100644 index 0000000000..4f19c3befe --- /dev/null +++ b/data/questions/1a/64/2bdf9eb5f642.json @@ -0,0 +1 @@ +{"content":"Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost of the job is in the chart below.\n\n |Day $1$|Day $2$|Day $3$\n-:|-:|-:|-:\nHours worked|$5$|$4$|$6$\nAmount paid|$\\$300$|$\\$240$|$\\$360$\n\n**What is the painter's *unit rate* of change of dollars with respect to time; that is, how much is the painter paid for *one* hour worked? **\n\nThe unit rate of change is [[☃ input-number 1]] dollars per hour.\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.**\n\n[[☃ interactive-graph 1]]\n\nGraph the relationship.\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"60"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,5],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,20]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/71/8aebf419f2e0.json b/data/questions/1a/71/8aebf419f2e0.json new file mode 100644 index 0000000000..fcbdc8c3b2 --- /dev/null +++ b/data/questions/1a/71/8aebf419f2e0.json @@ -0,0 +1 @@ +{"content":"crwdns4192628:0$60$crwdnd4192628:0$12$crwdnd4192628:0$c$crwdnd4192628:0$m$crwdnd4192628:0$mcrwdnd4192628:0$3$crwdnd4192628:0$5$crwdne4192628:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,24],[5,0]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["crwdns4203657:0{Sheets of cookies}crwdne4203657:0","crwdns4203651:0{Minutes remaining}crwdne4203651:0"],"markings":"graph","range":[[-1,10],[-1,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/74/1c8a6c2e98b5.json b/data/questions/1a/74/1c8a6c2e98b5.json new file mode 100644 index 0000000000..463c2dada8 --- /dev/null +++ b/data/questions/1a/74/1c8a6c2e98b5.json @@ -0,0 +1 @@ +{"content":"Graph the following inequality:\n\n$\\qquad 2x-y \\geq 8$ \n\n(\\Begin magical sandcastle widget)\n\n*Shade other side button* \n\n*Solid/dashed line button*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(5,-3)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false,"clue":"Be careful to shade the correct side!"}],"randomize":false,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1,1],[0,6]]}},"version":{"major":0,"minor":0}},"dropdown 1":{"type":"dropdown","graded":true,"options":{"placeholder":"","choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":0.5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/76/ebb775559f85.json b/data/questions/1a/76/ebb775559f85.json new file mode 100644 index 0000000000..3616078b26 --- /dev/null +++ b/data/questions/1a/76/ebb775559f85.json @@ -0,0 +1 @@ +{"content":"crwdns2975583:0crwdne2975583:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,9],[-9,7],[-9,4],[-6,1],[-3,5],[-4,9]],"numSides":"unlimited","showAngles":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/1a/78/2ec91ab930ed.json b/data/questions/1a/78/2ec91ab930ed.json new file mode 100644 index 0000000000..27bb1a371b --- /dev/null +++ b/data/questions/1a/78/2ec91ab930ed.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{5}x^2+2x-1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,4],[0,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/8a/312d2d0588c1.json b/data/questions/1a/8a/312d2d0588c1.json new file mode 100644 index 0000000000..7d90aef655 --- /dev/null +++ b/data/questions/1a/8a/312d2d0588c1.json @@ -0,0 +1 @@ +{"content":"**Construct a $70^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/534c542b655115da6ac73ac7602e42411cd9dce0.png":{"height":168,"width":158},"https://ka-perseus-images.s3.amazonaws.com/f553c121920ab21939847db6f513c6a8f87f04e7.png":{"height":387,"width":360}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.8247759450082897,-1.2389918760711316],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/ad/a148842a043b.json b/data/questions/1a/ad/a148842a043b.json new file mode 100644 index 0000000000..9cbd49e97c --- /dev/null +++ b/data/questions/1a/ad/a148842a043b.json @@ -0,0 +1 @@ +{"content":"crwdns6970256:0$zcrwdnd6970256:0{34}crwdnd6970256:0$z$crwdne6970256:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[5,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/b1/364180d7e145.json b/data/questions/1a/b1/364180d7e145.json new file mode 100644 index 0000000000..d4d3671215 --- /dev/null +++ b/data/questions/1a/b1/364180d7e145.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{3}{8}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{3}{8}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=3/8x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,3],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/d5/c1022a631443.json b/data/questions/1a/d5/c1022a631443.json new file mode 100644 index 0000000000..f01e5f42c6 --- /dev/null +++ b/data/questions/1a/d5/c1022a631443.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(7,0)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/d8/b10b713ed430.json b/data/questions/1a/d8/b10b713ed430.json new file mode 100644 index 0000000000..afba12cd9c --- /dev/null +++ b/data/questions/1a/d8/b10b713ed430.json @@ -0,0 +1 @@ +{"content":"Move the line segment so one endpoint is at $(0, 0)$ and the other is at $(1, 1)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-5,5],[-5,5]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","coords":[[[0,0],[1,1]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/db/8b10f4895afc.json b/data/questions/1a/db/8b10f4895afc.json new file mode 100644 index 0000000000..1f30f69892 --- /dev/null +++ b/data/questions/1a/db/8b10f4895afc.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $9$, Rule: add $3$\n\nPattern $y$: Starting number: $3$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$9$ | $3$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[9,3],[12,4],[15,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1a/e3/1a6dcbb7f322.json b/data/questions/1a/e3/1a6dcbb7f322.json new file mode 100644 index 0000000000..df2ffd14d1 --- /dev/null +++ b/data/questions/1a/e3/1a6dcbb7f322.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-19$|$23$|$7$|$23$|$-19$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/22f4591e46493a9f6d2fce669ab638efa8e90a87","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,-3],[5,-2]],[[-5,0],[5,1]],[[-5,-6],[5,4]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/1a/f5/c872a46b00e0.json b/data/questions/1a/f5/c872a46b00e0.json new file mode 100644 index 0000000000..1ca45f631a --- /dev/null +++ b/data/questions/1a/f5/c872a46b00e0.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 2|x-3|-6, ~~\\text{Domain}~~[-4,5]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-6"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[5,-2],[3,-6]],[[-4,8],[3,-6]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/1b/0e/431dae395787.json b/data/questions/1b/0e/431dae395787.json new file mode 100644 index 0000000000..6348525f1e --- /dev/null +++ b/data/questions/1b/0e/431dae395787.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about point $P$ with a scale factor of $2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4e4177bca44ef02031937fe3ed932f508051766f","width":400},"correct":{"coords":[[6,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/0f/65725b0fb975.json b/data/questions/1b/0f/65725b0fb975.json new file mode 100644 index 0000000000..93f2194b90 --- /dev/null +++ b/data/questions/1b/0f/65725b0fb975.json @@ -0,0 +1 @@ +{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d4536b813beac81e454ad8cdefcf02e9e73fcc56)\n\n**Which of the following expressions is equal to the rectangle's area?**\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d4536b813beac81e454ad8cdefcf02e9e73fcc56":{"height":425,"width":440}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$\\left\\lvert j - l\\right\\rvert \\cdot \\left\\lvert m - q\\right\\rvert$","correct":true},{"content":"$\\left\\lvert j - m\\right\\rvert \\cdot \\left\\lvert k - n\\right\\rvert$","correct":false},{"content":"$\\left\\lvert j - n\\right\\rvert \\cdot \\left\\lvert k - m\\right\\rvert$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/0f/e4429a224c7b.json b/data/questions/1b/0f/e4429a224c7b.json new file mode 100644 index 0000000000..7cb73f2f72 --- /dev/null +++ b/data/questions/1b/0f/e4429a224c7b.json @@ -0,0 +1 @@ +{"content":"crwdns6902074:0$fcrwdne6902074:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-4,-3],[-2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/15/3c4018ac95c5.json b/data/questions/1b/15/3c4018ac95c5.json new file mode 100644 index 0000000000..e6c59807d1 --- /dev/null +++ b/data/questions/1b/15/3c4018ac95c5.json @@ -0,0 +1 @@ +{"content":"One of the points that defines a certain quadrilateral is $(8,3)$. The quadrilateral has the following symmetries:\n\n* reflective symmetry over the line $y=-x+6$\n* reflective symmetry over the line $y=x$\n\n**Draw and classify the quadrilateral described above.** \n(Choose the most specific description.)\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/614a4e844cc009ab24e4910dda07c6a81500692d","width":400},"correct":{"coords":[[3,8],[8,3],[3,-2],[-2,3]],"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"वर्ग (Square)","correct":true},{"content":"आयत (Rectangle)","correct":false},{"content":"समचतुर्भुज (Rhombus)","correct":false},{"content":"समांतर चतुर्भुज (Parallelogram)","correct":false},{"content":"समलंब चतुर्भुज (Trapezoid)","correct":false},{"content":"Kite","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/1b/16/4d862a58b1f7.json b/data/questions/1b/16/4d862a58b1f7.json new file mode 100644 index 0000000000..432d453916 --- /dev/null +++ b/data/questions/1b/16/4d862a58b1f7.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}-1 & 0 \\\\ 4 & 2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}0 \\\\ 1\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/09fe346f76eaf928418d7d3b5e799a2131ebcb64","width":425},"correct":{"coords":[[[0,0],[0,2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/1a/9d128e69b0ba.json b/data/questions/1b/1a/9d128e69b0ba.json new file mode 100644 index 0000000000..74b65214a6 --- /dev/null +++ b/data/questions/1b/1a/9d128e69b0ba.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ee0aa0028cb30e9cb785d6a703e443c9da5d8430","width":430},"correct":{"coords":[[8,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/1d/8cdb56187c91.json b/data/questions/1b/1d/8cdb56187c91.json new file mode 100644 index 0000000000..9ade185835 --- /dev/null +++ b/data/questions/1b/1d/8cdb56187c91.json @@ -0,0 +1 @@ +{"content":"**Construct a $10^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/489d2f6dcbd3c6752a8a0460a1d0f51657ec11e2.png":{"height":197,"width":371},"https://ka-perseus-images.s3.amazonaws.com/a0978055414ef8a13fc5b22a76e83614cf19381f.png":{"height":78,"width":216}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.559354702894409,4.6648524807823755]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/27/3f2faf7204d2.json b/data/questions/1b/27/3f2faf7204d2.json new file mode 100644 index 0000000000..b2bcde8a57 --- /dev/null +++ b/data/questions/1b/27/3f2faf7204d2.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw an isosceles triangle with two $70^\\circ$ angles.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.538737563125787,2.7098296192522313],[5.082901227686044,9.463379541711511],[2.6230827941030186,2.711278984446311]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/30/7d8d7ddccae8.json b/data/questions/1b/30/7d8d7ddccae8.json new file mode 100644 index 0000000000..de46160cfe --- /dev/null +++ b/data/questions/1b/30/7d8d7ddccae8.json @@ -0,0 +1 @@ +{"content":"crwdns3077836:0$d$crwdnd3077836:0$t$crwdnd3077836:0$6$crwdnd3077836:0$t$crwdnd3077836:0$7$crwdnd3077836:0$d$crwdnd3077836:0$d$crwdnd3077836:0$t$crwdnd3077836:0$1$crwdnd3077836:0$t$crwdnd3077836:0$d$crwdne3077836:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.1666666666666667"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[6,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns3882320:0crwdne3882320:0","crwdns3882319:0crwdne3882319:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/31/dc3570ac53c1.json b/data/questions/1b/31/dc3570ac53c1.json new file mode 100644 index 0000000000..f835511617 --- /dev/null +++ b/data/questions/1b/31/dc3570ac53c1.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{5}{4}(x-1)(x+3)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,5],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/35/5593a507646e.json b/data/questions/1b/35/5593a507646e.json new file mode 100644 index 0000000000..a0fd2ed575 --- /dev/null +++ b/data/questions/1b/35/5593a507646e.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(0, 8\\dfrac12)$, $(-4,-9)$, and $(-6,5)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,5],[0,8.5],[-4,-9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/38/a033739411c8.json b/data/questions/1b/38/a033739411c8.json new file mode 100644 index 0000000000..c0ea291a5e --- /dev/null +++ b/data/questions/1b/38/a033739411c8.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local grocery store is shown below. Ice cream is located at the point $(-8,0)$. Sprinkles are located at the point $(-8,6)$.\n\n**Plot the ice cream and sprinkles on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far is the ice cream from the sprinkles?** \n[[☃ input-number 1]] units\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,0],[-8,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/49/928795c227bd.json b/data/questions/1b/49/928795c227bd.json new file mode 100644 index 0000000000..d2c169fdc2 --- /dev/null +++ b/data/questions/1b/49/928795c227bd.json @@ -0,0 +1 @@ +{"content":"crwdns3139197:0crwdne3139197:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,0],[2,-5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5},{"maxError":null,"message":"crwdns3881777:0crwdne3881777:0","simplify":"required","status":"wrong","strict":false,"value":-5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/4e/2d86f3ffe8d5.json b/data/questions/1b/4e/2d86f3ffe8d5.json new file mode 100644 index 0000000000..2f098c7130 --- /dev/null +++ b/data/questions/1b/4e/2d86f3ffe8d5.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y-8)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,8],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/4e/cbec194fcd5a.json b/data/questions/1b/4e/cbec194fcd5a.json new file mode 100644 index 0000000000..efa501b2de --- /dev/null +++ b/data/questions/1b/4e/cbec194fcd5a.json @@ -0,0 +1 @@ +{"content":"crwdns3295082:0{-}crwdnd3295082:0$29$crwdnd3295082:0$12$crwdnd3295082:0$24$crwdnd3295082:0$18$crwdnd3295082:0$1$crwdnd3295082:0$6$crwdnd3295082:0$26$crwdnd3295082:0$1$crwdnd3295082:0$7$crwdnd3295082:0$16$crwdne3295082:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[29,6],[12,26],[24,1],[18,7],[1,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["crwdns3295061:0{Right}crwdne3295061:0","crwdns3295060:0{Left}crwdne3295060:0"],"markings":"graph","range":[[-2,32],[-2,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/50/3912b1ed28ef.json b/data/questions/1b/50/3912b1ed28ef.json new file mode 100644 index 0000000000..20e8be6524 --- /dev/null +++ b/data/questions/1b/50/3912b1ed28ef.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f72f9bdc4e3cca3cf8b3cd3d6f699602b409c517","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-6,7],[-6,-5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/52/758fa5989192.json b/data/questions/1b/52/758fa5989192.json new file mode 100644 index 0000000000..fdf303df7c --- /dev/null +++ b/data/questions/1b/52/758fa5989192.json @@ -0,0 +1 @@ +{"content":"**Graph $x=-3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-3,3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/52/863c4762423e.json b/data/questions/1b/52/863c4762423e.json new file mode 100644 index 0000000000..df02bf581c --- /dev/null +++ b/data/questions/1b/52/863c4762423e.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad 9x+16y=72$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,4.5],[8,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/6c/3424276beb9b.json b/data/questions/1b/6c/3424276beb9b.json new file mode 100644 index 0000000000..c86f4e28be --- /dev/null +++ b/data/questions/1b/6c/3424276beb9b.json @@ -0,0 +1 @@ +{"content":"**Graph $x=-3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-3,3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/6f/d0aa34cc6b4c.json b/data/questions/1b/6f/d0aa34cc6b4c.json new file mode 100644 index 0000000000..317f72966b --- /dev/null +++ b/data/questions/1b/6f/d0aa34cc6b4c.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b28cea91201e2bf0f941c618adfebc212092273c","width":400},"correct":{"coords":[[4,-2],[4,2],[0,-1],[3,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/7f/df0bcc105364.json b/data/questions/1b/7f/df0bcc105364.json new file mode 100644 index 0000000000..c4899f0eed --- /dev/null +++ b/data/questions/1b/7f/df0bcc105364.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ELM}$ is rotated $-90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/971be79578e3693dd1d595ce2b7dcb6c2863862a","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","coords":[[7,-6],[-3,-7],[2,-3]],"numSides":3,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/86/52d5160c916c.json b/data/questions/1b/86/52d5160c916c.json new file mode 100644 index 0000000000..7d350393de --- /dev/null +++ b/data/questions/1b/86/52d5160c916c.json @@ -0,0 +1 @@ +{"content":"Hexagon $SHRIMP$ undergoes the translation $T_{(0,6)}$. \n\n**Draw the image of this translation using the interactive graph.**\n\n[[☃ interactive-graph 5]]\n\n","images":{},"widgets":{"interactive-graph 5":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4d29c6189dcc3d2e4a871c348515bea655c6b1e0","width":400},"correct":{"coords":[[2,2],[3,6],[8,4],[6,4],[4,2],[5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/8b/c7bdfa792ea6.json b/data/questions/1b/8b/c7bdfa792ea6.json new file mode 100644 index 0000000000..53113f449e --- /dev/null +++ b/data/questions/1b/8b/c7bdfa792ea6.json @@ -0,0 +1 @@ +{"content":"**Graph $y=3\\sin\\left(\\dfrac{1}{3}x\\right)+4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,4],[3,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/95/2fd08c078ffb.json b/data/questions/1b/95/2fd08c078ffb.json new file mode 100644 index 0000000000..6870b2b937 --- /dev/null +++ b/data/questions/1b/95/2fd08c078ffb.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -9+4i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-9,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/98/ab14feab9b9e.json b/data/questions/1b/98/ab14feab9b9e.json new file mode 100644 index 0000000000..5179144b1a --- /dev/null +++ b/data/questions/1b/98/ab14feab9b9e.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dc5b389c1ab3dfb10cde02bd5de49610c0eff488","width":430},"correct":{"coords":[[7,7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/9a/7e9d33e6578b.json b/data/questions/1b/9a/7e9d33e6578b.json new file mode 100644 index 0000000000..95d3478e8a --- /dev/null +++ b/data/questions/1b/9a/7e9d33e6578b.json @@ -0,0 +1 @@ +{"content":"crwdns3381066:0{144}crwdnd3381066:0{25}crwdne3381066:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/452e0c33142bec3e25ef7939c9f98ea1df1c2e54","width":425},"correct":{"coords":[[13,0],[-13,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/9c/de393d4cfed8.json b/data/questions/1b/9c/de393d4cfed8.json new file mode 100644 index 0000000000..eed77a5a05 --- /dev/null +++ b/data/questions/1b/9c/de393d4cfed8.json @@ -0,0 +1 @@ +{"content":"crwdns4128065:0$C$crwdnd4128065:0$P$crwdnd4128065:0$2$crwdne4128065:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4e4177bca44ef02031937fe3ed932f508051766f","width":400},"correct":{"coords":[[6,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/a9/516c2c6bac78.json b/data/questions/1b/a9/516c2c6bac78.json new file mode 100644 index 0000000000..789042431a --- /dev/null +++ b/data/questions/1b/a9/516c2c6bac78.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\sin\\left(\\dfrac{\\pi}{8}x\\right)+7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[0,7],[4,6]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/c0/810f1d022286.json b/data/questions/1b/c0/810f1d022286.json new file mode 100644 index 0000000000..00d10dc723 --- /dev/null +++ b/data/questions/1b/c0/810f1d022286.json @@ -0,0 +1 @@ +{"content":"$\\triangle{CAN}$ is reflected over the line $y=-\\dfrac{2}{3}x+2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 7]]","images":{},"widgets":{"interactive-graph 7":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3870b639dd93c132a6af75b487de911010cc8ae0","width":425},"correct":{"coords":[[-1,7],[8,1],[7,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/c3/2148030830c2.json b/data/questions/1b/c3/2148030830c2.json new file mode 100644 index 0000000000..ac14233f3e --- /dev/null +++ b/data/questions/1b/c3/2148030830c2.json @@ -0,0 +1 @@ +{"content":"Manuel just quit his job so he could start his own business mowing yards and plowing driveways. He earned $\\$10{,}000$ per year in his old job. Manuel wants to exceed the earnings from his old job by at least $\\$5000$ per year. He will earn $\\$25$ per hour spent mowing and $\\$50$ per hour spent plowing.\n\n**Write an *inequality* that represents the number of hours Manuel must spend mowing $(M)$ and plowing $(P)$ to achieve his yearly earnings goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $M$ on the horizontal axis and $P$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Manuel spends $100$ hours mowing $(M)$, which of the following numbers of hours spent plowing $(P)$ will meet or exceed his earnings goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"25M+50P>=15000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,300],[600,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[50,50],"labels":["M","P"],"markings":"graph","range":[[-75,700],[-20,350]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[25,25],"step":[100,50]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$100$","correct":false},{"content":"$150$","correct":false},{"content":"$175$","correct":false},{"content":"$225$","correct":false},{"content":"$250$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/c4/b5baf479241d.json b/data/questions/1b/c4/b5baf479241d.json new file mode 100644 index 0000000000..12b904ffbe --- /dev/null +++ b/data/questions/1b/c4/b5baf479241d.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/581838072681175938899ea0d1aec8a58f6a24b2","width":425},"correct":{"coords":[[0,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/cf/e538c58d066b.json b/data/questions/1b/cf/e538c58d066b.json new file mode 100644 index 0000000000..ae6c1d8113 --- /dev/null +++ b/data/questions/1b/cf/e538c58d066b.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक ऐसा त्रिभुज बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(-5, 0), (-5, 9), (0, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-5,0],[-5,9],[0,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/d5/4c363a907476.json b/data/questions/1b/d5/4c363a907476.json new file mode 100644 index 0000000000..84e77d3e9b --- /dev/null +++ b/data/questions/1b/d5/4c363a907476.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a rhombus with an obtuse angle at $(-4,-3)$, another vertex at $(4,-9)$, side length of $10$ units, and two sides parallel to the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,-9],[-4,-3],[-4,7],[4,1]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/1b/f2/afa3bc66740f.json b/data/questions/1b/f2/afa3bc66740f.json new file mode 100644 index 0000000000..b03a18dbf0 --- /dev/null +++ b/data/questions/1b/f2/afa3bc66740f.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=2\\ln(x+4)$ and let $g(x)=\\dfrac23x+1$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\,2\\ln(x+4)=\\dfrac23x+1$, where $x_1$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1],[0,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"Be careful to shade the correct side!","content":"Yes","correct":false},{"content":"No","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/24/8d/274d895dd0e1.json b/data/questions/24/8d/274d895dd0e1.json new file mode 100644 index 0000000000..c44eeb6cd0 --- /dev/null +++ b/data/questions/24/8d/274d895dd0e1.json @@ -0,0 +1 @@ +{"content":"**Graph $x+3y=6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,2],[6,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/93/eb2b352637d5.json b/data/questions/24/93/eb2b352637d5.json new file mode 100644 index 0000000000..d472803c37 --- /dev/null +++ b/data/questions/24/93/eb2b352637d5.json @@ -0,0 +1 @@ +{"content":"**Graph $y=5$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-3,5],[4,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/94/3c0327c1caaf.json b/data/questions/24/94/3c0327c1caaf.json new file mode 100644 index 0000000000..de27d17162 --- /dev/null +++ b/data/questions/24/94/3c0327c1caaf.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-7,-4)$ and has a slope of $-\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-7,-4],[-4,-6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/9c/03bc51a4e417.json b/data/questions/24/9c/03bc51a4e417.json new file mode 100644 index 0000000000..c818b9eff0 --- /dev/null +++ b/data/questions/24/9c/03bc51a4e417.json @@ -0,0 +1 @@ +{"content":"In a recent gum-chewing contest, Violet tried to blow the biggest blueberry-flavored bubble ever. She started with no gum in her mouth, and every $3$ seconds, she added $1$ piece of gum to form a huge bubble. On the graph below, the $x$-axis represents time (in seconds) and the $y$-axis represents pieces of gum in Violet's bubble. \n\n**Plot points to show how many pieces of gum were in Violet's bubble after $3$, $6$, and $9$ seconds**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,2],[9,3],[3,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/bc/ee0ffa7e9cf6.json b/data/questions/24/bc/ee0ffa7e9cf6.json new file mode 100644 index 0000000000..103cefa124 --- /dev/null +++ b/data/questions/24/bc/ee0ffa7e9cf6.json @@ -0,0 +1 @@ +{"content":"crwdns4115798:0$ABCD$crwdne4115798:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a6a512f996451dff3305296a69fe2a336a66dc0a","width":425},"correct":{"coords":[[6,-3],[1,-2],[-3,-2],[2,-5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/cd/e738679c5bbf.json b/data/questions/24/cd/e738679c5bbf.json new file mode 100644 index 0000000000..a999cd4cb5 --- /dev/null +++ b/data/questions/24/cd/e738679c5bbf.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y=-2x-7}$\n\n$\\qquad\\pink{3y-5x=12}$\n\n**Create a new equation by substituting $y$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"x=-3"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3b0630b854540f05c625a6fc399d36ce1f9c9c20.png","width":425},"correct":{"coords":[[-3,5],[-3,-7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/ce/55dd624ebf58.json b/data/questions/24/ce/55dd624ebf58.json new file mode 100644 index 0000000000..f6e7a7ad08 --- /dev/null +++ b/data/questions/24/ce/55dd624ebf58.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\cos\\left(\\dfrac{\\pi}{4}x+\\dfrac{\\pi}{2}\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[0,3],[-2,3.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/ce/96b9925f27bb.json b/data/questions/24/ce/96b9925f27bb.json new file mode 100644 index 0000000000..90b72e6e78 --- /dev/null +++ b/data/questions/24/ce/96b9925f27bb.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7360b7d63804f5773182e3d2f687f5a132efe69c","width":425},"correct":{"coords":[[-3,-2],[1,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/e1/e2312d940b8c.json b/data/questions/24/e1/e2312d940b8c.json new file mode 100644 index 0000000000..7c6acdefc4 --- /dev/null +++ b/data/questions/24/e1/e2312d940b8c.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the final point after reflecting point $A$ across the $x$-axis and then across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a16c9a571c62dbb4379f03fefedc9d68f70ad02","width":400},"correct":{"coords":[[-4,-4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/e4/a7a9a22fcb69.json b/data/questions/24/e4/a7a9a22fcb69.json new file mode 100644 index 0000000000..d8ff68ee79 --- /dev/null +++ b/data/questions/24/e4/a7a9a22fcb69.json @@ -0,0 +1 @@ +{"content":"Plot this graph at: [0,0],[-5,5],[5,5] \n\n [[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"markings":"graph","labels":["t","d"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"quadratic"},"correct":{"coords":[[0,0],[-5,5],[5,5]],"type":"quadratic"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/e7/8c95198036fa.json b/data/questions/24/e7/8c95198036fa.json new file mode 100644 index 0000000000..2a8ec1ac40 --- /dev/null +++ b/data/questions/24/e7/8c95198036fa.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-:|-:|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$3$|$1$|$2$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c7a57e7fa4207a6bffefcb44f24df2568adb3de","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,4]],[[-5,-6],[5,1]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/24/ed/156a38bf5052.json b/data/questions/24/ed/156a38bf5052.json new file mode 100644 index 0000000000..b602ee3816 --- /dev/null +++ b/data/questions/24/ed/156a38bf5052.json @@ -0,0 +1 @@ +{"content":"Consider this matrix transformation:\n\n$\\left[\\begin{array}{c}\n0 & -3\n\\\\\\\\\n-1 & -2\n\\end{array}\\right]$\n\nBelow is an interactive graph with the unit square graphed in it.\n\n**Draw the image of the unit square under this transformation.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e39c1c4aea2324861693fd34915606378a180911","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[0,-1],[-3,-3],[-3,-2],[0,0]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/24/f5/a65a87c83a70.json b/data/questions/24/f5/a65a87c83a70.json new file mode 100644 index 0000000000..55c7fb4acd --- /dev/null +++ b/data/questions/24/f5/a65a87c83a70.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/81ba0cd809b3b4eead16c147700619fb289ed1d1.png":{"height":229,"width":161},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["ṔṖóòíìńňťț","ṼṾáàĺľúùéè"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-5.75$","$-5\\dfrac12$","$-4\\dfrac14$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/05/35b7d62641d7.json b/data/questions/25/05/35b7d62641d7.json new file mode 100644 index 0000000000..b0cdfcb72d --- /dev/null +++ b/data/questions/25/05/35b7d62641d7.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=5(x+1)^2-3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-3],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/0b/f9d6c163545c.json b/data/questions/25/0b/f9d6c163545c.json new file mode 100644 index 0000000000..2584c59589 --- /dev/null +++ b/data/questions/25/0b/f9d6c163545c.json @@ -0,0 +1 @@ +{"content":"Mrs. Jacobs collected data about her students. The points show age and number of baby teeth lost by $6$ of her students.\n\nThe seventh student, Rob, is $2$ years older than Yui and has lost as many teeth as Takoda and Devora have combined.\n \n\n**Plot Rob's point on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6302f62c863bfc13face9bd80b71d87f10ad77d0","width":400},"correct":{"coords":[[12,16]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,14],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/0d/3008b05265b3.json b/data/questions/25/0d/3008b05265b3.json new file mode 100644 index 0000000000..3381982c3b --- /dev/null +++ b/data/questions/25/0d/3008b05265b3.json @@ -0,0 +1 @@ +{"content":"crwdns3077843:0$y$crwdnd3077843:0$x$crwdnd3077843:0$y$crwdnd3077843:0$x$crwdnd3077843:0{3}crwdnd3077843:0{8}crwdnd3077843:0$1$crwdnd3077843:0$x$crwdnd3077843:0{3}crwdnd3077843:0{8}crwdnd3077843:0$y$crwdne3077843:0","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=3/8x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,3],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/18/50f82f3e3689.json b/data/questions/25/18/50f82f3e3689.json new file mode 100644 index 0000000000..44868b77b5 --- /dev/null +++ b/data/questions/25/18/50f82f3e3689.json @@ -0,0 +1 @@ +{"content":"Max's Department Store receives stuffed bears in boxes that each contain $2$ stuffed bears.\n\n\n\n**Sketch a graph below that represents this relationship.**\n\n\n\n**Which of the following equations could be used to find the number of stuffed animals Max's Department Store receives, $y$, when they receive $3$ boxes?** \n\n[[☃ radio 1]]\n\n**Find $y$.**\n\n$y = $ [[☃ numeric-input 1]]\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-images.s3.amazonaws.com/ad576d51bec7f62583d5183843029c8ab9979bf5.png":{"height":382,"width":382}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\text{Boxes}","\\text{Bears}"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":null}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$\\dfrac{1}{2} = \\dfrac{3}{y}$","correct":true},{"content":"$\\dfrac{1}{2} = \\dfrac{y}{3}$"},{"content":"$\\dfrac{2}{1} = \\dfrac{y}{3}$","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/2f/0f11a0beafc8.json b/data/questions/25/2f/0f11a0beafc8.json new file mode 100644 index 0000000000..eae799a010 --- /dev/null +++ b/data/questions/25/2f/0f11a0beafc8.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{4}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ece847244ed5af68ee68772b45c2e501d3410bea","width":400},"correct":{"coords":[[6,-2],[6,0],[3,-2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/32/c26f1a4f98ba.json b/data/questions/25/32/c26f1a4f98ba.json new file mode 100644 index 0000000000..a72c3a547d --- /dev/null +++ b/data/questions/25/32/c26f1a4f98ba.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{4}{3}x+8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,8],[3,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/38/a2998fc99eaf.json b/data/questions/25/38/a2998fc99eaf.json new file mode 100644 index 0000000000..8b26698628 --- /dev/null +++ b/data/questions/25/38/a2998fc99eaf.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(3,4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/3b/d20e8b6e7738.json b/data/questions/25/3b/d20e8b6e7738.json new file mode 100644 index 0000000000..cf8c04e3a7 --- /dev/null +++ b/data/questions/25/3b/d20e8b6e7738.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ef62d679e72975b0407d973bb48da1cc7bb54d18","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,2],[1,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/45/4ee4b4137c31.json b/data/questions/25/45/4ee4b4137c31.json new file mode 100644 index 0000000000..512f924c10 --- /dev/null +++ b/data/questions/25/45/4ee4b4137c31.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-1,-3)$, and which has the point $(-7,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/4b/af1ef35edaab.json b/data/questions/25/4b/af1ef35edaab.json new file mode 100644 index 0000000000..65b5ec102c --- /dev/null +++ b/data/questions/25/4b/af1ef35edaab.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under the translation $(x,y)\\to(x-3,y+4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a849ff536c19c78369d9bd5c25293b4cf156fe15","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/57/199ab3b9af6b.json b/data/questions/25/57/199ab3b9af6b.json new file mode 100644 index 0000000000..3d382e5eef --- /dev/null +++ b/data/questions/25/57/199ab3b9af6b.json @@ -0,0 +1 @@ +{"content":"crwdns3474911:0crwdne3474911:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/5c/839365fd55c4.json b/data/questions/25/5c/839365fd55c4.json new file mode 100644 index 0000000000..08568fae87 --- /dev/null +++ b/data/questions/25/5c/839365fd55c4.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $5$, $12$, and $13.$**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.200000000000003,-2.4248711305964292],[-0.023446292190627105,9.869944907758159],[-0.7897936071363304,-2.1055597493690543]],"match":"similar","showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/64/3ae8cef7918b.json b/data/questions/25/64/3ae8cef7918b.json new file mode 100644 index 0000000000..e391e400ba --- /dev/null +++ b/data/questions/25/64/3ae8cef7918b.json @@ -0,0 +1 @@ +{"content":"Krista measured the height and petal length (in centimeters) of all the flowers in her garden. \n\n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: \n**Height $(\\text{cm})$** | $32.5$ | $15$ | $7.5$ | $27.5$ | $15$ | $32.5$ \n**Petal length $(\\text{cm})$**| $6.5$ | $4.5$ | $7$ | $9$ | $5.5$ | $3$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[5,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["$\\text{Height}$","$\\text{Petal length}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,42],[-1,11]],"gridStep":[5,1],"snapStep":[2.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[15,4.5],[15,5.5],[7.5,7],[32.5,6.5],[27.5,9],[32.5,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/6e/4bedf945cc5e.json b/data/questions/25/6e/4bedf945cc5e.json new file mode 100644 index 0000000000..2aac798d34 --- /dev/null +++ b/data/questions/25/6e/4bedf945cc5e.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $2$. Then add $5$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,5],[1,7],[2,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/74/eb9151ad8465.json b/data/questions/25/74/eb9151ad8465.json new file mode 100644 index 0000000000..7277f54844 --- /dev/null +++ b/data/questions/25/74/eb9151ad8465.json @@ -0,0 +1 @@ +{"content":"crwdns6902034:0$ycrwdnd6902034:0{1}crwdnd6902034:0{2}crwdne6902034:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[2,-1],[0,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/78/73c6ac4e9918.json b/data/questions/25/78/73c6ac4e9918.json new file mode 100644 index 0000000000..216b19913c --- /dev/null +++ b/data/questions/25/78/73c6ac4e9918.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6e834c3703876b88680734fb85b73bd56c6174e1","width":430},"correct":{"coords":[[-5.5,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/85/b64cca2abdfe.json b/data/questions/25/85/b64cca2abdfe.json new file mode 100644 index 0000000000..f96beba6ba --- /dev/null +++ b/data/questions/25/85/b64cca2abdfe.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +4y -60=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-2],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/94/64f70ecffb3f.json b/data/questions/25/94/64f70ecffb3f.json new file mode 100644 index 0000000000..8a7792f7d6 --- /dev/null +++ b/data/questions/25/94/64f70ecffb3f.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+2)^2+(y+1)^2=49$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,-1],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/94/ff0343bd589b.json b/data/questions/25/94/ff0343bd589b.json new file mode 100644 index 0000000000..912f590ca9 --- /dev/null +++ b/data/questions/25/94/ff0343bd589b.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(3,-6)$ and has a slope of $-\\dfrac12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,-6],[5,-7]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/9a/75f50b1a3114.json b/data/questions/25/9a/75f50b1a3114.json new file mode 100644 index 0000000000..b1b8e75210 --- /dev/null +++ b/data/questions/25/9a/75f50b1a3114.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bdd8f5bd87969b4c1b7eee52f3aeeebd3cc3478e","width":430},"correct":{"coords":[[6,-7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/ac/8c5f045ab5da.json b/data/questions/25/ac/8c5f045ab5da.json new file mode 100644 index 0000000000..b4a3cc56d8 --- /dev/null +++ b/data/questions/25/ac/8c5f045ab5da.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $f(x)=-\\dfrac{8}{7}(x+6)(x-1)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the function.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2.5,14],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-4,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":14}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/b0/1054ab6f67f5.json b/data/questions/25/b0/1054ab6f67f5.json new file mode 100644 index 0000000000..e0cbe75de2 --- /dev/null +++ b/data/questions/25/b0/1054ab6f67f5.json @@ -0,0 +1 @@ +{"content":"Plot the points $(3, 4)$, $(-1, -2)$, and $(5, 1)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[3,4],[-1,-2],[5,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/b0/ad27ca1d23da.json b/data/questions/25/b0/ad27ca1d23da.json new file mode 100644 index 0000000000..a39b158140 --- /dev/null +++ b/data/questions/25/b0/ad27ca1d23da.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-1,0.5)$ and has a radius of $3.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,0.5],"radius":3.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/c1/2b0b478334ca.json b/data/questions/25/c1/2b0b478334ca.json new file mode 100644 index 0000000000..d4de996861 --- /dev/null +++ b/data/questions/25/c1/2b0b478334ca.json @@ -0,0 +1 @@ +{"content":"crwdns6420641:0$ycrwdne6420641:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-4,-10],[-4,10]],"coords":[[5,-4],[-3,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/c2/6a72043b3d92.json b/data/questions/25/c2/6a72043b3d92.json new file mode 100644 index 0000000000..0557cd969f --- /dev/null +++ b/data/questions/25/c2/6a72043b3d92.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-3,2)$, and the upper-right coordinates are $(6, 2)$. The rectangle has a perimeter of $30$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[6,-4],[6,2],[-3,2],[-3,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/c2/cd8de52d7247.json b/data/questions/25/c2/cd8de52d7247.json new file mode 100644 index 0000000000..607f3adf3e --- /dev/null +++ b/data/questions/25/c2/cd8de52d7247.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ca7b4d1f97cbc67fc32f0dc96f71051db7f9d731","width":400},"correct":{"coords":[[-4,-6]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/c3/2db18d44ffaf.json b/data/questions/25/c3/2db18d44ffaf.json new file mode 100644 index 0000000000..4195b06c67 --- /dev/null +++ b/data/questions/25/c3/2db18d44ffaf.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4c98f5bf2b4f5ccbe5bc02503a543e427ac25e51","width":430},"correct":{"coords":[[-0.5,1.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/cf/8085e1b1de1e.json b/data/questions/25/cf/8085e1b1de1e.json new file mode 100644 index 0000000000..1b6b253184 --- /dev/null +++ b/data/questions/25/cf/8085e1b1de1e.json @@ -0,0 +1 @@ +{"content":"Graph the line $x = 5$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,0],[5,5]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/d5/f6b9a951afa8.json b/data/questions/25/d5/f6b9a951afa8.json new file mode 100644 index 0000000000..ea5ff4f49f --- /dev/null +++ b/data/questions/25/d5/f6b9a951afa8.json @@ -0,0 +1 @@ +{"content":"**Graph the following system of linear equations and determine the number of its solutions.**\n\n$\\qquad 18x+3y=21$\n\n$\\qquad y=-6x+7$\n\n[[☃ radio 1]]\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,7],[1,1]],[[1,1],[0,7]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":false},{"content":"No solutions","correct":false},{"content":"Infinitely many solutions","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/d8/87b02c7a3b70.json b/data/questions/25/d8/87b02c7a3b70.json new file mode 100644 index 0000000000..a3ca556c65 --- /dev/null +++ b/data/questions/25/d8/87b02c7a3b70.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $\\left(7\\dfrac12,-2\\right)$, $(-3,7)$, and $(2,0)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7.5,-2],[-3,7],[2,0]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/dc/2e7100a0bf65.json b/data/questions/25/dc/2e7100a0bf65.json new file mode 100644 index 0000000000..cfb93a00e0 --- /dev/null +++ b/data/questions/25/dc/2e7100a0bf65.json @@ -0,0 +1 @@ +{"content":"crwdns6412425:0$ABCD$crwdnd6412425:0$2$crwdnd6412425:0$3$crwdne6412425:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a19d38e107f52c35d0efd4689b090799e23a12b5","width":425},"correct":{"coords":[[0,0],[-3,6],[-3,0],[-6,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/25/ef/aaf725027a44.json b/data/questions/25/ef/aaf725027a44.json new file mode 100644 index 0000000000..2415c7f5c5 --- /dev/null +++ b/data/questions/25/ef/aaf725027a44.json @@ -0,0 +1 @@ +{"content":"crwdns3209066:0$R_crwdne3209066:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/b89e8eb7fadecaf50ef9abcc075a3fb5da3b28f5.png","width":425},"correct":{"coords":[[-9,-2],[-4,0],[-8,1]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/25/fe/cb6f2f5e77df.json b/data/questions/25/fe/cb6f2f5e77df.json new file mode 100644 index 0000000000..48a9eb87c6 --- /dev/null +++ b/data/questions/25/fe/cb6f2f5e77df.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/752cf457cbd5ffccb2083eeb8c2c95ce8b617a9a","width":425},"correct":{"coords":[[1,-3],[1,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/23/66819a923035.json b/data/questions/26/23/66819a923035.json new file mode 100644 index 0000000000..28c100e5c6 --- /dev/null +++ b/data/questions/26/23/66819a923035.json @@ -0,0 +1 @@ +{"content":"**Construct a $180^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/2a/c7b27ff7e89a.json b/data/questions/26/2a/c7b27ff7e89a.json new file mode 100644 index 0000000000..2f80aa7dea --- /dev/null +++ b/data/questions/26/2a/c7b27ff7e89a.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(1, 6.5), (-2, 2), (-3, -1), (-2, -3), (8, 0), (6, 5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6.5],[-2,2],[-3,-1],[-2,-3],[8,0],[6,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/2e/e1693f7f258e.json b/data/questions/26/2e/e1693f7f258e.json new file mode 100644 index 0000000000..41eedb1646 --- /dev/null +++ b/data/questions/26/2e/e1693f7f258e.json @@ -0,0 +1 @@ +{"content":"Last month, Emma was the top scorer in her local underwater basket-weaving tournament; she made $2$ baskets every $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents baskets completed.\n\n**Plot points to show how many baskets Emma created after $2$, $4$, and $8$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[8,4],[2,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/2f/980e37370d42.json b/data/questions/26/2f/980e37370d42.json new file mode 100644 index 0000000000..1e6cd59140 --- /dev/null +++ b/data/questions/26/2f/980e37370d42.json @@ -0,0 +1 @@ +{"content":"Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with side length $90\\text{ m}$.\n\n**Draw the city block such that $1$ unit on the grid below represents $30\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[2,6],[2,9],[-1,9],[-1,6]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/31/81e08afc9d49.json b/data/questions/26/31/81e08afc9d49.json new file mode 100644 index 0000000000..91f1e5863d --- /dev/null +++ b/data/questions/26/31/81e08afc9d49.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=5x^3+5x^2-30x$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[-3,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/31/c2fc110122e4.json b/data/questions/26/31/c2fc110122e4.json new file mode 100644 index 0000000000..a6f17f2992 --- /dev/null +++ b/data/questions/26/31/c2fc110122e4.json @@ -0,0 +1 @@ +{"content":"crwdns3399066:0$f$crwdnd3399066:0$a$crwdnd3399066:0$e$crwdnd3399066:0$f$crwdnd3399066:0$x$crwdnd3399066:0$a$crwdnd3399066:0$b$crwdnd3399066:0$c$crwdnd3399066:0$d$crwdnd3399066:0$e$crwdnd3399066:0$fcrwdnd3399066:0$-19$crwdnd3399066:0$23$crwdnd3399066:0$7$crwdnd3399066:0$23$crwdnd3399066:0$-19$crwdnd3399066:0$f$crwdnd3399066:0$f$crwdne3399066:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/22f4591e46493a9f6d2fce669ab638efa8e90a87","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,-3],[5,-2]],[[-5,0],[5,1]],[[-5,-6],[5,4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":false},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/26/55/130af8e66fd9.json b/data/questions/26/55/130af8e66fd9.json new file mode 100644 index 0000000000..ba9b233a56 --- /dev/null +++ b/data/questions/26/55/130af8e66fd9.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1,7)$, and the upper-right coordinates are $(4,7)$. The rectangle has an area of $20$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[4,3],[4,7],[-1,7],[-1,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/56/3f01b5864949.json b/data/questions/26/56/3f01b5864949.json new file mode 100644 index 0000000000..7d6b79e032 --- /dev/null +++ b/data/questions/26/56/3f01b5864949.json @@ -0,0 +1 @@ +{"content":"crwdns3354910:0$m$crwdnd3354910:0$z_1$crwdnd3354910:0$z_2$crwdne3354910:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9bd9dedf033e1aefcaaf191df17fcf9e237165fc","width":430},"correct":{"coords":[[-4,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/5d/6288129cf51c.json b/data/questions/26/5d/6288129cf51c.json new file mode 100644 index 0000000000..b45650d2cb --- /dev/null +++ b/data/questions/26/5d/6288129cf51c.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle GAR$ after a translation by $\\langle3,7\\rangle$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/31eb6c4f83e061ca7e28bb4382469cb4d682f7b4.png","width":425},"correct":{"coords":[[4,7],[0,4],[4,4]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/26/76/ffd0e5c209ba.json b/data/questions/26/76/ffd0e5c209ba.json new file mode 100644 index 0000000000..ba07dc9ede --- /dev/null +++ b/data/questions/26/76/ffd0e5c209ba.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a rhombus with an obtuse angle at $(-4,-3)$, another vertex at $(4,-9)$, side length of $10$ units, and two sides parallel to the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,-9],[-4,-3],[-4,7],[4,1]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/7e/a5f2d841f1f7.json b/data/questions/26/7e/a5f2d841f1f7.json new file mode 100644 index 0000000000..38a0e9bd0f --- /dev/null +++ b/data/questions/26/7e/a5f2d841f1f7.json @@ -0,0 +1 @@ +{"content":"[[☃ passage 1]]\n\n=====\n\n[[☃ group 1]]\n\n[[☃ group 2]]\n\n[[☃ group 3]]\n\n[[☃ group 4]]\n\n[[☃ group 5]]\n\n[[☃ group 6]]\n\n[[☃ group 7]]\n\n[[☃ group 8]]\n\n[[☃ group 9]]\n\n[[☃ group 10]]\n\n[[☃ group 11]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"group 1":{"graded":true,"options":{"content":"To make the paragraph most logical, sentence 2 should be placed\n\n[[☃ radio 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□□□□□□□□□.","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"passage 1":{"graded":true,"options":{"footnotes":"","passageText":"[□] □□ □□□□, □□.□ □□□□□□□ □□□□□□ □□ □□□ □□□□□□ □□□□□□, □□□□□□□ □□ □□□□□□□ □□ □□□ □□□□□□□□□□, □□□□ □□ □□□□□□, □□□ □□□□□□□ □□ □□□□ □□ □□□□ □□□□ □,□□□ □□□□□□ □□□□□□ □□□□□□. [□] □□□□□ □□□□□□□ □□ □ □□□□□□□ □□□□□□□. [□] □□□□□ □□□□□□□ □□□□□ □□□□□□ □□ □□□□□□□□□ □□□□□ □□ □□□□-□□□□□ □□□ □□□□□□□□□□□, □□□ □□□□ □□□□ □□□□□ □□□□□□□□ □□□□□□ □□ □□□□□□ □□□□□□? [□] □□□□□□□□□ □□ □□□□□□□□ □□□□□□□□□□ □□□□□□□, □□□□□□□—□□□□□□□□□□ □□□□ □□□□□□—□□□□□□□□ □□□□□□□□ □□□□□□□□ □□ □□□□□ □□□ □□□□□ □□□□□□. [[□]]\n \n□ □□□□ □□□□□ □□ □□□□□□’□ □□□□□□□□□□ □□ □□□□□□□□□□ □□□□□□□□ □□□ □□□□□ □□□□□ □□ □□ □□□□□ □□□□□□ □□ □□□□ □□□□ □□□ □□□□□□ [[□]] □□□□□□□ □□□□□□. □□□□□ □□□□ □□□□□□□□□□□ (□□□), □□□ □□□□□□□□ □□□ □□□□□□□□ □□ □□□□□ □□□□, □□□□□□□□ □□□□□□□□□□□□□□ □□□□ □□□□□□□□’ □□□□□□ □□□□□□□□□ □□□□□ □□□□□□□. □□□□ □□□□□□□□□□□ □□ □□□□□□□□□□□ □□□□□ □□□□ □□□ □□□□□□ □□□□□□□□□ [[□]] □□□□□□□ □□□□□□ □□□□□□□□□□□ □□□□□ □□□□□□□□□□ (□□□), □□□ □□ □□□ □□□□ □□□□□□ □□ □□□□□□ □□□ □□□□□□□□□□ □□ □□□□□□□□□□□□□□ [[□]] □□□□□□□□□ □ □□□□□ □□□□□□□ □□□□□□□□□□□ □□ □□□ □□□□ □□□□□.□□ □□□ □□□□□□□□□□□ □□□□□□□ □□□□ □□□□ □□□□□ □□ □□□□ □□□ □□□□□□□□’ □□□□□□□□□□ □□□□□□□□□□□□ □□□□□ □□□□ □□□□ □□□□□□□□. □□□□ □□□ □□ □ □□□□□□ □□ □□□□□ □□□□□□□’ □□□□□□□□ □□□□□□□□ □□ □□□□□□□□□ □□□ □□□□□□□.\n \n[[□]] □□□□□□□□ □□□□ □ □□□□ □□□□□ □□ □□□□□□□ □□□□ □□□□ □□□□ □□□□□□□□.□□ □□□□□□□ □□□□□□□□□□ □□□ □□□□□ □□□□□□□□ □□□□ □□ □□□ □□□□□ □□□ □□□□□□□□ [[□]] □□□□□□□□□□□□. □□□□□□□□□□ □□□□□□□ □□□□ □□□ □□□□□□□□ □□□□□□□□ □□ □□□□□□□□. □□□□□□□□, □ □□□□□□□□ □□□□□□□□ □□ □□□□□□ □□□ □□□ □□□□□□□□□ □□ □□□□□ □□□ □□□□□ □□□□□□□□, □□□□□□□□□ □□□□□ □□□□□ □□□□□□□. □□□□□□□□□, □□□□□□□□, □□□□□ □□□ □□□□□ □□□□□□□□□□ □□ □ □□□□□□□ □□ □□□□□□□□□ □□□□□□□, □□ □□□□□□□□□. □□ □ □□□□□ □□ □□□□□□ □□□□□□□ □□□□□□□□□□, □□□□□□□□□□□ □□□□□□□□ □□□ □□□□□□ □□□ □□□□□□ □□□□ □□□□□, □□□□ □□ □ □□□□□, □□ □□□□□□□□□□□□ □□ □□□□□□□□□ □□□□□□. □□□□□ □□□ □□□□ □□ □□□□□ □□□□□□□□ □□□ □□□□□□□ □□□□□□ □□ □□□□□□□□□. [[□]] □□□□□ □□□□ □□□ □□□□□□□□ □□□□ □□□□□□□, □□□□□□□□□□ □□□□ □□□□ □□□□□ □□□□□□□ □□ [[□]] □□□□ □□□□□□□□□ □□□ □□□□□ □□□□□□□ □□□□ □□□□□□□□□□ □□□ □□□□□□□ □□□□. □ □□□□□ □□□□ □□ □□□□ □□□ □□□□□□ □□□□□□□□ □□□□□□ □□ □□□□□□□□□□, □□□□□□□, □□□□□□□□ □□□ □□□□□□□□ □□ □□□□□□□□ □□□□□□□□□ □□□□ □□□□□□□□□□ □□□ □ □□□□ □□□□□ □□□□ □□□□□□ □ □□□□□. □□□□□ □□□□□□□ □□ □□□□□□□□ □□□□□□□□ □□□□□□□□ □□□□□□ □□□□□□ □□ □□□ □□□ □□ □□□□ □□□□, □□□ □□□□ □□□□ □□ □□□□□□ [[□]] □□□□□□□□□□□□□□ □□□□□□□□□ □□□□ □□□□□□□□ □□□□□□□□□□.□□\n \n[[□□]] □□□□ □□□ □□□□□□□ □□ □□□□□□□□□ □□□ □□□□□□□□□ □□□□ □□□□□□ □□ □ □□□□□□□□□ □□□□□, □□ □□□ □□□□□□□□□ □□ □□□□□□□□ □□□ □□□□□□□□□□ □□ □□□□□□□□□□ □□□□ □□□□□ □□□□□□ □□□ □□□□□□□□ [[□□]] □□□□□□□□□□□. □□□□□□□ □□□□□□□ □□□□□□□□ □□□□□□ □□ □□□□□□□ □□□□ □□□□□□ □□□ □□□□□ □□□□□ □□□□ □□ □ □□□□□.","passageTitle":"□□□□□□□□□ □□ □□□ □□□□□: □□□ □□□□□□ □□□□□□□□ □□ □□□□□□□","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/80/04629e970e86.json b/data/questions/26/80/04629e970e86.json new file mode 100644 index 0000000000..2c8a391a76 --- /dev/null +++ b/data/questions/26/80/04629e970e86.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(7, 6)$ and $(0, 6)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/9a/b4c79dcb726c.json b/data/questions/26/9a/b4c79dcb726c.json new file mode 100644 index 0000000000..5654c3b7f9 --- /dev/null +++ b/data/questions/26/9a/b4c79dcb726c.json @@ -0,0 +1 @@ +{"content":"crwdns6359213:0$ycrwdnd6359213:0$ycrwdne6359213:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9b46a2a967fc2d1bb7b22e610ba4449aee64d606","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/9c/059e1450526f.json b/data/questions/26/9c/059e1450526f.json new file mode 100644 index 0000000000..fc4af39696 --- /dev/null +++ b/data/questions/26/9c/059e1450526f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a reflection across the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f056f461d782f41c9f6fca38f6e2f3ace4140f70","width":425},"correct":{"coords":[[0,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/9f/8338118a64d5.json b/data/questions/26/9f/8338118a64d5.json new file mode 100644 index 0000000000..0f03d585ae --- /dev/null +++ b/data/questions/26/9f/8338118a64d5.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -\\dfrac{5}{6}x+1$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,1],[6,-4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/a1/c5622cd9ff51.json b/data/questions/26/a1/c5622cd9ff51.json new file mode 100644 index 0000000000..c2603fb0c5 --- /dev/null +++ b/data/questions/26/a1/c5622cd9ff51.json @@ -0,0 +1 @@ +{"content":"crwdns6544645:0crwdne6544645:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/88a960700092f6378f99cdb5ac8a35c600225667","width":400},"correct":{"coords":[[8,-4],[8,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/ac/46e225c64051.json b/data/questions/26/ac/46e225c64051.json new file mode 100644 index 0000000000..2835e1c425 --- /dev/null +++ b/data/questions/26/ac/46e225c64051.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c73d9429fe0629be339f4194f34884e234eb00f4","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,5],[5,2],[-5,-1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/b9/cfe138903fec.json b/data/questions/26/b9/cfe138903fec.json new file mode 100644 index 0000000000..b0eb60adb3 --- /dev/null +++ b/data/questions/26/b9/cfe138903fec.json @@ -0,0 +1 @@ +{"content":"Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with sides of length $100\\text{ m}$.\n\n**Draw the city block such that $1$ unit on the grid below represents $5\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"","scale":".16","bottom":"37","left":"32","width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-12,12],[-12,12]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","coords":[[10,-9],[10,11],[-10,11],[-10,-9]],"match":"congruent","numSides":4,"showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/cc/416400300866.json b/data/questions/26/cc/416400300866.json new file mode 100644 index 0000000000..ecea3d187a --- /dev/null +++ b/data/questions/26/cc/416400300866.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-3|+4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[3,4],[0,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/ec/1656fdd53e7f.json b/data/questions/26/ec/1656fdd53e7f.json new file mode 100644 index 0000000000..7d9b877689 --- /dev/null +++ b/data/questions/26/ec/1656fdd53e7f.json @@ -0,0 +1 @@ +{"content":"crwdns3462812:0$hcrwdnd3462812:0{1}crwdnd3462812:0{5}crwdne3462812:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,5],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/ed/f21ae0eccf76.json b/data/questions/26/ed/f21ae0eccf76.json new file mode 100644 index 0000000000..b3490599b9 --- /dev/null +++ b/data/questions/26/ed/f21ae0eccf76.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube with side length $3$. \n\n![3 by 3 by 3 cube](https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png)\n\n**Drag the corners of the square below to draw the shape of a horizontal slice through the cube.**\n\n[[☃ interactive-graph 1]] \n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png":{"width":400,"height":260}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,5],[-1,5]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","numSides":4,"coords":[[4,1],[4,4],[1,4],[1,1]],"match":"congruent","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/ef/6b800de54406.json b/data/questions/26/ef/6b800de54406.json new file mode 100644 index 0000000000..9bc374a01f --- /dev/null +++ b/data/questions/26/ef/6b800de54406.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about point $P$ with a scale factor of $2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4e4177bca44ef02031937fe3ed932f508051766f","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[6,-1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/f0/2d67ded49dcc.json b/data/questions/26/f0/2d67ded49dcc.json new file mode 100644 index 0000000000..503787074a --- /dev/null +++ b/data/questions/26/f0/2d67ded49dcc.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to locate their new home halfway between Fairview and Salem. Fairview is located at $(1.5,2)$ on the grid shown below. Salem is located at $(3.5,4)$. \n\n**Where should the shelter locate itself?** \n([[☃ input-number 1]],[[☃ input-number 2]])\n\n**Plot both towns and the shelter on the map.**\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3.5,4],[1.5,2],[2.5,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[0.5,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/26/ff/f9f8de09ae68.json b/data/questions/26/ff/f9f8de09ae68.json new file mode 100644 index 0000000000..f0c57f0de1 --- /dev/null +++ b/data/questions/26/ff/f9f8de09ae68.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y-5)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/03/9dc1c754c7c8.json b/data/questions/27/03/9dc1c754c7c8.json new file mode 100644 index 0000000000..2831862c25 --- /dev/null +++ b/data/questions/27/03/9dc1c754c7c8.json @@ -0,0 +1 @@ +{"content":"crwdns3077840:0$y$crwdnd3077840:0$x$crwdnd3077840:0$y$crwdnd3077840:0$x$crwdnd3077840:0$0.4.$crwdnd3077840:0$1$crwdnd3077840:0$x$crwdnd3077840:0$0.4$crwdnd3077840:0$y$crwdne3077840:0","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=0.4x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,2],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/04/07912a1214a2.json b/data/questions/27/04/07912a1214a2.json new file mode 100644 index 0000000000..284e506b0b --- /dev/null +++ b/data/questions/27/04/07912a1214a2.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{2}(x-3)(x-7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,2],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/0a/19befdbb588c.json b/data/questions/27/0a/19befdbb588c.json new file mode 100644 index 0000000000..4f67fbd5cf --- /dev/null +++ b/data/questions/27/0a/19befdbb588c.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ENT}$ is rotated $-360^\\circ$ about the point $(1,-5)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6f77ec93b66fcaf8c8a4075be81d88e85caead7c","width":425},"correct":{"coords":[[-4,-4],[-2,2],[3,1]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/12/a2da60a4f390.json b/data/questions/27/12/a2da60a4f390.json new file mode 100644 index 0000000000..483c786ad7 --- /dev/null +++ b/data/questions/27/12/a2da60a4f390.json @@ -0,0 +1 @@ +{"content":"[Q3] Consider the following trigonometric function:\n\n$\\qquad g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$\n\n**Graph $g(x)$ in the interactive widget.**\n\nhint: the function has a midline of $y = 4$, a period of $6\\pi$, a local maximum at $(\\dfrac52\\pi, 6)$, and a local minimum at $(-\\dfrac\\pi 2, 2)$.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[2,4],[5,6]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/17/a7e722dc70fa.json b/data/questions/27/17/a7e722dc70fa.json new file mode 100644 index 0000000000..f3e4caf1e5 --- /dev/null +++ b/data/questions/27/17/a7e722dc70fa.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nMandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n| | |\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,5],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Hours}$","$\\text{Earnings}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,6.5],[-5,55]],"gridStep":[0.5,5],"snapStep":[0.25,2.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[1,10],[2,20],[3,30]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/27/2a/53eb7dc806ef.json b/data/questions/27/2a/53eb7dc806ef.json new file mode 100644 index 0000000000..ce124ced50 --- /dev/null +++ b/data/questions/27/2a/53eb7dc806ef.json @@ -0,0 +1 @@ +{"content":"Vijay walks $4$ blocks east. Then he turns $90^\\circ$ left (counterclockwise) and walks $2$ blocks.\n\n**What direction does Vijay end up facing?**\n\n[[☃ radio 1]]\n\nVijay begins at the star. Each square represents $1$ block.\n\n**Place the point where Vijay ends.**\n[[☃ interactive-graph 1]] \n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/6828e6b1035f3905c52c4a4add96109677da4504)\n\n[Do you think this should be split into 2 items?]:","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6828e6b1035f3905c52c4a4add96109677da4504":{"height":170,"width":170},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9ffb413c84d77b7a6297cd29607c0f33a66b100":{"height":170,"width":170}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c5af0e94821f5919f7d23a73697d145a48e371cf","width":400},"correct":{"coords":[[4,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"ŃŇóòŕřťțĥȟ","correct":true},{"content":"ŚŜóòúùťțĥȟ","correct":false},{"content":"ÉÈáàśŝťț","correct":false,"isNoneOfTheAbove":false},{"content":"ẂẀéèśŝťț","correct":false,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/27/2d/bcfd12e25e20.json b/data/questions/27/2d/bcfd12e25e20.json new file mode 100644 index 0000000000..5d52d52e77 --- /dev/null +++ b/data/questions/27/2d/bcfd12e25e20.json @@ -0,0 +1 @@ +{"content":"crwdns3144125:0$FORT$crwdnd3144125:0$ycrwdnd3144125:0{1}crwdnd3144125:0{2}crwdne3144125:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/64a1fc4318ce6d32779ca555616f1f8be00bfae0","width":425},"correct":{"coords":[[7,-4],[3,7],[7,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/372593c3d5d80add927a46faf6dde84144f0b4f1","width":425},"correct":{"coords":[[-5,2],[-3,-4],[-8,-7],[1,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea484ceafccc9b239ef9dda71abf7ece1d4ffb92","width":425},"correct":{"coords":[[-2,-7],[5,-5],[3,2],[3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 7":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c4c060003d1e805c2ed442eaf9c7dbe3da8f78e","width":425},"correct":{"coords":[[-9,-3],[-5,-4],[9,1],[-4,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 8":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91bff50cb2ef573e2196866cf2ddc9c5675e4a0f","width":425},"correct":{"coords":[[-1,4],[4,9],[-5,7],[-8,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/2e/11ac3adaafc0.json b/data/questions/27/2e/11ac3adaafc0.json new file mode 100644 index 0000000000..5aef8555ae --- /dev/null +++ b/data/questions/27/2e/11ac3adaafc0.json @@ -0,0 +1 @@ +{"content":"**Construct a $90^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/187e403b057d06ed5994eb427f7a6ed140bf76f2.png":{"height":172,"width":172},"https://ka-perseus-images.s3.amazonaws.com/60b8fea2f9c36cc28d4b71f39ada0d288c40e11e.png":{"height":387,"width":359}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-0.5275737288297861],[0,-9],[-8.765495424367186,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/3e/2c99f5c84f12.json b/data/questions/27/3e/2c99f5c84f12.json new file mode 100644 index 0000000000..7ef06c3fda --- /dev/null +++ b/data/questions/27/3e/2c99f5c84f12.json @@ -0,0 +1 @@ +{"content":"crwdns3457582:0crwdne3457582:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,0],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/44/9189da3fdc4b.json b/data/questions/27/44/9189da3fdc4b.json new file mode 100644 index 0000000000..5ca9f4125f --- /dev/null +++ b/data/questions/27/44/9189da3fdc4b.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/907550ff8795740b91658fa407904f988563e7b7","width":400},"correct":{"coords":[[[5,0],[5,6]],[[5,0],[-1,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/48/228c4a524250.json b/data/questions/27/48/228c4a524250.json new file mode 100644 index 0000000000..840442b8fa --- /dev/null +++ b/data/questions/27/48/228c4a524250.json @@ -0,0 +1 @@ +{"content":"The following graph represents the largest amount of money Johannes can earn in a month for each day he cleans the house $(H)$ and mows the lawn $(L)$ :\n\n$\\qquad$ ![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0736ac55c4a64212dd7751ebf421395f433d4f12)\n\n\n\n**If Johannes cleans the house for $10$ days, for how many days should he mow the lawn to make the largest amount of money he can earn in a month?**\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0736ac55c4a64212dd7751ebf421395f433d4f12":{"height":325,"width":325}},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100m+4s\\le1000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"100M+4S\\le1000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"expression 2":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100m+4s\\le2000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"100M+4S\\le2000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,12],[20,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["H","L"],"markings":"graph","range":[[-1,25],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Johannes should mow the lawn for $6$ days.","correct":true},{"content":"Johannes should mow the lawn for $4$ days.","correct":false},{"content":"Johannes should mow the lawn for $2$ days.","correct":false,"isNoneOfTheAbove":false},{"content":"Johannes should mow the lawn for $8$ days.","correct":false,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/27/49/581b0a2dc552.json b/data/questions/27/49/581b0a2dc552.json new file mode 100644 index 0000000000..cd727ed778 --- /dev/null +++ b/data/questions/27/49/581b0a2dc552.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map quadrilateral $SORT$ onto the other quadrilateral below.**\n\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/17b81dddd0ef5f94861d2bdf1e46109ed5bea87f","width":425},"correct":{"coords":[[-3,-6],[-3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a07dcae6562b32314ebcb312c465bd6f5096f67e","width":425},"correct":{"coords":[[0,-3],[6,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/769f1c610008c8158dee2d92efde7024e2ab5902","width":425},"correct":{"coords":[[0,-2],[3,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/66/01e446688365.json b/data/questions/27/66/01e446688365.json new file mode 100644 index 0000000000..64a7ed5df4 --- /dev/null +++ b/data/questions/27/66/01e446688365.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin\\left(\\dfrac{\\pi}{2} x-\\pi\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[2,3],[3,8]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/83/9fbf79c24b7b.json b/data/questions/27/83/9fbf79c24b7b.json new file mode 100644 index 0000000000..70dcc36e6e --- /dev/null +++ b/data/questions/27/83/9fbf79c24b7b.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebd31f95085860bd1b7b6eea99775b7bed802169","width":430},"correct":{"coords":[[1,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/85/4688d4f05dd1.json b/data/questions/27/85/4688d4f05dd1.json new file mode 100644 index 0000000000..40e5f554a8 --- /dev/null +++ b/data/questions/27/85/4688d4f05dd1.json @@ -0,0 +1 @@ +{"content":"Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $25\\text{ m}$ and height $30\\text{ m}$.\n\n**Draw the garden such that $1$ unit on the grid below represents $5\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,-3],[-2,3],[-2,-3]],"match":"congruent","showSides":true,"type":"polygon"},"graph":{"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/8b/cc804a42494e.json b/data/questions/27/8b/cc804a42494e.json new file mode 100644 index 0000000000..abc1c22873 --- /dev/null +++ b/data/questions/27/8b/cc804a42494e.json @@ -0,0 +1 @@ +{"content":"crwdns5521040:0$Q$crwdnd5521040:0$4$crwdne5521040:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a96d3b202632c76e435d5271e691e7088a8975c","width":425},"correct":{"coords":[[-4,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/9f/4377316df83f.json b/data/questions/27/9f/4377316df83f.json new file mode 100644 index 0000000000..1bbc8a27ff --- /dev/null +++ b/data/questions/27/9f/4377316df83f.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=-4(x-2)^2+8.5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2,8.5],[0,-7.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":8.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/9f/db3689cee81d.json b/data/questions/27/9f/db3689cee81d.json new file mode 100644 index 0000000000..15000ac012 --- /dev/null +++ b/data/questions/27/9f/db3689cee81d.json @@ -0,0 +1 @@ +{"content":"crwdns4116736:0{EAR}crwdne4116736:0","images":{},"widgets":{"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c08b4c3169f1a6c081e6eaeb44eae2facb895f1e","width":425},"correct":{"coords":[[6,-4],[5,6],[2,-2]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/a3/d9f86bbd878b.json b/data/questions/27/a3/d9f86bbd878b.json new file mode 100644 index 0000000000..076c42a7e6 --- /dev/null +++ b/data/questions/27/a3/d9f86bbd878b.json @@ -0,0 +1 @@ +{"content":"Naomi lives at $2^{\\text{nd}}$ Avenue and $3^{\\text{rd}}$ Street, represented by the point $(2,3)$ on the map below. Her school is located at $4^{\\text{th}}$ Avenue and $10^{\\text{th}}$ Street, represented by $(4, 10)$ on the map. To get to school, she walks over to $4^{\\text{th}}$ Avenue and up to $10^{\\text{th}}$ Street.\n\n**Plot Naomi's house and her school on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far does Naomi walk to get to school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,3],[4,10]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/b5/3046de35f10c.json b/data/questions/27/b5/3046de35f10c.json new file mode 100644 index 0000000000..8af66160b7 --- /dev/null +++ b/data/questions/27/b5/3046de35f10c.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units left and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e376d0836392c8a6bf859b136de3e4ecb2986fcb","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-1],[1,5],[-3,7],[-4,3]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/b5/896606b843d6.json b/data/questions/27/b5/896606b843d6.json new file mode 100644 index 0000000000..1803adc919 --- /dev/null +++ b/data/questions/27/b5/896606b843d6.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to build its new location halfway between the towns of Springfield and Greenville. Springfield is located at $(10,3)$ on the map below. Greenville is located at $(10,11)$. \n\n**Plot Springfield, Greenville, and the new shelter on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the animal shelter build its new location?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[10,3],[10,7],[10,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/c3/d235f25bd9d2.json b/data/questions/27/c3/d235f25bd9d2.json new file mode 100644 index 0000000000..fcb9945bc3 --- /dev/null +++ b/data/questions/27/c3/d235f25bd9d2.json @@ -0,0 +1 @@ +{"content":"crwdns3354910:0$m$crwdnd3354910:0$z_1$crwdnd3354910:0$z_2$crwdne3354910:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4c98f5bf2b4f5ccbe5bc02503a543e427ac25e51","width":430},"correct":{"coords":[[-0.5,1.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/c5/92640db85cce.json b/data/questions/27/c5/92640db85cce.json new file mode 100644 index 0000000000..ef67ae3954 --- /dev/null +++ b/data/questions/27/c5/92640db85cce.json @@ -0,0 +1 @@ +{"content":"crwdns6419937:0$pcrwdnd6419937:0$x$crwdne6419937:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-1.5,0],[3,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/c7/2b63acadc32c.json b/data/questions/27/c7/2b63acadc32c.json new file mode 100644 index 0000000000..a34a5cc654 --- /dev/null +++ b/data/questions/27/c7/2b63acadc32c.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=x+5\n\\\\\\\\\ny=-\\dfrac{3}{4}x-2\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,-2],[-4,1]],[[0,5],[-2,3]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,0.5],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/d3/845cec6cd67e.json b/data/questions/27/d3/845cec6cd67e.json new file mode 100644 index 0000000000..c7a2339809 --- /dev/null +++ b/data/questions/27/d3/845cec6cd67e.json @@ -0,0 +1 @@ +{"content":"The table below shows data from a study on the relationship between the daily amount of water given to the Lafructus plant (in milliliters), and the lifetime plant growth (in centimeters). Suppose scientists used the line $y = 0.5x + 2$ to model growth as a function of water.\n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n****Would an exponential or quadratic model be a better fit for the data?**** [[☃ dropdown 1]] \n\n | | | || |||\n- | - | -\n**Daily water** |$0$ | $1$| $2$ | $3$ | $4$|$5$| $6$\n**Lifetime growth** | $0.5$ | $2$| $3$ | $4$| $4.5$|$5$|$5$ \n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] |[[☃ input-number 7]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-1.5},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-0.5},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"input-number 7":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-1.5],[1,-0.5],[2,0],[3,0.5],[4,0.5],[5,0.5],[6,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/27/db/e59ddea0a97d.json b/data/questions/27/db/e59ddea0a97d.json new file mode 100644 index 0000000000..bf285d1217 --- /dev/null +++ b/data/questions/27/db/e59ddea0a97d.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ को चतुर्भुज $A'B'C'D'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/41ee82653175d0a7cd8512587919d90184f83e69","width":425},"correct":{"coords":[[-4,-6],[-4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/ea/085ff657730c.json b/data/questions/27/ea/085ff657730c.json new file mode 100644 index 0000000000..3d57405e0c --- /dev/null +++ b/data/questions/27/ea/085ff657730c.json @@ -0,0 +1 @@ +{"content":"crwdns5538965:0$10$crwdnd5538965:0$y$crwdnd5538965:0$x$crwdnd5538965:0$3$crwdnd5538965:0$7$crwdne5538965:0","images":{},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=10x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,30],[7,70]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,11],[-1,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/ed/d34bd68ad08c.json b/data/questions/27/ed/d34bd68ad08c.json new file mode 100644 index 0000000000..4b6c5faeea --- /dev/null +++ b/data/questions/27/ed/d34bd68ad08c.json @@ -0,0 +1 @@ +{"content":"Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.\n\n ||||\n-:|-:|-:|-:\n|**Batch $1$**|**Batch $2$**|**Batch $3$**\nCups of sugar|$2$|$3$|$4$\nCups of flour|$4\\dfrac{1}{2}$|$6\\dfrac{3}{4}$|$9$\n\n**What is the unit rate of change of flour $(y)$ with respect to sugar $(x)$?** That is, how much flour corresponds to *one* cup of sugar?\n\nThe unit rate of change is [[☃ input-number 1]] .\n\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing cups of sugar, and the $y$-coordinate representing cups of flour.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2.25"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[4,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/27/f9/687ba9897ea3.json b/data/questions/27/f9/687ba9897ea3.json new file mode 100644 index 0000000000..f19c89c72a --- /dev/null +++ b/data/questions/27/f9/687ba9897ea3.json @@ -0,0 +1 @@ +{"content":"crwdns4075257:0$fcrwdnd4075257:0{1}crwdnd4075257:0{3}crwdne4075257:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,6],[1,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/13/73661febaf9a.json b/data/questions/28/13/73661febaf9a.json new file mode 100644 index 0000000000..ff61d164a8 --- /dev/null +++ b/data/questions/28/13/73661febaf9a.json @@ -0,0 +1 @@ +{"content":"crwdns3362585:0$fcrwdnd3362585:0$gcrwdnd3362585:0$ycrwdnd3362585:0$ycrwdnd3362585:0$x_1$crwdnd3362585:0$x_2$crwdnd3362585:0$x_1crwdnd3362585:0$x_1$crwdnd3362585:0{0.5}crwdne3362585:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[5,-8],[4,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd7d19f90bcc0ea5a681d47aa9b9f4eb4dcb650","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":6.182},{"maxError":0.5,"message":"crwdns3882553:0crwdne3882553:0","simplify":"required","status":"wrong","strict":false,"value":3.6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/16/f7f164ad1867.json b/data/questions/28/16/f7f164ad1867.json new file mode 100644 index 0000000000..12ccfa48d0 --- /dev/null +++ b/data/questions/28/16/f7f164ad1867.json @@ -0,0 +1 @@ +{"content":"**Graph $y=4\\cos\\left(\\dfrac{1}{5}x\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[5,2],[0,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/28/0a8d7305f1b4.json b/data/questions/28/28/0a8d7305f1b4.json new file mode 100644 index 0000000000..88911c70b7 --- /dev/null +++ b/data/questions/28/28/0a8d7305f1b4.json @@ -0,0 +1 @@ +{"content":"crwdns2988129:0crwdne2988129:0","images":{"https://ka-perseus-images.s3.amazonaws.com/8ba9a1c7fe79fdc1624d2769481c3ff6ad505501.png":{"height":79,"width":403}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/2e/5b2e9cea6058.json b/data/questions/28/2e/5b2e9cea6058.json new file mode 100644 index 0000000000..e55fe0dcd7 --- /dev/null +++ b/data/questions/28/2e/5b2e9cea6058.json @@ -0,0 +1 @@ +{"content":"**Graph $5x+3y=15$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,5],[3,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/32/6566e0888ef9.json b/data/questions/28/32/6566e0888ef9.json new file mode 100644 index 0000000000..950594b265 --- /dev/null +++ b/data/questions/28/32/6566e0888ef9.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(-5, 9), (0, 9), (8, 0), (8, -7), (0, -7), (-5, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,9],[0,9],[8,0],[8,-7],[0,-7],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/28/4d/c35f1d0cf193.json b/data/questions/28/4d/c35f1d0cf193.json new file mode 100644 index 0000000000..720379639a --- /dev/null +++ b/data/questions/28/4d/c35f1d0cf193.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-5,1)$ and has a radius of $4$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,1],"radius":4,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/53/12d94957c7ec.json b/data/questions/28/53/12d94957c7ec.json new file mode 100644 index 0000000000..1532554932 --- /dev/null +++ b/data/questions/28/53/12d94957c7ec.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+4)^2+(y-2)^2=36$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,2],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/54/bc334c332a2d.json b/data/questions/28/54/bc334c332a2d.json new file mode 100644 index 0000000000..fbb8a620cb --- /dev/null +++ b/data/questions/28/54/bc334c332a2d.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local disc golf course is shown below. The tee on the first hole is located at the point $(1,2)$. The hole is located at the point $(8,2)$.\n\n**Plot the tee and the hole on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far is the tee from the hole?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,2],[8,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/64/3b742e40ddf9.json b/data/questions/28/64/3b742e40ddf9.json new file mode 100644 index 0000000000..ff3ba1cdbe --- /dev/null +++ b/data/questions/28/64/3b742e40ddf9.json @@ -0,0 +1 @@ +{"content":"crwdns3077828:0$x$crwdnd3077828:0$0$crwdnd3077828:0$1$crwdnd3077828:0$2$crwdnd3077828:0$3$crwdnd3077828:0$4$crwdnd3077828:0$y$crwdnd3077828:0$0$crwdnd3077828:0$3$crwdnd3077828:0$6$crwdnd3077828:0$9$crwdnd3077828:0$12$crwdne3077828:0","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/6f/26b34e56dda3.json b/data/questions/28/6f/26b34e56dda3.json new file mode 100644 index 0000000000..b120a2738f --- /dev/null +++ b/data/questions/28/6f/26b34e56dda3.json @@ -0,0 +1 @@ +{"content":"crwdns3122083:0{A}crwdnd3122083:0{D}crwdnd3122083:0{B}crwdnd3122083:0{C}crwdne3122083:0","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":true},{"content":"crwdns2671924:0crwdne2671924:0","correct":false},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":false},{"content":"crwdns2671926:0crwdne2671926:0","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/2dcad382bef4cdbd86d157552f4625a8b5668b34.png","width":400},"box":[340,340],"correct":{"coords":[[[-7,7],[7,-7]],[[-7,-7],[7,7]]],"type":"linear-system"},"editableSettings":["graph","snap","image","measure"],"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/6f/376c4d754b1a.json b/data/questions/28/6f/376c4d754b1a.json new file mode 100644 index 0000000000..62bad05f06 --- /dev/null +++ b/data/questions/28/6f/376c4d754b1a.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle OAK$ after the rotation $R_{90^\\circ}$ about the point $(2,3)$.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/0683396cb2497c9341e282ed1d2c1fab1e746648.png","width":425},"correct":{"coords":[[8,8],[4,7],[8,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/28/8d/e9b205bd27cb.json b/data/questions/28/8d/e9b205bd27cb.json new file mode 100644 index 0000000000..dd39acb75b --- /dev/null +++ b/data/questions/28/8d/e9b205bd27cb.json @@ -0,0 +1 @@ +{"content":"Graph the following system of inequalities:\n\n$\\qquad y\\leq -2x+5$\n\n$\\qquad y < -2x-1$\n\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side buttons for both inequalities* \n\n*Solid/dashed line buttons for both inequalities*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(4,-6)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Yes","correct":false,"clue":"Be careful to shade the correct sides!"},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1,1],[0,6]]}},"version":{"major":0,"minor":0}},"dropdown 1":{"type":"dropdown","graded":true,"options":{"placeholder":"","choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":0.5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/99/959a9c4aa704.json b/data/questions/28/99/959a9c4aa704.json new file mode 100644 index 0000000000..4f8b14df17 --- /dev/null +++ b/data/questions/28/99/959a9c4aa704.json @@ -0,0 +1 @@ +{"content":"आलेख पर रेखा खींचे जो संपत्ति के साथ $d$ और $t$ में आनुपातिक संबंध दर्शाती है इस कारण $t$ की $0.2$ इकाई में वृद्धि $d$ की $1.8$ इकाई में हुई वृद्धि के समान हैI \n\n**$t$ के संबंध में $d$ की परिवर्तन की इकाई दर क्या है? ** (यह है कि, $t$ में परिवर्तन की $1$ इकाई $d$ में परिवर्तन की कितनी इकाई के समान होगी?)\n\n परिवर्तन की इकाई दर [[☃ input-number 1]] हैI \n\n** संबंधों का आलेख बनाएं I\n**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[1,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/9d/c2dc28b4f9d8.json b/data/questions/28/9d/c2dc28b4f9d8.json new file mode 100644 index 0000000000..b568eb4b4a --- /dev/null +++ b/data/questions/28/9d/c2dc28b4f9d8.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e8901a77c39d9c986e6cf364a7dab1fc7732568c","width":400},"correct":{"coords":[[6,4],[7,6],[5,5],[6,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/b0/34dfdc6ecfce.json b/data/questions/28/b0/34dfdc6ecfce.json new file mode 100644 index 0000000000..b035e838c1 --- /dev/null +++ b/data/questions/28/b0/34dfdc6ecfce.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/b8/07581b2c7d12.json b/data/questions/28/b8/07581b2c7d12.json new file mode 100644 index 0000000000..79816e4ce7 --- /dev/null +++ b/data/questions/28/b8/07581b2c7d12.json @@ -0,0 +1 @@ +{"content":"The ice cream store wants to build a new shop halfway between the towns of Riverside and Fairview. Riverside is located at $(2,4)$ on the map below. Fairview is located at $(12,4)$. \n\n**Plot Riverside, Fairview, and the new ice cream shop on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the ice cream store build its new shop?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7,4],[12,4],[2,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/bb/092f7873f6b8.json b/data/questions/28/bb/092f7873f6b8.json new file mode 100644 index 0000000000..44bb3a4ee2 --- /dev/null +++ b/data/questions/28/bb/092f7873f6b8.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=(x+3)(x+7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-4],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/ca/98964918601b.json b/data/questions/28/ca/98964918601b.json new file mode 100644 index 0000000000..10b6640c7d --- /dev/null +++ b/data/questions/28/ca/98964918601b.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $C$ and scale factor is $2$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/79a9b47e5708e71cf1a92f65fc31657efd585125","width":400},"correct":{"coords":[[6,7],[-4,5],[-2,-3]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/cf/3c53073f3e88.json b/data/questions/28/cf/3c53073f3e88.json new file mode 100644 index 0000000000..176425ea62 --- /dev/null +++ b/data/questions/28/cf/3c53073f3e88.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac12\\cdot2^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,0.5],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/d2/bba96dfbc65f.json b/data/questions/28/d2/bba96dfbc65f.json new file mode 100644 index 0000000000..1fc9bca01c --- /dev/null +++ b/data/questions/28/d2/bba96dfbc65f.json @@ -0,0 +1 @@ +{"content":"The $3$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n** Based only on these $3$ points, plot the $3$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/eb721c7f930abab072e25f0d829ef94aa4c1afa6.png","width":425},"correct":{"coords":[[0,1],[1,4],[2,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/d6/5beca085b5bc.json b/data/questions/28/d6/5beca085b5bc.json new file mode 100644 index 0000000000..cda39c1d4c --- /dev/null +++ b/data/questions/28/d6/5beca085b5bc.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{2y+3x=6}$\n\n$\\qquad\\pink{2y-x=4}$\n\n**Create a new equation by adding the equations together.** \n(Be sure to combine like terms.) \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"2y+x=5"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/99c351752d792789bdcb38dadb8a574b499a618a.png","width":425},"correct":{"coords":[[0,2.5],[5,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/da/45bde5f86c4c.json b/data/questions/28/da/45bde5f86c4c.json new file mode 100644 index 0000000000..734caa7bbf --- /dev/null +++ b/data/questions/28/da/45bde5f86c4c.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm","exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/28/e3/4c82b3a7d071.json b/data/questions/28/e3/4c82b3a7d071.json new file mode 100644 index 0000000000..96cbb0f9b9 --- /dev/null +++ b/data/questions/28/e3/4c82b3a7d071.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5df6bdcf77dc7662caff0c81d44ca682573edfe6","width":430},"correct":{"coords":[[8,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/09/543644b7a11b.json b/data/questions/29/09/543644b7a11b.json new file mode 100644 index 0000000000..d3ef128484 --- /dev/null +++ b/data/questions/29/09/543644b7a11b.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(4,3\\dfrac12)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(4,3\\dfrac12)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,3.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ḟíìŕřśŝťț ʠúùáàďđŕřáàńňťț ","correct":true},{"content":"ŚŜéèćĉóòńňďđ ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŤŢĥȟíìŕřďđ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"Ḟóòúùŕřťțĥȟ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/29/11/af1c6709e151.json b/data/questions/29/11/af1c6709e151.json new file mode 100644 index 0000000000..d1fb8931eb --- /dev/null +++ b/data/questions/29/11/af1c6709e151.json @@ -0,0 +1 @@ +{"content":"$\\triangle{EAR}$ is rotated $180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 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interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.391559601859943,4.176259253641232],[1.5475345091027917,8.854079910600609],[1.6306367270016793,4.093157035742345]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/23/0fb62cea3d16.json b/data/questions/29/23/0fb62cea3d16.json new file mode 100644 index 0000000000..e826bd9f51 --- /dev/null +++ b/data/questions/29/23/0fb62cea3d16.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f990914d45176dfe9659478f8fd4c0c87ae856ed","width":400},"correct":{"coords":[[2,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/27/707f3cf88950.json b/data/questions/29/27/707f3cf88950.json new file mode 100644 index 0000000000..e9d55491be --- /dev/null +++ b/data/questions/29/27/707f3cf88950.json @@ -0,0 +1 @@ +{"content":"Consider this number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/53b2a4225627f422983fa57766ca82a8c06fe7bd)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]] \n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/f324c87ca23fdee77861c6dd60ed53526a220aeb.png":{"height":230,"width":128},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53b2a4225627f422983fa57766ca82a8c06fe7bd":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 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diff --git a/data/questions/29/52/775853a40eae.json b/data/questions/29/52/775853a40eae.json new file mode 100644 index 0000000000..426d73a6c2 --- /dev/null +++ b/data/questions/29/52/775853a40eae.json @@ -0,0 +1 @@ +{"content":"Equations $R_1$ and $R_2$ form a system. Our goal is to show that a second system ($R_1$ and $R_3$) form a system with the same solutions.\n\n$\\quad$$R_1$$~~~\\rightarrow~~~$$ x + y = 5$ \n$\\quad$$R_2$$~~~\\rightarrow~~~$$ x - y = 1$ \n$\\quad$$R_3$$~~~\\rightarrow~~~$$\\underline{\\begin{align}R_1\\\\+2\\cdot R_2\\end{align}}$ \n$~~~~~~~~~~~~~~~~~~~~$[[☃ expression 1]]\n\n**What is $R_3$? Write your equation in terms of $x$ and $y$.** \n\n\n**Graph $R_3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":""},"type":"expression","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/55/d63fd854277d.json b/data/questions/29/55/d63fd854277d.json new file mode 100644 index 0000000000..62e3332681 --- /dev/null +++ b/data/questions/29/55/d63fd854277d.json @@ -0,0 +1 @@ +{"content":"You built a water balloon launcher and can use it to launch $4$ balloons per minute. You have a bucket filled with $40$ filled water balloons. In the graph below, $m$ represents the minutes you have been launching water balloons, and $b$ represents the number of water balloons remaining in the bucket to be launched.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$b = 40-4m$\n\n**Plot points on the graph that show the number of water balloons remaining in the bucket if you have been launching balloons for $5$ minutes and $9$ minutes.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,20],[9,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\ťțéèẍẋťț{ḾṀíìńňúùťțéèśŝ}","\\ťțéèẍẋťț{ɃḂáàĺľĺľóòóòńňśŝ 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1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[-2,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/7f/de2e309c7178.json b/data/questions/29/7f/de2e309c7178.json new file mode 100644 index 0000000000..40d4286b93 --- /dev/null +++ b/data/questions/29/7f/de2e309c7178.json @@ -0,0 +1 @@ +{"content":"\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/54306359ea6fba2e28c3ebbc14570bf60643ee5d)\n\n**Which of the following expressions is equal to the rectangle's area?**\n\n[[☃ radio 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- d\\right\\rvert$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/87/49c09fb1ad3e.json b/data/questions/29/87/49c09fb1ad3e.json new file mode 100644 index 0000000000..29d72691db --- /dev/null +++ b/data/questions/29/87/49c09fb1ad3e.json @@ -0,0 +1 @@ +{"content":"crwdns3399069:0$f$crwdnd3399069:0$a$crwdnd3399069:0$e$crwdnd3399069:0$f$crwdnd3399069:0$x$crwdnd3399069:0$a$crwdnd3399069:0$b$crwdnd3399069:0$c$crwdnd3399069:0$d$crwdnd3399069:0$e$crwdnd3399069:0$fcrwdnd3399069:0$1$crwdnd3399069:0$2$crwdnd3399069:0$2$crwdnd3399069:0$3$crwdnd3399069:0$4$crwdnd3399069:0$f$crwdnd3399069:0$f$crwdne3399069:0","images":{},"widgets":{"interactive-graph 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2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":false},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/29/90/8c479f4912af.json b/data/questions/29/90/8c479f4912af.json new file mode 100644 index 0000000000..32c07967ac --- /dev/null +++ b/data/questions/29/90/8c479f4912af.json @@ -0,0 +1 @@ +{"content":"$\\triangle{RUN}$ is rotated $-90^\\circ$ about the point $(-2,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 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1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/23df4f87482e2f5db242cc1ac76660e7b75d0e10.png":{"height":262,"width":376},"https://ka-perseus-images.s3.amazonaws.com/923974534426742fb561e87626d244f8d102a46d.png":{"height":253,"width":222}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5.103683495345542,-2.9176668589581762],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/a3/0a6d24e2188a.json b/data/questions/29/a3/0a6d24e2188a.json new file mode 100644 index 0000000000..10328738ea --- /dev/null +++ b/data/questions/29/a3/0a6d24e2188a.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units to the right and $4$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0edeb7c2c589581214eb32d2c0c167277eae252b","width":425},"correct":{"coords":[[5,-7],[6,-2],[3,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/a9/a11a4967bfbf.json b/data/questions/29/a9/a11a4967bfbf.json new file mode 100644 index 0000000000..0951cbd025 --- /dev/null +++ b/data/questions/29/a9/a11a4967bfbf.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& 21x+7y=42\n\\\\\\\\\n& -5x+5y=10\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,6],[2,0]],[[0,2],[-2,0]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"□□□□□ □□□□□□","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"□□□□□ □□□□□□","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/aa/ec6cc794cc6a.json b/data/questions/29/aa/ec6cc794cc6a.json new file mode 100644 index 0000000000..ccda955c9b --- /dev/null +++ b/data/questions/29/aa/ec6cc794cc6a.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(-1, 7\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-1,7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/ab/e5589258000d.json b/data/questions/29/ab/e5589258000d.json new file mode 100644 index 0000000000..85bc17b161 --- /dev/null +++ b/data/questions/29/ab/e5589258000d.json @@ -0,0 +1 @@ +{"content":"[Q1] Draw a circle with radius $0.5$, centered at $(3, 4)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[3,4],"radius":0.5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/b9/a6095e41a802.json b/data/questions/29/b9/a6095e41a802.json new file mode 100644 index 0000000000..c6e636f967 --- /dev/null +++ b/data/questions/29/b9/a6095e41a802.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd58950fe8fbd8112b974a3c7a9c027cb131fc5e","width":425},"correct":{"coords":[[6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/dc/67d174212c26.json b/data/questions/29/dc/67d174212c26.json new file mode 100644 index 0000000000..ad8ffc3d19 --- /dev/null +++ b/data/questions/29/dc/67d174212c26.json @@ -0,0 +1 @@ +{"content":"The bowling center wants to build its new location halfway between the towns of Bristol and Madison. Bristol is located at $(1,8)$ on the map below. Madison is located at $(9,8)$. \n\n**Plot Bristol, Madison, and the new bowling center on the map.**\n\n[[☃ interactive-graph 1]] \n\n **At what coordinates should the bowling center build its new location? ** \n\n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,8],[9,8],[1,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/e3/99a3bb1c0616.json b/data/questions/29/e3/99a3bb1c0616.json new file mode 100644 index 0000000000..cef4c04a37 --- /dev/null +++ b/data/questions/29/e3/99a3bb1c0616.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-8,7)$ and $(5,7)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,7],[5,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"□□□□□□□□ □□□□ □□□□□□□□ □□□□□□ □□□□□□ □□ □□□□□□□□.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/e7/e70c7633fdb8.json b/data/questions/29/e7/e70c7633fdb8.json new file mode 100644 index 0000000000..6ae4dfb5e3 --- /dev/null +++ b/data/questions/29/e7/e70c7633fdb8.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{y^2}{16}-\\dfrac{x^2}{9}=1$**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7e40cda7920abb7040ac2162e6d6a6f646e45fc9","width":425},"correct":{"coords":[[0,5],[0,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/ec/c146689fc88f.json b/data/questions/29/ec/c146689fc88f.json new file mode 100644 index 0000000000..d338221a3f --- /dev/null +++ b/data/questions/29/ec/c146689fc88f.json @@ -0,0 +1 @@ +{"content":"crwdns3457597:0$(x-5)crwdne3457597:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,2],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/ef/74656fa8aa07.json b/data/questions/29/ef/74656fa8aa07.json new file mode 100644 index 0000000000..500b4114a6 --- /dev/null +++ b/data/questions/29/ef/74656fa8aa07.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n\n=====\n\nThe lines $f$ and $g$ are graphed at left in the $xy$-plane. Line $g$ can be written as the equation $y = ax + b$, where $a$ and $b$ are constants. Which of the following equations represents line $f$?\n\n[[☃ radio 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"graded":true,"options":{"alt":"This graph contains two lines, f and g, in the 'xy'-plane. f goes through the points negative 1 comma 5 and 9 comma negative 2. g goes through the points negative 1 comma negative 5 and 9 comma 2. The two lines cross on the x axis between 6 and 7.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"title":""},"type":"image","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"This equation represents a line with the same slope as the original.","content":"$y = ax - b$","correct":false},{"clue":"This equation represents a line with the same $y$-intercept as the original.","content":"$y = -ax + b$","correct":false},{"content":"$-y = ax + b$","correct":true},{"clue":"This equation represents a line that has slope $\\dfrac 1a$ . This has the same sign as $a$, but the two lines given have slopes that are opposite in sign.","content":"$x = ay + b$","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/29/f2/4ebcc62e36d7.json b/data/questions/29/f2/4ebcc62e36d7.json new file mode 100644 index 0000000000..47f92e197c --- /dev/null +++ b/data/questions/29/f2/4ebcc62e36d7.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a trapezoid with right angles at $(0, -7)$ and $(8, -7)$, another vertex at $(8, 0)$, and a vertical base of $16$ units.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-7],[8,-7],[8,0],[0,9]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/f5/d1faebb887d3.json b/data/questions/29/f5/d1faebb887d3.json new file mode 100644 index 0000000000..5f5faaca65 --- /dev/null +++ b/data/questions/29/f5/d1faebb887d3.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3-x^2-8x+4$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[-2,0],[0.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/29/fe/437c7f0c8e9e.json b/data/questions/29/fe/437c7f0c8e9e.json new file mode 100644 index 0000000000..3a7be94e61 --- /dev/null +++ b/data/questions/29/fe/437c7f0c8e9e.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y+7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[0,-7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2a/1f/d3e88d5d6a9b.json b/data/questions/2a/1f/d3e88d5d6a9b.json new file mode 100644 index 0000000000..ecb2535c55 --- /dev/null +++ b/data/questions/2a/1f/d3e88d5d6a9b.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{CD}$ is rotated $-180^\\circ$ about the point $(3,0)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/669509f133e4a77531d2db92c9769d07b20962e9","width":425},"correct":{"coords":[[[9,6],[5,4]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2a/27/ab77f65d4d51.json b/data/questions/2a/27/ab77f65d4d51.json new file mode 100644 index 0000000000..03f9f05d68 --- /dev/null +++ b/data/questions/2a/27/ab77f65d4d51.json @@ -0,0 +1 @@ +{"content":"The $4$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n**Based only on these $4$ points, plot the $4$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/86d4028e34698417f5f325ef4062585be7f1733a.png","width":425},"correct":{"coords":[[0,1],[1,3],[2,9],[3,27]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["□","□"],"markings":"none","range":[[-6,29],[-6,29]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2a/30/8e19cf42e273.json b/data/questions/2a/30/8e19cf42e273.json new file mode 100644 index 0000000000..c90fb92f6e --- /dev/null +++ b/data/questions/2a/30/8e19cf42e273.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-5,1)$, and which has the point $(-2,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,1],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2a/3a/3ef460a7d0f3.json b/data/questions/2a/3a/3ef460a7d0f3.json new file mode 100644 index 0000000000..10a79aba32 --- /dev/null +++ b/data/questions/2a/3a/3ef460a7d0f3.json @@ -0,0 +1 @@ +{"content":"crwdns6412423:0$ABCD$crwdnd6412423:0$1$crwdnd6412423:0$4$crwdne6412423:0","images":{},"widgets":{"interactive-graph 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दिए गए आलेख पर क्लिक करके एक ऐसा पंचभुज (pentagon) बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−7.5, 0), (0,6.5), (5.5,5.5), (6.5,0), (0,-4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5.5,5.5],[6.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/2a/cb/779a6fb8331a.json b/data/questions/2a/cb/779a6fb8331a.json new file mode 100644 index 0000000000..14c7a937eb --- /dev/null +++ b/data/questions/2a/cb/779a6fb8331a.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(-8,-4)$ and $(-3,8)$, and a base $10$ units long that is parallel to the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,-4],[-3,8],[2,-4]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2a/d3/594760b1ffc2.json b/data/questions/2a/d3/594760b1ffc2.json new file mode 100644 index 0000000000..37148332af --- /dev/null +++ b/data/questions/2a/d3/594760b1ffc2.json @@ -0,0 +1 @@ +{"content":"**Use the line segments to connect all possible pairs of the points $\\text{A}$, $\\text{B}$, $\\text{C}$, and $\\text{D}$. Then complete the statement below. **\n\n[[☃ interactive-graph 1]]\n \nThese are line segments because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].\n \n ","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":false},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":false},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":true},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":false},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/3e234a6d2f03b3543d78027d53cb15f5bb4bbf55.png","width":400},"correct":{"coords":[[[0,6],[6,-6]],[[0,6],[-6,-6]],[[0,6],[0,-1]],[[-6,-6],[0,-1]],[[0,-1],[6,-6]],[[-6,-6],[6,-6]]],"numSegments":6,"type":"segment"},"graph":{"numSegments":6,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2a/fc/cb879804a592.json b/data/questions/2a/fc/cb879804a592.json new file mode 100644 index 0000000000..594ee69dea --- /dev/null +++ b/data/questions/2a/fc/cb879804a592.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle OAK$ after the rotation $R_{90^\\circ}$ about the point $(2,3)$.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/0683396cb2497c9341e282ed1d2c1fab1e746648.png","width":425},"correct":{"coords":[[8,8],[4,7],[8,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/2b/05/c7a6b17bf1f7.json b/data/questions/2b/05/c7a6b17bf1f7.json new file mode 100644 index 0000000000..763300df7d --- /dev/null +++ b/data/questions/2b/05/c7a6b17bf1f7.json @@ -0,0 +1 @@ +{"content":"Athletes competed for medals in different track and field events at the $2012$ Summer Olympics in London. The table below shows how many gold and silver medals were won by a sample of nations. \n \n**Plot the data in a scatter plot.** \n \n| USA | Russia | Jamaica | Great Britain | Ethiopia | Kenya\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Gold** | $9$ | $8$ | $4$ | $4$ | $3$ | $2$\n**Silver** | $13$ | $4$ | $4$ | $1$ | $1$ | $4$ \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[9,13],[8,4],[4,4],[4,1],[3,1],[2,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["\\□□□□{□□□□}","\\□□□□{□□□□□□}"],"markings":"graph","range":[[-1,10],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/0c/c5cdd332e794.json b/data/questions/2b/0c/c5cdd332e794.json new file mode 100644 index 0000000000..1c710f876e --- /dev/null +++ b/data/questions/2b/0c/c5cdd332e794.json @@ -0,0 +1 @@ +{"content":"**Breaking of glass can be classified into which type of change?**\n\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Slow change","correct":false},{"content":"Fast change","correct":true,"clue":"Breaking of glass is a fast change because it happens suddenly and quickly."},{"isNoneOfTheAbove":false,"content":"Reversible change","correct":false,"clue":"Breaking of glass is not a reversible change; once the glass is broken, it cannot be returned to its original state."}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"video 1":{"options":{"location":""},"type":"video","version":{"major":0,"minor":0}},"explanation 1":{"options":{"showPrompt":"Explain","hidePrompt":"Hide explanation","explanation":"explanation goes here\n\nmore explanation","widgets":{}},"type":"explanation","version":{"major":0,"minor":0}},"transformer 1":{"options":{"starting":{"shape":{"type":["polygon-3"],"coords":[[2,2],[-5,6],[7,2]],"options":[{}]},"transformations":[]},"graphMode":"interactive","listMode":"dynamic","tools":{"translation":{"enabled":true,"required":false,"constraints":{}},"rotation":{"enabled":true,"required":false,"constraints":{"fixed":false},"coord":[1,6]},"reflection":{"enabled":true,"required":false,"constraints":{"fixed":false},"coords":[[2,-4],[2,2]]},"dilation":{"enabled":true,"required":false,"constraints":{"fixed":false},"coord":[6,6]}},"drawSolutionShape":true,"gradeEmpty":false,"graph":{"range":[[-10,10],[-10,10]],"step":[1,1],"markings":"grid","labels":["x","y"],"backgroundImage":{"url":null},"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"gridStep":[1,1],"snapStep":[0.5,0.5]},"version":1.2,"correct":{"transformations":[],"shape":{"type":["polygon-3"],"coords":[[2,2],[2,6],[7,2]],"options":[{}]}}},"type":"transformer","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"matrix 1":{"options":{"matrixBoardSize":[3,3],"answers":[[]],"prefix":"","suffix":"","cursorPosition":[0,0]},"type":"matrix","version":{"major":0,"minor":0}},"measurer 1":{"options":{"box":[480,480],"image":{},"showProtractor":true,"showRuler":false,"rulerLabel":"","rulerTicks":10,"rulerPixels":40,"rulerLength":10},"type":"measurer","version":{"major":1,"minor":0}}}} diff --git a/data/questions/2b/11/f9667f0553a9.json b/data/questions/2b/11/f9667f0553a9.json new file mode 100644 index 0000000000..2d1fd86225 --- /dev/null +++ b/data/questions/2b/11/f9667f0553a9.json @@ -0,0 +1 @@ +{"content":"Callan goes for a hike every Saturday. Callan hikes at a rate of $3$ miles per hour.\n\n**Complete the table for the given ratio.** \n \nHours, $x$ | Miles, $y$ \n:-: | :-: \n$1$ | $3$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,3],[3,9],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,3]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/14/a53078794b16.json b/data/questions/2b/14/a53078794b16.json new file mode 100644 index 0000000000..9126dc0c3e --- /dev/null +++ b/data/questions/2b/14/a53078794b16.json @@ -0,0 +1 @@ +{"content":"**Graph $-8x-y=8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-8],[-1,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/15/1957bb32cb2a.json b/data/questions/2b/15/1957bb32cb2a.json new file mode 100644 index 0000000000..f21b4e25ca --- /dev/null +++ b/data/questions/2b/15/1957bb32cb2a.json @@ -0,0 +1 @@ +{"content":"crwdns3458190:0crwdne3458190:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/1b/5a6a85898e86.json b/data/questions/2b/1b/5a6a85898e86.json new file mode 100644 index 0000000000..613456b8a1 --- /dev/null +++ b/data/questions/2b/1b/5a6a85898e86.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-4(x -3)(x -1)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,4],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/30/8fd737d6135f.json b/data/questions/2b/30/8fd737d6135f.json new file mode 100644 index 0000000000..05031ff3e1 --- /dev/null +++ b/data/questions/2b/30/8fd737d6135f.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -2$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-2,0]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/38/bb530ce4416c.json b/data/questions/2b/38/bb530ce4416c.json new file mode 100644 index 0000000000..1702c919d7 --- /dev/null +++ b/data/questions/2b/38/bb530ce4416c.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e79a3248835f28f6ff4f918672041bb8f247e52c","width":425},"correct":{"coords":[[-2,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/42/944e75fbc509.json b/data/questions/2b/42/944e75fbc509.json new file mode 100644 index 0000000000..3c501d5126 --- /dev/null +++ b/data/questions/2b/42/944e75fbc509.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ को चतुर्भुज $A'B'C'D'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0bb4a183e2c1692a7dce35914fc63c3d9b74fb15","width":425},"correct":{"coords":[[2,-3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/67/1ed07ae8d93c.json b/data/questions/2b/67/1ed07ae8d93c.json new file mode 100644 index 0000000000..a6568de597 --- /dev/null +++ b/data/questions/2b/67/1ed07ae8d93c.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{-3x+5=5y}$\n\n$\\qquad\\pink{5x+3=3y}$\n\n**Create a new equation by adding the equations together. ** \n(Be sure to combine like terms.) \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=-4x+1"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/a514a4401dc1d4aaac1c73a3cff64491f1e8bdb1.png","width":425},"correct":{"coords":[[1,-3],[0,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/6c/5a648472ca18.json b/data/questions/2b/6c/5a648472ca18.json new file mode 100644 index 0000000000..fcd2090113 --- /dev/null +++ b/data/questions/2b/6c/5a648472ca18.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(1.5,3)$ and has a radius of $0.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1.5,3],"radius":0.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/6d/e4ba565294f6.json b/data/questions/2b/6d/e4ba565294f6.json new file mode 100644 index 0000000000..b6a80b3d15 --- /dev/null +++ b/data/questions/2b/6d/e4ba565294f6.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b9c16562ab000e0a54bcfd31d5a442546e182f0","width":400},"correct":{"coords":[[[3,0],[6,4]],[[-2,0],[3,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/7b/aff2ab0b1638.json b/data/questions/2b/7b/aff2ab0b1638.json new file mode 100644 index 0000000000..7865863977 --- /dev/null +++ b/data/questions/2b/7b/aff2ab0b1638.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-5,1)$, and which has the point $(-2,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-5,1],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/85/49c87e4e7c5b.json b/data/questions/2b/85/49c87e4e7c5b.json new file mode 100644 index 0000000000..3a289580c2 --- /dev/null +++ b/data/questions/2b/85/49c87e4e7c5b.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $9$, Rule: add $3$\n\nPattern $y$: Starting number: $3$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$9$ | $3$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[9,3],[12,4],[15,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54acda61b712f60ff784e4dc6ef203668b95e198","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,-1],[2,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/a6/81182a4bd619.json b/data/questions/2b/a6/81182a4bd619.json new file mode 100644 index 0000000000..b4c0e47dc6 --- /dev/null +++ b/data/questions/2b/a6/81182a4bd619.json @@ -0,0 +1 @@ +{"content":"crwdns3153925:0crwdne3153925:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d4536b813beac81e454ad8cdefcf02e9e73fcc56":{"height":425,"width":440}},"widgets":{"dropdown 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defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/b9/66b6743aa7a8.json b/data/questions/2b/b9/66b6743aa7a8.json new file mode 100644 index 0000000000..a2e7a8e7de --- /dev/null +++ b/data/questions/2b/b9/66b6743aa7a8.json @@ -0,0 +1 @@ +{"content":"The $3$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n** Based only on these $3$ points, plot the $3$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/eb721c7f930abab072e25f0d829ef94aa4c1afa6.png","width":425},"correct":{"coords":[[0,1],[1,4],[2,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/cb/a5ad9114312d.json b/data/questions/2b/cb/a5ad9114312d.json new file mode 100644 index 0000000000..1f58a0d44a --- /dev/null +++ b/data/questions/2b/cb/a5ad9114312d.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{SIM}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9b7c68fb9350531c023460f4abdc395522536b5a","width":425},"correct":{"coords":[[-1,1],[0,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/d0/88b0cdc20875.json b/data/questions/2b/d0/88b0cdc20875.json new file mode 100644 index 0000000000..cbc64a88d4 --- /dev/null +++ b/data/questions/2b/d0/88b0cdc20875.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $2$. Then add $5$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","rightAlign":false,"multipleNumberInput":false},"version":{"major":0,"minor":0}},"numeric-input 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1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[6.5,0],[0,-4.5],[-5.5,-3.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/2b/d5/c31e003496a1.json b/data/questions/2b/d5/c31e003496a1.json new file mode 100644 index 0000000000..a16caf7f88 --- /dev/null +++ b/data/questions/2b/d5/c31e003496a1.json @@ -0,0 +1 @@ +{"content":"\n\n[[☃ passage 1]]\n\n=====\n\n[[☃ group 1]]\n\n[[☃ group 2]]\n\n[[☃ group 3]]\n\n[[☃ group 4]]\n\n[[☃ group 5]]\n\n[[☃ group 6]]\n\n[[☃ group 7]]\n\n[[☃ group 8]]\n\n[[☃ group 9]]\n\n[[☃ group 10]]\n\n[[☃ group 11]]","images":{},"widgets":{"grapher 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radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7KsAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP6eqQoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"NO CHANGE\n","correct":false},{"content":"Singing in a choir can help prevent depression.\n","correct":false},{"content":"The brain tends to respond favorably to group singing.\n","correct":true},{"content":"Several studies show that people report feeling happier when they sing together.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 6":{"graded":true,"options":{"content":"Which choice most effectively combines the sentences at the underlined portion?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMHktgoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"endorphins, which end up blunting\n","correct":false},{"content":"endorphins, which blunt\n","correct":true},{"content":"endorphins, but they blunt\n","correct":false},{"content":"endorphins, and they blunt","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 7":{"graded":true,"options":{"content":"\n[[☃ radio 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1":{"graded":true,"options":{"choices":[{"content":"NO CHANGE\n","correct":false},{"content":"an accessory\n","correct":false},{"content":"a supplement\n","correct":true},{"content":"an addendum","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 9":{"graded":true,"options":{"content":"\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGbugoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"NO CHANGE\n","correct":false},{"content":"reporting that they were suffering from clinical depression.\n","correct":false},{"content":"suffering from clinical depression by the end of that year.\n","correct":false},{"content":"clinically depressed.","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"passage 1":{"graded":true,"options":{"footnotes":"","passageText":"[1] In 2013, 32.5 million adults in the United States, roughly 10 percent of the population, sang in choirs, and England is home to more than 3,000 active choral groups. [2] Choir singing is a popular pastime. [3] These singers often report an increased sense of well-being and camaraderie, but does this hobby actually result in better health? [4] According to multiple scientific studies, singing--especially with others--provides concrete benefits to heart and brain health. [[1]]\n \nA 2013 study at Sweden’s University of Gothenburg examined the heart rates of 18 young people as they sang and hummed [[2]] __for__ unison. Heart rate variability (HRV), the increase and decrease in heart rate, occurred simultaneously with subjects’ slowed breathing while singing. This combination of fluctuating heart rate and slowed breathing [[3]] __are__ called respiratory sinus arrhythmia (RSA), and it has been proven to reduce the likelihood of cardiovascular [[4]] __disease a prior finding independent of the 2013 study.__ One interesting finding from this study is that the subjects’ heartbeats synchronized while they sang together. This may be a factor in choir singers’ reported feelings of happiness and bonding.\n \n[[5]] __People feel a keen sense of bonding when they sing together.__ Singing stimulates the right temporal lobe of the brain and releases [[6]] __endorphins. Endorphins blunt__ pain and engender feelings of pleasure. Cortisol, a hormonal reaction to stress and the secretion of which the brain controls, decreases after choir singing. Meanwhile, oxytocin, which the brain interprets as a feeling of emotional bonding, is increased. In a study at Oxford Brookes University, researchers surveyed 375 people who either sang alone, sang in a choir, or participated in organized sports. Those who sang in choir reported the highest levels of happiness. [[7]] __Due to__ its positive side effects, therapists have used choir singing as [[8]] __an element__ for those dealing with depression and chronic pain. A study from an arts and health research center in Canterbury, England, followed the progress of patients diagnosed with depression for a year after they joined a choir. Sixty percent of patients reported improved mental health at the end of that year, and some were no longer [[9]] __experiencing suffering from clinical depression.__\n \n[[10]] From the changes in heartbeat and breathing that result in a healthier heart, to the reduction of cortisol and production of endorphins that lower stress and increase [[11]] __happiness. Choir__ singing fulfills humans by letting them create art while being part of a group.","passageTitle":"Preaching to the Choir: the Health Benefits of Singing","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/d6/2f89866b4161.json b/data/questions/2b/d6/2f89866b4161.json new file mode 100644 index 0000000000..d6e1729387 --- /dev/null +++ b/data/questions/2b/d6/2f89866b4161.json @@ -0,0 +1 @@ +{"content":"Move one endpoint of this line segment as far up and to the right as it will go, and the other as far down and to the left as it will go.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[[-9,-9],[9,9]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/e8/5c5de536e6b9.json b/data/questions/2b/e8/5c5de536e6b9.json new file mode 100644 index 0000000000..25ca56df50 --- /dev/null +++ b/data/questions/2b/e8/5c5de536e6b9.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac25$ that contains the point $(-2,4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-2,4],[3,6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/f9/4212c9d425ca.json b/data/questions/2b/f9/4212c9d425ca.json new file mode 100644 index 0000000000..44a68d6c2e --- /dev/null +++ b/data/questions/2b/f9/4212c9d425ca.json @@ -0,0 +1 @@ +{"content":"Vladamir is adjusting his diet to prepare for his next bodybuilding competition. Last week, he consumed $500$ grams of protein. This week, he wants to at least double last week's protein consumption by eating just eggs and chicken breasts. Each egg has $8$ grams of protein, and each chicken breast has $25$ grams of protein.\n\n**Write an *inequality* that represents the number of eggs $(E)$ and chicken breasts $(C)$ Vladamir will need to eat to achieve his protein goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $C$ on the horizontal axis and $E$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Vladamir eats $35$ eggs $(E)$, which of the following numbers of chicken breasts $(C)$ can he eat to meet or exceed his protein goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"8E+25C>=1000","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[10,25],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["C","E"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,50],[-15,155]],"gridStep":[5,10],"snapStep":[2.5,5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,125],[40,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$21$","correct":false},{"content":"$23$","correct":false},{"content":"$24$","correct":false},{"content":"$26$","correct":false},{"content":"$30$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2b/fb/9b32b38b3fbc.json b/data/questions/2b/fb/9b32b38b3fbc.json new file mode 100644 index 0000000000..577f41f84a --- /dev/null +++ b/data/questions/2b/fb/9b32b38b3fbc.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$5$|$4$|$3$|$2$|$1$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd5727c0aa8f813e1fcbdb2cd2a25e224cccde6","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-4]],[[-5,0],[5,-1]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":true,"content":"$f$ is invertible"},{"correct":false,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/2c/02/de7f19dbfae8.json b/data/questions/2c/02/de7f19dbfae8.json new file mode 100644 index 0000000000..811010253b --- /dev/null +++ b/data/questions/2c/02/de7f19dbfae8.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $3$ apples cost $\\$5$. You can buy $6$ apples for $\\$9$.\n\n\n**Graph the points described by the given information.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/d436496c2ce92f8009b80ea37eee4e52921063e8.png":{"height":432,"width":443}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[30,50]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/0c/326455089edc.json b/data/questions/2c/0c/326455089edc.json new file mode 100644 index 0000000000..b758017712 --- /dev/null +++ b/data/questions/2c/0c/326455089edc.json @@ -0,0 +1 @@ +{"content":"Biologists introduced a population of bacteria to a test environment. The function $f$ models the population size (in thousands) as a function of time (in days) after introduction.\n\n**Plot the point on the graph of $f$ that corresponds to when there are no more bacteria in the population.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdfc620353de32ae7ea29f969ef097691d46e3a1","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,5],[-2,21]],"gridStep":[0.5,1],"snapStep":[0.25,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[4,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/11/cda4eac68d92.json b/data/questions/2c/11/cda4eac68d92.json new file mode 100644 index 0000000000..a816b97924 --- /dev/null +++ b/data/questions/2c/11/cda4eac68d92.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-1\\cdot 2^{1-x}+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,6],[10,6]],"coords":[[0,4],[1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/14/cd5838af80fd.json b/data/questions/2c/14/cd5838af80fd.json new file mode 100644 index 0000000000..13f739ffcf --- /dev/null +++ b/data/questions/2c/14/cd5838af80fd.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y+7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/2a/8fbd868bfd79.json b/data/questions/2c/2a/8fbd868bfd79.json new file mode 100644 index 0000000000..98786d1e28 --- /dev/null +++ b/data/questions/2c/2a/8fbd868bfd79.json @@ -0,0 +1 @@ +{"content":"crwdns3137504:0crwdne3137504:0","images":{"https://ka-perseus-images.s3.amazonaws.com/d69ff5e819d98cfa55bac07de6e7d5cbeda08c14.png":{"height":224,"width":478}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["crwdns3137552:0crwdne3137552:0","crwdns3137553:0crwdne3137553:0","crwdns3137554:0crwdne3137554:0","crwdns3137555:0crwdne3137555:0","crwdns3137495:0$x$crwdne3137495:0","crwdns3137496:0$y$crwdne3137496:0"],"items":["crwdns3137476:0crwdne3137476:0","crwdns3077518:0crwdne3077518:0","crwdns3077511:0crwdne3077511:0"],"randomizeItems":false,"values":[2,5,4]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-12e77f","options":{"color":"black","coordX":"0","coordY":"0"},"type":"point"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":true},{"content":"Quadrant IV","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/2d/16f9f4f10f0d.json b/data/questions/2c/2d/16f9f4f10f0d.json new file mode 100644 index 0000000000..9117d21c67 --- /dev/null +++ b/data/questions/2c/2d/16f9f4f10f0d.json @@ -0,0 +1 @@ +{"content":"crwdns4070173:0$hcrwdne4070173:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-4,3],[-3,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/33/dcb7765f2322.json b/data/questions/2c/33/dcb7765f2322.json new file mode 100644 index 0000000000..abcaa2bd3b --- /dev/null +++ b/data/questions/2c/33/dcb7765f2322.json @@ -0,0 +1 @@ +{"content":"A baker uses $8$ cups of flour to make $1$ batch of muffins for his bakery.\n\n**Complete the table for the given ratio.** \n \nBatches, $x$ | Flour (cups), $y$ \n:-: | :-: \n$1$ | $8$\n$2$| [[☃ numeric-input 3]]\n$3$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,8],[2,16],[3,24]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-2,26]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":24}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/4e/388bef5d9d12.json b/data/questions/2c/4e/388bef5d9d12.json new file mode 100644 index 0000000000..f878047765 --- /dev/null +++ b/data/questions/2c/4e/388bef5d9d12.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$15$|$9$|$13$|$7$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/03c39200d42bf28d97d5cc221f22c45b23d68a5d","width":400},"correct":{"coords":[[[-5,6],[5,-1]],[[-5,3],[5,-7]],[[-5,0],[5,2]],[[-5,-3],[5,-4]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/2c/57/5e540a7d8600.json b/data/questions/2c/57/5e540a7d8600.json new file mode 100644 index 0000000000..25dd33c480 --- /dev/null +++ b/data/questions/2c/57/5e540a7d8600.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f1ad8c96fd2cd069e2f38e939d0c94baa568395)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/39906df8e87dc828f9f4b1f62f76f1f5ec141201.png":{"height":248,"width":143},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f1ad8c96fd2cd069e2f38e939d0c94baa568395":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac25$","$-0.2$","$-\\dfrac45$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/59/d258e5a814bb.json b/data/questions/2c/59/d258e5a814bb.json new file mode 100644 index 0000000000..0cb8f0eb7c --- /dev/null +++ b/data/questions/2c/59/d258e5a814bb.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nNatalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.\n\n| | |\n- | :-: | :-:| :-:| :-:\nTargets hit | $1$| $2$| $5$ \nPoints | $3$ | $6$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Natalie's points proportional to the number of targets she hit?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\small{\\text{Targets hit}}$","$\\text{Points}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,7],[-1,20]],"gridStep":[0.5,1],"snapStep":[0.25,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[1,3],[2,6],[5,15]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/2c/60/da00e551e876.json b/data/questions/2c/60/da00e551e876.json new file mode 100644 index 0000000000..1e62bdcdfc --- /dev/null +++ b/data/questions/2c/60/da00e551e876.json @@ -0,0 +1 @@ +{"content":"**Graph $y=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-7,7],[-7,7]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-5,0],[4,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/63/815374e717aa.json b/data/questions/2c/63/815374e717aa.json new file mode 100644 index 0000000000..55ee6d14ae --- /dev/null +++ b/data/questions/2c/63/815374e717aa.json @@ -0,0 +1 @@ +{"content":"crwdns3395585:0$A$crwdnd3395585:0$C$crwdne3395585:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/668d416edbfdf5e3c31d3ad849d03611b79a3a47","width":400},"correct":{"coords":[[[2,6],[6,5]],[[2,0],[6,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/64/49ab766deb48.json b/data/questions/2c/64/49ab766deb48.json new file mode 100644 index 0000000000..242b638751 --- /dev/null +++ b/data/questions/2c/64/49ab766deb48.json @@ -0,0 +1 @@ +{"content":"crwdns3380940:0crwdne3380940:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,-2],"radius":7,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/67/ccb7deeb2876.json b/data/questions/2c/67/ccb7deeb2876.json new file mode 100644 index 0000000000..094dceef3b --- /dev/null +++ b/data/questions/2c/67/ccb7deeb2876.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8473b1c8a41fc0f3ac481818a8598bf19593c3ba","width":430},"correct":{"coords":[[-1.5,1.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/6e/7e1ae0523ede.json b/data/questions/2c/6e/7e1ae0523ede.json new file mode 100644 index 0000000000..b96e59e3cd --- /dev/null +++ b/data/questions/2c/6e/7e1ae0523ede.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f990914d45176dfe9659478f8fd4c0c87ae856ed","width":400},"correct":{"coords":[[2,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/79/01ff8a542dd7.json b/data/questions/2c/79/01ff8a542dd7.json new file mode 100644 index 0000000000..cf872214f8 --- /dev/null +++ b/data/questions/2c/79/01ff8a542dd7.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c73d9429fe0629be339f4194f34884e234eb00f4","width":425},"correct":{"coords":[[1,5],[5,2],[-5,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/a2/a88977b99a37.json b/data/questions/2c/a2/a88977b99a37.json new file mode 100644 index 0000000000..81bd04586f --- /dev/null +++ b/data/questions/2c/a2/a88977b99a37.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nThe number of songs that can fit on a hard drive depends on its storage space. \n\n| | |\n- | :-: | :-:| :-:| :-:\nSongs | $100$ | $200$| $400$ \nStorage space $(\\text{GB})$ | $0.5$ | $1$ | $2$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the number of songs that can fit on a hard drive proportional to its storage space?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[0.5,100],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Storage}$","$\\text{Songs}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,4.5],[-50,500]],"gridStep":[0.5,50],"snapStep":[0.25,25],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[0.5,100],[1,200],[2,400]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/2c/a3/3cc800026f1b.json b/data/questions/2c/a3/3cc800026f1b.json new file mode 100644 index 0000000000..e5d319f972 --- /dev/null +++ b/data/questions/2c/a3/3cc800026f1b.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/69cf49b23ee6020b29698bb148db75ade1e519ef","width":400},"correct":{"coords":[[-4,1],[6,-1.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/a3/a304198058e5.json b/data/questions/2c/a3/a304198058e5.json new file mode 100644 index 0000000000..a9d3332a7b --- /dev/null +++ b/data/questions/2c/a3/a304198058e5.json @@ -0,0 +1 @@ +{"content":"Dexter plans and records his spending. In the coordinate plane below, the $x$-axis represents the number of days before or after today. For example, $-1$ would represent yesterday. The $y$-axis represents the amount of money Dexter planned to spend in dollars. The points $(-5, 8)$ and $(2, 8)$ represent Dexter's planned spending on two separate days.\n\n**Plot the two points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many days separate the two days Dexter planned to spend $\\$8$ ?** \n\n[[☃ input-number 1]] days\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,8],[2,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ (\\ťțéèẍẋťț{ďđáàýśŝ})","ý (\\ťțéèẍẋťț{ďđóòĺľĺľáàŕřśŝ})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/a6/de6a65621f49.json b/data/questions/2c/a6/de6a65621f49.json new file mode 100644 index 0000000000..dadc96c610 --- /dev/null +++ b/data/questions/2c/a6/de6a65621f49.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3x+7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,7],[1,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/ad/d2cf33821a0b.json b/data/questions/2c/ad/d2cf33821a0b.json new file mode 100644 index 0000000000..873e2b23b7 --- /dev/null +++ b/data/questions/2c/ad/d2cf33821a0b.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -7$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-7,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/b1/3b27c13c3028.json b/data/questions/2c/b1/3b27c13c3028.json new file mode 100644 index 0000000000..136dcece65 --- /dev/null +++ b/data/questions/2c/b1/3b27c13c3028.json @@ -0,0 +1 @@ +{"content":"crwdns5574155:0{2}crwdnd5574155:0{3}crwdne5574155:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,-3],[6,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/bd/88553a1615b4.json b/data/questions/2c/bd/88553a1615b4.json new file mode 100644 index 0000000000..678757c493 --- /dev/null +++ b/data/questions/2c/bd/88553a1615b4.json @@ -0,0 +1 @@ +{"content":"crwdns6420143:0$pcrwdnd6420143:0$x$crwdne6420143:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[1,0],[-3,0],[-0.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/be/b8d963533288.json b/data/questions/2c/be/b8d963533288.json new file mode 100644 index 0000000000..b9e308aeef --- /dev/null +++ b/data/questions/2c/be/b8d963533288.json @@ -0,0 +1 @@ +{"content":"**Match each expression with its appropriate interpretation.**\n\n[[☃ matcher 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/f1347fd535eef97cf4b2cc58175be73f7a61e8cc.png":{"height":528,"width":1312}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Expression","Interpretation"],"left":["$7 - 9$","$\\left\\lvert 7 - 9\\right\\rvert$","$7 + (-7)$"],"orderMatters":false,"padding":true,"right":["The number $9$ to the left of $7$ on the horizontal number line","The distance between $7$ and $9$ on the number line","Sums to zero"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$|a - b| \\cdot |c - d|$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$|a - e|$","$|b - f|$","$|a - c|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/bf/402bce93b367.json b/data/questions/2c/bf/402bce93b367.json new file mode 100644 index 0000000000..754e51b69b --- /dev/null +++ b/data/questions/2c/bf/402bce93b367.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/68c9ef018a8ed2c5b080a4c527a969759fcedd29","width":430},"correct":{"coords":[[6,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/c5/d17df9b43b54.json b/data/questions/2c/c5/d17df9b43b54.json new file mode 100644 index 0000000000..22af0fee0a --- /dev/null +++ b/data/questions/2c/c5/d17df9b43b54.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(6, 4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/ca/a0cbb96fcacb.json b/data/questions/2c/ca/a0cbb96fcacb.json new file mode 100644 index 0000000000..b8f90ae735 --- /dev/null +++ b/data/questions/2c/ca/a0cbb96fcacb.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=7|x +2|-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,-3],[-1,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/d6/a3e5e77a674d.json b/data/questions/2c/d6/a3e5e77a674d.json new file mode 100644 index 0000000000..e9437f6643 --- /dev/null +++ b/data/questions/2c/d6/a3e5e77a674d.json @@ -0,0 +1 @@ +{"content":"crwdns3318330:0$fcrwdnd3318330:0{1}crwdnd3318330:0{4}crwdnd3318330:0$gcrwdnd3318330:0{1}crwdnd3318330:0{4}crwdne3318330:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-3,0],[-1,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/950389501cb3ba2f3708c314114bf9fac36fa80d","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2c/fc/48dc861810f6.json b/data/questions/2c/fc/48dc861810f6.json new file mode 100644 index 0000000000..c4b99dfcde --- /dev/null +++ b/data/questions/2c/fc/48dc861810f6.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac{1}{3}(x-6)^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[6,1],[3,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/0d/0e81b6d2af92.json b/data/questions/2d/0d/0e81b6d2af92.json new file mode 100644 index 0000000000..bf7c9d0275 --- /dev/null +++ b/data/questions/2d/0d/0e81b6d2af92.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/636076241f8b1b11de6fdc6785496fccc9d44461.png","width":400},"correct":{"coords":[[-1.75,2.5],[5.5,2.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/14/86dc70bd6273.json b/data/questions/2d/14/86dc70bd6273.json new file mode 100644 index 0000000000..a6977f9afc --- /dev/null +++ b/data/questions/2d/14/86dc70bd6273.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to build its new location halfway between the towns of Springfield and Greenville. Springfield is located at $(10,3)$ on the map below. Greenville is located at $(10,11)$. \n\n**Plot Springfield, Greenville, and the new shelter on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the animal shelter build its new location?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[10,3],[10,7],[10,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/16/2f85b452fabd.json b/data/questions/2d/16/2f85b452fabd.json new file mode 100644 index 0000000000..48cf4d8552 --- /dev/null +++ b/data/questions/2d/16/2f85b452fabd.json @@ -0,0 +1 @@ +{"content":"Brady earned $400$ stars in his school's Read-a-Thon event last year. His goal for this year is to earn at least $100$ more stars than he did last year. He earns $50$ stars for each book he reads and $5$ stars for each magazine he reads.\n\n**Write an *inequality* that represents the number of books $(B)$ and magazines $(M)$ Brady must read to meet his goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $B$ on the horizontal axis and $M$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Brady reads $6$ books $(B)$, which of the following numbers of magazines $(M)$ can he read to meet or exceed the star goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"50B+5M>=500","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[2,20],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["B","M"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,15],[-10,110]],"gridStep":[1,10],"snapStep":[0.5,5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,100],[10,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$36$","correct":false},{"content":"$40$","correct":true},{"content":"$44$","correct":true},{"content":"$48$","correct":true},{"content":"$53$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/19/e2796d9e8498.json b/data/questions/2d/19/e2796d9e8498.json new file mode 100644 index 0000000000..1319af52ed --- /dev/null +++ b/data/questions/2d/19/e2796d9e8498.json @@ -0,0 +1 @@ +{"content":"Joel looks at a map of Colorado, scowls, and tears it to shreds. \"I don't need this lousy map,\" he mutters, puffing out his chest and continuing his journey through the wilderness.\n\nBefore he destroyed it, Joel's map showed an outline of Colorado, a rectangular state with dimensions $600\\text{ km}$ by $450\\text{ km}$.\n\n**Move points to recreate Joel's map of Colorado on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/45468f3b7b080112c33b84bbc60fd50238d4dfbc.png","width":400},"correct":{"coords":[[5,-2],[5,7],[-7,7],[-7,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/1e/7e737678b6a2.json b/data/questions/2d/1e/7e737678b6a2.json new file mode 100644 index 0000000000..95b733ba1c --- /dev/null +++ b/data/questions/2d/1e/7e737678b6a2.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $4$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/efed7f04c5c3a476c7104de8a758b17d4f9ea9dc","width":400},"correct":{"coords":[[6,-6],[2,2],[-6,-6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/36/b82c266f8ea6.json b/data/questions/2d/36/b82c266f8ea6.json new file mode 100644 index 0000000000..7276c3bbab --- /dev/null +++ b/data/questions/2d/36/b82c266f8ea6.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x +2,y +2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bcc823f43b71756bd05e70fd3a6963320ed697f","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[0,4],[-4,6],[-3,0]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/3b/3a3d68b5b8c8.json b/data/questions/2d/3b/3a3d68b5b8c8.json new file mode 100644 index 0000000000..773393b700 --- /dev/null +++ b/data/questions/2d/3b/3a3d68b5b8c8.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to create a hexagon with vertices at the following points.** \n\n$(0, 4), (-6, 2), (-5, 0), (-3.5, -2), (-0.5, -1.5), (1, 1)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,2],[0,4],[1,1],[-0.5,-1.5],[-3.5,-2],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/2d/3e/509088d2ed8a.json b/data/questions/2d/3e/509088d2ed8a.json new file mode 100644 index 0000000000..5b957fd802 --- /dev/null +++ b/data/questions/2d/3e/509088d2ed8a.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/99ba964d9ad2c743fd19a62ae756043536593be5","width":425},"correct":{"coords":[[7,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/41/63d787ed5cd4.json b/data/questions/2d/41/63d787ed5cd4.json new file mode 100644 index 0000000000..3a7e28a28b --- /dev/null +++ b/data/questions/2d/41/63d787ed5cd4.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9accfb93d8f5a2c86387841a2a938dddfa6aeda6","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,-3],[4,-3],[-7,-7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/42/eaca6a0d91cc.json b/data/questions/2d/42/eaca6a0d91cc.json new file mode 100644 index 0000000000..44730082ff --- /dev/null +++ b/data/questions/2d/42/eaca6a0d91cc.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -2x -80=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[1,0],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/47/445d708480b3.json b/data/questions/2d/47/445d708480b3.json new file mode 100644 index 0000000000..6c217f49ff --- /dev/null +++ b/data/questions/2d/47/445d708480b3.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac14$ that contains the point $(6,3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[6,3],[2,2]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/50/ebf6f3b03cbe.json b/data/questions/2d/50/ebf6f3b03cbe.json new file mode 100644 index 0000000000..cee2a09e8a --- /dev/null +++ b/data/questions/2d/50/ebf6f3b03cbe.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $SORT$ is rotated $270^\\circ$ about the origin. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3aa306bbe7ede3067d116d597eb2e0324867d1f3","width":400},"correct":{"coords":[[7,1],[4,7],[1,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e98730da75ea202f048b860cb802424c71818cf1","width":400},"correct":{"coords":[[3,-7],[-1,-2],[-4,-5]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a8e84c2e6e4335cf4439641e24648acf207fd353","width":400},"correct":{"coords":[[-4,3],[-2,5],[-6,7],[-8,5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/930bffb00514a0dbdeb0501856b1db4f8eb68d39","width":400},"correct":{"coords":[[-6,-7],[-1,2],[3,2],[-2,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/57/34b8184ea25b.json b/data/questions/2d/57/34b8184ea25b.json new file mode 100644 index 0000000000..ce978e2790 --- /dev/null +++ b/data/questions/2d/57/34b8184ea25b.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $2$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/eb3ef6959380d2b2de37ab1f0902af3c201a4ad4","width":400},"correct":{"coords":[[1,-4],[7,4],[-5,6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/5e/30595de01d9b.json b/data/questions/2d/5e/30595de01d9b.json new file mode 100644 index 0000000000..a33ea75ed7 --- /dev/null +++ b/data/questions/2d/5e/30595de01d9b.json @@ -0,0 +1 @@ +{"content":"Tom's bakery is on Main street.\n\n(show Tom's bakery on a map where the scale is clear)\n\n**Move the points to redraw Tom's bakery on map below. Make sure you draw it to scale!**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/5f/c2b553f1c281.json b/data/questions/2d/5f/c2b553f1c281.json new file mode 100644 index 0000000000..1a3a9fcbd4 --- /dev/null +++ b/data/questions/2d/5f/c2b553f1c281.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $3$ units from Point $\\blueD{A}$ and also share the same $x$-coordinate as Point $\\blueD{A}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a2ca46b810623b189774509248ad4a21c8bc476","width":425},"correct":{"coords":[[5,3],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/68/54e6f773c8a7.json b/data/questions/2d/68/54e6f773c8a7.json new file mode 100644 index 0000000000..917ac69433 --- /dev/null +++ b/data/questions/2d/68/54e6f773c8a7.json @@ -0,0 +1 @@ +{"content":"crwdns6347453:0$ycrwdne6347453:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-4,-4],[4,-4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/6a/4751a904c1ef.json b/data/questions/2d/6a/4751a904c1ef.json new file mode 100644 index 0000000000..09245ffbdb --- /dev/null +++ b/data/questions/2d/6a/4751a904c1ef.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 2-9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/6d/826dc5ef9f40.json b/data/questions/2d/6d/826dc5ef9f40.json new file mode 100644 index 0000000000..7337ee3236 --- /dev/null +++ b/data/questions/2d/6d/826dc5ef9f40.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n-{\\dfrac{5}{3}}x-{\\dfrac{62}{3}} & , & -10\\leq x<-7 \\\\\\\\\n-9 & , & -7\\leq x<5\\\\\\\\\n0.8x-13 & , & 5\\leq x\\leq 10\\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[-10,-4],[-7,-9]],[[-7,-9],[5,-9]],[[5,-9],[10,-5]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/80/aa9af0e7bf3e.json b/data/questions/2d/80/aa9af0e7bf3e.json new file mode 100644 index 0000000000..7acbc36d0d --- /dev/null +++ b/data/questions/2d/80/aa9af0e7bf3e.json @@ -0,0 +1 @@ +{"content":"crwdns3462800:0$ycrwdne3462800:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,3],[0,7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/88/909bc0e2556c.json b/data/questions/2d/88/909bc0e2556c.json new file mode 100644 index 0000000000..1544e4dfd2 --- /dev/null +++ b/data/questions/2d/88/909bc0e2556c.json @@ -0,0 +1 @@ +{"content":"**Graph the best function in the world.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","sinusoid","exponential","quadratic","absolute_value","tangent","logarithm"],"correct":{"asymptote":null,"coords":[[-1.5,5],[3.5,2]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/8f/3eb0943ccb20.json b/data/questions/2d/8f/3eb0943ccb20.json new file mode 100644 index 0000000000..1eb3e6ba33 --- /dev/null +++ b/data/questions/2d/8f/3eb0943ccb20.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=3e^{-0.1x}$ and let $g(x)=(x+2)^2-8$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $3e^{-0.1x}=(x+2)^2-8$, where $x_1=1000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,125],[40,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,10],"labels":["C","E"],"markings":"graph","range":[[-5,50],[-15,155]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,5],"step":[10,25]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$21$","correct":false},{"content":"$23$","correct":false},{"content":"$24$","correct":false},{"content":"$26$","correct":false},{"content":"$30$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/94/5855d098b11a.json b/data/questions/2d/94/5855d098b11a.json new file mode 100644 index 0000000000..8f14e4c070 --- /dev/null +++ b/data/questions/2d/94/5855d098b11a.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e8901a77c39d9c986e6cf364a7dab1fc7732568c","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","coords":[[6,4],[7,6],[5,5],[6,0]],"numSides":4,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/98/882ecdcf2e71.json b/data/questions/2d/98/882ecdcf2e71.json new file mode 100644 index 0000000000..88a29d4873 --- /dev/null +++ b/data/questions/2d/98/882ecdcf2e71.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=-5x^2+10x+3$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[1,8],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":8},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/a0/7e11ed521993.json b/data/questions/2d/a0/7e11ed521993.json new file mode 100644 index 0000000000..ade2ece3d2 --- /dev/null +++ b/data/questions/2d/a0/7e11ed521993.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit right and $2$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1175ff80e07c28806d46b516a266d6305ffa4dea","width":425},"correct":{"coords":[[6,0],[5,4],[-3,5],[-2,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/a7/2ef4d3e4d514.json b/data/questions/2d/a7/2ef4d3e4d514.json new file mode 100644 index 0000000000..cdd5e521b2 --- /dev/null +++ b/data/questions/2d/a7/2ef4d3e4d514.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw an isosceles triangle with two $40^\\circ$ angles.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.538737563125787,2.7098296192522313],[8.314386480284625,8.21707584692013],[1.9804687593972448,2.517371415088168]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/a9/dc116e3c5a22.json b/data/questions/2d/a9/dc116e3c5a22.json new file mode 100644 index 0000000000..2267a1ad0f --- /dev/null +++ b/data/questions/2d/a9/dc116e3c5a22.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an obtuse angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]\n\nThis is an obtuse angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":false},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":true},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/9d0b14f85f71aad5488abb536a89caa5a285518f.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[0.10467563061404572,6.465104399621315],[2,2],[-0.000864864905288254,-0.0008648649052878099]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/b1/84b3bf9cd584.json b/data/questions/2d/b1/84b3bf9cd584.json new file mode 100644 index 0000000000..7c10448fc0 --- /dev/null +++ b/data/questions/2d/b1/84b3bf9cd584.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-\\dfrac{11}6$, $-1$, and $-\\dfrac23$.**\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/32362418a8aa2bbf5a7ca8927f5134ee375448cb":{"height":80,"width":460}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 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1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0965915ff9e5362174b94ad42f6847ba4df8e3eb)\n","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/3f1b05ca0a027f84f7e48b7e8e1089cfab7d834a)","correct":true},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/3e25972480b1af617b8981ff9eb6e4933974d7cb)","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/bc/286a030e43a3.json b/data/questions/2d/bc/286a030e43a3.json new file mode 100644 index 0000000000..fb8c432945 --- /dev/null +++ b/data/questions/2d/bc/286a030e43a3.json @@ -0,0 +1 @@ +{"content":"**Complete the table so each row represents a solution of the equation that is graphed below.**\n\n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ numeric-input 1]]\n[[☃ numeric-input 2]] | $1$\n\n**Graph the points that correspond to the solutions you obtained.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":428,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ed532e2bccbeaf7eb4e2388018c7f1398c0d0b57","width":424},"correct":{"coords":[[2,9],[-2,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/bd/32fc4ac7591d.json b/data/questions/2d/bd/32fc4ac7591d.json new file mode 100644 index 0000000000..e0d7fb77ee --- /dev/null +++ b/data/questions/2d/bd/32fc4ac7591d.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4c98f5bf2b4f5ccbe5bc02503a543e427ac25e51","width":430},"correct":{"coords":[[-0.5,1.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/c7/b132972bfa8d.json b/data/questions/2d/c7/b132972bfa8d.json new file mode 100644 index 0000000000..199e750f79 --- /dev/null +++ b/data/questions/2d/c7/b132972bfa8d.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-2$ that contains the point $(4,-3)$.**\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[4,-3],[5,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/cd/c3a1ef8fa235.json b/data/questions/2d/cd/c3a1ef8fa235.json new file mode 100644 index 0000000000..d573564185 --- /dev/null +++ b/data/questions/2d/cd/c3a1ef8fa235.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{BIT}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57ace3f006de3945ab51bd73928eb0195b7c297b","width":425},"correct":{"coords":[[1,5],[0,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/d3/8489a7006a97.json b/data/questions/2d/d3/8489a7006a97.json new file mode 100644 index 0000000000..51943681b1 --- /dev/null +++ b/data/questions/2d/d3/8489a7006a97.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea69c8407c11e1ef28a1f20162cb275ec69ac2ea","width":425},"correct":{"coords":[[7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2d/ee/bb4cd3ae11ab.json b/data/questions/2d/ee/bb4cd3ae11ab.json new file mode 100644 index 0000000000..59f6abccfd --- /dev/null +++ b/data/questions/2d/ee/bb4cd3ae11ab.json @@ -0,0 +1 @@ +{"content":"crwdns5574163:0crwdne5574163:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[6,0],[2,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/03/b47df853467c.json b/data/questions/2e/03/b47df853467c.json new file mode 100644 index 0000000000..287b4e8c22 --- /dev/null +++ b/data/questions/2e/03/b47df853467c.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $7$ units from Point $\\blueD{C}$ and also share the same $y$-coordinate as Point $\\blueD{C}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4339d27be2c9183c6a87c4e3805a54b257497bef","width":425},"correct":{"coords":[[8,-4],[-6,-4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/0a/cbbf78b74471.json b/data/questions/2e/0a/cbbf78b74471.json new file mode 100644 index 0000000000..68df7ece4d --- /dev/null +++ b/data/questions/2e/0a/cbbf78b74471.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[0,8]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/15/7d843ff50a91.json b/data/questions/2e/15/7d843ff50a91.json new file mode 100644 index 0000000000..cd61258fea --- /dev/null +++ b/data/questions/2e/15/7d843ff50a91.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create a right angle.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":true},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/13bd5fa711e2f06f00cbb431ca44b108ff1456fb.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[5,0.6480998664212345],[5,-6],[-0.7650059945889964,-5.999999999999999]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/23/833842653c39.json b/data/questions/2e/23/833842653c39.json new file mode 100644 index 0000000000..ed901ad7e4 --- /dev/null +++ b/data/questions/2e/23/833842653c39.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec26f87a3cbb86dd3fbdfe3df674f3aed81593c4","width":425},"correct":{"coords":[[7,1],[-5,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/25/19a252b5c07f.json b/data/questions/2e/25/19a252b5c07f.json new file mode 100644 index 0000000000..0cf8199c13 --- /dev/null +++ b/data/questions/2e/25/19a252b5c07f.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -9-7i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-9,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/29/6c49a0ff1c10.json b/data/questions/2e/29/6c49a0ff1c10.json new file mode 100644 index 0000000000..9a1309a563 --- /dev/null +++ b/data/questions/2e/29/6c49a0ff1c10.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(5, 5), (-3, 4), (-4.5, -4), (1, -5), (9, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,5],[-3,4],[-4.5,-4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/2e/2b/42ffd16e0f2f.json b/data/questions/2e/2b/42ffd16e0f2f.json new file mode 100644 index 0000000000..e4cf80d237 --- /dev/null +++ b/data/questions/2e/2b/42ffd16e0f2f.json @@ -0,0 +1 @@ +{"content":"**Draw the parabola's axis of symmetry.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d95269bb6dc4b738cb7037f78346970bcd5379ef","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-3,4],[-3,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/2c/11fa858a286c.json b/data/questions/2e/2c/11fa858a286c.json new file mode 100644 index 0000000000..7f568cace3 --- /dev/null +++ b/data/questions/2e/2c/11fa858a286c.json @@ -0,0 +1 @@ +{"content":"**Select the best interpretation of the following equation.**\n\n$\\qquad \\left\\lvert11 - x\\right\\rvert = \\left\\lvert y - 3\\right\\rvert$\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The distance between $11$ and $x$ is equal to the distance between $y$ and $3$.","correct":true},{"content":"The distance between $11$ and $-x$ is equal to the distance between $y$ and $-3$.","correct":false},{"content":"The distance between $11$ and $y$ is equal to the distance between $-x$ and $-3$.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/2c/67e44894b07c.json b/data/questions/2e/2c/67e44894b07c.json new file mode 100644 index 0000000000..7457cf8ff0 --- /dev/null +++ b/data/questions/2e/2c/67e44894b07c.json @@ -0,0 +1 @@ +{"content":"**Make an obtuse angle by using the three black points as follows.** \n\n**Drag the vertex of the angle to place the vertex at the correct black point.** \n\n**Drag the points on the rays to make the rays go through the other two black points.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]\n\nThis is an obtuse angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":false},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":true},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5bd3c3646502715b3fba73cfaf154102f5293177.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-3.882352941176472,0.117647058823529],[0,4],[6.529676730182901,3.9999999999999982]],"snapDegrees":2.5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":2.5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/37/fa09b778767b.json b/data/questions/2e/37/fa09b778767b.json new file mode 100644 index 0000000000..57aec7f0ab --- /dev/null +++ b/data/questions/2e/37/fa09b778767b.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ce6e17bb98b84e3d159b78908154fd56120914a6","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[7,-4],[-7,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/38/42da0c09a831.json b/data/questions/2e/38/42da0c09a831.json new file mode 100644 index 0000000000..1571cb6856 --- /dev/null +++ b/data/questions/2e/38/42da0c09a831.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac25$ that contains the point $(-2,4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[-2,4],[3,6]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/44/ec0c76af5998.json b/data/questions/2e/44/ec0c76af5998.json new file mode 100644 index 0000000000..da790570ba --- /dev/null +++ b/data/questions/2e/44/ec0c76af5998.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ac61fc52c3a3c933a746d42d13767a67bb2ebf9d","width":425},"correct":{"coords":[[-5,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/4a/d95e5133414c.json b/data/questions/2e/4a/d95e5133414c.json new file mode 100644 index 0000000000..e3f93e00bc --- /dev/null +++ b/data/questions/2e/4a/d95e5133414c.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $3$ units to the right and $1$ unit up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e52cd48b77e052c2510aa7756e65a78b2f809e4b","width":425},"correct":{"coords":[[7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/5f/c19594f0325c.json b/data/questions/2e/5f/c19594f0325c.json new file mode 100644 index 0000000000..c34f3aae73 --- /dev/null +++ b/data/questions/2e/5f/c19594f0325c.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-3)$ and has a slope of $-2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-4,-5],[-5,-3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/68/df2a2f208972.json b/data/questions/2e/68/df2a2f208972.json new file mode 100644 index 0000000000..5d269e4d74 --- /dev/null +++ b/data/questions/2e/68/df2a2f208972.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $TRAM$ is rotated $-90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c915f517f7529dda4df3df640190f98527ad3f2a","width":425},"correct":{"coords":[[7,1],[4,5],[1,5],[7,7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/6a/73cdf17f491a.json b/data/questions/2e/6a/73cdf17f491a.json new file mode 100644 index 0000000000..255dce31cc --- /dev/null +++ b/data/questions/2e/6a/73cdf17f491a.json @@ -0,0 +1 @@ +{"content":"crwdns3380944:0$2$crwdne3380944:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-7,-6],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/6d/0badf3992f3d.json b/data/questions/2e/6d/0badf3992f3d.json new file mode 100644 index 0000000000..d0e902c432 --- /dev/null +++ b/data/questions/2e/6d/0badf3992f3d.json @@ -0,0 +1 @@ +{"content":"One of the points that defines a certain quadrilateral is $(1,1)$. The quadrilateral has rotational symmetry of $90^\\circ$ about the point $(-4,-4)$.\n\n**Draw and classify the quadrilateral described above.** \n(Choose the most specific description.)\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/272eb1922c86bfe08d0604f41b5d93ccaac9d0ee","width":400},"correct":{"coords":[[-9,1],[1,1],[1,-9],[-9,-9]],"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"वर्ग (Square)","correct":true},{"content":"आयत (Rectangle)","correct":false},{"content":"समचतुर्भुज (Rhombus)","correct":false},{"content":"समांतर चतुर्भुज (Parallelogram)","correct":false},{"content":"समलंब चतुर्भुज (Trapezoid)","correct":false},{"content":"Kite","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/2e/75/f164bec12e95.json b/data/questions/2e/75/f164bec12e95.json new file mode 100644 index 0000000000..3f1e9b25b9 --- /dev/null +++ b/data/questions/2e/75/f164bec12e95.json @@ -0,0 +1 @@ +{"content":"**Construct a $130^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6.662476544422285,-1.0599696426100849],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"startCoords":[[7,-9],[0,-9],[7,-7.60585899672032]],"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":true,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/8e/c5d1f381b9ac.json b/data/questions/2e/8e/c5d1f381b9ac.json new file mode 100644 index 0000000000..9374815e74 --- /dev/null +++ b/data/questions/2e/8e/c5d1f381b9ac.json @@ -0,0 +1 @@ +{"content":"\"You seem in need of a puzzle to solve!\" Kitt exclaims, a grin on his handsome face. \"Draw me a square with a quarter of the area of a $12\\text{ cm}$ by $12\\text{ cm}$ square, and make sure you draw it to scale!\"\n\n**Kitt's wish is your command. Draw the square he described by moving the points on the grid below.**\n\n(have the scale on the grid be 3 units to 2 cm)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/9c/1a5cf08f35fc.json b/data/questions/2e/9c/1a5cf08f35fc.json new file mode 100644 index 0000000000..e26c424d51 --- /dev/null +++ b/data/questions/2e/9c/1a5cf08f35fc.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9ab6b1831806ff8965275de246af2fbc30e36e0b","width":430},"correct":{"coords":[[4,3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/a6/0c8d0c7094a9.json b/data/questions/2e/a6/0c8d0c7094a9.json new file mode 100644 index 0000000000..10c23397d8 --- /dev/null +++ b/data/questions/2e/a6/0c8d0c7094a9.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $A$ and scale factor is $\\dfrac{1}{4}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f43b94ab75a07413fd0f2130b6b006ab2eaa7ee","width":400},"correct":{"coords":[[-4,0],[-3,3],[-6,2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/ab/5d9a7ba5abce.json b/data/questions/2e/ab/5d9a7ba5abce.json new file mode 100644 index 0000000000..c3f840d235 --- /dev/null +++ b/data/questions/2e/ab/5d9a7ba5abce.json @@ -0,0 +1 @@ +{"content":"crwdns3295089:0$2012$crwdnd3295089:0$16$crwdnd3295089:0$5$crwdnd3295089:0$4$crwdnd3295089:0$2$crwdnd3295089:0$1$crwdnd3295089:0$9$crwdnd3295089:0$2$crwdnd3295089:0$2$crwdnd3295089:0$1$crwdnd3295089:0$6$crwdne3295089:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,6],[4,2],[5,2],[16,9],[2,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3295051:0{Gold}crwdne3295051:0","crwdns3295050:0{Silver}crwdne3295050:0"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/ab/662566c3ab18.json b/data/questions/2e/ab/662566c3ab18.json new file mode 100644 index 0000000000..4d03196af4 --- /dev/null +++ b/data/questions/2e/ab/662566c3ab18.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $y=-2(x+0.5)(2x-3)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the equation.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0.5,4],[1.5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/c1/eab548f517b7.json b/data/questions/2e/c1/eab548f517b7.json new file mode 100644 index 0000000000..c9b80e5c56 --- /dev/null +++ b/data/questions/2e/c1/eab548f517b7.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=5\\log_3(-x)-5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[0,-10],[0,10]],"coords":[[-1,-5],[-3,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/d3/ace5a8e46e26.json b/data/questions/2e/d3/ace5a8e46e26.json new file mode 100644 index 0000000000..edf0a1f946 --- /dev/null +++ b/data/questions/2e/d3/ace5a8e46e26.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{2}(x-2)^2-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-4],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ḟ(ẍẋ)"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/e3/de6e0c2dde1c.json b/data/questions/2e/e3/de6e0c2dde1c.json new file mode 100644 index 0000000000..60ac03165a --- /dev/null +++ b/data/questions/2e/e3/de6e0c2dde1c.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to locate their new home halfway between Fairview and Salem. Fairview is located at $(1.5,2)$ on the grid shown below. Salem is located at $(3.5,4)$. \n\n**Where should the shelter locate itself?** \n([[☃ input-number 1]],[[☃ input-number 2]])\n\n**Plot both towns and the shelter on the map.**\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3.5,4],[1.5,2],[2.5,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[0.5,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/e4/2cb180223645.json b/data/questions/2e/e4/2cb180223645.json new file mode 100644 index 0000000000..313ddd04d0 --- /dev/null +++ b/data/questions/2e/e4/2cb180223645.json @@ -0,0 +1 @@ +{"content":"crwdns3457941:0$xcrwdne3457941:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,-4],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/e8/1d7d64f420e9.json b/data/questions/2e/e8/1d7d64f420e9.json new file mode 100644 index 0000000000..166a444a0e --- /dev/null +++ b/data/questions/2e/e8/1d7d64f420e9.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-3, 4)$ and $(4, 4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,4],[4,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"□□□□□□□□ □□□□ □□□□□□□□ □□□□□□ □□□□□□ □□ □□□□□□□□.","simplify":"required","status":"wrong","strict":false,"value":-7}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/eb/2236ddd46e92.json b/data/questions/2e/eb/2236ddd46e92.json new file mode 100644 index 0000000000..fea7338485 --- /dev/null +++ b/data/questions/2e/eb/2236ddd46e92.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(1,6)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/eb/6e8d8fb21c38.json b/data/questions/2e/eb/6e8d8fb21c38.json new file mode 100644 index 0000000000..cf8c172d63 --- /dev/null +++ b/data/questions/2e/eb/6e8d8fb21c38.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ABC}$ is rotated $90^\\circ$ about the point $(2,2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4c10630ba46f1e8ee7ee60a6e2134b34aa196dcc","width":425},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/ed/7e8eab3d2cd4.json b/data/questions/2e/ed/7e8eab3d2cd4.json new file mode 100644 index 0000000000..b47faa5f22 --- /dev/null +++ b/data/questions/2e/ed/7e8eab3d2cd4.json @@ -0,0 +1 @@ +{"content":"crwdns4117378:0$x$crwdnd4117378:0$y$crwdnd4117378:0$5$crwdnd4117378:0$x$crwdnd4117378:0$y$crwdnd4117378:0$x$crwdnd4117378:0$y$crwdnd4117378:0:-:crwdnd4117378:0$2$crwdnd4117378:0$3$crwdnd4117378:0$4$crwdne4117378:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,7],[3,8],[4,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/ef/5492eabbd0e4.json b/data/questions/2e/ef/5492eabbd0e4.json new file mode 100644 index 0000000000..4fa59f2825 --- /dev/null +++ b/data/questions/2e/ef/5492eabbd0e4.json @@ -0,0 +1 @@ +{"content":"[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,1],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2e/fd/25f2ac430bf8.json b/data/questions/2e/fd/25f2ac430bf8.json new file mode 100644 index 0000000000..0a38668643 --- /dev/null +++ b/data/questions/2e/fd/25f2ac430bf8.json @@ -0,0 +1 @@ +{"content":"Kayli's tablet has a cracked screen. On a coordinate map of the screen, the crack starts at the point $(1,3)$ and ends at the point $(10,3)$. The crack connects the two points in a straight line.\n\n**Plot the points where the crack starts and ends on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How long is the crack?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[10,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/00/22d11cf73ff8.json b/data/questions/2f/00/22d11cf73ff8.json new file mode 100644 index 0000000000..ad8032d95e --- /dev/null +++ b/data/questions/2f/00/22d11cf73ff8.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=3\\sin\\left(\\dfrac{\\pi}{5} x+\\dfrac{2\\pi}{5}\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-2,-3],[0.5,0]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/14/df3cc6bbac23.json b/data/questions/2f/14/df3cc6bbac23.json new file mode 100644 index 0000000000..875e3173de --- /dev/null +++ b/data/questions/2f/14/df3cc6bbac23.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$4$|$8$|$16$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3140d713657fd4a6d5c3a8331da11fec17952717","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/2f/17/4dc27fc43c6a.json b/data/questions/2f/17/4dc27fc43c6a.json new file mode 100644 index 0000000000..c05a815a29 --- /dev/null +++ b/data/questions/2f/17/4dc27fc43c6a.json @@ -0,0 +1 @@ +{"content":"बिंदुओं के किसी भी युग्म को एक रेखा के द्वारा जोड़ा जा सकता है। \n\n**काले बिंदुओं के युग्मों को इस प्रकार जोड़िए कि इससे बनने वाली रेखा डैश वाली रेखा के लंबवत हो।**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dd2a53cbdf9f36a303e5911bcb959ebfa327d33","width":400},"correct":{"coords":[[-6,3],[5,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/1e/4282d535303e.json b/data/questions/2f/1e/4282d535303e.json new file mode 100644 index 0000000000..df166f888a --- /dev/null +++ b/data/questions/2f/1e/4282d535303e.json @@ -0,0 +1 @@ +{"content":"crwdns6347441:0$xcrwdne6347441:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-3,3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/22/046e0857bc6b.json b/data/questions/2f/22/046e0857bc6b.json new file mode 100644 index 0000000000..0369c9a22b --- /dev/null +++ b/data/questions/2f/22/046e0857bc6b.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{7}{2}x$ \n \n \n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/059b8da98ba9ac1badc2f05d991eaf655ccf0101.png":{"width":429,"height":435}},"widgets":{"input-number 1":{"type":"input-number","graded":true,"options":{"value":"7","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"input-number 2":{"type":"input-number","graded":true,"options":{"value":"14","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,15],[-1,15]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[2,7],[4,14]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/29/da5eafd20847.json b/data/questions/2f/29/da5eafd20847.json new file mode 100644 index 0000000000..3332087e22 --- /dev/null +++ b/data/questions/2f/29/da5eafd20847.json @@ -0,0 +1 @@ +{"content":"crwdns4197788:0$10$crwdnd4197788:0$5$crwdnd4197788:0$f$crwdnd4197788:0$b$crwdnd4197788:0$bcrwdnd4197788:0$2$crwdnd4197788:0$4$crwdne4197788:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,20],[4,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["crwdns4203652:0{Necklaces}crwdne4203652:0","crwdns4203647:0{Beads}crwdne4203647:0"],"markings":"graph","range":[[-1,10],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/2e/d5e24f7d9837.json b/data/questions/2f/2e/d5e24f7d9837.json new file mode 100644 index 0000000000..888c73bb2f --- /dev/null +++ b/data/questions/2f/2e/d5e24f7d9837.json @@ -0,0 +1 @@ +{"content":"A student places a potato cube into a beaker of distilled water as shown below.\n\n\n\n[[☃ image 1]]\n\nThe potato cube has a $\\psi_{p}$ of $0.2\\, \\text{bar}$ and a $\\psi_{s}$ of $-0.4\\, \\text{bar}$.\n\n__Water potential__: $\\psi = \\psi_{p} + \\psi_{s}$\n\n* $\\psi_{p} =$ pressure potential\n* $\\psi_{s} =$ solute potential\n\n**Assuming standard atmospheric pressure, which of the following is true?**\n\n[[☃ radio 1]]\n","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"A sketch showing a container with a line pointing to the inside of the container and labeled distilled water. Inside the container there is a cube with a line pointing to the cube and the label potato cube.","backgroundImage":{"height":277,"url":"https://ka-perseus-images.s3.amazonaws.com/f9a2b76c3c16a365abf2b78a3692aac088813db7.png","width":381},"box":[381,277],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"clue":"The water potential of distilled water is $0\\, \\text{bar}$. The water potential of the potato cube is $\\psi = 0.2 + (-0.4) = -0.2\\, \\text{bar}$.","content":"The water potential of the potato cube is $-0.2\\, \\text{bar}$ and the water potential of the distilled water is $0\\, \\text{bar}$.","correct":true},{"clue":"The water potential of distilled water *is* $0\\, \\text{bar}$, but the water potential of the potato cube is $\\psi = 0.2 + (-0.4) = -0.2\\, \\text{bar}$.","content":"The water potential of the potato cube is $-0.6\\, \\text{bar}$ and the water potential of the distilled water is $0\\, \\text{bar}$.","correct":false},{"clue":"The water potential of distilled water is $0\\, \\text{bar}$. The water potential of the potato cube is $\\psi = 0.2 + (-0.4) = -0.2\\, \\text{bar}$.","content":"The water potential of the potato cube is $0\\, \\text{bar}$ and the water potential of the distilled water is $-0.2\\, \\text{bar}$.","isNoneOfTheAbove":false},{"clue":"The water potential of distilled water is $0\\, \\text{bar}$. The water potential of the potato cube is $\\psi = 0.2 + (-0.4) = -0.2\\, \\text{bar}$.","content":"The water potential of the potato cube is $0\\, \\text{bar}$ and the water potential of the distilled water is $-0.6\\, \\text{bar}$.","isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/2f/31/9619d5195b1b.json b/data/questions/2f/31/9619d5195b1b.json new file mode 100644 index 0000000000..9ca0e60fbe --- /dev/null +++ b/data/questions/2f/31/9619d5195b1b.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4(x +6)(x +4)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-4],[-6,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/36/7e449ae17e2d.json b/data/questions/2f/36/7e449ae17e2d.json new file mode 100644 index 0000000000..61ca83b6d4 --- /dev/null +++ b/data/questions/2f/36/7e449ae17e2d.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to create a hexagon with vertices at the following points.** \n\n$(0, 4), (-6, 2), (-5, 0), (-3.5, -2), (-0.5, -1.5), (1, 1)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,2],[0,4],[1,1],[-0.5,-1.5],[-3.5,-2],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/2f/36/c60e60f8ecb5.json b/data/questions/2f/36/c60e60f8ecb5.json new file mode 100644 index 0000000000..c9913d979e --- /dev/null +++ b/data/questions/2f/36/c60e60f8ecb5.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=6\\cdot\\left(\\dfrac{1}{3}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,6],[1,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/4c/a9e53290ee92.json b/data/questions/2f/4c/a9e53290ee92.json new file mode 100644 index 0000000000..ef07f8dfe9 --- /dev/null +++ b/data/questions/2f/4c/a9e53290ee92.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\sin\\left(\\dfrac{\\pi}{4} x+\\dfrac{3\\pi}{4}\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3,2],[-1,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/6c/616886fe576c.json b/data/questions/2f/6c/616886fe576c.json new file mode 100644 index 0000000000..14639c2d32 --- /dev/null +++ b/data/questions/2f/6c/616886fe576c.json @@ -0,0 +1 @@ +{"content":"crwdns4132425:0$P$crwdnd4132425:0$4$crwdne4132425:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/efed7f04c5c3a476c7104de8a758b17d4f9ea9dc","width":400},"correct":{"coords":[[6,-6],[2,2],[-6,-6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/6c/e7d29ca78931.json b/data/questions/2f/6c/e7d29ca78931.json new file mode 100644 index 0000000000..b2c27288c7 --- /dev/null +++ b/data/questions/2f/6c/e7d29ca78931.json @@ -0,0 +1 @@ +{"content":"crwdns5193759:0$Q$crwdnd5193759:0$x$crwdne5193759:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f056f461d782f41c9f6fca38f6e2f3ace4140f70","width":425},"correct":{"coords":[[0,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/87/05fb5be2b299.json b/data/questions/2f/87/05fb5be2b299.json new file mode 100644 index 0000000000..ff1a5663a1 --- /dev/null +++ b/data/questions/2f/87/05fb5be2b299.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(5,8)$ and $(5,3)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,3],[5,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/8d/4f0d368a27f1.json b/data/questions/2f/8d/4f0d368a27f1.json new file mode 100644 index 0000000000..21139f1643 --- /dev/null +++ b/data/questions/2f/8d/4f0d368a27f1.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3abcd04df721db46e71a686e41078a63e77b6c80","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-4,1],[6,-1.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/99/c7541359296b.json b/data/questions/2f/99/c7541359296b.json new file mode 100644 index 0000000000..746cdffacf --- /dev/null +++ b/data/questions/2f/99/c7541359296b.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -3-6x$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,-3],[1,-9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/9f/02768e852540.json b/data/questions/2f/9f/02768e852540.json new file mode 100644 index 0000000000..e160909e98 --- /dev/null +++ b/data/questions/2f/9f/02768e852540.json @@ -0,0 +1 @@ +{"content":"crwdns3890744:0{x}crwdnd3890744:0{array}crwdnd3890744:0{rr}crwdnd3890744:0{array}crwdnd3890744:0{v}crwdnd3890744:0{v}crwdnd3890744:0{array}crwdnd3890744:0{r}crwdnd3890744:0{array}crwdne3890744:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1fd22958a7cc503c616c1673d450ff8853fd1611","width":425},"correct":{"coords":[[[0,0],[20,0]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/9f/3fb2ff167c24.json b/data/questions/2f/9f/3fb2ff167c24.json new file mode 100644 index 0000000000..d05e2c9d29 --- /dev/null +++ b/data/questions/2f/9f/3fb2ff167c24.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(6,-5)$ and has a slope of $-\\dfrac{2}{3}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,-3],[6,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/b5/6ab3f501272d.json b/data/questions/2f/b5/6ab3f501272d.json new file mode 100644 index 0000000000..2efca726c4 --- /dev/null +++ b/data/questions/2f/b5/6ab3f501272d.json @@ -0,0 +1 @@ +{"content":"crwdns3474930:0crwdne3474930:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9,6]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/c5/ef81c570cde3.json b/data/questions/2f/c5/ef81c570cde3.json new file mode 100644 index 0000000000..83eb2ff7f5 --- /dev/null +++ b/data/questions/2f/c5/ef81c570cde3.json @@ -0,0 +1 @@ +{"content":"**Construct a $75^\\circ$ angle.** \n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/cd/f368d6b26a4f.json b/data/questions/2f/cd/f368d6b26a4f.json new file mode 100644 index 0000000000..aae4324a1b --- /dev/null +++ b/data/questions/2f/cd/f368d6b26a4f.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/236e5ec455b9b95f4596553cdd50ab16b31681d7","width":425},"correct":{"coords":[[-2,-1],[-2,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/d1/b6c498f9da9a.json b/data/questions/2f/d1/b6c498f9da9a.json new file mode 100644 index 0000000000..f5bf947023 --- /dev/null +++ b/data/questions/2f/d1/b6c498f9da9a.json @@ -0,0 +1 @@ +{"content":"crwdns3458189:0crwdne3458189:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-4,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/d2/ad95f1c0bcb7.json b/data/questions/2f/d2/ad95f1c0bcb7.json new file mode 100644 index 0000000000..23589fe827 --- /dev/null +++ b/data/questions/2f/d2/ad95f1c0bcb7.json @@ -0,0 +1 @@ +{"content":"**Graph the following system of linear equations and determine the number of its solutions.**\n\n$\\qquad 8x+y=8$\n\n$\\qquad 9x-3y=-3$\n\n[[☃ radio 1]]\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,8],[1,0]],[[0,1],[1,4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":true},{"content":"No solutions","correct":false},{"content":"Infinitely many solutions","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/d8/38dd51359062.json b/data/questions/2f/d8/38dd51359062.json new file mode 100644 index 0000000000..b13636e046 --- /dev/null +++ b/data/questions/2f/d8/38dd51359062.json @@ -0,0 +1 @@ +{"content":"**Which graph shows an exponential function with range $g(x)>0$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265,"height":265},"labels":[],"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"![An exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve has arrows at the edge of the graph on either end.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/8604d9f49d4a1e47b4a4ab720051ec41809880e6)"},{"correct":false,"content":"![A ray of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve has an arrow at the left edge and ends on the right side in an open, unfilled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/8dddcc7d0503f6ba6955f901929cac4dc8e5c156)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve has an arrow at the right edge and ends on the left side in an open, unfilled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/b40aeb2758d3325655b378fb3d13b074e4000944)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in an open, unfilled circle at (negative 6, 8) and ends on the right side in an open, unfilled circle at (8, 0 point 2).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/a68c4ff077f2bae42f210d3abc3ba13c84a6e4d9)"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/2f/d8/fc5bf78486b7.json b/data/questions/2f/d8/fc5bf78486b7.json new file mode 100644 index 0000000000..3cfde4211c --- /dev/null +++ b/data/questions/2f/d8/fc5bf78486b7.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42d82e5f734e964a977bb1c3a4973a71d2c0205f","width":425},"correct":{"coords":[[-3,-6],[-2,-3],[-4,-2],[-5,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/e8/8907dfc11d6c.json b/data/questions/2f/e8/8907dfc11d6c.json new file mode 100644 index 0000000000..d31f42ceb8 --- /dev/null +++ b/data/questions/2f/e8/8907dfc11d6c.json @@ -0,0 +1 @@ +{"content":"Move the line segment so one endpoint is at $(0, 0)$ and the other is at $(1, 1)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":true,"range":[[-5,5],[-5,5]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"ellipse","center":[0,0],"radius":[2,2],"angle":0,"color":"grayH","fillStyle":"none","strokeStyle":"solid","ariaLabel":"Locked ellipse with a radius of 2 centered at the origin."}],"fullGraphAriaLabel":"Interactive graph with a moveable line segment","fullGraphAriaDescription":"Interactive graph grid labeled with axis marks labeled x and y, and tick marks on whole numbers. The grid range is from -5 to 5 on both axis lines. A line segment displays initially with endpoints at (3,3) and (-2,3).","graph":{"type":"segment"},"correct":{"type":"segment","coords":[[[0,0],[1,1]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/eb/7c16a0e16849.json b/data/questions/2f/eb/7c16a0e16849.json new file mode 100644 index 0000000000..945f42619f --- /dev/null +++ b/data/questions/2f/eb/7c16a0e16849.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e9c966d1afce75629c2c10578985f6ab10074b95","width":425},"correct":{"coords":[[1,-4],[-2,1],[-5,4],[-4,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/fb/12925ef4f3e3.json b/data/questions/2f/fb/12925ef4f3e3.json new file mode 100644 index 0000000000..54bc85e686 --- /dev/null +++ b/data/questions/2f/fb/12925ef4f3e3.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $3$.**\n \n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b736520684b73f6574e3628ea109d0774df59456":{"height":152,"width":320}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f13715756be7e317009f2c22196703e973384976","width":400},"correct":{"coords":[[6,-4],[-6,5],[-6,-4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/2f/fe/d5fb0045c3f6.json b/data/questions/2f/fe/d5fb0045c3f6.json new file mode 100644 index 0000000000..5381985503 --- /dev/null +++ b/data/questions/2f/fe/d5fb0045c3f6.json @@ -0,0 +1 @@ +{"content":"crwdns4070160:0$fcrwdne4070160:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-4,0],[-3,-2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/15/c61182c37aad.json b/data/questions/30/15/c61182c37aad.json new file mode 100644 index 0000000000..258d875faa --- /dev/null +++ b/data/questions/30/15/c61182c37aad.json @@ -0,0 +1 @@ +{"content":"[[☃ 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1":{"alignment":"default","graded":true,"options":{"choices":[{},{}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}},"sorter 1":{"alignment":"default","graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"static":false,"type":"sorter","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[[""],[""],[""],[""]],"columns":1,"headers":[""],"rows":4},"static":false,"type":"table","version":{"major":0,"minor":0}},"transformer 1":{"alignment":"default","graded":true,"options":{"correct":{"shape":{"coords":[[2,2],[2,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"drawSolutionShape":true,"gradeEmpty":false,"graph":{"backgroundImage":{"url":""},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"dynamic","starting":{"shape":{"coords":[[2,2],[2,6],[7,2]],"type":"polygon-3"},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":true,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[2,-4],[2,2]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":true,"required":false},"translation":{"constraints":{},"enabled":true,"required":false}},"version":1.2},"static":false,"type":"transformer","version":{"major":0,"minor":0}},"video 1":{"alignment":"block","graded":true,"options":{"location":"","static":false},"static":false,"type":"video","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/2a/a8acb9e11e85.json b/data/questions/30/2a/a8acb9e11e85.json new file mode 100644 index 0000000000..e2f0b3a659 --- /dev/null +++ b/data/questions/30/2a/a8acb9e11e85.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a reflection across the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f056f461d782f41c9f6fca38f6e2f3ace4140f70","width":425},"correct":{"coords":[[0,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/2b/d4eb9f178b03.json b/data/questions/30/2b/d4eb9f178b03.json new file mode 100644 index 0000000000..c37373dad4 --- /dev/null +++ b/data/questions/30/2b/d4eb9f178b03.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3+3x^2-18x-27$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-1.5,0],[3,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/2f/9c66bbe315ef.json b/data/questions/30/2f/9c66bbe315ef.json new file mode 100644 index 0000000000..716b8f8323 --- /dev/null +++ b/data/questions/30/2f/9c66bbe315ef.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=2x^2-8x+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-5],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/34/f30d522f36fd.json b/data/questions/30/34/f30d522f36fd.json new file mode 100644 index 0000000000..417b84081b --- /dev/null +++ b/data/questions/30/34/f30d522f36fd.json @@ -0,0 +1 @@ +{"content":"crwdns3362754:0$ycrwdnd3362754:0$ycrwdnd3362754:0$fcrwdne3362754:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e6fd2de822de80bce3957ce87c407a6387e32284","width":400},"correct":{"coords":[[5,4],[1,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/35/b0a80d1b3edd.json b/data/questions/30/35/b0a80d1b3edd.json new file mode 100644 index 0000000000..68e8398a07 --- /dev/null +++ b/data/questions/30/35/b0a80d1b3edd.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5f0e6588ed805d7eddb1d85418c881c25de5ec42","width":430},"correct":{"coords":[[4.5,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/39/a5b40f0ecca6.json b/data/questions/30/39/a5b40f0ecca6.json new file mode 100644 index 0000000000..d7db5b5f77 --- /dev/null +++ b/data/questions/30/39/a5b40f0ecca6.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(2x^2+7x+5)(x-3)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[3,0],[-2.5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/53/71cdb41e1f32.json b/data/questions/30/53/71cdb41e1f32.json new file mode 100644 index 0000000000..3645accf07 --- /dev/null +++ b/data/questions/30/53/71cdb41e1f32.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle ASH$ after the rotation $R_{90^\\circ}$ about the point $(-3,2)$.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/b89e8eb7fadecaf50ef9abcc075a3fb5da3b28f5.png","width":425},"correct":{"coords":[[-9,-2],[-4,0],[-8,1]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/30/54/7970210c27de.json b/data/questions/30/54/7970210c27de.json new file mode 100644 index 0000000000..90cffd7512 --- /dev/null +++ b/data/questions/30/54/7970210c27de.json @@ -0,0 +1 @@ +{"content":"[Q2] Consider the following trigonometric function:\n\n$\\qquad f(x)=4\\sin(0.5x+\\pi)-3$\n\n**Graph $f(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-4,-3],[-2,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/7f/70bd28d352fd.json b/data/questions/30/7f/70bd28d352fd.json new file mode 100644 index 0000000000..faf760cef3 --- /dev/null +++ b/data/questions/30/7f/70bd28d352fd.json @@ -0,0 +1 @@ +{"content":"**बिन्दु को खींच कर $\\left(8,-5\\right)$ को आलेखित करें। **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,-5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/89/6af212a54997.json b/data/questions/30/89/6af212a54997.json new file mode 100644 index 0000000000..5377bd95ab --- /dev/null +++ b/data/questions/30/89/6af212a54997.json @@ -0,0 +1 @@ +{"content":"crwdns3077849:0$60$crwdnd3077849:0$dcrwdnd3077849:0$d$crwdnd3077849:0$t$crwdnd3077849:0{mph}crwdne3077849:0","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"60"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e873a2844e0f055a21f9b5170525f15b5d42228e.png","width":425},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,8],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,10]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/8c/ac3c1fa9f9f6.json b/data/questions/30/8c/ac3c1fa9f9f6.json new file mode 100644 index 0000000000..0c34f02b2f --- /dev/null +++ b/data/questions/30/8c/ac3c1fa9f9f6.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-6,8)$ and $(-6, -3)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-3],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":11},{"maxError":null,"message":"□□□□□□□□ □□□□ □□□□□□□□ □□□□□□ □□□□□□ 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1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aff3679ed3f844f921fd59ac9b26ea5eeda848b2","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[-2,-6],[3,-4],[-2,-3],[-1,-5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/f4/8779c3595fa7.json b/data/questions/30/f4/8779c3595fa7.json new file mode 100644 index 0000000000..85081810bf --- /dev/null +++ b/data/questions/30/f4/8779c3595fa7.json @@ -0,0 +1 @@ +{"content":"Sarah is transferring the drawing below of a triangular roof to a coordinate plane. She plots point $A$ at $(-6, 3)$ and point $B$ at $(-1, 6)$. The length of the base of the roof is $9$ units in length.\n\n**Plot points $A, B,$ and $C$.**\n\n![](https://ka-perseus-graphie.s3.amazonaws.com/22ea0963f6d6d445dc4b7bba2f81694f01bc9003.png) \n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/22ea0963f6d6d445dc4b7bba2f81694f01bc9003.png":{"height":400,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,3],[-1,6],[3,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/30/f7/fb94387fb7fd.json b/data/questions/30/f7/fb94387fb7fd.json new file mode 100644 index 0000000000..90a2c539d9 --- /dev/null +++ b/data/questions/30/f7/fb94387fb7fd.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $0.2$ units in $t$ corresponds to an increase of $1.8$ units in $d$.\n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d?$) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the line.\n**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[1,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/1f/0ed646a7ea77.json b/data/questions/31/1f/0ed646a7ea77.json new file mode 100644 index 0000000000..029a602c46 --- /dev/null +++ b/data/questions/31/1f/0ed646a7ea77.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw a right triangle with a right angle at $(-8, 2)$, another vertex at $(-8, 5)$, and a base that is parallel to the $x$-axis and three times its height.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,2],[-8,5],[1,2]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/36/90e4ce307800.json b/data/questions/31/36/90e4ce307800.json new file mode 100644 index 0000000000..e96851116b --- /dev/null +++ b/data/questions/31/36/90e4ce307800.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(2x-1)(x+3)(x+1)(x-2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0.5,0],[-3,0],[-1,0],[2,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/39/a46860c6403c.json b/data/questions/31/39/a46860c6403c.json new file mode 100644 index 0000000000..d1bcc85a81 --- /dev/null +++ b/data/questions/31/39/a46860c6403c.json @@ -0,0 +1 @@ +{"content":"Three of the points that define a certain quadrilateral are $(-2,-3)$, $(-6,5)$, and $(-2,7)$. The quadrilateral has reflective symmetry over the line $y=\\dfrac x2 + 3$.\n\n**Draw and classify the quadrilateral described above.** \n(Choose the most specific description.)\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/32b0057fa44e6e08c6b343fb70023df43b52b681","width":400},"correct":{"coords":[[-6,5],[-2,7],[2,-1],[-2,-3]],"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"वर्ग (Square)","correct":false},{"content":"आयत (Rectangle)","correct":true},{"content":"समचतुर्भुज (Rhombus)","correct":false},{"content":"समांतर चतुर्भुज (Parallelogram)","correct":false},{"content":"समलंब चतुर्भुज (Trapezoid)","correct":false},{"content":"Kite","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/31/41/d61973dbfa88.json b/data/questions/31/41/d61973dbfa88.json new file mode 100644 index 0000000000..c68693e84c --- /dev/null +++ b/data/questions/31/41/d61973dbfa88.json @@ -0,0 +1 @@ +{"content":"[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"ellipse","center":[0,0],"radius":[1,1],"angle":0,"color":"grayH","fillStyle":"none","strokeStyle":"solid"}],"fullGraphAriaLabel":"Unlimited Point Graph","graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-5,0],[5,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/59/bcdc7040aa94.json b/data/questions/31/59/bcdc7040aa94.json new file mode 100644 index 0000000000..a4c2f5ff8f --- /dev/null +++ b/data/questions/31/59/bcdc7040aa94.json @@ -0,0 +1 @@ +{"content":"crwdns3190295:0crwdne3190295:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3190237:0crwdne3190237:0","correct":false},{"content":"crwdns3190182:0crwdne3190182:0","correct":false},{"content":"crwdns3190181:0{C}crwdne3190181:0","correct":false,"isNoneOfTheAbove":false},{"content":"crwdns3190185:0crwdne3190185:0","correct":true,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/31/67/21eb23b3e912.json b/data/questions/31/67/21eb23b3e912.json new file mode 100644 index 0000000000..6151f82398 --- /dev/null +++ b/data/questions/31/67/21eb23b3e912.json @@ -0,0 +1 @@ +{"content":"Coach Kawa collected data on $5$ of his baseball players. The points show shoe size and the number of runs scored this week by $4$ of his players. His fifth player, Nardine, wears size $7$ shoes and scored $9$ runs this week.\n \n**Plot Nardine's shoe size and runs on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which player scored the most runs?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c8d86e12cc04becc9993bd50adf87e1a9725369c","width":400},"correct":{"coords":[[7,9]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□",""],"markings":"none","range":[[-2,13],[-2,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□□□","correct":false},{"content":"□□□□□","correct":false},{"content":"□□□□□","correct":false},{"content":"□□□□□□□","correct":false},{"content":"□□□□□□","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/31/79/a62324296e58.json b/data/questions/31/79/a62324296e58.json new file mode 100644 index 0000000000..2accd01be7 --- /dev/null +++ b/data/questions/31/79/a62324296e58.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $CORN$ is reflected over the line $y=4x-1$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 7]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/64a1fc4318ce6d32779ca555616f1f8be00bfae0","width":425},"correct":{"coords":[[7,-4],[3,7],[7,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/372593c3d5d80add927a46faf6dde84144f0b4f1","width":425},"correct":{"coords":[[-5,2],[-3,-4],[-8,-7],[1,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea484ceafccc9b239ef9dda71abf7ece1d4ffb92","width":425},"correct":{"coords":[[-2,-7],[5,-5],[3,2],[3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 7":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c4c060003d1e805c2ed442eaf9c7dbe3da8f78e","width":425},"correct":{"coords":[[-9,-3],[-5,-4],[9,1],[-4,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/7b/d30850cbbbc7.json b/data/questions/31/7b/d30850cbbbc7.json new file mode 100644 index 0000000000..e0b158bdd3 --- /dev/null +++ b/data/questions/31/7b/d30850cbbbc7.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about point $P$ with a scale factor of $4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e20ecc9ed54fb40c91748aacbb4436b5297f1c5","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/7c/a41399d8f90a.json b/data/questions/31/7c/a41399d8f90a.json new file mode 100644 index 0000000000..fdd2151a84 --- /dev/null +++ b/data/questions/31/7c/a41399d8f90a.json @@ -0,0 +1 @@ +{"content":"Paulette squints at a map of her city's streets. \n\n(show map with a scale with \"Perseus Park\" labeled)\n\n\"This map is too small for me to read.\" she sighs. \"I need a bigger map.\"\n\n**You must help Paulette! Move the points to redraw Perseus Park on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/8f/136698d5928e.json b/data/questions/31/8f/136698d5928e.json new file mode 100644 index 0000000000..bba2b7e37f --- /dev/null +++ b/data/questions/31/8f/136698d5928e.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $6$, $8$, and $10$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.329896834046579,4.941176470588235],[3.329896829422368,10.941176464422599],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[0,15],[0,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/93/d314957295c1.json b/data/questions/31/93/d314957295c1.json new file mode 100644 index 0000000000..85b6406247 --- /dev/null +++ b/data/questions/31/93/d314957295c1.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=2\\cos(0.5x-0.25\\pi)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[3,-5],[1,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/97/023bfb5f7efe.json b/data/questions/31/97/023bfb5f7efe.json new file mode 100644 index 0000000000..37351e389c --- /dev/null +++ b/data/questions/31/97/023bfb5f7efe.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism whose base is a $3\\times 3$ square and whose height is $6$. \n\n![square prism vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/94bf14f4775048a20e633abd42558d8e108ecfab.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the prism.** \n\nAssume the vertical slice is parallel to one of the sides of the prism.\n\n[[☃ interactive-graph 1]] ","images":{"https://ka-perseus-graphie.s3.amazonaws.com/94bf14f4775048a20e633abd42558d8e108ecfab.png":{"height":400,"width":200}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,1],[4,7],[1,7],[1,1]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"grid","range":[[0,9],[0,9]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/ae/1bd033a58061.json b/data/questions/31/ae/1bd033a58061.json new file mode 100644 index 0000000000..a1963bba5a --- /dev/null +++ b/data/questions/31/ae/1bd033a58061.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-4,4)$, and the upper-right coordinates are $(4,4)$. The rectangle has a perimeter of $20$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[4,2],[4,4],[-4,4],[-4,2]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/ae/889c8be06db2.json b/data/questions/31/ae/889c8be06db2.json new file mode 100644 index 0000000000..fb3c1e56ab --- /dev/null +++ b/data/questions/31/ae/889c8be06db2.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$3$|$6$|$9$|$12$\n$y$|$0$|$0.5$|$1.0$|$1.5$|$2.0$\n\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.16666666666666666},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[6,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/c3/3323461292f6.json b/data/questions/31/c3/3323461292f6.json new file mode 100644 index 0000000000..d82e349ac1 --- /dev/null +++ b/data/questions/31/c3/3323461292f6.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,-3)$ and has a radius of $6$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/ca/29a89dee0ab2.json b/data/questions/31/ca/29a89dee0ab2.json new file mode 100644 index 0000000000..cb600ad461 --- /dev/null +++ b/data/questions/31/ca/29a89dee0ab2.json @@ -0,0 +1 @@ +{"content":"[Q2] Draw a circle with radius $15$, centered at $(5, 0)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[5,0],"radius":15}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/d3/966bca077c63.json b/data/questions/31/d3/966bca077c63.json new file mode 100644 index 0000000000..7746989d33 --- /dev/null +++ b/data/questions/31/d3/966bca077c63.json @@ -0,0 +1 @@ +{"content":"**Graph the point $(0,?)$ that is a solution to the equation:**\n\n$y-1=2(x+3)$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,7]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/d7/f21d3bd60a9a.json b/data/questions/31/d7/f21d3bd60a9a.json new file mode 100644 index 0000000000..302598a81c --- /dev/null +++ b/data/questions/31/d7/f21d3bd60a9a.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(2,9)$, $(2,0)$, $(0,0)$, and $(0,9)$.\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the length of the shorter side of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[2,0],[0,9],[2,9]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/31/da/8e972226c3dd.json b/data/questions/31/da/8e972226c3dd.json new file mode 100644 index 0000000000..e0fb5c1585 --- /dev/null +++ b/data/questions/31/da/8e972226c3dd.json @@ -0,0 +1 @@ +{"content":"Max's Department Store receives stuffed bears in boxes that each contain $2$ stuffed bears.\n\n\n\n**Sketch a graph below that represents this relationship.**\n\n\n\n**Which of the following equations could be used to find the number of stuffed animals Max's Department Store receives, $y$, when they receive $3$ boxes?** \n\n[[☃ radio 1]]\n\n**Find $y$.**\n\n$y = $ [[☃ numeric-input 1]]\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-images.s3.amazonaws.com/ad576d51bec7f62583d5183843029c8ab9979bf5.png":{"height":382,"width":382}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["crwdns4129953:0{Boxes}crwdne4129953:0","\\text{Bears}"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$\\dfrac{1}{2} = \\dfrac{3}{y}$","correct":true},{"content":"$\\dfrac{1}{2} = \\dfrac{y}{3}$"},{"content":"$\\dfrac{2}{1} = \\dfrac{y}{3}$","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/00/4bfb9f9e2eb5.json b/data/questions/32/00/4bfb9f9e2eb5.json new file mode 100644 index 0000000000..867cb90cba --- /dev/null +++ b/data/questions/32/00/4bfb9f9e2eb5.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\cos\\left(\\dfrac{\\pi}{12}x\\right)+6$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,6],[0,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/01/9cdd6c1ac5ab.json b/data/questions/32/01/9cdd6c1ac5ab.json new file mode 100644 index 0000000000..297ad061df --- /dev/null +++ b/data/questions/32/01/9cdd6c1ac5ab.json @@ -0,0 +1 @@ +{"content":"**Construct a $150^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/4a59745f780899028ed8278385c0903147b88f65.png":{"height":148,"width":399},"https://ka-perseus-images.s3.amazonaws.com/54ef5c58e63810b1ae446d7eb4c0a712a619cd97.png":{"height":214,"width":399}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8.84668170998922,-3.892365933302787],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/1a/2db496daea16.json b/data/questions/32/1a/2db496daea16.json new file mode 100644 index 0000000000..dbba4e8215 --- /dev/null +++ b/data/questions/32/1a/2db496daea16.json @@ -0,0 +1 @@ +{"content":"$\\triangle{YIP}$ is reflected over the line $y=2x+5$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/216537b0280134b2effc8974548d7217a6742850","width":425},"correct":{"coords":[[1,1],[1,4],[-4,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad75d041b76209ed3528c53beedbb12b7ab94c86","width":425},"correct":{"coords":[[-1,8],[4,3],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/20/fe929cf8f9b9.json b/data/questions/32/20/fe929cf8f9b9.json new file mode 100644 index 0000000000..61fb05f154 --- /dev/null +++ b/data/questions/32/20/fe929cf8f9b9.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdeb738e7771157cec934aae3da9b7382a2b6d5d","width":430},"correct":{"coords":[[-4,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/29/aec09f4e42f8.json b/data/questions/32/29/aec09f4e42f8.json new file mode 100644 index 0000000000..cf47067a12 --- /dev/null +++ b/data/questions/32/29/aec09f4e42f8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +4y -60=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[0,-2],"radius":8}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/2a/1eeea8cca76d.json b/data/questions/32/2a/1eeea8cca76d.json new file mode 100644 index 0000000000..dd6ba827ff --- /dev/null +++ b/data/questions/32/2a/1eeea8cca76d.json @@ -0,0 +1 @@ +{"content":"**Construct a $150^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/4a59745f780899028ed8278385c0903147b88f65.png":{"height":148,"width":399},"https://ka-perseus-images.s3.amazonaws.com/54ef5c58e63810b1ae446d7eb4c0a712a619cd97.png":{"height":214,"width":399}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8.84668170998922,-3.892365933302787],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/35/c60610d9ab90.json b/data/questions/32/35/c60610d9ab90.json new file mode 100644 index 0000000000..f496756a2d --- /dev/null +++ b/data/questions/32/35/c60610d9ab90.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(1,6)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/56/790fe1c83f20.json b/data/questions/32/56/790fe1c83f20.json new file mode 100644 index 0000000000..46e2782e2e --- /dev/null +++ b/data/questions/32/56/790fe1c83f20.json @@ -0,0 +1 @@ +{"content":"[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,1],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/5f/9db5a3a68557.json b/data/questions/32/5f/9db5a3a68557.json new file mode 100644 index 0000000000..77a4da58d7 --- /dev/null +++ b/data/questions/32/5f/9db5a3a68557.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(2x-1)(x+3)(x+1)(x-2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0.5,0],[-3,0],[-1,0],[2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/6f/3d888eb20c58.json b/data/questions/32/6f/3d888eb20c58.json new file mode 100644 index 0000000000..b9b0c085b4 --- /dev/null +++ b/data/questions/32/6f/3d888eb20c58.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad y=-4x-1$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-1],[1,-5]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/79/bf9ddf200249.json b/data/questions/32/79/bf9ddf200249.json new file mode 100644 index 0000000000..6dd0347665 --- /dev/null +++ b/data/questions/32/79/bf9ddf200249.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units to the left and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6d68f4a08a77506cbc4bdea3920255e82b709438","width":425},"correct":{"coords":[[3,-7],[-5,1],[-7,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/7d/fd687064512f.json b/data/questions/32/7d/fd687064512f.json new file mode 100644 index 0000000000..5318694637 --- /dev/null +++ b/data/questions/32/7d/fd687064512f.json @@ -0,0 +1 @@ +{"content":"crwdns4242794:0$20$crwdne4242794:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,2],[4,4],[-4,4],[-4,2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/7e/508f584787ec.json b/data/questions/32/7e/508f584787ec.json new file mode 100644 index 0000000000..5bc8d8cca2 --- /dev/null +++ b/data/questions/32/7e/508f584787ec.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(4,3)$ and has a slope of $\\dfrac12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[4,3],[6,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/7f/c8652b75e396.json b/data/questions/32/7f/c8652b75e396.json new file mode 100644 index 0000000000..a9bd8340c5 --- /dev/null +++ b/data/questions/32/7f/c8652b75e396.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1eb68d0c4f945072381d1cac9e146878e74f2762","width":400},"correct":{"coords":[[5,-1],[5,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-5,6],[-5,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":24}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/86/14864b2da9f0.json b/data/questions/32/86/14864b2da9f0.json new file mode 100644 index 0000000000..98e10beda8 --- /dev/null +++ b/data/questions/32/86/14864b2da9f0.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=3|x -5|+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,1],[6,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/99/d435b42b0ae9.json b/data/questions/32/99/d435b42b0ae9.json new file mode 100644 index 0000000000..5cd8c5c92e --- /dev/null +++ b/data/questions/32/99/d435b42b0ae9.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(4,4)$ and has a radius of $3$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[4,4],"radius":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/a2/c255d7380c1d.json b/data/questions/32/a2/c255d7380c1d.json new file mode 100644 index 0000000000..70c1f511ad --- /dev/null +++ b/data/questions/32/a2/c255d7380c1d.json @@ -0,0 +1 @@ +{"content":"crwdns6645728:0$f$crwdnd6645728:0$f$crwdne6645728:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/144252ee6f637db17494b7fb8f47cfe495a2f1d1","width":400},"correct":{"coords":[[0,16]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,10],[-2,28]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/a8/d305269de821.json b/data/questions/32/a8/d305269de821.json new file mode 100644 index 0000000000..96c31def51 --- /dev/null +++ b/data/questions/32/a8/d305269de821.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points $A$ and $C$ to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/668d416edbfdf5e3c31d3ad849d03611b79a3a47","width":400},"correct":{"coords":[[[2,6],[6,5]],[[2,0],[6,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/ae/ee2b77ee6d21.json b/data/questions/32/ae/ee2b77ee6d21.json new file mode 100644 index 0000000000..a2289216e3 --- /dev/null +++ b/data/questions/32/ae/ee2b77ee6d21.json @@ -0,0 +1 @@ +{"content":"Timothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,10],[11,15],[18,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[2,5],"labels":["$\\text{Km}$","$\\text{Minutes}$"],"markings":"graph","range":[[-4,22],[-4,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,5],"step":[2,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/32/b3/154e25b01464.json b/data/questions/32/b3/154e25b01464.json new file mode 100644 index 0000000000..ba90222433 --- /dev/null +++ b/data/questions/32/b3/154e25b01464.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(1,9)$ and $(3,2)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a82b4098da55c75b68d2c1fd9f348923b8935ccb","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"segment"},"correct":{"type":"segment","coords":[[[9,1],[2,3]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/b9/2fed43ba9861.json b/data/questions/32/b9/2fed43ba9861.json new file mode 100644 index 0000000000..11f3b0b6fd --- /dev/null +++ b/data/questions/32/b9/2fed43ba9861.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c41fb049d4d9011616344958c8e7075fe32c6384","width":425},"correct":{"coords":[[-1,3],[-7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/e0/8fd8fe12b61a.json b/data/questions/32/e0/8fd8fe12b61a.json new file mode 100644 index 0000000000..2d40fa07e3 --- /dev/null +++ b/data/questions/32/e0/8fd8fe12b61a.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{5}{4}(x-1)(x+3)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,5],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/e1/5e2a1ff3ab7b.json b/data/questions/32/e1/5e2a1ff3ab7b.json new file mode 100644 index 0000000000..63293c15cc --- /dev/null +++ b/data/questions/32/e1/5e2a1ff3ab7b.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/09a643bd9d7abbbb37243c5f0f2b545d2d8cbcdd","width":425},"correct":{"coords":[[-4,-4],[-2,0],[-6,-5]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/ec/444463e6eff8.json b/data/questions/32/ec/444463e6eff8.json new file mode 100644 index 0000000000..ca28ea8a68 --- /dev/null +++ b/data/questions/32/ec/444463e6eff8.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle ASH$ after the rotation $R_{90^\\circ}$ about the point $(-3,2)$.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/b89e8eb7fadecaf50ef9abcc075a3fb5da3b28f5.png","width":425},"correct":{"coords":[[-9,-2],[-4,0],[-8,1]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/32/f8/51fd888a51c7.json b/data/questions/32/f8/51fd888a51c7.json new file mode 100644 index 0000000000..46f7fa80e4 --- /dev/null +++ b/data/questions/32/f8/51fd888a51c7.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f1ca0139d296783f651668ce4fd27da0f50a6cf2","width":425},"correct":{"coords":[[-1,3],[3,3],[-6,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/32/f8/5e69addc592f.json b/data/questions/32/f8/5e69addc592f.json new file mode 100644 index 0000000000..bbdc6112fe --- /dev/null +++ b/data/questions/32/f8/5e69addc592f.json @@ -0,0 +1 @@ +{"content":"crwdns6547128:0crwdne6547128:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,1],[5,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/33/1f/4d904ad4b89a.json b/data/questions/33/1f/4d904ad4b89a.json new file mode 100644 index 0000000000..5cf4ecbfde --- /dev/null +++ b/data/questions/33/1f/4d904ad4b89a.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-\\log_2(x+2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/33/1f/940837a46de6.json b/data/questions/33/1f/940837a46de6.json new file mode 100644 index 0000000000..30d3b6d29c --- /dev/null +++ b/data/questions/33/1f/940837a46de6.json @@ -0,0 +1 @@ +{"content":"crwdns4128061:0$A$crwdne4128061:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37365d2280c6e7f7e98a3ed34ea9cbcab496022e","width":425},"correct":{"coords":[[1,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/33/21/1cc535c46bca.json b/data/questions/33/21/1cc535c46bca.json new file mode 100644 index 0000000000..faad86dfa9 --- /dev/null +++ b/data/questions/33/21/1cc535c46bca.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 2|x-3|-6, ~~\\text{Domain}~~[-4,5]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number"},"interactive-graph 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For last week's game, he bought hot dogs, buns and condiments for $\\$8$ at the store, and sold the hot dogs for $\\$1$ each at the game. The graph below shows the profit $y$ he made as a function of the number $x$ of hot dogs sold.\n\n![](https://ka-perseus-graphie.s3.amazonaws.com/42b45e394ab5794433318bb89f40524bd335baaa.png)\n\nThis week, Phil buys less hot dogs and buns, spending only $\\$6$ at the store.\n**What will be the graph of the profit for this week?**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/42b45e394ab5794433318bb89f40524bd335baaa.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-6],[6,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-2,15],[-9,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git 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1":{"type":"video","alignment":"block","static":false,"graded":true,"options":{"static":false,"location":""},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/33/70/24dfc0334f28.json b/data/questions/33/70/24dfc0334f28.json new file mode 100644 index 0000000000..60c1942b14 --- /dev/null +++ b/data/questions/33/70/24dfc0334f28.json @@ -0,0 +1 @@ +{"content":"crwdns4128063:0$B$crwdnd4128063:0$P$crwdnd4128063:0{1}crwdnd4128063:0{4}crwdne4128063:0","images":{},"widgets":{"interactive-graph 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+{"content":"crwdns4089706:0$6$crwdnd4089706:0{B}crwdnd4089706:0$y$crwdnd4089706:0{B}crwdne4089706:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/faaca03688aa5060cb8b942bc569487278b5ddd5","width":425},"correct":{"coords":[[7,3],[-5,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/33/85/c6c1467d5a35.json b/data/questions/33/85/c6c1467d5a35.json new file mode 100644 index 0000000000..b86af37274 --- /dev/null +++ b/data/questions/33/85/c6c1467d5a35.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{B}$ and goes through point $\\text{A}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":false},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":true},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":true},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/0c87ba209904429b2dfaa88979dc4243fb25f3a6.png","width":400},"correct":{"coords":[[0,8],[2,-5]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/33/8b/3dfc954d687f.json b/data/questions/33/8b/3dfc954d687f.json new file mode 100644 index 0000000000..595692f6e2 --- /dev/null +++ b/data/questions/33/8b/3dfc954d687f.json @@ -0,0 +1 @@ +{"content":"crwdns3384978:0$1$crwdnd3384978:0$25$crwdne3384978:0","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/33/8d/904bccf9e06c.json b/data/questions/33/8d/904bccf9e06c.json new file mode 100644 index 0000000000..18ef280d88 --- /dev/null +++ b/data/questions/33/8d/904bccf9e06c.json @@ -0,0 +1 @@ +{"content":"Here's a graph of a quadratic function $h$.\n\n[[☃ image 1]]\n\n**What's the domain of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A segment of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 9, negative 2.5). There is an open, unfilled circle at the point (6, 5). There is a curve between these two points, connecting them. From left to right, it travels down reaching a minimum h of x value at (negative 4, negative 5), then travels up to the open circle.","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/76d328eae2803aa06289bbbf4b25a27de0ce48a0","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$-9 \\leq x < 6$","correct":true},{"content":"$-9=20000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 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b/data/questions/35/04/0fd10f069a68.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under the translation $(x,y)\\to(x-4,y-6)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/07a1aef47754b2d28626622d230dee129e00732e","width":425},"correct":{"coords":[[-6,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/07/62246f1186e8.json b/data/questions/35/07/62246f1186e8.json new file mode 100644 index 0000000000..af71ba98a5 --- /dev/null +++ b/data/questions/35/07/62246f1186e8.json @@ -0,0 +1 @@ +{"content":"crwdns6546691:0crwdne6546691:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,9],[6,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/0a/ee6618604114.json b/data/questions/35/0a/ee6618604114.json new file mode 100644 index 0000000000..0b6dac9fc7 --- /dev/null +++ b/data/questions/35/0a/ee6618604114.json @@ -0,0 +1 @@ +{"content":"**Graph the best function in the world.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[-1.5,5],[3.5,2]],"asymptote":null},"availableTypes":["linear","sinusoid","exponential","quadratic","absolute_value","tangent","logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"box":[340,340]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/0e/5f6dfc76bfe8.json b/data/questions/35/0e/5f6dfc76bfe8.json new file mode 100644 index 0000000000..e53254922b --- /dev/null +++ b/data/questions/35/0e/5f6dfc76bfe8.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=4\\cos(0.25x-0.25\\pi)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[6,-3],[2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/13/e63e7ec7d077.json b/data/questions/35/13/e63e7ec7d077.json new file mode 100644 index 0000000000..fbe8637e99 --- /dev/null +++ b/data/questions/35/13/e63e7ec7d077.json @@ -0,0 +1 @@ +{"content":"Andre is making cookies for his classmates. He has $60$ minutes before he has to leave for school. It takes $12$ minutes to bake each sheet of cookies. In the graph below, $c$ represents the number of sheets of cookies Andre bakes, and $m$ represents the number of minutes remaining until Andre has to leave for school.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$m = 60-12c$\n\n**Plot points on the graph that show the number of minutes remaining until Andre has to leave for school if he bakes $3$ sheets of cookies and $5$ sheets of cookies.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[3,24],[5,0]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["\\text{Sheets of cookies}","\\text{Minutes remaining}"],"markings":"graph","range":[[-1,10],[-1,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/18/d66bdfa7c34b.json b/data/questions/35/18/d66bdfa7c34b.json new file mode 100644 index 0000000000..602dc6ad97 --- /dev/null +++ b/data/questions/35/18/d66bdfa7c34b.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=-|x -6|+3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[6,3],[7,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/19/339a72391e09.json b/data/questions/35/19/339a72391e09.json new file mode 100644 index 0000000000..b29d56807d --- /dev/null +++ b/data/questions/35/19/339a72391e09.json @@ -0,0 +1 @@ +{"content":"crwdns2964247:0$10$crwdnd2964247:0$x$crwdne2964247:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,-4],[-3,8],[2,-4]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/26/2196d7653f49.json b/data/questions/35/26/2196d7653f49.json new file mode 100644 index 0000000000..acb2571c6f --- /dev/null +++ b/data/questions/35/26/2196d7653f49.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{2}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b2e498acf14a84e67e5628d67c18c098b2170aba","width":400},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/2d/7d73a1ddc5e8.json b/data/questions/35/2d/7d73a1ddc5e8.json new file mode 100644 index 0000000000..7c5e6e8194 --- /dev/null +++ b/data/questions/35/2d/7d73a1ddc5e8.json @@ -0,0 +1 @@ +{"content":"crwdns4075260:0$gcrwdne4075260:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,6],[0,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/31/d840f15bfcf9.json b/data/questions/35/31/d840f15bfcf9.json new file mode 100644 index 0000000000..2100652fa5 --- /dev/null +++ b/data/questions/35/31/d840f15bfcf9.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd58950fe8fbd8112b974a3c7a9c027cb131fc5e","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[6,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/3a/aa86ee6b978f.json b/data/questions/35/3a/aa86ee6b978f.json new file mode 100644 index 0000000000..f224709776 --- /dev/null +++ b/data/questions/35/3a/aa86ee6b978f.json @@ -0,0 +1 @@ +{"content":"**Construct a $70^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-2.8247759450082897,-1.2389918760711316],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/4e/be8e2c41fa3e.json b/data/questions/35/4e/be8e2c41fa3e.json new file mode 100644 index 0000000000..75c05a8cac --- /dev/null +++ b/data/questions/35/4e/be8e2c41fa3e.json @@ -0,0 +1 @@ +{"content":"Sandy believes that the ideal man's head is $\\dfrac{1}{7}$ of his entire height.\n\n**Move the points to draw a head of ideal proportions on the figure below. Represent the head as a square.**\n\n(put an image of a statue in the background)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/60/5f2557012cad.json b/data/questions/35/60/5f2557012cad.json new file mode 100644 index 0000000000..9729e57c5d --- /dev/null +++ b/data/questions/35/60/5f2557012cad.json @@ -0,0 +1 @@ +{"content":"crwdns4075254:0$fcrwdne4075254:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,2],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/6a/06f9100e6131.json b/data/questions/35/6a/06f9100e6131.json new file mode 100644 index 0000000000..b54d14dc1a --- /dev/null +++ b/data/questions/35/6a/06f9100e6131.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24d3859d6af72989cd8a5e1e562edff98b4ed146","width":430},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/7a/5d0d95a301cd.json b/data/questions/35/7a/5d0d95a301cd.json new file mode 100644 index 0000000000..61e66f5404 --- /dev/null +++ b/data/questions/35/7a/5d0d95a301cd.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=-5x^2-20x-15$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-2,5],[-1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-3}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/8b/c1970e3658a5.json b/data/questions/35/8b/c1970e3658a5.json new file mode 100644 index 0000000000..58a6bfa66f --- /dev/null +++ b/data/questions/35/8b/c1970e3658a5.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=-\\dfrac{4}{3}x\n\\\\\\\\\ny=x+7\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,12]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,1],"coords":[[[-1,6],[0,7]],[[0,0],[-3,4]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-3,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/97/b2ef52169db3.json b/data/questions/35/97/b2ef52169db3.json new file mode 100644 index 0000000000..1fb0f6e5b3 --- /dev/null +++ b/data/questions/35/97/b2ef52169db3.json @@ -0,0 +1 @@ +{"content":"**Construct a $110^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[3.4209731939959758,0.39904660306349626],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/a5/5d6dda2b91d4.json b/data/questions/35/a5/5d6dda2b91d4.json new file mode 100644 index 0000000000..30878e92fa --- /dev/null +++ b/data/questions/35/a5/5d6dda2b91d4.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to build its new location halfway between the towns of Springfield and Greenville. Springfield is located at $(10,3)$ on the map below. Greenville is located at $(10,11)$. \n\n**Plot Springfield, Greenville, and the new shelter on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the animal shelter build its new location?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[10,3],[10,7],[10,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/b7/9b2435879975.json b/data/questions/35/b7/9b2435879975.json new file mode 100644 index 0000000000..9464d4d5c6 --- /dev/null +++ b/data/questions/35/b7/9b2435879975.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=x^2+2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-1],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/be/7d23546684c9.json b/data/questions/35/be/7d23546684c9.json new file mode 100644 index 0000000000..d9ef058393 --- /dev/null +++ b/data/questions/35/be/7d23546684c9.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $\\dfrac53$, $0$, and $-\\dfrac23$.**\n\n[[☃ radio 1]]","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/b25ea8a1c2fbce4fd6b0da5f5a7cc32152e4c9a8)\n","correct":true},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/700b7b70bc55d055a9b980f34a74441046161869)","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2aa6e5e76bb5eb0706488b1fd3f4fe40dea80a69)","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/bf/14f5bdf89224.json b/data/questions/35/bf/14f5bdf89224.json new file mode 100644 index 0000000000..6b1c40d340 --- /dev/null +++ b/data/questions/35/bf/14f5bdf89224.json @@ -0,0 +1 @@ +{"content":"A doctor studying nutrition collected data on the heights (in meters) of children in America. The table below shows the mean heights for children of different ages in the study.\n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Age (years)** | $5$ | $6$ | $8$ | $10$ | $12$ \n**Height (meters)** | $1.1$ | $1.2$ | $1.3$ | $1.4$ | $1.5$\n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,0.5],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Age}$","$\\text{Height}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,13],[-0.2,1.8]],"gridStep":[1,0.1],"snapStep":[1,0.1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[5,1.1],[6,1.2000000000000002],[8,1.3],[10,1.4000000000000001],[12,1.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/ce/844d22d0a7e7.json b/data/questions/35/ce/844d22d0a7e7.json new file mode 100644 index 0000000000..0384abd1d5 --- /dev/null +++ b/data/questions/35/ce/844d22d0a7e7.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{1}{2}x-6\n\\\\\\\\\ny=-2x+9\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,9],[1,7]],[[0,-6],[2,-5]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,0.5],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-3}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/d2/f88675592788.json b/data/questions/35/d2/f88675592788.json new file mode 100644 index 0000000000..87afc9f169 --- /dev/null +++ b/data/questions/35/d2/f88675592788.json @@ -0,0 +1 @@ +{"content":"crwdns2975586:0crwdne2975586:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,5],[-3,4],[-5,1],[-4.5,-4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/35/da/33548cccf4d3.json b/data/questions/35/da/33548cccf4d3.json new file mode 100644 index 0000000000..5886293d64 --- /dev/null +++ b/data/questions/35/da/33548cccf4d3.json @@ -0,0 +1 @@ +{"content":"Jozy throws a stone off of a bridge into a river. The function $f$ models the stone's height (in meters) above the water as a function of time (in seconds) after Jozy throws it.\n\n**Plot the point on the graph of $f$ that corresponds to the height above the water from which Jozy threw the stone.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ef382fead9b6e71f8e3da5be90ec8c7907bc54a4","width":400},"correct":{"coords":[[0,25]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,5],"labels":["□","□"],"markings":"none","range":[[-2,7],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/eb/736d4ec3a888.json b/data/questions/35/eb/736d4ec3a888.json new file mode 100644 index 0000000000..cf917c6425 --- /dev/null +++ b/data/questions/35/eb/736d4ec3a888.json @@ -0,0 +1 @@ +{"content":"crwdns3138690:0crwdne3138690:0","images":{"https://ka-perseus-images.s3.amazonaws.com/81ba0cd809b3b4eead16c147700619fb289ed1d1.png":{"height":229,"width":161},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["crwdns3138694:0crwdne3138694:0","crwdns3138734:0crwdne3138734:0"],"left":["crwdns3138671:0{A}crwdne3138671:0","crwdns3138646:0{B}crwdne3138646:0","crwdns3138662:0{C}crwdne3138662:0"],"orderMatters":false,"padding":true,"right":["$-5.75$","crwdns3138632:0crwdne3138632:0","crwdns3138631:0crwdne3138631:0"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/ed/d024a316783a.json b/data/questions/35/ed/d024a316783a.json new file mode 100644 index 0000000000..2f2f108f18 --- /dev/null +++ b/data/questions/35/ed/d024a316783a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +8x -2y -19=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-4,1],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/35/ef/fc3a2557df43.json b/data/questions/35/ef/fc3a2557df43.json new file mode 100644 index 0000000000..8a2db7181c --- /dev/null +++ b/data/questions/35/ef/fc3a2557df43.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=-x+6\n\\\\\\\\\n& 5x+5y=15\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,3],[1,2]],[[0,6],[1,5]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"ÉÈẍẋáàćĉťțĺľý óòńňéè śŝóòĺľúùťțíìóòńň","correct":false},{"content":"ŃŇóò śŝóòĺľúùťțíìóòńňśŝ","correct":true},{"content":"ÎÏńňḟíìńňíìťțéèĺľý ḿṁáàńňý śŝóòĺľúùťțíìóòńňśŝ","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/35/f1/6fb3372e5aac.json b/data/questions/35/f1/6fb3372e5aac.json new file mode 100644 index 0000000000..f898b44266 --- /dev/null +++ b/data/questions/35/f1/6fb3372e5aac.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdeb738e7771157cec934aae3da9b7382a2b6d5d","width":430},"correct":{"coords":[[-4,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/14/bae427032a0c.json b/data/questions/36/14/bae427032a0c.json new file mode 100644 index 0000000000..80672dcf86 --- /dev/null +++ b/data/questions/36/14/bae427032a0c.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/236e5ec455b9b95f4596553cdd50ab16b31681d7","width":425},"correct":{"coords":[[-2,-1],[-2,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/18/1eaad9b4fd01.json b/data/questions/36/18/1eaad9b4fd01.json new file mode 100644 index 0000000000..9f785467c5 --- /dev/null +++ b/data/questions/36/18/1eaad9b4fd01.json @@ -0,0 +1 @@ +{"content":"Rico opens an ice cream shop. The function $f$ models the shop's net worth (in thousands of dollars) as a function of time (in months) after Rico opens it.\n\n**Plot the point on the graph of $f$ that corresponds to the shop's net worth when Rico opens it.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0556104f4a8ef7f6488919e51ad981bd722d40dd","width":400},"correct":{"coords":[[0,-5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,5],"labels":["□","□"],"markings":"none","range":[[-2,7],[-12,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/21/8292bde6944e.json b/data/questions/36/21/8292bde6944e.json new file mode 100644 index 0000000000..19498cce8c --- /dev/null +++ b/data/questions/36/21/8292bde6944e.json @@ -0,0 +1 @@ +{"content":"crwdns2695014:0crwdne2695014:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[9.042237334209203,-4.783535484203209],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/2a/1375db678926.json b/data/questions/36/2a/1375db678926.json new file mode 100644 index 0000000000..db21247fb9 --- /dev/null +++ b/data/questions/36/2a/1375db678926.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-6,1)$ and has a slope of $5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[-6,1],[-5,6]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/31/3c10dad8db1f.json b/data/questions/36/31/3c10dad8db1f.json new file mode 100644 index 0000000000..9c4ddbba93 --- /dev/null +++ b/data/questions/36/31/3c10dad8db1f.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+3)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/34/bb98b327762e.json b/data/questions/36/34/bb98b327762e.json new file mode 100644 index 0000000000..c8f6d4bee6 --- /dev/null +++ b/data/questions/36/34/bb98b327762e.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=3x(x-2)(2x-7)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[2,0],[3.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/51/b5e7f3f6d383.json b/data/questions/36/51/b5e7f3f6d383.json new file mode 100644 index 0000000000..c35966b62d --- /dev/null +++ b/data/questions/36/51/b5e7f3f6d383.json @@ -0,0 +1 @@ +{"content":"crwdns6347459:0$ycrwdne6347459:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-6,3],[4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/5a/fc5adc2ff91e.json b/data/questions/36/5a/fc5adc2ff91e.json new file mode 100644 index 0000000000..2bbf9439c2 --- /dev/null +++ b/data/questions/36/5a/fc5adc2ff91e.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f72cd72e879d0f5df1b5866d97d60e5d26bd4bd","width":425},"correct":{"coords":[[-3,-1],[1,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/5b/373456ed5554.json b/data/questions/36/5b/373456ed5554.json new file mode 100644 index 0000000000..6b27cffd0e --- /dev/null +++ b/data/questions/36/5b/373456ed5554.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a reflection across line $m$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/943f9f2f82126cf9a07fbe21d7069a3363553e6e","width":400},"correct":{"coords":[[0,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/5e/d317265b3dda.json b/data/questions/36/5e/d317265b3dda.json new file mode 100644 index 0000000000..cf3dfbfaea --- /dev/null +++ b/data/questions/36/5e/d317265b3dda.json @@ -0,0 +1 @@ +{"content":"crwdns3474913:0crwdne3474913:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,5]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/60/9527bf47124a.json b/data/questions/36/60/9527bf47124a.json new file mode 100644 index 0000000000..68b5ebab90 --- /dev/null +++ b/data/questions/36/60/9527bf47124a.json @@ -0,0 +1 @@ +{"content":"Bridget is excited to compete in a $10$-mile race. The race organizers plotted the course on a coordinate map. The starting point is at $(4,1)$, and the ending point is at $(4,11)$. Bridget's family decides to stand at $(4,4)$ on the map. \n\n\n**Plot the starting point, ending point, and place where Bridget's family stands on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Bridget be in the race when she reaches her family?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[4,1],[4,4],[4,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□ □□□□□□□ □□□□□□□ □□□ □□□□","correct":true},{"content":"□□□□□□□ □□□□□□□ □□□ □□□□"},{"content":"□□□□ □□□□ □□□□□□□ □□□□□□□ □□□ □□□□"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/36/6d/127fba5eb245.json b/data/questions/36/6d/127fba5eb245.json new file mode 100644 index 0000000000..f485a03f25 --- /dev/null +++ b/data/questions/36/6d/127fba5eb245.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/531fee4d8bb347641e66571b9e90926fd2866c88","width":425},"correct":{"coords":[[4,0],[0,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/6f/1b56c602917d.json b/data/questions/36/6f/1b56c602917d.json new file mode 100644 index 0000000000..7d538bb0ff --- /dev/null +++ b/data/questions/36/6f/1b56c602917d.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(4,3)$ and has a slope of $\\dfrac12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[4,3],[6,4]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/83/767cd09c9bb1.json b/data/questions/36/83/767cd09c9bb1.json new file mode 100644 index 0000000000..fdfc1ed21f --- /dev/null +++ b/data/questions/36/83/767cd09c9bb1.json @@ -0,0 +1 @@ +{"content":"The table below shows the relationship between quiz scores and study time (in hours) for each student in Lucas's class. \n\n**Plot the data in a scatter plot.** \n\n|||||||\n:-- | --: | --: | --: | --: | --: | --: |\n**Study time (hours)** | $1.75$ | $1.5$ | $0.5$ | $3$ | $3.25$ | $2$ \n**Score** | $17$ | $15$ | $7$ | $19$ | $20$ | $16$ \n\n\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1.75,17],[1.5,15],[0.5,7],[3,19],[3.25,20],[2,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,1],"labels":["$\\text{Hours}$","$\\text{Score}$"],"markings":"graph","range":[[-0.5,4],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[0.5,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/8c/2d4794fa7cee.json b/data/questions/36/8c/2d4794fa7cee.json new file mode 100644 index 0000000000..fef6d6ef90 --- /dev/null +++ b/data/questions/36/8c/2d4794fa7cee.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=3\\sin\\left(\\dfrac{\\pi}{5} x+\\dfrac{2\\pi}{5}\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[-2,-3],[0.5,0]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/ac/99d7921095bc.json b/data/questions/36/ac/99d7921095bc.json new file mode 100644 index 0000000000..322b360e49 --- /dev/null +++ b/data/questions/36/ac/99d7921095bc.json @@ -0,0 +1 @@ +{"content":"crwdns3898368:0$ycrwdne3898368:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-7],[1,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/b1/216d52c6a3e6.json b/data/questions/36/b1/216d52c6a3e6.json new file mode 100644 index 0000000000..92d2bb39f4 --- /dev/null +++ b/data/questions/36/b1/216d52c6a3e6.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $14$ units\n\n\n- Its amplitude is $2.5$ units\n\n\n- It intersects its midline at $(4.5,-7)$ and then increases\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[4.5,-7],[8,-4.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/b2/2b8fab95f044.json b/data/questions/36/b2/2b8fab95f044.json new file mode 100644 index 0000000000..ab2b7b9f5e --- /dev/null +++ b/data/questions/36/b2/2b8fab95f044.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(-4, -6)$.** \n$$ \n\n[[☃ interaction 1]]\n\n**What is located $4$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-4","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-6"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"2","coordY":"7"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":false},{"content":"Point $C$","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/ba/4776bdb547e0.json b/data/questions/36/ba/4776bdb547e0.json new file mode 100644 index 0000000000..559cbae80b --- /dev/null +++ b/data/questions/36/ba/4776bdb547e0.json @@ -0,0 +1 @@ +{"content":"**Construct a $70^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/534c542b655115da6ac73ac7602e42411cd9dce0.png":{"height":168,"width":158},"https://ka-perseus-images.s3.amazonaws.com/f553c121920ab21939847db6f513c6a8f87f04e7.png":{"height":387,"width":360}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.8247759450082897,-1.2389918760711316],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/be/4b7e58367156.json b/data/questions/36/be/4b7e58367156.json new file mode 100644 index 0000000000..03ebe13e32 --- /dev/null +++ b/data/questions/36/be/4b7e58367156.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $8$ units from Point $\\blueD{B}$ and also share the same $x$-coordinate as Point $\\blueD{B}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599aec9a5d9eab38ac41baeb5eff98c7997877e4","width":425},"correct":{"coords":[[-6,-8],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/c3/4930af2c2015.json b/data/questions/36/c3/4930af2c2015.json new file mode 100644 index 0000000000..0448118f6a --- /dev/null +++ b/data/questions/36/c3/4930af2c2015.json @@ -0,0 +1 @@ +{"content":"see that \\small issue in the editor? Note: if you set the widget into points mode (bottom dropdown), the user is unable to select the number of points.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"type":"point"},"graph":{"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/cf/5c9372ecae02.json b/data/questions/36/cf/5c9372ecae02.json new file mode 100644 index 0000000000..a200b2dd62 --- /dev/null +++ b/data/questions/36/cf/5c9372ecae02.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{2}(x-2)^2-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[2,-4],[0,-6]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","f(x)"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/d5/ded1f810d9b7.json b/data/questions/36/d5/ded1f810d9b7.json new file mode 100644 index 0000000000..437a988264 --- /dev/null +++ b/data/questions/36/d5/ded1f810d9b7.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -2x -80=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,0],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/36/fc/9f3098b9d787.json b/data/questions/36/fc/9f3098b9d787.json new file mode 100644 index 0000000000..694d3e1bd8 --- /dev/null +++ b/data/questions/36/fc/9f3098b9d787.json @@ -0,0 +1 @@ +{"content":"\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":0,"url":"","width":0},"correct":{"coords":[[[-5,5],[5,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/0a/2937faf61e55.json b/data/questions/37/0a/2937faf61e55.json new file mode 100644 index 0000000000..bb8676814e --- /dev/null +++ b/data/questions/37/0a/2937faf61e55.json @@ -0,0 +1 @@ +{"content":"crwdns3381074:0{400}crwdnd3381074:0{225}crwdne3381074:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa50666684309d890b7388acdb39a397e4c07987","width":425},"correct":{"coords":[[0,25],[0,-25]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-50,50],[-50,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[10,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/0b/40a2223d759d.json b/data/questions/37/0b/40a2223d759d.json new file mode 100644 index 0000000000..778daf7fbc --- /dev/null +++ b/data/questions/37/0b/40a2223d759d.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-6$|$3$|$-6$|$2$|$-6$\n\n**Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93f893be5d4f1d7a3afba7f5cca7c155e1b75863","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,4]]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/37/11/eec85d189eeb.json b/data/questions/37/11/eec85d189eeb.json new file mode 100644 index 0000000000..3f784cf179 --- /dev/null +++ b/data/questions/37/11/eec85d189eeb.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=3(x+1)^2-2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-2],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/46/0a077238d430.json b/data/questions/37/46/0a077238d430.json new file mode 100644 index 0000000000..eb7d568644 --- /dev/null +++ b/data/questions/37/46/0a077238d430.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=x(2x+5)(x+1)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,0],[-2.5,0],[-1,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/48/de3fb7886700.json b/data/questions/37/48/de3fb7886700.json new file mode 100644 index 0000000000..0d2ba7e4f2 --- /dev/null +++ b/data/questions/37/48/de3fb7886700.json @@ -0,0 +1 @@ +{"content":"crwdns3144070:0{YIP}crwdnd3144070:0$ycrwdne3144070:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/216537b0280134b2effc8974548d7217a6742850","width":425},"correct":{"coords":[[1,1],[1,4],[-4,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad75d041b76209ed3528c53beedbb12b7ab94c86","width":425},"correct":{"coords":[[-1,8],[4,3],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/55/ab103e392544.json b/data/questions/37/55/ab103e392544.json new file mode 100644 index 0000000000..0a12c11da5 --- /dev/null +++ b/data/questions/37/55/ab103e392544.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-5,1)$, and which has the point $(-2,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-5,1],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/65/b10574073586.json b/data/questions/37/65/b10574073586.json new file mode 100644 index 0000000000..afa8bbfff3 --- /dev/null +++ b/data/questions/37/65/b10574073586.json @@ -0,0 +1 @@ +{"content":"Peter just buried a treasure chest on a remote island and is making a map so he can find it later. One of the key landmarks in the area is a small rectangular hut, $5\\text{ m}$ by $8\\text{ m}$.\n\n**Move the points to draw the hut on Peter's treasure map below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2d2cb1500c43f1f01f65362b0b607c29cbd0163f.png","width":400},"correct":{"coords":[[3,-9],[3,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/67/27b108f3170d.json b/data/questions/37/67/27b108f3170d.json new file mode 100644 index 0000000000..7bc9ce66b1 --- /dev/null +++ b/data/questions/37/67/27b108f3170d.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(7, 6)$ and $(0, 6)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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diff --git a/data/questions/37/a5/f665f21a8f89.json b/data/questions/37/a5/f665f21a8f89.json new file mode 100644 index 0000000000..53602817d4 --- /dev/null +++ b/data/questions/37/a5/f665f21a8f89.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{1}{3}(x +2)(x +8)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,3],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/b1/ef2f49b81c94.json b/data/questions/37/b1/ef2f49b81c94.json new file mode 100644 index 0000000000..d6fbdaacee --- /dev/null +++ b/data/questions/37/b1/ef2f49b81c94.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +4y -60=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-2],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/be/76bf6cc08bc0.json b/data/questions/37/be/76bf6cc08bc0.json new file mode 100644 index 0000000000..2c5b8a3a56 --- /dev/null +++ b/data/questions/37/be/76bf6cc08bc0.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the green, dashed line segment shown below. \n \n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/da880ac07e02c52696b26c3fd518680ef7acd660","width":425},"correct":{"coords":[[[1,-8],[-4,3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/e0/b6f8b96f6d06.json b/data/questions/37/e0/b6f8b96f6d06.json new file mode 100644 index 0000000000..f7e7586c0f --- /dev/null +++ b/data/questions/37/e0/b6f8b96f6d06.json @@ -0,0 +1 @@ +{"content":"crwdns3380948:0$0.5$crwdne3380948:0","images":{},"widgets":{"interactive-graph 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of cheese crackers has $30$ crackers for each serving.\n\n**Complete the table for the given ratio.** \n \nServings, $x$ | Crackers, $y$ \n:-: | :-: \n$1$ | $30$\n$2$| [[☃ numeric-input 3]]\n$3$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,30],[2,60],[3,90]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["□","□"],"markings":"graph","range":[[-1,7],[-2,95]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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+{"content":"crwdns3362755:0$ycrwdnd3362755:0$ycrwdnd3362755:0$fcrwdne3362755:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6cfc71294a4d1d57fa5bf141943fc417d515eac7","width":400},"correct":{"coords":[[2,3],[0,-6],[-4,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-20,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/f4/071409a16597.json b/data/questions/37/f4/071409a16597.json new file mode 100644 index 0000000000..dade786fe7 --- /dev/null +++ b/data/questions/37/f4/071409a16597.json @@ -0,0 +1 @@ +{"content":"Sandy believes that the ideal man's head is $\\dfrac{1}{7}$ of his entire height.\n\n**Move the points to draw a head of ideal proportions on the figure below. Represent the head as a square.**\n\n(put an image of a statue in the background)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/37/f5/a8dd31e3db73.json b/data/questions/37/f5/a8dd31e3db73.json new file mode 100644 index 0000000000..81cde718e6 --- /dev/null +++ b/data/questions/37/f5/a8dd31e3db73.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c782cd5e1839298737cd5a1626c79851d17f2fe","width":430},"correct":{"coords":[[0,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/01/18b720081ba8.json b/data/questions/38/01/18b720081ba8.json new file mode 100644 index 0000000000..96a976a0fb --- /dev/null +++ b/data/questions/38/01/18b720081ba8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+(y-1)^2=64$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-1,1],"radius":8}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/03/d32df67189c0.json b/data/questions/38/03/d32df67189c0.json new file mode 100644 index 0000000000..789e1ce46b --- /dev/null +++ b/data/questions/38/03/d32df67189c0.json @@ -0,0 +1 @@ +{"content":"Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nTargets hit | $1$| $2$| $5$ \nPoints | $3$ | $6$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Natalie's points proportional to the number of targets she hit?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,3],[2,6],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["$\\small{\\text{Targets hit}}$","$\\text{Points}$"],"markings":"graph","range":[[-0.5,7],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ýéèśŝ","correct":true},{"content":"ŃŇóò","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/38/10/a345cf91b4f0.json b/data/questions/38/10/a345cf91b4f0.json new file mode 100644 index 0000000000..d0da509d25 --- /dev/null +++ b/data/questions/38/10/a345cf91b4f0.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-3,-4)$ and $(6,-4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[6,-4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9},{"maxError":null,"message":"□□□□□□□□ □□□□ □□□□□□□□ □□□□□□ □□□□□□ □□ □□□□□□□□.","simplify":"required","status":"wrong","strict":false,"value":-9}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/12/e94490b78c96.json b/data/questions/38/12/e94490b78c96.json new file mode 100644 index 0000000000..076e3c1577 --- /dev/null +++ b/data/questions/38/12/e94490b78c96.json @@ -0,0 +1 @@ +{"content":"crwdns3074210:0{B}crwdnd3074210:0{A}crwdne3074210:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":true},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":true},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/0c87ba209904429b2dfaa88979dc4243fb25f3a6.png","width":400},"correct":{"coords":[[0,8],[2,-5]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/17/4bdcf8d039cd.json b/data/questions/38/17/4bdcf8d039cd.json new file mode 100644 index 0000000000..d026215654 --- /dev/null +++ b/data/questions/38/17/4bdcf8d039cd.json @@ -0,0 +1 @@ +{"content":"Consider this matrix transformation:\n\n$\\left[\\begin{array}{c}\n1 & 2\n\\\\\\\\\n-3 & 3\n\\end{array}\\right]$\n\nBelow is an interactive graph with the unit square graphed in it.\n\n**Draw the image of the unit square under this transformation.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e39c1c4aea2324861693fd34915606378a180911","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-3],[3,0],[2,3],[0,0]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/57/6e6d85b3e968.json b/data/questions/38/57/6e6d85b3e968.json new file mode 100644 index 0000000000..522a2ca2f7 --- /dev/null +++ b/data/questions/38/57/6e6d85b3e968.json @@ -0,0 +1 @@ +{"content":"crwdns3295111:0$20$crwdnd3295111:0$0.75$crwdnd3295111:0$1$crwdnd3295111:0$0$crwdnd3295111:0$3.25$crwdnd3295111:0$0.25$crwdnd3295111:0$2$crwdnd3295111:0$15$crwdnd3295111:0$13$crwdnd3295111:0$7$crwdnd3295111:0$19$crwdnd3295111:0$12$crwdnd3295111:0$16$crwdne3295111:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,13],[0,7],[3.25,19],[0.75,15],[0.25,12],[2,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,1],"labels":["crwdns3218676:0{Hours}crwdne3218676:0","crwdns3280467:0{Score}crwdne3280467:0"],"markings":"graph","range":[[-0.5,4],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[0.5,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/6a/db2628acb296.json b/data/questions/38/6a/db2628acb296.json new file mode 100644 index 0000000000..8d65011eb7 --- /dev/null +++ b/data/questions/38/6a/db2628acb296.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x+7)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-9,-2],[-5,2]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-2,-2],"filled":true,"type":"point"},{"color":"grayH","coord":[2,2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","coord":[2,2],"filled":true,"type":"point"},{"color":"grayH","coord":[-2,-2],"filled":true,"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/70/e37564bdcf9f.json b/data/questions/38/70/e37564bdcf9f.json new file mode 100644 index 0000000000..ff304ed74c --- /dev/null +++ b/data/questions/38/70/e37564bdcf9f.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $10$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-2],[1,3],[-1,3],[-1,-2]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/78/545076e84ee2.json b/data/questions/38/78/545076e84ee2.json new file mode 100644 index 0000000000..c8ea1b44f6 --- /dev/null +++ b/data/questions/38/78/545076e84ee2.json @@ -0,0 +1 @@ +{"content":"The table below shows the relationship between quiz scores and study time (in hours) for each $20$-point quiz Dexter took this year. \n\n**Plot the data in a scatter plot.** \n\n|||||||\n:-- | --: | --: | --: | --: | --: | --: |\n**Study time (hours)** | $0.75$ | $1$ | $0$ | $3.25$ | $0.25$ | $2$ \n**Score** | $15$ | $13$ | $7$ | $19$ | $12$ | $16$ \n\n\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,13],[0,7],[3.25,19],[0.75,15],[0.25,12],[2,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,1],"labels":["$\\text{Hours}$","$\\text{Score}$"],"markings":"graph","range":[[-0.5,4],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[0.5,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/7b/28f81e176fff.json b/data/questions/38/7b/28f81e176fff.json new file mode 100644 index 0000000000..cfe91e440c --- /dev/null +++ b/data/questions/38/7b/28f81e176fff.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-4\\cos\\left(x\\right)+3$ in the interactive widget.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[1,3],[0,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/7f/1220dc6d60f7.json b/data/questions/38/7f/1220dc6d60f7.json new file mode 100644 index 0000000000..23e01f9358 --- /dev/null +++ b/data/questions/38/7f/1220dc6d60f7.json @@ -0,0 +1 @@ +{"content":"crwdns3462891:0$fcrwdnd3462891:0{1}crwdnd3462891:0{2}crwdne3462891:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-4],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3359279:0crwdne3359279:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/ab/47cff486eaab.json b/data/questions/38/ab/47cff486eaab.json new file mode 100644 index 0000000000..e658053546 --- /dev/null +++ b/data/questions/38/ab/47cff486eaab.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $JKLM$ is rotated $-270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/632e2dbc6bb670212c818ad5913cee890920c504","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[7,-3],[5,5],[-3,3],[3,3]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/bc/4a0a7b9e66c3.json b/data/questions/38/bc/4a0a7b9e66c3.json new file mode 100644 index 0000000000..63ce061500 --- /dev/null +++ b/data/questions/38/bc/4a0a7b9e66c3.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(7,7)$, $(7,4)$, $(3,4)$, and $(3,7)$.\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the length of the longer side of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,4],[7,4],[3,7],[7,7]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/d0/e2d41a6f6110.json b/data/questions/38/d0/e2d41a6f6110.json new file mode 100644 index 0000000000..5f2313127e --- /dev/null +++ b/data/questions/38/d0/e2d41a6f6110.json @@ -0,0 +1 @@ +{"content":"Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with side length $90\\text{ m}$.\n\n**Draw the city block such that $1$ unit on the grid below represents $30\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"","scale":".16","bottom":"37","left":"32","width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-12,12],[-12,12]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","coords":[[2,6],[2,9],[-1,9],[-1,6]],"match":"congruent","numSides":4,"showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/d0/fb20b11b5619.json b/data/questions/38/d0/fb20b11b5619.json new file mode 100644 index 0000000000..f472971774 --- /dev/null +++ b/data/questions/38/d0/fb20b11b5619.json @@ -0,0 +1 @@ +{"content":"crwdns3462807:0$fcrwdnd3462807:0{1}crwdnd3462807:0{3}crwdne3462807:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,5],[0,8]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/da/140147ede84d.json b/data/questions/38/da/140147ede84d.json new file mode 100644 index 0000000000..04de944640 --- /dev/null +++ b/data/questions/38/da/140147ede84d.json @@ -0,0 +1 @@ +{"content":"crwdns4075261:0$gcrwdne4075261:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,0.5],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/da/d609e3027fae.json b/data/questions/38/da/d609e3027fae.json new file mode 100644 index 0000000000..01c90749be --- /dev/null +++ b/data/questions/38/da/d609e3027fae.json @@ -0,0 +1 @@ +{"content":"crwdns6645536:0$f$crwdnd6645536:0$f$crwdne6645536:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0556104f4a8ef7f6488919e51ad981bd722d40dd","width":400},"correct":{"coords":[[0,-5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,7],[-12,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/38/f0/057b81154853.json b/data/questions/38/f0/057b81154853.json new file mode 100644 index 0000000000..d9bd1340a4 --- /dev/null +++ b/data/questions/38/f0/057b81154853.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/01/1c58f294eb21.json b/data/questions/39/01/1c58f294eb21.json new file mode 100644 index 0000000000..f757c0bd95 --- /dev/null +++ b/data/questions/39/01/1c58f294eb21.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=\\dfrac{2}{3}(x-3)^2+1$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[3,1],[0,7]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/02/adaad5af3e3f.json b/data/questions/39/02/adaad5af3e3f.json new file mode 100644 index 0000000000..cb5c148236 --- /dev/null +++ b/data/questions/39/02/adaad5af3e3f.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1197a7ebeae001f5aebe8610344448e891f8cf38","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/02/c68f74ce187d.json b/data/questions/39/02/c68f74ce187d.json new file mode 100644 index 0000000000..0562dae23f --- /dev/null +++ b/data/questions/39/02/c68f74ce187d.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a07a04d83ed76adb10419476a21f4fb1f015c8c6","width":400},"correct":{"coords":[[1,-2],[1,1],[-3,1],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/1c/1f08c88041fc.json b/data/questions/39/1c/1f08c88041fc.json new file mode 100644 index 0000000000..1284284460 --- /dev/null +++ b/data/questions/39/1c/1f08c88041fc.json @@ -0,0 +1 @@ +{"content":"crwdns4116737:0{ELM}crwdne4116737:0","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/971be79578e3693dd1d595ce2b7dcb6c2863862a","width":425},"correct":{"coords":[[7,-6],[-3,-7],[2,-3]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/1f/f68d8defde74.json b/data/questions/39/1f/f68d8defde74.json new file mode 100644 index 0000000000..7a403ad97d --- /dev/null +++ b/data/questions/39/1f/f68d8defde74.json @@ -0,0 +1 @@ +{"content":"Olivia's tablet has a cracked screen. On a coordinate map of the screen, the crack starts at the point $(2,5)$ and ends at the point $(8,5)$. The crack connects the two points in a straight line.\n\n**Plot the points where the crack starts and ends on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How long is the crack?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,5],[8,5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/2b/2cc1e574ca68.json b/data/questions/39/2b/2cc1e574ca68.json new file mode 100644 index 0000000000..ada077d7f9 --- /dev/null +++ b/data/questions/39/2b/2cc1e574ca68.json @@ -0,0 +1 @@ +{"content":"crwdns4070163:0$fcrwdne4070163:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,1],[6,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/2b/a9911e48f3c0.json b/data/questions/39/2b/a9911e48f3c0.json new file mode 100644 index 0000000000..f0d856ec99 --- /dev/null +++ b/data/questions/39/2b/a9911e48f3c0.json @@ -0,0 +1 @@ +{"content":"crwdns3462804:0$fcrwdnd3462804:0{1}crwdnd3462804:0{5}crwdne3462804:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,1],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/36/90bdcfb6834e.json b/data/questions/39/36/90bdcfb6834e.json new file mode 100644 index 0000000000..7de2ec4121 --- /dev/null +++ b/data/questions/39/36/90bdcfb6834e.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x+4|+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-4,1],[0,5]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/47/dec9f982f098.json b/data/questions/39/47/dec9f982f098.json new file mode 100644 index 0000000000..a7521a57b2 --- /dev/null +++ b/data/questions/39/47/dec9f982f098.json @@ -0,0 +1 @@ +{"content":"In Hayley's favorite video game, she completes $3$ challenges every $2$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents challenges completed.\n\n**Plot points to show how many challenges Hayley has completed after playing for $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,6],[6,9],[2,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/62/3039ad606f2e.json b/data/questions/39/62/3039ad606f2e.json new file mode 100644 index 0000000000..d22006bb21 --- /dev/null +++ b/data/questions/39/62/3039ad606f2e.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-8|-5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[8,-5],[0,3]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/6e/8a38d5bf60ef.json b/data/questions/39/6e/8a38d5bf60ef.json new file mode 100644 index 0000000000..472a969fa8 --- /dev/null +++ b/data/questions/39/6e/8a38d5bf60ef.json @@ -0,0 +1 @@ +{"content":"crwdns5574559:0$ycrwdne5574559:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,7]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/6e/bbd0c60d9fa7.json b/data/questions/39/6e/bbd0c60d9fa7.json new file mode 100644 index 0000000000..b6627c5a11 --- /dev/null +++ b/data/questions/39/6e/bbd0c60d9fa7.json @@ -0,0 +1 @@ +{"content":"**Construct a $90^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/187e403b057d06ed5994eb427f7a6ed140bf76f2.png":{"height":172,"width":172},"https://ka-perseus-images.s3.amazonaws.com/60b8fea2f9c36cc28d4b71f39ada0d288c40e11e.png":{"height":387,"width":359}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-0.5275737288297861],[0,-9],[-8.765495424367186,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/71/2b45d9814b5c.json b/data/questions/39/71/2b45d9814b5c.json new file mode 100644 index 0000000000..3b9a20904c --- /dev/null +++ b/data/questions/39/71/2b45d9814b5c.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $g(x)=0$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8c9391d64b51897be506061fb7b989e8efca632f","width":400},"correct":{"coords":[[1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/7c/1393a574ace2.json b/data/questions/39/7c/1393a574ace2.json new file mode 100644 index 0000000000..3823c59ad8 --- /dev/null +++ b/data/questions/39/7c/1393a574ace2.json @@ -0,0 +1 @@ +{"content":"**Use the line segments below to create a triangle with vertices at the following points.**\n\n$(-8,-5), (−2,1), (−3,6)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,-5],[-2,1],[-3,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/7d/bbf58c267f04.json b/data/questions/39/7d/bbf58c267f04.json new file mode 100644 index 0000000000..5cae212ae5 --- /dev/null +++ b/data/questions/39/7d/bbf58c267f04.json @@ -0,0 +1 @@ +{"content":"**Construct a $150^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/4a59745f780899028ed8278385c0903147b88f65.png":{"height":148,"width":399},"https://ka-perseus-images.s3.amazonaws.com/54ef5c58e63810b1ae446d7eb4c0a712a619cd97.png":{"height":214,"width":399}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8.84668170998922,-3.892365933302787],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/82/fcad6b036ba5.json b/data/questions/39/82/fcad6b036ba5.json new file mode 100644 index 0000000000..69aaddb46b --- /dev/null +++ b/data/questions/39/82/fcad6b036ba5.json @@ -0,0 +1 @@ +{"content":"crwdns3415417:0crwdne3415417:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.391559601859943,4.176259253641232],[1.5475345091027917,8.854079910600609],[1.6306367270016793,4.093157035742345]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/88/69dd299224a3.json b/data/questions/39/88/69dd299224a3.json new file mode 100644 index 0000000000..ae3e027d34 --- /dev/null +++ b/data/questions/39/88/69dd299224a3.json @@ -0,0 +1 @@ +{"content":"You are a landscape architect. For your first public project you are asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $10\\text{ m}$ and height $15\\text{ m}$.\n\n**Create a scale drawing of the garden using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[13,4],[3,19],[3,4]],"match":"similar","numSides":3,"showSides":true,"type":"polygon"},"graph":{"numSides":3,"showSides":true,"type":"polygon"},"labels":["x","y"],"markings":"grid","range":[[-1,20],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/97/a93e6d1fe679.json b/data/questions/39/97/a93e6d1fe679.json new file mode 100644 index 0000000000..5f7dd2fea5 --- /dev/null +++ b/data/questions/39/97/a93e6d1fe679.json @@ -0,0 +1 @@ +{"content":"Krista measured the height and petal length (in centimeters) of all the flowers in her garden. \n\n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: \n**Height $(\\text{cm})$** | $32.5$ | $15$ | $7.5$ | $27.5$ | $15$ | $32.5$ \n**Petal length $(\\text{cm})$**| $6.5$ | $4.5$ | $7$ | $9$ | $5.5$ | $3$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15,4.5],[15,5.5],[7.5,7],[32.5,6.5],[27.5,9],[32.5,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["\\□□□□{□□□□□□}","\\□□□□{□□□□□ □□□□□□}"],"markings":"graph","range":[[-4,42],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.5],"step":[5,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/9e/be337707ae44.json b/data/questions/39/9e/be337707ae44.json new file mode 100644 index 0000000000..d41aa110c8 --- /dev/null +++ b/data/questions/39/9e/be337707ae44.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f72cd72e879d0f5df1b5866d97d60e5d26bd4bd","width":425},"correct":{"coords":[[-3,-1],[1,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/a1/925ed9f17eba.json b/data/questions/39/a1/925ed9f17eba.json new file mode 100644 index 0000000000..5668d7c034 --- /dev/null +++ b/data/questions/39/a1/925ed9f17eba.json @@ -0,0 +1 @@ +{"content":"The table uses the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $3$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $6$ \n$6$ | $12$ \n$9$ | [[☃ numeric-input 1]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,6],[6,12],[9,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/ab/a1f12a2da712.json b/data/questions/39/ab/a1f12a2da712.json new file mode 100644 index 0000000000..903ef9661d --- /dev/null +++ b/data/questions/39/ab/a1f12a2da712.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(3,8)$ and $(3,4)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,8],[3,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/af/c2ac9516f79c.json b/data/questions/39/af/c2ac9516f79c.json new file mode 100644 index 0000000000..a4d539031b --- /dev/null +++ b/data/questions/39/af/c2ac9516f79c.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ca7b4d1f97cbc67fc32f0dc96f71051db7f9d731","width":400},"correct":{"coords":[[-4,-6]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/ca/e7062ce2f838.json b/data/questions/39/ca/e7062ce2f838.json new file mode 100644 index 0000000000..c2af32273f --- /dev/null +++ b/data/questions/39/ca/e7062ce2f838.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ef62d679e72975b0407d973bb48da1cc7bb54d18","width":425},"correct":{"coords":[[0,2],[1,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/d5/91da5497a7e3.json b/data/questions/39/d5/91da5497a7e3.json new file mode 100644 index 0000000000..b570c39f83 --- /dev/null +++ b/data/questions/39/d5/91da5497a7e3.json @@ -0,0 +1 @@ +{"content":"Jada has a stand in the marketplace where she sells ground paprika. Her profit increases by $\\$7.50$ for every kilogram of paprika she sells, and she needs to sell $40$ kilograms to cover her weekly expenses.\n\n**Graph Jada's weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms).** \n$$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[60,150],[40,0]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/06cf8441a629315114b89c6c528af50042b61130","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,50],"labels":["",""],"markings":"none","range":[[-10,100],[-350,450]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,50],"step":[10,100],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/dc/2420ae3c22af.json b/data/questions/39/dc/2420ae3c22af.json new file mode 100644 index 0000000000..3a5fb28820 --- /dev/null +++ b/data/questions/39/dc/2420ae3c22af.json @@ -0,0 +1 @@ +{"content":"\n\n[[☃ passage 1]]\n\nCareer | Median annual salary*\n- | - | -\nAssistant pastry chef | $\\$39{,}419$\nPastry chef | $\\$50{,}978$\nExecutive pastry chef | $\\$60{,}480$\n\nSources: Salary.com's January 2014 Survey; Assistant Pastry Chef; Pastry Chef-Casino;Executive Pastry Chef.\n\n*The salary information listed is based on a national average, unless noted. Actual salaries may vary greatly based on specialization within the field, location, years of experience and a variety of other factors. National long-term projections of employment growth may not reflect local and/or short-term economic or job conditions, and do not guarantee actual job growth.\n\n\n\n=====\n\n[[☃ group 1]]\n\n[[☃ group 2]]\n\n[[☃ group 3]]\n\n[[☃ group 4]]\n\n[[☃ group 5]]\n\n[[☃ group 6]]\n\n[[☃ group 7]]\n\n[[☃ group 8]]\n\n[[☃ group 9]]\n\n[[☃ group 10]]\n\n[[☃ group 11]]\n","images":{"https://ka-perseus-images.s3.amazonaws.com/d54e54061028458f2e142dae8c0363ddccb367c6.jpg":{"height":622,"width":567}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"group 1":{"graded":true,"options":{"content":"\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGNqwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"NO CHANGE\n","correct":false},{"content":"infinite\n","correct":false},{"content":"encircling\n","correct":false},{"content":"exhaustive","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 10":{"graded":true,"options":{"content":"\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoJ6itgkM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoKG1vQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoNqKugkM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"NO CHANGE\n","correct":true},{"content":"bestow\n","correct":false},{"content":"have bestowed\n","correct":false},{"content":"are bestowing","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 11":{"graded":true,"options":{"content":"At this point, the writer is considering adding the following sentence. \nBy working to achieve the most prestigious titles in pastry, these chefs have the ability to make changes in their field. \nShould the writer make this addition here?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7KsAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7jpQoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes, because it reinforces the passage’s claim about the widespread professional influence of executive pastry chefs.\n","correct":false},{"content":"Yes, because it answers a question raised in the previous paragraph.\n","correct":false},{"content":"No, because it contradicts the passage’s claim about the difficulties many pastry chefs face.\n","correct":false},{"content":"No, because it weakens the passage’s conclusion by introducing a new, unexplained idea. ","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 2":{"graded":true,"options":{"content":"Which choice most effectively concludes the first paragraph by setting up the main focus of the passage?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGorQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHGowoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"NO CHANGE\n","correct":true},{"content":"While many attempt to succeed in this career field, top-level pastry work involves arduous tasks that many find to be too challenging.\n","correct":false},{"content":"The Certified Executive Chef title is one of the most challenging and exciting careers to which a pastry chef can aspire.\n","correct":false},{"content":"Positions in this field extend beyond bakeries and restaurants to universities, hotels, and even the White House.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 3":{"graded":true,"options":{"content":"\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMGyrwoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMG5oAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMGuvgoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"NO CHANGE\n","correct":false},{"content":"Federation. Both involve\n","correct":true},{"content":"Federation. 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The chefs working at the highest levels—Executive and Certified Master Pastry chefs in North America, for example—have attained their titles through an [[1]] __inclusive__ amount of training that requires precise work: sugar pieces, glazes, candies, and doughs all have to be prepared perfectly to produce the finest quality tarts, cakes, mousses, crisps and confits. [[2]] __The intensive certification process to reach the top of this career field is challenging, but executive-level pastry chefs strive to excel.__ \n\nTwo of the highest titles a pastry chef can achieve in North America are Certified Executive Chef (CEF) and Certified Master Pastry Chef (CMPC), granted by the American Culinary [[3]] __Federation, both involve__ a rigorous examination process and numerous prerequisites. The Executive Chef certification, the less prestigious of the two positions with 165 North American pastry chefs holding the title, requires at least three years of practical work experience and over 100 hours of [[4]] __taking classes in__ Nutrition, Management, and Food Safety and Sanitation courses. The examination includes a 90-minute written portion and a four-hour practical portion. This intense work pays off, however: [[5]] __regular pastry chefs earn about $10,000 more a year than assistant pastry chefs.__ \n\nThese high-level chefs take their expertise to exciting heights. [[6]] __Consequently,__ Certified Executive Chef Hilary DeMane has prepared confections for [[7]] __celebrities, governors, and even__ President Ronald Reagan. In addition to corporate posts in some of the world’s most famous hotels and cruise ships, DeMane has also shared her knowledge in the education [[8]] __field for instance,__ she created an International Baking and Pastry program at the Florida Culinary Institute while serving as its Department Chair. \n\nEven more rigorous are the hurdles that pastry chefs must surmount to achieve CMPC status. Only eleven people in the United States currently hold this title. In order to be considered, [[9]] __they__ must endure an eight-day-long practical exam that showcases their culinary skills; the prize affords membership in an elite cadre of pastry professionals and [[10]] __bestows__ valuable name recognition and clout in the culinary world. Climbing to the top of the dessert world is an arduous task, but those who achieve high levels of success receive considerable recognition. This career path is not for everyone as it requires incredible precision under immense pressure, but CEFs and CMPCs often thrive under these conditions. [[11]]\n","passageTitle":"The Top Tiers of Pastry","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/e6/3268caf06516.json b/data/questions/39/e6/3268caf06516.json new file mode 100644 index 0000000000..6b373257de --- /dev/null +++ b/data/questions/39/e6/3268caf06516.json @@ -0,0 +1 @@ +{"content":"A system of two linear equations is graphed below.\n\n**Approximate the solution of the system.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/62e699a6aaaf6c8b11f9733b51fc88fbd68a546d)","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/62e699a6aaaf6c8b11f9733b51fc88fbd68a546d":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":"Image must be smaller than 450px x 450px."}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,-4]],[[0,-3],[1,-4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":-2.25}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":-2.75}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"simulator 1":{"graded":true,"options":{"numTrials":100,"proportionLabel":"Underlying proportion","proportionOrPercentage":"proportion","xAxisLabel":"Proportion (%)","yAxisLabel":"Number of times seen"},"type":"simulator","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/ed/41c81c7e54af.json b/data/questions/39/ed/41c81c7e54af.json new file mode 100644 index 0000000000..46c92358e9 --- /dev/null +++ b/data/questions/39/ed/41c81c7e54af.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph below.**\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c862f37aab816e18a7ec2d49b8a3b09824910165","width":425},"correct":{"coords":[[3,6],[-3,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/ee/296b1ef80a6b.json b/data/questions/39/ee/296b1ef80a6b.json new file mode 100644 index 0000000000..ca4d9dfd57 --- /dev/null +++ b/data/questions/39/ee/296b1ef80a6b.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the left and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a19d38e107f52c35d0efd4689b090799e23a12b5","width":425},"correct":{"coords":[[0,0],[-3,6],[-3,0],[-6,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/39/fd/ff7b3ac95e92.json b/data/questions/39/fd/ff7b3ac95e92.json new file mode 100644 index 0000000000..abc7b7937c --- /dev/null +++ b/data/questions/39/fd/ff7b3ac95e92.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$120$|$6$|$24$|$2$|$1$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d2896239bfd9b195b0ce07265fa6e275543a64b3","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-1]],[[-5,0],[5,-4]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3a/09/338a9e420174.json b/data/questions/3a/09/338a9e420174.json new file mode 100644 index 0000000000..dfb9ce4868 --- /dev/null +++ b/data/questions/3a/09/338a9e420174.json @@ -0,0 +1 @@ +{"content":"**Graph $y=5$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-3,5],[4,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/12/24e9e39b0db7.json b/data/questions/3a/12/24e9e39b0db7.json new file mode 100644 index 0000000000..37c8f7608f --- /dev/null +++ b/data/questions/3a/12/24e9e39b0db7.json @@ -0,0 +1 @@ +{"content":"Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with sides of length $100\\text{ m}$.\n\n**Draw the city block such that $1$ unit on the grid below represents $5\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[10,-9],[10,11],[-10,11],[-10,-9]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/2b/1467b3037a3b.json b/data/questions/3a/2b/1467b3037a3b.json new file mode 100644 index 0000000000..96c10ff693 --- /dev/null +++ b/data/questions/3a/2b/1467b3037a3b.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin(2x-3\\pi)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[3,-2],[3.5,3]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/2e/b4a8ff563fe2.json b/data/questions/3a/2e/b4a8ff563fe2.json new file mode 100644 index 0000000000..e7a4c32039 --- /dev/null +++ b/data/questions/3a/2e/b4a8ff563fe2.json @@ -0,0 +1 @@ +{"content":"crwdns5507275:0$x$crwdnd5507275:0$-1$crwdnd5507275:0{ a.m.}crwdnd5507275:0$y$crwdne5507275:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-1,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns5507290:0{hours}crwdne5507290:0","crwdns5507293:0{C}crwdne5507293:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/3c/b5bbea6b42bd.json b/data/questions/3a/3c/b5bbea6b42bd.json new file mode 100644 index 0000000000..d4d65c84ac --- /dev/null +++ b/data/questions/3a/3c/b5bbea6b42bd.json @@ -0,0 +1 @@ +{"content":"crwdns6902042:0$fcrwdnd6902042:0{5}crwdnd6902042:0{5}crwdne6902042:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4.5,-4],[2,-2]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/48/3a3c20a22bcc.json b/data/questions/3a/48/3a3c20a22bcc.json new file mode 100644 index 0000000000..14089f134d --- /dev/null +++ b/data/questions/3a/48/3a3c20a22bcc.json @@ -0,0 +1 @@ +{"content":"crwdns3295086:0$100$crwdnd3295086:0$200$crwdnd3295086:0$150$crwdnd3295086:0$125$crwdnd3295086:0$225$crwdnd3295086:0$18$crwdnd3295086:0$14$crwdnd3295086:0$15$crwdnd3295086:0$20$crwdnd3295086:0$12$crwdne3295086:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[100,18],[200,14],[150,15],[125,20],[225,12]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[50,1],"labels":["crwdns3295057:0{Coffee}crwdne3295057:0","crwdns3212916:0{Duration}crwdne3212916:0"],"markings":"graph","range":[[-25,300],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[25,0.5],"step":[50,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/63/b72c7a7da213.json b/data/questions/3a/63/b72c7a7da213.json new file mode 100644 index 0000000000..05e414e7eb --- /dev/null +++ b/data/questions/3a/63/b72c7a7da213.json @@ -0,0 +1 @@ +{"content":"crwdns4116741:0{TOP}crwdne4116741:0","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/05fa4e5feb0a57f01f5418dd79a4957986aabce0","width":425},"correct":{"coords":[[2,-5],[2,5],[-6,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/8e/abc6e000256d.json b/data/questions/3a/8e/abc6e000256d.json new file mode 100644 index 0000000000..21736ad4c1 --- /dev/null +++ b/data/questions/3a/8e/abc6e000256d.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = 2f(x+5)-1$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-8,-7],[-2,5]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/96/33225be5e878.json b/data/questions/3a/96/33225be5e878.json new file mode 100644 index 0000000000..6faf0f93c0 --- /dev/null +++ b/data/questions/3a/96/33225be5e878.json @@ -0,0 +1 @@ +{"content":"crwdns2838443:0$3$crwdnd2838443:0$ycrwdnd2838443:0$3$crwdnd2838443:0$3$crwdnd2838443:0$ycrwdnd2838443:0{x}crwdne2838443:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8abd4d786e557d2d1fef2e79404203b5da19920c.png","width":425},"correct":{"coords":[[16,2],[1,0],[4,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git 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2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/af/80d35cc0c149.json b/data/questions/3a/af/80d35cc0c149.json new file mode 100644 index 0000000000..26409b144a --- /dev/null +++ b/data/questions/3a/af/80d35cc0c149.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}4 & 2 \\\\ 0 & -2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}= \\left[\\begin{array}{r}5 \\\\ 0\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1fd22958a7cc503c616c1673d450ff8853fd1611","width":425},"correct":{"coords":[[[0,0],[20,0]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/b4/f77e433e20c5.json b/data/questions/3a/b4/f77e433e20c5.json new file mode 100644 index 0000000000..c0a366de27 --- /dev/null +++ b/data/questions/3a/b4/f77e433e20c5.json @@ -0,0 +1 @@ +{"content":"**Graph a parabola whose vertex is at $(3,5)$ with $y$-intercept at $y=1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,5],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/b7/6ac66285b939.json b/data/questions/3a/b7/6ac66285b939.json new file mode 100644 index 0000000000..23a1fa1ccd --- /dev/null +++ b/data/questions/3a/b7/6ac66285b939.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{5}x^2-2x-6$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-1],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/c3/b71a75432ad2.json b/data/questions/3a/c3/b71a75432ad2.json new file mode 100644 index 0000000000..b3d3e73c0c --- /dev/null +++ b/data/questions/3a/c3/b71a75432ad2.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y= -2\\cdot \\left(\\dfrac13\\right)^{x+1}+7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,7],[10,7]],"coords":[[-2,1],[-1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/c6/3667336be77f.json b/data/questions/3a/c6/3667336be77f.json new file mode 100644 index 0000000000..65640df9a7 --- /dev/null +++ b/data/questions/3a/c6/3667336be77f.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{x^2}{900}-\\dfrac{y^2}{1600}=1$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d110bda5799fea6f5d4f828790d61ba68865bb1a","width":425},"correct":{"coords":[[50,0],[-50,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["□","□"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/c8/b6507a31652f.json b/data/questions/3a/c8/b6507a31652f.json new file mode 100644 index 0000000000..3b5949e418 --- /dev/null +++ b/data/questions/3a/c8/b6507a31652f.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{3}{2}x+2$ \n \n\n\n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\nDrag the points on the graph to the specified coordinates.\n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/e80a5c39c2feea03393b4fe2d052fd4776d1f50e.png":{"height":431,"width":426}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,5],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/cf/240e8de16640.json b/data/questions/3a/cf/240e8de16640.json new file mode 100644 index 0000000000..6c01093b0a --- /dev/null +++ b/data/questions/3a/cf/240e8de16640.json @@ -0,0 +1 @@ +{"content":"**Graph $3x+2y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,6],[4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/d1/4b73789f8bf8.json b/data/questions/3a/d1/4b73789f8bf8.json new file mode 100644 index 0000000000..a978dd541b --- /dev/null +++ b/data/questions/3a/d1/4b73789f8bf8.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $1$ unit to the right and $8$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2a5216d17d63661ec54655449e346755521258f1","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-4,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/d2/11f643acebf4.json b/data/questions/3a/d2/11f643acebf4.json new file mode 100644 index 0000000000..3926ab3f76 --- /dev/null +++ b/data/questions/3a/d2/11f643acebf4.json @@ -0,0 +1 @@ +{"content":"crwdns3144342:0$PLAN$crwdne3144342:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7214df9f238c4031e89dc998087bca316c695572","width":425},"correct":{"coords":[[1,1],[1,9],[4,9],[5,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/e1/6198aacb54e7.json b/data/questions/3a/e1/6198aacb54e7.json new file mode 100644 index 0000000000..0b84ecc685 --- /dev/null +++ b/data/questions/3a/e1/6198aacb54e7.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1aa858afa68530210704235a0134a165b4b66d43","width":400},"correct":{"coords":[[-6,-7],[1,-4],[-3,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/e5/852dd466f2f3.json b/data/questions/3a/e5/852dd466f2f3.json new file mode 100644 index 0000000000..57d8838755 --- /dev/null +++ b/data/questions/3a/e5/852dd466f2f3.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{4}{3}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{4}{3}$ units in $y$.\n\n**Graph the line and write the equation of the line.**\n\n[[☃ interactive-graph 1]]\n\nThe equation is [[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=4/3x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,8],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3a/ee/94423f6f35a1.json b/data/questions/3a/ee/94423f6f35a1.json new file mode 100644 index 0000000000..f82018b3dc --- /dev/null +++ b/data/questions/3a/ee/94423f6f35a1.json @@ -0,0 +1 @@ +{"content":"**Construct a $35^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[2.8061354926511557,6.017776983877903]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/00/13e1518cd75e.json b/data/questions/3b/00/13e1518cd75e.json new file mode 100644 index 0000000000..104b846da7 --- /dev/null +++ b/data/questions/3b/00/13e1518cd75e.json @@ -0,0 +1 @@ +{"content":"$\\triangle{EAR}$ is rotated $180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c08b4c3169f1a6c081e6eaeb44eae2facb895f1e","width":425},"correct":{"coords":[[6,-4],[5,6],[2,-2]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/14/730caef2339e.json b/data/questions/3b/14/730caef2339e.json new file mode 100644 index 0000000000..fd7b3db1f9 --- /dev/null +++ b/data/questions/3b/14/730caef2339e.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a07a04d83ed76adb10419476a21f4fb1f015c8c6","width":400},"correct":{"coords":[[1,-2],[1,1],[-3,1],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/1a/ff07b0ff2c3e.json b/data/questions/3b/1a/ff07b0ff2c3e.json new file mode 100644 index 0000000000..4b5ec10ff0 --- /dev/null +++ b/data/questions/3b/1a/ff07b0ff2c3e.json @@ -0,0 +1 @@ +{"content":"crwdns6419931:0$pcrwdnd6419931:0$x$crwdne6419931:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-1,0],[-2,0],[2,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/21/30e5f7e0ee54.json b/data/questions/3b/21/30e5f7e0ee54.json new file mode 100644 index 0000000000..4a92559692 --- /dev/null +++ b/data/questions/3b/21/30e5f7e0ee54.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-2x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,5],[1,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/23/bc19527b9eba.json b/data/questions/3b/23/bc19527b9eba.json new file mode 100644 index 0000000000..c6a00f7033 --- /dev/null +++ b/data/questions/3b/23/bc19527b9eba.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 2-9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["\\ťțéèẍẋťț{ŔŘéè}","\\ťțéèẍẋťț{ÎÏḿṁ}"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/27/7465d1508727.json b/data/questions/3b/27/7465d1508727.json new file mode 100644 index 0000000000..de5fd269ba --- /dev/null +++ b/data/questions/3b/27/7465d1508727.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{5}{3}x-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-9],[3,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/52/e94b74fa1080.json b/data/questions/3b/52/e94b74fa1080.json new file mode 100644 index 0000000000..92f1414195 --- /dev/null +++ b/data/questions/3b/52/e94b74fa1080.json @@ -0,0 +1 @@ +{"content":"**Graph $x=-5$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-5,2],[-5,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/53/58ce4a460332.json b/data/questions/3b/53/58ce4a460332.json new file mode 100644 index 0000000000..6bb8a73d5f --- /dev/null +++ b/data/questions/3b/53/58ce4a460332.json @@ -0,0 +1 @@ +{"content":"Marty is trying to choose a cable TV package. He has several different options that are priced differently based on the number of channels that he buys. He's used the line $y = 0.1x + 21$ to model the monthly price in dollars as a function of the number of channels in the TV package.\n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Channels** | $20$| $40$ | $60$ | $80$|$100$|$120$ \n**Price ($\\$$)** | $16$ | $19$| $25.5$ | $29.5$| $34$|$40.5$| \n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-7},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-1.5},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7.5},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[120,7.5],[80,0.5],[40,-6],[100,3],[60,-1.5],[20,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["x","y"],"markings":"graph","range":[[-5,125],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.5],"step":[20,1]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":true},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":false},{"content":"Decrease the y-intercept of the line.","correct":true},{"content":"None of the above - the model is a good fit for the data.","correct":false}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/3b/54/78bc811e7feb.json b/data/questions/3b/54/78bc811e7feb.json new file mode 100644 index 0000000000..ed3bc3e18c --- /dev/null +++ b/data/questions/3b/54/78bc811e7feb.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{3}{2}(x-4)^2+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[4,3],[2,9]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/62/3aa581945d41.json b/data/questions/3b/62/3aa581945d41.json new file mode 100644 index 0000000000..1d28145a7d --- /dev/null +++ b/data/questions/3b/62/3aa581945d41.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=2\\sqrt{5} \\left( \\cos(27 \\degree) + i\\sin(27 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[4,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/63/b6b42ff28787.json b/data/questions/3b/63/b6b42ff28787.json new file mode 100644 index 0000000000..d1fd91f27a --- /dev/null +++ b/data/questions/3b/63/b6b42ff28787.json @@ -0,0 +1 @@ +{"content":"Line segments $\\overline{QR}$ and $\\overline{ST}$ are reflected over the line $y=-2x-3$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec9db377c855be17a2841116d069c94ee6277951","width":425},"correct":{"coords":[[[-8,5],[8,-2]],[[-7,-1],[-3,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91b9cdea9392fcb822d0365456409475e579472a","width":425},"correct":{"coords":[[[-9,0],[5,5]],[[-7,-1],[-7,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dbac9c0d80eb620ac380f038eed02de1b3295976","width":425},"correct":{"coords":[[[-4,-7],[-4,-9]],[[-6,-4],[3,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ff32e4b8055948ab048578d8b2ffc66e6054acb6","width":425},"correct":{"coords":[[[-3,8],[-9,-5]],[[-4,0],[-3,-7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/6e/8dbf0348a897.json b/data/questions/3b/6e/8dbf0348a897.json new file mode 100644 index 0000000000..2143230e6c --- /dev/null +++ b/data/questions/3b/6e/8dbf0348a897.json @@ -0,0 +1 @@ +{"content":"**6. Grapher**\n\nMove the points to $(0,4)$ and $(4,0)$\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[1.5,2.5],[4.5,-0.5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/71/05bd56a96864.json b/data/questions/3b/71/05bd56a96864.json new file mode 100644 index 0000000000..e0f6fabcc1 --- /dev/null +++ b/data/questions/3b/71/05bd56a96864.json @@ -0,0 +1 @@ +{"content":"Leah took her friends for a ride in her hot air balloon. The function $f$ models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.\n\n**Plot the point on the graph of $f$ that corresponds to when the hot air balloon landed.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1d1a2f83f78c1c774d6b0aca26dd8aaa1b6540e7","width":400},"correct":{"coords":[[60,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[5,50],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,80],[-50,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,25],"step":[10,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/7e/93a4a4125b61.json b/data/questions/3b/7e/93a4a4125b61.json new file mode 100644 index 0000000000..dc5b41a087 --- /dev/null +++ b/data/questions/3b/7e/93a4a4125b61.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{B}$ and goes through point $\\text{A}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":false},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":true},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":true},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/bbbed802d54acef1aa8ef586490e7d506033aeef.png","width":400},"correct":{"coords":[[-6,-3],[5,7]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/81/c1eb9e727dce.json b/data/questions/3b/81/c1eb9e727dce.json new file mode 100644 index 0000000000..ad3bbe96a0 --- /dev/null +++ b/data/questions/3b/81/c1eb9e727dce.json @@ -0,0 +1 @@ +{"content":"**The quadrilateral shown in the graph is transformed by matrix $R$. Plot the resulting quadrilateral.** \n\n$R=\\left[\\begin{array} {ccc}\n-0.25 & -0.75 \\\\\n0.75 & -0.25 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/03f55fe5535b342fdbf5338c1c58ce5aa1c088fb","width":425},"correct":{"coords":[[3,-4],[3,6],[-3,4],[-3,-6]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/91/faa660c9eb48.json b/data/questions/3b/91/faa660c9eb48.json new file mode 100644 index 0000000000..abd239145c --- /dev/null +++ b/data/questions/3b/91/faa660c9eb48.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0aebe236000f6f39501780a7f557dfb0d6e30b94","width":425},"correct":{"coords":[[2,3],[-4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/92/97853e6dc671.json b/data/questions/3b/92/97853e6dc671.json new file mode 100644 index 0000000000..ed6a980c5e --- /dev/null +++ b/data/questions/3b/92/97853e6dc671.json @@ -0,0 +1 @@ +{"content":"crwdns3209054:0$QUAIL$crwdnd3209054:0$y$crwdne3209054:0","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/67220002d63b81c7238703d9f496f09707c699f4.png","width":425},"correct":{"coords":[[-4,-7],[-2,1],[-4,5],[-8,5],[-7,-2]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/3b/97/14fa824e8d57.json b/data/questions/3b/97/14fa824e8d57.json new file mode 100644 index 0000000000..7cd6b07cc7 --- /dev/null +++ b/data/questions/3b/97/14fa824e8d57.json @@ -0,0 +1 @@ +{"content":"crwdns3225357:0:-:crwdnd3225357:0:-:crwdnd3225357:0:-:crwdnd3225357:0:-:crwdnd3225357:0$1$crwdnd3225357:0$2$crwdnd3225357:0$3$crwdnd3225357:0$10$crwdnd3225357:0$20$crwdnd3225357:0$30$crwdne3225357:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,10],[2,20],[3,30]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["crwdns3218676:0{Hours}crwdne3218676:0","crwdns5287453:0{Earnings}crwdne5287453:0"],"markings":"graph","range":[[-1,6.5],[-1,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2693864:0crwdne2693864:0","correct":true},{"content":"crwdns2693863:0crwdne2693863:0","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3b/97/7f4dad0ca792.json b/data/questions/3b/97/7f4dad0ca792.json new file mode 100644 index 0000000000..7211ceb58c --- /dev/null +++ b/data/questions/3b/97/7f4dad0ca792.json @@ -0,0 +1 @@ +{"content":"**Graph $y=1.4x$.**\n\n[[☃ interactive-graph 1]]\n\n\n\n**Which of the following statements are true?**\n\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The equation represents a proportional relationship.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $1.4$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{5}{7}$ .","correct":false},{"content":" A change of $2$ units in $x$ results in a change of $2.8$ units in $y$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $1.2$ units in $y$.","correct":false}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/aa/810b488a2136.json b/data/questions/3b/aa/810b488a2136.json new file mode 100644 index 0000000000..91fd1eb857 --- /dev/null +++ b/data/questions/3b/aa/810b488a2136.json @@ -0,0 +1 @@ +{"content":"crwdns3144080:0$TRAM$crwdne3144080:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/17b81dddd0ef5f94861d2bdf1e46109ed5bea87f","width":425},"correct":{"coords":[[-3,-6],[-3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/bb/bde5132af5ce.json b/data/questions/3b/bb/bde5132af5ce.json new file mode 100644 index 0000000000..8731af6cc5 --- /dev/null +++ b/data/questions/3b/bb/bde5132af5ce.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-4x^2+20x-16$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2.5,9],[4,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/c0/63babe281acb.json b/data/questions/3b/c0/63babe281acb.json new file mode 100644 index 0000000000..30eaa571fc --- /dev/null +++ b/data/questions/3b/c0/63babe281acb.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $JKLM$ is rotated $-270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/632e2dbc6bb670212c818ad5913cee890920c504","width":425},"correct":{"coords":[[7,-3],[5,5],[-3,3],[3,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/c7/0e26d76da3a5.json b/data/questions/3b/c7/0e26d76da3a5.json new file mode 100644 index 0000000000..8eea03feb3 --- /dev/null +++ b/data/questions/3b/c7/0e26d76da3a5.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -7-7i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-7,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/d5/aa0e8c61f296.json b/data/questions/3b/d5/aa0e8c61f296.json new file mode 100644 index 0000000000..f4f93b263e --- /dev/null +++ b/data/questions/3b/d5/aa0e8c61f296.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_3(2-x)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[2,-10],[2,10]],"coords":[[1,0],[-1,3]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/dd/f3ed43c7d73b.json b/data/questions/3b/dd/f3ed43c7d73b.json new file mode 100644 index 0000000000..bf5f8a396d --- /dev/null +++ b/data/questions/3b/dd/f3ed43c7d73b.json @@ -0,0 +1 @@ +{"content":"crwdns4070170:0$gcrwdne4070170:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,-3],[-1,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/f5/17d369873b56.json b/data/questions/3b/f5/17d369873b56.json new file mode 100644 index 0000000000..2da3d66c13 --- /dev/null +++ b/data/questions/3b/f5/17d369873b56.json @@ -0,0 +1 @@ +{"content":"The graph of the function $f(x)=-\\dfrac{1}{4}x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=-\\dfrac{1}{4}(x+3)^2$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-3,0],[-1,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/950389501cb3ba2f3708c314114bf9fac36fa80d","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3b/f6/f5f76efe679c.json b/data/questions/3b/f6/f5f76efe679c.json new file mode 100644 index 0000000000..89f223cba4 --- /dev/null +++ b/data/questions/3b/f6/f5f76efe679c.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\sin\\left(\\dfrac{1}{7}x\\right)-3$ in the interactive widget.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/0d/304b628c10ef.json b/data/questions/3c/0d/304b628c10ef.json new file mode 100644 index 0000000000..deff9f0e3d --- /dev/null +++ b/data/questions/3c/0d/304b628c10ef.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(-2.5,2)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(-2.5,2)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.5,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"First quadrant ","correct":false},{"content":"Second quadrant ","correct":true},{"content":"Third quadrant","correct":false},{"content":"Fourth quadrant","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3c/11/ea8344603e9a.json b/data/questions/3c/11/ea8344603e9a.json new file mode 100644 index 0000000000..98a7241e4b --- /dev/null +++ b/data/questions/3c/11/ea8344603e9a.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-7, 1)$ and $(-7, -5)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-7,-5],[-7,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6},{"maxError":null,"message":"ŔŘéèḿṁéèḿṁƀḃéèŕř ťțĥȟáàťț ďđíìśŝťțáàńňćĉéè śŝĥȟóòúùĺľďđ áàĺľẃẁáàýśŝ ƀḃéè ṕṗóòśŝíìťțíìṽṿéè.","simplify":"required","status":"wrong","strict":false,"value":-6}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/27/4716f47c1328.json b/data/questions/3c/27/4716f47c1328.json new file mode 100644 index 0000000000..850935f31c --- /dev/null +++ b/data/questions/3c/27/4716f47c1328.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57f214bda5a1021c49ba52ac8573887cde97bfbf","width":430},"correct":{"coords":[[-3,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/2e/1786e41216f4.json b/data/questions/3c/2e/1786e41216f4.json new file mode 100644 index 0000000000..529bcd277f --- /dev/null +++ b/data/questions/3c/2e/1786e41216f4.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=2\\cos(0.5x-0.25\\pi)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[3,-5],[1,-3]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/2f/2b382592571c.json b/data/questions/3c/2f/2b382592571c.json new file mode 100644 index 0000000000..141e3baef9 --- /dev/null +++ b/data/questions/3c/2f/2b382592571c.json @@ -0,0 +1 @@ +{"content":"The graph of the equation $y=\\dfrac{2}{3}x+2$ is shown on the coordinate grid below.\n\n$y=\\dfrac{2}{3}x+2$ is part of a system of two linear equations. The second equation's graph has a slope of $\\dfrac{5}{3}$ and a $y$-intercept of $8$.\n\n**Graph the second equation on the same grid.**\n\n**What is the solution to the system of equations?** \n$($[[☃ input-number 1]], [[☃ input-number 2]]$)$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/1cfda8b99d781125b2be81d146d3aff687fb46ba.png","width":425},"correct":{"coords":[[-3,3],[0,8]],"type":"linear"},"graph":{"type":"linear"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/33/d1bb8ad4dd44.json b/data/questions/3c/33/d1bb8ad4dd44.json new file mode 100644 index 0000000000..7f4da986b3 --- /dev/null +++ b/data/questions/3c/33/d1bb8ad4dd44.json @@ -0,0 +1 @@ +{"content":"**The quadrilateral shown in the graph is transformed by matrix $R$. Plot the resulting quadrilateral.** \n\n$R=\\left[\\begin{array} {ccc}\n3 & 0 \\\\\n0 & 3 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4f27b4eb054b0235d3c8fe1b7d612e7265f7c419","width":425},"correct":{"coords":[[9,3],[6,9],[-9,9],[-6,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/3e/037ea94b2105.json b/data/questions/3c/3e/037ea94b2105.json new file mode 100644 index 0000000000..84b919eff8 --- /dev/null +++ b/data/questions/3c/3e/037ea94b2105.json @@ -0,0 +1 @@ +{"content":"crwdns2972237:0crwdne2972237:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a309d068b766fd494de1621f0d3c5f958469a276","width":400},"correct":{"coords":[[[8,5],[5,1]],[[8,5],[5.5,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/5b/19d748baa2fc.json b/data/questions/3c/5b/19d748baa2fc.json new file mode 100644 index 0000000000..577be8f8a3 --- /dev/null +++ b/data/questions/3c/5b/19d748baa2fc.json @@ -0,0 +1 @@ +{"content":"Here's a graph of an exponential function $h$.\n\n[[☃ image 1]]\n\n**What's the domain of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. There is a \nfilled circle at the point (negative 3, 2). There is a curve from this point upwards and to the right, ending in an arrow at the edge of the graph.","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d5444b8481ad3cd60dece4366165c0e761744d23","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$x>-3$","correct":false},{"content":"$x>2$","correct":false},{"content":"$x \\geq -3$","correct":true,"isNoneOfTheAbove":false},{"content":"$x \\geq 2$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3c/7c/51aae3f669ce.json b/data/questions/3c/7c/51aae3f669ce.json new file mode 100644 index 0000000000..4517db188c --- /dev/null +++ b/data/questions/3c/7c/51aae3f669ce.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Subtract $2$ from $x$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$8$ | [[☃ numeric-input 1]]\n$6$ | [[☃ numeric-input 2]]\n$4$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":6,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":2,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,11],[-1,11]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","coords":[[4,2],[6,4],[8,6]],"numPoints":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/7f/72d843891bab.json b/data/questions/3c/7f/72d843891bab.json new file mode 100644 index 0000000000..925c5a6bdf --- /dev/null +++ b/data/questions/3c/7f/72d843891bab.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$120$|$6$|$24$|$2$|$1$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d2896239bfd9b195b0ce07265fa6e275543a64b3","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-1]],[[-5,0],[5,-4]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3c/88/6fdabf5dcf5f.json b/data/questions/3c/88/6fdabf5dcf5f.json new file mode 100644 index 0000000000..4c8e32aa80 --- /dev/null +++ b/data/questions/3c/88/6fdabf5dcf5f.json @@ -0,0 +1 @@ +{"content":"crwdns3508057:0$A$crwdnd3508057:0$y$crwdne3508057:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bcd21aad61b9b349519178485f0bef367ae8d67","width":400},"correct":{"coords":[[-3,-8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/90/59e26d10051a.json b/data/questions/3c/90/59e26d10051a.json new file mode 100644 index 0000000000..08946c2470 --- /dev/null +++ b/data/questions/3c/90/59e26d10051a.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -|x+5|+7, ~~\\text{Domain}~~[-8,9]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-5"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"7"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-5,7],[9,-7]],[[-8,4],[-5,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/3c/99/fd76fde65800.json b/data/questions/3c/99/fd76fde65800.json new file mode 100644 index 0000000000..b17ff3901d --- /dev/null +++ b/data/questions/3c/99/fd76fde65800.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/efd7eae128d19f3c41b88ac2ee2daba87a0c63ed","width":400},"correct":{"coords":[[6,3]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/b8/9c11bf7cf39c.json b/data/questions/3c/b8/9c11bf7cf39c.json new file mode 100644 index 0000000000..c20a1ab70b --- /dev/null +++ b/data/questions/3c/b8/9c11bf7cf39c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -12x +6y +36=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[6,-3],"radius":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/d4/5970a0bea972.json b/data/questions/3c/d4/5970a0bea972.json new file mode 100644 index 0000000000..f7c6105752 --- /dev/null +++ b/data/questions/3c/d4/5970a0bea972.json @@ -0,0 +1 @@ +{"content":"crwdns4115797:0$ABCD$crwdnd4115797:0$5$crwdne4115797:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5c496153513860da86fabcd3eb6a8ddfc2e43fa6","width":425},"correct":{"coords":[[5,-5],[4,2],[-1,1],[-2,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/dc/2c4ffc292019.json b/data/questions/3c/dc/2c4ffc292019.json new file mode 100644 index 0000000000..4590a8f02d --- /dev/null +++ b/data/questions/3c/dc/2c4ffc292019.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=-x+6\n\\\\\\\\\n& 5x+5y=15\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,3],[1,2]],[[0,6],[1,5]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□□□ □□□ □□□□□□□□","correct":false},{"content":"□□ □□□□□□□□□","correct":true},{"content":"□□□□□□□□□□ □□□□ □□□□□□□□□","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3c/dc/3d9967a820b4.json b/data/questions/3c/dc/3d9967a820b4.json new file mode 100644 index 0000000000..1b00e87a43 --- /dev/null +++ b/data/questions/3c/dc/3d9967a820b4.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $PONY$ is rotated $180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3aca0ff794b24ec83d27fd8c58b389ba09f6916f","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[2,-7],[5,-6],[6,-3],[2,-3]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/e0/811e3ebc3bb5.json b/data/questions/3c/e0/811e3ebc3bb5.json new file mode 100644 index 0000000000..fdfd21694d --- /dev/null +++ b/data/questions/3c/e0/811e3ebc3bb5.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad5715c11d13cd92df0e9ba05cf362e2945b9684","width":425},"correct":{"coords":[[-2,0],[4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/e5/0af862882919.json b/data/questions/3c/e5/0af862882919.json new file mode 100644 index 0000000000..2e0e38f904 --- /dev/null +++ b/data/questions/3c/e5/0af862882919.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{3}{2}x+2$ \n \n\n\n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\nDrag the points on the graph to the specified coordinates.\n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/e80a5c39c2feea03393b4fe2d052fd4776d1f50e.png":{"width":426,"height":431}},"widgets":{"input-number 1":{"type":"input-number","graded":true,"options":{"value":"5","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"input-number 2":{"type":"input-number","graded":true,"options":{"value":"8","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,11],[-1,11]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[2,5],[4,8]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/f0/4917f90da948.json b/data/questions/3c/f0/4917f90da948.json new file mode 100644 index 0000000000..9213753d70 --- /dev/null +++ b/data/questions/3c/f0/4917f90da948.json @@ -0,0 +1 @@ +{"content":"Garret collected data about exams in each of his classes from the previous year. \n \n**Plot the data in a scatter plot.** \n\n | | | | | | |\n:-- | :--: | :--: | :--: | :--: | :--: | :--:\n**Class** | History | Arts | English | Computer science | Math | Biology\n**Period** | $1$ | $6$ | $2$ | $7$ | $3$ | $4$\n**Average score** | $60$ | $90$ | $55$ | $95$ | $60$ | $80$\n\n\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":"1","url":"","width":0},"correct":{"coords":[[3,60],[6,90],[2,55],[4,80],[7,95],[1,60]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,10],"labels":["$\\text{Period}$","$\\text{Avg score}$"],"markings":"graph","range":[[-0.7,8],[-10,105]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/f0/f12588541a65.json b/data/questions/3c/f0/f12588541a65.json new file mode 100644 index 0000000000..4395766327 --- /dev/null +++ b/data/questions/3c/f0/f12588541a65.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{1}{3}(x+3)(x-3)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-3],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3c/f2/c66521489a42.json b/data/questions/3c/f2/c66521489a42.json new file mode 100644 index 0000000000..de493e6fc9 --- /dev/null +++ b/data/questions/3c/f2/c66521489a42.json @@ -0,0 +1 @@ +{"content":"Move the line segments to make a square with corners at $(-2, 2)$, $(2, 2)$, $(2, -2)$, and $(-2, -2)$.\n\n[[☃ interactive-graph 1]]\n\nThen enter the number $3$ in this box: [[☃ numeric-input 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[[-2,2],[2,2]],[[2,2],[2,-2]],[[-2,2],[-2,-2]],[[-2,-2],[2,-2]]],"hasBeenInteractedWith":true,"markings":"graph","numSegments":4,"range":[[-5,5],[-5,5]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"numSegments":4,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"dashed","points":[{"color":"grayH","coord":[-2,2],"filled":true,"type":"point"},{"color":"grayH","coord":[2,2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","kind":"segment","lineStyle":"dashed","points":[{"color":"grayH","coord":[-2,2],"filled":true,"type":"point"},{"color":"grayH","coord":[-2,-2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","kind":"segment","lineStyle":"dashed","points":[{"color":"grayH","coord":[-2,-2],"filled":true,"type":"point"},{"color":"grayH","coord":[2,-2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","kind":"segment","lineStyle":"dashed","points":[{"color":"grayH","coord":[2,-2],"filled":true,"type":"point"},{"color":"grayH","coord":[2,2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"}],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"The answer is 3 because I said so.","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"The number 3 goes here","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/06/ee932fb841a7.json b/data/questions/3d/06/ee932fb841a7.json new file mode 100644 index 0000000000..829f38d6d1 --- /dev/null +++ b/data/questions/3d/06/ee932fb841a7.json @@ -0,0 +1 @@ +{"content":"The line $y= -5x+6$, and the point $(1,-4)$ are shown in the graph below.\n\n**Find the inequalities that make $(1,-4)$ a part of the solution set.**\n\n$\\qquad$ [[☃ expression 1]]\n\n$\\qquad$ [[☃ expression 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/76b7e08335e444ba1d3a24606b3a04ee320ff2ff) ","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/76b7e08335e444ba1d3a24606b3a04ee320ff2ff":{"height":425,"width":425}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y<-5x+6"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"expression 2":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y\\le-5x+6"}],"buttonSets":["basic","basic relations","advanced 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2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"Would (1,-4) not be a solution if the line is dashed?","content":"Solid line","correct":false},{"clue":"Would (1,-4) not be a solution if the line is solid?","content":"Dashed line","correct":false},{"content":"The line can be either solid or dashed","correct":true,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3d/0d/cc4f43864809.json b/data/questions/3d/0d/cc4f43864809.json new file mode 100644 index 0000000000..09f71e29d4 --- /dev/null +++ b/data/questions/3d/0d/cc4f43864809.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nHolly swims without a membership. Consider the relationship between the number of days Holly swims and the total cost.\n\n \n**Fill in the table with the missing values.** \n \nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n\n**Is the relationship between the number of days Holly swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/62004949b9136c80c683b8a2acf38ac878ed4c22.png":{"height":428,"width":450}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":0,"scale":"1","url":"","width":0},"correct":{"coords":[[2,4],[1,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\ťțéèẍẋťț{ĎĐáàýśŝ}","\\ťțéèẍẋťț{ĆĈóòśŝťț}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Ýéèśŝ**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":true},{"content":"**ŃŇóò**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ńňóòťț ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/0d/da9f4e9e7d80.json b/data/questions/3d/0d/da9f4e9e7d80.json new file mode 100644 index 0000000000..e912c72696 --- /dev/null +++ b/data/questions/3d/0d/da9f4e9e7d80.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$61$|$-31$|$71$|$101$|$-11$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bc3d431242174bec47c29a8a864032066e6d5770","width":400},"correct":{"coords":[[[-5,6],[5,-1]],[[-5,3],[5,5]],[[-5,0],[5,-4]],[[-5,-3],[5,-7]],[[-5,-6],[5,2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3d/11/ae7f86b406d2.json b/data/questions/3d/11/ae7f86b406d2.json new file mode 100644 index 0000000000..6dfe52685c --- /dev/null +++ b/data/questions/3d/11/ae7f86b406d2.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ZAP}$ is rotated $-180^\\circ$ about the point $(-5,1)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5012f1a530dfb24e356b4a927cf9bcb459622144","width":425},"correct":{"coords":[[-8,-1],[-2,-1],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/12/2aa3032ce6f4.json b/data/questions/3d/12/2aa3032ce6f4.json new file mode 100644 index 0000000000..6899d5afed --- /dev/null +++ b/data/questions/3d/12/2aa3032ce6f4.json @@ -0,0 +1 @@ +{"content":"Jane earns money walking dogs on the weekends. Jane charges $\\$5$ for each dog she walks.\n\n**Complete the table for the given ratio.** \n \nDogs, $x$ | Charge in dollars, $y$ \n:-: | :-: \n$1$ | $5$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[5,25],[3,15],[1,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-2,35]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":25}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/16/097bf68cbb5c.json b/data/questions/3d/16/097bf68cbb5c.json new file mode 100644 index 0000000000..ef1165c4a4 --- /dev/null +++ b/data/questions/3d/16/097bf68cbb5c.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Subtract $2$ from $x$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$8$ | [[☃ numeric-input 1]]\n$6$ | [[☃ numeric-input 2]]\n$4$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[6,4],[8,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/19/ad55acc9943f.json b/data/questions/3d/19/ad55acc9943f.json new file mode 100644 index 0000000000..c1f1c9bca1 --- /dev/null +++ b/data/questions/3d/19/ad55acc9943f.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f72cd72e879d0f5df1b5866d97d60e5d26bd4bd","width":425},"correct":{"coords":[[-3,-1],[1,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/24/ecd6508c19ad.json b/data/questions/3d/24/ecd6508c19ad.json new file mode 100644 index 0000000000..5808a09fa5 --- /dev/null +++ b/data/questions/3d/24/ecd6508c19ad.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=2(x+3)^2-9$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-3,-9],[0,9]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-9},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/38/7f61e9ecb132.json b/data/questions/3d/38/7f61e9ecb132.json new file mode 100644 index 0000000000..d49148a67d --- /dev/null +++ b/data/questions/3d/38/7f61e9ecb132.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& 5x-10y=20\n\\\\\\\\\n& 2x+4y=-16\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-8,0],[0,-4]],[[4,0],[0,-2]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-3}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/3a/0ce68ed10b10.json b/data/questions/3d/3a/0ce68ed10b10.json new file mode 100644 index 0000000000..ab11ddfc40 --- /dev/null +++ b/data/questions/3d/3a/0ce68ed10b10.json @@ -0,0 +1 @@ +{"content":"Tula bakes cookies before hanging out with her friends every week.\n\nShe recorded the amount of sugar she uses (in grams) and how many cookies she made for five different batches.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Sugar (g)** | $350$ | $200$ | $175$ | $300$ | $225$\n**Cookies** | $26$ | $19$ | $15$ | $25$ | $16$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"box":[288,288],"correct":{"coords":[[350,26],[200,19],[175,15],[300,25],[225,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[25,1],"labels":["$\\text{Sugar}$","$\\text{Cookies}$"],"markings":"graph","range":[[-25,400],[-2,30]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[25,1],"step":[50,2],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/3e/f5b18c564155.json b/data/questions/3d/3e/f5b18c564155.json new file mode 100644 index 0000000000..3822d8276b --- /dev/null +++ b/data/questions/3d/3e/f5b18c564155.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle COD$ after a translation by $\\langle-5,-3\\rangle$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/96c8c5f29345468ab6b0066b3f978293ab34cc69.png","width":425},"correct":{"coords":[[0,5],[-2,1],[2,-1]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/3d/4a/38bfcb830b4c.json b/data/questions/3d/4a/38bfcb830b4c.json new file mode 100644 index 0000000000..ca163dc7b3 --- /dev/null +++ b/data/questions/3d/4a/38bfcb830b4c.json @@ -0,0 +1 @@ +{"content":"Leben lives at $3^{\\text{rd}}$ Avenue and $1^{\\text{st}}$ Street, represented by the point $(3,1)$ on the map below. Her school is located at $5^{\\text{th}}$ Avenue and $8^{\\text{th}}$ Street, represented by $(5, 8)$ on the map. To get to school, she walks over to $5^{\\text{th}}$ Avenue and up to $8^{\\text{th}}$ Street.\n\n**Plot Leben's home and her school on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Leben walk to get to school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,1],[5,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/55/a6bd1f6f5cbd.json b/data/questions/3d/55/a6bd1f6f5cbd.json new file mode 100644 index 0000000000..789f702c01 --- /dev/null +++ b/data/questions/3d/55/a6bd1f6f5cbd.json @@ -0,0 +1 @@ +{"content":"crwdns3074213:0{A}crwdnd3074213:0{B}crwdnd3074213:0{C}crwdne3074213:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":false},{"content":"crwdns2671927:0crwdne2671927:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":true},{"content":"crwdns2671923:0crwdne2671923:0","correct":false},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/56998995932a4812e8463309881de22ce9688394.png","width":400},"box":[340,340],"correct":{"coords":[[[7,7],[4,-6]],[[-8,4],[7,7]],[[-8,4],[4,-6]]],"numSegments":3,"type":"segment"},"editableSettings":["graph","snap","image","measure"],"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/67/f772c723dd03.json b/data/questions/3d/67/f772c723dd03.json new file mode 100644 index 0000000000..6170db6fad --- /dev/null +++ b/data/questions/3d/67/f772c723dd03.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-5,-2],[4,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/68/2328c78b7410.json b/data/questions/3d/68/2328c78b7410.json new file mode 100644 index 0000000000..dc494686ee --- /dev/null +++ b/data/questions/3d/68/2328c78b7410.json @@ -0,0 +1 @@ +{"content":"crwdns3458187:0crwdne3458187:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-3,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/6c/32231c95c12f.json b/data/questions/3d/6c/32231c95c12f.json new file mode 100644 index 0000000000..82345749fd --- /dev/null +++ b/data/questions/3d/6c/32231c95c12f.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x -5,y )$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa884052e74fe0acc08fcb090d8355aa19dd7d4f","width":425},"correct":{"coords":[[-3,-4],[0,2],[-2,-1],[-4,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/88/1873d7ba94bf.json b/data/questions/3d/88/1873d7ba94bf.json new file mode 100644 index 0000000000..0613059f94 --- /dev/null +++ b/data/questions/3d/88/1873d7ba94bf.json @@ -0,0 +1 @@ +{"content":"crwdns4069907:0$fcrwdne4069907:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,8],[0,6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/8e/fbeb49ef994a.json b/data/questions/3d/8e/fbeb49ef994a.json new file mode 100644 index 0000000000..53c42c4cbd --- /dev/null +++ b/data/questions/3d/8e/fbeb49ef994a.json @@ -0,0 +1 @@ +{"content":"You are a software engineer. You want to create a large scale drawing of a processor inside a cell phone. The processor is a rectangular chip with side lengths $9.5\\text{ mm}$ and $7.5\\text{ mm}$.\n\n**Create a scale drawing of the processor using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[14,3.5],[14,13],[6.5,13],[6.5,3.5]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-1,20],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/8f/6fcb872f7ee5.json b/data/questions/3d/8f/6fcb872f7ee5.json new file mode 100644 index 0000000000..2d7a70d5c1 --- /dev/null +++ b/data/questions/3d/8f/6fcb872f7ee5.json @@ -0,0 +1 @@ +{"content":"**$\\triangle ABC$ को $\\triangle A'B'C'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/08955a488d186a768440df6bd005f236e8e7c7bd","width":425},"correct":{"coords":[[-4,1],[4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/97/a30f66d4b4d1.json b/data/questions/3d/97/a30f66d4b4d1.json new file mode 100644 index 0000000000..47283bd0d2 --- /dev/null +++ b/data/questions/3d/97/a30f66d4b4d1.json @@ -0,0 +1 @@ +{"content":"**Graph $y=6\\cos\\left(\\dfrac{\\pi}{4}x\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[2,-2],[0,4]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/99/7a64761a95c7.json b/data/questions/3d/99/7a64761a95c7.json new file mode 100644 index 0000000000..8a7c0f9ce6 --- /dev/null +++ b/data/questions/3d/99/7a64761a95c7.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[2,4],[5,6]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/9a/b1e574e68d20.json b/data/questions/3d/9a/b1e574e68d20.json new file mode 100644 index 0000000000..672a927ede --- /dev/null +++ b/data/questions/3d/9a/b1e574e68d20.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$1$|$2$|$3$|$4$\n$y$|$0$|$3$|$6$|$9$|$12$\n\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/aa/1e7efa7602ac.json b/data/questions/3d/aa/1e7efa7602ac.json new file mode 100644 index 0000000000..1ea9f84210 --- /dev/null +++ b/data/questions/3d/aa/1e7efa7602ac.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{PQR}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/544e419e8dc7eb5c6202766a936b468d20e4ea53","width":425},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/c2/1faaf788a0c7.json b/data/questions/3d/c2/1faaf788a0c7.json new file mode 100644 index 0000000000..cb6062f2c6 --- /dev/null +++ b/data/questions/3d/c2/1faaf788a0c7.json @@ -0,0 +1 @@ +{"content":"crwdns3458206:0crwdne3458206:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/e9/4b72e423469a.json b/data/questions/3d/e9/4b72e423469a.json new file mode 100644 index 0000000000..b011227080 --- /dev/null +++ b/data/questions/3d/e9/4b72e423469a.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to create a triangle with vertices at the following points.** \n\n$(0, -4.5), (−7.5, 0), (0,6.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,-4.5],[-7.5,0],[0,6.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/f1/62cdf57080f2.json b/data/questions/3d/f1/62cdf57080f2.json new file mode 100644 index 0000000000..f23bbd1d74 --- /dev/null +++ b/data/questions/3d/f1/62cdf57080f2.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers in the complex plane below:**\n\n* $z=1+ 5i$ \n* $ w=-5+ 2i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":6.7},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[1,5],[-5,2],[-2,3.5],[6,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/f8/72dbac9edd62.json b/data/questions/3d/f8/72dbac9edd62.json new file mode 100644 index 0000000000..70faf5934b --- /dev/null +++ b/data/questions/3d/f8/72dbac9edd62.json @@ -0,0 +1 @@ +{"content":"**Construct a $135^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/7611383fc5b1e00cf8203424ace9721fd3e123f4.png":{"height":227,"width":401},"https://ka-perseus-images.s3.amazonaws.com/7f12d9ea864c176f2f5dcf0548f5192e86c79e67.png":{"height":193,"width":400}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6.888438648072231,-2.1115613519277696],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/fa/5c9282e5af29.json b/data/questions/3d/fa/5c9282e5af29.json new file mode 100644 index 0000000000..e0afaaa22d --- /dev/null +++ b/data/questions/3d/fa/5c9282e5af29.json @@ -0,0 +1 @@ +{"content":"###Prod Example: Test angle snapping with angles showing###\n\n**Drag the vertices of the triangle below to draw a triangle with $45^\\circ$, $35^\\circ$, and $100^\\circ$ angles.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-12,12],[-12,12]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","showAngles":true,"showSides":false,"snapTo":"angles"},"correct":{"type":"polygon","match":"similar","coords":[[-2.7317170022188737,-8.607482496997033],[2.9204199736582312,8.285714285714286],[-6.364571590277721,3.65623545014836]],"showSides":false,"showAngles":true,"snapTo":"angles"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3d/fc/3f4b87738b8e.json b/data/questions/3d/fc/3f4b87738b8e.json new file mode 100644 index 0000000000..3fe8ccf046 --- /dev/null +++ b/data/questions/3d/fc/3f4b87738b8e.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/024bfc510627906fb2cfac604ac16cbd5c5de07c","width":430},"correct":{"coords":[[8,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/06/6c96dac34e9a.json b/data/questions/3e/06/6c96dac34e9a.json new file mode 100644 index 0000000000..ba09a70895 --- /dev/null +++ b/data/questions/3e/06/6c96dac34e9a.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(3,-3)$, and the upper-right coordinates are $(7,-3)$. The rectangle has an area of $16$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[7,-7],[7,-3],[3,-3],[3,-7]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/0f/0a82dc223321.json b/data/questions/3e/0f/0a82dc223321.json new file mode 100644 index 0000000000..5d75d0b3cc --- /dev/null +++ b/data/questions/3e/0f/0a82dc223321.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=3|x -5|+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,1],[6,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/28/1eac97b6d0be.json b/data/questions/3e/28/1eac97b6d0be.json new file mode 100644 index 0000000000..9931a5af53 --- /dev/null +++ b/data/questions/3e/28/1eac97b6d0be.json @@ -0,0 +1 @@ +{"content":"Nick has been doing pushups and then measuring the size of his bicep afterwards. His data are shown in the table below. Suppose he uses the line $y = x + 245$ to model his bicep size as a function of pushups.\n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n****Would an exponential or quadratic model be a better fit for the data?**** [[☃ dropdown 1]] \n\n | | | || ||\n- | - | -\n**Pushups** |$0$ | $10$| $20$ | $30$ | $40$|$50$\n**Size of bicep (cm)** | $245$ | $265$| $275$ | $280$| $282$|$283$\n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-3},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-12},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[50,-12],[40,-3],[30,5],[0,0],[10,10],[20,10]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["x","y"],"markings":"graph","range":[[-8,60],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.5],"step":[5,2]},"type":"interactive-graph"}}} diff --git a/data/questions/3e/2c/a0113e36c878.json b/data/questions/3e/2c/a0113e36c878.json new file mode 100644 index 0000000000..3336b96a7f --- /dev/null +++ b/data/questions/3e/2c/a0113e36c878.json @@ -0,0 +1 @@ +{"content":"Gian is allowed to spend $45$ minutes on the computer after dinner. He spends his entire $45$ minutes either watching videos or playing games.\n\n**Write an equation for the number of minutes Gian spends playing games, $y$, if he spends $x$ minutes watching videos.**\n\n[[☃ expression 1]]\n\n\nOn Monday, Gian spent $5$ minutes watching videos. On Tuesday, he spent $25$ minutes watching videos.\n\n\n**Place points on the graph to show Gian's activity for Monday and Tuesday.**\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=45-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[5,40],[25,20]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"graph","range":[[-1,46],[-1,46]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/2d/79eea7602c94.json b/data/questions/3e/2d/79eea7602c94.json new file mode 100644 index 0000000000..b7dd4576ee --- /dev/null +++ b/data/questions/3e/2d/79eea7602c94.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-6)$ and has a slope of $\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[-5,-6],[-2,-4]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/42/598b447a33a5.json b/data/questions/3e/42/598b447a33a5.json new file mode 100644 index 0000000000..346b5b7a30 --- /dev/null +++ b/data/questions/3e/42/598b447a33a5.json @@ -0,0 +1 @@ +{"content":"You are a landscape architect. For your first public project you are asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $10\\text{ m}$ and height $15\\text{ m}$.\n\n**Create a scale drawing of the garden using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[13,4],[3,19],[3,4]],"match":"similar","numSides":3,"showSides":true,"type":"polygon"},"graph":{"numSides":3,"showSides":true,"type":"polygon"},"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,20],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/52/52907d8c00d3.json b/data/questions/3e/52/52907d8c00d3.json new file mode 100644 index 0000000000..72268e6586 --- /dev/null +++ b/data/questions/3e/52/52907d8c00d3.json @@ -0,0 +1 @@ +{"content":"Each small square in the figure below has an area of $1$ unit$^2$.\n\n**What is the area of the entire figure?** \n [[☃ input-number 1]] units$^2$\n\n**Move the points to make a rectangle with an area of $\\dfrac{1}{7}$ of the large shape.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":49},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/ae42002aa864e86b38a696b8f23f14a0bc356c80.png","width":400},"correct":{"coords":[[8,3],[8,4],[1,4],[1,3]],"match":"congruent","numSides":4,"showAngles":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[0,10],[0,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/58/a8a19d3b70f1.json b/data/questions/3e/58/a8a19d3b70f1.json new file mode 100644 index 0000000000..e44ab30ec1 --- /dev/null +++ b/data/questions/3e/58/a8a19d3b70f1.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=5(x-1)^2-5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-5],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/5e/2cf25f82b32c.json b/data/questions/3e/5e/2cf25f82b32c.json new file mode 100644 index 0000000000..910a478383 --- /dev/null +++ b/data/questions/3e/5e/2cf25f82b32c.json @@ -0,0 +1 @@ +{"content":"**कांच के टूटने को किस प्रकार के परिवर्तन में वर्गीकृत किया जा सकता है?**\n\n\n\n[[☃ radio 1]]","images":{},"widgets":{"explanation 1":{"options":{"explanation":"explanation goes here\n\nmore explanation","hidePrompt":"Hide explanation","showPrompt":"Explain","widgets":{}},"type":"explanation","version":{"major":0,"minor":0}},"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"matrix 1":{"options":{"answers":[[]],"cursorPosition":[0,0],"matrixBoardSize":[3,3],"prefix":"","suffix":""},"type":"matrix","version":{"major":0,"minor":0}},"measurer 1":{"options":{"box":[480,480],"image":{},"rulerLabel":"","rulerLength":10,"rulerPixels":40,"rulerTicks":10,"showProtractor":true,"showRuler":false},"type":"measurer","version":{"major":1,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"धीमी गति से होने वाला परिवर्तन (Slow change)","correct":false},{"clue":"कांच का टूटना एक तीव्र गति से होने वाला परिवर्तन है क्योंकि यह अचानक और त्वरित होता है।","content":"तीव्र गति से होने वाला परिवर्तन (Fast change)","correct":true},{"clue":"कांच का टूटना उत्क्रमणीय परिवर्तन नहीं है; एक बार कांच के टूट जाने पर उसे उसकी मूल स्थिति में वापस नहीं लाया जा सकता।","content":"उत्क्रमणीय परिवर्तन (Reversible change)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}},"transformer 1":{"alignment":"default","graded":true,"options":{"correct":{"shape":{"coords":[[2,2],[2,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"drawSolutionShape":true,"gradeEmpty":false,"graph":{"backgroundImage":{"url":null},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"dynamic","starting":{"shape":{"coords":[[2,2],[-5,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":true,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[2,-4],[2,2]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":true,"required":false},"translation":{"constraints":{},"enabled":true,"required":false}},"version":1.2},"static":false,"type":"transformer","version":{"major":0,"minor":0}},"video 1":{"options":{"location":""},"type":"video","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/66/5f711d7e492a.json b/data/questions/3e/66/5f711d7e492a.json new file mode 100644 index 0000000000..bedc68136b --- /dev/null +++ b/data/questions/3e/66/5f711d7e492a.json @@ -0,0 +1 @@ +{"content":"In order to become a Silver Elite Member at Ripped Fitness, members must lift a total of $20{,}000$ $\\text{kg}$ or more in a single workout. David intends to accomplish this by only using the bench press and the squat machine. He will lift $100$ $\\text{kg}$ each bench press repetition and $200$ $\\text{kg}$ each squat repetition.\n\n**Write an *inequality* that represents the number of repetitions on the bench press $(B)$ and the squat machine $(S)$ that David needs to complete to become a Silver Elite Member.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $S$ on the horizontal axis and $B$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If David completes $95$ repetitions on the bench press $(B)$, which of the following numbers of squat machine repetitions $(S)$ can he complete to become a Silver Elite Member?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"100B+200S>=20000","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[20,25],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["S","B"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-15,150],[-25,250]],"gridStep":[10,10],"snapStep":[5,5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,200],[100,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$40$","correct":false},{"content":"$45$","correct":false},{"content":"$50$","correct":false},{"content":"$55$","correct":true},{"content":"$60$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/78/bfd482ea26c0.json b/data/questions/3e/78/bfd482ea26c0.json new file mode 100644 index 0000000000..f0b5a540b5 --- /dev/null +++ b/data/questions/3e/78/bfd482ea26c0.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=-6+2i$ \n* $ w=4+ i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8378e3360e81756032130de9990e563b29783c9a.png","width":425},"correct":{"coords":[[-1,1.5],[-6,2],[4,1],[-10,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/89/e2d970585065.json b/data/questions/3e/89/e2d970585065.json new file mode 100644 index 0000000000..c78aa0ce18 --- /dev/null +++ b/data/questions/3e/89/e2d970585065.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1906928c70f0606c99e4a3ff2f1c7bc067b696c7.png":{"height":241,"width":144},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["ṔṖóòíìńňťț","ṼṾáàĺľúùéè"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-\\dfrac47$","$\\dfrac27$","$1$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/93/a3709f8b9b28.json b/data/questions/3e/93/a3709f8b9b28.json new file mode 100644 index 0000000000..bccf1098a8 --- /dev/null +++ b/data/questions/3e/93/a3709f8b9b28.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x +4,y -3)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a6a512f996451dff3305296a69fe2a336a66dc0a","width":425},"correct":{"coords":[[6,-3],[1,-2],[-3,-2],[2,-5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/a1/85b24eb1cfa3.json b/data/questions/3e/a1/85b24eb1cfa3.json new file mode 100644 index 0000000000..518e138396 --- /dev/null +++ b/data/questions/3e/a1/85b24eb1cfa3.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{3}x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[3,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"ŤŢĥȟéè éèʠúùáàťțíìóòńň ŕřéèṕṗŕřéèśŝéèńňťțśŝ áà ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $\\dfrac{2}{3}$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{2}{3}$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $2$ units in $y$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $1$ unit in $y$.","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/3e/a1/e404bddb1ca8.json b/data/questions/3e/a1/e404bddb1ca8.json new file mode 100644 index 0000000000..9db32daafc --- /dev/null +++ b/data/questions/3e/a1/e404bddb1ca8.json @@ -0,0 +1 @@ +{"content":"crwdns2972238:0crwdne2972238:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e7309d6531aabb8e95172f158358dcb5e32e18ba","width":400},"correct":{"coords":[[[0,4],[-1,1]],[[5,1],[0,4]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/aa/a8b0598ac6a5.json b/data/questions/3e/aa/a8b0598ac6a5.json new file mode 100644 index 0000000000..2d237871a1 --- /dev/null +++ b/data/questions/3e/aa/a8b0598ac6a5.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $1$ unit to the right and $8$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2a5216d17d63661ec54655449e346755521258f1","width":425},"correct":{"coords":[[-4,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/ad/2c8ed8f5d5a6.json b/data/questions/3e/ad/2c8ed8f5d5a6.json new file mode 100644 index 0000000000..6621ca94f9 --- /dev/null +++ b/data/questions/3e/ad/2c8ed8f5d5a6.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $2$. Then add $5$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[1,7],[2,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/be/5135f62c0164.json b/data/questions/3e/be/5135f62c0164.json new file mode 100644 index 0000000000..09733eeeea --- /dev/null +++ b/data/questions/3e/be/5135f62c0164.json @@ -0,0 +1 @@ +{"content":"crwdns2949313:0$4$crwdnd2949313:0$ycrwdnd2949313:0$4$crwdnd2949313:0$4$crwdnd2949313:0$ycrwdnd2949313:0{x}crwdne2949313:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3586951a3290430cb8496de9ef8ea2460c6d4b9c.png","width":425},"correct":{"coords":[[9,2],[3,1],[1,0],[27,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,29],[-6,29]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/c6/03b8fc4c3f99.json b/data/questions/3e/c6/03b8fc4c3f99.json new file mode 100644 index 0000000000..bedbc08511 --- /dev/null +++ b/data/questions/3e/c6/03b8fc4c3f99.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 3-7i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[3,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/cf/4c67f74e7616.json b/data/questions/3e/cf/4c67f74e7616.json new file mode 100644 index 0000000000..17fd76f4db --- /dev/null +++ b/data/questions/3e/cf/4c67f74e7616.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-2\\cdot 3^x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"exponential","asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]]},"availableTypes":["exponential"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/ef/23c266e9de29.json b/data/questions/3e/ef/23c266e9de29.json new file mode 100644 index 0000000000..ceafd8fae2 --- /dev/null +++ b/data/questions/3e/ef/23c266e9de29.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{3}{8}(x -1)(x -9)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-6],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/f1/c28a65e066dc.json b/data/questions/3e/f1/c28a65e066dc.json new file mode 100644 index 0000000000..57bd87c47e --- /dev/null +++ b/data/questions/3e/f1/c28a65e066dc.json @@ -0,0 +1 @@ +{"content":"The graph of the function $f(x)=x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=(x-2)^2-4$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2,-4],[4,0]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7bf46935d39daf9af99ee61919b7eb3b2ebc8077","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3e/fb/ea3783caabed.json b/data/questions/3e/fb/ea3783caabed.json new file mode 100644 index 0000000000..7a00763c5e --- /dev/null +++ b/data/questions/3e/fb/ea3783caabed.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b0ffac78e0024194b91fa2673ff93d86cdfcdeb7","width":400},"correct":{"coords":[[-8,8],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/03/a54f8662ef3e.json b/data/questions/3f/03/a54f8662ef3e.json new file mode 100644 index 0000000000..8b870a4bf2 --- /dev/null +++ b/data/questions/3f/03/a54f8662ef3e.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3d310d241a79e109eb038ad5357263b78aa5f21f","width":425},"correct":{"coords":[[1,-1],[-3,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/07/7d8c712cd280.json b/data/questions/3f/07/7d8c712cd280.json new file mode 100644 index 0000000000..42da1ec778 --- /dev/null +++ b/data/questions/3f/07/7d8c712cd280.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-4,1)$, and which has the point $(0,4)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,1],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/16/78be2a524dfd.json b/data/questions/3f/16/78be2a524dfd.json new file mode 100644 index 0000000000..cee0ce8339 --- /dev/null +++ b/data/questions/3f/16/78be2a524dfd.json @@ -0,0 +1 @@ +{"content":"**Graph $2x-6y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-2],[6,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/29/02ffd29508a2.json b/data/questions/3f/29/02ffd29508a2.json new file mode 100644 index 0000000000..9df7fbc14f --- /dev/null +++ b/data/questions/3f/29/02ffd29508a2.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $4$ that contains the point $(3,0)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,0],[4,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/2d/25cd9e094939.json b/data/questions/3f/2d/25cd9e094939.json new file mode 100644 index 0000000000..71eb79a35f --- /dev/null +++ b/data/questions/3f/2d/25cd9e094939.json @@ -0,0 +1 @@ +{"content":"crwdns6420411:0$ycrwdnd6420411:0{x-4}crwdne6420411:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[4,-3],[5,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/30/8b750081a1db.json b/data/questions/3f/30/8b750081a1db.json new file mode 100644 index 0000000000..1055518b3d --- /dev/null +++ b/data/questions/3f/30/8b750081a1db.json @@ -0,0 +1 @@ +{"content":"Tygo loves to eat popsicles in the summer. His mom buys popsicles in boxes that have $6$ popsicles per box, and let's Tygo eat them all! In the graph below, $b$ is the number of boxes of popsicles Tygo's mom buys, and $p$ is the number of popsicles Tygo gets to eat.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$p=6b$\n\n**Plot points on the graph that show the number of popsicles Tygo gets to eat if his mom buys $2$ or $5$ boxes.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["crwdns4129953:0{Boxes}crwdne4129953:0","crwdns4203654:0{Popsicles}crwdne4203654:0"],"markings":"graph","range":[[-1,10],[-5,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/3f/4c381c99e3a4.json b/data/questions/3f/3f/4c381c99e3a4.json new file mode 100644 index 0000000000..510dcb19f3 --- /dev/null +++ b/data/questions/3f/3f/4c381c99e3a4.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of days after today, and the $y$-axis represents the temperature forecast in degrees Celsius. The points $(3,7)$ and $(3,-3)$ represent the high and low temperature forecasts of the same day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**What is the difference between the high and the low temperature forecasts?** \n\n[[☃ input-number 1]] degrees Celsius\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,-3],[3,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[0.5,1],"labels":["ẍẋ (\\ťțéèẍẋťț{ďđáàýśŝ})","ý (^\\ćĉíìŕřćĉ\\ťțéèẍẋťț{ĆĈ})"],"markings":"graph","range":[[-2,8],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/41/976935f036fa.json b/data/questions/3f/41/976935f036fa.json new file mode 100644 index 0000000000..40305d13d4 --- /dev/null +++ b/data/questions/3f/41/976935f036fa.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-2x^2+12x-9$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[3,9],[0,-9]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-9},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/47/04774a707440.json b/data/questions/3f/47/04774a707440.json new file mode 100644 index 0000000000..5d1182973e --- /dev/null +++ b/data/questions/3f/47/04774a707440.json @@ -0,0 +1 @@ +{"content":"Consider this matrix transformation:\n\n$\\left[\\begin{array}{c}\n-2 & 3\n\\\\\\\\\n1 & 2\n\\end{array}\\right]$\n\nBelow is an interactive graph with the unit square graphed in it.\n\n**Draw the image of the unit square under this transformation.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e39c1c4aea2324861693fd34915606378a180911","width":425},"correct":{"coords":[[3,2],[1,3],[-2,1],[0,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/4b/0951fae3f950.json b/data/questions/3f/4b/0951fae3f950.json new file mode 100644 index 0000000000..c40b6acbaa --- /dev/null +++ b/data/questions/3f/4b/0951fae3f950.json @@ -0,0 +1 @@ +{"content":"Parallelogram $ABCD$ undergoes the following transformations in order: \n\n1. A reflection over the line $x = 2$. \n2. A translation 2 units up and 1 unit to the right.\n\n[[☃ interactive-graph 1]]\n\nAfter the reflection, point C is in [[☃ dropdown 1]].\n\nAfter the reflection and translation, point C is in [[☃ dropdown 2]]\n","widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":false},{"content":"Quadrant IV","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Quadrant I","correct":true},{"content":"Quadrant 2","correct":false},{"content":"Quadrant 3","correct":false},{"content":"Quadrant 4","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[-1,-1],[-1,2],[-5,0],[-5,-3]],"hasBeenInteractedWith":true,"numSides":4,"range":[[-8,12],[-10,10]],"showAngles":false,"showSides":false,"snapStep":[0.5,0.5],"snapTo":"grid","type":"polygon"},"graph":{"coords":null,"hasBeenInteractedWith":false,"numSides":4,"range":[[-8,12],[-10,10]],"showAngles":false,"showSides":false,"snapStep":[0.5,0.5],"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"red","kind":"line","lineStyle":"dashed","points":[{"color":"red","coord":[2,0],"filled":true,"type":"point"},{"color":"red","coord":[2,2],"filled":false,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"blue","fillStyle":"none","points":[[-5,0],[-1,2],[-1,-1],[-5,-3]],"showVertices":false,"strokeStyle":"solid","type":"polygon"}],"markings":"graph","range":[[-8,12],[-10,10]],"showProtractor":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":true,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,-1]],"hasBeenInteractedWith":true,"numPoints":0,"range":[[-8,12],[-10,10]],"snapStep":[0.5,0.5],"type":"point"},"graph":{"numPoints":0,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"red","kind":"line","lineStyle":"dashed","points":[{"color":"red","coord":[2,0],"filled":true,"type":"point"},{"color":"red","coord":[2,2],"filled":false,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"blue","fillStyle":"none","points":[[-5,0],[-1,2],[-1,-1],[-5,-3]],"showVertices":false,"strokeStyle":"solid","type":"polygon"}],"markings":"graph","range":[[-8,12],[-10,10]],"showProtractor":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":true,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/4e/8eff6433ee5d.json b/data/questions/3f/4e/8eff6433ee5d.json new file mode 100644 index 0000000000..26d2d7cfe0 --- /dev/null +++ b/data/questions/3f/4e/8eff6433ee5d.json @@ -0,0 +1 @@ +{"content":"[Q1] Graph the equation $y=x+1$.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,1],[2,3]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/5a/d45729b4deb9.json b/data/questions/3f/5a/d45729b4deb9.json new file mode 100644 index 0000000000..e2bd8b1255 --- /dev/null +++ b/data/questions/3f/5a/d45729b4deb9.json @@ -0,0 +1 @@ +{"content":"crwdns3462889:0$fcrwdne3462889:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,0],[-5,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3359279:0crwdne3359279:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/5e/5ae61fe28cef.json b/data/questions/3f/5e/5ae61fe28cef.json new file mode 100644 index 0000000000..6769f6d097 --- /dev/null +++ b/data/questions/3f/5e/5ae61fe28cef.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(2,9)$, $(2,0)$, $(0,0)$, and $(0,9)$.\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the length of the shorter side of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[2,0],[0,9],[2,9]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/67/642faf2d91de.json b/data/questions/3f/67/642faf2d91de.json new file mode 100644 index 0000000000..d6e4bcac34 --- /dev/null +++ b/data/questions/3f/67/642faf2d91de.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{3}{4}x-2\n\\\\\\\\\ny=\\dfrac{5}{2}x+5\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"lockedFigures":[],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"coords":[[[0,5],[-2,0]],[[4,1],[0,-2]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/7e/2a5fc830d693.json b/data/questions/3f/7e/2a5fc830d693.json new file mode 100644 index 0000000000..f637fa6579 --- /dev/null +++ b/data/questions/3f/7e/2a5fc830d693.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(1,5)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,5]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/85/e9bdb8be1e36.json b/data/questions/3f/85/e9bdb8be1e36.json new file mode 100644 index 0000000000..7fe1044cc6 --- /dev/null +++ b/data/questions/3f/85/e9bdb8be1e36.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=5x^2+30x+40$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-3,-5],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-4}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/8f/f225fc1ff5a7.json b/data/questions/3f/8f/f225fc1ff5a7.json new file mode 100644 index 0000000000..eaffc1d6c0 --- /dev/null +++ b/data/questions/3f/8f/f225fc1ff5a7.json @@ -0,0 +1 @@ +{"content":"crwdns4075265:0$hcrwdnd4075265:0{2}crwdnd4075265:0{3}crwdne4075265:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,6],[0,9]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/90/9e3044ae2007.json b/data/questions/3f/90/9e3044ae2007.json new file mode 100644 index 0000000000..d31daa8fe1 --- /dev/null +++ b/data/questions/3f/90/9e3044ae2007.json @@ -0,0 +1 @@ +{"content":"Vectors $\\vec{a}$ and $\\vec{b}$ are drawn in the interactive graph below. \n \n**Click to graph the terminal point of the vector obtained by subtracting $\\vec{a}$ from $\\vec{b}$, whose initial point is the origin.** \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1c73f8dee431c59c796cb27976a2aa73402d2bab","width":400},"correct":{"coords":[[9,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/9d/24bb8683c2e2.json b/data/questions/3f/9d/24bb8683c2e2.json new file mode 100644 index 0000000000..106237c5b5 --- /dev/null +++ b/data/questions/3f/9d/24bb8683c2e2.json @@ -0,0 +1 @@ +{"content":"You built a water balloon launcher and can use it to launch $4$ balloons per minute. You have a bucket filled with $40$ filled water balloons. In the graph below, $m$ represents the minutes you have been launching water balloons, and $b$ represents the number of water balloons remaining in the bucket to be launched.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$b = 40-4m$\n\n**Plot points on the graph that show the number of water balloons remaining in the bucket if you have been launching balloons for $5$ minutes and $9$ minutes.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,20],[9,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\text{Minutes}","\\text{Balloons remaining}"],"markings":"graph","range":[[-1,10],[-1,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/a7/a373457ffbfd.json b/data/questions/3f/a7/a373457ffbfd.json new file mode 100644 index 0000000000..aaf90e69b7 --- /dev/null +++ b/data/questions/3f/a7/a373457ffbfd.json @@ -0,0 +1 @@ +{"content":"crwdns3897510:0crwdne3897510:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9accfb93d8f5a2c86387841a2a938dddfa6aeda6","width":425},"box":[288,288],"correct":{"coords":[[0,-3],[4,-3],[-7,-7]],"numPoints":"unlimited","type":"point"},"editableSettings":["graph","snap","image","measure"],"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/a9/5baf63ef104f.json b/data/questions/3f/a9/5baf63ef104f.json new file mode 100644 index 0000000000..c5d67dfd4a --- /dev/null +++ b/data/questions/3f/a9/5baf63ef104f.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube of side length $6$. \n\n![cube vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the cube.** \n\nAssume the slice is parallel to one of the faces of the cube.\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png":{"height":397,"width":304}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.5,1.5],[7.5,7.5],[1.5,7.5],[1.5,1.5]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[0,10],[0,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/ae/9afde40c1f21.json b/data/questions/3f/ae/9afde40c1f21.json new file mode 100644 index 0000000000..6c76c08ec8 --- /dev/null +++ b/data/questions/3f/ae/9afde40c1f21.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{8}x^2+x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[4,-2],[0,-4]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/b7/896f89f6d3e6.json b/data/questions/3f/b7/896f89f6d3e6.json new file mode 100644 index 0000000000..a13d83ecc6 --- /dev/null +++ b/data/questions/3f/b7/896f89f6d3e6.json @@ -0,0 +1 @@ +{"content":"crwdns4128060:0$A$crwdnd4128060:0$P$crwdnd4128060:0$4$crwdne4128060:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e20ecc9ed54fb40c91748aacbb4436b5297f1c5","width":400},"correct":{"coords":[[0,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/c1/260f19a84882.json b/data/questions/3f/c1/260f19a84882.json new file mode 100644 index 0000000000..36772d96ee --- /dev/null +++ b/data/questions/3f/c1/260f19a84882.json @@ -0,0 +1 @@ +{"content":"crwdns4128068:0$D$crwdnd4128068:0$P$crwdnd4128068:0{1}crwdnd4128068:0{3}crwdne4128068:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/81a2a3c4b1514ed8dee7ffa0bcd151f5b4748e77","width":400},"correct":{"coords":[[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/c3/ef4e0c5d8f98.json b/data/questions/3f/c3/ef4e0c5d8f98.json new file mode 100644 index 0000000000..ca721c3035 --- /dev/null +++ b/data/questions/3f/c3/ef4e0c5d8f98.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}2 & 0 \\\\ -2 & 0\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}-1 \\\\ 1\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8730e9bfa866229fa4c1305eb2da86b032e99034","width":425},"correct":{"coords":[[[0,0],[-2,2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/cd/5020d0fcf7ac.json b/data/questions/3f/cd/5020d0fcf7ac.json new file mode 100644 index 0000000000..31550454f3 --- /dev/null +++ b/data/questions/3f/cd/5020d0fcf7ac.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$3$|$6$|$9$|$12$\n$y$|$0$|$0.5$|$1.0$|$1.5$|$2.0$\n\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.16666666666666666},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[6,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/dd/ce568e51d765.json b/data/questions/3f/dd/ce568e51d765.json new file mode 100644 index 0000000000..62161802d8 --- /dev/null +++ b/data/questions/3f/dd/ce568e51d765.json @@ -0,0 +1 @@ +{"content":"crwdns2972204:0crwdne2972204:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/636076241f8b1b11de6fdc6785496fccc9d44461.png","width":400},"correct":{"coords":[[-1.75,2.5],[5.5,2.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/e3/97e7d9a2fd7e.json b/data/questions/3f/e3/97e7d9a2fd7e.json new file mode 100644 index 0000000000..e91f588c3e --- /dev/null +++ b/data/questions/3f/e3/97e7d9a2fd7e.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a reflection across the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/48a4f7d258d34b65626e17c807062914a87f8a3d","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-3,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/e5/70f6fad9f3b8.json b/data/questions/3f/e5/70f6fad9f3b8.json new file mode 100644 index 0000000000..cbe37ba72c --- /dev/null +++ b/data/questions/3f/e5/70f6fad9f3b8.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(-8,-4)$ and $(-3,8)$, and a base $10$ units long that is parallel to the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,-4],[-3,8],[2,-4]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/f1/8e70fecb31e5.json b/data/questions/3f/f1/8e70fecb31e5.json new file mode 100644 index 0000000000..220f357769 --- /dev/null +++ b/data/questions/3f/f1/8e70fecb31e5.json @@ -0,0 +1 @@ +{"content":"**Construct a $55^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6731ea2cba299721285a1824357747498d08c733.png":{"height":303,"width":368},"https://ka-perseus-images.s3.amazonaws.com/676a5fb254816665fe3cc73f46af8a10085cc533.png":{"height":306,"width":223}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3.020934767499292,-1.3891579127651452],[8,-8.5],[0.46947617272296593,-8.499999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/f4/84153a0c7820.json b/data/questions/3f/f4/84153a0c7820.json new file mode 100644 index 0000000000..be10c7ae80 --- /dev/null +++ b/data/questions/3f/f4/84153a0c7820.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $3$, $4$, and $5$.** \n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3.5,2],[3.5,5],[-0.5,2]],"match":"congruent","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[0.5,0.5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/f5/1c283712c3e4.json b/data/questions/3f/f5/1c283712c3e4.json new file mode 100644 index 0000000000..fc5b8a0431 --- /dev/null +++ b/data/questions/3f/f5/1c283712c3e4.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle ABC$ after the rotation $R_{90^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5abab5dcef96044dfdfd039247e3ad6aa6623cc4.png","width":425},"correct":{"coords":[[-3,7],[-3,2],[-7,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/3f/fa/e5f74e463183.json b/data/questions/3f/fa/e5f74e463183.json new file mode 100644 index 0000000000..e6f86bcf19 --- /dev/null +++ b/data/questions/3f/fa/e5f74e463183.json @@ -0,0 +1 @@ +{"content":"crwdns3019934:0$10$crwdnd3019934:0$y$crwdne3019934:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[-8,0],[0,-5]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/3f/fe/48b441a33b06.json b/data/questions/3f/fe/48b441a33b06.json new file mode 100644 index 0000000000..ca9d982d6e --- /dev/null +++ b/data/questions/3f/fe/48b441a33b06.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{y^2}{81}-\\dfrac{x^2}{144}=1$**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/659196f705c67529019904f553031c4213b9db25","width":425},"correct":{"coords":[[0,15],[0,-15]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[3,3],"labels":["□","□"],"markings":"none","range":[[-21,21],[-21,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1.5,1.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/05/0ccfc428c3f4.json b/data/questions/40/05/0ccfc428c3f4.json new file mode 100644 index 0000000000..cec40293b6 --- /dev/null +++ b/data/questions/40/05/0ccfc428c3f4.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $10$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,-2],[1,3],[-1,3],[-1,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/0a/fb894d108a7d.json b/data/questions/40/0a/fb894d108a7d.json new file mode 100644 index 0000000000..894dc49994 --- /dev/null +++ b/data/questions/40/0a/fb894d108a7d.json @@ -0,0 +1 @@ +{"content":"Four test drivers collected data about a certain car. The points show speed and the stopping distance of the $4$ drivers. \n \nThe fifth driver, Matthew, was driving $15$ kilometers per hour slower than Angela was. Matthew's stopping distance was $5$ meters less than Angela's stopping distance.\n\n**Plot Matthew's point on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b4f52acf539fe22cf7b4478a6b52c57f5e95fb6","width":400},"correct":{"coords":[[35,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-15,105],[-6,44]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,1],"step":[20,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/28/c201b16e1d49.json b/data/questions/40/28/c201b16e1d49.json new file mode 100644 index 0000000000..e4239cafb1 --- /dev/null +++ b/data/questions/40/28/c201b16e1d49.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(0,5)$ and $(-8,0)$, and a side measuring $10$ units on the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[-8,0],[0,-5]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/30/9a0f68ab1912.json b/data/questions/40/30/9a0f68ab1912.json new file mode 100644 index 0000000000..ebd5fb2e0b --- /dev/null +++ b/data/questions/40/30/9a0f68ab1912.json @@ -0,0 +1 @@ +{"content":"Swimmers competed for medals in different events at the $2012$ Summer Olympics in London. The table below shows how many gold and silver medals were won by a sample of nations. \n \n**Plot the data in a scatter plot.** \n \n| USA | China | France | Netherlands | Australia\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Gold** | $16$ | $5$ | $4$ | $2$ | $1$\n**Silver** | $9$ | $2$ | $2$ | $1$ | $6$\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,6],[4,2],[5,2],[16,9],[2,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Gold}$","$\\text{Silver}$"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/35/f4709d3c4aaf.json b/data/questions/40/35/f4709d3c4aaf.json new file mode 100644 index 0000000000..97e2d3d22e --- /dev/null +++ b/data/questions/40/35/f4709d3c4aaf.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-8,7)$ and $(5,7)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,7],[5,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,1],[1,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/44/adf51889e77d.json b/data/questions/40/44/adf51889e77d.json new file mode 100644 index 0000000000..c58094fe0d --- /dev/null +++ b/data/questions/40/44/adf51889e77d.json @@ -0,0 +1 @@ +{"content":"[[☃ categorizer 1]]\n\n[[☃ dropdown 1]][[☃ explanation 1]]\n\n[[☃ expression 1]]\n\n[[☃ grapher 1]]\n\n[[☃ image 1]]\n\n[[☃ interaction 1]]\n\n[[☃ interactive-graph 1]]\n\n[[☃ matrix 1]]\n\n[[☃ measurer 1]]\n\n[[☃ radio 1]]\n\n[[☃ number-line 1]]\n\n[[☃ orderer 1]]\n\n[[☃ plotter 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1":{"alignment":"block","graded":true,"options":{"location":"","static":false},"static":false,"type":"video","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/44/d4587f845c8e.json b/data/questions/40/44/d4587f845c8e.json new file mode 100644 index 0000000000..5d28102801 --- /dev/null +++ b/data/questions/40/44/d4587f845c8e.json @@ -0,0 +1 @@ +{"content":"crwdns2972207:0crwdne2972207:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f63ceb348f447318484b079be697d96c9b7f112e.png","width":400},"correct":{"coords":[[-6,-6],[7,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/48/3d861663df38.json b/data/questions/40/48/3d861663df38.json new file mode 100644 index 0000000000..4cb65d51f2 --- /dev/null +++ b/data/questions/40/48/3d861663df38.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}-1 & 4 \\\\ 5 & 2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}= \\left[\\begin{array}{r}1 \\\\ 2\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/909a727e2a541bf8b722deaadad074c7f258ca24","width":400},"correct":{"coords":[[-6,-3]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/5e/4ad8043f4061.json b/data/questions/40/5e/4ad8043f4061.json new file mode 100644 index 0000000000..e877916b41 --- /dev/null +++ b/data/questions/40/5e/4ad8043f4061.json @@ -0,0 +1 @@ +{"content":"crwdns6970276:0$zcrwdnd6970276:0{17}crwdnd6970276:0$z$crwdne6970276:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[-1,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/62/3ff1f5776f0d.json b/data/questions/40/62/3ff1f5776f0d.json new file mode 100644 index 0000000000..6d1a45980c --- /dev/null +++ b/data/questions/40/62/3ff1f5776f0d.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-3)$ and has a slope of $-2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-4,-5],[-5,-3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/69/2e8632d0dbe4.json b/data/questions/40/69/2e8632d0dbe4.json new file mode 100644 index 0000000000..0da4cfc7d3 --- /dev/null +++ b/data/questions/40/69/2e8632d0dbe4.json @@ -0,0 +1 @@ +{"content":"Consider the following equations (named $R_1$, $R_2$, and $R_3$):\n\n$R_1$$~~~\\rightarrow~~~$$ x + y = 5\\\\$ \n$R_2$$~~~\\rightarrow~~~$$ x - y = 1\\\\$ \n$R_3\n~~~\\rightarrow~~~\n\\begin{align}\\underline{\\begin{align}R_1\\\\+2\\cdot R_2\\end{align}} \\\\\\\\\\\\\\\\ \\end{align}\n~~~\\rightarrow~~~\n~~~\\rightarrow~~~\n$\n\n$\n{\\begin{align} \\underline{\\begin{align} x+y=5 \\\\ 2(x-y)=2(1) \\end{align}} \\\\\\\\\\\\\\\\ \\end{align}}$\n\n**Graph $R_3$.**\n\n[[☃ interactive-graph 1]]\n\n**Do all three lines intersect at the same point?**\n\n[[☃ radio 1]]\n\n**Consider a new equation $(R_4)$ that we get by adding $R_2$ with $3$ times $R_3$. Will $R_1$, $R_2$, and $R_3$ intersect at a single point?**","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/74/0777b87cbd47.json b/data/questions/40/74/0777b87cbd47.json new file mode 100644 index 0000000000..ec5a3fd405 --- /dev/null +++ b/data/questions/40/74/0777b87cbd47.json @@ -0,0 +1 @@ +{"content":"Graph the following system of inequalities:\n\n$\\qquad 6x+2y<12$\n\n$\\qquad y > -3x+6$\n\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side buttons for both inequalities* \n\n*Solid/dashed line buttons for both inequalities*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(3,-3)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"height":425,"width":425}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1],[0,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"What's the solution set of the system?","content":"Yes","correct":false},{"content":"No","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/40/7b/3bff251db58f.json b/data/questions/40/7b/3bff251db58f.json new file mode 100644 index 0000000000..6340906942 --- /dev/null +++ b/data/questions/40/7b/3bff251db58f.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=2(x-4)^2+5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,5],[5,7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/84/c9d2df6999af.json b/data/questions/40/84/c9d2df6999af.json new file mode 100644 index 0000000000..02dc596bed --- /dev/null +++ b/data/questions/40/84/c9d2df6999af.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $2$, Rule: add $3$\n\nPattern $y$: Starting number: $2$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$2$ | $2$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,2],[5,5],[8,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/86/f71ee3a8e126.json b/data/questions/40/86/f71ee3a8e126.json new file mode 100644 index 0000000000..307bf3ffb4 --- /dev/null +++ b/data/questions/40/86/f71ee3a8e126.json @@ -0,0 +1 @@ +{"content":"crwdns2988140:0crwdne2988140:0","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/8d/a6887e084fcf.json b/data/questions/40/8d/a6887e084fcf.json new file mode 100644 index 0000000000..be70db489b --- /dev/null +++ b/data/questions/40/8d/a6887e084fcf.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f\\left(-2x \\right)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"up","correct":false},{"content":"down","correct":true}],"placeholder":"up/down","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"right","correct":true},{"content":"left","correct":false}],"placeholder":"right/left","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[3,-6],[-2,4]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[4,4],"filled":true,"type":"point"},{"color":"grayH","coord":[-6,-6],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false,"isNoneOfTheAbove":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/40/94/58779ddd648e.json b/data/questions/40/94/58779ddd648e.json new file mode 100644 index 0000000000..599ae4a92b --- /dev/null +++ b/data/questions/40/94/58779ddd648e.json @@ -0,0 +1 @@ +{"content":"Here is the graph of a quadratic function $f$.\n\n[[☃ image 1]]\n\n**Write the equation that defines $f$ in standard form.**\n\n$f(x)=$ [[☃ expression 1]] ","images":{},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"quadratic"},"valid":true,"correct":{"type":"quadratic"}},"type":"interactive-graph","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"interactive-graph 2":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a34f9b82dfb9fb1daa438a3abba2e079500b24f","width":265,"height":265},"labels":[],"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 80 to 80. The quadratic function is concave down, has x intercepts at (negative 5, 0) and (4, 0), and an f of x intercept at (0, 40).","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"expression 1":{"options":{"answerForms":[{"value":"-2x^{2}-2x+40","form":true,"simplify":false,"considered":"correct","key":0}],"times":false,"buttonSets":["basic","prealgebra"],"functions":["f","g","h"],"static":false},"type":"expression","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/40/b4/ce3da9acd165.json b/data/questions/40/b4/ce3da9acd165.json new file mode 100644 index 0000000000..8ef7a20136 --- /dev/null +++ b/data/questions/40/b4/ce3da9acd165.json @@ -0,0 +1 @@ +{"content":"crwdns4070164:0$fcrwdne4070164:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[4,-1],[5,6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/bb/49c4beb02a56.json b/data/questions/40/bb/49c4beb02a56.json new file mode 100644 index 0000000000..16f2868f0f --- /dev/null +++ b/data/questions/40/bb/49c4beb02a56.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dd2a53cbdf9f36a303e5911bcb959ebfa327d33","width":400},"correct":{"coords":[[-6,3],[5,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/c9/e5c5338008ae.json b/data/questions/40/c9/e5c5338008ae.json new file mode 100644 index 0000000000..b9989a634a --- /dev/null +++ b/data/questions/40/c9/e5c5338008ae.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a4486d1fd68c9daf5efe89f9dec3c91e677155cf","width":425},"correct":{"coords":[[0,-3],[-4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/d0/c56afa7bb0e5.json b/data/questions/40/d0/c56afa7bb0e5.json new file mode 100644 index 0000000000..1e533c46f2 --- /dev/null +++ b/data/questions/40/d0/c56afa7bb0e5.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y-1)^2=81$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[1,1],"radius":9}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/d2/e72ee5307c53.json b/data/questions/40/d2/e72ee5307c53.json new file mode 100644 index 0000000000..81db43bfbe --- /dev/null +++ b/data/questions/40/d2/e72ee5307c53.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $4$, Rule: add $2$\n\nPattern $y$: Starting number: $2$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$4$ | $2$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[4,2],[6,3],[8,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/d4/6a68abb30726.json b/data/questions/40/d4/6a68abb30726.json new file mode 100644 index 0000000000..ae0217de2f --- /dev/null +++ b/data/questions/40/d4/6a68abb30726.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $3$, नियम: $4$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $3$, नियम: $4$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,3],[7,7],[11,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["3","3"],["7","7"],["11","11"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/d9/cfb3777914ee.json b/data/questions/40/d9/cfb3777914ee.json new file mode 100644 index 0000000000..922819f9cd --- /dev/null +++ b/data/questions/40/d9/cfb3777914ee.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $5$ units left and $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6fbd044e38c77da0fc2fd8b1bbe54561010527","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[-3,1],[-1,6],[-6,2]],"snapTo":"grid"},"box":[288,288],"valid":true,"editableSettings":["graph","snap","image","measure"]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/e4/825676ccd94a.json b/data/questions/40/e4/825676ccd94a.json new file mode 100644 index 0000000000..dce1334dbd --- /dev/null +++ b/data/questions/40/e4/825676ccd94a.json @@ -0,0 +1 @@ +{"content":"Last year, Charles earned $50$ points in the Wellness Competition at work. This year, his goal is to at least double his point total from last year. Charles earns $5$ points for each mile he runs and $2$ points for each mile he bikes.\n\n**Write an *inequality* that represents the number of miles Charles needs to run $(R)$ and bike $(B)$ to achieve his point goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $R$ on the horizontal axis and $B$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Charles runs $12$ miles $(R)$, which of the following numbers of miles can he bike $(B)$ to meet or exceed the point goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"5R+2B>=100"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"5r+2b\\ge100"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,50],[20,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["R","B"],"markings":"graph","range":[[-5,30],[-5,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,10]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$20$","correct":true},{"content":"$22$","correct":true},{"content":"$25$","correct":true},{"content":"$27$","correct":true},{"content":"$30$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/40/e6/e2ef9ed39800.json b/data/questions/40/e6/e2ef9ed39800.json new file mode 100644 index 0000000000..dbe7305cbe --- /dev/null +++ b/data/questions/40/e6/e2ef9ed39800.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x+2)(2x+7)(x-1)(x-3)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-2,0],[-3.5,0],[1,0],[3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/0c/58a58012b4f7.json b/data/questions/41/0c/58a58012b4f7.json new file mode 100644 index 0000000000..8fbeac3a04 --- /dev/null +++ b/data/questions/41/0c/58a58012b4f7.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(-6, -4\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[-6,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/0c/5d397c9f01d2.json b/data/questions/41/0c/5d397c9f01d2.json new file mode 100644 index 0000000000..80c6c795ab --- /dev/null +++ b/data/questions/41/0c/5d397c9f01d2.json @@ -0,0 +1 @@ +{"content":"crwdns3508059:0$A$crwdnd3508059:0$y$crwdne3508059:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/efd7eae128d19f3c41b88ac2ee2daba87a0c63ed","width":400},"correct":{"coords":[[6,3]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/1a/b9db7efa58c6.json b/data/questions/41/1a/b9db7efa58c6.json new file mode 100644 index 0000000000..d51fad919d --- /dev/null +++ b/data/questions/41/1a/b9db7efa58c6.json @@ -0,0 +1 @@ +{"content":"Bridget is excited to compete in a $10$-mile race. The race organizers plotted the course on a coordinate map. The starting point is at $(4,1)$, and the ending point is at $(4,11)$. Bridget's family decides to stand at $(4,4)$ on the map. \n\n\n**Plot the starting point, ending point, and place where Bridget's family stands on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Bridget be in the race when she reaches her family?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":"1","bottom":"4","left":"0","width":0,"height":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,12],[-1,12]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[4,1],[4,4],[4,11]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Less than halfway through the race","correct":true},{"content":"Halfway through the race"},{"content":"More than halfway through the race"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/41/1f/4c3f37ea5f36.json b/data/questions/41/1f/4c3f37ea5f36.json new file mode 100644 index 0000000000..77d0217f29 --- /dev/null +++ b/data/questions/41/1f/4c3f37ea5f36.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d4dff26cffc1c0a1b8791045be39caf17b649328","width":430},"correct":{"coords":[[3,6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/26/7bf2eae5dacf.json b/data/questions/41/26/7bf2eae5dacf.json new file mode 100644 index 0000000000..e123441ae8 --- /dev/null +++ b/data/questions/41/26/7bf2eae5dacf.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x -6,y -7)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/98ba2b12f41548864f06d7baf26135a882752fa4","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[1,-7],[-2,-3],[-4,-5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/2c/17166b8f7d1d.json b/data/questions/41/2c/17166b8f7d1d.json new file mode 100644 index 0000000000..cfae3caf3b --- /dev/null +++ b/data/questions/41/2c/17166b8f7d1d.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=2(x-4)^2+5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,5],[5,7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/35/e0cf8f8be57d.json b/data/questions/41/35/e0cf8f8be57d.json new file mode 100644 index 0000000000..594cf04f82 --- /dev/null +++ b/data/questions/41/35/e0cf8f8be57d.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $3$.**\n \n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b736520684b73f6574e3628ea109d0774df59456":{"height":152,"width":320}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f13715756be7e317009f2c22196703e973384976","width":400},"correct":{"coords":[[6,-4],[-6,5],[-6,-4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/4c/146dd91fc7ce.json b/data/questions/41/4c/146dd91fc7ce.json new file mode 100644 index 0000000000..81aafc8974 --- /dev/null +++ b/data/questions/41/4c/146dd91fc7ce.json @@ -0,0 +1 @@ +{"content":"[Q3] Consider the following trigonometric function:\n\n$\\qquad g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$\n\n**Graph $g(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[2,4],[5,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/4d/d8d3a3e96100.json b/data/questions/41/4d/d8d3a3e96100.json new file mode 100644 index 0000000000..cf3cd8d810 --- /dev/null +++ b/data/questions/41/4d/d8d3a3e96100.json @@ -0,0 +1 @@ +{"content":"**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n$R=\\left[\\begin{array} {ccc}\n-1 & 1 \\\\\n-1 & -1 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/811740f2457b0b18982a29944b4c775fd53f92e4","width":425},"correct":{"coords":[[3,-3],[3,5],[8,0]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/66/1b3613aa9e6c.json b/data/questions/41/66/1b3613aa9e6c.json new file mode 100644 index 0000000000..aedb5fc160 --- /dev/null +++ b/data/questions/41/66/1b3613aa9e6c.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a trapezoid with right angles at $(-6,6)$ and $(-6,-2)$, another vertex at $(2,-2)$, and a side $10$ units long that is parallel to the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-2],[2,-2],[4,6],[-6,6]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/66/33ca7d81e4cd.json b/data/questions/41/66/33ca7d81e4cd.json new file mode 100644 index 0000000000..54a1e61c58 --- /dev/null +++ b/data/questions/41/66/33ca7d81e4cd.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x -12y +76=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[7,6],"radius":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/67/f06ab50c0092.json b/data/questions/41/67/f06ab50c0092.json new file mode 100644 index 0000000000..eee09e4081 --- /dev/null +++ b/data/questions/41/67/f06ab50c0092.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/342d1c43bdbb8187376732832d5f2a7bef08bb03","width":425},"correct":{"coords":[[0,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/70/7ede876641e4.json b/data/questions/41/70/7ede876641e4.json new file mode 100644 index 0000000000..03607e4d9f --- /dev/null +++ b/data/questions/41/70/7ede876641e4.json @@ -0,0 +1 @@ +{"content":"**Use the \"Reflect\" tool to find the image of $\\triangle{XYZ}$ for a reflection over the line $y=-x-4$.** \n\n\n[[☃ transformer 2]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2ea6fabb7129492fcf2d772e21d18950a71d17d2.png","width":425},"correct":{"coords":[[5,-3],[-2,0],[-8,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"transformer 1":{"graded":true,"options":{"correct":{"shape":{"coords":[[4,2],[5,-3],[9,5]],"options":[{}],"type":["polygon-3"]},"transformations":[{"line":[[-1.5,-1.5],[1.5,1.5]],"type":"reflection"}]},"drawSolutionShape":false,"gradeEmpty":false,"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5f12fa9b495ef77f4fd0dabee18cd50ad1c29174","width":400},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"static","starting":{"shape":{"coords":[[2,4],[-3,5],[5,9]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":false,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[-5.999999999999999,-1.5],[-6,2.4999999999999987]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":false,"required":false},"translation":{"constraints":{},"enabled":false,"required":false}},"version":1.2},"type":"transformer","version":{"major":0,"minor":0}},"transformer 2":{"graded":true,"options":{"correct":{"shape":{"coords":[[-3,-3],[-9,-3],[-3,-7]],"options":[{}],"type":["polygon-3"]},"transformations":[{"line":[[1.5,-5.5],[-1.5,-2.5]],"type":"reflection"}]},"drawSolutionShape":false,"gradeEmpty":false,"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3bb6d38df78e846f7e3786af2ed0305730f29e65","width":400},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"static","starting":{"shape":{"coords":[[-1,-1],[-1,5],[3,-1]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":false,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[8.000000000000002,-5.499999999999998],[8.000000000000002,-1.5000000000000018]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":false,"required":false},"translation":{"constraints":{},"enabled":false,"required":false}},"version":1.2},"type":"transformer","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/77/fd298e0e2e9e.json b/data/questions/41/77/fd298e0e2e9e.json new file mode 100644 index 0000000000..6aa81f77fa --- /dev/null +++ b/data/questions/41/77/fd298e0e2e9e.json @@ -0,0 +1 @@ +{"content":"Elizabeth made a scale drawing of her school's basketball court before devising a winning strategy for her team. The dimensions of the court are $15\\text{ m}$ by $27\\text{ m}$.\n\n**Move points to recreate Elizabeth's drawing on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/807ecd95e210c8d274ecaed55b346e8d7e361d11.png","width":400},"correct":{"coords":[[-2,-2],[-2,7],[-7,7],[-7,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/7d/65ab0a779952.json b/data/questions/41/7d/65ab0a779952.json new file mode 100644 index 0000000000..43c5c7f4e3 --- /dev/null +++ b/data/questions/41/7d/65ab0a779952.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (5, 5.5), (6.5, 0), (0, -4.5), (−5, -3.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5,5.5],[6.5,0],[0,-4.5],[-5,-3.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/41/87/37f0428ef98c.json b/data/questions/41/87/37f0428ef98c.json new file mode 100644 index 0000000000..34ed671f6e --- /dev/null +++ b/data/questions/41/87/37f0428ef98c.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-:|-:|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$3$|$1$|$2$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":false},{"content":"crwdns2731610:0crwdne2731610:0","correct":false},{"content":"crwdns2731612:0crwdne2731612:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 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b/data/questions/41/f0/638f94118754.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac13$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37365d2280c6e7f7e98a3ed34ea9cbcab496022e","width":425},"correct":{"coords":[[1,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/f4/4bd09ec3b132.json b/data/questions/41/f4/4bd09ec3b132.json new file mode 100644 index 0000000000..7e053fef8f --- /dev/null +++ b/data/questions/41/f4/4bd09ec3b132.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $y$-axis.**\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bcd21aad61b9b349519178485f0bef367ae8d67","width":400},"correct":{"coords":[[-3,-8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/41/f7/6139fd2da944.json b/data/questions/41/f7/6139fd2da944.json new file mode 100644 index 0000000000..ecd3090543 --- /dev/null +++ b/data/questions/41/f7/6139fd2da944.json @@ -0,0 +1 @@ +{"content":"**Use the line segments to connect all possible pairs of the points $\\text{A}$, $\\text{B}$, and $\\text{C}$. Then complete the statement below. **\n[[☃ interactive-graph 1]]\n\nThese are line segments because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/56998995932a4812e8463309881de22ce9688394.png","width":400},"box":[340,340],"correct":{"coords":[[[7,7],[4,-6]],[[-8,4],[7,7]],[[-8,4],[4,-6]]],"numSegments":3,"type":"segment"},"editableSettings":["graph","snap","image","measure"],"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/03/4aae82ce51f1.json b/data/questions/42/03/4aae82ce51f1.json new file mode 100644 index 0000000000..be99f90399 --- /dev/null +++ b/data/questions/42/03/4aae82ce51f1.json @@ -0,0 +1 @@ +{"content":"crwdns3382835:0$6$crwdnd3382835:0$5$crwdne3382835:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dc8e1065a081935e55a31674bb9b26aea71671ca","width":400},"correct":{"coords":[[4,9],[10,4],[4,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,12],[-2,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/0d/331b916e073d.json b/data/questions/42/0d/331b916e073d.json new file mode 100644 index 0000000000..b8a99e4e67 --- /dev/null +++ b/data/questions/42/0d/331b916e073d.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $g(x)=0$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8c9391d64b51897be506061fb7b989e8efca632f","width":400},"correct":{"coords":[[1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/10/e77bd45a7799.json b/data/questions/42/10/e77bd45a7799.json new file mode 100644 index 0000000000..3f518a2003 --- /dev/null +++ b/data/questions/42/10/e77bd45a7799.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{B}$ and goes through point $\\text{A}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/0c87ba209904429b2dfaa88979dc4243fb25f3a6.png","width":400},"correct":{"coords":[[0,8],[2,-5]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/14/38610e05e550.json b/data/questions/42/14/38610e05e550.json new file mode 100644 index 0000000000..6790528d65 --- /dev/null +++ b/data/questions/42/14/38610e05e550.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +8x -2y -19=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-4,1],"radius":6}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/17/2b267432f450.json b/data/questions/42/17/2b267432f450.json new file mode 100644 index 0000000000..da6251bbf2 --- /dev/null +++ b/data/questions/42/17/2b267432f450.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-\\dfrac{25}8$, $-3.5$, and $-4$.**\n\n[[☃ radio 1]]","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 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1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/a87b4f6901efac0538d60979f8191c318b388474)\n","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/85263a242396adfd7279d7d9477cdf720c1d3783)","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/887119176b4a99f6d9415245221709164a7503c3)","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/3f/39d84550182f.json b/data/questions/42/3f/39d84550182f.json new file mode 100644 index 0000000000..09307a8862 --- /dev/null +++ b/data/questions/42/3f/39d84550182f.json @@ -0,0 +1 @@ +{"content":"Korey is organizing a music concert. She plans to invest $\\$2000$ to rent the venue and to pay the musicians and then sell the tickets for $\\$20$ each. Graph $A$ below shows the profit $y$ she will make from the concert as a function of the number of tickets sold $x$.\n\n**Create a graph to show Korey's profit if she decides to invest only $\\$1200$ to rent the venue and pay the musicians.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/13b5bc07ec434fecdd417a0a5c992fcda5069531.png","width":425},"correct":{"coords":[[0,-1200],[60,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-20,150],[-2200,1800]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[20,400]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/4e/af59de0871cd.json b/data/questions/42/4e/af59de0871cd.json new file mode 100644 index 0000000000..cdabc8223f --- /dev/null +++ b/data/questions/42/4e/af59de0871cd.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map quadrilateral $SORT$ onto the other quadrilateral below.**\n\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/17b81dddd0ef5f94861d2bdf1e46109ed5bea87f","width":425},"correct":{"coords":[[-3,-6],[-3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a07dcae6562b32314ebcb312c465bd6f5096f67e","width":425},"correct":{"coords":[[0,-3],[6,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/769f1c610008c8158dee2d92efde7024e2ab5902","width":425},"correct":{"coords":[[0,-2],[3,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/6e/e3c5c32819b7.json b/data/questions/42/6e/e3c5c32819b7.json new file mode 100644 index 0000000000..6d058b873b --- /dev/null +++ b/data/questions/42/6e/e3c5c32819b7.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{6}{5}x+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,1],[5,7]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/70/f4b806858c8d.json b/data/questions/42/70/f4b806858c8d.json new file mode 100644 index 0000000000..ff6b8d04cc --- /dev/null +++ b/data/questions/42/70/f4b806858c8d.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{3}x-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-4],[3,-2]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/74/35c8be9e84df.json b/data/questions/42/74/35c8be9e84df.json new file mode 100644 index 0000000000..b8127e348e --- /dev/null +++ b/data/questions/42/74/35c8be9e84df.json @@ -0,0 +1 @@ +{"content":"crwdns2975595:0crwdne2975595:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,9],[-9,7],[-9,4],[-3,5],[-4,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/42/7f/c6149820bae6.json b/data/questions/42/7f/c6149820bae6.json new file mode 100644 index 0000000000..feaaabe2d0 --- /dev/null +++ b/data/questions/42/7f/c6149820bae6.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-4\\log_2(x-5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[5,-10],[5,10]],"coords":[[7,-4],[6,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/9a/81fdcfdb0dd2.json b/data/questions/42/9a/81fdcfdb0dd2.json new file mode 100644 index 0000000000..28804f4b1e --- /dev/null +++ b/data/questions/42/9a/81fdcfdb0dd2.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42d82e5f734e964a977bb1c3a4973a71d2c0205f","width":425},"correct":{"coords":[[-3,-6],[-2,-3],[-4,-2],[-5,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/9e/467717aec8d2.json b/data/questions/42/9e/467717aec8d2.json new file mode 100644 index 0000000000..b68be629ae --- /dev/null +++ b/data/questions/42/9e/467717aec8d2.json @@ -0,0 +1 @@ +{"content":"crwdns3898366:0$ycrwdnd3898366:0{4}crwdnd3898366:0{3}crwdne3898366:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,8],[3,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/aa/d701ff6bc9a9.json b/data/questions/42/aa/d701ff6bc9a9.json new file mode 100644 index 0000000000..d9e642fa4b --- /dev/null +++ b/data/questions/42/aa/d701ff6bc9a9.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-1\\cdot 2^{1-x}+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"exponential","asymptote":[[-10,6],[10,6]],"coords":[[0,4],[1,5]]},"availableTypes":["exponential"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/ac/461bc9be51d4.json b/data/questions/42/ac/461bc9be51d4.json new file mode 100644 index 0000000000..2fc6958e17 --- /dev/null +++ b/data/questions/42/ac/461bc9be51d4.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\dfrac{5}{3}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of \n$\\dfrac{5}{3}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=5/3x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,5],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/ad/eee9a8901aec.json b/data/questions/42/ad/eee9a8901aec.json new file mode 100644 index 0000000000..d130d6be86 --- /dev/null +++ b/data/questions/42/ad/eee9a8901aec.json @@ -0,0 +1 @@ +{"content":"crwdns3144076:0{OP}crwdne3144076:0","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/782236777816fea74794c3cd46ce4eac3dc07dba","width":425},"correct":{"coords":[[0,2],[1,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/ae/2b5487f5488d.json b/data/questions/42/ae/2b5487f5488d.json new file mode 100644 index 0000000000..b3018ead8d --- /dev/null +++ b/data/questions/42/ae/2b5487f5488d.json @@ -0,0 +1 @@ +{"content":"**Construct a $100^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1.4747929227018772,-0.6360337097799817],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/b5/441233e094a9.json b/data/questions/42/b5/441233e094a9.json new file mode 100644 index 0000000000..c477d2d100 --- /dev/null +++ b/data/questions/42/b5/441233e094a9.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $SAME$ is rotated $360^\\circ$ about the point $(-4,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd2d0d7c755ae57365f1a70886bfadd2c272088e","width":425},"correct":{"coords":[[-1,1],[2,4],[3,4],[2,-3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/ba/52a9f6ae2335.json b/data/questions/42/ba/52a9f6ae2335.json new file mode 100644 index 0000000000..7dffc5a401 --- /dev/null +++ b/data/questions/42/ba/52a9f6ae2335.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(2,0)$ and has a radius of $2.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,0],"radius":2.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/ce/c253290f6e6a.json b/data/questions/42/ce/c253290f6e6a.json new file mode 100644 index 0000000000..d7cd38510f --- /dev/null +++ b/data/questions/42/ce/c253290f6e6a.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-\\dfrac25$ that contains the point $(-3,5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[2,3],[-3,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/d5/b25ad8aa4750.json b/data/questions/42/d5/b25ad8aa4750.json new file mode 100644 index 0000000000..c1be88d5aa --- /dev/null +++ b/data/questions/42/d5/b25ad8aa4750.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin\\left(\\dfrac{\\pi}{2} x-\\pi\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[2,3],[3,8]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/d9/640ac0d336a9.json b/data/questions/42/d9/640ac0d336a9.json new file mode 100644 index 0000000000..de3f49c95b --- /dev/null +++ b/data/questions/42/d9/640ac0d336a9.json @@ -0,0 +1 @@ +{"content":"crwdns3362583:0$fcrwdnd3362583:0$gcrwdnd3362583:0$ycrwdnd3362583:0$ycrwdnd3362583:0$x_1$crwdnd3362583:0$x_2$crwdnd3362583:0$x_1crwdnd3362583:0$x_1$crwdnd3362583:0{0.5}crwdne3362583:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-3,0],[-4,1]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/83db5cf9dccade88c2520a9edb976c76efce5013","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.25],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-1.327},{"maxError":0.5,"message":"crwdns3882553:0crwdne3882553:0","simplify":"required","status":"wrong","strict":false,"value":-5.2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/df/42e451c191aa.json b/data/questions/42/df/42e451c191aa.json new file mode 100644 index 0000000000..ac320ebcd0 --- /dev/null +++ b/data/questions/42/df/42e451c191aa.json @@ -0,0 +1 @@ +{"content":"crwdns3019935:0$16$crwdne3019935:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-7],[8,-7],[8,0],[0,9]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/f1/ca442e0b0379.json b/data/questions/42/f1/ca442e0b0379.json new file mode 100644 index 0000000000..b8c9f24d34 --- /dev/null +++ b/data/questions/42/f1/ca442e0b0379.json @@ -0,0 +1 @@ +{"content":"Match the segment to the dotted segment in the background.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[3,8],[8,8]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"labels":["x","y"],"lockedFigures":[{"color":"green","coord":[-9,9],"filled":true,"type":"point"},{"color":"blue","kind":"segment","lineStyle":"dashed","points":[{"color":"blue","coord":[3,8],"filled":true,"type":"point"},{"color":"blue","coord":[8,8],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"angle":0,"center":[0,2],"color":"purple","fillStyle":"none","radius":[1,1],"strokeStyle":"solid","type":"ellipse"},{"color":"pink","points":[[-2,-2],[-4,-4]],"type":"vector"},{"color":"orange","fillStyle":"none","points":[[5,-3],[4,-5],[6,-5]],"showVertices":false,"strokeStyle":"solid","type":"polygon"}],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/f9/1e7231f2e41f.json b/data/questions/42/f9/1e7231f2e41f.json new file mode 100644 index 0000000000..ee573ff423 --- /dev/null +++ b/data/questions/42/f9/1e7231f2e41f.json @@ -0,0 +1 @@ +{"content":"**Construct a $75^\\circ$ angle.** \n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/42/ff/fe511f0fba30.json b/data/questions/42/ff/fe511f0fba30.json new file mode 100644 index 0000000000..aff20d301b --- /dev/null +++ b/data/questions/42/ff/fe511f0fba30.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $5$ units to the right.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5c496153513860da86fabcd3eb6a8ddfc2e43fa6","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[5,-5],[4,2],[-1,1],[-2,-2]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/02/19f42c547766.json b/data/questions/43/02/19f42c547766.json new file mode 100644 index 0000000000..9c1218e489 --- /dev/null +++ b/data/questions/43/02/19f42c547766.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1, 4)$, and the upper-right coordinates are $(3, 4)$. The rectangle has a perimeter of $24$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,-4],[3,4],[-1,4],[-1,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/2c/9d8a3aba9c24.json b/data/questions/43/2c/9d8a3aba9c24.json new file mode 100644 index 0000000000..935a9cdd44 --- /dev/null +++ b/data/questions/43/2c/9d8a3aba9c24.json @@ -0,0 +1 @@ +{"content":"crwdns3074211:0{A}crwdnd3074211:0{B}crwdnd3074211:0{C}crwdnd3074211:0{D}crwdne3074211:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":false},{"content":"crwdns2671927:0crwdne2671927:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":true},{"content":"crwdns2671923:0crwdne2671923:0","correct":false},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/b2c12dadd668b9c53ca81735e1d820fc7d453471.png","width":400},"correct":{"coords":[[[-6,6],[6,6]],[[-6,6],[6,-6]],[[-6,-6],[6,6]],[[-6,-6],[-6,6]],[[6,-6],[6,6]],[[-6,-6],[6,-6]]],"numSegments":6,"type":"segment"},"graph":{"numSegments":6,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/31/fa5552e381b1.json b/data/questions/43/31/fa5552e381b1.json new file mode 100644 index 0000000000..558395b285 --- /dev/null +++ b/data/questions/43/31/fa5552e381b1.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+10x+6y+18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,-3],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/33/1e45778ea717.json b/data/questions/43/33/1e45778ea717.json new file mode 100644 index 0000000000..ca488f297b --- /dev/null +++ b/data/questions/43/33/1e45778ea717.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=8x^2+16x+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-5],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/3d/a9eaf02a80a9.json b/data/questions/43/3d/a9eaf02a80a9.json new file mode 100644 index 0000000000..576e7fbd5e --- /dev/null +++ b/data/questions/43/3d/a9eaf02a80a9.json @@ -0,0 +1 @@ +{"content":"crwdns6646482:0$f$crwdnd6646482:0$f$crwdne6646482:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7ed3b60524f6ab5f7d3722be941fc93b0280606","width":400},"correct":{"coords":[[4,80]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,5],"labels":["crwdns6645742:0crwdne6645742:0","crwdns6645346:0crwdne6645346:0"],"markings":"none","range":[[-2,10],[-10,90]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/44/018bd324341c.json b/data/questions/43/44/018bd324341c.json new file mode 100644 index 0000000000..78799252af --- /dev/null +++ b/data/questions/43/44/018bd324341c.json @@ -0,0 +1 @@ +{"content":"crwdns3457938:0$xcrwdne3457938:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,-3],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/5b/86ad6eddbcce.json b/data/questions/43/5b/86ad6eddbcce.json new file mode 100644 index 0000000000..4590ce8430 --- /dev/null +++ b/data/questions/43/5b/86ad6eddbcce.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=3x^2+12x+5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-2,-7],[0,5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/6d/4cf29393adab.json b/data/questions/43/6d/4cf29393adab.json new file mode 100644 index 0000000000..963ab39afc --- /dev/null +++ b/data/questions/43/6d/4cf29393adab.json @@ -0,0 +1 @@ +{"content":"**Graph the best function in the world.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","sinusoid","exponential","quadratic","absolute_value","tangent","logarithm"],"correct":{"asymptote":null,"coords":[[-1.5,5],[3.5,2]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/7e/36c2f835295a.json b/data/questions/43/7e/36c2f835295a.json new file mode 100644 index 0000000000..218a58d859 --- /dev/null +++ b/data/questions/43/7e/36c2f835295a.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d5a8c57c9001d39f900e87d36034059e8879e","width":400},"correct":{"coords":[[4,-8],[8,-4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/81/ff5612b349a4.json b/data/questions/43/81/ff5612b349a4.json new file mode 100644 index 0000000000..48e58b3562 --- /dev/null +++ b/data/questions/43/81/ff5612b349a4.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec e$ and $\\vec f$:\n\n$\\begin{align}\n\\vec e&=(1,-3)\n\\\\\\\\\n\\vec f&=(6,-2)\n\\end{align}$\n\n*Answer two questions about the subtraction $\\vec e-\\vec f$.*\n\nPerforming the subtraction using the parallelogram rule, with $\\vec e$ and $-\\vec f$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the difference.**\n\n$\\vec e-\\vec f=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-3],[0,0],[-6,2],[-5,-1]],"snapTo":"grid"}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/82/3fd884a763e9.json b/data/questions/43/82/3fd884a763e9.json new file mode 100644 index 0000000000..178fa1b540 --- /dev/null +++ b/data/questions/43/82/3fd884a763e9.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(1.5,3)$ and has a radius of $0.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1.5,3],"radius":0.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/86/9f100b4b2791.json b/data/questions/43/86/9f100b4b2791.json new file mode 100644 index 0000000000..3f08efef9c --- /dev/null +++ b/data/questions/43/86/9f100b4b2791.json @@ -0,0 +1 @@ +{"content":"**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n$R=\\left[\\begin{array} {ccc}\n0 & -1.5 \\\\\n1.5 & 0 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f71a3674474fd2a991700d78a8a7a716c74d28e1","width":425},"correct":{"coords":[[-3,3],[-3,9],[-9,6]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/8d/25b23f8740ed.json b/data/questions/43/8d/25b23f8740ed.json new file mode 100644 index 0000000000..97ae21ff48 --- /dev/null +++ b/data/questions/43/8d/25b23f8740ed.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=8x^2+16x+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-5],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/8e/dee2afab4ac9.json b/data/questions/43/8e/dee2afab4ac9.json new file mode 100644 index 0000000000..b923fc82e6 --- /dev/null +++ b/data/questions/43/8e/dee2afab4ac9.json @@ -0,0 +1 @@ +{"content":"crwdns2838444:0$4$crwdnd2838444:0$ycrwdnd2838444:0{x}crwdnd2838444:0$4$crwdnd2838444:0$4$crwdnd2838444:0$ycrwdnd2838444:0{x}crwdne2838444:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/86d4028e34698417f5f325ef4062585be7f1733a.png","width":425},"correct":{"coords":[[0,1],[1,3],[2,9],[3,27]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,29],[-6,29]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/96/081c783d619d.json b/data/questions/43/96/081c783d619d.json new file mode 100644 index 0000000000..51fb182b61 --- /dev/null +++ b/data/questions/43/96/081c783d619d.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with a side of length $8$ in between two $45^\\circ$ angles.** \n \n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[9,1.5],[5,5.5],[1,1.5]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/9b/14b5beea5260.json b/data/questions/43/9b/14b5beea5260.json new file mode 100644 index 0000000000..cf893b6324 --- /dev/null +++ b/data/questions/43/9b/14b5beea5260.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e78d24697a3afa1fc3323d7cc0402f1e7fce91a1","width":425},"correct":{"coords":[[9,-6],[-9,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[3,3],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/9d/b98723d703e0.json b/data/questions/43/9d/b98723d703e0.json new file mode 100644 index 0000000000..3fef0cd760 --- /dev/null +++ b/data/questions/43/9d/b98723d703e0.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-3,2)$, and the upper-right coordinates are $(6, 2)$. The rectangle has a perimeter of $30$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[6,-4],[6,2],[-3,2],[-3,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/a1/25f18b0b423c.json b/data/questions/43/a1/25f18b0b423c.json new file mode 100644 index 0000000000..00fee45c44 --- /dev/null +++ b/data/questions/43/a1/25f18b0b423c.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a rhombus with an acute angle at $(0, 3)$, another vertex at $(3,7)$, side length of $5$ units, and two sides parallel to the $x$-axis.** \n\nDraw the rhombus in the first quadrant.\n\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7],[0,3],[5,3],[8,7]],"match":"exact","numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/a7/1268be57760a.json b/data/questions/43/a7/1268be57760a.json new file mode 100644 index 0000000000..a7af065087 --- /dev/null +++ b/data/questions/43/a7/1268be57760a.json @@ -0,0 +1 @@ +{"content":"आप एक देश से दूसरे देश यात्रा करने के लिए सबके लिए खुले सड़क राजमार्ग पर गाड़ी चला रहे हैं, $60$ मील प्रति घंटा स्थिर गति में गाड़ी दौड़ रही है \n\n**रेखा का झुकाव इस संबंध को क्या दर्शाता है?**\n\nझुकाव [[☃ input-number 1]] है I\n\n **आलेख का अनुपातिक संबंध \n$d=60t\\,$ है Iजो आपकी यात्रा की दूरी $d$ (मील में ) समय $t$ की अवधि (घंटों में) बताता है जब से आप ने $60\\, \\text{mph}$ चलना शुरू किया था**\n\n\n\n\n\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":60},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e873a2844e0f055a21f9b5170525f15b5d42228e.png","width":425},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"none","range":[[-1,8],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,10]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/a9/f517fd5a1257.json b/data/questions/43/a9/f517fd5a1257.json new file mode 100644 index 0000000000..2706226704 --- /dev/null +++ b/data/questions/43/a9/f517fd5a1257.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-5, 6)$, and the upper-right coordinates are $(-2, 6)$. The rectangle has a perimeter of $16$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[-2,1],[-2,6],[-5,6],[-5,1]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/b1/5dd67eaba6cb.json b/data/questions/43/b1/5dd67eaba6cb.json new file mode 100644 index 0000000000..dae2ae407d --- /dev/null +++ b/data/questions/43/b1/5dd67eaba6cb.json @@ -0,0 +1 @@ +{"content":"crwdns4115302:0crwdne4115302:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/35af55fd8ca1fd970e15b47edce06cad89333c3f","width":425},"correct":{"coords":[[1,1],[1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/b3/1ba999db34b6.json b/data/questions/43/b3/1ba999db34b6.json new file mode 100644 index 0000000000..4f75a5b42e --- /dev/null +++ b/data/questions/43/b3/1ba999db34b6.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(11,7)$, $(11,0)$, $(2,0)$, and $(2,7)$.\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the height of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,0],[11,0],[2,7],[11,7]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/b3/e9dd2eb02e8d.json b/data/questions/43/b3/e9dd2eb02e8d.json new file mode 100644 index 0000000000..c2b6321419 --- /dev/null +++ b/data/questions/43/b3/e9dd2eb02e8d.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{8}(x +5)(x -3)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-1,6],[-5,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/b7/435299d4fb4b.json b/data/questions/43/b7/435299d4fb4b.json new file mode 100644 index 0000000000..68344b7d04 --- /dev/null +++ b/data/questions/43/b7/435299d4fb4b.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $ARMY$ is rotated $90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 3":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ef6755eb3083acf94f5e581551d3380ba4bc60a","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[-3,3],[-1,5],[-5,7],[-7,5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/d3/aabad2a4bab2.json b/data/questions/43/d3/aabad2a4bab2.json new file mode 100644 index 0000000000..d8cb4b1cb9 --- /dev/null +++ b/data/questions/43/d3/aabad2a4bab2.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(1.5,3)$ and has a radius of $0.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1.5,3],"radius":0.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/d4/045fc42e129a.json b/data/questions/43/d4/045fc42e129a.json new file mode 100644 index 0000000000..cab6ace945 --- /dev/null +++ b/data/questions/43/d4/045fc42e129a.json @@ -0,0 +1 @@ +{"content":"Vectors $\\vec{a}$ and $\\vec{b}$ are drawn in the interactive graph below. \n \n**Click to graph the terminal point of the vector obtained by adding $\\vec{a}$ and $\\vec{b}$, whose initial point is the origin.** \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/699ae1eb575f0afddb3f58a2e4614764f552a8e3","width":400},"correct":{"coords":[[8,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/e3/7fde9fa67e1b.json b/data/questions/43/e3/7fde9fa67e1b.json new file mode 100644 index 0000000000..33d1fbd4da --- /dev/null +++ b/data/questions/43/e3/7fde9fa67e1b.json @@ -0,0 +1 @@ +{"content":"For Halloween, Nana makes bags with orange and black candies for her $5$ grandchildren. The points show how many orange candies and how many black candies are in $4$ of the bags. \n\nThe fifth bag has $4$ more orange candies than bag $1$ and $1$ less black candy than bag $2$.\n \n\n**Plot the $5^{\\text{th}}$ bag's candies on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f169bc39a0f689fe6080b3e5985c1d12676ec947","width":400},"correct":{"coords":[[11,12]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/eb/53d76d6771e0.json b/data/questions/43/eb/53d76d6771e0.json new file mode 100644 index 0000000000..bbe3e537fa --- /dev/null +++ b/data/questions/43/eb/53d76d6771e0.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y-8)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,8],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/43/fd/2bb8324614c8.json b/data/questions/43/fd/2bb8324614c8.json new file mode 100644 index 0000000000..04569545bf --- /dev/null +++ b/data/questions/43/fd/2bb8324614c8.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 4|x-1|-3, ~~\\text{Domain}~~[-2,3]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-3},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-2,9],[1,-3]],[[1,-3],[3,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/44/01/4aef71203c70.json b/data/questions/44/01/4aef71203c70.json new file mode 100644 index 0000000000..2ca7f12129 --- /dev/null +++ b/data/questions/44/01/4aef71203c70.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5ad1fec66d19a50b630023c5b9041e078b832855","width":425},"correct":{"coords":[[0,-3],[1,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/09/988f7bde2eca.json b/data/questions/44/09/988f7bde2eca.json new file mode 100644 index 0000000000..595746545f --- /dev/null +++ b/data/questions/44/09/988f7bde2eca.json @@ -0,0 +1 @@ +{"content":"Sandy believes that the ideal man's head is $\\dfrac{1}{7}$ of his entire height.\n\n**Move the points to draw a head of ideal proportions on the figure below. Represent the head as a square.**\n\n(put an image of a statue in the background)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/0a/ad7ec9268d5d.json b/data/questions/44/0a/ad7ec9268d5d.json new file mode 100644 index 0000000000..614e97503e --- /dev/null +++ b/data/questions/44/0a/ad7ec9268d5d.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a reflection across line $n$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/88700d6be4b7337708d1d6eedafed7b24a8b2ab3","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[5,-1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/0f/66c458389d96.json b/data/questions/44/0f/66c458389d96.json new file mode 100644 index 0000000000..e2f2f0c3c5 --- /dev/null +++ b/data/questions/44/0f/66c458389d96.json @@ -0,0 +1 @@ +{"content":"In a recent gum-chewing contest, Violet tried to blow the biggest blueberry-flavored bubble ever. She started with no gum in her mouth, and every $3$ seconds, she added $1$ piece of gum to form a huge bubble. On the graph below, the $x$-axis represents time (in seconds) and the $y$-axis represents pieces of gum in Violet's bubble. \n\n**Plot points to show how many pieces of gum were in Violet's bubble after $3$, $6$, and $9$ seconds**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6,2],[9,3],[3,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/17/5a84bbe64fc6.json b/data/questions/44/17/5a84bbe64fc6.json new file mode 100644 index 0000000000..186c4f73a9 --- /dev/null +++ b/data/questions/44/17/5a84bbe64fc6.json @@ -0,0 +1 @@ +{"content":"crwdns4115386:0crwdne4115386:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dcd77847734e898c7fd96701bcbeb116be06bf1","width":400},"correct":{"coords":[[-1,-6],[-2,-7],[-4,-3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/1a/fe19651a3ce2.json b/data/questions/44/1a/fe19651a3ce2.json new file mode 100644 index 0000000000..51e10ee01c --- /dev/null +++ b/data/questions/44/1a/fe19651a3ce2.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a96d3b202632c76e435d5271e691e7088a8975c","width":425},"correct":{"coords":[[-4,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/1e/dc5b2bfc2fdb.json b/data/questions/44/1e/dc5b2bfc2fdb.json new file mode 100644 index 0000000000..8c0f40b0ba --- /dev/null +++ b/data/questions/44/1e/dc5b2bfc2fdb.json @@ -0,0 +1 @@ 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diff --git a/data/questions/44/31/fcd00d5edab8.json b/data/questions/44/31/fcd00d5edab8.json new file mode 100644 index 0000000000..609105bfa5 --- /dev/null +++ b/data/questions/44/31/fcd00d5edab8.json @@ -0,0 +1 @@ +{"content":"crwdns4072041:0$12$crwdnd4072041:0$10$crwdnd4072041:0$10$crwdne4072041:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15.32960747877035,4.857843140337501],[9.385307705798532,12.899316898862562],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/4d/a8db5cdba4ff.json b/data/questions/44/4d/a8db5cdba4ff.json new file mode 100644 index 0000000000..954167a450 --- /dev/null +++ b/data/questions/44/4d/a8db5cdba4ff.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(3,4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/4e/dca7b50531cd.json b/data/questions/44/4e/dca7b50531cd.json new file mode 100644 index 0000000000..933c8a0ec2 --- /dev/null +++ b/data/questions/44/4e/dca7b50531cd.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{3}{8}(x -1)(x -9)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[5,-6],[1,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/4f/1c89fdbcd02f.json b/data/questions/44/4f/1c89fdbcd02f.json new file mode 100644 index 0000000000..d14a2f8faf --- /dev/null +++ b/data/questions/44/4f/1c89fdbcd02f.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a triangle with vertices at the following points.** \n\n$(-3, 4), (1, -5), (9, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/50/7d7c218ed445.json b/data/questions/44/50/7d7c218ed445.json new file mode 100644 index 0000000000..c8cd64dbd6 --- /dev/null +++ b/data/questions/44/50/7d7c218ed445.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -5-i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-5,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/56/aa530df0777a.json b/data/questions/44/56/aa530df0777a.json new file mode 100644 index 0000000000..9780640319 --- /dev/null +++ b/data/questions/44/56/aa530df0777a.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n{\\dfrac{2}{9}}x-{\\dfrac{43}{9}} & , & [-10,-1) \\\\\\\\\n-5 & , & [-1,3)\\\\\\\\\n-0.2x-4.4 & , & [3,8)\\\\\\\\\n4.5x-42 & , & [8,10]\\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[10,3],[8,-6]],[[3,-5],[8,-6]],[[-1,-5],[3,-5]],[[-10,-7],[-1,-5]]],"numSegments":4,"type":"segment"},"graph":{"numSegments":4,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/56/c17824adefbd.json b/data/questions/44/56/c17824adefbd.json new file mode 100644 index 0000000000..f1259d0032 --- /dev/null +++ b/data/questions/44/56/c17824adefbd.json @@ -0,0 +1 @@ +{"content":"**Construct a $180^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/8ba9a1c7fe79fdc1624d2769481c3ff6ad505501.png":{"height":79,"width":403}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/5b/f5d6e16a545d.json b/data/questions/44/5b/f5d6e16a545d.json new file mode 100644 index 0000000000..c5d304211b --- /dev/null +++ b/data/questions/44/5b/f5d6e16a545d.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{x= \\dfrac{y+1}{2}}$\n\n$\\qquad\\pink{2y+x=3}$\n\n**Create a new equation by setting the left-hand sides of the equations equal to each other and solving for $y$.** \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":true},{"content":"is also","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 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+{"content":"crwdns3209073:0$y$crwdne3209073:0","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8b20174b7ea1f5d2e498d591a218f3a85600b1fb.png","width":425},"correct":{"coords":[[2,1],[-7,5],[-7,-5]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/44/6b/df96d5c4cf77.json b/data/questions/44/6b/df96d5c4cf77.json new file mode 100644 index 0000000000..a33a8378f8 --- /dev/null +++ b/data/questions/44/6b/df96d5c4cf77.json @@ -0,0 +1 @@ +{"content":"Plot a ray that starts at $(-3, 3)$ and passes through the point $(0, 2)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"graph":{"type":"ray"},"correct":{"type":"ray","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[-3,3],[0,2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/6c/5b64c5102a6e.json b/data/questions/44/6c/5b64c5102a6e.json new file mode 100644 index 0000000000..6b6cbbf217 --- /dev/null +++ b/data/questions/44/6c/5b64c5102a6e.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[0,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/6f/8670618d6d99.json b/data/questions/44/6f/8670618d6d99.json new file mode 100644 index 0000000000..9411a3d5b5 --- /dev/null +++ b/data/questions/44/6f/8670618d6d99.json @@ -0,0 +1 @@ +{"content":"Korey is organizing a music concert. She plans to invest $\\$2000$ to rent the venue and to pay the musicians and then sell the tickets for $\\$20$ each. The graph below shows the profit $y$ she will make from the concert as a function of the number of tickets sold $x$.\n\n![](https://ka-perseus-graphie.s3.amazonaws.com/d434a55766cabc3cedec046daa002d00d871bae4.png)\n\nIf instead Korey decides to invest only $\\$1200$ for the concert and sells the tickets for $\\$40$ each,\n**what will be the new graph of Korey's profit?**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/d434a55766cabc3cedec046daa002d00d871bae4.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-1200],[30,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,180],[-2200,1800]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[10,200]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/75/0b1849cf5404.json b/data/questions/44/75/0b1849cf5404.json new file mode 100644 index 0000000000..278d822f12 --- /dev/null +++ b/data/questions/44/75/0b1849cf5404.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $4$ units left.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3e11d08201cd2e936bb6fa4512c7bd6b4b68a6a9","width":425},"correct":{"coords":[[-1,-1],[-5,1],[-2,5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/7b/0563fa28a2c6.json b/data/questions/44/7b/0563fa28a2c6.json new file mode 100644 index 0000000000..bc04f87f95 --- /dev/null +++ b/data/questions/44/7b/0563fa28a2c6.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-5, 6)$, and the upper-right coordinates are $(-2, 6)$. The rectangle has a perimeter of $16$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-2,1],[-2,6],[-5,6],[-5,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/7b/0edd692f97e6.json b/data/questions/44/7b/0edd692f97e6.json new file mode 100644 index 0000000000..498221033a --- /dev/null +++ b/data/questions/44/7b/0edd692f97e6.json @@ -0,0 +1 @@ +{"content":"We want to find the intersection points of the graphs given by the following system of equations:\n\n$\\begin{cases}\nx+y=2\n\\\\\\\\\nx^2+y^2=4\n\\end{cases}$\n\nThe line given by $x+y=2$ is graphed.\n\n**1) Draw the circle given by $x^2+y^2=4$ in the interactive graph.**\n\n[[☃ interactive-graph 1]]\n\n**2) Select all intersection points.**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a72273fab34b04034330809c910db7d2d2c476f8","width":400},"correct":{"center":[0,0],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(2,2)$","correct":false},{"content":"$(1,1)$","correct":false,"isNoneOfTheAbove":false},{"content":"$(0,2)$","correct":true,"isNoneOfTheAbove":false},{"content":"$(2,0)$","correct":true,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/44/7d/aa30fdd87c31.json b/data/questions/44/7d/aa30fdd87c31.json new file mode 100644 index 0000000000..725ca4ee6d --- /dev/null +++ b/data/questions/44/7d/aa30fdd87c31.json @@ -0,0 +1 @@ +{"content":"$\\triangle{RUG}$ is rotated $180^\\circ$ about the point $(3,-2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5cc9797e149c7562c4b6e9149d055fbf2aff382","width":425},"correct":{"coords":[[1,-6],[-1,-8],[7,-8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/b3/b592192590a8.json b/data/questions/44/b3/b592192590a8.json new file mode 100644 index 0000000000..5518963223 --- /dev/null +++ b/data/questions/44/b3/b592192590a8.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=4x^2-4x-8$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[0.5,-9],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-9},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/be/77785a76f1af.json b/data/questions/44/be/77785a76f1af.json new file mode 100644 index 0000000000..101dbb4e32 --- /dev/null +++ b/data/questions/44/be/77785a76f1af.json @@ -0,0 +1 @@ +{"content":"crwdns4115302:0crwdne4115302:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd76a18ef43056feffb77bd55d6424ec66bed01f","width":425},"correct":{"coords":[[0,1],[6,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/d3/cda0aeef6726.json b/data/questions/44/d3/cda0aeef6726.json new file mode 100644 index 0000000000..593620d24f --- /dev/null +++ b/data/questions/44/d3/cda0aeef6726.json @@ -0,0 +1 @@ +{"content":"crwdns3462891:0$fcrwdnd3462891:0{1}crwdnd3462891:0{2}crwdne3462891:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-4],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/44/ec/c4076238de04.json b/data/questions/44/ec/c4076238de04.json new file mode 100644 index 0000000000..80bcbd918d --- /dev/null +++ b/data/questions/44/ec/c4076238de04.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/236e5ec455b9b95f4596553cdd50ab16b31681d7","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-2,-1],[-2,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/03/eca676ca7d9f.json b/data/questions/45/03/eca676ca7d9f.json new file mode 100644 index 0000000000..ed25118908 --- /dev/null +++ b/data/questions/45/03/eca676ca7d9f.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=-10(x-0.5)^2-3$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[0.5,-3],[0,-5.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/22/2088a7b0d93c.json b/data/questions/45/22/2088a7b0d93c.json new file mode 100644 index 0000000000..83ff8cb6b1 --- /dev/null +++ b/data/questions/45/22/2088a7b0d93c.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $9$, Rule: add $3$\n\nPattern $y$: Starting number: $3$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$9$ | $3$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9,3],[12,4],[15,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/26/39928f88bf7e.json b/data/questions/45/26/39928f88bf7e.json new file mode 100644 index 0000000000..595e35beca --- /dev/null +++ b/data/questions/45/26/39928f88bf7e.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $EARN$ is rotated $180^\\circ$ about the point $(-4,-1)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e617a874c90b0d9be0b2754de38f288d6524bece","width":425},"correct":{"coords":[[-9,4],[-2,6],[-1,4],[-4,2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/29/f723851d22c6.json b/data/questions/45/29/f723851d22c6.json new file mode 100644 index 0000000000..b274d718e8 --- /dev/null +++ b/data/questions/45/29/f723851d22c6.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(2,7)$, $(7,7)$, $(2,3)$, and $(7,3)$.\n\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the height of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,3],[7,3],[2,7],[7,7]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/57/a793aad16326.json b/data/questions/45/57/a793aad16326.json new file mode 100644 index 0000000000..0f7cf8932d --- /dev/null +++ b/data/questions/45/57/a793aad16326.json @@ -0,0 +1 @@ +{"content":"**Graph $x+3y=6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,2],[6,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/5e/e829a11d28b2.json b/data/questions/45/5e/e829a11d28b2.json new file mode 100644 index 0000000000..1995a4fd0c --- /dev/null +++ b/data/questions/45/5e/e829a11d28b2.json @@ -0,0 +1 @@ +{"content":"Match the segment to the dotted segment in the background.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"point","coord":[-8,9],"color":"green","filled":true},{"type":"line","kind":"segment","points":[{"type":"point","coord":[3,8],"color":"blue","filled":true},{"type":"point","coord":[8,8],"color":"blue","filled":true}],"color":"blue","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"ellipse","center":[0,2],"radius":[1,1],"angle":0,"color":"purple","fillStyle":"none","strokeStyle":"solid"},{"type":"vector","points":[[-2,-2],[-4,-4]],"color":"pink"},{"type":"polygon","points":[[5,-3],[4,-5],[6,-5]],"color":"orange","showVertices":false,"fillStyle":"none","strokeStyle":"solid"}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[3,8],[8,8]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/62/c3c47e0f14b4.json b/data/questions/45/62/c3c47e0f14b4.json new file mode 100644 index 0000000000..b8d42e3f54 --- /dev/null +++ b/data/questions/45/62/c3c47e0f14b4.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{2}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b2e498acf14a84e67e5628d67c18c098b2170aba","width":400},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/64/27f6c1a11b79.json b/data/questions/45/64/27f6c1a11b79.json new file mode 100644 index 0000000000..30d5f94cd9 --- /dev/null +++ b/data/questions/45/64/27f6c1a11b79.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/342d1c43bdbb8187376732832d5f2a7bef08bb03","width":425},"correct":{"coords":[[0,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/69/3974a0952836.json b/data/questions/45/69/3974a0952836.json new file mode 100644 index 0000000000..c3a114b773 --- /dev/null +++ b/data/questions/45/69/3974a0952836.json @@ -0,0 +1 @@ +{"content":"The following two equations form a linear system.\n\n$\\qquad y=-3x-7$\n\n$\\qquad y=x+9$\n\n**Graph the system of equations and find its solution.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[-1,-4],[0,-7]],[[-1,8],[0,9]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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+{"content":"crwdns4213096:0$8$crwdnd4213096:0$1$crwdnd4213096:0$x$crwdnd4213096:0$y$crwdnd4213096:0:-:crwdnd4213096:0$1$crwdnd4213096:0$8$crwdnd4213096:0$2$crwdnd4213096:0$3$crwdne4213096:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,8],[2,16],[3,24]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,7],[-2,26]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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100644 index 0000000000..d15f9206b3 --- /dev/null +++ b/data/questions/45/d9/e6daa5756e8e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=6\\cdot\\left(\\dfrac{4}{3}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,8],[0,6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/df/1374c9b7b4aa.json b/data/questions/45/df/1374c9b7b4aa.json new file mode 100644 index 0000000000..8db276f93a --- /dev/null +++ b/data/questions/45/df/1374c9b7b4aa.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[2,4],[5,6]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/45/e5/c56edb07edc0.json 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a/data/questions/45/ef/12a24810486f.json b/data/questions/45/ef/12a24810486f.json new file mode 100644 index 0000000000..4622d662fd --- /dev/null +++ b/data/questions/45/ef/12a24810486f.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-x^2-6x-3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,6],[0,-3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/0c/b01f8b51507d.json b/data/questions/46/0c/b01f8b51507d.json new file mode 100644 index 0000000000..0f5a2e907b --- /dev/null +++ b/data/questions/46/0c/b01f8b51507d.json 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of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1197a7ebeae001f5aebe8610344448e891f8cf38","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/1b/d300754ad292.json b/data/questions/46/1b/d300754ad292.json new file mode 100644 index 0000000000..d391872cf0 --- /dev/null +++ b/data/questions/46/1b/d300754ad292.json @@ -0,0 +1 @@ +{"content":"In a recent gum-chewing contest, Violet tried to blow the biggest blueberry-flavored bubble ever. She started with no gum in her mouth, and every $3$ seconds, she added $1$ piece of gum to form a huge bubble. On the graph below, the $x$-axis represents time (in seconds) and the $y$-axis represents pieces of gum in Violet's bubble. \n\n**Plot points to show how many pieces of gum were in Violet's bubble after $3$, $6$, and $9$ seconds**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,2],[9,3],[3,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/27/c4d4fb05f2eb.json b/data/questions/46/27/c4d4fb05f2eb.json new file mode 100644 index 0000000000..ba754eba52 --- /dev/null +++ b/data/questions/46/27/c4d4fb05f2eb.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x +8y -5=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[2,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/34/6f0dfd9f3c5c.json b/data/questions/46/34/6f0dfd9f3c5c.json new file mode 100644 index 0000000000..f39a629abe --- /dev/null +++ b/data/questions/46/34/6f0dfd9f3c5c.json @@ -0,0 +1 @@ +{"content":"Malaya has $4$ books checked out from the library. In the graph below, the variable $b$ represents the number of books Malaya decides to check out on her next library visit (she doesn't return any). The variable $t$ represents the total number of books Malaya has checked out from the library. \n\nThe relationship between these two variables can be expressed by the following equation:\n\n$t = 4+b$\n\n**Plot points on the graph that show the total number of books Malaya will have checked out from the library if she gets $2$ books or $5$ books on her next library visit.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/0adc33600dd34f0872764782894f8f4412e6c200.png":{"height":417,"width":652},"https://ka-perseus-images.s3.amazonaws.com/186d5ac5700527aa67212626c5c5a5e85f5b2294.png":{"height":346,"width":638},"https://ka-perseus-images.s3.amazonaws.com/9414326460bfa10add9710ab23911ba7ed6d78b2.png":{"height":202,"width":395}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,6],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\□□□□{□□□ □□□□□}","\\□□□□{□□□□□ □□□□□}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/3c/568733a7069c.json b/data/questions/46/3c/568733a7069c.json new file mode 100644 index 0000000000..079b025354 --- /dev/null +++ b/data/questions/46/3c/568733a7069c.json @@ -0,0 +1 @@ +{"content":"The figure below shows a pyramid whose base is a $6\\times 6$ square and whose height is $6$. \n\n![square pyramid, horizontal slice](https://ka-perseus-graphie.s3.amazonaws.com/4e6db0b061f7d0aaab47e90516b4d1a2b8bb2023.png)\n\n**Draw the shape of a horizontal slice through the pyramid.**\n\nClick below to add vertices and draw all the sides of the shape. Drag the vertices if you need to change the lengths of the sides.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/4e6db0b061f7d0aaab47e90516b4d1a2b8bb2023.png":{"height":359,"width":399}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0.5,3.5],[3.5,3.5],[3.5,0.5],[0.5,0.5]],"match":"similar","numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"grid","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/3c/8d197c6ac16f.json b/data/questions/46/3c/8d197c6ac16f.json new file mode 100644 index 0000000000..279bda71b8 --- /dev/null +++ b/data/questions/46/3c/8d197c6ac16f.json @@ -0,0 +1 @@ +{"content":"crwdns4115302:0crwdne4115302:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e442bd42b36a954f342fb8db4e5e19b3f7ade7","width":425},"correct":{"coords":[[-3,5],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/42/3aa18e339b18.json b/data/questions/46/42/3aa18e339b18.json new file mode 100644 index 0000000000..d8c871ce6a --- /dev/null +++ b/data/questions/46/42/3aa18e339b18.json @@ -0,0 +1 @@ +{"content":"Keith is saving money for a car. He has saved the same amount each year for the past three years, and records how much he has at the end of each year in the table below.\n\n |Year $1$|Year $2$|Year $3$\n-:|-:|-:|-:\nTotal amount saved |$\\$1500$|$\\$3000$|$\\$4500$\n\n**What is Keith's *unit rate* of change of dollars with respect to time; that is, how much does Keith save in *one* year? **\n\nThe unit rate is [[☃ input-number 1]] dollars per year.\n\n\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing years, and the $y$-coordinate representing amount saved in thousands of dollars.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1500"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,5],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/63/7b0b208ac6b4.json b/data/questions/46/63/7b0b208ac6b4.json new file mode 100644 index 0000000000..52abab2417 --- /dev/null +++ b/data/questions/46/63/7b0b208ac6b4.json @@ -0,0 +1 @@ +{"content":"crwdns3457592:0$(x-1)crwdne3457592:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,8],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/6a/b8fe9c501216.json b/data/questions/46/6a/b8fe9c501216.json new file mode 100644 index 0000000000..10b110a842 --- /dev/null +++ b/data/questions/46/6a/b8fe9c501216.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/20cb7152ae355802f7fe19491d84021cccd47125)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/7052632393790eec27a335d6f1e4b6137267dc39.png":{"height":236,"width":125},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/20cb7152ae355802f7fe19491d84021cccd47125":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-\\dfrac54$","$-0.5$","$2$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/76/8aae875af31e.json b/data/questions/46/76/8aae875af31e.json new file mode 100644 index 0000000000..edbc5a9c7a --- /dev/null +++ b/data/questions/46/76/8aae875af31e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=x^2+2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-1],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/82/b1f8a556fbaa.json b/data/questions/46/82/b1f8a556fbaa.json new file mode 100644 index 0000000000..2465191906 --- /dev/null +++ b/data/questions/46/82/b1f8a556fbaa.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dcd77847734e898c7fd96701bcbeb116be06bf1","width":400},"correct":{"coords":[[-1,-6],[-2,-7],[-4,-3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/84/34247b7bcd4c.json b/data/questions/46/84/34247b7bcd4c.json new file mode 100644 index 0000000000..fabb0192cd --- /dev/null +++ b/data/questions/46/84/34247b7bcd4c.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $6$ units\n\n\n- Its amplitude is $7$ units\n\n\n- It intersects its midline at $(-6,-1.5)$ and then increases\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-6,-1.5],[-4.5,5.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/86/a4fe33567323.json b/data/questions/46/86/a4fe33567323.json new file mode 100644 index 0000000000..6f53c2d60f --- /dev/null +++ b/data/questions/46/86/a4fe33567323.json @@ -0,0 +1 @@ +{"content":"crwdns3144121:0{FI}crwdnd3144121:0{LE}crwdnd3144121:0$ycrwdne3144121:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec9db377c855be17a2841116d069c94ee6277951","width":425},"correct":{"coords":[[[-8,5],[8,-2]],[[-7,-1],[-3,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91b9cdea9392fcb822d0365456409475e579472a","width":425},"correct":{"coords":[[[-9,0],[5,5]],[[-7,-1],[-7,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dbac9c0d80eb620ac380f038eed02de1b3295976","width":425},"correct":{"coords":[[[-4,-7],[-4,-9]],[[-6,-4],[3,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ff32e4b8055948ab048578d8b2ffc66e6054acb6","width":425},"correct":{"coords":[[[-3,8],[-9,-5]],[[-4,0],[-3,-7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/75e2976b97bc615fbd677ff1cf85c00366faa41f","width":425},"correct":{"coords":[[[2,-4],[-5,5]],[[-8,-4],[-6,2]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/89/32ea24cd2ed4.json b/data/questions/46/89/32ea24cd2ed4.json new file mode 100644 index 0000000000..bb3b574425 --- /dev/null +++ b/data/questions/46/89/32ea24cd2ed4.json @@ -0,0 +1 @@ +{"content":"**Construct a $25^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/004d5d51e040e2c4a11f270c84c52565546ed40a.png":{"height":125,"width":211},"https://ka-perseus-images.s3.amazonaws.com/1e10c080541ebc2aec4b2e8dc055d66b3468d783.png":{"height":179,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[4.288969718228789,6.125283554065734]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/91/caacdff29a2f.json b/data/questions/46/91/caacdff29a2f.json new file mode 100644 index 0000000000..0115fcb865 --- /dev/null +++ b/data/questions/46/91/caacdff29a2f.json @@ -0,0 +1 @@ +{"content":"**Graph $-9x+5y=45$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,9],[-5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/93/69aea9836b51.json b/data/questions/46/93/69aea9836b51.json new file mode 100644 index 0000000000..7cc8d941ff --- /dev/null +++ b/data/questions/46/93/69aea9836b51.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $PALM$ after the rotation $R_{-90^\\circ}$ about the point $(-4,2)$.** \nNegative rotations are clockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ece7ccb66558e3dc56d878138b4523d123a92dbd.png","width":425},"correct":{"coords":[[0,-9],[-1,-6],[-5,-5],[-9,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/46/98/7b62ac49bbb2.json b/data/questions/46/98/7b62ac49bbb2.json new file mode 100644 index 0000000000..ee04fd0091 --- /dev/null +++ b/data/questions/46/98/7b62ac49bbb2.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\sin\\left(\\dfrac{1}{2}x\\right)+8$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,8],[2,9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/a2/390166c4b62c.json b/data/questions/46/a2/390166c4b62c.json new file mode 100644 index 0000000000..af7911ce6c --- /dev/null +++ b/data/questions/46/a2/390166c4b62c.json @@ -0,0 +1 @@ +{"content":"You buy boxes of strawberries at the market. Each box costs $\\$6$.\n\n**Write an equation for the number of dollars, $d$, you spend on $b$ boxes.**\n\n[[☃ expression 2]]\n\nYesterday, you purchased $2$ boxes. Today you purchase $5$ boxes.\n\n**Place points on the graph to show your purchases yesterday and today.**\n\n\n[[☃ interactive-graph 2]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/cfefcdd2a689aef3469c2c2b72bec611374853b3.png":{"height":425,"width":425}},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"d=6b"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,6],"labels":["$\\text{Boxes}$","$\\text{Dollars}$"],"markings":"graph","range":[[-1,11],[-1,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,3],"step":[1,6]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/b6/35d8d4b4e474.json b/data/questions/46/b6/35d8d4b4e474.json new file mode 100644 index 0000000000..b617420841 --- /dev/null +++ b/data/questions/46/b6/35d8d4b4e474.json @@ -0,0 +1 @@ +{"content":"[[☃ passage 1]]\n\n=====\n\n[[☃ group 1]]\n\n[[☃ group 2]]\n\n[[☃ group 3]]\n\n[[☃ group 4]]\n\n[[☃ group 5]]\n\n[[☃ group 6]]\n\n[[☃ group 7]]\n\n[[☃ group 8]]\n\n[[☃ group 9]]\n\n[[☃ group 10]]\n\n[[☃ group 11]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"group 1":{"graded":true,"options":{"content":"To make the paragraph most logical, sentence 2 should be placed\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGorQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIG8vAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice results in an illogical sequence of ideas. In this context, it's more effective to place the claim about the popularity of choir singing before the specific evidence supporting that point.\n","content":"where it is now.","correct":false},{"clue":"This choice is the best answer because it results in the most logical sequence of ideas. In this context, it's more effective to place the claim about the popularity of choir singing before the specific evidence supporting that point.\n","content":"at the beginning of the paragraph.","correct":true},{"clue":"This choice results in an illogical sequence of ideas. It does not make sense to state the popularity of choir singing between the question and answer structure of sentences 3 and 4.\n","content":"after sentence 3.","correct":false},{"clue":"This choice results in an illogical sequence of ideas. It does not make sense to state the popularity of choir singing at the end of an introductory paragraph.\n","content":"after sentence 4.","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 10":{"graded":true,"options":{"content":"At this point, the writer is considering adding the following sentence: “Scientists do not yet know all the benefits of singing, but the communal process that singing in a choir provides has many positive side effects.” Should the writer make this addition here?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7KsAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7jpQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice is the best answer because it adds the sentence and offers a sound reason for doing so: the benefit of choir singing is indeed the primary claim of the passage. Furthermore, it makes sense to reinforce this primary claim in the concluding paragraph.\n","content":"Yes, because it reinforces the primary claim of the passage.","correct":true},{"clue":"Although this choice would add a relevant sentence, the reason it provides is flawed: the sentence summarizes the primary claim of the passage, but does not offer any additional information.\n","content":"Yes, because it offers additional information that supports the claim of the passage.","correct":false},{"clue":"This choice fails to add a relevant sentence, and the reason it provides is flawed: the benefit of choir singing is not just related to the passage, but is its primary claim.\n","content":"No, because it provides information unrelated to the passage.","correct":false},{"clue":"This choice fails to add a relevant sentence, and the reason it provides is flawed: instead of distracting from the focus of the previous paragraph, the sentence provides a good transition.\n","content":"No, because it distracts from the focus of the previous paragraph.","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 11":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMGyrwoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMGuvgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMG5oAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMHDsQoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice results in a rhetorically inappropriate sentence fragment. There is no independent clause in the first “sentence.”\n","content":"NO CHANGE","correct":false},{"clue":"This choice is the best answer because it results in a grammatically complete and standard sentence.\n","content":"happiness, choir","correct":true},{"clue":"This choice results in a grammatically incorrect sentence: a dash is not a conventional punctuation choice between an introductory phrase and a main clause.\n","content":"happiness--choir","correct":false},{"clue":"This choice results in a grammatically incorrect sentence: a colon is not a conventional punctuation choice between an introductory phrase and a main clause.\n","content":"happiness: choir","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 2":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoJ6itgkM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoOGOpgoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"“For unison” is not consistent with the conventions of standard written English.\n","content":"NO CHANGE","correct":false},{"clue":"“On unison” is not consistent with the conventions of standard written English.\n","content":"on ","correct":false},{"clue":"“At unison” is not consistent with the conventions of standard written English.\n","content":"at ","correct":false},{"clue":"This choice is the best answer because \"in unison” is consistent with the conventions of standard written English.\n","content":"in ","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 3":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoJ6itgkM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoKG1vQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoNqKugkM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice results in a lack of agreement between the singular subject \"combination\" and the plural verb “are.”\n","content":"NO CHANGE","correct":false},{"clue":"This choice results in a lack of agreement between the singular subject \"combination\" and the plural verb “were.”","content":"were","correct":false},{"clue":"This choice results in a lack of agreement between the singular subject \"combination\" and the plural verb “are.”\n","content":"they are","correct":false},{"clue":"This choice is the best answer because it maintains agreement between the singular subject \"combination\" and the singular verb \"is.\"\n","content":"is","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 4":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoOHptwoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoJHaqQoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice doesn't set off \"a prior finding independent of the 2013 study,\" which is, in context, a nonessential element.\n","content":"NO CHANGE","correct":false},{"clue":"This choice is the best answer because it effectively uses parentheses to set off the nonessential element \"a prior finding independent of the 2013 study.\"\n","content":"disease (a prior finding independent of the 2013 study).","correct":true},{"clue":"This choice results in a grammatically incorrect structure; a semicolon is not a conventional choice for setting off a nonessential element.\n","content":"disease; a prior finding independent of the 2013 study.","correct":false},{"clue":"This choice results in a grammatically incorrect structure: a colon is not a conventional choice for setting off a nonessential element.\n","content":"disease: a prior finding independent of the 2013 study.","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 5":{"graded":true,"options":{"content":"Which choice most effectively establishes the main topic of the paragraph?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7KsAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP6eqQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice, instead of establishing the main topic of the paragraph, would begin the paragraph with information related to the topic of the previous paragraph.\n","content":"NO CHANGE","correct":false},{"clue":"This choice, instead of establishing the main topic of the paragraph, would begin the paragraph by referencing the topic of the next paragraph.\n","content":"Singing in a choir can help prevent depression.","correct":false},{"clue":"This choice is the best answer because it clearly establishes the main topic of the paragraph: the neurological effects of choir singing.\n","content":"The brain tends to respond favorably to group singing.","correct":true},{"clue":"This choice, instead of establishing the main topic of the paragraph, would begin the paragraph by referencing a topic from the previous paragraph.\n","content":"Several studies show that people report feeling happier when they sing together.","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 6":{"graded":true,"options":{"content":"Which choice most effectively combines the sentences at the underlined portion?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMHktgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice results in a repetitive and awkward construction.\n","content":"endorphins, which end up blunting","correct":false},{"clue":"This choice is the best answer because it combines the sentences logically and efficiently.\n","content":"endorphins, which blunt","correct":true},{"clue":"This choice results in an illogical construction. The use of the conjunction \"but\" implies that the effect of endorphins is contrary to expectation; however, in the context of the passage, it doesn't make sense to suggest this contrast.\n","content":"endorphins, but they blunt","correct":false},{"clue":"This choice results in a repetitive and awkward construction.\n","content":"endorphins, and they blunt","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 7":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGorQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHGowoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice is the best answer because it clearly indicates the cause-and-effect relationship between the positive effects of choir singing and therapist recommendations.","content":"NO CHANGE","correct":true},{"clue":"This choice results in an illogical relationship between the positive effects of choir singing and therapist recommendations. It doesn't make sense to say that therapists would recommend singing a choir despite its positive effects.\n","content":"Despite","correct":false},{"clue":"This choice doesn't provide the most effective transition between the positive effects of choir singing and therapist recommendations. The logical relationship between these two ideas is causal.\n","content":"In addition to","correct":false},{"clue":"This choice doesn't provide the most effective transition between the positive effects of choir singing and therapist recommendations. The logical relationship between these two ideas is causal.\n","content":"Besides","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 8":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGNqwoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice is not the most contextually appropriate way to indicate that therapists use choir singing as an additional form of treatment. While ‘element’ does offer some sense of addition, it does not imply any therapeutic benefit.","content":"NO CHANGE","correct":false},{"clue":"While this choice does offer some sense of addition, it is awkward and unconventional to refer to this type of treatment as an ‘accessory,’ which suggests something unnecessary or frivolous.","content":"an accessory","correct":false},{"clue":"This choice is the best answer because it provides the most precise wording for this particular context.\n","content":"a supplement","correct":true},{"clue":"While this choice does offer some sense of addition, it incorrectly suggests the treatment is a sort of afterthought or postscript.\n","content":"an addendum","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 9":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGbugoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice results in wordiness.\n","content":"NO CHANGE","correct":false},{"clue":"This choice results in wordiness.\n","content":"reporting that they were suffering from clinical depression.","correct":false},{"clue":"This choice results in redundancy: \"the end of that year\" has already been stated in the previous part of the sentence.\n","content":"suffering from clinical depression by the end of that year.","correct":false},{"clue":"This choice is the best answer because it offers clear and concise wording.\n","content":"clinically depressed.","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"passage 1":{"graded":true,"options":{"footnotes":"","passageText":"[1] In 2013, 32.5 million adults in the United States, roughly 10 percent of the population, sang in choirs, and England is home to more than 3,000 active choral groups. [2] Choir singing is a popular pastime. [3] These singers often report an increased sense of well-being and camaraderie, but does this hobby actually result in better health? [4] According to multiple scientific studies, singing—especially with others—provides concrete benefits to heart and brain health. [[1]]\n \nA 2013 study at Sweden’s University of Gothenburg examined the heart rates of 18 young people as they sang and hummed [[2]] __for__ unison. Heart rate variability (HRV), the increase and decrease in heart rate, occurred simultaneously with subjects’ slowed breathing while singing. This combination of fluctuating heart rate and slowed breathing [[3]] __are__ called respiratory sinus arrhythmia (RSA), and it has been proven to reduce the likelihood of cardiovascular [[4]] __disease a prior finding independent of the 2013 study.__ One interesting finding from this study is that the subjects’ heartbeats synchronized while they sang together. This may be a factor in choir singers’ reported feelings of happiness and bonding.\n \n[[5]] __People feel a keen sense of bonding when they sing together.__ Singing stimulates the right temporal lobe of the brain and releases [[6]] __endorphins. Endorphins blunt__ pain and engender feelings of pleasure. Cortisol, a hormonal reaction to stress and the secretion of which the brain controls, decreases after choir singing. Meanwhile, oxytocin, which the brain interprets as a feeling of emotional bonding, is increased. In a study at Oxford Brookes University, researchers surveyed 375 people who either sang alone, sang in a choir, or participated in organized sports. Those who sang in choir reported the highest levels of happiness. [[7]] __Due to__ its positive side effects, therapists have used choir singing as [[8]] __an element__ for those dealing with depression and chronic pain. A study from an arts and health research center in Canterbury, England, followed the progress of patients diagnosed with depression for a year after they joined a choir. Sixty percent of patients reported improved mental health at the end of that year, and some were no longer [[9]] __experiencing suffering from clinical depression.__\n \n[[10]] From the changes in heartbeat and breathing that result in a healthier heart, to the reduction of cortisol and production of endorphins that lower stress and increase [[11]] __happiness. Choir__ singing fulfills humans by letting them create art while being part of a group.","passageTitle":"Preaching to the Choir: the Health Benefits of Singing","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/d4/5f4dbf4653d6.json b/data/questions/46/d4/5f4dbf4653d6.json new file mode 100644 index 0000000000..6626ea3d96 --- /dev/null +++ b/data/questions/46/d4/5f4dbf4653d6.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map line segment $\\overline{RS}$ onto the other line segment below.**\n\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/e7/c01fc3405dbb.json b/data/questions/46/e7/c01fc3405dbb.json new file mode 100644 index 0000000000..b8312d158b --- /dev/null +++ b/data/questions/46/e7/c01fc3405dbb.json @@ -0,0 +1 @@ +{"content":"Max's Department Store receives stuffed bears in boxes that each contain $2$ stuffed bears.\n\n\n\n**Sketch a graph below that represents this relationship.**\n\n\n\n**Which of the following equations could be used to find the number of stuffed animals Max's Department Store receives, $y$, when they receive $3$ boxes?** \n\n[[☃ radio 1]]\n\n**Find $y$.**\n\n$y = $ [[☃ numeric-input 1]]\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\text{Boxes}","\\text{Bears}"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":null}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$\\dfrac{1}{2} = \\dfrac{3}{y}$","correct":true},{"content":"$\\dfrac{1}{2} = \\dfrac{y}{3}$"},{"content":"$\\dfrac{2}{1} = \\dfrac{y}{3}$","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/ec/1bb4ce0cf874.json b/data/questions/46/ec/1bb4ce0cf874.json new file mode 100644 index 0000000000..c01bb6a71d --- /dev/null +++ b/data/questions/46/ec/1bb4ce0cf874.json @@ -0,0 +1 @@ +{"content":"Match the segment to the dotted segment in the background.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[3,8],[8,8]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"labels":["x","y"],"lockedFigures":[{"color":"green","coord":[-8,9],"filled":true,"type":"point"},{"color":"blue","kind":"segment","lineStyle":"dashed","points":[{"color":"blue","coord":[3,8],"filled":true,"type":"point"},{"color":"blue","coord":[8,8],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"angle":0,"center":[0,2],"color":"purple","fillStyle":"none","radius":[1,1],"strokeStyle":"solid","type":"ellipse"},{"color":"pink","points":[[-2,-2],[-4,-4]],"type":"vector"},{"color":"orange","fillStyle":"none","points":[[5,-3],[4,-5],[6,-5]],"showVertices":false,"strokeStyle":"solid","type":"polygon"}],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/f0/a23651487e88.json b/data/questions/46/f0/a23651487e88.json new file mode 100644 index 0000000000..1a52d2e122 --- /dev/null +++ b/data/questions/46/f0/a23651487e88.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about the origin $(0,0)$ with a scale factor of $4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1ffc29074a7208c1cc4c0f6de72ac9b875be6238","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[4,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/f1/39e6283f237d.json b/data/questions/46/f1/39e6283f237d.json new file mode 100644 index 0000000000..dbd1c774e8 --- /dev/null +++ b/data/questions/46/f1/39e6283f237d.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to locate their new home halfway between Fairview and Salem. Fairview is located at $(1.5,2)$ on the grid shown below. Salem is located at $(3.5,4)$. \n\n**Where should the shelter locate itself?** \n([[☃ input-number 1]],[[☃ input-number 2]])\n\n**Plot both towns and the shelter on the map.**\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3.5,4],[1.5,2],[2.5,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[0.5,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/f5/585af39ec9c6.json b/data/questions/46/f5/585af39ec9c6.json new file mode 100644 index 0000000000..78f7751b22 --- /dev/null +++ b/data/questions/46/f5/585af39ec9c6.json @@ -0,0 +1 @@ +{"content":"**Use the following coordinate plane to write the ordered pair for each point.** \n\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/851a5c523da8ebcb89eb2cd9bea6b929ac3ccc68)\n\nPoint | Ordered pair\n- | - \n$\\green{A}$ | $($ [[☃ numeric-input 1]] , [[☃ numeric-input 2]] $)$\n$\\purple{B}$| $($ [[☃ numeric-input 3]] , [[☃ numeric-input 4]] $)$\n$\\blue{C}$| $($ [[☃ numeric-input 5]] , [[☃ numeric-input 6]] $)$\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/851a5c523da8ebcb89eb2cd9bea6b929ac3ccc68":{"height":425,"width":440}},"widgets":{"interaction 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2ad3944ccf689e0fede489fc8a813e17191911a7","width":400},"correct":{"coords":[[[3,2],[5,6]],[[3,2],[-1,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/46/ff/0f0da7b6637e.json b/data/questions/46/ff/0f0da7b6637e.json new file mode 100644 index 0000000000..494e9727ff --- /dev/null +++ b/data/questions/46/ff/0f0da7b6637e.json @@ -0,0 +1 @@ +{"content":"**Construct a $10^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/489d2f6dcbd3c6752a8a0460a1d0f51657ec11e2.png":{"height":197,"width":371},"https://ka-perseus-images.s3.amazonaws.com/a0978055414ef8a13fc5b22a76e83614cf19381f.png":{"height":78,"width":216}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.559354702894409,4.6648524807823755]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/01/ed2ddd80949a.json b/data/questions/47/01/ed2ddd80949a.json new file mode 100644 index 0000000000..69d0c58cbb --- /dev/null +++ b/data/questions/47/01/ed2ddd80949a.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $PALM$ after the rotation $R_{-90^\\circ}$ about the point $(-4,2)$.** \nNegative rotations are clockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ece7ccb66558e3dc56d878138b4523d123a92dbd.png","width":425},"correct":{"coords":[[0,-9],[-1,-6],[-5,-5],[-9,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/47/06/26bc4c029151.json b/data/questions/47/06/26bc4c029151.json new file mode 100644 index 0000000000..1eabebacb8 --- /dev/null +++ b/data/questions/47/06/26bc4c029151.json @@ -0,0 +1 @@ +{"content":"**Graph $3x+4y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/0d/4e1b80ad5204.json b/data/questions/47/0d/4e1b80ad5204.json new file mode 100644 index 0000000000..c2d6dca7ac --- /dev/null +++ b/data/questions/47/0d/4e1b80ad5204.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/10/440431256199.json b/data/questions/47/10/440431256199.json new file mode 100644 index 0000000000..1f7aa97e28 --- /dev/null +++ b/data/questions/47/10/440431256199.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=3x^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[0,1],[1,4]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/14/5b68624d86fe.json b/data/questions/47/14/5b68624d86fe.json new file mode 100644 index 0000000000..f40b89395c --- /dev/null +++ b/data/questions/47/14/5b68624d86fe.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebfe60eb69251f2e94646716bfae9426f843287b","width":425},"correct":{"coords":[[2,1],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/19/5f0890f52864.json b/data/questions/47/19/5f0890f52864.json new file mode 100644 index 0000000000..addae3e270 --- /dev/null +++ b/data/questions/47/19/5f0890f52864.json @@ -0,0 +1 @@ +{"content":"A system of two linear equations is graphed below.\n\n**Approximate the solution of the system.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/b43767d840225534f46becdc55d4bcf79a8cd70c)","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b43767d840225534f46becdc55d4bcf79a8cd70c":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":"Image must be smaller than 450px x 450px."}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,-4]],[[0,-3],[1,-4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":6.25}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":0.75}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"simulator 1":{"graded":true,"options":{"numTrials":100,"proportionLabel":"Underlying proportion","proportionOrPercentage":"proportion","xAxisLabel":"Proportion (%)","yAxisLabel":"Number of times seen"},"type":"simulator","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/2d/f99ca54fc8dc.json b/data/questions/47/2d/f99ca54fc8dc.json new file mode 100644 index 0000000000..1996275a31 --- /dev/null +++ b/data/questions/47/2d/f99ca54fc8dc.json @@ -0,0 +1 @@ +{"content":"[Q1] Graph the equation $y=x+1$.\n\n[[☃ interactive-graph 2]]\n\nHere is what it should look like:\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"none"},"graph":{"type":"none"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"line","lineStyle":"solid","points":[{"color":"grayH","coord":[0,1],"filled":true,"type":"point"},{"color":"grayH","coord":[2,3],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/30/fb89bd3d0071.json b/data/questions/47/30/fb89bd3d0071.json new file mode 100644 index 0000000000..38fcd63733 --- /dev/null +++ b/data/questions/47/30/fb89bd3d0071.json @@ -0,0 +1 @@ +{"content":"crwdns6546720:0crwdne6546720:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,5],[9,5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/3e/6fddd45944f7.json b/data/questions/47/3e/6fddd45944f7.json new file mode 100644 index 0000000000..9187c679ad --- /dev/null +++ b/data/questions/47/3e/6fddd45944f7.json @@ -0,0 +1 @@ +{"content":"Joel looks at a map of Colorado, scowls, and tears it to shreds. \"I don't need this lousy map,\" he mutters, puffing out his chest and continuing his journey through the wilderness.\n\nBefore he destroyed it, Joel's map showed an outline of Colorado, a rectangular state with dimensions $600\\text{ km}$ by $450\\text{ km}$.\n\n**Move points to recreate Joel's map of Colorado on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/45468f3b7b080112c33b84bbc60fd50238d4dfbc.png","width":400},"correct":{"coords":[[5,-2],[5,7],[-7,7],[-7,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/54/7166181dc953.json b/data/questions/47/54/7166181dc953.json new file mode 100644 index 0000000000..ea8b222bd2 --- /dev/null +++ b/data/questions/47/54/7166181dc953.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $4$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,4],[2,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/5d/803321cec84d.json b/data/questions/47/5d/803321cec84d.json new file mode 100644 index 0000000000..80ca1e8324 --- /dev/null +++ b/data/questions/47/5d/803321cec84d.json @@ -0,0 +1 @@ +{"content":"Graph the following system of inequalities:\n\n$\\qquad y \\leq 2x+1$\n\n$\\qquad 8x-2y<10$\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side buttons for both inequalities* \n\n*Solid/dashed line buttons for both inequalities*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(-2,-7)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false,"clue":"Be careful to shade the correct sides!"}],"randomize":false,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1,1],[0,6]]}},"version":{"major":0,"minor":0}},"dropdown 1":{"type":"dropdown","graded":true,"options":{"placeholder":"","choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":0.5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/5f/929ba431676d.json b/data/questions/47/5f/929ba431676d.json new file mode 100644 index 0000000000..741ee7f66f --- /dev/null +++ b/data/questions/47/5f/929ba431676d.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -2x-4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[0,-4],[1,-6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/6d/c429ba5e343c.json b/data/questions/47/6d/c429ba5e343c.json new file mode 100644 index 0000000000..c4d396ac90 --- /dev/null +++ b/data/questions/47/6d/c429ba5e343c.json @@ -0,0 +1 @@ +{"content":"**Construct a $25^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[4.288969718228789,6.125283554065734]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/70/f0183e413654.json b/data/questions/47/70/f0183e413654.json new file mode 100644 index 0000000000..7674584385 --- /dev/null +++ b/data/questions/47/70/f0183e413654.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93849294999d51d850b8168712294e8399b89e80","width":425},"correct":{"coords":[[2,1],[0,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/7c/21d5b70c6fb1.json b/data/questions/47/7c/21d5b70c6fb1.json new file mode 100644 index 0000000000..7ab625dc30 --- /dev/null +++ b/data/questions/47/7c/21d5b70c6fb1.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3c250500dba247114f98a335d28f21f4a0516764","width":430},"correct":{"coords":[[2,-8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/82/ae4b28963994.json b/data/questions/47/82/ae4b28963994.json new file mode 100644 index 0000000000..71c75bf180 --- /dev/null +++ b/data/questions/47/82/ae4b28963994.json @@ -0,0 +1 @@ +{"content":"The $4$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n**Based only on these $4$ points, plot the $4$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/86d4028e34698417f5f325ef4062585be7f1733a.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-6,29],[-6,29]],"gridStep":[2,2],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,1],[1,3],[2,9],[3,27]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/84/eda65de2f46f.json b/data/questions/47/84/eda65de2f46f.json new file mode 100644 index 0000000000..9b421a84b2 --- /dev/null +++ b/data/questions/47/84/eda65de2f46f.json @@ -0,0 +1 @@ +{"content":"crwdns4242792:0$20$crwdne4242792:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"height":425,"width":440}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,3],[4,7],[-1,7],[-1,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/89/1e66a71cceff.json b/data/questions/47/89/1e66a71cceff.json new file mode 100644 index 0000000000..bf8c0fc064 --- /dev/null +++ b/data/questions/47/89/1e66a71cceff.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units left and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c3e590ad15ee46b2fe95486be103cab09152da72","width":425},"correct":{"coords":[[1,-7],[-3,1],[-7,-1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/89/7f25e547fc17.json b/data/questions/47/89/7f25e547fc17.json new file mode 100644 index 0000000000..9e80948fd3 --- /dev/null +++ b/data/questions/47/89/7f25e547fc17.json @@ -0,0 +1 @@ +{"content":"crwdns5558119:0$ycrwdnd5558119:0{1}crwdnd5558119:0{4}crwdne5558119:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,1],[4,-6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/8a/f35b1b9851a3.json b/data/questions/47/8a/f35b1b9851a3.json new file mode 100644 index 0000000000..25777c40ec --- /dev/null +++ b/data/questions/47/8a/f35b1b9851a3.json @@ -0,0 +1 @@ +{"content":"see that \\small issue in the editor? Note: if you set the widget into points mode (bottom dropdown), the user is unable to select the number of points.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/92/d7566f8024ba.json b/data/questions/47/92/d7566f8024ba.json new file mode 100644 index 0000000000..cec0e880d7 --- /dev/null +++ b/data/questions/47/92/d7566f8024ba.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{3}x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[3,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□ □□□□□□□□ □□□□□□□□□□ □ □□□□□□□□□□□□ □□□□□□□□□□□□.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $\\dfrac{2}{3}$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{2}{3}$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $2$ units in $y$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $1$ unit in $y$.","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/47/98/a18471044cb4.json b/data/questions/47/98/a18471044cb4.json new file mode 100644 index 0000000000..2dd5940978 --- /dev/null +++ b/data/questions/47/98/a18471044cb4.json @@ -0,0 +1 @@ +{"content":"Yuna's favorite type of cheese crackers has $30$ crackers for each serving.\n\n**Complete the table for the given ratio.** \n \nServings, $x$ | Crackers, $y$ \n:-: | :-: \n$1$ | $30$\n$2$| [[☃ numeric-input 3]]\n$3$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,30],[2,60],[3,90]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-2,95]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":60}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":90}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/a1/46e641df1e78.json b/data/questions/47/a1/46e641df1e78.json new file mode 100644 index 0000000000..39aadbfcd0 --- /dev/null +++ b/data/questions/47/a1/46e641df1e78.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n\n=====\n\nThe lines $f$ and $g$ are graphed at left in the $xy$-plane. Line $g$ can be written as the equation $y = ax + b$, where $a$ and $b$ are constants. Which of the following equations represents line $f$?\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc":{"height":425,"width":425},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c1587151dba95c3c8ca0d79b4857ae7856a8a4fc":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"graded":true,"options":{"alt":"ŤŢĥȟíìśŝ ĝǧŕřáàṕṗĥȟ ćĉóòńňťțáàíìńňśŝ ťțẃẁóò ĺľíìńňéèśŝ, ḟ áàńňďđ ĝǧ, íìńň ťțĥȟéè 'ẍẋý'-ṕṗĺľáàńňéè. ḟ ĝǧóòéèśŝ ťțĥȟŕřóòúùĝǧĥȟ ťțĥȟéè ṕṗóòíìńňťțśŝ ńňéèĝǧáàťțíìṽṿéè 1 ćĉóòḿṁḿṁáà 5 áàńňďđ 9 ćĉóòḿṁḿṁáà ńňéèĝǧáàťțíìṽṿéè 2. ĝǧ ĝǧóòéèśŝ ťțĥȟŕřóòúùĝǧĥȟ ťțĥȟéè ṕṗóòíìńňťțśŝ ńňéèĝǧáàťțíìṽṿéè 1 ćĉóòḿṁḿṁáà ńňéèĝǧáàťțíìṽṿéè 5 áàńňďđ 9 ćĉóòḿṁḿṁáà 2. ŤŢĥȟéè ťțẃẁóò ĺľíìńňéèśŝ ćĉŕřóòśŝśŝ óòńň ťțĥȟéè ẍẋ áàẍẋíìśŝ ƀḃéèťțẃẁéèéèńň 6 áàńňďđ 7.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"title":""},"type":"image","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"ŤŢĥȟíìśŝ éèʠúùáàťțíìóòńň ŕřéèṕṗŕřéèśŝéèńňťțśŝ áà ĺľíìńňéè ẃẁíìťțĥȟ ťțĥȟéè śŝáàḿṁéè śŝĺľóòṕṗéè áàśŝ ťțĥȟéè óòŕříìĝǧíìńňáàĺľ.","content":"$y = ax - b$","correct":false},{"clue":"This equation represents a line with the same $y$-intercept as the original.","content":"$y = -ax + b$","correct":false},{"content":"$-y = ax + b$","correct":true},{"clue":"This equation represents a line that has slope $\\dfrac 1a$ . This has the same sign as $a$, but the two lines given have slopes that are opposite in sign.","content":"$x = ay + b$","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/47/bc/0d153dd574e7.json b/data/questions/47/bc/0d153dd574e7.json new file mode 100644 index 0000000000..b62e11e3a9 --- /dev/null +++ b/data/questions/47/bc/0d153dd574e7.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x -12y +76=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[7,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/c9/f96f93f6f7b7.json b/data/questions/47/c9/f96f93f6f7b7.json new file mode 100644 index 0000000000..9d4ffad039 --- /dev/null +++ b/data/questions/47/c9/f96f93f6f7b7.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/493bfd6353b9dd96b9c6260ef08a1cae7dcfe6ab","width":400},"correct":{"coords":[[-8,-7],[7,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/ca/2a8ff58f248f.json b/data/questions/47/ca/2a8ff58f248f.json new file mode 100644 index 0000000000..54c372d4c5 --- /dev/null +++ b/data/questions/47/ca/2a8ff58f248f.json @@ -0,0 +1 @@ +{"content":"crwdns3897510:0crwdne3897510:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2b614d8edb8dd56b81b5e2e174f0d77dad9e18b5","width":425},"correct":{"coords":[[5,-6],[-3,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/d3/c0d6923be8ec.json b/data/questions/47/d3/c0d6923be8ec.json new file mode 100644 index 0000000000..e5f56ac932 --- /dev/null +++ b/data/questions/47/d3/c0d6923be8ec.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=5\\log_3(-x)-5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[0,-10],[0,10]],"coords":[[-1,-5],[-3,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/d5/7f968defd11a.json b/data/questions/47/d5/7f968defd11a.json new file mode 100644 index 0000000000..b2ca608947 --- /dev/null +++ b/data/questions/47/d5/7f968defd11a.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=2x^2-10x+5.5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[2.5,-7],[0,5.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/e3/1a3b7c6cc81c.json b/data/questions/47/e3/1a3b7c6cc81c.json new file mode 100644 index 0000000000..633979f47b --- /dev/null +++ b/data/questions/47/e3/1a3b7c6cc81c.json @@ -0,0 +1 @@ +{"content":"crwdns3049605:0crwdne3049605:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,7],[5,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"crwdns3881777:0crwdne3881777:0","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/e4/90395f4d1eb3.json b/data/questions/47/e4/90395f4d1eb3.json new file mode 100644 index 0000000000..2f3e053bb8 --- /dev/null +++ b/data/questions/47/e4/90395f4d1eb3.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(9,5)$ and $(3,5)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[3,5],[9,5]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":6,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/f1/d3d35706f6c3.json b/data/questions/47/f1/d3d35706f6c3.json new file mode 100644 index 0000000000..507bd6835f --- /dev/null +++ b/data/questions/47/f1/d3d35706f6c3.json @@ -0,0 +1 @@ +{"content":"crwdns6544049:0crwdne6544049:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/47/fd/c937665ce780.json b/data/questions/47/fd/c937665ce780.json new file mode 100644 index 0000000000..5b3a2114fb --- /dev/null +++ b/data/questions/47/fd/c937665ce780.json @@ -0,0 +1 @@ +{"content":"Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $10\\text{ m}$ and height $15\\text{ m}$.\n\n**Draw the garden such that $1$ unit on the grid below represents $ 2\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[11,6],[6,13.5],[6,6]],"match":"congruent","numSides":3,"showSides":true,"type":"polygon"},"graph":{"numSides":3,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/02/00e193ced73d.json b/data/questions/48/02/00e193ced73d.json new file mode 100644 index 0000000000..4c0b55a689 --- /dev/null +++ b/data/questions/48/02/00e193ced73d.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=-3+2i$ \n* $ w=3-2i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]].\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7.2},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[-6,4],[0,0],[-3,2],[3,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/13/0237e8a1ac78.json b/data/questions/48/13/0237e8a1ac78.json new file mode 100644 index 0000000000..3ba0e46936 --- /dev/null +++ b/data/questions/48/13/0237e8a1ac78.json @@ -0,0 +1 @@ +{"content":"crwdns4070486:0$ycrwdnd4070486:0{1}crwdnd4070486:0{4}crwdne4070486:0","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,4],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/18/b9bcfdd4ff9f.json b/data/questions/48/18/b9bcfdd4ff9f.json new file mode 100644 index 0000000000..bf4bd8acd3 --- /dev/null +++ b/data/questions/48/18/b9bcfdd4ff9f.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+2)^2+(y-6)^2=9$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/24/ac6796bcfd11.json b/data/questions/48/24/ac6796bcfd11.json new file mode 100644 index 0000000000..505bc0f902 --- /dev/null +++ b/data/questions/48/24/ac6796bcfd11.json @@ -0,0 +1 @@ +{"content":"crwdns4138521:0crwdne4138521:0","images":{},"widgets":{"grapher 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9":{"graded":true,"options":{"content":"crwdns3511238:0crwdne3511238:0","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGbugoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns4154598:0crwdne4154598:0","correct":false},{"content":"reporting that they were suffering from clinical depression.\n","correct":false},{"content":"suffering from clinical depression by the end of that year.\n","correct":false},{"content":"clinically depressed.","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"passage 1":{"graded":true,"options":{"footnotes":"","passageText":"[1] In 2013, 32.5 million adults in the United States, roughly 10 percent of the population, sang in choirs, and England is home to more than 3,000 active choral groups. [2] Choir singing is a popular pastime. [3] These singers often report an increased sense of well-being and camaraderie, but does this hobby actually result in better health? [4] According to multiple scientific studies, singing--especially with others--provides concrete benefits to heart and brain health. [[1]]\n \nA 2013 study at Sweden’s University of Gothenburg examined the heart rates of 18 young people as they sang and hummed [[2]] __for__ unison. Heart rate variability (HRV), the increase and decrease in heart rate, occurred simultaneously with subjects’ slowed breathing while singing. This combination of fluctuating heart rate and slowed breathing [[3]] __are__ called respiratory sinus arrhythmia (RSA), and it has been proven to reduce the likelihood of cardiovascular [[4]] __disease a prior finding independent of the 2013 study.__ One interesting finding from this study is that the subjects’ heartbeats synchronized while they sang together. This may be a factor in choir singers’ reported feelings of happiness and bonding.\n \n[[5]] __People feel a keen sense of bonding when they sing together.__ Singing stimulates the right temporal lobe of the brain and releases [[6]] __endorphins. Endorphins blunt__ pain and engender feelings of pleasure. Cortisol, a hormonal reaction to stress and the secretion of which the brain controls, decreases after choir singing. Meanwhile, oxytocin, which the brain interprets as a feeling of emotional bonding, is increased. In a study at Oxford Brookes University, researchers surveyed 375 people who either sang alone, sang in a choir, or participated in organized sports. Those who sang in choir reported the highest levels of happiness. [[7]] __Due to__ its positive side effects, therapists have used choir singing as [[8]] __an element__ for those dealing with depression and chronic pain. A study from an arts and health research center in Canterbury, England, followed the progress of patients diagnosed with depression for a year after they joined a choir. Sixty percent of patients reported improved mental health at the end of that year, and some were no longer [[9]] __experiencing suffering from clinical depression.__\n \n[[10]] From the changes in heartbeat and breathing that result in a healthier heart, to the reduction of cortisol and production of endorphins that lower stress and increase [[11]] __happiness. Choir__ singing fulfills humans by letting them create art while being part of a group.","passageTitle":"Preaching to the Choir: the Health Benefits of Singing","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/28/a50b34387ac7.json b/data/questions/48/28/a50b34387ac7.json new file mode 100644 index 0000000000..8619595929 --- /dev/null +++ b/data/questions/48/28/a50b34387ac7.json @@ -0,0 +1 @@ +{"content":"Laurent rides his bike while he delivers meals every day.\n\nHe recorded the total weight of the meals (grams) he delivered and how far (in kilometers) he rode his bike for five delivery trips.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Weight (g)** | $600$ | $450$ | $350$ | $500$ | $250$\n**Distance (km)** | $9$ | $7$ | $5$ | $6$ | $4$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"box":[288,288],"correct":{"coords":[[600,9],[450,7],[350,5],[500,6],[250,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[50,0.5],"labels":["$\\text{Weight}$","$\\text{Distance}$"],"markings":"graph","range":[[-25,750],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[50,0.25],"step":[100,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/41/2f703c3e6748.json b/data/questions/48/41/2f703c3e6748.json new file mode 100644 index 0000000000..21445bbc6c --- /dev/null +++ b/data/questions/48/41/2f703c3e6748.json @@ -0,0 +1 @@ +{"content":"Malaya has $4$ books checked out from the library. In the graph below, the variable $b$ represents the number of books Malaya decides to check out on her next library visit (she doesn't return any). The variable $t$ represents the total number of books Malaya has checked out from the library. \n\nThe relationship between these two variables can be expressed by the following equation:\n\n$t = 4+b$\n\n**Plot points on the graph that show the total number of books Malaya will have checked out from the library if she gets $2$ books or $5$ books on her next library visit.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/0adc33600dd34f0872764782894f8f4412e6c200.png":{"height":417,"width":652},"https://ka-perseus-images.s3.amazonaws.com/186d5ac5700527aa67212626c5c5a5e85f5b2294.png":{"height":346,"width":638},"https://ka-perseus-images.s3.amazonaws.com/9414326460bfa10add9710ab23911ba7ed6d78b2.png":{"height":202,"width":395}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,6],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\ťțéèẍẋťț{ŃŇéèẃẁ ƀḃóòóòķḱśŝ}","\\ťțéèẍẋťț{ŤŢóòťțáàĺľ ƀḃóòóòķḱśŝ}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/4a/e48e05bb5e6a.json b/data/questions/48/4a/e48e05bb5e6a.json new file mode 100644 index 0000000000..92aec1976b --- /dev/null +++ b/data/questions/48/4a/e48e05bb5e6a.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $6$ units in $t$ corresponds to an increase of $7$ units in $d$.\n\n **What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the line.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.1666666666666667"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[6,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/50/95ef41743b37.json b/data/questions/48/50/95ef41743b37.json new file mode 100644 index 0000000000..4c0b4ae730 --- /dev/null +++ b/data/questions/48/50/95ef41743b37.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+4y-60=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-2],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/56/3aa543e42664.json b/data/questions/48/56/3aa543e42664.json new file mode 100644 index 0000000000..bdc0ee036a --- /dev/null +++ b/data/questions/48/56/3aa543e42664.json @@ -0,0 +1 @@ +{"content":"**On the graph below, use the two points to draw a line through the point $(3,4)$ that will create a system of equations with *no* solutions.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/dbaaf803237837708d2af12895b03b1c5d1ac55f.png","width":425},"correct":{"coords":[[-2,-6],[3,4]],"type":"linear"},"graph":{"type":"linear"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/48/63/a8a80c397afb.json b/data/questions/48/63/a8a80c397afb.json new file mode 100644 index 0000000000..ee87a5524e --- /dev/null +++ b/data/questions/48/63/a8a80c397afb.json @@ -0,0 +1 @@ +{"content":"crwdns3209060:0$HAWK$crwdnd3209060:0$x$crwdne3209060:0","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/7bf76c6d6b175bb2cb09b3f29581e80a88ddffdf.png","width":425},"correct":{"coords":[[-4,3],[-6,4],[2,7],[4,5]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/48/70/8360c40a9fb5.json b/data/questions/48/70/8360c40a9fb5.json new file mode 100644 index 0000000000..f6a435a019 --- /dev/null +++ b/data/questions/48/70/8360c40a9fb5.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{1}{4}x^2-2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-4],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/70/ab04e96b41f3.json b/data/questions/48/70/ab04e96b41f3.json new file mode 100644 index 0000000000..fd440cd3c2 --- /dev/null +++ b/data/questions/48/70/ab04e96b41f3.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=2+2i$ \n* $ w=-2- 2i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]].\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5.7},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[2,2],[4,4],[-2,-2],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/80/f30420e5e7b5.json b/data/questions/48/80/f30420e5e7b5.json new file mode 100644 index 0000000000..960cfe3288 --- /dev/null +++ b/data/questions/48/80/f30420e5e7b5.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of hours before or after noon. For example, $-1$ would represent $11 \\text{ a.m.}$ The $y$-axis represents the temperature in degrees Celsius. The points $(-1, 6)$ and $(7,6)$ represent two temperatures at different times of the day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many hours pass between the two temperatures shown?** \n\n[[☃ input-number 1]] hours\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-1,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□ (\\□□□□{□□□□□})","□ (^\\□□□□\\□□□□{□})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/85/4249222e174b.json b/data/questions/48/85/4249222e174b.json new file mode 100644 index 0000000000..ba81f19b3c --- /dev/null +++ b/data/questions/48/85/4249222e174b.json @@ -0,0 +1 @@ +{"content":"The number of hours since sunrise and the water level at the coast of Tasmania (in meters above sea level) was measured for several days.\n \n**Plot the data in a scatter plot.** \n\n\n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | \n**Day** | $1$ | $2$ | $3$ | $4$ | $5$ | $6$ \n**Hours** | $3$ | $2$ | $1$ | $0$ | $2.5$ | $3.5$ \n**Height (meters)** | $-0.4$ | $0.1$ | $0.2$ | $0.5$ | $-0.3$ | $-0.5$ \n\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,-0.4],[2,0.1],[1,0.2],[0,0.5],[2.5,-0.30000000000000004],[3.5,-0.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.1],"labels":["$\\text{Hours}$","$\\text{Height}$"],"markings":"graph","range":[[-0.5,5],[-0.6,0.6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.05],"step":[0.5,0.2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/8a/78eb8048b317.json b/data/questions/48/8a/78eb8048b317.json new file mode 100644 index 0000000000..ef232e69aa --- /dev/null +++ b/data/questions/48/8a/78eb8048b317.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a96d3b202632c76e435d5271e691e7088a8975c","width":425},"correct":{"coords":[[-4,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/8f/46c48dceac09.json b/data/questions/48/8f/46c48dceac09.json new file mode 100644 index 0000000000..ff8c40e469 --- /dev/null +++ b/data/questions/48/8f/46c48dceac09.json @@ -0,0 +1 @@ +{"content":"Aidan is participating in an $8$-mile walk for his favorite charity. The walk organizers plotted the course on a coordinate map. The starting point is at $(3,1)$, and the ending point is at $(3,9)$. There's a water station at $(3,7)$ to make sure the walkers stay hydrated.\n\n**Plot the starting point, ending point, and water station on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Aidan be in the walk when he reaches the water station?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[3,1],[3,7],[3,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Less than halfway through the walk","correct":false},{"content":"Halfway through the walk","correct":false},{"content":"More than halfway through the walk","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/48/9b/4cadf038dedc.json b/data/questions/48/9b/4cadf038dedc.json new file mode 100644 index 0000000000..8de751438b --- /dev/null +++ b/data/questions/48/9b/4cadf038dedc.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=3x-4\n\\\\\\\\\ny=2x\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,12]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,1],"coords":[[[-1,-7],[0,-4]],[[0,0],[2,4]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/ab/40bb75bbad32.json b/data/questions/48/ab/40bb75bbad32.json new file mode 100644 index 0000000000..e5a5031c1c --- /dev/null +++ b/data/questions/48/ab/40bb75bbad32.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $20$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[2,-1],[2,3],[-3,3],[-3,-1]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/b8/1c0a1a631678.json b/data/questions/48/b8/1c0a1a631678.json new file mode 100644 index 0000000000..362373fc73 --- /dev/null +++ b/data/questions/48/b8/1c0a1a631678.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3+5x^2-2x-5$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-1,0],[1,0],[-2.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/ce/52fb6dba0005.json b/data/questions/48/ce/52fb6dba0005.json new file mode 100644 index 0000000000..6c7579a322 --- /dev/null +++ b/data/questions/48/ce/52fb6dba0005.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 1-8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,-8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/db/e4b99a0d842b.json b/data/questions/48/db/e4b99a0d842b.json new file mode 100644 index 0000000000..7af2cd63a0 --- /dev/null +++ b/data/questions/48/db/e4b99a0d842b.json @@ -0,0 +1 @@ +{"content":"crwdns3898362:0$ycrwdne3898362:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,7],[1,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/48/f4/31ea34b02cc3.json b/data/questions/48/f4/31ea34b02cc3.json new file mode 100644 index 0000000000..2c85c866c9 --- /dev/null +++ b/data/questions/48/f4/31ea34b02cc3.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of days after today, and the $y$-axis represents the temperature forecast in degrees Celsius. The points $(3,7)$ and $(3,-3)$ represent the high and low temperature forecasts of the same day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**What is the difference between the high and the low temperature forecasts?** \n\n[[☃ input-number 1]] degrees Celsius\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,-3],[3,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[0.5,1],"labels":["x (\\text{days})","y (^\\circ\\text{C})"],"markings":"graph","range":[[-2,8],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/05/0abc460312f1.json b/data/questions/49/05/0abc460312f1.json new file mode 100644 index 0000000000..2d9613159b --- /dev/null +++ b/data/questions/49/05/0abc460312f1.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ac61fc52c3a3c933a746d42d13767a67bb2ebf9d","width":425},"correct":{"coords":[[-5,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/21/1c65fd1c5750.json b/data/questions/49/21/1c65fd1c5750.json new file mode 100644 index 0000000000..3870e7f251 --- /dev/null +++ b/data/questions/49/21/1c65fd1c5750.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-8,8)$, and the upper-right coordinates are $(-3,8)$. The rectangle has an area of $15$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-3,5],[-3,8],[-8,8],[-8,5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/24/5779d3c763ac.json b/data/questions/49/24/5779d3c763ac.json new file mode 100644 index 0000000000..66a4886eae --- /dev/null +++ b/data/questions/49/24/5779d3c763ac.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{5}x^2-2x-6$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-1],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/28/d2bd0582c5cc.json b/data/questions/49/28/d2bd0582c5cc.json new file mode 100644 index 0000000000..7721497d4e --- /dev/null +++ b/data/questions/49/28/d2bd0582c5cc.json @@ -0,0 +1 @@ +{"content":"crwdns3897491:0crwdne3897491:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/907d5c369085716adb7069534d84c22f2159c974","width":425},"correct":{"coords":[[-1,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/35/0d0100149181.json b/data/questions/49/35/0d0100149181.json new file mode 100644 index 0000000000..df52d609d3 --- /dev/null +++ b/data/questions/49/35/0d0100149181.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\sin\\left(\\dfrac{\\pi}{4} x+\\dfrac{3\\pi}{4}\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3,2],[-1,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/44/d6f15a679daf.json b/data/questions/49/44/d6f15a679daf.json new file mode 100644 index 0000000000..72dbb357ed --- /dev/null +++ b/data/questions/49/44/d6f15a679daf.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c7da179f658f4817a2d42e65ed6eb023160ce3a","width":430},"correct":{"coords":[[9,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/49/fdfc5fde60ad.json b/data/questions/49/49/fdfc5fde60ad.json new file mode 100644 index 0000000000..f85c1bfe80 --- /dev/null +++ b/data/questions/49/49/fdfc5fde60ad.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an acute angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n \n\n[[☃ interactive-graph 1]]\n\nThis is an acute angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":false},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/a1d82df394366eafd3bf464eaf37869546354d0d.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-2.4714051893622173,-5.4714051893621996],[6,3],[5.999999999999998,-7.001556972217481]],"snapDegrees":2.3684210526315788,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":2.3684210526315788,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/5a/1eb3a763b3e2.json b/data/questions/49/5a/1eb3a763b3e2.json new file mode 100644 index 0000000000..9c6df7f35a --- /dev/null +++ b/data/questions/49/5a/1eb3a763b3e2.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(2,-6)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(2,-6)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"First quadrant ","correct":false},{"content":"Second quadrant ","correct":false},{"content":"Third quadrant","correct":false},{"content":"Fourth quadrant","correct":true},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/49/79/b912a470d56f.json b/data/questions/49/79/b912a470d56f.json new file mode 100644 index 0000000000..ad4c056251 --- /dev/null +++ b/data/questions/49/79/b912a470d56f.json @@ -0,0 +1 @@ +{"content":"The cost to park in the downtown parking lot depends on the number of hours you park your car for. \n\n| | ||\n- | :-: | :-:| :-:| :-:\nHours parked | $1$ | $5$| $12$ \nCost (in dollars) | $4$ | $10$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the cost of parking proportional to the number of hours parked?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,4],[5,10],[12,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Hours}$","$\\text{Cost}$"],"markings":"graph","range":[[-2,22],[-2,22]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□","correct":false},{"content":"□□","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/49/8b/61d034633d9c.json b/data/questions/49/8b/61d034633d9c.json new file mode 100644 index 0000000000..9aa32dc7d1 --- /dev/null +++ b/data/questions/49/8b/61d034633d9c.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0bb4a183e2c1692a7dce35914fc63c3d9b74fb15","width":425},"correct":{"coords":[[2,-3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/92/2df560f937d5.json b/data/questions/49/92/2df560f937d5.json new file mode 100644 index 0000000000..0732305585 --- /dev/null +++ b/data/questions/49/92/2df560f937d5.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $EARN$ is rotated $180^\\circ$ about the point $(-4,-1)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e617a874c90b0d9be0b2754de38f288d6524bece","width":425},"correct":{"coords":[[-9,4],[-2,6],[-1,4],[-4,2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/a8/85992eea8bb1.json b/data/questions/49/a8/85992eea8bb1.json new file mode 100644 index 0000000000..e9d257b912 --- /dev/null +++ b/data/questions/49/a8/85992eea8bb1.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $5$ units in $t$ corresponds to an increase of $2$ units in $d$.\n \n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the line.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.4},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/ad/75617096d8fc.json b/data/questions/49/ad/75617096d8fc.json new file mode 100644 index 0000000000..5eada6da43 --- /dev/null +++ b/data/questions/49/ad/75617096d8fc.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक ऐसा चतुर्भुज (quadrilateral) बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−4,9), (-8,9), (−9,7), (−9,4)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-4,9],[-8,9],[-9,7],[-9,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/49/b9/c1035e1f9db3.json b/data/questions/49/b9/c1035e1f9db3.json new file mode 100644 index 0000000000..38790a266a --- /dev/null +++ b/data/questions/49/b9/c1035e1f9db3.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2\\cdot \\left(\\dfrac13\\right)^{x+2}-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-1],[10,-1]],"coords":[[-3,5],[-2,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/c0/09a7195cf740.json b/data/questions/49/c0/09a7195cf740.json new file mode 100644 index 0000000000..4082c9dcce --- /dev/null +++ b/data/questions/49/c0/09a7195cf740.json @@ -0,0 +1 @@ +{"content":"crwdns6544067:0crwdne6544067:0","images":{"https://ka-perseus-images.s3.amazonaws.com/0faeb26c6f907159fcdd7be63671c3a8794e9715.png":{"height":179,"width":159},"https://ka-perseus-images.s3.amazonaws.com/5b573582c133c63d725827e4420cd59e53ec9e48.png":{"height":342,"width":367}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-1.3706088693859768,-6.6260358009189515],[0,-9],[-3.0571018814524726,-9]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/c7/d84d28d75c4a.json b/data/questions/49/c7/d84d28d75c4a.json new file mode 100644 index 0000000000..e3ba6aa1c0 --- /dev/null +++ b/data/questions/49/c7/d84d28d75c4a.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(2, 9\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[2,9]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/d0/dbb19471dd90.json b/data/questions/49/d0/dbb19471dd90.json new file mode 100644 index 0000000000..058c2ec87c --- /dev/null +++ b/data/questions/49/d0/dbb19471dd90.json @@ -0,0 +1 @@ +{"content":"Timothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,10],[11,15],[18,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[2,5],"labels":["$\\text{Km}$","$\\text{Minutes}$"],"markings":"graph","range":[[-4,22],[-4,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,5],"step":[2,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/49/d5/1203bf0bb823.json b/data/questions/49/d5/1203bf0bb823.json new file mode 100644 index 0000000000..0f9d344a22 --- /dev/null +++ b/data/questions/49/d5/1203bf0bb823.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+4x+8y+16=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,-4],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/d7/9042315e107f.json b/data/questions/49/d7/9042315e107f.json new file mode 100644 index 0000000000..2acb5b797a --- /dev/null +++ b/data/questions/49/d7/9042315e107f.json @@ -0,0 +1 @@ +{"content":"crwdns3474915:0crwdne3474915:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,2]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/f1/60d328791272.json b/data/questions/49/f1/60d328791272.json new file mode 100644 index 0000000000..5c5a6a7801 --- /dev/null +++ b/data/questions/49/f1/60d328791272.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $14$ units\n\n\n- Its amplitude is $2.5$ units\n\n\n- It intersects its midline at $(4.5,-7)$ and then increases\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4.5,-7],[8,-4.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/49/f5/b5685b5280df.json b/data/questions/49/f5/b5685b5280df.json new file mode 100644 index 0000000000..6d9c14e486 --- /dev/null +++ b/data/questions/49/f5/b5685b5280df.json @@ -0,0 +1 @@ +{"content":"crwdns3074209:0{A}crwdnd3074209:0{B}crwdne3074209:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":true},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":true},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/070961f66d772ef37fa4c644a19a05e8ec3d8b39.png","width":400},"correct":{"coords":[[7,-3],[-7,3]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/07/e74059976ecd.json b/data/questions/4a/07/e74059976ecd.json new file mode 100644 index 0000000000..76695a2903 --- /dev/null +++ b/data/questions/4a/07/e74059976ecd.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{3}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/080a86bfaa4d108e99153a8dfc0606a9943a91bf","width":400},"correct":{"coords":[[2,-5],[5,-1],[1,-2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/14/0d479765c117.json b/data/questions/4a/14/0d479765c117.json new file mode 100644 index 0000000000..feda57e34e --- /dev/null +++ b/data/questions/4a/14/0d479765c117.json @@ -0,0 +1 @@ +{"content":"crwdns6419927:0$pcrwdnd6419927:0$x$crwdne6419927:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[1,0],[3.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/15/6c0b6bff36de.json b/data/questions/4a/15/6c0b6bff36de.json new file mode 100644 index 0000000000..5457c89930 --- /dev/null +++ b/data/questions/4a/15/6c0b6bff36de.json @@ -0,0 +1 @@ +{"content":"The table below shows the relationship between quiz scores and study time (in hours) for each student in Lucas's class. \n\n**Plot the data in a scatter plot.** \n\n|||||||\n:-- | --: | --: | --: | --: | --: | --: |\n**Study time (hours)** | $1.75$ | $1.5$ | $0.5$ | $3$ | $3.25$ | $2$ \n**Score** | $17$ | $15$ | $7$ | $19$ | $20$ | $16$ \n\n\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1.75,17],[1.5,15],[0.5,7],[3,19],[3.25,20],[2,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,1],"labels":["$\\text{Hours}$","$\\text{Score}$"],"markings":"graph","range":[[-0.5,4],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[0.5,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/25/5cf0dc0f9156.json b/data/questions/4a/25/5cf0dc0f9156.json new file mode 100644 index 0000000000..2941fec7b7 --- /dev/null +++ b/data/questions/4a/25/5cf0dc0f9156.json @@ -0,0 +1 @@ +{"content":"The table uses the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $2$\n\nPattern $y$: Starting number: $4$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$ \n[[☃ numeric-input 1]] | $5$ \n$12$ | $6$\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":10}],"coefficient":false,"labelText":"","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/34/3bde9efb0298.json b/data/questions/4a/34/3bde9efb0298.json new file mode 100644 index 0000000000..540ed384c1 --- /dev/null +++ b/data/questions/4a/34/3bde9efb0298.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y= 3x+3}$\n\n$\\qquad\\pink{2y=\\dfrac{2}{3} x+12}$\n\n**Create a new equation by setting the left-hand side of the upper equation equal to the right-hand side of the lower equation.** \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":true},{"content":"is also","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"2/3 x + 12=y"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/cefc9d5f5b0d5b753b4baabc3cd588ee51b335d0.png","width":425},"correct":{"coords":[[-9,6],[-6,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/41/3c5ee8f360ef.json b/data/questions/4a/41/3c5ee8f360ef.json new file mode 100644 index 0000000000..f9b1c0c469 --- /dev/null +++ b/data/questions/4a/41/3c5ee8f360ef.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/236e5ec455b9b95f4596553cdd50ab16b31681d7","width":425},"correct":{"coords":[[-2,-1],[-2,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/43/5331cf1d88ca.json b/data/questions/4a/43/5331cf1d88ca.json new file mode 100644 index 0000000000..1b448d2103 --- /dev/null +++ b/data/questions/4a/43/5331cf1d88ca.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(3,-3)$, and the upper-right coordinates are $(7,-3)$. The rectangle has an area of $16$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[7,-7],[7,-3],[3,-3],[3,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/47/0fcb0ee1e105.json b/data/questions/4a/47/0fcb0ee1e105.json new file mode 100644 index 0000000000..2f4605dd66 --- /dev/null +++ b/data/questions/4a/47/0fcb0ee1e105.json @@ -0,0 +1 @@ +{"content":"A doctor collected data on how many hours children of different ages slept in a day. Data for $5$ participants are shown below.\n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Age (years)** | $1$ | $2$ | $3$ | $5$ | $8$\n**Sleep (hours)** | $13$ | $11$ | $10$ | $9$ | $8$ \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Age}$","$\\text{Sleep}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,11],[-1,15]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,13],[2,11],[3,10],[5,9],[8,8]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/51/79c4fca17b3d.json b/data/questions/4a/51/79c4fca17b3d.json new file mode 100644 index 0000000000..f9ac48a0bd --- /dev/null +++ b/data/questions/4a/51/79c4fca17b3d.json @@ -0,0 +1 @@ +{"content":"Sarah is transferring the drawing below of a triangular roof to a coordinate plane. She plots point $A$ at $(-6, 3)$ and point $B$ at $(-1, 6)$. The length of the base of the roof is $9$ units in length.\n\n**Plot points $A, B,$ and $C$.**\n\n![](https://ka-perseus-graphie.s3.amazonaws.com/22ea0963f6d6d445dc4b7bba2f81694f01bc9003.png) \n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/22ea0963f6d6d445dc4b7bba2f81694f01bc9003.png":{"height":400,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-6,3],[-1,6],[3,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/6a/ec9da1b67316.json b/data/questions/4a/6a/ec9da1b67316.json new file mode 100644 index 0000000000..e508355d95 --- /dev/null +++ b/data/questions/4a/6a/ec9da1b67316.json @@ -0,0 +1 @@ +{"content":"Jose recorded the number of sick days he took and the number of T-shirts he owned over several years.\n\n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:| --:\n**Sick days** | $6$ | $7.5$ | $0.5$ | $3$ | $4$ | $9.5$\n**T-shirts** | $6$ | $7$ | $7$ | $7$ | $5$ | $6$\n \n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6,6],[7.5,7],[0.5,7],[3,7],[4,5],[9.5,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Sick days}$","$\\text{T-shirts}$"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/6f/bd9b6a1c2df2.json b/data/questions/4a/6f/bd9b6a1c2df2.json new file mode 100644 index 0000000000..3fa45989fa --- /dev/null +++ b/data/questions/4a/6f/bd9b6a1c2df2.json @@ -0,0 +1 @@ +{"content":"crwdns2988138:0crwdne2988138:0","images":{"https://ka-perseus-images.s3.amazonaws.com/010bd9a1372067e0ba8f221d96970a5e7d20601a.png":{"height":183,"width":155},"https://ka-perseus-images.s3.amazonaws.com/70b8d3bdaa05df7352113009f888df338afd38fe.png":{"height":381,"width":365}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-3.523450338056899,-1.443936365965234],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/a0/ec5c670f828a.json b/data/questions/4a/a0/ec5c670f828a.json new file mode 100644 index 0000000000..24cf77cfe1 --- /dev/null +++ b/data/questions/4a/a0/ec5c670f828a.json @@ -0,0 +1 @@ +{"content":"Lane is participating in a $12$-mile walk for his favorite charity. The walk organizers plotted the course on a coordinate map. The starting point is at $(5,1)$, and the ending point is at $(5,13)$. There's a water station at $(5,7)$ to make sure the walkers stay hydrated.\n\n**Plot the starting point, ending point, and the water station on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Lane be in the walk when he reaches the water station?** \n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":"1","bottom":"4","left":"0","width":0,"height":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,14],[-1,14]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","coords":[[5,1],[5,7],[5,13]],"numPoints":3}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Less than halfway through the walk","correct":false},{"content":"Halfway through the walk","correct":true},{"content":"More than halfway through the walk"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/4a/ba/d53e78050196.json b/data/questions/4a/ba/d53e78050196.json new file mode 100644 index 0000000000..a1148ba463 --- /dev/null +++ b/data/questions/4a/ba/d53e78050196.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $4$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,4],[2,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/bb/27f0ed5669d0.json b/data/questions/4a/bb/27f0ed5669d0.json new file mode 100644 index 0000000000..153b5e0e3f --- /dev/null +++ b/data/questions/4a/bb/27f0ed5669d0.json @@ -0,0 +1 @@ +{"content":"crwdns5521037:0$P$crwdnd5521037:0$4$crwdnd5521037:0$3$crwdne5521037:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/94a5bc60ed8d93cef137d664124e8a5a494a95fc","width":425},"correct":{"coords":[[-6,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/bb/490133159c37.json b/data/questions/4a/bb/490133159c37.json new file mode 100644 index 0000000000..cf19dd6116 --- /dev/null +++ b/data/questions/4a/bb/490133159c37.json @@ -0,0 +1 @@ +{"content":"Nani drew $2$ of the same rectangle with an area of $9$ square units. She turned one sideways.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $9$ units long.*\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7fa446be7a4b0009f0f86c6ea444654cb24d2ade","width":400,"height":400},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,5],[-5,5]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[0,-2],[0,1],[-3,1],[-3,-2]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/be/8bf63374721d.json b/data/questions/4a/be/8bf63374721d.json new file mode 100644 index 0000000000..7d8e447488 --- /dev/null +++ b/data/questions/4a/be/8bf63374721d.json @@ -0,0 +1 @@ +{"content":"A system of two linear equations is graphed below.\n\n**Approximate the solution of the system.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/6f72bcfb860d68df220f0ea3b2b0532909a1339b)","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6f72bcfb860d68df220f0ea3b2b0532909a1339b":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":"Image must be smaller than 450px x 450px."}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,-4]],[[0,-3],[1,-4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":-6.25}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":5.25}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"simulator 1":{"graded":true,"options":{"numTrials":100,"proportionLabel":"Underlying proportion","proportionOrPercentage":"proportion","xAxisLabel":"Proportion (%)","yAxisLabel":"Number of times seen"},"type":"simulator","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/c1/0cebaffe76af.json b/data/questions/4a/c1/0cebaffe76af.json new file mode 100644 index 0000000000..0a83555113 --- /dev/null +++ b/data/questions/4a/c1/0cebaffe76af.json @@ -0,0 +1 @@ +{"content":"Cassie hit a golf ball. The function $f$ models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.\n\n**Plot the point on the graph of $f$ that corresponds to the ball's maximum height.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7ed3b60524f6ab5f7d3722be941fc93b0280606","width":400},"correct":{"coords":[[4,80]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,5],"labels":["\\□□□□{□□□□ (□□□□□□□)}","\\□□□□{□□□□□□ (□□□□□□)}"],"markings":"none","range":[[-2,10],[-10,90]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/d4/a204eb7e0466.json b/data/questions/4a/d4/a204eb7e0466.json new file mode 100644 index 0000000000..f11e9cafc6 --- /dev/null +++ b/data/questions/4a/d4/a204eb7e0466.json @@ -0,0 +1 @@ +{"content":"crwdns6419929:0$pcrwdnd6419929:0$x$crwdne6419929:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-3,0],[-2,0],[1.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/de/2ff8047c5243.json b/data/questions/4a/de/2ff8047c5243.json new file mode 100644 index 0000000000..e2995795e2 --- /dev/null +++ b/data/questions/4a/de/2ff8047c5243.json @@ -0,0 +1 @@ +{"content":"The interactive graph below contains the graph of $y=\\log_2(x)$ as a dashed curve, with the points $(1,0)$ and $(2,1)$ highlighted.\n\n**Adjust the movable graph to draw $y=4\\log_2(x+6)-7$.**\n\n[[☃ grapher 2]]","images":{},"widgets":{"grapher 2":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-6,-10],[-6,10]],"coords":[[-4,-3],[-5,-7]],"type":"logarithm"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ca5bbe65051d1e84dc6c0965865ce61402997946","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/f4/05027f69e650.json b/data/questions/4a/f4/05027f69e650.json new file mode 100644 index 0000000000..881de42c80 --- /dev/null +++ b/data/questions/4a/f4/05027f69e650.json @@ -0,0 +1 @@ +{"content":"crwdns4070172:0$hcrwdne4070172:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[6,3],[7,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4a/fa/bcb15fa0d50e.json b/data/questions/4a/fa/bcb15fa0d50e.json new file mode 100644 index 0000000000..f3eaf0e6c9 --- /dev/null +++ b/data/questions/4a/fa/bcb15fa0d50e.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(6,0)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(6,0)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,0]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"First quadrant ","correct":false},{"content":"Second quadrant ","correct":false},{"content":"Third quadrant","correct":false},{"content":"Fourth quadrant","correct":false},{"content":"$x$-axis","correct":true},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/4a/fd/b09fd4e24e19.json b/data/questions/4a/fd/b09fd4e24e19.json new file mode 100644 index 0000000000..584c7793f0 --- /dev/null +++ b/data/questions/4a/fd/b09fd4e24e19.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(8,9)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,9]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/03/313a93d5ceb9.json b/data/questions/4b/03/313a93d5ceb9.json new file mode 100644 index 0000000000..77b34fa7b9 --- /dev/null +++ b/data/questions/4b/03/313a93d5ceb9.json @@ -0,0 +1 @@ +{"content":"The graph below contains triangle $\\triangle ABC$ and the point $P$. \n \n**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $2$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the side $\\overline{AB}$ and its image?** \n\n$\\overline{AB}$ is [[☃ input-number 1]] units long, and its image is [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/13fdc1c1a36c96d5e24024fc91e7a8c2c4c8bdb6.png","width":425},"correct":{"coords":[[9,1],[3,9],[3,-5]],"numSides":3,"showAngles":false,"type":"polygon"},"graph":{"numSides":3,"showAngles":false,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/14/4b03e5acaf16.json b/data/questions/4b/14/4b03e5acaf16.json new file mode 100644 index 0000000000..e8c3e23fd8 --- /dev/null +++ b/data/questions/4b/14/4b03e5acaf16.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 5$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/19/853772bf33a4.json b/data/questions/4b/19/853772bf33a4.json new file mode 100644 index 0000000000..65240e7bdd --- /dev/null +++ b/data/questions/4b/19/853772bf33a4.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=3(x+1)^2-2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-2],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/25/177f52b74d77.json b/data/questions/4b/25/177f52b74d77.json new file mode 100644 index 0000000000..28e28a9ad0 --- /dev/null +++ b/data/questions/4b/25/177f52b74d77.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{4}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ece847244ed5af68ee68772b45c2e501d3410bea","width":400},"correct":{"coords":[[6,-2],[6,0],[3,-2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/28/ac9ef6a30ac6.json b/data/questions/4b/28/ac9ef6a30ac6.json new file mode 100644 index 0000000000..59b6d03002 --- /dev/null +++ b/data/questions/4b/28/ac9ef6a30ac6.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-3)^2+(y-7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[3,7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/34/a61d029a3f65.json b/data/questions/4b/34/a61d029a3f65.json new file mode 100644 index 0000000000..a4d79cbd9b --- /dev/null +++ b/data/questions/4b/34/a61d029a3f65.json @@ -0,0 +1 @@ +{"content":"crwdns3144072:0{BIT}crwdne3144072:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57ace3f006de3945ab51bd73928eb0195b7c297b","width":425},"correct":{"coords":[[1,5],[0,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/3c/ec43b42714e6.json b/data/questions/4b/3c/ec43b42714e6.json new file mode 100644 index 0000000000..f17f8628d6 --- /dev/null +++ b/data/questions/4b/3c/ec43b42714e6.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{x^2}{25}-\\dfrac{y^2}{144}=1$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/692a454abfe00fd439f8d9e0f86d09809fa7766d","width":425},"correct":{"coords":[[13,0],[-13,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/3e/8bcfbc1c6e14.json b/data/questions/4b/3e/8bcfbc1c6e14.json new file mode 100644 index 0000000000..8b99d7738a --- /dev/null +++ b/data/questions/4b/3e/8bcfbc1c6e14.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f529d3caae42deda657946bd296e5d1328006e56","width":400},"correct":{"coords":[[-5.5,8.5],[3.5,5.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/45/4b40f93056e3.json b/data/questions/4b/45/4b40f93056e3.json new file mode 100644 index 0000000000..ee3c725476 --- /dev/null +++ b/data/questions/4b/45/4b40f93056e3.json @@ -0,0 +1 @@ +{"content":"crwdns3318331:0$fcrwdnd3318331:0$gcrwdne3318331:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2,-4],[4,0]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7bf46935d39daf9af99ee61919b7eb3b2ebc8077","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/46/262b3867d484.json b/data/questions/4b/46/262b3867d484.json new file mode 100644 index 0000000000..e0e310bbb8 --- /dev/null +++ b/data/questions/4b/46/262b3867d484.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ को चतुर्भुज $A'B'C'D'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0aebe236000f6f39501780a7f557dfb0d6e30b94","width":425},"correct":{"coords":[[2,3],[-4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/4f/f67d298b4bc7.json b/data/questions/4b/4f/f67d298b4bc7.json new file mode 100644 index 0000000000..2e03ed3933 --- /dev/null +++ b/data/questions/4b/4f/f67d298b4bc7.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e5346b5a1c58fb19a2f405dff6df5135b29a469","width":430},"correct":{"coords":[[-9,-8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/57/d0ce57397794.json b/data/questions/4b/57/d0ce57397794.json new file mode 100644 index 0000000000..6c78db495f --- /dev/null +++ b/data/questions/4b/57/d0ce57397794.json @@ -0,0 +1 @@ +{"content":"Ruben measured how many minutes he meditated each night and the number of hours he slept.\n \n**Plot the data in a scatter plot.**\n \n| | | | | | | \n:--|--:|--:|--:|--:|--:|--:|--:|--:|--:|--:\n**Meditation (minutes)** | $4$ | $8$ | $10$ | $4$ | $18$ | $4$\n**Sleep (hours)** | $4.5$ | $9.5$ | $8.5$ | $6$ | $10$ | $7$\n\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["$\\text{Meditation}$","$\\text{Sleep}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,25],[-1,11]],"gridStep":[2,1],"snapStep":[1,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[4,4.5],[8,9.5],[10,8.5],[4,6],[4,7],[18,10]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/6a/eba469213ffb.json b/data/questions/4b/6a/eba469213ffb.json new file mode 100644 index 0000000000..6303a577bc --- /dev/null +++ b/data/questions/4b/6a/eba469213ffb.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/342d1c43bdbb8187376732832d5f2a7bef08bb03","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/81/f2d0acaefaf7.json b/data/questions/4b/81/f2d0acaefaf7.json new file mode 100644 index 0000000000..2b9ca8c7f3 --- /dev/null +++ b/data/questions/4b/81/f2d0acaefaf7.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2.5x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The equation represents a proportional relationship.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $\\dfrac{2}{5}$ .\n","correct":false},{"content":"The slope of the line is $2.5.$","correct":true},{"content":" A change of $5$ units in $x$ results in a change of $2$ units in $y$.","correct":false},{"content":" A change of $2$ units in $x$ results in a change of $5$ units in $y$.","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/86/4561d21b8973.json b/data/questions/4b/86/4561d21b8973.json new file mode 100644 index 0000000000..671e431a02 --- /dev/null +++ b/data/questions/4b/86/4561d21b8973.json @@ -0,0 +1 @@ +{"content":"crwdns2971534:0crwdne2971534:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7604af80632be3aabfe6e36fce1e7c9746efdfff","width":400},"correct":{"coords":[[[0.5,4.5],[3,2]],[[3,2],[2,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/86/867438fdfef8.json b/data/questions/4b/86/867438fdfef8.json new file mode 100644 index 0000000000..76d4952bb4 --- /dev/null +++ b/data/questions/4b/86/867438fdfef8.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = -4f(x-4)+1$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-14,14],[-14,14]],"step":[5,5],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-14,14],[-14,14]],"snapStep":[0.5,0.5],"coords":[[[7,-11],[1,13]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,-3],"color":"grayH","filled":true},{"type":"point","coord":[3,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/8f/6bd500cffcea.json b/data/questions/4b/8f/6bd500cffcea.json new file mode 100644 index 0000000000..5ce13e692a --- /dev/null +++ b/data/questions/4b/8f/6bd500cffcea.json @@ -0,0 +1 @@ +{"content":"Ally is excited to compete in a $6$-mile race. The race organizers plotted the course on a coordinate map. The starting point is at $(4,3)$, and the ending point is at $(4,9)$. Ally's family decides to stand at $(4,6)$ on the map.\n\n**Plot the starting point, ending point, and place where Ally's family stands on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far along will Ally be in the race when she reaches her family?** \n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[4,3],[4,6],[4,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Less than halfway through the race","correct":false},{"content":"Halfway through the race","correct":true},{"content":"More than halfway through the race"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/4b/91/0f1be151b46e.json b/data/questions/4b/91/0f1be151b46e.json new file mode 100644 index 0000000000..8ed22b0631 --- /dev/null +++ b/data/questions/4b/91/0f1be151b46e.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a07a04d83ed76adb10419476a21f4fb1f015c8c6","width":400},"correct":{"coords":[[1,-2],[1,1],[-3,1],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/95/ebd0de42fb95.json b/data/questions/4b/95/ebd0de42fb95.json new file mode 100644 index 0000000000..87131e748e --- /dev/null +++ b/data/questions/4b/95/ebd0de42fb95.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable pentagon to construct the image of pentagon $ABCDE$ after a translation by $\\langle-4,3\\rangle$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/335a1f9fe80630c1347bc2448f52ca35d6ccd281.png","width":425},"correct":{"coords":[[-2,-2],[1,6],[-6,8],[-8,5],[-5,0]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/4b/b2/6c22b45a1423.json b/data/questions/4b/b2/6c22b45a1423.json new file mode 100644 index 0000000000..1144339ea1 --- /dev/null +++ b/data/questions/4b/b2/6c22b45a1423.json @@ -0,0 +1 @@ +{"content":"You buy boxes of strawberries at the market. Each box costs $\\$6$.\n\n**Write an equation for the number of dollars, $d$, you spend on $b$ boxes.**\n\n[[☃ expression 2]]\n\nYesterday, you purchased $2$ boxes. Today you purchase $5$ boxes.\n\n**Place points on the graph to show your purchases yesterday and today.**\n\n\n[[☃ interactive-graph 2]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/cfefcdd2a689aef3469c2c2b72bec611374853b3.png":{"height":425,"width":425}},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"d=6b"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,6],"labels":["$\\text{Boxes}$","$\\text{Dollars}$"],"markings":"graph","range":[[-1,11],[-1,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,3],"step":[1,6]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/b7/6f535e51c2da.json b/data/questions/4b/b7/6f535e51c2da.json new file mode 100644 index 0000000000..1c7f8673ec --- /dev/null +++ b/data/questions/4b/b7/6f535e51c2da.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{A}$ and goes through point $\\text{B}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa0b41dfa07c6e88d78e364aced1d9c68eef824a","width":400},"correct":{"coords":[[-3,-3],[5,7]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/ba/6b30e3283b14.json b/data/questions/4b/ba/6b30e3283b14.json new file mode 100644 index 0000000000..3e916fa21e --- /dev/null +++ b/data/questions/4b/ba/6b30e3283b14.json @@ -0,0 +1 @@ +{"content":"A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of $6$ centimeters per minute. After $20$ minutes, the water level is $220$ centimeters,\n\n**Graph the pool's water level (in centimeters) as a function of time (in minutes).** \n$$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[15,190],[20,220]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/329b8ad3b68275b69539cd42272e1121a062967c","width":400},"editableSettings":["graph","snap","image"],"gridStep":[2.5,10],"labels":["",""],"markings":"none","range":[[-5,30],[-20,250]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,10],"step":[5,20],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/cd/4427888bc0c7.json b/data/questions/4b/cd/4427888bc0c7.json new file mode 100644 index 0000000000..899785e815 --- /dev/null +++ b/data/questions/4b/cd/4427888bc0c7.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(10,9)$. The rectangle is $6$ units wide and $5$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dc8e1065a081935e55a31674bb9b26aea71671ca","width":400},"correct":{"coords":[[4,9],[10,4],[4,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,12],[-2,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/d3/2ed82ec6bad5.json b/data/questions/4b/d3/2ed82ec6bad5.json new file mode 100644 index 0000000000..b6057b2ccf --- /dev/null +++ b/data/questions/4b/d3/2ed82ec6bad5.json @@ -0,0 +1 @@ +{"content":"Igor’s summer job at the frozen yogurt shop paid him the following amounts in his first three days on the job (he got paid the same hourly rate every day).\n\n |Day $1$|Day $2$|Day $3$\n-:|-:|-:|-:\nHours worked|$6$|$9$|$7$\nAmount paid|$\\$57.00$|$\\$85.50$|$\\$66.50$\n\n**What is Igor's *unit rate* of change of dollars with respect to time; that is, how much is he paid for *one* hour worked? **\n\nThe unit rate is [[☃ input-number 1]] dollars per hour.\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9.5"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/e2/732700957757.json b/data/questions/4b/e2/732700957757.json new file mode 100644 index 0000000000..d0e48b467e --- /dev/null +++ b/data/questions/4b/e2/732700957757.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4b/e8/b934d3a5de71.json b/data/questions/4b/e8/b934d3a5de71.json new file mode 100644 index 0000000000..4181bc93ae --- /dev/null +++ b/data/questions/4b/e8/b934d3a5de71.json @@ -0,0 +1 @@ +{"content":"Igor’s summer job at the frozen yogurt shop paid him the following amounts in his first three days on the job (he got paid the same hourly rate every day).\n\n |Day $1$|Day $2$|Day $3$\n-:|-:|-:|-:\nHours worked|$6$|$9$|$7$\nAmount paid|$\\$57.00$|$\\$85.50$|$\\$66.50$\n\n**What is Igor's *unit rate* of change of dollars with respect to time; that is, how much is he paid for *one* hour worked? **\n\nThe unit rate is [[☃ input-number 1]] dollars per hour.\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9.5"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/0f/ba5635313222.json b/data/questions/4c/0f/ba5635313222.json new file mode 100644 index 0000000000..8062620a83 --- /dev/null +++ b/data/questions/4c/0f/ba5635313222.json @@ -0,0 +1 @@ +{"content":"**Graph $12x-9y=36$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-4],[3,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/1d/c3e2bb8bc94d.json b/data/questions/4c/1d/c3e2bb8bc94d.json new file mode 100644 index 0000000000..4e842c82c7 --- /dev/null +++ b/data/questions/4c/1d/c3e2bb8bc94d.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n\n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e7309d6531aabb8e95172f158358dcb5e32e18ba","width":400},"correct":{"coords":[[[0,4],[-1,1]],[[5,1],[0,4]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/30/16b7c995e4dc.json b/data/questions/4c/30/16b7c995e4dc.json new file mode 100644 index 0000000000..0c546d5ffb --- /dev/null +++ b/data/questions/4c/30/16b7c995e4dc.json @@ -0,0 +1 @@ +{"content":"crwdns5947757:0crwdne5947757:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[1.5,2.5],[4.5,-0.5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/39/a12310475e06.json b/data/questions/4c/39/a12310475e06.json new file mode 100644 index 0000000000..fb102b743a --- /dev/null +++ b/data/questions/4c/39/a12310475e06.json @@ -0,0 +1 @@ +{"content":"The graph below contains triangle $\\triangle COD$ and the point $P(0,-4)$. \n \n**Draw the image of $\\triangle COD$ under a dilation whose center is $P$ and scale factor is $\\dfrac{7}{2}$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d0fb6ccfc1f3be4782a3a83cb4345e64c9e01","width":425},"correct":{"coords":[[-14,-4],[0,-11],[14,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["x","y"],"markings":"none","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/43/b54b8aad356c.json b/data/questions/4c/43/b54b8aad356c.json new file mode 100644 index 0000000000..6e8773e5d3 --- /dev/null +++ b/data/questions/4c/43/b54b8aad356c.json @@ -0,0 +1 @@ +{"content":"Manuel just quit his job so he could start his own business mowing yards and plowing driveways. He earned $\\$10{,}000$ per year in his old job. Manuel wants to exceed the earnings from his old job by at least $\\$5000$ per year. He will earn $\\$25$ per hour spent mowing and $\\$50$ per hour spent plowing.\n\n**Write an *inequality* that represents the number of hours Manuel must spend mowing $(M)$ and plowing $(P)$ to achieve his yearly earnings goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $M$ on the horizontal axis and $P$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Manuel spends $100$ hours mowing $(M)$, which of the following numbers of hours spent plowing $(P)$ will meet or exceed his earnings goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"25M+50P>=15000","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[100,50],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["M","P"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-75,700],[-20,350]],"gridStep":[50,50],"snapStep":[25,25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,300],[600,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$100$","correct":false},{"content":"$150$","correct":false},{"content":"$175$","correct":false},{"content":"$225$","correct":false},{"content":"$250$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/4f/2dcfeac69155.json b/data/questions/4c/4f/2dcfeac69155.json new file mode 100644 index 0000000000..efec086987 --- /dev/null +++ b/data/questions/4c/4f/2dcfeac69155.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3^{4-x}+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,1],[10,1]],"coords":[[4,2],[3,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/5c/6df1343d0ac2.json b/data/questions/4c/5c/6df1343d0ac2.json new file mode 100644 index 0000000000..ca4ea74136 --- /dev/null +++ b/data/questions/4c/5c/6df1343d0ac2.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(0,6.5)$, $(-5,-5)$, and $(1,9)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,-5],[0,6.5],[1,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/5d/f241e7fca999.json b/data/questions/4c/5d/f241e7fca999.json new file mode 100644 index 0000000000..b8f7f14784 --- /dev/null +++ b/data/questions/4c/5d/f241e7fca999.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\cos\\left(\\dfrac{\\pi}{3}x+\\pi\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[-1.5,-3],[-3,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/60/7ff7cffaf955.json b/data/questions/4c/60/7ff7cffaf955.json new file mode 100644 index 0000000000..4fd0d8906b --- /dev/null +++ b/data/questions/4c/60/7ff7cffaf955.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{y^2}{16}-\\dfrac{x^2}{9}=1$**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7e40cda7920abb7040ac2162e6d6a6f646e45fc9","width":425},"correct":{"coords":[[0,5],[0,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/65/56c14b877415.json b/data/questions/4c/65/56c14b877415.json new file mode 100644 index 0000000000..f9fcceb4e2 --- /dev/null +++ b/data/questions/4c/65/56c14b877415.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $3$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $6$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,6],[6,12],[9,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/66/533eb4855792.json b/data/questions/4c/66/533eb4855792.json new file mode 100644 index 0000000000..a21c7c2724 --- /dev/null +++ b/data/questions/4c/66/533eb4855792.json @@ -0,0 +1 @@ +{"content":"crwdns3462937:0$ycrwdne3462937:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-2],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/67/5e03f606bf42.json b/data/questions/4c/67/5e03f606bf42.json new file mode 100644 index 0000000000..efa347a3d2 --- /dev/null +++ b/data/questions/4c/67/5e03f606bf42.json @@ -0,0 +1 @@ +{"content":"The $3$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n** Based only on these $3$ points, plot the $3$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/eb721c7f930abab072e25f0d829ef94aa4c1afa6.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,17],[-4,17]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,1],[1,4],[2,16]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/69/2abc76299a26.json b/data/questions/4c/69/2abc76299a26.json new file mode 100644 index 0000000000..d17fce5f10 --- /dev/null +++ b/data/questions/4c/69/2abc76299a26.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-8)^2+(y+5)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[8,-5],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/8e/076576d899aa.json b/data/questions/4c/8e/076576d899aa.json new file mode 100644 index 0000000000..7aa4b41537 --- /dev/null +++ b/data/questions/4c/8e/076576d899aa.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=4x(x-3)(x+1)(2x-5)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[3,0],[-1,0],[2.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/93/788ff2135b68.json b/data/questions/4c/93/788ff2135b68.json new file mode 100644 index 0000000000..5e82037aaf --- /dev/null +++ b/data/questions/4c/93/788ff2135b68.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/051fee8f64c1daba973a6fc9425f944be28a1752","width":425},"correct":{"coords":[[-5,-3],[-2,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/95/b6b71bcbb8f0.json b/data/questions/4c/95/b6b71bcbb8f0.json new file mode 100644 index 0000000000..f6f3a061ca --- /dev/null +++ b/data/questions/4c/95/b6b71bcbb8f0.json @@ -0,0 +1 @@ +{"content":"crwdns6902030:0$hcrwdne6902030:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-6,-5],[-2,-4.5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/a7/97a632858bae.json b/data/questions/4c/a7/97a632858bae.json new file mode 100644 index 0000000000..f85e317935 --- /dev/null +++ b/data/questions/4c/a7/97a632858bae.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=4x^2+12x+4$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-1.5,-5],[0,4]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/aa/2dd1aa441263.json b/data/questions/4c/aa/2dd1aa441263.json new file mode 100644 index 0000000000..8d4d345296 --- /dev/null +++ b/data/questions/4c/aa/2dd1aa441263.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3c7be8f22da433d6b6f5c601e6541d6b0bbde8b3","width":425},"correct":{"coords":[[7,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/bd/c17678d95aeb.json b/data/questions/4c/bd/c17678d95aeb.json new file mode 100644 index 0000000000..4607145aef --- /dev/null +++ b/data/questions/4c/bd/c17678d95aeb.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{PQR}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/544e419e8dc7eb5c6202766a936b468d20e4ea53","width":425},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/d7/2abfec62e505.json b/data/questions/4c/d7/2abfec62e505.json new file mode 100644 index 0000000000..d31f10db38 --- /dev/null +++ b/data/questions/4c/d7/2abfec62e505.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec c$ and $\\vec d$:\n\n$\\begin{align}\n\\vec c&=(-4,-1)\n\\\\\\\\\n\\vec d&=(1,5)\n\\end{align}$\n\n*Answer two questions about the subtraction $\\vec c-\\vec d$.*\n\nPerforming the subtraction using the parallelogram rule, with $\\vec c$ and $-\\vec d$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the difference.**\n\n$\\vec c-\\vec d=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[-1,-5],[0,0],[-4,-1],[-5,-6]],"snapTo":"grid"}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-6,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/d8/eaa34fe88f4e.json b/data/questions/4c/d8/eaa34fe88f4e.json new file mode 100644 index 0000000000..0732d34466 --- /dev/null +++ b/data/questions/4c/d8/eaa34fe88f4e.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{B}$ and goes through point $\\text{A}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/bbbed802d54acef1aa8ef586490e7d506033aeef.png","width":400},"correct":{"coords":[[-6,-3],[5,7]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/e7/76709c679110.json b/data/questions/4c/e7/76709c679110.json new file mode 100644 index 0000000000..8153c14c1c --- /dev/null +++ b/data/questions/4c/e7/76709c679110.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/80d8b76d5355bb6f33c67876f10aa3a3f68f4e82","width":430},"correct":{"coords":[[-1,-6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/f6/524dc23e6231.json b/data/questions/4c/f6/524dc23e6231.json new file mode 100644 index 0000000000..1bb4e26bcb --- /dev/null +++ b/data/questions/4c/f6/524dc23e6231.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a trapezoid with right angles at $(0, -7)$ and $(8, -7)$, another vertex at $(8, 0)$, and a vertical base of $16$ units.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-7],[8,-7],[8,0],[0,9]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/f8/fb68342c1631.json b/data/questions/4c/f8/fb68342c1631.json new file mode 100644 index 0000000000..27d89c526a --- /dev/null +++ b/data/questions/4c/f8/fb68342c1631.json @@ -0,0 +1 @@ +{"content":"**Construct a $55^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6731ea2cba299721285a1824357747498d08c733.png":{"height":303,"width":368},"https://ka-perseus-images.s3.amazonaws.com/676a5fb254816665fe3cc73f46af8a10085cc533.png":{"height":306,"width":223}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3.020934767499292,-1.3891579127651452],[8,-8.5],[0.46947617272296593,-8.499999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4c/f9/588b737f1706.json b/data/questions/4c/f9/588b737f1706.json new file mode 100644 index 0000000000..a35922073d --- /dev/null +++ b/data/questions/4c/f9/588b737f1706.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2\\cos\\left(\\dfrac{1}{2}x\\right)-1$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[2,-1],[0,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/00/77a5e98fa2c0.json b/data/questions/4d/00/77a5e98fa2c0.json new file mode 100644 index 0000000000..8e6513a5a1 --- /dev/null +++ b/data/questions/4d/00/77a5e98fa2c0.json @@ -0,0 +1 @@ +{"content":"crwdns6902010:0$gcrwdne6902010:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[6,-3],[2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/1d/d66df18eb07b.json b/data/questions/4d/1d/d66df18eb07b.json new file mode 100644 index 0000000000..888f2eafc0 --- /dev/null +++ b/data/questions/4d/1d/d66df18eb07b.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -5|x+3|+9, ~~\\text{Domain}~~[-5,0]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-3},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":9},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-3,9],[0,-6]],[[-5,-1],[-3,9]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/4d/3c/59e7e3d6ed21.json b/data/questions/4d/3c/59e7e3d6ed21.json new file mode 100644 index 0000000000..7bed7b0e5d --- /dev/null +++ b/data/questions/4d/3c/59e7e3d6ed21.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8bf7cbeff4f1e2d0b258e258c9269c4c985b34e0","width":430,"height":430},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-6,-5]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/3c/aae552a916d7.json b/data/questions/4d/3c/aae552a916d7.json new file mode 100644 index 0000000000..e4e6013f2e --- /dev/null +++ b/data/questions/4d/3c/aae552a916d7.json @@ -0,0 +1 @@ +{"content":"\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":0,"url":"","width":0},"correct":{"coords":[[[-5,5],[5,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/3f/1ddc58a0b735.json b/data/questions/4d/3f/1ddc58a0b735.json new file mode 100644 index 0000000000..d543159011 --- /dev/null +++ b/data/questions/4d/3f/1ddc58a0b735.json @@ -0,0 +1 @@ +{"content":"crwdns2972205:0crwdne2972205:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fcada2e18f38558de80c649bfd973ad3448b09f9","width":400},"correct":{"coords":[[2,6],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/57/8a5592ee54d4.json b/data/questions/4d/57/8a5592ee54d4.json new file mode 100644 index 0000000000..c6b29a056d --- /dev/null +++ b/data/questions/4d/57/8a5592ee54d4.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-3,-4)$ and $(6,-4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[6,-4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-9}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/59/5989b28a6868.json b/data/questions/4d/59/5989b28a6868.json new file mode 100644 index 0000000000..17c827ab0a --- /dev/null +++ b/data/questions/4d/59/5989b28a6868.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $TEAM$ is rotated $-180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd7758202a4c57c755f3a2af54bb2826939a745b","width":425},"correct":{"coords":[[2,-3],[-2,-4],[-3,2],[-6,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/65/b48327ccff79.json b/data/questions/4d/65/b48327ccff79.json new file mode 100644 index 0000000000..11402c4784 --- /dev/null +++ b/data/questions/4d/65/b48327ccff79.json @@ -0,0 +1 @@ +{"content":"**Graph $-27x+18y=54$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[-2,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/6f/f8283b964f53.json b/data/questions/4d/6f/f8283b964f53.json new file mode 100644 index 0000000000..5bbcaf7daf --- /dev/null +++ b/data/questions/4d/6f/f8283b964f53.json @@ -0,0 +1 @@ +{"content":"crwdns3077926:0$6$crwdne3077926:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8fff66349d616c802314eb90a7c5b39aaef5aa12.png","width":400},"correct":{"coords":[[1,-1],[1,7],[-7,7],[-7,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/93/9dab17c4cd4a.json b/data/questions/4d/93/9dab17c4cd4a.json new file mode 100644 index 0000000000..36c9f0a33b --- /dev/null +++ b/data/questions/4d/93/9dab17c4cd4a.json @@ -0,0 +1 @@ +{"content":"Tom's bakery is on Main street.\n\n(show Tom's bakery on a map where the scale is clear)\n\n**Move the points to redraw Tom's bakery on map below. Make sure you draw it to scale!**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/96/b406a681f0b0.json b/data/questions/4d/96/b406a681f0b0.json new file mode 100644 index 0000000000..359a693138 --- /dev/null +++ b/data/questions/4d/96/b406a681f0b0.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$4$|$8$|$16$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3140d713657fd4a6d5c3a8331da11fec17952717","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/4d/96/d69381996c6d.json b/data/questions/4d/96/d69381996c6d.json new file mode 100644 index 0000000000..33c86b90ed --- /dev/null +++ b/data/questions/4d/96/d69381996c6d.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=-2|x +4|$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-4,0],[-3,-2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/98/d399b09e8d45.json b/data/questions/4d/98/d399b09e8d45.json new file mode 100644 index 0000000000..9c50ca7992 --- /dev/null +++ b/data/questions/4d/98/d399b09e8d45.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an acute angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n\n[[☃ interactive-graph 1]]\n\nThis is an acute angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":false},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/64bd2e640a539d42378bb36d23c9c85e154ccf6c.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-0.4121568453174538,6.000000000000001],[4,6],[-0.06052820127584013,1.9394717987241608]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/9d/d82012fe7f39.json b/data/questions/4d/9d/d82012fe7f39.json new file mode 100644 index 0000000000..beda59dd05 --- /dev/null +++ b/data/questions/4d/9d/d82012fe7f39.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=2|x+3|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-3,2],[-2,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/a0/7f9c2d3b1fa5.json b/data/questions/4d/a0/7f9c2d3b1fa5.json new file mode 100644 index 0000000000..558b7f6dd5 --- /dev/null +++ b/data/questions/4d/a0/7f9c2d3b1fa5.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $7$ units from Point $\\blueD{D}$ and also share the same $x$-coordinate as Point $\\blueD{D}$.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/40ba06b85132f51ca306328309034d3ad9f1365a","width":425},"correct":{"coords":[[-4,-6],[-4,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/a1/5b097ef5364e.json b/data/questions/4d/a1/5b097ef5364e.json new file mode 100644 index 0000000000..99e2389fdf --- /dev/null +++ b/data/questions/4d/a1/5b097ef5364e.json @@ -0,0 +1 @@ +{"content":"**Construct a $70^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/534c542b655115da6ac73ac7602e42411cd9dce0.png":{"height":168,"width":158},"https://ka-perseus-images.s3.amazonaws.com/f553c121920ab21939847db6f513c6a8f87f04e7.png":{"height":387,"width":360}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.8247759450082897,-1.2389918760711316],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/a2/2924e78c903d.json b/data/questions/4d/a2/2924e78c903d.json new file mode 100644 index 0000000000..5fcde0d6d4 --- /dev/null +++ b/data/questions/4d/a2/2924e78c903d.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units to the right and $4$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0edeb7c2c589581214eb32d2c0c167277eae252b","width":425},"correct":{"coords":[[5,-7],[6,-2],[3,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/a3/2f8b42b32483.json b/data/questions/4d/a3/2f8b42b32483.json new file mode 100644 index 0000000000..ddc4b1ca09 --- /dev/null +++ b/data/questions/4d/a3/2f8b42b32483.json @@ -0,0 +1 @@ +{"content":"crwdns4196239:0$4$crwdnd4196239:0$b$crwdnd4196239:0$t$crwdnd4196239:0$tcrwdnd4196239:0$2$crwdnd4196239:0$5$crwdne4196239:0","images":{"https://ka-perseus-images.s3.amazonaws.com/0adc33600dd34f0872764782894f8f4412e6c200.png":{"height":417,"width":652},"https://ka-perseus-images.s3.amazonaws.com/186d5ac5700527aa67212626c5c5a5e85f5b2294.png":{"height":346,"width":638},"https://ka-perseus-images.s3.amazonaws.com/9414326460bfa10add9710ab23911ba7ed6d78b2.png":{"height":202,"width":395}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,6],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns4203653:0{New books}crwdne4203653:0","crwdns4203661:0{Total books}crwdne4203661:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/a7/0189930a3291.json b/data/questions/4d/a7/0189930a3291.json new file mode 100644 index 0000000000..aa5e2838e8 --- /dev/null +++ b/data/questions/4d/a7/0189930a3291.json @@ -0,0 +1 @@ +{"content":"crwdns3381072:0{16}crwdnd3381072:0{9}crwdne3381072:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7e40cda7920abb7040ac2162e6d6a6f646e45fc9","width":425},"correct":{"coords":[[0,5],[0,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/b7/e0a7a403860d.json b/data/questions/4d/b7/e0a7a403860d.json new file mode 100644 index 0000000000..f0b01060ce --- /dev/null +++ b/data/questions/4d/b7/e0a7a403860d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +4y -60=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[0,-2],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/bb/4b6bbd225e07.json b/data/questions/4d/bb/4b6bbd225e07.json new file mode 100644 index 0000000000..27ba55fa50 --- /dev/null +++ b/data/questions/4d/bb/4b6bbd225e07.json @@ -0,0 +1 @@ +{"content":"crwdns3144343:0$READ$crwdne3144343:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e3725fb7f6c122c037b0e06b8d8b0d16e2ade6e5","width":425},"correct":{"coords":[[-1,-3],[7,-2],[7,-6],[5,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/cb/ae03cc03da8f.json b/data/questions/4d/cb/ae03cc03da8f.json new file mode 100644 index 0000000000..5c6833d529 --- /dev/null +++ b/data/questions/4d/cb/ae03cc03da8f.json @@ -0,0 +1 @@ +{"content":"crwdns3897491:0crwdne3897491:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1a31dd15da9da65b58c639b47ac27fbb442be65f","width":425},"correct":{"coords":[[-5,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/cc/d14019fc131c.json b/data/questions/4d/cc/d14019fc131c.json new file mode 100644 index 0000000000..9093fad890 --- /dev/null +++ b/data/questions/4d/cc/d14019fc131c.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5f0e6588ed805d7eddb1d85418c881c25de5ec42","width":430},"correct":{"coords":[[4.5,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/cf/3c9b52b36dda.json b/data/questions/4d/cf/3c9b52b36dda.json new file mode 100644 index 0000000000..256839dd90 --- /dev/null +++ b/data/questions/4d/cf/3c9b52b36dda.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\cos\\left(\\dfrac{\\pi}{3}x+\\pi\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-1.5,-3],[-3,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/d3/7c4e4c3845db.json b/data/questions/4d/d3/7c4e4c3845db.json new file mode 100644 index 0000000000..b5e21fa65c --- /dev/null +++ b/data/questions/4d/d3/7c4e4c3845db.json @@ -0,0 +1 @@ +{"content":"Graph the following system of inequalities:\n\n$\\qquad 6x+2y<12$\n\n$\\qquad y > -3x+6$\n\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side buttons for both inequalities* \n\n*Solid/dashed line buttons for both inequalities*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(3,-3)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Yes","correct":false,"clue":"What's the solution set of the system?"},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1,1],[0,6]]}},"version":{"major":0,"minor":0}},"dropdown 1":{"type":"dropdown","graded":true,"options":{"placeholder":"","choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":0.5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/da/20de27aa0f62.json b/data/questions/4d/da/20de27aa0f62.json new file mode 100644 index 0000000000..abad0a46ff --- /dev/null +++ b/data/questions/4d/da/20de27aa0f62.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +6x -10y +18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-3,5],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/de/fd616fc0bb8e.json b/data/questions/4d/de/fd616fc0bb8e.json new file mode 100644 index 0000000000..67f5446931 --- /dev/null +++ b/data/questions/4d/de/fd616fc0bb8e.json @@ -0,0 +1 @@ +{"content":"A baby bird jumps from a tree branch and flutters to the ground. The function $f$ models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping.\n\n**Plot the point on the graph of $f$ that corresponds to the bird's height above the ground when it jumped.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd6ed271d8ae39e908e3b4e0f9e6f8d7665dd8cf","width":400},"correct":{"coords":[[0,12]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,4],[-4,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/e0/62b44d22d1cd.json b/data/questions/4d/e0/62b44d22d1cd.json new file mode 100644 index 0000000000..01f04adad9 --- /dev/null +++ b/data/questions/4d/e0/62b44d22d1cd.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $6$ units in $t$ corresponds to an increase of $7$ units in $d$.\n\n **What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the line.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1.1666666666666667},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[6,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4d/e7/0de58a90b4c4.json b/data/questions/4d/e7/0de58a90b4c4.json new file mode 100644 index 0000000000..4a6d36a7d4 --- /dev/null +++ b/data/questions/4d/e7/0de58a90b4c4.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{3}{4}x-2\n\\\\\\\\\ny=-\\dfrac{5}{2}x+5\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"lockedFigures":[],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"coords":[[[0,5],[-2,0]],[[4,1],[0,-2]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/02/fb911f9138e5.json b/data/questions/4e/02/fb911f9138e5.json new file mode 100644 index 0000000000..10ed948217 --- /dev/null +++ b/data/questions/4e/02/fb911f9138e5.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $MOST$ is rotated $-180^\\circ$ about the point $(4,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4f989290e7148fe9e3a2292cb06ce738d5b93d9c","width":425},"correct":{"coords":[[-1,3],[-1,8],[1,7],[1,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/12/792b4dbda618.json b/data/questions/4e/12/792b4dbda618.json new file mode 100644 index 0000000000..2d579073a8 --- /dev/null +++ b/data/questions/4e/12/792b4dbda618.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -1+i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-1,1]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/25/d1d6bdfbea86.json b/data/questions/4e/25/d1d6bdfbea86.json new file mode 100644 index 0000000000..4e883e8906 --- /dev/null +++ b/data/questions/4e/25/d1d6bdfbea86.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $2$ apples cost $\\$3$. You can buy $6$ apples for $\\$9$. \n \n\n \n**Graph the points described by the given information.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/89893001db81c6a44139e600d854c6a88587cde7.png":{"height":437,"width":444}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[20,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/36/a7cd34085ef1.json b/data/questions/4e/36/a7cd34085ef1.json new file mode 100644 index 0000000000..5b1b5ce12b --- /dev/null +++ b/data/questions/4e/36/a7cd34085ef1.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 7+3i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/3a/d34837939aa3.json b/data/questions/4e/3a/d34837939aa3.json new file mode 100644 index 0000000000..1ff30e7042 --- /dev/null +++ b/data/questions/4e/3a/d34837939aa3.json @@ -0,0 +1 @@ +{"content":"Frank is golfing. The table below shows his scores relative to par for each of the first three holes. \n\nHole | Score relative to par\n:-:|:-: \nOne | $-2$\nTwo | $-3$\nThree | $+1$\n\n\n**What is Frank's total score relative to par for the first three holes?**\n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":[],"items":[],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"dropdown 1":{"graded":true,"options":{"choices":[{"content":"","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 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diff --git a/data/questions/4e/3b/d61d549d2105.json b/data/questions/4e/3b/d61d549d2105.json new file mode 100644 index 0000000000..4ca1d572d5 --- /dev/null +++ b/data/questions/4e/3b/d61d549d2105.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-(x-2)(x-6)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,4],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/4e/138ba62aeb19.json b/data/questions/4e/4e/138ba62aeb19.json new file mode 100644 index 0000000000..241de8b019 --- /dev/null +++ b/data/questions/4e/4e/138ba62aeb19.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nHolly swims without a membership. Consider the relationship between the number of days Holly swims and the total cost.\n\n \n**Fill in the table with the missing values.** \n \nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n\n**Is the relationship between the number of days Holly swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/62004949b9136c80c683b8a2acf38ac878ed4c22.png":{"height":428,"width":450}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":0,"scale":"1","url":"","width":0},"correct":{"coords":[[2,4],[1,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\text{Days}","\\text{Cost}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/4f/6cd8b2af9df1.json b/data/questions/4e/4f/6cd8b2af9df1.json new file mode 100644 index 0000000000..c5b654990c --- /dev/null +++ b/data/questions/4e/4f/6cd8b2af9df1.json @@ -0,0 +1 @@ +{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/64ab643e0e36f94c1150b21e140a837b9a3b7cc7)\n\n**Which of the following expressions is equal to the rectangle's area?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/64ab643e0e36f94c1150b21e140a837b9a3b7cc7":{"height":425,"width":440}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$\\left\\lvert h - f\\right\\rvert \\cdot \\left\\lvert g- e\\right\\rvert$","correct":false},{"content":"$\\left\\lvert h - c\\right\\rvert \\cdot \\left\\lvert f - g\\right\\rvert$","correct":false},{"content":"$\\left\\lvert h - d\\right\\rvert \\cdot \\left\\lvert e - g\\right\\rvert$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/51/2153096b4635.json b/data/questions/4e/51/2153096b4635.json new file mode 100644 index 0000000000..a4ba3c3317 --- /dev/null +++ b/data/questions/4e/51/2153096b4635.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=8-4i$ \n* $ w=8+4i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[8,4],[0,-8],[8,-4],[8,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/54/a8a3fb0bcda1.json b/data/questions/4e/54/a8a3fb0bcda1.json new file mode 100644 index 0000000000..1636ce1ac2 --- /dev/null +++ b/data/questions/4e/54/a8a3fb0bcda1.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d5a8c57c9001d39f900e87d36034059e8879e","scale":"1","bottom":0,"left":0,"width":400,"height":320},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[4,-8],[8,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/58/4d3e2d967a5e.json b/data/questions/4e/58/4d3e2d967a5e.json new file mode 100644 index 0000000000..962ec49ffc --- /dev/null +++ b/data/questions/4e/58/4d3e2d967a5e.json @@ -0,0 +1 @@ +{"content":"Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with side length $90\\text{ m}$.\n\n**Draw the city block such that $1$ unit on the grid below represents $30\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[2,6],[2,9],[-1,9],[-1,6]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["x","y"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/5f/2ef89a3f0b55.json b/data/questions/4e/5f/2ef89a3f0b55.json new file mode 100644 index 0000000000..4c87fa3d46 --- /dev/null +++ b/data/questions/4e/5f/2ef89a3f0b55.json @@ -0,0 +1 @@ +{"content":"Rishi is making a map of a remote village. In this village, each hut has a rectangular base measuring $4\\text{ m}$ by $6\\text{ m}$.\n\n**Move the points on the grid below to draw the base of one of the huts described above.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2d2cb1500c43f1f01f65362b0b607c29cbd0163f.png","width":400},"correct":{"coords":[[1,-5],[1,7],[-7,7],[-7,-5]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/66/32c33594b74c.json b/data/questions/4e/66/32c33594b74c.json new file mode 100644 index 0000000000..2bb8381d34 --- /dev/null +++ b/data/questions/4e/66/32c33594b74c.json @@ -0,0 +1 @@ +{"content":"crwdns5528673:0crwdne5528673:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[0,20],[1,25]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/07c9fc45d4b434a36ec1f1d332b8e5ad34640807","width":400},"editableSettings":["graph","snap","image"],"gridStep":[0.5,5],"labels":["",""],"markings":"none","range":[[-1,10],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,5],"step":[1,10],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/6b/5355af97580e.json b/data/questions/4e/6b/5355af97580e.json new file mode 100644 index 0000000000..3b0b877460 --- /dev/null +++ b/data/questions/4e/6b/5355af97580e.json @@ -0,0 +1 @@ +{"content":"crwdns5528729:0$8$crwdnd5528729:0$2$crwdne5528729:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[0,8],[2,12]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bfd242b83a1f2735531b28b990290e9f8b35d674","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,4],"labels":["",""],"markings":"none","range":[[-2,25],[-4,60]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,4],"step":[2,4],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/6e/60abcf86e28a.json b/data/questions/4e/6e/60abcf86e28a.json new file mode 100644 index 0000000000..b1e1793a45 --- /dev/null +++ b/data/questions/4e/6e/60abcf86e28a.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=3x(x-2)(2x-7)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[2,0],[3.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/77/1ac104cd4552.json b/data/questions/4e/77/1ac104cd4552.json new file mode 100644 index 0000000000..8399136c83 --- /dev/null +++ b/data/questions/4e/77/1ac104cd4552.json @@ -0,0 +1 @@ +{"content":"When it is raining outside, you tend to stay in and watch TV. The number of hours of TV that you watch in a given week is twice the number of rainy days in that week. In the table below, $y$ is the number of hours of TV you watch in a week, and $x$ is the number of rainy days in that week.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$y=2x$.\n\n**Plot two points on the graph that show the number of hours of TV you watch if there are $5$ rainy days and $7$ rainy days.**\n\n\n$x$ | $y$\n:-:|:-:\n$1$ | $2$\n$2$ | $4$\n$3$ | $6$\n$4$ | $8$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[5,10],[7,14]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,17],[-1,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/7f/2f803d0c1adf.json b/data/questions/4e/7f/2f803d0c1adf.json new file mode 100644 index 0000000000..187050b8d6 --- /dev/null +++ b/data/questions/4e/7f/2f803d0c1adf.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -7-7i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-7,-7]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/9b/2e9ba94deb7c.json b/data/questions/4e/9b/2e9ba94deb7c.json new file mode 100644 index 0000000000..116d37fbf3 --- /dev/null +++ b/data/questions/4e/9b/2e9ba94deb7c.json @@ -0,0 +1 @@ +{"content":"Vladamir is adjusting his diet to prepare for his next bodybuilding competition. Last week, he consumed $500$ grams of protein. This week, he wants to at least double last week's protein consumption by eating just eggs and chicken breasts. Each egg has $8$ grams of protein, and each chicken breast has $25$ grams of protein.\n\n**Write an *inequality* that represents the number of eggs $(E)$ and chicken breasts $(C)$ Vladamir will need to eat to achieve his protein goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $C$ on the horizontal axis and $E$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Vladamir eats $35$ eggs $(E)$, which of the following numbers of chicken breasts $(C)$ can he eat to meet or exceed his protein goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"8E+25C>=1000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"8e+25c\\ge1000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[10,25],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["C","E"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,50],[-15,155]],"gridStep":[5,10],"snapStep":[2.5,5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,125],[40,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$21$","correct":false},{"content":"$23$","correct":false},{"content":"$24$","correct":false},{"content":"$26$","correct":false},{"content":"$30$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/b0/4c4329a14ac8.json b/data/questions/4e/b0/4c4329a14ac8.json new file mode 100644 index 0000000000..ba57a52cfa --- /dev/null +++ b/data/questions/4e/b0/4c4329a14ac8.json @@ -0,0 +1 @@ +{"content":"crwdns4211580:0$45$crwdnd4211580:0$45$crwdnd4211580:0$y$crwdnd4211580:0$x$crwdnd4211580:0$5$crwdnd4211580:0$25$crwdne4211580:0","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=45-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[5,40],[25,20]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,46],[-1,46]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/ca/e0bf7480a174.json b/data/questions/4e/ca/e0bf7480a174.json new file mode 100644 index 0000000000..ca97ae5040 --- /dev/null +++ b/data/questions/4e/ca/e0bf7480a174.json @@ -0,0 +1 @@ +{"content":"crwdns3462936:0$ycrwdnd3462936:0{5}crwdnd3462936:0{4}crwdne3462936:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,5],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/dd/82b667aef419.json b/data/questions/4e/dd/82b667aef419.json new file mode 100644 index 0000000000..4e3f722f2d --- /dev/null +++ b/data/questions/4e/dd/82b667aef419.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac{1}{5}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a4acd095a715ec676b04c3c289a1a4199db75dbc","width":425},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/dd/f0a361cb377e.json b/data/questions/4e/dd/f0a361cb377e.json new file mode 100644 index 0000000000..4084fbf74d --- /dev/null +++ b/data/questions/4e/dd/f0a361cb377e.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{10} \\left( \\cos(162 \\degree) + i\\sin(162 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-6,6],[-6,6]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[-3,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4e/e8/a897adf5bbbb.json b/data/questions/4e/e8/a897adf5bbbb.json new file mode 100644 index 0000000000..6003e69759 --- /dev/null +++ b/data/questions/4e/e8/a897adf5bbbb.json @@ -0,0 +1 @@ +{"content":"crwdns3209053:0$PERCH$crwdne3209053:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/889b71f6f8624d149fcddec0f120804c04f124ed.png","width":425},"correct":{"coords":[[6,-1],[5,2],[0,1],[1,-2],[4,-3]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/4f/0c/e95342c7af42.json b/data/questions/4f/0c/e95342c7af42.json new file mode 100644 index 0000000000..813220af04 --- /dev/null +++ b/data/questions/4f/0c/e95342c7af42.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $9$, Rule: add $3$\n\nPattern $y$: Starting number: $3$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$9$ | $3$ \n$12$ | $4$ \n[[☃ numeric-input 1]] | $5$\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[9,3],[12,4],[15,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/21/841b523f1f71.json b/data/questions/4f/21/841b523f1f71.json new file mode 100644 index 0000000000..0a47358dec --- /dev/null +++ b/data/questions/4f/21/841b523f1f71.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(7,0)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/28/77a6550a5770.json b/data/questions/4f/28/77a6550a5770.json new file mode 100644 index 0000000000..6801812ed4 --- /dev/null +++ b/data/questions/4f/28/77a6550a5770.json @@ -0,0 +1 @@ +{"content":"crwdns3144068:0{HAT}crwdnd3144068:0$ycrwdne3144068:0","images":{},"widgets":{"interactive-graph 6":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/357dcee10be5cbb92632de2b123e10e58a3bdd60","width":425},"correct":{"coords":[[6,2],[-8,4],[2,-6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/30/3435afa74452.json b/data/questions/4f/30/3435afa74452.json new file mode 100644 index 0000000000..ae1ad633ed --- /dev/null +++ b/data/questions/4f/30/3435afa74452.json @@ -0,0 +1 @@ +{"content":"crwdns3380939:0$3.5$crwdne3380939:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,0.5],"radius":3.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/44/30f9c03a8a3c.json b/data/questions/4f/44/30f9c03a8a3c.json new file mode 100644 index 0000000000..2d8ed9c2f1 --- /dev/null +++ b/data/questions/4f/44/30f9c03a8a3c.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{2}{3}(x +1)(x -5)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[2,6],[-1,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/4b/6f9b66ad4c5b.json b/data/questions/4f/4b/6f9b66ad4c5b.json new file mode 100644 index 0000000000..d608837151 --- /dev/null +++ b/data/questions/4f/4b/6f9b66ad4c5b.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-6,1)$ and has a slope of $5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-6,1],[-5,6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/4b/87208bd5c2f3.json b/data/questions/4f/4b/87208bd5c2f3.json new file mode 100644 index 0000000000..ccee29f403 --- /dev/null +++ b/data/questions/4f/4b/87208bd5c2f3.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-5, 6)$, and the upper-right coordinates are $(-2, 6)$. The rectangle has a perimeter of $16$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-2,1],[-2,6],[-5,6],[-5,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/4b/9aef4f5d8cf3.json b/data/questions/4f/4b/9aef4f5d8cf3.json new file mode 100644 index 0000000000..3a53a69119 --- /dev/null +++ b/data/questions/4f/4b/9aef4f5d8cf3.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $8$, नियम: $4$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $4$, नियम: $2$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[12,6],[16,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["8","4"],["12","6"],["16","8"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/50/6596d789cf8f.json b/data/questions/4f/50/6596d789cf8f.json new file mode 100644 index 0000000000..a3769a149a --- /dev/null +++ b/data/questions/4f/50/6596d789cf8f.json @@ -0,0 +1 @@ +{"content":"Move the line segments to make a square with corners at $(-2, 2)$, $(2, 2)$, $(2, -2)$, and $(-2, -2)$.\n\n[[☃ interactive-graph 1]]\n\nThen enter the number $3$ in this box: [[☃ numeric-input 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-5,5],[-5,5]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment","numSegments":4},"valid":true,"correct":{"type":"segment","numSegments":4,"coords":[[[-2,2],[2,2]],[[2,2],[2,-2]],[[-2,2],[-2,-2]],[[-2,-2],[2,-2]]],"hasBeenInteractedWith":true,"range":[[-5,5],[-5,5]],"snapStep":[0.5,0.5],"markings":"graph"},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-2,2],"color":"grayH","filled":true},{"type":"point","coord":[2,2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"line","kind":"segment","points":[{"type":"point","coord":[-2,2],"color":"grayH","filled":true},{"type":"point","coord":[-2,-2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"line","kind":"segment","points":[{"type":"point","coord":[-2,-2],"color":"grayH","filled":true},{"type":"point","coord":[2,-2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"line","kind":"segment","points":[{"type":"point","coord":[2,-2],"color":"grayH","filled":true},{"type":"point","coord":[2,2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"dashed","showPoint1":false,"showPoint2":false}],"box":[288,288]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":3,"status":"correct","message":"The answer is 3 because I said so.","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"The number 3 goes here","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/5f/4972e4c93632.json b/data/questions/4f/5f/4972e4c93632.json new file mode 100644 index 0000000000..51ea267681 --- /dev/null +++ b/data/questions/4f/5f/4972e4c93632.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-6,0)$, and the upper-right coordinates are $(-4,0)$. The rectangle has an area of $12$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"width":440,"height":425}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","coords":[[-4,-6],[-4,0],[-6,0],[-6,-6]],"numSides":4,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/6b/d0d73c95bb6c.json b/data/questions/4f/6b/d0d73c95bb6c.json new file mode 100644 index 0000000000..553a213c4f --- /dev/null +++ b/data/questions/4f/6b/d0d73c95bb6c.json @@ -0,0 +1 @@ +{"content":"Martevius listens to music while he does homework each day.\n\nHe recorded the number of songs he listened to and how long (in hours) he spent on his homework for five days this week.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Songs** | $23$ | $11$ | $18$ | $27$ | $19$\n**Time (hours)** | $2$ | $1$ | $1.5$ | $3$ | $2$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"box":[288,288],"correct":{"coords":[[23,2],[11,1],[18,1.5],[27,3],[19,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,0.5],"labels":["$\\text{Songs}$","$\\text{Time}$"],"markings":"graph","range":[[-2,30],[-0.5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.25],"step":[2,0.5],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/6b/f99bb41810a7.json b/data/questions/4f/6b/f99bb41810a7.json new file mode 100644 index 0000000000..de06632907 --- /dev/null +++ b/data/questions/4f/6b/f99bb41810a7.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{8}x^2+x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-2],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/7d/33a5f043706b.json b/data/questions/4f/7d/33a5f043706b.json new file mode 100644 index 0000000000..9b122c5439 --- /dev/null +++ b/data/questions/4f/7d/33a5f043706b.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3+4x^2-6x$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[1,0],[-3,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/7f/77b35a8f3324.json b/data/questions/4f/7f/77b35a8f3324.json new file mode 100644 index 0000000000..a107583286 --- /dev/null +++ b/data/questions/4f/7f/77b35a8f3324.json @@ -0,0 +1 @@ +{"content":"crwdns3209058:0$CARPcrwdne3209058:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/79ec8757ad6d316ab78437b0b17b4143889c88cf.png","width":425},"correct":{"coords":[[5,-8],[6,-6],[2,-4],[1,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/4f/8d/d99390dc4313.json b/data/questions/4f/8d/d99390dc4313.json new file mode 100644 index 0000000000..9504b941ad --- /dev/null +++ b/data/questions/4f/8d/d99390dc4313.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\dfrac{5}{3}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of \n$\\dfrac{5}{3}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=5/3x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,5],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/8e/d985dba85c65.json b/data/questions/4f/8e/d985dba85c65.json new file mode 100644 index 0000000000..6b8bd8e9e8 --- /dev/null +++ b/data/questions/4f/8e/d985dba85c65.json @@ -0,0 +1 @@ +{"content":"We want to find the intersection points of the graphs given by the following system of equations:\n\n$\\begin{cases}\nx+y=2\n\\\\\\\\\nx^2+y^2=4\n\\end{cases}$\n\nThe line given by $x+y=2$ is graphed.\n\n**1) Draw the circle given by $x^2+y^2=4$ in the interactive graph.**\n\n[[☃ interactive-graph 1]]\n\n**2) Select all intersection points.**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a72273fab34b04034330809c910db7d2d2c476f8","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-6,6],[-6,6]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"circle"},"correct":{"type":"circle","center":[0,0],"radius":2}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$(2,2)$"},{"isNoneOfTheAbove":false,"content":"$(1,1)$","correct":false},{"isNoneOfTheAbove":false,"content":"$(0,2)$","correct":true},{"isNoneOfTheAbove":false,"content":"$(2,0)$","correct":true}],"randomize":false,"multipleSelect":true,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/4f/98/1807f2f84378.json b/data/questions/4f/98/1807f2f84378.json new file mode 100644 index 0000000000..8c9df532a3 --- /dev/null +++ b/data/questions/4f/98/1807f2f84378.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{1}{2}x+6\n\\\\\\\\\ny=-\\dfrac{1}{4}x+3\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,6],[2,7]],[[4,2],[0,3]]],"hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/a0/d2a69347b7b5.json b/data/questions/4f/a0/d2a69347b7b5.json new file mode 100644 index 0000000000..322a630099 --- /dev/null +++ b/data/questions/4f/a0/d2a69347b7b5.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=3e^{-0.2x}$ and let $g(x)=-2|x-3|+4$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $3e^{-0.2x}=-2|x-3|+4$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[3,4],[0,-2]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53ee732cb5f0c28c0d6595b4084b86bdc888a6b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":4.375},{"maxError":0.5,"message":"We're asked to find the greater of the two solutions. This approximates the lesser solution. ","simplify":"required","status":"wrong","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/a3/856b2dbdf538.json b/data/questions/4f/a3/856b2dbdf538.json new file mode 100644 index 0000000000..908ed9ee8d --- /dev/null +++ b/data/questions/4f/a3/856b2dbdf538.json @@ -0,0 +1 @@ +{"content":"The graph of the function $h(x)=2x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=2(x+1)^2-8$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-1,-8],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b7eec7ca584b1d5d87cc7415c3a238a9d678a7bc","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/a5/d80eca9dc685.json b/data/questions/4f/a5/d80eca9dc685.json new file mode 100644 index 0000000000..efedf5f483 --- /dev/null +++ b/data/questions/4f/a5/d80eca9dc685.json @@ -0,0 +1 @@ +{"content":"crwdns5528683:0$62.5$crwdnd5528683:0$8$crwdne5528683:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[4,250],[8,0]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea93850988f7ae65a72be6e380a99653d441ae69","width":400},"editableSettings":["graph","snap","image"],"gridStep":[0.5,50],"labels":["",""],"markings":"none","range":[[-1,10],[-50,525]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,25],"step":[1,100],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/c6/ff7ab77e1e1e.json b/data/questions/4f/c6/ff7ab77e1e1e.json new file mode 100644 index 0000000000..fb3397f30f --- /dev/null +++ b/data/questions/4f/c6/ff7ab77e1e1e.json @@ -0,0 +1 @@ +{"content":"You are a landscape architect. For your first public project you are asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $10\\text{ m}$ and height $15\\text{ m}$.\n\n**Create a scale drawing of the garden using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[13,4],[3,19],[3,4]],"match":"similar","numSides":3,"showSides":true,"type":"polygon"},"graph":{"numSides":3,"showSides":true,"type":"polygon"},"labels":["□","□"],"markings":"grid","range":[[-1,20],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/c7/957dba4c921f.json b/data/questions/4f/c7/957dba4c921f.json new file mode 100644 index 0000000000..6d2481568f --- /dev/null +++ b/data/questions/4f/c7/957dba4c921f.json @@ -0,0 +1 @@ +{"content":"crwdns4116749:0$PONY$crwdne4116749:0","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3aca0ff794b24ec83d27fd8c58b389ba09f6916f","width":425},"correct":{"coords":[[2,-7],[5,-6],[6,-3],[2,-3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/c9/7c0ccb45a161.json b/data/questions/4f/c9/7c0ccb45a161.json new file mode 100644 index 0000000000..e8f310efcf --- /dev/null +++ b/data/questions/4f/c9/7c0ccb45a161.json @@ -0,0 +1 @@ +{"content":"**Graph $y = \\dfrac{3}{8}x+6$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,6],[8,9]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/d2/dcfabaec707d.json b/data/questions/4f/d2/dcfabaec707d.json new file mode 100644 index 0000000000..b9baf1b70a --- /dev/null +++ b/data/questions/4f/d2/dcfabaec707d.json @@ -0,0 +1 @@ +{"content":"crwdns6347455:0$ycrwdne6347455:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-4,-6],[4,-6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/d6/fbe3cefac6b2.json b/data/questions/4f/d6/fbe3cefac6b2.json new file mode 100644 index 0000000000..d282a02f15 --- /dev/null +++ b/data/questions/4f/d6/fbe3cefac6b2.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1,7)$, and the upper-right coordinates are $(4,7)$. The rectangle has an area of $20$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"width":440,"height":425}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[4,3],[4,7],[-1,7],[-1,3]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/da/8aaf07638564.json b/data/questions/4f/da/8aaf07638564.json new file mode 100644 index 0000000000..bd46973715 --- /dev/null +++ b/data/questions/4f/da/8aaf07638564.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x -10y +20=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[2,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/df/9acf584e8b69.json b/data/questions/4f/df/9acf584e8b69.json new file mode 100644 index 0000000000..1b43204bab --- /dev/null +++ b/data/questions/4f/df/9acf584e8b69.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{x^2}{900}-\\dfrac{y^2}{1600}=1$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d110bda5799fea6f5d4f828790d61ba68865bb1a","width":425},"correct":{"coords":[[50,0],[-50,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["ẍẋ","ý"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/e6/6703aea57443.json b/data/questions/4f/e6/6703aea57443.json new file mode 100644 index 0000000000..ddd6e4815b --- /dev/null +++ b/data/questions/4f/e6/6703aea57443.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle BUD$ after the rotation $R_{180^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2273f19426ea3a1fb0f82ca2514616271f3321e3.png","width":425},"correct":{"coords":[[7,6],[3,4],[8,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/4f/ed/898cb444d5e7.json b/data/questions/4f/ed/898cb444d5e7.json new file mode 100644 index 0000000000..60f810a680 --- /dev/null +++ b/data/questions/4f/ed/898cb444d5e7.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(0, 9), (8, 0), (8, -7), (-3,-5),(-5, 0), (-5, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-3,-5],[-5,0],[-5,9],[0,9],[8,0],[8,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/ef/5516284d1ab2.json b/data/questions/4f/ef/5516284d1ab2.json new file mode 100644 index 0000000000..42a8b67f40 --- /dev/null +++ b/data/questions/4f/ef/5516284d1ab2.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(-7,0)$.** \n$$ \n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/abb7badd6d905be6a59bd5e3f7411f460ec8abb0)\n\n**What is located $6$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/abb7badd6d905be6a59bd5e3f7411f460ec8abb0":{"height":425,"width":425}},"widgets":{"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":false},{"content":"Point $C$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/f0/eba61f7b21ee.json b/data/questions/4f/f0/eba61f7b21ee.json new file mode 100644 index 0000000000..7dba4c8456 --- /dev/null +++ b/data/questions/4f/f0/eba61f7b21ee.json @@ -0,0 +1 @@ +{"content":"Olivia's tablet has a cracked screen. On a coordinate map of the screen, the crack starts at the point $(2,5)$ and ends at the point $(8,5)$. The crack connects the two points in a straight line.\n\n**Plot the points where the crack starts and ends on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How long is the crack?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,5],[8,5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/4f/f7/f176adfcf5f8.json b/data/questions/4f/f7/f176adfcf5f8.json new file mode 100644 index 0000000000..df29659f4a --- /dev/null +++ b/data/questions/4f/f7/f176adfcf5f8.json @@ -0,0 +1 @@ +{"content":"crwdns3508056:0$A$crwdnd3508056:0$x$crwdne3508056:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/909a727e2a541bf8b722deaadad074c7f258ca24","width":400},"correct":{"coords":[[-6,-3]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/1e/d13340bce973.json b/data/questions/50/1e/d13340bce973.json new file mode 100644 index 0000000000..6b8bd510ef --- /dev/null +++ b/data/questions/50/1e/d13340bce973.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-2(x-1)^2+8$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,8],[0,6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/27/e4df0edd67c0.json b/data/questions/50/27/e4df0edd67c0.json new file mode 100644 index 0000000000..5a76438d65 --- /dev/null +++ b/data/questions/50/27/e4df0edd67c0.json @@ -0,0 +1 @@ +{"content":"crwdns5558115:0$ycrwdnd5558115:0{2}crwdne5558115:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,2],[1,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/2b/5c964b95c7fd.json b/data/questions/50/2b/5c964b95c7fd.json new file mode 100644 index 0000000000..24b9665c25 --- /dev/null +++ b/data/questions/50/2b/5c964b95c7fd.json @@ -0,0 +1 @@ +{"content":"crwdns3328864:0{ m}crwdnd3328864:0{ m}crwdne3328864:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2d2cb1500c43f1f01f65362b0b607c29cbd0163f.png","width":400},"correct":{"coords":[[1,-5],[1,7],[-7,7],[-7,-5]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/34/3aa9f47363e9.json b/data/questions/50/34/3aa9f47363e9.json new file mode 100644 index 0000000000..261241b862 --- /dev/null +++ b/data/questions/50/34/3aa9f47363e9.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=-2(x-5.5)^2+4.5$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[5.5,4.5],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":4}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/3f/46b5a54e484a.json b/data/questions/50/3f/46b5a54e484a.json new file mode 100644 index 0000000000..e9ac6fb275 --- /dev/null +++ b/data/questions/50/3f/46b5a54e484a.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(0,-4)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(0,-4)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-4]],"type":"point"},"graph":{"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ḟíìŕřśŝťț ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŚŜéèćĉóòńňďđ ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŤŢĥȟíìŕřďđ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"Ḟóòúùŕřťțĥȟ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/50/48/d7464e1c062c.json b/data/questions/50/48/d7464e1c062c.json new file mode 100644 index 0000000000..ff9260d326 --- /dev/null +++ b/data/questions/50/48/d7464e1c062c.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=7|x +2|-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,-3],[-1,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/55/2554c0dd15c0.json b/data/questions/50/55/2554c0dd15c0.json new file mode 100644 index 0000000000..f16286e369 --- /dev/null +++ b/data/questions/50/55/2554c0dd15c0.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with a side of length $8$ in between two $45^\\circ$ angles.** \n \n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[9,1.5],[5,5.5],[1,1.5]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/78/9f6e78d593b1.json b/data/questions/50/78/9f6e78d593b1.json new file mode 100644 index 0000000000..7287e110e0 --- /dev/null +++ b/data/questions/50/78/9f6e78d593b1.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-8,7)$ and $(5,7)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,7],[5,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"ŔŘéèḿṁéèḿṁƀḃéèŕř ťțĥȟáàťț ďđíìśŝťțáàńňćĉéè śŝĥȟóòúùĺľďđ áàĺľẃẁáàýśŝ ƀḃéè ṕṗóòśŝíìťțíìṽṿéè.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/82/c57feb6dc32c.json b/data/questions/50/82/c57feb6dc32c.json new file mode 100644 index 0000000000..7f2e9f20cc --- /dev/null +++ b/data/questions/50/82/c57feb6dc32c.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac{1}{2}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/11e37fd8ec6fcaea9db4e2bb2fd0b6d751fffe51","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/83/f4bdd8a20bd0.json b/data/questions/50/83/f4bdd8a20bd0.json new file mode 100644 index 0000000000..f44437d5cf --- /dev/null +++ b/data/questions/50/83/f4bdd8a20bd0.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\cos\\left(\\dfrac{\\pi}{3}x+\\pi\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-1.5,-3],[-3,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/a2/ced2a6d5d7b9.json b/data/questions/50/a2/ced2a6d5d7b9.json new file mode 100644 index 0000000000..e0ead96fde --- /dev/null +++ b/data/questions/50/a2/ced2a6d5d7b9.json @@ -0,0 +1 @@ +{"content":"DJ Ravi purchased a new computer with $400$ gigabytes $\\text{(GB})$ of storage for videos and music. Each minute of music uses $2 \\text{ GB}$ of storage, and each minute of video uses $8\\text{ GB}$.\n\n**Write an *inequality* that represents the number of minutes of music $(M)$ and video $(V)$ Ravi can download without exceeding his storage capacity.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $V$ on the horizontal axis and $M$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Ravi downloads $50$ minutes of music $(M)$, which of the following numbers of minutes of video $(V)$ can he download without exceeding the storage capacity?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"2M+8V<=400","form":false,"simplify":false,"considered":"correct","key":0},{"value":"2m+8v\\le400","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[10,50],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["V","M"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,80],[-30,300]],"gridStep":[5,25],"snapStep":[2.5,12.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,200],[50,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$30$","correct":true},{"content":"$35$","correct":true},{"content":"$40$","correct":false},{"content":"$45$","correct":false},{"content":"$50$","correct":false}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/b8/04a7c3617dc3.json b/data/questions/50/b8/04a7c3617dc3.json new file mode 100644 index 0000000000..8020909804 --- /dev/null +++ b/data/questions/50/b8/04a7c3617dc3.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0bb4a183e2c1692a7dce35914fc63c3d9b74fb15","width":425},"correct":{"coords":[[2,-3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/c3/25646a0f2b04.json b/data/questions/50/c3/25646a0f2b04.json new file mode 100644 index 0000000000..d2eb2b67e7 --- /dev/null +++ b/data/questions/50/c3/25646a0f2b04.json @@ -0,0 +1 @@ +{"content":"crwdns6902022:0$gcrwdnd6902022:0{1}crwdnd6902022:0{3}crwdnd6902022:0{3}crwdne6902022:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-1,-2],[-4,-1.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3399a2166bf8f88b67cacda125ca07971602b0b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/c7/e88cc0bf10c2.json b/data/questions/50/c7/e88cc0bf10c2.json new file mode 100644 index 0000000000..3a22ae1ec5 --- /dev/null +++ b/data/questions/50/c7/e88cc0bf10c2.json @@ -0,0 +1 @@ +{"content":"Jeff works as a waiter at a fancy restaurant. He receives a base amount of $\\$70$ each day, plus $\\$10$ of tip for each client he serves. Assume $x$ represents the number of clients Jeff will serve in a day, and $y$ represents his daily salary.\n\n**Draw the graph which represents Jeff's daily salary as a function of the number of clients he serves.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,70],[2,90]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-1,11],[-10,180]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/d0/711a3e51b697.json b/data/questions/50/d0/711a3e51b697.json new file mode 100644 index 0000000000..c898e75106 --- /dev/null +++ b/data/questions/50/d0/711a3e51b697.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map line segment $\\overline{OP}$ onto the other line segment below.**\n\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/782236777816fea74794c3cd46ce4eac3dc07dba","width":425},"correct":{"coords":[[0,2],[1,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/dc/fef85d982fc7.json b/data/questions/50/dc/fef85d982fc7.json new file mode 100644 index 0000000000..34a97dac67 --- /dev/null +++ b/data/questions/50/dc/fef85d982fc7.json @@ -0,0 +1 @@ +{"content":"[Q1] Consider the following trigonometric function:\n\n$\\qquad f(x)=3\\cos(2x+6\\pi)+4$\n\n**Graph $f(x)$ in the interactive widget.**\n\nhint: the function has a midline of $y = 4$, a period of $\\pi$, a local maximum at $(0, 7)$, and a local minimum at $(\\dfrac\\pi 2, 1)$.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-5.5,4],[-6,7]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/e2/e53b41e657d6.json b/data/questions/50/e2/e53b41e657d6.json new file mode 100644 index 0000000000..8e5b466d4e --- /dev/null +++ b/data/questions/50/e2/e53b41e657d6.json @@ -0,0 +1 @@ +{"content":"Consider the following equations (named $R_1$, $R_2$, and $R_3$):\n\n$R_1$$~~~\\rightarrow~~~$$ x + y = 5\\\\$ \n$R_2$$~~~\\rightarrow~~~$$ x - y = 1\\\\$ \n$R_3\n~~~\\rightarrow~~~\n\\begin{align}\\underline{\\begin{align}R_1\\\\+2\\cdot R_2\\end{align}} \\\\\\\\\\\\\\\\ \\end{align}\n~~~\\rightarrow~~~\n~~~\\rightarrow~~~\n$\n\n$\n{\\begin{align} \\underline{\\begin{align} x+y=5 \\\\ 2(x-y)=2(1) \\end{align}} \\\\\\\\\\\\\\\\ \\end{align}}$\n\n**Graph $R_3$.**\n\n[[☃ interactive-graph 1]]\n\n**Do all three lines intersect at the same point?**\n\n[[☃ radio 1]]\n\n**Consider a new equation $(R_4)$ that we get by adding $R_2$ with $3$ times $R_3$. Will $R_1$, $R_2$, and $R_3$ intersect at a single point?**","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"□□□","correct":true},{"content":"□□","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/50/ef/e7170899cfde.json b/data/questions/50/ef/e7170899cfde.json new file mode 100644 index 0000000000..ec67e53c9c --- /dev/null +++ b/data/questions/50/ef/e7170899cfde.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 1$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/0a/202317993cd8.json b/data/questions/51/0a/202317993cd8.json new file mode 100644 index 0000000000..01d339f2bc --- /dev/null +++ b/data/questions/51/0a/202317993cd8.json @@ -0,0 +1 @@ +{"content":"**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n$R=\\left[\\begin{array} {ccc}\n0 & 0.75 \\\\\n-0.75 & 0 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7e6bf67dd23cf7442adff96bb811fcb0148951be","width":425},"correct":{"coords":[[-3,3],[-3,6],[-6,3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/18/bea5b187312d.json b/data/questions/51/18/bea5b187312d.json new file mode 100644 index 0000000000..96ffb05ec2 --- /dev/null +++ b/data/questions/51/18/bea5b187312d.json @@ -0,0 +1 @@ +{"content":"crwdns2964248:0$5$crwdnd2964248:0$x$crwdne2964248:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7],[0,3],[5,3],[8,7]],"match":"exact","numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/36/c1514ed96862.json b/data/questions/51/36/c1514ed96862.json new file mode 100644 index 0000000000..0994988b8f --- /dev/null +++ b/data/questions/51/36/c1514ed96862.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x^2-1)(x^2-5x+6)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[1,0],[3,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/39/7513470f0266.json b/data/questions/51/39/7513470f0266.json new file mode 100644 index 0000000000..234301cf69 --- /dev/null +++ b/data/questions/51/39/7513470f0266.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit to the right and $6$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e3572231fd47fa72e19c40b9ddc48a33ab6d9e63","width":425},"correct":{"coords":[[2,2],[2,4],[-4,7],[-6,4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/41/b668d95e54c9.json b/data/questions/51/41/b668d95e54c9.json new file mode 100644 index 0000000000..1afd145944 --- /dev/null +++ b/data/questions/51/41/b668d95e54c9.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad y=3x+3$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,3],[1,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/4b/ac9cd13744ad.json b/data/questions/51/4b/ac9cd13744ad.json new file mode 100644 index 0000000000..005e8ec5ba --- /dev/null +++ b/data/questions/51/4b/ac9cd13744ad.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about the origin $(0,0)$ with a scale factor of $2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/56d0722606fe9c0096e26fce3e1b4aff64154c8a","width":425},"correct":{"coords":[[-6,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/5d/e37ef7d95894.json b/data/questions/51/5d/e37ef7d95894.json new file mode 100644 index 0000000000..e422f59558 --- /dev/null +++ b/data/questions/51/5d/e37ef7d95894.json @@ -0,0 +1 @@ +{"content":"You are a civil engineer. You want to create a small scale drawing of a truss section of a bridge. The truss section is an isosceles trapezoid with parallel bases $22\\text{ m}$ and $10\\text{ m}$ and height $8\\text{ m}$.\n\n*An isosceles trapezoid has $4$ sides with $2$ parallel sides and $\\,2$ nonparallel sides equal in length.*\n\n**Create a scale drawing of the truss section using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[11,0],[5,8],[-5,8],[-11,0]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/74/3fdfa71d7b6d.json b/data/questions/51/74/3fdfa71d7b6d.json new file mode 100644 index 0000000000..34e5f9d5d5 --- /dev/null +++ b/data/questions/51/74/3fdfa71d7b6d.json @@ -0,0 +1 @@ +{"content":"crwdns2988135:0crwdne2988135:0","images":{"https://ka-perseus-images.s3.amazonaws.com/6731ea2cba299721285a1824357747498d08c733.png":{"height":303,"width":368},"https://ka-perseus-images.s3.amazonaws.com/676a5fb254816665fe3cc73f46af8a10085cc533.png":{"height":306,"width":223}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3.020934767499292,-1.3891579127651452],[8,-8.5],[0.46947617272296593,-8.499999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/82/5b6f4974e83f.json b/data/questions/51/82/5b6f4974e83f.json new file mode 100644 index 0000000000..56f4583ad7 --- /dev/null +++ b/data/questions/51/82/5b6f4974e83f.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{2}{3}(x +7)(x +1)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,-6],[-7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/88/bc9e506561ca.json b/data/questions/51/88/bc9e506561ca.json new file mode 100644 index 0000000000..909cae0bb9 --- /dev/null +++ b/data/questions/51/88/bc9e506561ca.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c55e554779b85c6afbe55f9c5cc57d3681b9d35","width":425},"correct":{"coords":[[7,1],[-5,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/8f/1731e119b1b6.json b/data/questions/51/8f/1731e119b1b6.json new file mode 100644 index 0000000000..85bd29d77a --- /dev/null +++ b/data/questions/51/8f/1731e119b1b6.json @@ -0,0 +1 @@ +{"content":"crwdns3138688:0crwdne3138688:0","images":{"https://ka-perseus-images.s3.amazonaws.com/8e90c40d939420a387dda6e860ff0e6cc1b85fdf.png":{"height":234,"width":132},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/745705c682793f354a91911925896e5d4337b416":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["crwdns3138694:0crwdne3138694:0","crwdns3138734:0crwdne3138734:0"],"left":["crwdns3138671:0{A}crwdne3138671:0","crwdns3138646:0{B}crwdne3138646:0","crwdns3138662:0{C}crwdne3138662:0"],"orderMatters":false,"padding":true,"right":["crwdns3138637:0crwdne3138637:0","crwdns3138648:0crwdne3138648:0","crwdns3215465:0$0.8$crwdne3215465:0"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/94/d65e6df719c6.json b/data/questions/51/94/d65e6df719c6.json new file mode 100644 index 0000000000..f7620c5e7f --- /dev/null +++ b/data/questions/51/94/d65e6df719c6.json @@ -0,0 +1 @@ +{"content":"**Construct a $15^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/87426fa1310546bc52661f6949f357d4d8528de3.png":{"height":85,"width":221},"https://ka-perseus-images.s3.amazonaws.com/b803267f608748cfceebd8c59173383510a737b1.png":{"height":192,"width":372}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.185560572807981,5.18556057280798]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/9f/a29ba91aeeae.json b/data/questions/51/9f/a29ba91aeeae.json new file mode 100644 index 0000000000..2bc1b9e7ab --- /dev/null +++ b/data/questions/51/9f/a29ba91aeeae.json @@ -0,0 +1 @@ +{"content":"Brady earned $400$ stars in his school's Read-a-Thon event last year. His goal for this year is to earn at least $100$ more stars than he did last year. He earns $50$ stars for each book he reads and $5$ stars for each magazine he reads.\n\n**Write an *inequality* that represents the number of books $(B)$ and magazines $(M)$ Brady must read to meet his goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $B$ on the horizontal axis and $M$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Brady reads $6$ books $(B)$, which of the following numbers of magazines $(M)$ can he read to meet or exceed the star goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"50B+5M>=500","form":false,"simplify":false,"considered":"correct","key":0},{"value":"50b+5m\\ge500","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[2,20],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["B","M"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,15],[-10,110]],"gridStep":[1,10],"snapStep":[0.5,5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,100],[10,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$36$","correct":false},{"content":"$40$","correct":true},{"content":"$44$","correct":true},{"content":"$48$","correct":true},{"content":"$53$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/a0/ca30c7c246e3.json b/data/questions/51/a0/ca30c7c246e3.json new file mode 100644 index 0000000000..4721b8f8ac --- /dev/null +++ b/data/questions/51/a0/ca30c7c246e3.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\cos\\left(\\dfrac{\\pi}{16}x\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[8,-4],[0,-9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/a3/0aabc5aa06f4.json b/data/questions/51/a3/0aabc5aa06f4.json new file mode 100644 index 0000000000..4ded3fac48 --- /dev/null +++ b/data/questions/51/a3/0aabc5aa06f4.json @@ -0,0 +1 @@ +{"content":"$\\triangle{YIP}$ is reflected over the line $y=2x+5$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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graph below.\n\n**Assuming $-\\dfrac13\\vec v$ starts at the origin, plot its endpoint.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0cbf1eb2c20fea17ff16782bd54c8494d4c97c15","width":400},"correct":{"coords":[[1,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/c9/ae8e36fcc1f0.json b/data/questions/51/c9/ae8e36fcc1f0.json new file mode 100644 index 0000000000..9762875925 --- /dev/null +++ b/data/questions/51/c9/ae8e36fcc1f0.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/907d5c369085716adb7069534d84c22f2159c974","width":425},"correct":{"coords":[[-1,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/d1/01cb54e3b12c.json b/data/questions/51/d1/01cb54e3b12c.json new file mode 100644 index 0000000000..4f7785d412 --- /dev/null +++ b/data/questions/51/d1/01cb54e3b12c.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $HAWK$ after reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/7bf76c6d6b175bb2cb09b3f29581e80a88ddffdf.png","width":425},"correct":{"coords":[[-4,3],[-6,4],[2,7],[4,5]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/51/d2/4052d2e036f7.json b/data/questions/51/d2/4052d2e036f7.json new file mode 100644 index 0000000000..dd5d18180e --- /dev/null +++ b/data/questions/51/d2/4052d2e036f7.json @@ -0,0 +1 @@ +{"content":"crwdns6419925:0$pcrwdnd6419925:0$x$crwdne6419925:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[3,0],[-2.5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/e5/383d545553f8.json b/data/questions/51/e5/383d545553f8.json new file mode 100644 index 0000000000..bc21d4b9f4 --- /dev/null +++ b/data/questions/51/e5/383d545553f8.json @@ -0,0 +1 @@ +{"content":"**Use the line segments to connect all possible pairs of the points $\\text{A}$, $\\text{B}$, $\\text{C}$, and $\\text{D}$. Then complete the statement below. **\n\n[[☃ interactive-graph 1]]\n\nThese are line segments because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/b2c12dadd668b9c53ca81735e1d820fc7d453471.png","width":400},"correct":{"coords":[[[-6,6],[6,6]],[[-6,6],[6,-6]],[[-6,-6],[6,6]],[[-6,-6],[-6,6]],[[6,-6],[6,6]],[[-6,-6],[6,-6]]],"numSegments":6,"type":"segment"},"graph":{"numSegments":6,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/e9/cfa186f01003.json b/data/questions/51/e9/cfa186f01003.json new file mode 100644 index 0000000000..fef971d42b --- /dev/null +++ b/data/questions/51/e9/cfa186f01003.json @@ -0,0 +1 @@ +{"content":"**Construct a $110^\\circ$ angle.**\n\n[[☃ interactive-graph 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of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/41ee82653175d0a7cd8512587919d90184f83e69","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-4,-6],[-4,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/f6/ecb908a19af8.json b/data/questions/51/f6/ecb908a19af8.json new file mode 100644 index 0000000000..e51a6c2222 --- /dev/null +++ b/data/questions/51/f6/ecb908a19af8.json @@ -0,0 +1 @@ +{"content":"**Use the line segments below to create a triangle with vertices at the following points.**\n\n$(-9,4), (−4,9), (−9,7)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-9,4],[-9,7],[-4,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/51/ff/4fc8451551f7.json b/data/questions/51/ff/4fc8451551f7.json new file mode 100644 index 0000000000..b38cac9ffd --- /dev/null +++ b/data/questions/51/ff/4fc8451551f7.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ef62d679e72975b0407d973bb48da1cc7bb54d18","width":425},"correct":{"coords":[[0,2],[1,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/0a/9aad62dbf40f.json b/data/questions/52/0a/9aad62dbf40f.json new file mode 100644 index 0000000000..7d856a40a2 --- /dev/null +++ b/data/questions/52/0a/9aad62dbf40f.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x-5)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"up","correct":false},{"content":"down","correct":true}],"placeholder":"up/down","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"right","correct":true},{"content":"left","correct":false}],"placeholder":"right/left","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[2,-3],[8,3]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"},{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, negative 5) and (2, negative 3).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/f1c31c9a31c988f00e354ea6dec1015d1345d481)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 5) and (2, 7).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/c2455ecf31b9dca406b6d237c565d192c9e68304)","correct":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 5) and (2, 7).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/172d861640abd5e0a83f27658dd1088f9a7a7cc6)","correct":false,"isNoneOfTheAbove":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, negative 5) and (2, negative 3).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/dee709912c2388f83d6278084e08285717717b5f)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/52/0f/c1769145909f.json b/data/questions/52/0f/c1769145909f.json new file mode 100644 index 0000000000..b174ad974f --- /dev/null +++ b/data/questions/52/0f/c1769145909f.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\cos\\left(\\dfrac{\\pi}{4}x+\\dfrac{\\pi}{2}\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[0,3],[-2,3.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/15/707a192b0fa5.json b/data/questions/52/15/707a192b0fa5.json new file mode 100644 index 0000000000..2f5c55d9ad --- /dev/null +++ b/data/questions/52/15/707a192b0fa5.json @@ -0,0 +1 @@ +{"content":"**Graph the following exponential function.**\n\n>$g(x)=4\\cdot\\left(\\dfrac{2}{3}\\right)^{\\large x}$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,4],[-1,6]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/30/30f45895ac86.json b/data/questions/52/30/30f45895ac86.json new file mode 100644 index 0000000000..2c9f67fab5 --- /dev/null +++ b/data/questions/52/30/30f45895ac86.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable pentagon to construct the image of pentagon $TULIP$ after the rotation $R_{90^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/1c610173e7b3f5d011a62e832d24fd6890776655.png","width":425},"correct":{"coords":[[6,5],[4,2],[4,-3],[7,-2],[8,2]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/52/35/919dce3465cb.json b/data/questions/52/35/919dce3465cb.json new file mode 100644 index 0000000000..181faf1ba1 --- /dev/null +++ b/data/questions/52/35/919dce3465cb.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{1}{5}(x+5)^2-2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-2],[0,-7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/42/9151ad8b9bad.json b/data/questions/52/42/9151ad8b9bad.json new file mode 100644 index 0000000000..88eb32dbfb --- /dev/null +++ b/data/questions/52/42/9151ad8b9bad.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(0,5)$ and $(-8,0)$, and a side measuring $10$ units on the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[-8,0],[0,-5]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/4a/68dbb43de12c.json b/data/questions/52/4a/68dbb43de12c.json new file mode 100644 index 0000000000..f6504229ab --- /dev/null +++ b/data/questions/52/4a/68dbb43de12c.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f72f9bdc4e3cca3cf8b3cd3d6f699602b409c517","width":400},"correct":{"coords":[[-6,7],[-6,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/70/0ef66802fca6.json b/data/questions/52/70/0ef66802fca6.json new file mode 100644 index 0000000000..d90d664b94 --- /dev/null +++ b/data/questions/52/70/0ef66802fca6.json @@ -0,0 +1 @@ +{"content":"Callan goes for a hike every Saturday. Callan hikes at a rate of $3$ miles per hour.\n\n**Complete the table for the given ratio.** \n \nHours, $x$ | Miles, $y$ \n:-: | :-: \n$1$ | $3$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[3,9],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,3]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/77/e702ca40a376.json b/data/questions/52/77/e702ca40a376.json new file mode 100644 index 0000000000..2a8572402e --- /dev/null +++ b/data/questions/52/77/e702ca40a376.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/83/b8be33765a37.json b/data/questions/52/83/b8be33765a37.json new file mode 100644 index 0000000000..d46c1af9c7 --- /dev/null +++ b/data/questions/52/83/b8be33765a37.json @@ -0,0 +1 @@ +{"content":"Natalie just invited $100$ guests to a party in her small house. The base of her house is a rectangle with dimensions $8\\text{ m}$ by $16\\text{ m}$. It's a good thing she didn't invite the fire marshal to the party!\n\n**Move points to create an outline of Natalie's house on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/f59ba639613da0dbd8819cfb53bb15198420627e.png","width":400},"correct":{"coords":[[-1,-5],[-1,7],[-7,7],[-7,-5]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/98/5500fa5706e1.json b/data/questions/52/98/5500fa5706e1.json new file mode 100644 index 0000000000..756c35739a --- /dev/null +++ b/data/questions/52/98/5500fa5706e1.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(4,4)$ and $(4,6)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,4],[4,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/9c/8796301a53a7.json b/data/questions/52/9c/8796301a53a7.json new file mode 100644 index 0000000000..83460c9db5 --- /dev/null +++ b/data/questions/52/9c/8796301a53a7.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/437f335cea5f258836c2ea16748446a968479e2b","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon"},"correct":{"type":"polygon","coords":[[5,-5],[4,-2],[2,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/ae/2d07595fe821.json b/data/questions/52/ae/2d07595fe821.json new file mode 100644 index 0000000000..98a1c04ee6 --- /dev/null +++ b/data/questions/52/ae/2d07595fe821.json @@ -0,0 +1 @@ +{"content":"crwdns3415419:0crwdne3415419:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-2.7317170022188737,-8.607482496997033],[2.9204199736582312,8.285714285714286],[-6.364571590277721,3.65623545014836]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/b2/f317ffbe328a.json b/data/questions/52/b2/f317ffbe328a.json new file mode 100644 index 0000000000..6ae41f3e17 --- /dev/null +++ b/data/questions/52/b2/f317ffbe328a.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $4$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[1,4],[2,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/b4/e5e6178558a4.json b/data/questions/52/b4/e5e6178558a4.json new file mode 100644 index 0000000000..52c7fd1c14 --- /dev/null +++ b/data/questions/52/b4/e5e6178558a4.json @@ -0,0 +1 @@ +{"content":"Jennifer drives at a constant speed of $3$ miles per $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents distance (in miles). \n\n**Plot points to show how far Jennifer has driven after $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[6,4.5],[4,3],[2,1.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/be/b88ca4f69878.json b/data/questions/52/be/b88ca4f69878.json new file mode 100644 index 0000000000..4688935b21 --- /dev/null +++ b/data/questions/52/be/b88ca4f69878.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-x-6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[1,-7]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/d1/32e54e193cb0.json b/data/questions/52/d1/32e54e193cb0.json new file mode 100644 index 0000000000..e82a190db3 --- /dev/null +++ b/data/questions/52/d1/32e54e193cb0.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$120$|$6$|$24$|$2$|$1$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d2896239bfd9b195b0ce07265fa6e275543a64b3","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-1]],[[-5,0],[5,-4]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":true,"content":"$f$ is invertible"},{"correct":false,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/52/d7/f17e353cb30f.json b/data/questions/52/d7/f17e353cb30f.json new file mode 100644 index 0000000000..b12c0bd785 --- /dev/null +++ b/data/questions/52/d7/f17e353cb30f.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-5$ that contains the point $(-3,-4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-4,1],[-3,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/e4/50faf9938b67.json b/data/questions/52/e4/50faf9938b67.json new file mode 100644 index 0000000000..17b0c14eb5 --- /dev/null +++ b/data/questions/52/e4/50faf9938b67.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24d3859d6af72989cd8a5e1e562edff98b4ed146","width":430},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/f8/21612062784e.json b/data/questions/52/f8/21612062784e.json new file mode 100644 index 0000000000..ada92a9fd4 --- /dev/null +++ b/data/questions/52/f8/21612062784e.json @@ -0,0 +1 @@ +{"content":"**Graph $-8x-y=8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-8],[-1,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/fb/b9df8b75138c.json b/data/questions/52/fb/b9df8b75138c.json new file mode 100644 index 0000000000..3888cc83b8 --- /dev/null +++ b/data/questions/52/fb/b9df8b75138c.json @@ -0,0 +1 @@ +{"content":"**Graph $y=8.5x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,8.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"□□□ □□□□□□□□ □□□□□□□□□□ □ □□□□□□□□□□□□ □□□□□□□□□□□□.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $8.5$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{2}{17}$ .","correct":false},{"content":" A change of $17$ units in $x$ results in a change of $2$ units in $y$.","correct":false},{"content":" A change of $4$ units in $x$ results in a change of $34$ units in $y$.","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/52/fc/2f575332051d.json b/data/questions/52/fc/2f575332051d.json new file mode 100644 index 0000000000..5461876394 --- /dev/null +++ b/data/questions/52/fc/2f575332051d.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = \\dfrac{1}{3}f(x)+4$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-3,3],[3,5]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/0c/68e6a7d7de7c.json b/data/questions/53/0c/68e6a7d7de7c.json new file mode 100644 index 0000000000..073a70bcc6 --- /dev/null +++ b/data/questions/53/0c/68e6a7d7de7c.json @@ -0,0 +1 @@ +{"content":"crwdns6347461:0$ycrwdne6347461:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-3,5],[4,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/14/36bda4418a93.json b/data/questions/53/14/36bda4418a93.json new file mode 100644 index 0000000000..907ed18b0e --- /dev/null +++ b/data/questions/53/14/36bda4418a93.json @@ -0,0 +1 @@ +{"content":"crwdns3462797:0$ycrwdnd3462797:0{3}crwdnd3462797:0{2}crwdne3462797:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,6],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/20/5cf499837dab.json b/data/questions/53/20/5cf499837dab.json new file mode 100644 index 0000000000..40bd03c0f5 --- /dev/null +++ b/data/questions/53/20/5cf499837dab.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=6x^2-18x+12$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[1.5,-1.5],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/38/fb38b4c1ca02.json b/data/questions/53/38/fb38b4c1ca02.json new file mode 100644 index 0000000000..76d28d48a1 --- /dev/null +++ b/data/questions/53/38/fb38b4c1ca02.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=-\\dfrac{1}{2}x-6\n\\\\\\\\\ny=\\dfrac{1}{4}x\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-2,-5],[0,-6]],[[0,0],[4,1]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,1],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-8}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/3e/732b56933971.json b/data/questions/53/3e/732b56933971.json new file mode 100644 index 0000000000..53444ce2b6 --- /dev/null +++ b/data/questions/53/3e/732b56933971.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24d3859d6af72989cd8a5e1e562edff98b4ed146","width":430,"height":430},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[0,9]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/4b/10be42cfcb94.json b/data/questions/53/4b/10be42cfcb94.json new file mode 100644 index 0000000000..31eb3b507c --- /dev/null +++ b/data/questions/53/4b/10be42cfcb94.json @@ -0,0 +1 @@ +{"content":"crwdns5574157:0$-3$crwdne5574157:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[5,-5],[4,-2]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/5d/2b70205794a0.json b/data/questions/53/5d/2b70205794a0.json new file mode 100644 index 0000000000..143c7b61fb --- /dev/null +++ b/data/questions/53/5d/2b70205794a0.json @@ -0,0 +1 @@ +{"content":"crwdns4132426:0$P$crwdnd4132426:0{1}crwdnd4132426:0{2}crwdne4132426:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c734d43736b8c0402d5da625d45fc3e31f061992","width":400},"correct":{"coords":[[-1,-3],[1,1],[-4,0]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/5d/3ad05a0fa62a.json b/data/questions/53/5d/3ad05a0fa62a.json new file mode 100644 index 0000000000..4cd255ab1c --- /dev/null +++ b/data/questions/53/5d/3ad05a0fa62a.json @@ -0,0 +1 @@ +{"content":"Jane sells hot dogs at football games. For last week's game, she bought hot dogs, buns and condiments for $\\$6$ at the store, and sold the hot dogs for $\\$1$ each at the game. The graph below shows the profit $y$ she made as a function of the number $x$ of hot dogs sold.\n\n![](https://ka-perseus-graphie.s3.amazonaws.com/c00ff3148b9b9e210faeccd0b0345c7071138262.png)\n\nThis week, Jane wants to change things up. She will buy bigger hot dogs, investing $\\$9$ at the store, and sell the hot dogs for $\\$2$ each. \n\n**What will be the graph of her profit for this week?**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/c00ff3148b9b9e210faeccd0b0345c7071138262.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-9],[4.5,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-1,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/65/b90fe2ec1ff6.json b/data/questions/53/65/b90fe2ec1ff6.json new file mode 100644 index 0000000000..7ea41f8074 --- /dev/null +++ b/data/questions/53/65/b90fe2ec1ff6.json @@ -0,0 +1 @@ +{"content":"Which of the following types of people is least likely to be helpful in conservation efforts? \n\n\n![](https://ka-perseus-images.s3.amazonaws.com/3d67198407f98ed85dd5b647ec1a7fa25caa1644.jpg)\n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/3d67198407f98ed85dd5b647ec1a7fa25caa1644.jpg":{"height":122,"width":200}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"a. scientists ","correct":false},{"content":"b. educators","correct":false},{"content":"c. poachers","correct":true},{"content":"d. interested members of the public ","correct":false},{"content":"e. government officials","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/6e/a832d784a1bd.json b/data/questions/53/6e/a832d784a1bd.json new file mode 100644 index 0000000000..b451765555 --- /dev/null +++ b/data/questions/53/6e/a832d784a1bd.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ का प्रतिबिंब रेखा $\\ell$ पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b28cea91201e2bf0f941c618adfebc212092273c","width":400},"correct":{"coords":[[4,-2],[4,2],[0,-1],[3,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/71/1933d63f3f1a.json b/data/questions/53/71/1933d63f3f1a.json new file mode 100644 index 0000000000..e232b7781b --- /dev/null +++ b/data/questions/53/71/1933d63f3f1a.json @@ -0,0 +1 @@ +{"content":"crwdns6420409:0$ycrwdne6420409:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/78/1ea928a30ae3.json b/data/questions/53/78/1ea928a30ae3.json new file mode 100644 index 0000000000..bd7efc9702 --- /dev/null +++ b/data/questions/53/78/1ea928a30ae3.json @@ -0,0 +1 @@ +{"content":"Hector recorded the amount of coffee he drank (in milliliters) and the duration of his drive (in minutes) over five days this week. \n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Coffee (mL)** | $100$ | $200$ | $150$ | $125$ | $225$\n**Duration (min)** | $18$ | $14$ | $15$ | $20$ | $12$ \n\n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[100,18],[200,14],[150,15],[125,20],[225,12]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[50,1],"labels":["$\\text{Coffee}$","$\\text{Duration}$"],"markings":"graph","range":[[-25,300],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[25,0.5],"step":[50,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/98/c8efadf77fd5.json b/data/questions/53/98/c8efadf77fd5.json new file mode 100644 index 0000000000..0f0c6f93a2 --- /dev/null +++ b/data/questions/53/98/c8efadf77fd5.json @@ -0,0 +1 @@ +{"content":"At the gym, Abby rode a stationary bike that displayed her heart rate. She decided to record her heart rate at different intervals, and then used the line $y = 2x + 90$ to model her heart rate as a function of the number of minutes that she had biked. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Would an exponential or quadratic model be a better fit for the data?** [[☃ dropdown 1]] \n\n | | | || ||\n- | - | -\n**Number of minutes** |$0$ | $10$| $20$ | $30$ | $40$|$50$\n**Residual value** | $5$ | $-5$| $0$ | $5$| $5$|$-5$\n**Heart Rate** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":95},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":105},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":130},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":155},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":175},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":185},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,95],[50,185],[10,105],[20,130],[30,155],[40,175]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"graph","range":[[-5,55],[85,190]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,2.5],"step":[5,20]},"type":"interactive-graph"}}} diff --git a/data/questions/53/9b/91d5403f1822.json b/data/questions/53/9b/91d5403f1822.json new file mode 100644 index 0000000000..fc7f1ca4af --- /dev/null +++ b/data/questions/53/9b/91d5403f1822.json @@ -0,0 +1 @@ +{"content":"crwdns4075256:0$fcrwdnd4075256:0{4}crwdnd4075256:0{5}crwdne4075256:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,5],[1,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/a4/3c0547703014.json b/data/questions/53/a4/3c0547703014.json new file mode 100644 index 0000000000..a61b80d7b6 --- /dev/null +++ b/data/questions/53/a4/3c0547703014.json @@ -0,0 +1 @@ +{"content":"crwdns3474928:0crwdne3474928:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,9]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/b5/772f98c90381.json b/data/questions/53/b5/772f98c90381.json new file mode 100644 index 0000000000..38fd3d9726 --- /dev/null +++ b/data/questions/53/b5/772f98c90381.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-4,1)$, and which has the point $(0,4)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-4,1],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/d0/37c85191990d.json b/data/questions/53/d0/37c85191990d.json new file mode 100644 index 0000000000..f72ae3e4a2 --- /dev/null +++ b/data/questions/53/d0/37c85191990d.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-3)$ and has a slope of $-2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-4,-5],[-5,-3]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/e4/601f99e6667f.json b/data/questions/53/e4/601f99e6667f.json new file mode 100644 index 0000000000..88c1a9b99b --- /dev/null +++ b/data/questions/53/e4/601f99e6667f.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ का प्रतिबिंब $x$-अक्ष पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5830ac6bfcc380f5d90edd20c90416ed4010dfaf","width":425},"correct":{"coords":[[0,-1],[4,-1],[1,5],[2,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/ea/b5fe86e53b3f.json b/data/questions/53/ea/b5fe86e53b3f.json new file mode 100644 index 0000000000..a93ec0cfa8 --- /dev/null +++ b/data/questions/53/ea/b5fe86e53b3f.json @@ -0,0 +1 @@ +{"content":"Naomi lives at $2^{\\text{nd}}$ Avenue and $3^{\\text{rd}}$ Street, represented by the point $(2,3)$ on the map below. Her school is located at $4^{\\text{th}}$ Avenue and $10^{\\text{th}}$ Street, represented by $(4, 10)$ on the map. To get to school, she walks over to $4^{\\text{th}}$ Avenue and up to $10^{\\text{th}}$ Street.\n\n**Plot Naomi's house and her school on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far does Naomi walk to get to school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,3],[4,10]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/ed/1223e3de07eb.json b/data/questions/53/ed/1223e3de07eb.json new file mode 100644 index 0000000000..b1d2738594 --- /dev/null +++ b/data/questions/53/ed/1223e3de07eb.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{5}{9}(x +9)(x +3)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,-5],[-9,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/f9/c424e642bd70.json b/data/questions/53/f9/c424e642bd70.json new file mode 100644 index 0000000000..790c8b9fe6 --- /dev/null +++ b/data/questions/53/f9/c424e642bd70.json @@ -0,0 +1 @@ +{"content":"The following two equations form a linear system.\n\n$\\qquad y=-3x-7$\n\n$\\qquad y=x+9$\n\n**Graph the system of equations and find its solution.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[-1,-4],[0,-7]],[[-1,8],[0,9]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"","size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/53/fd/fb31226d10a9.json b/data/questions/53/fd/fb31226d10a9.json new file mode 100644 index 0000000000..aec730c94a --- /dev/null +++ b/data/questions/53/fd/fb31226d10a9.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nAt Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | |\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[8,5],[16,8],[24,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"markings":"graph","range":[[-2,25],[-1,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/53/ff/612cc0851494.json b/data/questions/53/ff/612cc0851494.json new file mode 100644 index 0000000000..4c90696398 --- /dev/null +++ b/data/questions/53/ff/612cc0851494.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ef62d679e72975b0407d973bb48da1cc7bb54d18","width":425},"correct":{"coords":[[0,2],[1,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/3e/b17580dcb3e7.json b/data/questions/54/3e/b17580dcb3e7.json new file mode 100644 index 0000000000..c81f176446 --- /dev/null +++ b/data/questions/54/3e/b17580dcb3e7.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac13$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37365d2280c6e7f7e98a3ed34ea9cbcab496022e","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/3f/d1c8f3bf92b7.json b/data/questions/54/3f/d1c8f3bf92b7.json new file mode 100644 index 0000000000..8fa6f05010 --- /dev/null +++ b/data/questions/54/3f/d1c8f3bf92b7.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4(x +6)(x +4)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-4],[-6,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/40/0abda008aa3e.json b/data/questions/54/40/0abda008aa3e.json new file mode 100644 index 0000000000..842920eb9b --- /dev/null +++ b/data/questions/54/40/0abda008aa3e.json @@ -0,0 +1 @@ +{"content":"crwdns3383326:0$6$crwdnd3383326:0$2$crwdne3383326:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6302f62c863bfc13face9bd80b71d87f10ad77d0","width":400},"correct":{"coords":[[12,16]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,14],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/51/b2f094c77c3c.json b/data/questions/54/51/b2f094c77c3c.json new file mode 100644 index 0000000000..7b413e7c23 --- /dev/null +++ b/data/questions/54/51/b2f094c77c3c.json @@ -0,0 +1 @@ +{"content":"Enrique earns $10$ points for each question that he answers correctly on a geography test.\n\n**Write an equation for the number of points, $y$, Enrique scores on the test when he answers $x$ questions correctly.**\n\n[[☃ expression 2]]\n\n\nOn his first geography test, Enrique answered $3$ questions correctly. On his second test, Enrique answered $7$ questions correctly.\n\n**Place points on the graph to show Enrique's first and second geography test.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=10x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,30],[7,70]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/62/19a16962dd4d.json b/data/questions/54/62/19a16962dd4d.json new file mode 100644 index 0000000000..004278d18f --- /dev/null +++ b/data/questions/54/62/19a16962dd4d.json @@ -0,0 +1 @@ +{"content":"**The quadrilateral shown in the graph is transformed by matrix $R$. Plot the resulting quadrilateral.** \n\n$R=\\left[\\begin{array} {ccc}\n-\\dfrac{1}{3} & 0 \\\\\n0 & \\dfrac{1}{3} \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bdead6cb2302029fd92cf4c8d4867d159e0edcdf","width":425},"correct":{"coords":[[-1,-1],[-3,-1],[-3,-2],[-1,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/63/1e37ddaf480e.json b/data/questions/54/63/1e37ddaf480e.json new file mode 100644 index 0000000000..d8c5183c51 --- /dev/null +++ b/data/questions/54/63/1e37ddaf480e.json @@ -0,0 +1 @@ +{"content":"**Graph the following exponential function.**\n\n>$g(x)=-12\\cdot4^{\\large x}$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[-1,-3],[0,-12]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[0.5,3],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-18,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,1.5],"step":[1,3],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/6d/f6156eaf76da.json b/data/questions/54/6d/f6156eaf76da.json new file mode 100644 index 0000000000..e695227a69 --- /dev/null +++ b/data/questions/54/6d/f6156eaf76da.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{3}{4}x-2\n\\\\\\\\\ny=\\dfrac{5}{2}x+5\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,5],[-2,0]],[[4,1],[0,-2]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,1],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/78/c9a860663571.json b/data/questions/54/78/c9a860663571.json new file mode 100644 index 0000000000..f37ef7e980 --- /dev/null +++ b/data/questions/54/78/c9a860663571.json @@ -0,0 +1 @@ +{"content":"crwdns3419754:0$ycrwdnd3419754:0{-x}crwdne3419754:0","images":{},"widgets":{"grapher 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57f214bda5a1021c49ba52ac8573887cde97bfbf","width":430},"correct":{"coords":[[-3,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/89/7aa9472fe2ac.json b/data/questions/54/89/7aa9472fe2ac.json new file mode 100644 index 0000000000..26194d43ae --- /dev/null +++ b/data/questions/54/89/7aa9472fe2ac.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\sin\\left(\\dfrac{\\pi}{2}x\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,2],[1,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/8d/aeb32cee90ad.json b/data/questions/54/8d/aeb32cee90ad.json new file mode 100644 index 0000000000..914ef166cb --- /dev/null +++ b/data/questions/54/8d/aeb32cee90ad.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $PINE$ after the rotation $R_{270^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/13dbfbf24a594d5ed6e9f57a61e2336a1b282d67.png","width":425},"correct":{"coords":[[6,-7],[5,-2],[3,-3],[2,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/95/dba5cfc2a378.json b/data/questions/54/95/dba5cfc2a378.json new file mode 100644 index 0000000000..c310307550 --- /dev/null +++ b/data/questions/54/95/dba5cfc2a378.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{D}$, and the other line goes through points $\\text{B}$ and $\\text{C}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":true},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":false},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":false},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/6a5f70a361f0f1baeef61eee6726eef944176663.png","width":400},"correct":{"coords":[[[-7,7],[7,-3]],[[-3,-7],[0,-2]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/a3/02628fcb34f7.json b/data/questions/54/a3/02628fcb34f7.json new file mode 100644 index 0000000000..c3a47e3917 --- /dev/null +++ b/data/questions/54/a3/02628fcb34f7.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y= -\\dfrac{x}{3}+ 1}$\n\n$\\qquad\\pink{2y - x = 12}$\n\n**Create a new equation by setting the right-hand side of the upper equation equal to the left-hand side of the lower equation and solving for $y$.** \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":true},{"content":"is also","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=1/3 x + 1/2"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 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1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3139236:0$A$crwdne3139236:0","correct":false},{"content":"crwdns3139237:0$B$crwdne3139237:0","correct":false},{"content":"crwdns3139238:0$C$crwdne3139238:0","correct":false},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":true},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/d0/d88854e0b1dc.json b/data/questions/54/d0/d88854e0b1dc.json new file mode 100644 index 0000000000..76064bf716 --- /dev/null +++ b/data/questions/54/d0/d88854e0b1dc.json @@ -0,0 +1 @@ +{"content":"crwdns5521036:0$P$crwdnd5521036:0$3$crwdnd5521036:0$1$crwdne5521036:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e52cd48b77e052c2510aa7756e65a78b2f809e4b","width":425},"correct":{"coords":[[7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/e2/637647319b00.json b/data/questions/54/e2/637647319b00.json new file mode 100644 index 0000000000..23f031bfa9 --- /dev/null +++ b/data/questions/54/e2/637647319b00.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -3i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[0,-3]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/54/ec/e10801c1d441.json b/data/questions/54/ec/e10801c1d441.json new file mode 100644 index 0000000000..c1f437d9da --- /dev/null +++ b/data/questions/54/ec/e10801c1d441.json @@ -0,0 +1 @@ +{"content":"Cam attempted to graph the equation $3(y-2) + x = 9$, but he got it wrong! His graph is shown below.\n\n**Step 1: Find an actual solution. \nWhen $x$ is $3$, the value of $y$ is** [[☃ numeric-input 1]].\n\n**Step 2: Plot the solution.**\n\n[[☃ interactive-graph 1]]\n\n**Step 3: Check if the solution is on the graph.**\n\n[[☃ radio 1]]","images":{"http://s3.amazonaws.com/illustrativemathematics/images/000/000/818/medium/seven_circles_ba4a5fd8b0a4a751dc704e843912f6ef.jpg?1336174598":{"height":300,"width":291}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"size":"small"},"type":"numeric-input"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Ýéèśŝ, ťțĥȟéè śŝóòĺľúùťțíìóòńň íìśŝ óòńň ĆĈáàḿṁ'śŝ ĝǧŕřáàṕṗĥȟ.","correct":false},{"content":"ŃŇóò, ťțĥȟéè śŝóòĺľúùťțíìóòńň íìśŝ ńňóòťț óòńň ĆĈáàḿṁ'śŝ ĝǧŕřáàṕṗĥȟ. ŤŢĥȟéèŕřéèḟóòŕřéè, ĥȟíìśŝ ĝǧŕřáàṕṗĥȟ íìśŝ ẃẁŕřóòńňĝǧ.","correct":false}],"displayCount":null,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/54/f6/bb9a32aca771.json b/data/questions/54/f6/bb9a32aca771.json new file mode 100644 index 0000000000..77ee66c585 --- /dev/null +++ b/data/questions/54/f6/bb9a32aca771.json @@ -0,0 +1 @@ +{"content":"crwdns3508043:0crwdne3508043:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.5,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3137505:0crwdne3137505:0","correct":false},{"content":"crwdns3137560:0crwdne3137560:0","correct":true},{"content":"crwdns3137566:0crwdne3137566:0","correct":false},{"content":"crwdns3137506:0crwdne3137506:0","correct":false},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":false},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/55/0e/aabc99486e1a.json b/data/questions/55/0e/aabc99486e1a.json new file mode 100644 index 0000000000..0e8bf73802 --- /dev/null +++ b/data/questions/55/0e/aabc99486e1a.json @@ -0,0 +1 @@ +{"content":"Plot a ray that starts at $(-3, 3)$ and passes through the point $(0, 2)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-3,3],[0,2]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"ray"},"graph":{"type":"ray"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/1a/ca80629932f8.json b/data/questions/55/1a/ca80629932f8.json new file mode 100644 index 0000000000..46cf07a4da --- /dev/null +++ b/data/questions/55/1a/ca80629932f8.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nTimothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n| | |\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,10],[11,15],[18,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[2,5],"labels":["$\\text{Km}$","$\\text{Minutes}$"],"markings":"graph","range":[[-4,22],[-5,55]],"showProtractor":false,"showTooltips":false,"snapStep":[1,2.5],"step":[2,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/55/2f/4a3c7c0b1233.json b/data/questions/55/2f/4a3c7c0b1233.json new file mode 100644 index 0000000000..19b650cff4 --- /dev/null +++ b/data/questions/55/2f/4a3c7c0b1233.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $6$ units from Point $\\blueD{B}$ and also share the same $y$-coordinate as Point $\\blueD{B}$.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/faaca03688aa5060cb8b942bc569487278b5ddd5","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[7,3],[-5,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/33/0b26b5985f14.json b/data/questions/55/33/0b26b5985f14.json new file mode 100644 index 0000000000..cfbc047f0f --- /dev/null +++ b/data/questions/55/33/0b26b5985f14.json @@ -0,0 +1 @@ +{"content":"crwdns4115800:0$ABCD$crwdne4115800:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5a891fab50b9f3973c6cb8f989b71a29076540fd","width":425},"correct":{"coords":[[-1,-4],[-2,-3],[-2,-1],[-7,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/54/2c13547e92c3.json b/data/questions/55/54/2c13547e92c3.json new file mode 100644 index 0000000000..ff80be19c4 --- /dev/null +++ b/data/questions/55/54/2c13547e92c3.json @@ -0,0 +1 @@ +{"content":"crwdns4203568:0$4$crwdnd4203568:0$40$crwdnd4203568:0$m$crwdnd4203568:0$b$crwdnd4203568:0$bcrwdnd4203568:0$5$crwdnd4203568:0$9$crwdne4203568:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,20],[9,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns3884584:0{Minutes}crwdne3884584:0","crwdns4203646:0{Balloons remaining}crwdne4203646:0"],"markings":"graph","range":[[-1,10],[-1,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/61/e5512a26c2b7.json b/data/questions/55/61/e5512a26c2b7.json new file mode 100644 index 0000000000..022f463df6 --- /dev/null +++ b/data/questions/55/61/e5512a26c2b7.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1abac7e75feced028b622d07152cae6e27471570","width":425},"correct":{"coords":[[0,-10],[0,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/67/1da250a2d765.json b/data/questions/55/67/1da250a2d765.json new file mode 100644 index 0000000000..ddb94e5c6d --- /dev/null +++ b/data/questions/55/67/1da250a2d765.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea69c8407c11e1ef28a1f20162cb275ec69ac2ea","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[7,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/79/7dde35bceba1.json b/data/questions/55/79/7dde35bceba1.json new file mode 100644 index 0000000000..e794362afa --- /dev/null +++ b/data/questions/55/79/7dde35bceba1.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{4}(x +3)(x +7)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-5,3],[-3,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/7a/7518771f3d78.json b/data/questions/55/7a/7518771f3d78.json new file mode 100644 index 0000000000..9807f9d333 --- /dev/null +++ b/data/questions/55/7a/7518771f3d78.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\cos\\left(\\dfrac{\\pi}{6}x\\right)-6$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[3,-6],[0,-9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/7a/9fedd5338b69.json b/data/questions/55/7a/9fedd5338b69.json new file mode 100644 index 0000000000..d5ae19a3dc --- /dev/null +++ b/data/questions/55/7a/9fedd5338b69.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=9\\cdot\\left(\\dfrac{2}{3}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,6],[0,9]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/7c/ad48f74f2cd1.json b/data/questions/55/7c/ad48f74f2cd1.json new file mode 100644 index 0000000000..351abd7974 --- /dev/null +++ b/data/questions/55/7c/ad48f74f2cd1.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(0,5)$ and $(-8,0)$, and a side measuring $10$ units on the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,5],[-8,0],[0,-5]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/82/d0047faf4bd0.json b/data/questions/55/82/d0047faf4bd0.json new file mode 100644 index 0000000000..3288a82206 --- /dev/null +++ b/data/questions/55/82/d0047faf4bd0.json @@ -0,0 +1 @@ +{"content":"$\\triangle{TRY}$ is reflected over the line $y=\\dfrac{1}{3}x-2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/216537b0280134b2effc8974548d7217a6742850","width":425},"correct":{"coords":[[1,1],[1,4],[-4,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad75d041b76209ed3528c53beedbb12b7ab94c86","width":425},"correct":{"coords":[[-1,8],[4,3],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2f4342502840839769a07b4a35a13833e4e3cc2f","width":425},"correct":{"coords":[[-7,-1],[5,3],[1,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/86/a25a5fcb584d.json b/data/questions/55/86/a25a5fcb584d.json new file mode 100644 index 0000000000..5a624925ed --- /dev/null +++ b/data/questions/55/86/a25a5fcb584d.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-6x^2+6x-6$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[0.5,-4.5],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-6},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-4.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/8e/e9ae6c704c77.json b/data/questions/55/8e/e9ae6c704c77.json new file mode 100644 index 0000000000..65840e512d --- /dev/null +++ b/data/questions/55/8e/e9ae6c704c77.json @@ -0,0 +1 @@ +{"content":"crwdns3074209:0{A}crwdnd3074209:0{B}crwdne3074209:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":true},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":true},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/b11da9535dfcfde9c2afc3d87b62051d19f01586.png","width":400},"correct":{"coords":[[-7,-3],[7,3]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/97/6cc85c5497cc.json b/data/questions/55/97/6cc85c5497cc.json new file mode 100644 index 0000000000..e0194bb9bc --- /dev/null +++ b/data/questions/55/97/6cc85c5497cc.json @@ -0,0 +1 @@ +{"content":"Consider this matrix transformation:\n\n$\\left[\\begin{array}{c}\n0 & -3\n\\\\\\\\\n-1 & -2\n\\end{array}\\right]$\n\nBelow is an interactive graph with the unit square graphed in it.\n\n**Draw the image of the unit square under this transformation.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e39c1c4aea2324861693fd34915606378a180911","width":425},"correct":{"coords":[[0,-1],[-3,-3],[-3,-2],[0,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/98/b49f2186fb1a.json b/data/questions/55/98/b49f2186fb1a.json new file mode 100644 index 0000000000..7a263ea398 --- /dev/null +++ b/data/questions/55/98/b49f2186fb1a.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/43ff893213c3df88e93b7b00115a42197d8555af","width":430},"correct":{"coords":[[1.5,-2.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/a0/2abfe2f295c5.json b/data/questions/55/a0/2abfe2f295c5.json new file mode 100644 index 0000000000..c9239289e4 --- /dev/null +++ b/data/questions/55/a0/2abfe2f295c5.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(0, 9), (8, 0), (0, -7), (-5, 0), (-5, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,9],[8,0],[0,-7],[-5,0],[-5,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/55/a8/947bf7e45cad.json b/data/questions/55/a8/947bf7e45cad.json new file mode 100644 index 0000000000..f757c59756 --- /dev/null +++ b/data/questions/55/a8/947bf7e45cad.json @@ -0,0 +1 @@ +{"content":"**Graph the best function in the world.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","sinusoid","exponential","quadratic","absolute_value","tangent","logarithm"],"correct":{"asymptote":null,"coords":[[-1.5,5],[3.5,2]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/b6/bda7ab4cb8e3.json b/data/questions/55/b6/bda7ab4cb8e3.json new file mode 100644 index 0000000000..fb14998933 --- /dev/null +++ b/data/questions/55/b6/bda7ab4cb8e3.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism with a triangular base. The base of the prism has the shape of an equilateral triangle with side length $2$. The height of the prism is $3$.\n\n![prism with a triangular base](https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png)\n \n**Drag the corners of the triangle below to draw the shape of a horizontal slice through the prism.**\n\nThe starter triangle is only approximate. Draw the exact side lengths.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png":{"height":280,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2.6199919742971387,0.853372332149325],[1.4999999999999998,2.510362971081844],[0.6250000000000016,0.7119261498395746]],"match":"similar","numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"grid","range":[[-1,4],[-1,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/bd/84740ad423ff.json b/data/questions/55/bd/84740ad423ff.json new file mode 100644 index 0000000000..092e4f062a --- /dev/null +++ b/data/questions/55/bd/84740ad423ff.json @@ -0,0 +1 @@ +{"content":"crwdns3462796:0$ycrwdnd3462796:0{1}crwdnd3462796:0{8}crwdne3462796:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-2],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/cf/e5c421414c11.json b/data/questions/55/cf/e5c421414c11.json new file mode 100644 index 0000000000..ea24dd60eb --- /dev/null +++ b/data/questions/55/cf/e5c421414c11.json @@ -0,0 +1 @@ +{"content":"Jane earns money walking dogs on the weekends. Jane charges $\\$5$ for each dog she walks.\n\n**Complete the table for the given ratio.** \n \nDogs, $x$ | Charge in dollars, $y$ \n:-: | :-: \n$1$ | $5$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,25],[3,15],[1,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,7],[-2,35]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":25}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/d2/e0d24e0d84b3.json b/data/questions/55/d2/e0d24e0d84b3.json new file mode 100644 index 0000000000..c71fcb4780 --- /dev/null +++ b/data/questions/55/d2/e0d24e0d84b3.json @@ -0,0 +1 @@ +{"content":"A doctor collected data on how many hours children of different ages slept in a day. Data for $5$ participants are shown below.\n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Age (years)** | $1$ | $2$ | $3$ | $5$ | $8$\n**Sleep (hours)** | $13$ | $11$ | $10$ | $9$ | $8$ \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,13],[2,11],[3,10],[5,9],[8,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Age}$","$\\text{Sleep}$"],"markings":"graph","range":[[-1,11],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/d7/b32f91bf2465.json b/data/questions/55/d7/b32f91bf2465.json new file mode 100644 index 0000000000..7639b7fff7 --- /dev/null +++ b/data/questions/55/d7/b32f91bf2465.json @@ -0,0 +1 @@ +{"content":"The graph of the equation $y=\\dfrac{2}{3}x+2$ is shown on the coordinate grid below.\n\n$y=\\dfrac{2}{3}x+2$ is part of a system of two linear equations. The second equation's graph has a slope of $\\dfrac{5}{3}$ and a $y$-intercept of $8$.\n\n**Graph the second equation on the same grid.**\n\n**What is the solution to the system of equations?** \n$($[[☃ input-number 1]], [[☃ input-number 2]]$)$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/1cfda8b99d781125b2be81d146d3aff687fb46ba.png","width":425},"correct":{"coords":[[-3,3],[0,8]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/d8/4be486435888.json b/data/questions/55/d8/4be486435888.json new file mode 100644 index 0000000000..171982b505 --- /dev/null +++ b/data/questions/55/d8/4be486435888.json @@ -0,0 +1 @@ +{"content":"**On the graph below, use the two points to draw a line through the point $(3,-4)$ that will create a system of equations with *no* solutions.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/10208f08f48a2dd2f8d788e3b7be8faa41c62a5f.png","width":425},"correct":{"coords":[[3,-4],[4,-2]],"type":"linear"},"graph":{"type":"linear"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/55/e4/6c85fd4928f3.json b/data/questions/55/e4/6c85fd4928f3.json new file mode 100644 index 0000000000..052bf5ef4a --- /dev/null +++ b/data/questions/55/e4/6c85fd4928f3.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0fa61c4b55d56b8509bb4d7dfd3e79d0ca6b238e","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[2,-6],[6,0],[0,-7]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/55/f1/6f1734f17bff.json b/data/questions/55/f1/6f1734f17bff.json new file mode 100644 index 0000000000..ed3013a9a1 --- /dev/null +++ b/data/questions/55/f1/6f1734f17bff.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2b614d8edb8dd56b81b5e2e174f0d77dad9e18b5","width":425},"correct":{"coords":[[5,-6],[-3,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/00/1e8805690069.json b/data/questions/56/00/1e8805690069.json new file mode 100644 index 0000000000..12cc6649d9 --- /dev/null +++ b/data/questions/56/00/1e8805690069.json @@ -0,0 +1 @@ +{"content":"**Construct a $155^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[9.042237334209203,-4.783535484203209],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/00/3c8803f97ec0.json b/data/questions/56/00/3c8803f97ec0.json new file mode 100644 index 0000000000..4f8f6b1f1d --- /dev/null +++ b/data/questions/56/00/3c8803f97ec0.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=0.2(x-2)^2-5$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[2,-5],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":3}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/06/ae82301927ba.json b/data/questions/56/06/ae82301927ba.json new file mode 100644 index 0000000000..fd3dc05b68 --- /dev/null +++ b/data/questions/56/06/ae82301927ba.json @@ -0,0 +1 @@ +{"content":"[[☃ passage 1]]\n\n=====\n\n[[☃ group 1]]\n\n[[☃ group 2]]\n\n[[☃ group 3]]\n\n[[☃ group 4]]\n\n[[☃ group 5]]\n\n[[☃ group 6]]\n\n[[☃ group 7]]\n\n[[☃ group 8]]\n\n[[☃ group 9]]\n\n[[☃ group 10]]\n\n[[☃ group 11]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"group 1":{"graded":true,"options":{"content":"To make the paragraph most logical, sentence 2 should be placed\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGorQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIG8vAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice results in an illogical sequence of ideas. In this context, it's more effective to place the claim about the popularity of choir singing before the specific evidence supporting that point.\n","content":"where it is now.","correct":false},{"clue":"This choice is the best answer because it results in the most logical sequence of ideas. In this context, it's more effective to place the claim about the popularity of choir singing before the specific evidence supporting that point.\n","content":"at the beginning of the paragraph.","correct":true},{"clue":"This choice results in an illogical sequence of ideas. It does not make sense to state the popularity of choir singing between the question and answer structure of sentences 3 and 4.\n","content":"after sentence 3.","correct":false},{"clue":"This choice results in an illogical sequence of ideas. 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a semicolon is not a conventional choice for setting off a nonessential element.\n","content":"disease; a prior finding independent of the 2013 study.","correct":false},{"clue":"This choice results in a grammatically incorrect structure: a colon is not a conventional choice for setting off a nonessential element.\n","content":"disease: a prior finding independent of the 2013 study.","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 5":{"graded":true,"options":{"content":"Which choice most effectively establishes the main topic of the paragraph?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7KsAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP6eqQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice, instead of establishing the main topic of the paragraph, would begin the paragraph with information related to the topic of the previous paragraph.\n","content":"NO CHANGE","correct":false},{"clue":"This choice, instead of establishing the main topic of the paragraph, would begin the paragraph by referencing the topic of the next paragraph.\n","content":"Singing in a choir can help prevent depression.","correct":false},{"clue":"This choice is the best answer because it clearly establishes the main topic of the paragraph: the neurological effects of choir singing.\n","content":"The brain tends to respond favorably to group singing.","correct":true},{"clue":"This choice, instead of establishing the main topic of the paragraph, would begin the paragraph by referencing a topic from the previous paragraph.\n","content":"Several studies show that people report feeling happier when they sing together.","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 6":{"graded":true,"options":{"content":"Which choice most effectively combines the sentences at the underlined portion?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoMHktgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice results in a repetitive and awkward construction.\n","content":"endorphins, which end up blunting","correct":false},{"clue":"This choice is the best answer because it combines the sentences logically and efficiently.\n","content":"endorphins, which blunt","correct":true},{"clue":"This choice results in an illogical construction. 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It doesn't make sense to say that therapists would recommend singing a choir despite its positive effects.\n","content":"Despite","correct":false},{"clue":"This choice doesn't provide the most effective transition between the positive effects of choir singing and therapist recommendations. The logical relationship between these two ideas is causal.\n","content":"In addition to","correct":false},{"clue":"This choice doesn't provide the most effective transition between the positive effects of choir singing and therapist recommendations. The logical relationship between these two ideas is causal.\n","content":"Besides","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 8":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGNqwoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice is not the most contextually appropriate way to indicate that therapists use choir singing as an additional form of treatment. While ‘element’ does offer some sense of addition, it does not imply any therapeutic benefit.","content":"NO CHANGE","correct":false},{"clue":"While this choice does offer some sense of addition, it is awkward and unconventional to refer to this type of treatment as an ‘accessory,’ which suggests something unnecessary or frivolous.","content":"an accessory","correct":false},{"clue":"This choice is the best answer because it provides the most precise wording for this particular context.\n","content":"a supplement","correct":true},{"clue":"While this choice does offer some sense of addition, it incorrectly suggests the treatment is a sort of afterthought or postscript.\n","content":"an addendum","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 9":{"graded":true,"options":{"content":"[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIHRsgoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGbugoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"This choice results in wordiness.\n","content":"NO CHANGE","correct":false},{"clue":"This choice results in wordiness.\n","content":"reporting that they were suffering from clinical depression.","correct":false},{"clue":"This choice results in redundancy: \"the end of that year\" has already been stated in the previous part of the sentence.\n","content":"suffering from clinical depression by the end of that year.","correct":false},{"clue":"This choice is the best answer because it offers clear and concise wording.\n","content":"clinically depressed.","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"passage 1":{"graded":true,"options":{"footnotes":"","passageText":"[1] In 2013, 32.5 million adults in the United States, roughly 10 percent of the population, sang in choirs, and England is home to more than 3,000 active choral groups. [2] Choir singing is a popular pastime. [3] These singers often report an increased sense of well-being and camaraderie, but does this hobby actually result in better health? [4] According to multiple scientific studies, singing—especially with others—provides concrete benefits to heart and brain health. [[1]]\n \nA 2013 study at Sweden’s University of Gothenburg examined the heart rates of 18 young people as they sang and hummed [[2]] __for__ unison. Heart rate variability (HRV), the increase and decrease in heart rate, occurred simultaneously with subjects’ slowed breathing while singing. This combination of fluctuating heart rate and slowed breathing [[3]] __are__ called respiratory sinus arrhythmia (RSA), and it has been proven to reduce the likelihood of cardiovascular [[4]] __disease a prior finding independent of the 2013 study.__ One interesting finding from this study is that the subjects’ heartbeats synchronized while they sang together. This may be a factor in choir singers’ reported feelings of happiness and bonding.\n \n[[5]] __People feel a keen sense of bonding when they sing together.__ Singing stimulates the right temporal lobe of the brain and releases [[6]] __endorphins. Endorphins blunt__ pain and engender feelings of pleasure. Cortisol, a hormonal reaction to stress and the secretion of which the brain controls, decreases after choir singing. Meanwhile, oxytocin, which the brain interprets as a feeling of emotional bonding, is increased. In a study at Oxford Brookes University, researchers surveyed 375 people who either sang alone, sang in a choir, or participated in organized sports. Those who sang in choir reported the highest levels of happiness. [[7]] __Due to__ its positive side effects, therapists have used choir singing as [[8]] __an element__ for those dealing with depression and chronic pain. A study from an arts and health research center in Canterbury, England, followed the progress of patients diagnosed with depression for a year after they joined a choir. Sixty percent of patients reported improved mental health at the end of that year, and some were no longer [[9]] __experiencing suffering from clinical depression.__\n \n[[10]] From the changes in heartbeat and breathing that result in a healthier heart, to the reduction of cortisol and production of endorphins that lower stress and increase [[11]] __happiness. Choir__ singing fulfills humans by letting them create art while being part of a group.","passageTitle":"Preaching to the Choir: the Health Benefits of Singing","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/0c/894ee0869946.json b/data/questions/56/0c/894ee0869946.json new file mode 100644 index 0000000000..ac564d1615 --- /dev/null +++ b/data/questions/56/0c/894ee0869946.json @@ -0,0 +1 @@ +{"content":"$\\triangle{SAM}$ is rotated $270^\\circ$ about the point $(4,-2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1c1f67836c4bfe1f959ee953912571af198fade3","width":400},"correct":{"coords":[[7,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/22/ac3c9de8c9ad.json b/data/questions/56/22/ac3c9de8c9ad.json new file mode 100644 index 0000000000..bfb5a74929 --- /dev/null +++ b/data/questions/56/22/ac3c9de8c9ad.json @@ -0,0 +1 @@ +{"content":"crwdns6645410:0$f$crwdnd6645410:0$f$crwdne6645410:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/824e3ae76682db1d491aafe9fc34a65caf4c2b8a","width":400},"correct":{"coords":[[4,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-0.5,5],[-2,23]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/27/206573da56b1.json b/data/questions/56/27/206573da56b1.json new file mode 100644 index 0000000000..96ee940da3 --- /dev/null +++ b/data/questions/56/27/206573da56b1.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2(x +2)(x +6)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,-8],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/2b/d15facb34994.json b/data/questions/56/2b/d15facb34994.json new file mode 100644 index 0000000000..62d898a1e3 --- /dev/null +++ b/data/questions/56/2b/d15facb34994.json @@ -0,0 +1 @@ +{"content":"crwdns4115792:0crwdne4115792:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bcc823f43b71756bd05e70fd3a6963320ed697f","width":425},"correct":{"coords":[[0,4],[-4,6],[-3,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/33/8d58609ea393.json b/data/questions/56/33/8d58609ea393.json new file mode 100644 index 0000000000..f5ca30c6fe --- /dev/null +++ b/data/questions/56/33/8d58609ea393.json @@ -0,0 +1 @@ +{"content":"**Construct a $75^\\circ$ angle.** \n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/38/9adcc5895406.json b/data/questions/56/38/9adcc5895406.json new file mode 100644 index 0000000000..d7f3468e03 --- /dev/null +++ b/data/questions/56/38/9adcc5895406.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dc5b389c1ab3dfb10cde02bd5de49610c0eff488","width":430},"correct":{"coords":[[7,7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/3f/186e284da12b.json b/data/questions/56/3f/186e284da12b.json new file mode 100644 index 0000000000..21f4f87df7 --- /dev/null +++ b/data/questions/56/3f/186e284da12b.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $5$, $12$, and $13.$**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.200000000000003,-2.4248711305964292],[-0.023446292190627105,9.869944907758159],[-0.7897936071363304,-2.1055597493690543]],"match":"similar","showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/40/72b6fa4f781f.json b/data/questions/56/40/72b6fa4f781f.json new file mode 100644 index 0000000000..c767613060 --- /dev/null +++ b/data/questions/56/40/72b6fa4f781f.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d918505e522ef82ac66762f934dd483fd89b2392","width":430},"correct":{"coords":[[3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/44/2d657f6661dd.json b/data/questions/56/44/2d657f6661dd.json new file mode 100644 index 0000000000..21074a3c4c --- /dev/null +++ b/data/questions/56/44/2d657f6661dd.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(5,-4)$, and which has the point $(1,-1)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/48/db36e6862931.json b/data/questions/56/48/db36e6862931.json new file mode 100644 index 0000000000..9d15d367c7 --- /dev/null +++ b/data/questions/56/48/db36e6862931.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=10\\cdot\\left(\\dfrac{3}{5}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,10],[1,6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/60/9d5c58ee9c51.json b/data/questions/56/60/9d5c58ee9c51.json new file mode 100644 index 0000000000..31854a5c3d --- /dev/null +++ b/data/questions/56/60/9d5c58ee9c51.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=g(x)$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3657b0ffa470ced789a22bb01d807d30ef6df90b","width":400},"correct":{"coords":[[-3,1],[-1,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/67/90ba7d18396b.json b/data/questions/56/67/90ba7d18396b.json new file mode 100644 index 0000000000..979f69ac63 --- /dev/null +++ b/data/questions/56/67/90ba7d18396b.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $1$, Rule: add $1$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$1$ | $6$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,6],[2,12],[3,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/69/8a1e57ac17dc.json b/data/questions/56/69/8a1e57ac17dc.json new file mode 100644 index 0000000000..2a13e0910c --- /dev/null +++ b/data/questions/56/69/8a1e57ac17dc.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599c6aecef56b5ca5cc9c222590354c5603561fa","width":430},"correct":{"coords":[[-2,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/7c/3934fadff397.json b/data/questions/56/7c/3934fadff397.json new file mode 100644 index 0000000000..cba0bb4dab --- /dev/null +++ b/data/questions/56/7c/3934fadff397.json @@ -0,0 +1 @@ +{"content":"Rico opens an ice cream shop. The function $f$ models the shop's net worth (in thousands of dollars) as a function of time (in months) after Rico opens it.\n\n**Plot the point on the graph of $f$ that corresponds to the shop's net worth when Rico opens it.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0556104f4a8ef7f6488919e51ad981bd722d40dd","width":400},"correct":{"coords":[[0,-5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"none","range":[[-2,7],[-12,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/84/bdfd40d415fe.json b/data/questions/56/84/bdfd40d415fe.json new file mode 100644 index 0000000000..21ad6d3504 --- /dev/null +++ b/data/questions/56/84/bdfd40d415fe.json @@ -0,0 +1 @@ +{"content":"Vectors $\\vec{a}$ and $\\vec{b}$ are drawn in the interactive graph below. \n \n**Click to graph the terminal point of the vector obtained by adding $\\vec{a}$ and $\\vec{b}$, whose initial point is the origin.** \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/27acfe3186bce6123788820498c86fea962741a9","width":400},"correct":{"coords":[[3,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/93/df9f6192ae9f.json b/data/questions/56/93/df9f6192ae9f.json new file mode 100644 index 0000000000..d0717f8984 --- /dev/null +++ b/data/questions/56/93/df9f6192ae9f.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a quadrilateral with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.5,0],[0,6.5],[-7.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/56/94/98d59a405a5e.json b/data/questions/56/94/98d59a405a5e.json new file mode 100644 index 0000000000..edb8ca4e4d --- /dev/null +++ b/data/questions/56/94/98d59a405a5e.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-8$|$-5$|$0$|$7$|$0$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe70160792319482e4ccad557ff64244ece26433","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,-5]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/56/a0/bb873021ee1a.json b/data/questions/56/a0/bb873021ee1a.json new file mode 100644 index 0000000000..4ba7ae2c65 --- /dev/null +++ b/data/questions/56/a0/bb873021ee1a.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=-2|x +4|$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-4,0],[-3,-2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/a7/1689615b95ac.json b/data/questions/56/a7/1689615b95ac.json new file mode 100644 index 0000000000..844094c50f --- /dev/null +++ b/data/questions/56/a7/1689615b95ac.json @@ -0,0 +1 @@ +{"content":"crwdns3457942:0$xcrwdne3457942:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-2],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/b3/c5b7cf973b3e.json b/data/questions/56/b3/c5b7cf973b3e.json new file mode 100644 index 0000000000..09be6f10ec --- /dev/null +++ b/data/questions/56/b3/c5b7cf973b3e.json @@ -0,0 +1 @@ +{"content":"crwdns3144318:0{OG}crwdne3144318:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/567155d84afcfa01baf0a44afd994fce3df17b5c","width":425},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/c2/6d56e3a7c2c0.json b/data/questions/56/c2/6d56e3a7c2c0.json new file mode 100644 index 0000000000..17cb4e4cff --- /dev/null +++ b/data/questions/56/c2/6d56e3a7c2c0.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(7, 6)$ and $(0, 6)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/d2/fe05547bfa5f.json b/data/questions/56/d2/fe05547bfa5f.json new file mode 100644 index 0000000000..9d9b5e4ee5 --- /dev/null +++ b/data/questions/56/d2/fe05547bfa5f.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-\\log_2(x+2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"logarithm","asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]]},"availableTypes":["logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/e1/f088c8208073.json b/data/questions/56/e1/f088c8208073.json new file mode 100644 index 0000000000..6b6f160f5b --- /dev/null +++ b/data/questions/56/e1/f088c8208073.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(7,7)$, $(7,4)$, $(3,4)$, and $(3,7)$.\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the length of the longer side of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,4],[7,4],[3,7],[7,7]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/e4/590bb69fdf11.json b/data/questions/56/e4/590bb69fdf11.json new file mode 100644 index 0000000000..e59ccea631 --- /dev/null +++ b/data/questions/56/e4/590bb69fdf11.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -4|x+2|+8, ~~\\text{Domain}~~[-6,1]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-2},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-2,8],[1,-4]],[[-6,-8],[-2,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/56/e5/728c990b1e5e.json b/data/questions/56/e5/728c990b1e5e.json new file mode 100644 index 0000000000..0823e8ac5b --- /dev/null +++ b/data/questions/56/e5/728c990b1e5e.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (6.5,0), (0, -4.5), (−5.5, -3.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[6.5,0],[0,-4.5],[-5.5,-3.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/56/ef/c75c0283299e.json b/data/questions/56/ef/c75c0283299e.json new file mode 100644 index 0000000000..a5dfffcba6 --- /dev/null +++ b/data/questions/56/ef/c75c0283299e.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(8,-5)$, $(3\\dfrac12,0)$, and $(-6,-4)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-4],[8,-5],[3.5,0]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/f2/48881b43d701.json b/data/questions/56/f2/48881b43d701.json new file mode 100644 index 0000000000..714a1cf65f --- /dev/null +++ b/data/questions/56/f2/48881b43d701.json @@ -0,0 +1 @@ +{"content":"crwdns3144292:0{RUG}crwdne3144292:0","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5cc9797e149c7562c4b6e9149d055fbf2aff382","width":425},"correct":{"coords":[[1,-6],[-1,-8],[7,-8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/fa/1d942bff164b.json b/data/questions/56/fa/1d942bff164b.json new file mode 100644 index 0000000000..335e86ba63 --- /dev/null +++ b/data/questions/56/fa/1d942bff164b.json @@ -0,0 +1 @@ +{"content":"Hexagon $SHRIMP$ undergoes the translation $T_{(0,6)}$. \n\n**Draw the image of this translation using the interactive graph.**\n\n[[☃ interactive-graph 5]]\n\n","images":{},"widgets":{"interactive-graph 5":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4d29c6189dcc3d2e4a871c348515bea655c6b1e0","width":400},"correct":{"coords":[[2,2],[3,6],[8,4],[6,4],[4,2],[5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/fb/64bb39eecdff.json b/data/questions/56/fb/64bb39eecdff.json new file mode 100644 index 0000000000..90886f1ed5 --- /dev/null +++ b/data/questions/56/fb/64bb39eecdff.json @@ -0,0 +1 @@ +{"content":"crwdns5574159:0$-5$crwdne5574159:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-4,1],[-3,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/56/fe/e51263d9afff.json b/data/questions/56/fe/e51263d9afff.json new file mode 100644 index 0000000000..23d5e2f797 --- /dev/null +++ b/data/questions/56/fe/e51263d9afff.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$120$|$6$|$24$|$2$|$1$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d2896239bfd9b195b0ce07265fa6e275543a64b3","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-1]],[[-5,0],[5,-4]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/56/ff/d83e9851c7ca.json b/data/questions/56/ff/d83e9851c7ca.json new file mode 100644 index 0000000000..4da7a6ac56 --- /dev/null +++ b/data/questions/56/ff/d83e9851c7ca.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n**This passage is adapted from Martin Luther King, Jr.’s “Beyond Vietnam” speech. As the [[☃ definition 1]] escalated in 1967, King—America’s leading civil rights activist—delivered a speech about America’s involvement in the war.** \n\nAnd some of us who have already begun to break the silence of the night have found that the calling to speak is often a [[☃ definition 2]] of agony, but we must speak. We must speak with all the humility that is appropriate to our limited vision, but we must speak. And we must rejoice as well, for surely this is the first time in our nation's history that a significant number of its religious leaders have chosen to move beyond smooth patriotism to the high grounds of a firm _dissent_ based upon the [[☃ definition 3]] of conscience and the reading of history. Perhaps a new spirit is rising among us. \n\n\n[[☃ explanation 2]]\n\n**As used in the passage, *dissent* most nearly means \\_\\_\\_\\.**\n\n[[☃ radio 1]]\n\n[[☃ explanation 1]]\n\n","images":{},"widgets":{"definition 1":{"alignment":"default","graded":true,"options":{"definition":"The Vietnam War (1961–1975) was originally a war between North and South Vietnam, though allies of both nations quickly got involved. The U.S. entered the war in 1965 on behalf of South Vietnam.\n","static":false,"togglePrompt":"Vietnam War"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"definition 2":{"alignment":"default","graded":true,"options":{"definition":"vo·ca·tion (voh-KAY-shun): a job or career that someone feels strongly called to do\n","static":false,"togglePrompt":"vocation"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"definition 3":{"alignment":"default","graded":true,"options":{"definition":"man·dates (man-DATES): orders or commands\n","static":false,"togglePrompt":"mandates"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"explanation 1":{"alignment":"default","graded":true,"options":{"explanation":"Text Attribution: Text is excerpted from “Beyond Vietnam: A Time to Break the Silence” by Martin Luther King (1963), © Estate of Martin Luther King, Jr.\n\nAttribution: Public domain image provided by the Minnesota Historical Society","hidePrompt":"Hide attributions","showPrompt":"Attributions","static":false,"widgets":{}},"static":false,"type":"explanation","version":{"major":0,"minor":0}},"explanation 2":{"alignment":"default","graded":true,"options":{"explanation":"explanation goes here\n\nmore explanation","hidePrompt":"Ok—got it!","showPrompt":"Reading tip!","static":false,"widgets":{}},"static":false,"type":"explanation","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"Martin Luther King, Jr. speaks against the Vietnam War in 1967.","backgroundImage":{"height":876,"url":"https://cdn.kastatic.org/ka-content-images/54d4218cb7684f5fe28fedf6daae89b134b85513.png","width":1276},"box":[1276,876],"caption":"Martin Luther King, Jr. speaks against the Vietnam War in 1967.","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"clue":"This isn’t the meaning of *dissent*. The speech focuses on the need to speak out against the Vietnam War. In this sentence, King praises religious leaders for being willing to express “a firm dissent.” If *dissent* meant “acceptance,” King would be praising leaders for supporting the war, which is the opposite of his meaning. \n","content":"acceptance\n","correct":false},{"clue":"**This is the best choice.** The speech focuses on the need to speak out against the Vietnam War. King praises religious leaders who have “moved beyond smooth patriotism” and are willing to express “a firm dissent.” That is, he is praising leaders who express strong opposition to the war. *Opposition* is the best synonym of *dissent* in the context of the speech. \n","content":"opposition\n","correct":true},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” *Scarcity* means “a lack of something.” It wouldn’t make sense for King to praise people who express “a firm lack of something.”\n","content":"scarcity\n","correct":false},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” It wouldn’t make sense for King to praise people who express “a firm gratitude” for the war because King is opposed to the war.\n","content":"gratitude","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/57/0d/9fd2d6330fdc.json b/data/questions/57/0d/9fd2d6330fdc.json new file mode 100644 index 0000000000..66368cbefa --- /dev/null +++ b/data/questions/57/0d/9fd2d6330fdc.json @@ -0,0 +1 @@ +{"content":"Aidan is participating in an $8$-mile walk for his favorite charity. The walk organizers plotted the course on a coordinate map. The starting point is at $(3,1)$, and the ending point is at $(3,9)$. There's a water station at $(3,7)$ to make sure the walkers stay hydrated.\n\n**Plot the starting point, ending point, and water station on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Aidan be in the walk when he reaches the water station?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[3,1],[3,7],[3,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□ □□□□□□□ □□□□□□□ □□□ □□□□","correct":false},{"content":"□□□□□□□ □□□□□□□ □□□ □□□□","correct":false},{"content":"□□□□ □□□□ □□□□□□□ □□□□□□□ □□□ □□□□","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/57/0f/434f00f94e50.json b/data/questions/57/0f/434f00f94e50.json new file mode 100644 index 0000000000..e758d2aa26 --- /dev/null +++ b/data/questions/57/0f/434f00f94e50.json @@ -0,0 +1 @@ +{"content":"crwdns3457598:0$(x-8)crwdne3457598:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[8,-5],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/28/65ab06f33aeb.json b/data/questions/57/28/65ab06f33aeb.json new file mode 100644 index 0000000000..40177a6f5a --- /dev/null +++ b/data/questions/57/28/65ab06f33aeb.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb9e6939086d4aad4fff70e6878fa43be30e40e0","width":430,"height":430},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[7,0]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/30/40a01874bf42.json b/data/questions/57/30/40a01874bf42.json new file mode 100644 index 0000000000..ccc6b5ac73 --- /dev/null +++ b/data/questions/57/30/40a01874bf42.json @@ -0,0 +1 @@ +{"content":"Jennifer drives at a constant speed of $3$ miles per $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents distance (in miles). \n\n**Plot points to show how far Jennifer has driven after $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,4.5],[4,3],[2,1.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/3a/dd322e75e7f4.json b/data/questions/57/3a/dd322e75e7f4.json new file mode 100644 index 0000000000..b65ffd45f7 --- /dev/null +++ b/data/questions/57/3a/dd322e75e7f4.json @@ -0,0 +1 @@ +{"content":"Jimmy will be selling hot dogs at the football game. He bought hot dogs, buns and condiments for $\\$8$, and plans to sell the hot dogs for $\\$1$ each at the game. The graph below shows the profit $y$ he will make as a function of the number $x$ of hot dogs sold.\n\n![](https://ka-perseus-graphie.s3.amazonaws.com/402550910831d08a17618f9acee52123d09e4e9e.png)\n\n**If Jimmy sells the hot dogs for $\\$2$ instead, what will be the new graph of the profit?**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/402550910831d08a17618f9acee52123d09e4e9e.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,-8],[4,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-2,18],[-9,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/3b/6ee442cea4cc.json b/data/questions/57/3b/6ee442cea4cc.json new file mode 100644 index 0000000000..be0176cbfa --- /dev/null +++ b/data/questions/57/3b/6ee442cea4cc.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-4\\cos\\left(x\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[1,3],[0,-1]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/41/7136c2256c73.json b/data/questions/57/41/7136c2256c73.json new file mode 100644 index 0000000000..dfd499e3a6 --- /dev/null +++ b/data/questions/57/41/7136c2256c73.json @@ -0,0 +1 @@ +{"content":"Harmon works for the city of Tillamook as a concrete resurfacer. He has $18{,}000$ $\\text{kg}$ of concrete for resurfacing streets and parking lots. Each street he resurfaces uses $750$ $\\text{kg}$ of concrete, and each parking lot uses $450$ $\\text{kg}$ of concrete.\n\n**Write an *inequality* that represents the number of streets $(S)$ and parking lots $(P)$ Harmon can resurface with the amount of concrete available.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $P$ on the horizontal axis and $S$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Harmon resurfaces $12$ streets $(S)$, which of the following numbers of parking lots $(P)$ can he resurface without exceeding the amount of concrete available?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"750S+450P<=18000","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[5,6],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["P","S"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,50],[-5,40]],"gridStep":[5,3],"snapStep":[2.5,1.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,24],[40,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$15$","correct":true},{"content":"$17$","correct":true},{"content":"$20$","correct":true},{"content":"$22$","correct":false},{"content":"$24$","correct":false}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/56/f548bfb8c0ec.json b/data/questions/57/56/f548bfb8c0ec.json new file mode 100644 index 0000000000..d7bff4cf64 --- /dev/null +++ b/data/questions/57/56/f548bfb8c0ec.json @@ -0,0 +1 @@ +{"content":"crwdns3898375:0$ycrwdne3898375:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,4],[1,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/59/e1e85f153950.json b/data/questions/57/59/e1e85f153950.json new file mode 100644 index 0000000000..76a88b2f25 --- /dev/null +++ b/data/questions/57/59/e1e85f153950.json @@ -0,0 +1 @@ +{"content":"Mrs. Jacobs collected data about her students. The points show age and number of baby teeth lost by $6$ of her students.\n\nThe seventh student, Rob, is $2$ years older than Yui and has lost as many teeth as Takoda and Devora have combined.\n \n\n**Plot Rob's point on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6302f62c863bfc13face9bd80b71d87f10ad77d0","width":400},"correct":{"coords":[[12,16]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-2,14],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/64/b9ce7688e39f.json b/data/questions/57/64/b9ce7688e39f.json new file mode 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b/data/questions/57/89/99d26747538e.json new file mode 100644 index 0000000000..4098c94f35 --- /dev/null +++ b/data/questions/57/89/99d26747538e.json @@ -0,0 +1 @@ +{"content":"You are an aeronautical engineer for the US Navy. You want to create a small scale drawing of an airplane wing from an F/A-$18$ jet flown by the Blue Angels. The wing is a trapezoid with parallel bases $15\\text{ ft}$ and $6\\text{ ft}$ and a side $13\\text{ ft}$ that is perpendicular to both bases.\n\n*A trapezoid has $4$ sides and at least one pair of parallel sides. *\n\n**Create a scale drawing of the wing using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[0,-7],[9,6],[-6,6],[-6,-7]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/8a/b6a130cc197b.json b/data/questions/57/8a/b6a130cc197b.json new file mode 100644 index 0000000000..c528c44617 --- /dev/null +++ b/data/questions/57/8a/b6a130cc197b.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(3,8)$ and $(3,4)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,8],[3,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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favorite type of cheese crackers has $30$ crackers for each serving.\n\n**Complete the table for the given ratio.** \n \nServings, $x$ | Crackers, $y$ \n:-: | :-: \n$1$ | $30$\n$2$| [[☃ numeric-input 3]]\n$3$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,30],[2,60],[3,90]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,7],[-2,95]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":60}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":90}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/92/236bd3f26591.json b/data/questions/57/92/236bd3f26591.json new file mode 100644 index 0000000000..5eaf30277b --- /dev/null +++ b/data/questions/57/92/236bd3f26591.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the dashed, green line segment shown below. \n\n**Drag the endpoints of the solid segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c2e06d1287d7631948c8f8e3d0d0279a2be3c371","width":425},"correct":{"coords":[[[-6,7],[-1,-2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/ad/c80af72fea2c.json b/data/questions/57/ad/c80af72fea2c.json new file mode 100644 index 0000000000..b3e2461cd8 --- /dev/null +++ b/data/questions/57/ad/c80af72fea2c.json @@ -0,0 +1 @@ +{"content":"[Q5] Consider the following trigonometric function:\n\n$\\qquad g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$\n\n**Graph $g(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[2,4],[5,6]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/b0/8b3cb428358d.json b/data/questions/57/b0/8b3cb428358d.json new file mode 100644 index 0000000000..889442ab65 --- /dev/null +++ b/data/questions/57/b0/8b3cb428358d.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -3|x+6|+4, ~~\\text{Domain}~~[-9,-3]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-6,4],[-3,-5]],[[-9,-5],[-6,4]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/57/bb/478edf19dc95.json b/data/questions/57/bb/478edf19dc95.json new file mode 100644 index 0000000000..de6713ba8f --- /dev/null +++ b/data/questions/57/bb/478edf19dc95.json @@ -0,0 +1 @@ +{"content":"Michael starts a new paper company. The function $f$ models the company's net worth (in thousands of dollars) as a function of time (in months) after Michael starts it.\n\nA company is in debt if its net worth is negative.\n\n**Plot the point on the graph of $f$ that corresponds to the first time after $6$ months at which the company is no longer in debt.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/194b5225399b37fa6532f3797150909e7dd4240f","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,18],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[14,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/e7/ad7b95390645.json b/data/questions/57/e7/ad7b95390645.json new file mode 100644 index 0000000000..47d45d7a53 --- /dev/null +++ b/data/questions/57/e7/ad7b95390645.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(9,6)$, $(9,2)$, $(3,2)$, and $(3,6)$.\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the length of the longer side of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,2],[9,2],[3,6],[9,6]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/e8/13e954d50214.json b/data/questions/57/e8/13e954d50214.json new file mode 100644 index 0000000000..5b8ec9d6ed --- /dev/null +++ b/data/questions/57/e8/13e954d50214.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(-10,14)$ and $(14,7)$, and a side measuring $14$ units that is parallel to the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-10,14],[-10,0],[14,7]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/57/eb/63be0d875a55.json b/data/questions/57/eb/63be0d875a55.json new file mode 100644 index 0000000000..dfd6640a97 --- /dev/null +++ b/data/questions/57/eb/63be0d875a55.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles right triangle with a right angle at $(-6,12)$ and another vertex at $(12,12)$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,12],[12,12],[-6,-6]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["x","y"],"markings":"graph","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/08/15c212383d6d.json b/data/questions/58/08/15c212383d6d.json new file mode 100644 index 0000000000..734acab162 --- /dev/null +++ b/data/questions/58/08/15c212383d6d.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=3e^{-0.2x}$ and let $g(x)=-2|x-3|+4$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $3e^{-0.2x}=-2|x-3|+4$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[3,4],[0,-2]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53ee732cb5f0c28c0d6595b4084b86bdc888a6b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":4.375},{"maxError":0.5,"message":"ẂẀéè'ŕřéè áàśŝķḱéèďđ ťțóò ḟíìńňďđ ťțĥȟéè ĝǧŕřéèáàťțéèŕř óòḟ ťțĥȟéè ťțẃẁóò śŝóòĺľúùťțíìóòńňśŝ. ŤŢĥȟíìśŝ áàṕṗṕṗŕřóòẍẋíìḿṁáàťțéèśŝ ťțĥȟéè ĺľéèśŝśŝéèŕř śŝóòĺľúùťțíìóòńň. ","simplify":"required","status":"wrong","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/11/a8bfbd620ba0.json b/data/questions/58/11/a8bfbd620ba0.json new file mode 100644 index 0000000000..d284c8e9d0 --- /dev/null +++ b/data/questions/58/11/a8bfbd620ba0.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 2|x+3|-5, ~~\\text{Domain}~~[-8,4]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-3},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-5},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-8,5],[-3,-5]],[[4,9],[-3,-5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/58/2b/8a5eec37f6c6.json b/data/questions/58/2b/8a5eec37f6c6.json new file mode 100644 index 0000000000..f76b5eab4e --- /dev/null +++ b/data/questions/58/2b/8a5eec37f6c6.json @@ -0,0 +1 @@ +{"content":"###Prod Example: Test correct and incorrect###\n\nThe upper-left coordinate on a rectangle is $(-1,7)$, and the upper-right coordinate is $(4,7)$. The rectangle has an area of $20$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\nAnswer coords: \n(4, 7) (4, 3) (-1, 3) (-1, 7)\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[4,7],[4,3],[-1,3],[-1,7]],"hasBeenInteractedWith":true,"numSides":4,"range":[[-10,10],[-10,10]],"showAngles":false,"showSides":false,"snapStep":[0.5,0.5],"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/39/5e2a65722c98.json b/data/questions/58/39/5e2a65722c98.json new file mode 100644 index 0000000000..4bde07dad8 --- /dev/null +++ b/data/questions/58/39/5e2a65722c98.json @@ -0,0 +1 @@ +{"content":"The climbing center wants to build a new gym halfway between the towns of Southville and Northville. Northville is located at $(6,10)$ on the map below. Southville is located at $(6,2)$. \n\n**Plot Northville, Southville, and the new gym on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the climbing center build its new gym?** \n $($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,2],[6,10],[6,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/3b/c8e644cfa420.json b/data/questions/58/3b/c8e644cfa420.json new file mode 100644 index 0000000000..7f646714d2 --- /dev/null +++ b/data/questions/58/3b/c8e644cfa420.json @@ -0,0 +1 @@ +{"content":"The $4$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $4$ points, plot the $4$ corresponding points that must be on the graph of $y=\\log_b{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3586951a3290430cb8496de9ef8ea2460c6d4b9c.png","width":425},"correct":{"coords":[[9,2],[3,1],[1,0],[27,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["x","y"],"markings":"none","range":[[-6,29],[-6,29]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/40/15401f522c24.json b/data/questions/58/40/15401f522c24.json new file mode 100644 index 0000000000..a131f876be --- /dev/null +++ b/data/questions/58/40/15401f522c24.json @@ -0,0 +1 @@ +{"content":"$x$ | $y=2^x$\n:- | :-\n$0$ | $1$\n$1$ | $2$\n$2$ | $4$\n$3$ | $8$\n\n**Plot the points.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,1],[1,2],[2,4],[3,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,10],[-2,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/45/340d22b2b52b.json b/data/questions/58/45/340d22b2b52b.json new file mode 100644 index 0000000000..69e4a58331 --- /dev/null +++ b/data/questions/58/45/340d22b2b52b.json @@ -0,0 +1 @@ +{"content":"Jai's school is located at $3^{\\text{rd}}$ Avenue and $10^{\\text{th}}$ Street, represented by the point $(3,10)$ on the map below. His soccer practice takes place at $9^{\\text{th}}$ Avenue and $2^{\\text{nd}}$ Street, represented by $(9, 2)$ on the map. To get to soccer practice after school, he walks down $3^{\\text{rd}}$ Avenue then over on $2^{\\text{nd}}$ Street.\n\n**Plot Jai's school and his soccer practice field on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Jai walk to get to soccer practice after school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":14},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,10],[9,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/5e/4ca6a3bdad09.json b/data/questions/58/5e/4ca6a3bdad09.json new file mode 100644 index 0000000000..31cb3fd5d9 --- /dev/null +++ b/data/questions/58/5e/4ca6a3bdad09.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(-2.5,2)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(-2.5,2)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.5,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ḟíìŕřśŝťț ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŚŜéèćĉóòńňďđ ʠúùáàďđŕřáàńňťț ","correct":true},{"content":"ŤŢĥȟíìŕřďđ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"Ḟóòúùŕřťțĥȟ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/58/5f/e5863ec7242c.json b/data/questions/58/5f/e5863ec7242c.json new file mode 100644 index 0000000000..8c3df7fb84 --- /dev/null +++ b/data/questions/58/5f/e5863ec7242c.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=-x+6\n\\\\\\\\\n& y=-\\dfrac{3}{2}x+9\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,9],[2,6]],[[1,5],[0,6]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/6a/dd01736a8bc0.json b/data/questions/58/6a/dd01736a8bc0.json new file mode 100644 index 0000000000..a4f2eacb22 --- /dev/null +++ b/data/questions/58/6a/dd01736a8bc0.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $4$ units to the left and $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-8,8],[-8,8]],"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d9996c57c8170779ad3002f1192c34a528b046b0","width":425,"height":425},"markings":"none","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"point","numPoints":"unlimited"},"valid":true,"correct":{"type":"point","numPoints":"unlimited","coords":[[0,3]]},"gridStep":[1,1],"snapStep":[1,1],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/7b/e0c73603daec.json b/data/questions/58/7b/e0c73603daec.json new file mode 100644 index 0000000000..910760b28a --- /dev/null +++ b/data/questions/58/7b/e0c73603daec.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{3}{8}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{3}{8}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[8,3],[0,0]]}},"version":{"major":0,"minor":0}},"expression 1":{"type":"expression","alignment":"default","static":false,"graded":true,"options":{"answerForms":[{"value":"y=3/8x","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/58/7c/f2de309e5cae.json b/data/questions/58/7c/f2de309e5cae.json new file mode 100644 index 0000000000..3bcf2ea3a0 --- /dev/null +++ b/data/questions/58/7c/f2de309e5cae.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/6b675708f3831dd6c61a41dad5b0c56a89f9e7ef.png","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,9],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[4,-2.5],[4,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/89/c069ff0489e6.json b/data/questions/58/89/c069ff0489e6.json new file mode 100644 index 0000000000..7468861e4e --- /dev/null +++ b/data/questions/58/89/c069ff0489e6.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n&-x-3y=9\n\\\\\\\\\n&6x-6y=-6\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,1],[1,2]],[[0,-3],[3,-4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-3}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/98/8eac5b7647a4.json b/data/questions/58/98/8eac5b7647a4.json new file mode 100644 index 0000000000..2999ac65c0 --- /dev/null +++ b/data/questions/58/98/8eac5b7647a4.json @@ -0,0 +1 @@ +{"content":"Wayna drew a rectangle with an area of $24$ square units.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $6$ units long.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1eb68d0c4f945072381d1cac9e146878e74f2762","width":400},"correct":{"coords":[[5,-1],[5,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,6],[-5,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/9b/1d92bed51047.json b/data/questions/58/9b/1d92bed51047.json new file mode 100644 index 0000000000..25f807a17a --- /dev/null +++ b/data/questions/58/9b/1d92bed51047.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=5\\cdot \\left(\\dfrac12\\right)^{-x-1}-2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-2],[10,-2]],"coords":[[0,8],[-1,3]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/a5/c507a4069c62.json b/data/questions/58/a5/c507a4069c62.json new file mode 100644 index 0000000000..8c5fad84d1 --- /dev/null +++ b/data/questions/58/a5/c507a4069c62.json @@ -0,0 +1 @@ +{"content":"The following tape diagram describes the relationship between the amount of red paint and the amount of blue paint in a \"Plummy Purple\" paint mix. \n \n![](https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png)\n\n\n**Fill in the table with the missing values.** \n \nRed paint cans | Blue paint cans\n:-: | :-:\n$4$ | [[☃ input-number 1]]\n[[☃ input-number 2]] | $6$ \n \n**Now graph the points listed in the table.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the amount of red paint and the amount of blue paint in a Plummy Purple paint mix proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png":{"height":160,"width":408},"https://ka-perseus-images.s3.amazonaws.com/18a5da55b673792d8cf14e91ccc132c5c81bafb8.png":{"height":436,"width":460}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":451,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/2dd935e55b1b523fd430b684d523a41b86230b8d.png","width":451},"correct":{"coords":[[80,60],[40,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**□□□**. □□□ □□□□□□□□□□□□ □□ □□□□□□□□□□□□.","correct":true},{"content":"**□□**. □□□ □□□□□□□□□□□□ □□ □□□ □□□□□□□□□□□□.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/ac/63789e6c9668.json b/data/questions/58/ac/63789e6c9668.json new file mode 100644 index 0000000000..58d64eba75 --- /dev/null +++ b/data/questions/58/ac/63789e6c9668.json @@ -0,0 +1 @@ +{"content":"crwdns3139090:0crwdne3139090:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,-3],[6,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/be/638b83dba1fd.json b/data/questions/58/be/638b83dba1fd.json new file mode 100644 index 0000000000..bd7679f7f7 --- /dev/null +++ b/data/questions/58/be/638b83dba1fd.json @@ -0,0 +1 @@ +{"content":"**8. Interactive graph**\n\nPlot the point $(6, 4)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[6,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/c0/8d57751dbaba.json b/data/questions/58/c0/8d57751dbaba.json new file mode 100644 index 0000000000..7eeb700e34 --- /dev/null +++ b/data/questions/58/c0/8d57751dbaba.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(6,1)$ and $(6,9)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,9],[6,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/c1/d40fcfa68a53.json b/data/questions/58/c1/d40fcfa68a53.json new file mode 100644 index 0000000000..bd1d98367d --- /dev/null +++ b/data/questions/58/c1/d40fcfa68a53.json @@ -0,0 +1 @@ +{"content":"crwdns3137627:0{A}crwdnd3137627:0{B}crwdnd3137627:0{C}crwdne3137627:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdf73e7def2e706df98e2bf4d738bdb8bed79614":{"height":425,"width":440}},"widgets":{"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-596e66","options":{"color":"#28AE7B","coordX":"-4.5","coordY":"-9"},"type":"point"},{"key":"point-69f344","options":{"color":"#9D38BD","coordX":"0","coordY":"5"},"type":"point"},{"key":"point-a302db","options":{"color":"#6495ED","coordX":"6","coordY":"7"},"type":"point"},{"key":"label-6f4c90","options":{"color":"#28AE7B","coordX":"-4","coordY":"-8.6","label":"A"},"type":"label"},{"key":"label-6d3fda","options":{"color":"#9D38BD","coordX":"0.55","coordY":"5.4","label":"B"},"type":"label"},{"key":"label-fce786","options":{"color":"#6495ED","coordX":"6.55","coordY":"7.4","label":"C"},"type":"label"}],"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[400,400],"editableSettings":["canvas","graph"],"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"tickStep":[1,1],"valid":true}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["",""],"left":["$\\green{A}$","$\\purple{B}$","$\\blue{C}$"],"orderMatters":false,"padding":true,"right":["$(-4.5,-9)$","$(0,5)$","$(6,7)$"]},"type":"matcher","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-3}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{},{}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"table 1":{"graded":true,"options":{"answers":[[""],[""],[""],[""]],"columns":1,"headers":[""],"rows":4},"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/c2/b8b63312d5cc.json b/data/questions/58/c2/b8b63312d5cc.json new file mode 100644 index 0000000000..53f9c70ded --- /dev/null +++ b/data/questions/58/c2/b8b63312d5cc.json @@ -0,0 +1 @@ +{"content":"crwdns3898372:0$ycrwdnd3898372:0{4}crwdnd3898372:0{5}crwdne3898372:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-7],[5,-3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/d1/7dab77789ad7.json b/data/questions/58/d1/7dab77789ad7.json new file mode 100644 index 0000000000..92e92c4749 --- /dev/null +++ b/data/questions/58/d1/7dab77789ad7.json @@ -0,0 +1 @@ +{"content":"Draw a circle with radius $15$, centered at $(5, 0)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[5,0],"radius":15,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/ed/5cd22cbf6531.json b/data/questions/58/ed/5cd22cbf6531.json new file mode 100644 index 0000000000..c599004880 --- /dev/null +++ b/data/questions/58/ed/5cd22cbf6531.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x +2y +41=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[7,-1],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/58/fe/02b9229969c5.json b/data/questions/58/fe/02b9229969c5.json new file mode 100644 index 0000000000..a2a6b21efc --- /dev/null +++ b/data/questions/58/fe/02b9229969c5.json @@ -0,0 +1 @@ +{"content":"Tygo loves to eat popsicles in the summer. His mom buys popsicles in boxes that have $6$ popsicles per box, and let's Tygo eat them all! In the graph below, $b$ is the number of boxes of popsicles Tygo's mom buys, and $p$ is the number of popsicles Tygo gets to eat.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$p=6b$\n\n**Plot points on the graph that show the number of popsicles Tygo gets to eat if his mom buys $2$ or $5$ boxes.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["\\ťțéèẍẋťț{ɃḂóòẍẋéèśŝ}","\\ťțéèẍẋťț{ṔṖóòṕṗśŝíìćĉĺľéèśŝ}"],"markings":"graph","range":[[-1,10],[-5,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/01/4eeb10cc4115.json b/data/questions/59/01/4eeb10cc4115.json new file mode 100644 index 0000000000..21f3f87141 --- /dev/null +++ b/data/questions/59/01/4eeb10cc4115.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4026301098c40e38035250f0fe4e79b3e0c4aedd","width":400},"correct":{"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-5,6],[-5,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/0b/bd2d9b8a81db.json b/data/questions/59/0b/bd2d9b8a81db.json new file mode 100644 index 0000000000..4993c4c50e --- /dev/null +++ b/data/questions/59/0b/bd2d9b8a81db.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=-\\dfrac{1}{2}x-6\n\\\\\\\\\ny=\\dfrac{1}{4}x\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,12]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,1],"coords":[[[-2,-5],[0,-6]],[[0,0],[4,1]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-2,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/0d/8b4ccbc7bbb8.json b/data/questions/59/0d/8b4ccbc7bbb8.json new file mode 100644 index 0000000000..8e925c170c --- /dev/null +++ b/data/questions/59/0d/8b4ccbc7bbb8.json @@ -0,0 +1 @@ +{"content":"crwdns3380947:0crwdne3380947:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/11/7efe33e98fb4.json b/data/questions/59/11/7efe33e98fb4.json new file mode 100644 index 0000000000..5cef0a4084 --- /dev/null +++ b/data/questions/59/11/7efe33e98fb4.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $2$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/eb3ef6959380d2b2de37ab1f0902af3c201a4ad4","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[1,-4],[7,4],[-5,6]],"showAngles":false,"snapTo":"grid","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/21/dcb535f735cb.json b/data/questions/59/21/dcb535f735cb.json new file mode 100644 index 0000000000..a54e3bbeee --- /dev/null +++ b/data/questions/59/21/dcb535f735cb.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-4(x -3)(x -1)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[2,4],[3,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/24/b31020520213.json b/data/questions/59/24/b31020520213.json new file mode 100644 index 0000000000..56fa865a40 --- /dev/null +++ b/data/questions/59/24/b31020520213.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/61ff8d9fa61c6695f2ceffe7cfba38075db08af4","width":425},"correct":{"coords":[[-7,9],[-7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/27/2b7372e0a019.json b/data/questions/59/27/2b7372e0a019.json new file mode 100644 index 0000000000..9384945786 --- /dev/null +++ b/data/questions/59/27/2b7372e0a019.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=2|x+3|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-3,2],[-2,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/39/16158e851abb.json b/data/questions/59/39/16158e851abb.json new file mode 100644 index 0000000000..a5e4d43f08 --- /dev/null +++ b/data/questions/59/39/16158e851abb.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\sin(0.25x+0.75\\pi)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-6,-5],[-2,-4.5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/39/3ebbc9bb568f.json b/data/questions/59/39/3ebbc9bb568f.json new file mode 100644 index 0000000000..e5ae2f1649 --- /dev/null +++ b/data/questions/59/39/3ebbc9bb568f.json @@ -0,0 +1 @@ +{"content":"**The pentagon shown in the graph is transformed by matrix $R$. Plot the resulting pentagon.** \n\n$R=\\left[\\begin{array} {ccc}\n0 & 3 \\\\\n3 & 0 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6e51ad1346ae10a7cf169c11fb580828b7ae101a","width":425},"correct":{"coords":[[0,-9],[9,3],[6,9],[-6,9],[-6,3]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/3c/f3ad30b1a00b.json b/data/questions/59/3c/f3ad30b1a00b.json new file mode 100644 index 0000000000..aec350fc08 --- /dev/null +++ b/data/questions/59/3c/f3ad30b1a00b.json @@ -0,0 +1 @@ +{"content":"You are an aeronautical engineer for the US Navy. You want to create a small scale drawing of an airplane wing from an F/A-$18$ jet flown by the Blue Angels. The wing is a trapezoid with parallel bases $15\\text{ ft}$ and $6\\text{ ft}$ and a side $13\\text{ ft}$ that is perpendicular to both bases.\n\n*A trapezoid has $4$ sides and at least one pair of parallel sides. *\n\n**Create a scale drawing of the wing using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[0,-7],[9,6],[-6,6],[-6,-7]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["ẍẋ","ý"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/40/ddf737de833a.json b/data/questions/59/40/ddf737de833a.json new file mode 100644 index 0000000000..8916949fff --- /dev/null +++ b/data/questions/59/40/ddf737de833a.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(0,-4)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(0,-4)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-4]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"First quadrant ","correct":false},{"content":"Second quadrant ","correct":false},{"content":"Third quadrant","correct":false},{"content":"Fourth quadrant","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/59/44/541e18ef9c92.json b/data/questions/59/44/541e18ef9c92.json new file mode 100644 index 0000000000..e964b22a94 --- /dev/null +++ b/data/questions/59/44/541e18ef9c92.json @@ -0,0 +1 @@ +{"content":"Vladamir is adjusting his diet to prepare for his next bodybuilding competition. Last week, he consumed $500$ grams of protein. This week, he wants to at least double last week's protein consumption by eating just eggs and chicken breasts. Each egg has $8$ grams of protein, and each chicken breast has $25$ grams of protein.\n\n**Write an *inequality* that represents the number of eggs $(E)$ and chicken breasts $(C)$ Vladamir will need to eat to achieve his protein goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $C$ on the horizontal axis and $E$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Vladamir eats $35$ eggs $(E)$, which of the following numbers of chicken breasts $(C)$ can he eat to meet or exceed his protein goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"8E+25C>=1000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"8e+25c\\ge1000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,125],[40,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,10],"labels":["C","E"],"markings":"graph","range":[[-5,50],[-15,155]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,5],"step":[10,25]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$21$","correct":false},{"content":"$23$","correct":false},{"content":"$24$","correct":false},{"content":"$26$","correct":false},{"content":"$30$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/47/ab4e91825116.json b/data/questions/59/47/ab4e91825116.json new file mode 100644 index 0000000000..97f09fe196 --- /dev/null +++ b/data/questions/59/47/ab4e91825116.json @@ -0,0 +1 @@ +{"content":"Vectors $\\vec{a}$ and $\\vec{b}$ are drawn in the interactive graph below. \n \n**Click to graph the terminal point of the vector obtained by subtracting $\\vec{b}$ from $\\vec{a}$, whose initial point is the origin.** \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5b7590c35e41b5397393f02e3f5c92e187bf528b","width":400},"correct":{"coords":[[-1,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/63/f87297bd6b8f.json b/data/questions/59/63/f87297bd6b8f.json new file mode 100644 index 0000000000..e1fe96e072 --- /dev/null +++ b/data/questions/59/63/f87297bd6b8f.json @@ -0,0 +1 @@ +{"content":"Dexter plans and records his spending. In the coordinate plane below, the $x$-axis represents the number of days before or after today. For example, $-1$ would represent yesterday. The $y$-axis represents the amount of money Dexter planned to spend in dollars. The points $(-5, 8)$ and $(2, 8)$ represent Dexter's planned spending on two separate days.\n\n**Plot the two points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many days separate the two days Dexter planned to spend $\\$8$ ?** \n\n[[☃ input-number 1]] days\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-5,8],[2,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x (\\text{days})","y (\\text{dollars})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/75/f6e2c7cbf24c.json b/data/questions/59/75/f6e2c7cbf24c.json new file mode 100644 index 0000000000..7458d5bbd1 --- /dev/null +++ b/data/questions/59/75/f6e2c7cbf24c.json @@ -0,0 +1 @@ +{"content":"King Kyle orders the construction of his future mausoleum (a fancy tomb) so that people never forget his awesomeness. His architect draws a floor plan depicting the mausoleum as a rectangle measuring $35\\text{ m}$ by $40\\text{ m}$.\n\n**Move points to redraw the architect's floor plan on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/7f/8711addb9a12.json b/data/questions/59/7f/8711addb9a12.json new file mode 100644 index 0000000000..6aba016f63 --- /dev/null +++ b/data/questions/59/7f/8711addb9a12.json @@ -0,0 +1 @@ +{"content":"Michael starts a new paper company. The function $f$ models the company's net worth (in thousands of dollars) as a function of time (in months) after Michael starts it.\n\nA company is in debt if its net worth is negative.\n\n**Plot the point on the graph of $f$ that corresponds to the first time after $6$ months at which the company is no longer in debt.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/194b5225399b37fa6532f3797150909e7dd4240f","width":400},"correct":{"coords":[[14,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-2,18],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/83/3fd47c0bbf5a.json b/data/questions/59/83/3fd47c0bbf5a.json new file mode 100644 index 0000000000..3e0799542e --- /dev/null +++ b/data/questions/59/83/3fd47c0bbf5a.json @@ -0,0 +1 @@ +{"content":"Paulette squints at a map of her city's streets. \n\n(show map with a scale with \"Perseus Park\" labeled)\n\n\"This map is too small for me to read.\" she sighs. \"I need a bigger map.\"\n\n**You must help Paulette! Move the points to redraw Perseus Park on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/90/bba16ca4986a.json b/data/questions/59/90/bba16ca4986a.json new file mode 100644 index 0000000000..91fb64e570 --- /dev/null +++ b/data/questions/59/90/bba16ca4986a.json @@ -0,0 +1 @@ +{"content":"We want to find the intersection points of the graphs given by the following system of equations:\n\n$\\begin{cases}\nx+y=-3\n\\\\\\\\\nx^2+y^2=9\n\\end{cases}$\n\nThe line given by $x+y=-3$ is graphed.\n\n**1) Draw the circle given by $x^2+y^2=9$ in the interactive graph.**\n\n[[☃ interactive-graph 1]]\n\n**2) Select all intersection points.**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdd8c09b75ce567647a237a18c1ffbf56b9c4780","width":400},"correct":{"center":[0,0],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(-3,0)$","correct":true},{"content":"$(0,-3)$","correct":true,"isNoneOfTheAbove":false},{"content":"$(-2,-2)$","correct":false,"isNoneOfTheAbove":false},{"content":"$(-3,-3)$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/59/9a/e8d10a9782a5.json b/data/questions/59/9a/e8d10a9782a5.json new file mode 100644 index 0000000000..5024905322 --- /dev/null +++ b/data/questions/59/9a/e8d10a9782a5.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}-1 & 0 \\\\ 4 & 2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}0 \\\\ 1\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/09fe346f76eaf928418d7d3b5e799a2131ebcb64","width":425},"correct":{"coords":[[[0,0],[0,2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/aa/763ca3cf6761.json b/data/questions/59/aa/763ca3cf6761.json new file mode 100644 index 0000000000..b4efb96922 --- /dev/null +++ b/data/questions/59/aa/763ca3cf6761.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=2\\cos\\left(\\dfrac{\\pi}{5}x-\\dfrac{2\\pi}{5}\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[4.5,-4],[2,-2]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/ac/7894cd81f245.json b/data/questions/59/ac/7894cd81f245.json new file mode 100644 index 0000000000..1c67b3ef4c --- /dev/null +++ b/data/questions/59/ac/7894cd81f245.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/437f335cea5f258836c2ea16748446a968479e2b","width":400},"correct":{"coords":[[5,-5],[4,-2],[2,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/c2/874792df906a.json b/data/questions/59/c2/874792df906a.json new file mode 100644 index 0000000000..a0ad6c867f --- /dev/null +++ b/data/questions/59/c2/874792df906a.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3f324f213832bfad3bdd71766e6d8923a30e97c","width":430},"correct":{"coords":[[0,-1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/c2/d8968c2083cd.json b/data/questions/59/c2/d8968c2083cd.json new file mode 100644 index 0000000000..10ee2a618f --- /dev/null +++ b/data/questions/59/c2/d8968c2083cd.json @@ -0,0 +1 @@ +{"content":"Biologists discovered an invasive species of fish in a lake. The function $f$ models the population size (in thousands of fish) for this species as a function of time (in months) after being discovered.\n\n**Plot the point on the graph of $f$ that corresponds to the time when the population reached its maximum size.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/815df6e51faf06f89373ac586b5309742a82497a","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,14],[-2,12]],"gridStep":[1,1],"snapStep":[1,0.5],"graph":{"type":"point"},"correct":{"type":"point","coords":[[4,9]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/d1/d49872899ddc.json b/data/questions/59/d1/d49872899ddc.json new file mode 100644 index 0000000000..6442d94cfb --- /dev/null +++ b/data/questions/59/d1/d49872899ddc.json @@ -0,0 +1 @@ +{"content":"**Which graph shows an exponential function with range $h(x) \\geq 2$?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265,"height":265},"labels":[],"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the left edge and ends on the right side in a filled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/39dcb58dfac8dea36f96eab768b752b5f31503d3)"},{"correct":false,"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the left edge and ends on the right side in an open, unfilled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/52ae814f25c0de34608eac5ba79df7f49cb62511)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the right edge and ends on the left side in an open, unfilled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/638bfebdce3dc8f82d73796f00db4addc2abe49c)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the right edge and ends on the left side in a filled circle at (2, 0).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/5c5c85575167aca8e27245a1de07538b7b7e6128)"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/59/da/45adbf4cad1e.json b/data/questions/59/da/45adbf4cad1e.json new file mode 100644 index 0000000000..21453d88bc --- /dev/null +++ b/data/questions/59/da/45adbf4cad1e.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $A$ and scale factor is $\\dfrac{1}{4}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f43b94ab75a07413fd0f2130b6b006ab2eaa7ee","width":400},"correct":{"coords":[[-4,0],[-3,3],[-6,2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/da/58e32707a7fd.json b/data/questions/59/da/58e32707a7fd.json new file mode 100644 index 0000000000..bb2a848707 --- /dev/null +++ b/data/questions/59/da/58e32707a7fd.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-\\dfrac25$ that contains the point $(-3,5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[2,3],[-3,5]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/e0/60c981c1acbf.json b/data/questions/59/e0/60c981c1acbf.json new file mode 100644 index 0000000000..7f60bf8c7d --- /dev/null +++ b/data/questions/59/e0/60c981c1acbf.json @@ -0,0 +1 @@ +{"content":"crwdns3474917:0crwdne3474917:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/59/e0/873817df49d1.json b/data/questions/59/e0/873817df49d1.json new file mode 100644 index 0000000000..c2e7e3c684 --- /dev/null +++ b/data/questions/59/e0/873817df49d1.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $3$ units to the left and $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1a4f1df8580a3b9d23b5d9f2674250fc3efb2f20","width":425},"correct":{"coords":[[-5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/07/9bacdbdbe32c.json b/data/questions/5a/07/9bacdbdbe32c.json new file mode 100644 index 0000000000..8c8c82b518 --- /dev/null +++ b/data/questions/5a/07/9bacdbdbe32c.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{4}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ece847244ed5af68ee68772b45c2e501d3410bea","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[6,-2],[6,0],[3,-2]],"showAngles":false,"snapTo":"grid","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/11/560583d7ffa9.json b/data/questions/5a/11/560583d7ffa9.json new file mode 100644 index 0000000000..74efd93c83 --- /dev/null +++ b/data/questions/5a/11/560583d7ffa9.json @@ -0,0 +1 @@ +{"content":"crwdns3458208:0crwdne3458208:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/13/2b9541632dd9.json b/data/questions/5a/13/2b9541632dd9.json new file mode 100644 index 0000000000..be056d4c63 --- /dev/null +++ b/data/questions/5a/13/2b9541632dd9.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dc5b389c1ab3dfb10cde02bd5de49610c0eff488","width":430},"correct":{"coords":[[7,7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/18/25916ebe9dba.json b/data/questions/5a/18/25916ebe9dba.json new file mode 100644 index 0000000000..67e531f28f --- /dev/null +++ b/data/questions/5a/18/25916ebe9dba.json @@ -0,0 +1 @@ +{"content":"Jane earns money walking dogs on the weekends. Jane charges $\\$5$ for each dog she walks.\n\n**Complete the table for the given ratio.** \n \nDogs, $x$ | Charge in dollars, $y$ \n:-: | :-: \n$1$ | $5$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,25],[3,15],[1,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-2,35]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":25}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/1a/3ec8ac43f38c.json b/data/questions/5a/1a/3ec8ac43f38c.json new file mode 100644 index 0000000000..5beaa514b8 --- /dev/null +++ b/data/questions/5a/1a/3ec8ac43f38c.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(-1, 7\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[-1,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/1a/66a48167c8f2.json b/data/questions/5a/1a/66a48167c8f2.json new file mode 100644 index 0000000000..62e9b1f24e --- /dev/null +++ b/data/questions/5a/1a/66a48167c8f2.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/1c/e031893c036f.json b/data/questions/5a/1c/e031893c036f.json new file mode 100644 index 0000000000..d99a537fe7 --- /dev/null +++ b/data/questions/5a/1c/e031893c036f.json @@ -0,0 +1 @@ +{"content":"crwdns3077822:0$ycrwdne3077822:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns2684677:0crwdne2684677:0","correct":true},{"content":"crwdns2922249:0$y$crwdnd2922249:0$x$crwdnd2922249:0$1.4$crwdne2922249:0","correct":true},{"content":"crwdns2922242:0{5}crwdnd2922242:0{7}crwdne2922242:0","correct":false},{"content":"crwdns2922198:0$2$crwdnd2922198:0$x$crwdnd2922198:0$2.8$crwdnd2922198:0$y$crwdne2922198:0","correct":true},{"content":"crwdns2922193:0$3$crwdnd2922193:0$x$crwdnd2922193:0$1.2$crwdnd2922193:0$y$crwdne2922193:0","correct":false}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/2b/e46c675a7b84.json b/data/questions/5a/2b/e46c675a7b84.json new file mode 100644 index 0000000000..d8dc3118d0 --- /dev/null +++ b/data/questions/5a/2b/e46c675a7b84.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\log_3(1-x)+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[1,-10],[1,10]],"coords":[[0,6],[-8,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/34/82f505841445.json b/data/questions/5a/34/82f505841445.json new file mode 100644 index 0000000000..01e4272aa7 --- /dev/null +++ b/data/questions/5a/34/82f505841445.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7daad6e18d785918d6de5a2c5ac69902cddc0404","width":430},"correct":{"coords":[[7,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/43/cc52fe93fcd5.json b/data/questions/5a/43/cc52fe93fcd5.json new file mode 100644 index 0000000000..d54913b835 --- /dev/null +++ b/data/questions/5a/43/cc52fe93fcd5.json @@ -0,0 +1 @@ +{"content":"crwdns4116739:0{PIN}crwdne4116739:0","images":{},"widgets":{"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6fe33fbdce2ff4a1e6ce82f6f5523339f7f518e5","width":425},"correct":{"coords":[[7,2],[7,7],[-3,2]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/48/cdabb6a4cc9e.json b/data/questions/5a/48/cdabb6a4cc9e.json new file mode 100644 index 0000000000..7d3bac0cec --- /dev/null +++ b/data/questions/5a/48/cdabb6a4cc9e.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8bea3257ad6210c06ebed31a0aae94c2a2086744","width":425},"correct":{"coords":[[-3,-4],[-3,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/5c/f32397d41eb1.json b/data/questions/5a/5c/f32397d41eb1.json new file mode 100644 index 0000000000..12949bd551 --- /dev/null +++ b/data/questions/5a/5c/f32397d41eb1.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-3$ that contains the point $(4, -2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[5,-5],[4,-2]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/6f/d033e7de5a60.json b/data/questions/5a/6f/d033e7de5a60.json new file mode 100644 index 0000000000..014513b9e1 --- /dev/null +++ b/data/questions/5a/6f/d033e7de5a60.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism with a triangular base. The base of the prism has the shape of an equilateral triangle with side length $2$. The height of the prism is $3$.\n\n![prism with a triangular base](https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png)\n \n**Drag the corners of the triangle below to draw the shape of a horizontal slice through the prism.**\n\nThe starter triangle is only approximate. Draw the exact side lengths.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png":{"height":280,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2.6199919742971387,0.853372332149325],[1.4999999999999998,2.510362971081844],[0.6250000000000016,0.7119261498395746]],"match":"similar","numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-1,4],[-1,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/70/48a0a9602c69.json b/data/questions/5a/70/48a0a9602c69.json new file mode 100644 index 0000000000..45084f07bc --- /dev/null +++ b/data/questions/5a/70/48a0a9602c69.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(2,0)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/75/c242d27a5f6e.json b/data/questions/5a/75/c242d27a5f6e.json new file mode 100644 index 0000000000..4103ee5c77 --- /dev/null +++ b/data/questions/5a/75/c242d27a5f6e.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with a side of length $4$ in between two $70^\\circ$ angles.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.5,0],[2.5,5.5],[0.5,0]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/88/9016e4644ca2.json b/data/questions/5a/88/9016e4644ca2.json new file mode 100644 index 0000000000..76412d6ef1 --- /dev/null +++ b/data/questions/5a/88/9016e4644ca2.json @@ -0,0 +1 @@ +{"content":"The table below shows data from a study on the relationship between the amount of time a person spends on the computer and the amount of sleep they get per night. Suppose researchers used the line $y = -2x +11.5$ to model sleep as a function of computer time.\n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n****Would an exponential or quadratic model be a better fit for the data?**** [[☃ dropdown 1]] \n\n | | | || ||\n- | - | -\n**Computer hours per day** |$0$ | $1$| $2$ | $3$ | $4$|$5$ \n**Sleep per night** |$11$|$10.5$ | $6.5$| $5.5$ | $3$ | $2$\n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-0.5},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-1},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-0.5},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-0.5],[1,1],[2,-1],[3,0],[4,-0.5],[5,0.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/5a/8c/68445605fee8.json b/data/questions/5a/8c/68445605fee8.json new file mode 100644 index 0000000000..7404e96be8 --- /dev/null +++ b/data/questions/5a/8c/68445605fee8.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 2-9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[2,-9]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/90/4da739d6d67a.json b/data/questions/5a/90/4da739d6d67a.json new file mode 100644 index 0000000000..c28c711c96 --- /dev/null +++ b/data/questions/5a/90/4da739d6d67a.json @@ -0,0 +1 @@ +{"content":"crwdns3897370:0crwdne3897370:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-4],[3,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/95/a1ed53360067.json b/data/questions/5a/95/a1ed53360067.json new file mode 100644 index 0000000000..18d3b54b47 --- /dev/null +++ b/data/questions/5a/95/a1ed53360067.json @@ -0,0 +1 @@ +{"content":"**Graph the circle represented by the following equation**. \n\n$x^2+y^2+10x+8y+32=0$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-5,-4],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/9a/58256174ef01.json b/data/questions/5a/9a/58256174ef01.json new file mode 100644 index 0000000000..606d2673b9 --- /dev/null +++ b/data/questions/5a/9a/58256174ef01.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin(2x-3\\pi)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[3,-2],[3.5,3]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/a6/67611e209d7c.json b/data/questions/5a/a6/67611e209d7c.json new file mode 100644 index 0000000000..ad94789270 --- /dev/null +++ b/data/questions/5a/a6/67611e209d7c.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=-7(x-8)^2+7$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[8,7],[9,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":8},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":7}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/bd/9ac8d18840cf.json b/data/questions/5a/bd/9ac8d18840cf.json new file mode 100644 index 0000000000..4fe597bc31 --- /dev/null +++ b/data/questions/5a/bd/9ac8d18840cf.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{7}{2}x$ \n \n \n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/059b8da98ba9ac1badc2f05d991eaf655ccf0101.png":{"height":435,"width":429}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"7"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"14"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,7],[4,14]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,15],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/be/a8ffbfdc9566.json b/data/questions/5a/be/a8ffbfdc9566.json new file mode 100644 index 0000000000..69af762a85 --- /dev/null +++ b/data/questions/5a/be/a8ffbfdc9566.json @@ -0,0 +1 @@ +{"content":"**दो काले बिंदुओं को जोड़कर, त्रिभुज से होकर जाने वाली एक सममिति अक्ष बनाएँ।**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/46be7128c3d241e2f393a4d9c8e50744d0fbbf31.png","width":400},"correct":{"coords":[[-1,-1],[5,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5a/cc/a5deda5498d9.json b/data/questions/5a/cc/a5deda5498d9.json new file mode 100644 index 0000000000..0aedadca00 --- /dev/null +++ b/data/questions/5a/cc/a5deda5498d9.json @@ -0,0 +1 @@ +{"content":"At Fairfax swimming pool, the lifeguards have been keeping track of the daily temperature, in Fahrenheit, as well as the number of people that attend the pool each day. They have come up with the model $y =0.8x+18$ to represent the number of people as a function of the number of degrees above $60^o$. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Degrees above $60^o$** |$0$ | $10$| $20$ | $30$ | $40$|$50$\n**Residual value** | $5$ | $6$| $3$ | $5$| $4$|$7$| \n**Number of people** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":23},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":32},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":37},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":47},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":54},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":65},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,23],[10,32],[20,37],[40,54],[30,47],[50,65]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,2],"labels":["x","y"],"markings":"graph","range":[[-5,55],[20,68]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,1],"step":[5,10]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":false},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":true},{"content":"Decrease the y-intercept of the line.","correct":false},{"content":"None of the above - the model is a good fit for the data."}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/5a/fa/eaae63103dea.json b/data/questions/5a/fa/eaae63103dea.json new file mode 100644 index 0000000000..06c5cedfbe --- /dev/null +++ b/data/questions/5a/fa/eaae63103dea.json @@ -0,0 +1 @@ +{"content":"Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with side length $90\\text{ m}$.\n\n**Draw the city block such that $1$ unit on the grid below represents $30\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[2,6],[2,9],[-1,9],[-1,6]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["ẍẋ","ý"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/03/77f5eef6f005.json b/data/questions/5b/03/77f5eef6f005.json new file mode 100644 index 0000000000..7b149af2d9 --- /dev/null +++ b/data/questions/5b/03/77f5eef6f005.json @@ -0,0 +1 @@ +{"content":"The answer is either $5$ or $6$.\n\n**What could it be???**\n\n[[☃ numeric-input 1]]\n\nGraph $y=x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear","absolute_value","exponential","sinusoid","quadratic","tangent"],"correct":{"coords":[[0,0],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"□□□ □□□ □ □□□.","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"□□. □□□ □□□ □ □□□□□□ □□□□□.","simplify":"required","status":"wrong","strict":false,"value":6},{"maxError":null,"message":"□□□□ □□ □□□□□ □□□□ □□□","simplify":"required","status":"wrong","strict":false,"value":5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/25/c9f698661eb6.json b/data/questions/5b/25/c9f698661eb6.json new file mode 100644 index 0000000000..131ae14e97 --- /dev/null +++ b/data/questions/5b/25/c9f698661eb6.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=5\\cos\\left(\\dfrac{\\pi}{2}x-\\dfrac{3\\pi}{2}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4,-2],[3,3]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/2e/1b160c643cbd.json b/data/questions/5b/2e/1b160c643cbd.json new file mode 100644 index 0000000000..87fb683e7f --- /dev/null +++ b/data/questions/5b/2e/1b160c643cbd.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{1}{3}(x +2)(x +8)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,3],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/47/52006273d594.json b/data/questions/5b/47/52006273d594.json new file mode 100644 index 0000000000..dc4afb533a --- /dev/null +++ b/data/questions/5b/47/52006273d594.json @@ -0,0 +1 @@ +{"content":"**Construct a $10^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/489d2f6dcbd3c6752a8a0460a1d0f51657ec11e2.png":{"height":197,"width":371},"https://ka-perseus-images.s3.amazonaws.com/a0978055414ef8a13fc5b22a76e83614cf19381f.png":{"height":78,"width":216}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.559354702894409,4.6648524807823755]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/49/ea66e036066f.json b/data/questions/5b/49/ea66e036066f.json new file mode 100644 index 0000000000..84c55673a0 --- /dev/null +++ b/data/questions/5b/49/ea66e036066f.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{2}$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b1ec3841d8d7aba903cf7c9ba9b0d4fabfc8633","width":400},"correct":{"coords":[[0,0],[-2,2],[-6,1]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/4b/3f6d54c82763.json b/data/questions/5b/4b/3f6d54c82763.json new file mode 100644 index 0000000000..4af5309def --- /dev/null +++ b/data/questions/5b/4b/3f6d54c82763.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an obtuse angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]\n\nThis is an obtuse angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":false},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":true},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/807ea77cf7031c1b9a45694083f05b5e09b01946.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[0.4505926282126178,-7.7732344408449485],[-2,-2],[3.7959835753335547,3.795983575333554]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/72/1e182078a088.json b/data/questions/5b/72/1e182078a088.json new file mode 100644 index 0000000000..575a7fa1ff --- /dev/null +++ b/data/questions/5b/72/1e182078a088.json @@ -0,0 +1 @@ +{"content":"**Construct a $75^\\circ$ angle.** \n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/7b/2f3c93aa5e89.json b/data/questions/5b/7b/2f3c93aa5e89.json new file mode 100644 index 0000000000..2011e167b9 --- /dev/null +++ b/data/questions/5b/7b/2f3c93aa5e89.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle ABC$ after the rotation $R_{90^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5abab5dcef96044dfdfd039247e3ad6aa6623cc4.png","width":425},"correct":{"coords":[[-3,7],[-3,2],[-7,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/5b/98/8eeb3bb821ac.json b/data/questions/5b/98/8eeb3bb821ac.json new file mode 100644 index 0000000000..a8f1fe8bd7 --- /dev/null +++ b/data/questions/5b/98/8eeb3bb821ac.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{3}{8}(x -1)(x -9)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-6],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/a1/2b2ce214c176.json b/data/questions/5b/a1/2b2ce214c176.json new file mode 100644 index 0000000000..2bf495cc45 --- /dev/null +++ b/data/questions/5b/a1/2b2ce214c176.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(5, 5), (-3, 4), (-4.5, -4), (1, -5), (9, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,5],[-3,4],[-4.5,-4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/5b/a6/dc38966ff3a5.json b/data/questions/5b/a6/dc38966ff3a5.json new file mode 100644 index 0000000000..e6912a508f --- /dev/null +++ b/data/questions/5b/a6/dc38966ff3a5.json @@ -0,0 +1 @@ +{"content":"crwdns4115796:0$ABCD$crwdnd4115796:0$2$crwdnd4115796:0$6$crwdne4115796:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aff3679ed3f844f921fd59ac9b26ea5eeda848b2","width":425},"correct":{"coords":[[-2,-6],[3,-4],[-2,-3],[-1,-5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/b0/2d56bcd0a330.json b/data/questions/5b/b0/2d56bcd0a330.json new file mode 100644 index 0000000000..86eb97ca09 --- /dev/null +++ b/data/questions/5b/b0/2d56bcd0a330.json @@ -0,0 +1 @@ +{"content":"crwdns2975587:0crwdne2975587:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5,5.5],[6.5,0],[0,-4.5],[-5,-3.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/5b/b1/2ae5984cb38f.json b/data/questions/5b/b1/2ae5984cb38f.json new file mode 100644 index 0000000000..cce19aa59e --- /dev/null +++ b/data/questions/5b/b1/2ae5984cb38f.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\sin\\left(\\dfrac{1}{7}x\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/be/199582113795.json b/data/questions/5b/be/199582113795.json new file mode 100644 index 0000000000..f6b886fb71 --- /dev/null +++ b/data/questions/5b/be/199582113795.json @@ -0,0 +1 @@ +{"content":"The figure below shows a pyramid whose base is a $6\\times 6$ square and whose height is $6$. \n\n![square pyramid, horizontal slice](https://ka-perseus-graphie.s3.amazonaws.com/4e6db0b061f7d0aaab47e90516b4d1a2b8bb2023.png)\n\n**Draw the shape of a horizontal slice through the pyramid.**\n\nClick below to add vertices and draw all the sides of the shape. Drag the vertices if you need to change the lengths of the sides.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/4e6db0b061f7d0aaab47e90516b4d1a2b8bb2023.png":{"width":399,"height":359}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,5],[-1,5]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"polygon","numSides":"unlimited","showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":"unlimited","coords":[[0.5,3.5],[3.5,3.5],[3.5,0.5],[0.5,0.5]],"match":"similar","showSides":true,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/c3/0237fd6130e1.json b/data/questions/5b/c3/0237fd6130e1.json new file mode 100644 index 0000000000..5e81c91726 --- /dev/null +++ b/data/questions/5b/c3/0237fd6130e1.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a reflection across line $n$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/88700d6be4b7337708d1d6eedafed7b24a8b2ab3","width":400},"correct":{"coords":[[5,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/e9/20b5a745c2a3.json b/data/questions/5b/e9/20b5a745c2a3.json new file mode 100644 index 0000000000..ec72df329d --- /dev/null +++ b/data/questions/5b/e9/20b5a745c2a3.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-4\\log_2(x-5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[5,-10],[5,10]],"coords":[[7,-4],[6,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5b/eb/4c442393eaff.json b/data/questions/5b/eb/4c442393eaff.json new file mode 100644 index 0000000000..d3ce5ec857 --- /dev/null +++ b/data/questions/5b/eb/4c442393eaff.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=0.5\\sin\\left(\\dfrac{\\pi}{3}x+\\dfrac{4\\pi}{3}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[-4,-2],[-2.5,-1.5]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/02/8791bde76b6a.json b/data/questions/5c/02/8791bde76b6a.json new file mode 100644 index 0000000000..578d1b96a8 --- /dev/null +++ b/data/questions/5c/02/8791bde76b6a.json @@ -0,0 +1 @@ +{"content":"crwdns6347451:0$ycrwdne6347451:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-5,-2],[4,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/06/4a9fca06ca34.json b/data/questions/5c/06/4a9fca06ca34.json new file mode 100644 index 0000000000..94c788e978 --- /dev/null +++ b/data/questions/5c/06/4a9fca06ca34.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\sin\\left(\\dfrac{\\pi}{8}x\\right)+7$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/15/0c83ce111bab.json b/data/questions/5c/15/0c83ce111bab.json new file mode 100644 index 0000000000..417237ac24 --- /dev/null +++ b/data/questions/5c/15/0c83ce111bab.json @@ -0,0 +1 @@ +{"content":"crwdns3276060:0$5$crwdnd3276060:0$w$crwdnd3276060:0$d$crwdnd3276060:0$dcrwdnd3276060:0$6$crwdnd3276060:0$10$crwdnd3276060:0$w$crwdnd3276060:0$d$crwdnd3276060:0:-:crwdnd3276060:0$0$crwdnd3276060:0$5$crwdnd3276060:0$1$crwdnd3276060:0$6$crwdnd3276060:0$2$crwdnd3276060:0$7$crwdnd3276060:0$3$crwdnd3276060:0$8$crwdne3276060:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":0,"left":"","scale":"1","url":"","width":0},"correct":{"coords":[[6,11],[10,15]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns3882321:0crwdne3882321:0","crwdns3882319:0crwdne3882319:0"],"markings":"graph","range":[[-1,18],[-1,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/1d/0b548c905263.json b/data/questions/5c/1d/0b548c905263.json new file mode 100644 index 0000000000..7957d0c515 --- /dev/null +++ b/data/questions/5c/1d/0b548c905263.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=x^2+4x+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-2,-3],[0,1]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/23/d11353767e20.json b/data/questions/5c/23/d11353767e20.json new file mode 100644 index 0000000000..59015fbf69 --- /dev/null +++ b/data/questions/5c/23/d11353767e20.json @@ -0,0 +1 @@ +{"content":"crwdns3271776:0crwdne3271776:0","images":{"https://ka-perseus-images.s3.amazonaws.com/3d67198407f98ed85dd5b647ec1a7fa25caa1644.jpg":{"height":122,"width":200}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3271790:0crwdne3271790:0","correct":false},{"content":"crwdns3271800:0crwdne3271800:0","correct":false},{"content":"crwdns3271810:0crwdne3271810:0","correct":true},{"content":"crwdns3271815:0crwdne3271815:0","correct":false},{"content":"crwdns3271819:0crwdne3271819:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/2a/19f0308a162f.json b/data/questions/5c/2a/19f0308a162f.json new file mode 100644 index 0000000000..451596debb --- /dev/null +++ b/data/questions/5c/2a/19f0308a162f.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{7}\\,x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"ŤŢĥȟéè éèʠúùáàťțíìóòńň ŕřéèṕṗŕřéèśŝéèńňťțśŝ áà ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $\\dfrac{7}{2}$ .\n","correct":false},{"content":"The slope of the line is $\\dfrac{2}{7}$ .","correct":true},{"content":" A change of $7$ units in $x$ results in a change of $2$ units in $y$.","correct":true},{"content":" A change of $6$ units in $x$ results in a change of $21$ units in $y$.","correct":false}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/35/3284fbd55469.json b/data/questions/5c/35/3284fbd55469.json new file mode 100644 index 0000000000..ff2d249c6e --- /dev/null +++ b/data/questions/5c/35/3284fbd55469.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $30^\\circ$, $50^\\circ$, and $100^\\circ$ angles.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-1.22597897987407,-4.1071087758286495],[2.9204199736582312,8.285714285714286],[-4.692746654995757,1.5499745260770013]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/42/ef81be21760f.json b/data/questions/5c/42/ef81be21760f.json new file mode 100644 index 0000000000..782022a589 --- /dev/null +++ b/data/questions/5c/42/ef81be21760f.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $1$ unit to the left and $5$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2fe5a657a2101205e42ca5282b127604ee33168a","width":425},"correct":{"coords":[[6,5],[1,7],[-1,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/50/e92cb4ac5b76.json b/data/questions/5c/50/e92cb4ac5b76.json new file mode 100644 index 0000000000..80c183a34a --- /dev/null +++ b/data/questions/5c/50/e92cb4ac5b76.json @@ -0,0 +1 @@ +{"content":"crwdns6544061:0crwdne6544061:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d5a8c57c9001d39f900e87d36034059e8879e","width":400},"correct":{"coords":[[4,-8],[8,-4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/56/cf721c27aaa1.json b/data/questions/5c/56/cf721c27aaa1.json new file mode 100644 index 0000000000..239476dde3 --- /dev/null +++ b/data/questions/5c/56/cf721c27aaa1.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{3}{2}x+2$ \n \n\n\n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\nDrag the points on the graph to the specified coordinates.\n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/e80a5c39c2feea03393b4fe2d052fd4776d1f50e.png":{"height":431,"width":426}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,5],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/59/3a0b1c30fdf8.json b/data/questions/5c/59/3a0b1c30fdf8.json new file mode 100644 index 0000000000..96900e19bd --- /dev/null +++ b/data/questions/5c/59/3a0b1c30fdf8.json @@ -0,0 +1 @@ +{"content":"The number of songs that can fit on a hard drive depends on its storage space. \n\n\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nSongs | $100$ | $200$| $400$ \nStorage space $(\\text{GB})$ | $0.5$ | $1$ | $2$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the number of songs that can fit on a hard drive proportional to its storage space?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0.5,100],[1,200],[2,400]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,50],"labels":["$\\text{Storage}$","$\\text{Songs}$"],"markings":"graph","range":[[-0.5,4.5],[-40,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,25],"step":[0.5,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/5c/5b/c1532bfd5aaa.json b/data/questions/5c/5b/c1532bfd5aaa.json new file mode 100644 index 0000000000..1595c2673b --- /dev/null +++ b/data/questions/5c/5b/c1532bfd5aaa.json @@ -0,0 +1 @@ +{"content":"**Which of the $x$ values are solutions to the following inequality?**\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/7cd0c171a862e408b6919bf8b33a81b129fc4ceb)\n\n$\\qquad \\left\\lvert x - a \\right\\rvert > a$\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7cd0c171a862e408b6919bf8b33a81b129fc4ceb":{"height":69,"width":460}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$x = b$","correct":true},{"content":"$x = c$","correct":false},{"content":"□□□□ □□ □□□ □□□□□","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/61/944f798c3b96.json b/data/questions/5c/61/944f798c3b96.json new file mode 100644 index 0000000000..28cfeaccfd --- /dev/null +++ b/data/questions/5c/61/944f798c3b96.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x-1)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":true,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,-3],"color":"grayH","filled":true},{"type":"point","coord":[3,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":false,"showPoint2":false},{"type":"point","coord":[3,3],"color":"grayH","filled":true},{"type":"point","coord":[-3,-3],"color":"grayH","filled":true}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-2,-3],[4,3]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/70/47521ddda3ce.json b/data/questions/5c/70/47521ddda3ce.json new file mode 100644 index 0000000000..56bdced205 --- /dev/null +++ b/data/questions/5c/70/47521ddda3ce.json @@ -0,0 +1 @@ +{"content":"crwdns3508050:0crwdne3508050:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,5],[0,8.5],[-4,-9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/7a/8f6fada17fb2.json b/data/questions/5c/7a/8f6fada17fb2.json new file mode 100644 index 0000000000..7851ed8a3b --- /dev/null +++ b/data/questions/5c/7a/8f6fada17fb2.json @@ -0,0 +1 @@ +{"content":"You are given the following starting numbers and rules for two sequences of numbers:\n\nSequence $x$: Starting number: $8$, Rule: add $2$\n\nSequence $y$: Starting number: $4$, Rule: add $1$\n\n**Fill in the table with the first $3$ terms of $x$ and $y$. Then plot the ordered pairs $(x,y)$ on the graph below by dragging the dots to the correct locations.** \n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nThe terms in sequence $y$ are [[☃ input-number 1]] times the terms in sequence $x$.","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":"0.5"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["8","4"],["10","5"],["12","6"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/7a/ecfba086d7b0.json b/data/questions/5c/7a/ecfba086d7b0.json new file mode 100644 index 0000000000..c610b9de18 --- /dev/null +++ b/data/questions/5c/7a/ecfba086d7b0.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $18$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/7d/5ec2606a8f93.json b/data/questions/5c/7d/5ec2606a8f93.json new file mode 100644 index 0000000000..0f1e5460cc --- /dev/null +++ b/data/questions/5c/7d/5ec2606a8f93.json @@ -0,0 +1 @@ +{"content":"crwdns4128066:0$C$crwdnd4128066:0{1}crwdnd4128066:0{2}crwdne4128066:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/11e37fd8ec6fcaea9db4e2bb2fd0b6d751fffe51","width":425},"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/85/596e261238cc.json b/data/questions/5c/85/596e261238cc.json new file mode 100644 index 0000000000..af6536d3e8 --- /dev/null +++ b/data/questions/5c/85/596e261238cc.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/35af55fd8ca1fd970e15b47edce06cad89333c3f","width":425},"correct":{"coords":[[1,1],[1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/91/f7159ddc352f.json b/data/questions/5c/91/f7159ddc352f.json new file mode 100644 index 0000000000..04db3e6ac7 --- /dev/null +++ b/data/questions/5c/91/f7159ddc352f.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $0.2$ units in $t$ corresponds to an increase of $1.8$ units in $d$.\n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d?$) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the line.\n**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":"9"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[1,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/a4/b0b369071ceb.json b/data/questions/5c/a4/b0b369071ceb.json new file mode 100644 index 0000000000..0d75cbaa6e --- /dev/null +++ b/data/questions/5c/a4/b0b369071ceb.json @@ -0,0 +1 @@ +{"content":"Tina is employed by Amateur Painters for the summer. She has a strict $\\$1000$ budget to cover the cost of paint and stain. A liter of paint costs $\\$10$, and a liter of stain costs $\\$20$.\n\n**Write an *inequality* that represents the number of liters of paint $(P)$ and liters of stain $(S)$ Tina can use without exceeding her expense budget.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $P$ on the horizontal axis and $S$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Tina uses $40$ liters of paint $(P)$, which of the following numbers of liters of stain $(S)$ can she use without exceeding the expense budget?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"10P+20S<=1000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"10p+20s\\le1000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[20,10],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["P","S"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,120],[-8,75]],"gridStep":[10,5],"snapStep":[5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,50],[100,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$26$","correct":true},{"content":"$29$","correct":true},{"content":"$32$","correct":false},{"content":"$35$","correct":false},{"content":"$38$","correct":false}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/ac/1c57cdeae6fe.json b/data/questions/5c/ac/1c57cdeae6fe.json new file mode 100644 index 0000000000..45b7e89cdd --- /dev/null +++ b/data/questions/5c/ac/1c57cdeae6fe.json @@ -0,0 +1 @@ +{"content":"crwdns3462806:0$fcrwdne3462806:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-5],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/ca/105b72c2fcc7.json b/data/questions/5c/ca/105b72c2fcc7.json new file mode 100644 index 0000000000..86ac09773b --- /dev/null +++ b/data/questions/5c/ca/105b72c2fcc7.json @@ -0,0 +1 @@ +{"content":"crwdns3381075:0{81}crwdnd3381075:0{144}crwdne3381075:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/659196f705c67529019904f553031c4213b9db25","width":425},"correct":{"coords":[[0,15],[0,-15]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[3,3],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-21,21],[-21,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1.5,1.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/d4/3ffeb3f31a76.json b/data/questions/5c/d4/3ffeb3f31a76.json new file mode 100644 index 0000000000..617cb9c64e --- /dev/null +++ b/data/questions/5c/d4/3ffeb3f31a76.json @@ -0,0 +1 @@ +{"content":"crwdns2988129:0crwdne2988129:0","images":{"https://ka-perseus-images.s3.amazonaws.com/8ba9a1c7fe79fdc1624d2769481c3ff6ad505501.png":{"height":79,"width":403}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/f2/65206f0a602c.json b/data/questions/5c/f2/65206f0a602c.json new file mode 100644 index 0000000000..69024b462b --- /dev/null +++ b/data/questions/5c/f2/65206f0a602c.json @@ -0,0 +1 @@ +{"content":"You are given the following starting numbers and rules for two sequences of numbers:\n\nSequence $x$: Starting number: $8$, Rule: add $2$\n\nSequence $y$: Starting number: $4$, Rule: add $1$\n\n**Fill in the table with the first $3$ terms of $x$ and $y$. Then plot the ordered pairs $(x,y)$ on the graph below by dragging the dots to the correct locations.** \n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nThe terms in sequence $y$ are [[☃ input-number 1]] times the terms in sequence $x$.","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":"0.5"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["8","4"],["10","5"],["12","6"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/f7/0edae7282aac.json b/data/questions/5c/f7/0edae7282aac.json new file mode 100644 index 0000000000..0cd044cfff --- /dev/null +++ b/data/questions/5c/f7/0edae7282aac.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,0)$, and which has the point $(6,-8)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,0],"radius":10,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5c/fd/2e9c3cb22e50.json b/data/questions/5c/fd/2e9c3cb22e50.json new file mode 100644 index 0000000000..14c5d1851c --- /dev/null +++ b/data/questions/5c/fd/2e9c3cb22e50.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x)+2$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":true,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-5,-5],"color":"grayH","filled":true},{"type":"point","coord":[5,5],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":false,"showPoint2":false},{"type":"point","coord":[5,5],"color":"grayH","filled":true},{"type":"point","coord":[-5,-5],"color":"grayH","filled":true}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-5,-3],[5,7]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/09/fc2da0e50945.json b/data/questions/5d/09/fc2da0e50945.json new file mode 100644 index 0000000000..50cb77f098 --- /dev/null +++ b/data/questions/5d/09/fc2da0e50945.json @@ -0,0 +1 @@ +{"content":"Here's a graph of an exponential function $h$.\n\n[[☃ image 1]]\n\n**What's the domain of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d5444b8481ad3cd60dece4366165c0e761744d23","width":265,"height":265},"labels":[],"alt":"A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. There is a \nfilled circle at the point (negative 3, 2). There is a curve from this point upwards and to the right, ending in an arrow at the edge of the graph.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":false,"content":"$x>-3$"},{"correct":false,"content":"$x>2$"},{"isNoneOfTheAbove":false,"correct":true,"content":"$x \\geq -3$"},{"isNoneOfTheAbove":false,"correct":false,"content":"$x \\geq 2$"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/5d/1f/0b03244248e4.json b/data/questions/5d/1f/0b03244248e4.json new file mode 100644 index 0000000000..8378baf4ad --- /dev/null +++ b/data/questions/5d/1f/0b03244248e4.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=-10(x-0.5)^2-3$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[0.5,-3],[0,-5.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/22/e5331c45d04f.json b/data/questions/5d/22/e5331c45d04f.json new file mode 100644 index 0000000000..fa23e02b28 --- /dev/null +++ b/data/questions/5d/22/e5331c45d04f.json @@ -0,0 +1 @@ +{"content":"crwdns3508051:0crwdne3508051:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,-5],[0,6.5],[1,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/3b/144da6a4dcc4.json b/data/questions/5d/3b/144da6a4dcc4.json new file mode 100644 index 0000000000..ee1656611e --- /dev/null +++ b/data/questions/5d/3b/144da6a4dcc4.json @@ -0,0 +1 @@ +{"content":"Consider this matrix transformation:\n\n$\\left[\\begin{array}{c}\n1 & 2\n\\\\\\\\\n-3 & 3\n\\end{array}\\right]$\n\nBelow is an interactive graph with the unit square graphed in it.\n\n**Draw the image of the unit square under this transformation.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e39c1c4aea2324861693fd34915606378a180911","width":425},"correct":{"coords":[[1,-3],[3,0],[2,3],[0,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/3b/25e9cacdbb19.json b/data/questions/5d/3b/25e9cacdbb19.json new file mode 100644 index 0000000000..10abe22dd8 --- /dev/null +++ b/data/questions/5d/3b/25e9cacdbb19.json @@ -0,0 +1 @@ +{"content":"crwdns3169517:0{cm}crwdnd3169517:0$32.5$crwdnd3169517:0$20$crwdnd3169517:0$15$crwdnd3169517:0$35$crwdnd3169517:0$10$crwdnd3169517:0$37.5$crwdnd3169517:0{cm}crwdnd3169517:0$5$crwdnd3169517:0$4$crwdnd3169517:0$2$crwdnd3169517:0$8$crwdnd3169517:0$1.5$crwdnd3169517:0$8.5$crwdne3169517:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[32.5,5],[20,4],[15,2],[35,8],[10,1.5],[37.5,8.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["crwdns3212939:0{Height}crwdne3212939:0","crwdns3295056:0{Petal length}crwdne3295056:0"],"markings":"graph","range":[[-4,42],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,0.5],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/4e/081e0011142b.json b/data/questions/5d/4e/081e0011142b.json new file mode 100644 index 0000000000..221b4cdec9 --- /dev/null +++ b/data/questions/5d/4e/081e0011142b.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ddf981ea31cd07ed4b9607c46fedd7e451e3e513","width":425},"correct":{"coords":[[0,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/57/2ab2d6d35750.json b/data/questions/5d/57/2ab2d6d35750.json new file mode 100644 index 0000000000..b27ab857f9 --- /dev/null +++ b/data/questions/5d/57/2ab2d6d35750.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $PLAN$ is rotated $-270^\\circ$ about the point $(-5,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7214df9f238c4031e89dc998087bca316c695572","width":425},"correct":{"coords":[[1,1],[1,9],[4,9],[5,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/5c/0d1c68f7e066.json b/data/questions/5d/5c/0d1c68f7e066.json new file mode 100644 index 0000000000..1e8beab897 --- /dev/null +++ b/data/questions/5d/5c/0d1c68f7e066.json @@ -0,0 +1 @@ +{"content":"**Graph $2x-6y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,-2],[6,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/6b/07c69cec7aa2.json b/data/questions/5d/6b/07c69cec7aa2.json new file mode 100644 index 0000000000..cd5ab5ca23 --- /dev/null +++ b/data/questions/5d/6b/07c69cec7aa2.json @@ -0,0 +1 @@ +{"content":"crwdns5521039:0$Q$crwdnd5521039:0$3$crwdnd5521039:0$4$crwdne5521039:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1a4f1df8580a3b9d23b5d9f2674250fc3efb2f20","width":425},"correct":{"coords":[[-5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/77/c3586d6b5f4d.json b/data/questions/5d/77/c3586d6b5f4d.json new file mode 100644 index 0000000000..3c7669507a --- /dev/null +++ b/data/questions/5d/77/c3586d6b5f4d.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $7$ units from Point $\\blueD{D}$ and also share the same $x$-coordinate as Point $\\blueD{D}$.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/40ba06b85132f51ca306328309034d3ad9f1365a","width":425},"correct":{"coords":[[-4,-6],[-4,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/90/391469048c04.json b/data/questions/5d/90/391469048c04.json new file mode 100644 index 0000000000..835dc81a45 --- /dev/null +++ b/data/questions/5d/90/391469048c04.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(5, 5), (-3, 4), (-5, 1), (-4.5, -4), (1, -5), (9, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,5],[-3,4],[-5,1],[-4.5,-4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/5d/92/5d227e41c7fa.json b/data/questions/5d/92/5d227e41c7fa.json new file mode 100644 index 0000000000..5c8c36ff7d --- /dev/null +++ b/data/questions/5d/92/5d227e41c7fa.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -2$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/97/23dac0d3eb0f.json b/data/questions/5d/97/23dac0d3eb0f.json new file mode 100644 index 0000000000..4b6ee3d43d --- /dev/null +++ b/data/questions/5d/97/23dac0d3eb0f.json @@ -0,0 +1 @@ +{"content":"crwdns3474920:0crwdne3474920:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/a0/f5ac5cae2a10.json b/data/questions/5d/a0/f5ac5cae2a10.json new file mode 100644 index 0000000000..a147f114dd --- /dev/null +++ b/data/questions/5d/a0/f5ac5cae2a10.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-1\\cdot 2^{1-x}+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,6],[10,6]],"coords":[[0,4],[1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/a4/b356dd53bfaf.json b/data/questions/5d/a4/b356dd53bfaf.json new file mode 100644 index 0000000000..ba96e87df1 --- /dev/null +++ b/data/questions/5d/a4/b356dd53bfaf.json @@ -0,0 +1 @@ +{"content":"crwdns3380953:0crwdne3380953:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/ba/70b44782a028.json b/data/questions/5d/ba/70b44782a028.json new file mode 100644 index 0000000000..ed32aa9885 --- /dev/null +++ b/data/questions/5d/ba/70b44782a028.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $5$ units to the right and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d5d47639867637e32acd79d9ada9b4aee9512a79","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[7,2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/d9/4f13874dccfe.json b/data/questions/5d/d9/4f13874dccfe.json new file mode 100644 index 0000000000..e36f68e21e --- /dev/null +++ b/data/questions/5d/d9/4f13874dccfe.json @@ -0,0 +1 @@ +{"content":"Tom's bakery is on Main street.\n\n(show Tom's bakery on a map where the scale is clear)\n\n**Move the points to redraw Tom's bakery on map below. Make sure you draw it to scale!**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/d9/bccef75374e2.json b/data/questions/5d/d9/bccef75374e2.json new file mode 100644 index 0000000000..2513b85c7f --- /dev/null +++ b/data/questions/5d/d9/bccef75374e2.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a quadrilateral with vertices at the following points.** \n\n$(−4,9), (-8, 9), (−9,7), (−9,4)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-4,9],[-8,9],[-9,7],[-9,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/5d/db/447adbe5f35f.json b/data/questions/5d/db/447adbe5f35f.json new file mode 100644 index 0000000000..d0dc5e0d95 --- /dev/null +++ b/data/questions/5d/db/447adbe5f35f.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=5\\cdot\\left(\\dfrac{4}{5}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,5],[1,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/e2/71462b6db60f.json b/data/questions/5d/e2/71462b6db60f.json new file mode 100644 index 0000000000..15964effe2 --- /dev/null +++ b/data/questions/5d/e2/71462b6db60f.json @@ -0,0 +1 @@ +{"content":"**A \"none\"-type graph. Choose the correct radio button to get a point.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"ellipse","center":[1,0],"radius":[2,3],"angle":0.6981317007977318,"color":"red","fillStyle":"none","strokeStyle":"dashed"},{"type":"polygon","points":[[0,5],[-2,2],[2,2]],"color":"purple","showVertices":false,"fillStyle":"translucent","strokeStyle":"solid"}],"graph":{"type":"none"},"correct":{"type":"none","hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"Not this one"},{"correct":true,"content":"This one is correct"},{"correct":false,"content":"Nope"},{"correct":false,"content":"Definitely not"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/5d/e5/dfdaa7868e7c.json b/data/questions/5d/e5/dfdaa7868e7c.json new file mode 100644 index 0000000000..c65690e3aa --- /dev/null +++ b/data/questions/5d/e5/dfdaa7868e7c.json @@ -0,0 +1 @@ +{"content":"**Graph $-27x+18y=54$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[-2,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5d/e9/055a3cbe9f6e.json b/data/questions/5d/e9/055a3cbe9f6e.json new file mode 100644 index 0000000000..3827163baa --- /dev/null +++ b/data/questions/5d/e9/055a3cbe9f6e.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local disc golf course is shown below. The tee on the first hole is located at the point $(1,2)$. The hole is located at the point $(8,2)$.\n\n**Plot the tee and the hole on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far is the tee from the hole?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,2],[8,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/11/825157efebed.json b/data/questions/5e/11/825157efebed.json new file mode 100644 index 0000000000..5cc38684e4 --- /dev/null +++ b/data/questions/5e/11/825157efebed.json @@ -0,0 +1 @@ +{"content":"A system of two linear equations is graphed below.\n\n**Approximate the solution of the system.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3aa556dd64a142d24a0132050e612323c05125d)","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3aa556dd64a142d24a0132050e612323c05125d":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":"Image must be smaller than 450px x 450px."}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,-4]],[[0,-3],[1,-4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":5.25}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":2.25}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"simulator 1":{"graded":true,"options":{"numTrials":100,"proportionLabel":"Underlying proportion","proportionOrPercentage":"proportion","xAxisLabel":"Proportion (%)","yAxisLabel":"Number of times seen"},"type":"simulator","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/14/02c1fa94b349.json b/data/questions/5e/14/02c1fa94b349.json new file mode 100644 index 0000000000..d988f85399 --- /dev/null +++ b/data/questions/5e/14/02c1fa94b349.json @@ -0,0 +1 @@ +{"content":"[Q1] Graph the equation $y=x+1$.\n\n[[☃ interactive-graph 2]]\n\nHere is what it should look like:\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1,0],[0,1]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}},"interactive-graph 3":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":true,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"line","points":[{"type":"point","coord":[0,1],"color":"grayH","filled":true},{"type":"point","coord":[2,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":false,"showPoint2":false}],"graph":{"type":"none"},"correct":{"type":"none","hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/24/13f9a515b8ea.json b/data/questions/5e/24/13f9a515b8ea.json new file mode 100644 index 0000000000..6933844d90 --- /dev/null +++ b/data/questions/5e/24/13f9a515b8ea.json @@ -0,0 +1 @@ +{"content":"A hovercraft takes off from a platform. The function $f$ models the height of the hovercraft above the ground (in meters) as a function of time (in seconds) after it takes off.\n\n**Plot the point on the graph of $f$ that corresponds to the time when the hovercraft reached its maximum height.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/76159578db3fed0900ad1974af7c6042cb2d18fa","width":400},"correct":{"coords":[[1,8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["\\□□□□{□□□□ (□□□□□□□)}","\\□□□□{□□□□□□ (□□□□□□)}"],"markings":"none","range":[[-2,4],[-1,9]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/28/52a19ae00607.json b/data/questions/5e/28/52a19ae00607.json new file mode 100644 index 0000000000..7c66db8002 --- /dev/null +++ b/data/questions/5e/28/52a19ae00607.json @@ -0,0 +1 @@ +{"content":"crwdns4115302:0crwdne4115302:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0b851cdf5d2c7e79e0b30ae9fc4c573ca488502a","width":425},"correct":{"coords":[[3,6],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/2f/085d64ce7048.json b/data/questions/5e/2f/085d64ce7048.json new file mode 100644 index 0000000000..47d359efe3 --- /dev/null +++ b/data/questions/5e/2f/085d64ce7048.json @@ -0,0 +1 @@ +{"content":"crwdns2975601:0crwdne2975601:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,2],[0,4],[1,1],[-0.5,-1.5],[-3.5,-2],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/5e/5d/c0b52e1c517a.json b/data/questions/5e/5d/c0b52e1c517a.json new file mode 100644 index 0000000000..3b83f4eb8d --- /dev/null +++ b/data/questions/5e/5d/c0b52e1c517a.json @@ -0,0 +1 @@ +{"content":"At Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | ||\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[8,5],[16,8],[24,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"markings":"graph","range":[[-2,25],[-1,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ýéèśŝ","correct":false},{"content":"ŃŇóò","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/5e/61/9c54d05c48b5.json b/data/questions/5e/61/9c54d05c48b5.json new file mode 100644 index 0000000000..e083cc6737 --- /dev/null +++ b/data/questions/5e/61/9c54d05c48b5.json @@ -0,0 +1 @@ +{"content":"Savannah used $10$ beads to make herself a necklace. She decided to make necklaces for her friends and used $5$ beads in each of those necklaces. In the graph below, $f$ represents the number of necklaces Savannah made for friends, and $b$ represents the beads she used all together.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$b = 5f + 10$\n\n\n**Plot points on the graph that show the number of beads Savannah will use by making $2$ and $4$ necklaces.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,20],[4,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["\\□□□□{□□□□□□□□□}","\\□□□□{□□□□□}"],"markings":"graph","range":[[-1,10],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/68/1aedf5448bb7.json b/data/questions/5e/68/1aedf5448bb7.json new file mode 100644 index 0000000000..b872c5b0fb --- /dev/null +++ b/data/questions/5e/68/1aedf5448bb7.json @@ -0,0 +1 @@ +{"content":"crwdns3897491:0crwdne3897491:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a1c417d2533de29242b0d105c1ec32a8504a666","width":425},"correct":{"coords":[[0,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/6e/d6df13c6b987.json b/data/questions/5e/6e/d6df13c6b987.json new file mode 100644 index 0000000000..d9b37803f1 --- /dev/null +++ b/data/questions/5e/6e/d6df13c6b987.json @@ -0,0 +1 @@ +{"content":"**Graph $-9x+6y=18$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[-2,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/8f/4217ac714e8e.json b/data/questions/5e/8f/4217ac714e8e.json new file mode 100644 index 0000000000..f085df4298 --- /dev/null +++ b/data/questions/5e/8f/4217ac714e8e.json @@ -0,0 +1 @@ +{"content":"The $5$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $5$ points, plot the $5$ corresponding points that must be on the graph of $y=\\log_b{x}$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d859f953d57753ceff901ea5bed2674a3b3d9ef6.png","width":425},"correct":{"coords":[[1,0],[2,1],[4,2],[8,3],[16,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["x","y"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/9f/cffeba7d433b.json b/data/questions/5e/9f/cffeba7d433b.json new file mode 100644 index 0000000000..0d8d1a0e95 --- /dev/null +++ b/data/questions/5e/9f/cffeba7d433b.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}-1 & -2 \\\\ -2 & -1\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}2 \\\\ 0\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/164c56f418bfe04925b36bb5deba83c3fdaf594e","width":425},"correct":{"coords":[[[0,0],[-2,-4]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/b1/cd0c98ffc244.json b/data/questions/5e/b1/cd0c98ffc244.json new file mode 100644 index 0000000000..1e7f93332b --- /dev/null +++ b/data/questions/5e/b1/cd0c98ffc244.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{2}(x-2)^2-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-4],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/b2/5173dfba5aeb.json b/data/questions/5e/b2/5173dfba5aeb.json new file mode 100644 index 0000000000..21a462dcf3 --- /dev/null +++ b/data/questions/5e/b2/5173dfba5aeb.json @@ -0,0 +1 @@ +{"content":"[Q2] Consider the following trigonometric function:\n\n$\\qquad f(x)=4\\sin(0.5x+\\pi)-3$\n\n**Graph $f(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-4,-3],[-2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/c4/88a729133224.json b/data/questions/5e/c4/88a729133224.json new file mode 100644 index 0000000000..6f0286692b --- /dev/null +++ b/data/questions/5e/c4/88a729133224.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/cd/7fc34eda71f4.json b/data/questions/5e/cd/7fc34eda71f4.json new file mode 100644 index 0000000000..6ec2ba1129 --- /dev/null +++ b/data/questions/5e/cd/7fc34eda71f4.json @@ -0,0 +1 @@ +{"content":"crwdns6420137:0$pcrwdnd6420137:0$x$crwdne6420137:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0.5,0],[-3,0],[-1,0],[2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/dc/931d11de8e5d.json b/data/questions/5e/dc/931d11de8e5d.json new file mode 100644 index 0000000000..eec3fd9efb --- /dev/null +++ b/data/questions/5e/dc/931d11de8e5d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-3)^2+(y-7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/e1/07fe0c0b1a45.json b/data/questions/5e/e1/07fe0c0b1a45.json new file mode 100644 index 0000000000..461e2e3b5f --- /dev/null +++ b/data/questions/5e/e1/07fe0c0b1a45.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $9$ square units.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,-1],[0,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/ed/f7f438c27ab1.json b/data/questions/5e/ed/f7f438c27ab1.json new file mode 100644 index 0000000000..5ecd0f09d1 --- /dev/null +++ b/data/questions/5e/ed/f7f438c27ab1.json @@ -0,0 +1 @@ +{"content":"crwdns3362572:0$fcrwdnd3362572:0$gcrwdnd3362572:0{x+4}crwdnd3362572:0$ycrwdnd3362572:0$ycrwdnd3362572:0$x_1$crwdnd3362572:0$x_2$crwdnd3362572:0{x+4}crwdnd3362572:0$x_1crwdnd3362572:0$x_1$crwdnd3362572:0{0.5}crwdne3362572:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"asymptote":[[-10,1],[10,1]],"coords":[[-3,3],[-4,2]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad509bded0be388a4ab827b719a43341e872ef46","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-2.567},{"maxError":0.5,"message":"crwdns3882553:0crwdne3882553:0","simplify":"required","status":"wrong","strict":false,"value":-4}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5e/fe/d1aa1eb08eb9.json b/data/questions/5e/fe/d1aa1eb08eb9.json new file mode 100644 index 0000000000..351f83d086 --- /dev/null +++ b/data/questions/5e/fe/d1aa1eb08eb9.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=5+6i$ \n* $ w=-5+ 6i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/4056f2231503ab963f18e11a3753fb7af987a47d.png","width":425},"correct":{"coords":[[-4.5,6],[9,0],[0,6],[4.5,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/09/d9380279e85d.json b/data/questions/5f/09/d9380279e85d.json new file mode 100644 index 0000000000..842a413af6 --- /dev/null +++ b/data/questions/5f/09/d9380279e85d.json @@ -0,0 +1 @@ +{"content":"**Graph $12x-9y=36$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-4],[3,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/14/4dbcf4c540bb.json b/data/questions/5f/14/4dbcf4c540bb.json new file mode 100644 index 0000000000..541debaccc --- /dev/null +++ b/data/questions/5f/14/4dbcf4c540bb.json @@ -0,0 +1 @@ +{"content":"crwdns2988131:0crwdne2988131:0","images":{"https://ka-perseus-images.s3.amazonaws.com/0c5cb6794a494c00353580d505daea2b306880e9.png":{"height":198,"width":374},"https://ka-perseus-images.s3.amazonaws.com/b20a059f8f157f0e48bfe7ecaee5d40a38822976.png":{"height":161,"width":215}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[2.8061354926511557,6.017776983877903]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/16/78ce0e95ba20.json b/data/questions/5f/16/78ce0e95ba20.json new file mode 100644 index 0000000000..34e69439c0 --- /dev/null +++ b/data/questions/5f/16/78ce0e95ba20.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/69cf49b23ee6020b29698bb148db75ade1e519ef","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-4,1],[6,-1.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/1f/b355e4c99b59.json b/data/questions/5f/1f/b355e4c99b59.json new file mode 100644 index 0000000000..9bd468d027 --- /dev/null +++ b/data/questions/5f/1f/b355e4c99b59.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/051fee8f64c1daba973a6fc9425f944be28a1752","width":425},"correct":{"coords":[[-5,-3],[-2,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/1f/ff4e2831e7d0.json b/data/questions/5f/1f/ff4e2831e7d0.json new file mode 100644 index 0000000000..ee20bedd29 --- /dev/null +++ b/data/questions/5f/1f/ff4e2831e7d0.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdc1f82756f42b1677a2409e287607ab0392a239","scale":"1","bottom":"0","left":"0","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,6],[-2,6]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"segment","numSegments":2},"correct":{"type":"segment","numSegments":2,"coords":[[[2,5],[5,0]],[[2,2],[5,0]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/25/07504c7329bc.json b/data/questions/5f/25/07504c7329bc.json new file mode 100644 index 0000000000..9e83169bcc --- /dev/null +++ b/data/questions/5f/25/07504c7329bc.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -2|x-3|+5, ~~\\text{Domain}~~[0,6]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[0,-1],[3,5]],[[6,-1],[3,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/5f/28/ecb3a7d83ca0.json b/data/questions/5f/28/ecb3a7d83ca0.json new file mode 100644 index 0000000000..93a3244608 --- /dev/null +++ b/data/questions/5f/28/ecb3a7d83ca0.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $PLAN$ is rotated $-270^\\circ$ about the point $(-5,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7214df9f238c4031e89dc998087bca316c695572","width":425},"correct":{"coords":[[1,1],[1,9],[4,9],[5,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/30/0bcec648a8e4.json b/data/questions/5f/30/0bcec648a8e4.json new file mode 100644 index 0000000000..1e7662b27b --- /dev/null +++ b/data/questions/5f/30/0bcec648a8e4.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -5+8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-5,8]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/44/c2dd7ba64465.json b/data/questions/5f/44/c2dd7ba64465.json new file mode 100644 index 0000000000..d978ba0a11 --- /dev/null +++ b/data/questions/5f/44/c2dd7ba64465.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{4}{5}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{4}{5}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=4/5x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,4],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/55/5c736bb908d0.json b/data/questions/5f/55/5c736bb908d0.json new file mode 100644 index 0000000000..feeca10f0c --- /dev/null +++ b/data/questions/5f/55/5c736bb908d0.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{x^2}{5625}-\\dfrac{y^2}{1600}=1$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/987cb45ab8c06d40b7af89d46bb0bc234dfc580c","width":425},"correct":{"coords":[[85,0],[-85,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["□","□"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/68/6a7330135e34.json b/data/questions/5f/68/6a7330135e34.json new file mode 100644 index 0000000000..c9413368c2 --- /dev/null +++ b/data/questions/5f/68/6a7330135e34.json @@ -0,0 +1 @@ +{"content":"Graph the following inequality:\n\n$\\qquad 2x-y \\geq 8$ \n\n(\\Begin magical sandcastle widget)\n\n*Shade other side button* \n\n*Solid/dashed line button*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(5,-3)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"height":425,"width":425}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1],[0,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"clue":"Be careful to shade the correct side!","content":"No","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/5f/70/ae80b04b7dc5.json b/data/questions/5f/70/ae80b04b7dc5.json new file mode 100644 index 0000000000..dc36e4b5b8 --- /dev/null +++ b/data/questions/5f/70/ae80b04b7dc5.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9accfb93d8f5a2c86387841a2a938dddfa6aeda6","width":425},"box":[288,288],"correct":{"coords":[[0,-3],[4,-3],[-7,-7]],"numPoints":"unlimited","type":"point"},"editableSettings":["graph","snap","image","measure"],"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/7b/58af88fedd45.json b/data/questions/5f/7b/58af88fedd45.json new file mode 100644 index 0000000000..d736842dab --- /dev/null +++ b/data/questions/5f/7b/58af88fedd45.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-6,6)$, and the upper-right coordinates are $(1, 6)$. The rectangle has a perimeter of $30$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,-2],[1,6],[-6,6],[-6,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/7b/d7b3cff1288a.json b/data/questions/5f/7b/d7b3cff1288a.json new file mode 100644 index 0000000000..9abd906941 --- /dev/null +++ b/data/questions/5f/7b/d7b3cff1288a.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $4$ units to the right and $1$ unit up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b07152498a84c8447f211b57cd7aff1a5a7b754d","width":425},"correct":{"coords":[[5,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/96/3879945a00b3.json b/data/questions/5f/96/3879945a00b3.json new file mode 100644 index 0000000000..0ac5d33541 --- /dev/null +++ b/data/questions/5f/96/3879945a00b3.json @@ -0,0 +1 @@ +{"content":"**Construct an $85^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-0.7183505507981855,-0.7892156326593263],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/9d/b914591d1a28.json b/data/questions/5f/9d/b914591d1a28.json new file mode 100644 index 0000000000..e3e5147a23 --- /dev/null +++ b/data/questions/5f/9d/b914591d1a28.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93849294999d51d850b8168712294e8399b89e80","width":425},"correct":{"coords":[[2,1],[0,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/a3/f076be79f30d.json b/data/questions/5f/a3/f076be79f30d.json new file mode 100644 index 0000000000..d053a34996 --- /dev/null +++ b/data/questions/5f/a3/f076be79f30d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-3,-2)$, and which has the point $(-3,-9)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,-2],"radius":7,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/a9/0d226605f904.json b/data/questions/5f/a9/0d226605f904.json new file mode 100644 index 0000000000..da6d6b542b --- /dev/null +++ b/data/questions/5f/a9/0d226605f904.json @@ -0,0 +1 @@ +{"content":"crwdns3457586:0crwdne3457586:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,2],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/b7/6631b3bee851.json b/data/questions/5f/b7/6631b3bee851.json new file mode 100644 index 0000000000..583f8e7339 --- /dev/null +++ b/data/questions/5f/b7/6631b3bee851.json @@ -0,0 +1 @@ +{"content":"Coach Kawa collected data on $5$ of his baseball players. The points show shoe size and the number of runs scored this week by $4$ of his players. His fifth player, Nardine, wears size $7$ shoes and scored $9$ runs this week.\n \n**Plot Nardine's shoe size and runs on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which player scored the most runs?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c8d86e12cc04becc9993bd50adf87e1a9725369c","width":400},"correct":{"coords":[[7,9]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x",""],"markings":"none","range":[[-2,13],[-2,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Nardine","correct":false},{"content":"Jason","correct":false},{"content":"Paulo","correct":false},{"content":"Rebecca","correct":false},{"content":"Carmen","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/5f/ce/8c969734a655.json b/data/questions/5f/ce/8c969734a655.json new file mode 100644 index 0000000000..35b2a08290 --- /dev/null +++ b/data/questions/5f/ce/8c969734a655.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = 2f(x+5)-1$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-8,-7],[-2,5]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,-3],"color":"grayH","filled":true},{"type":"point","coord":[3,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/5f/db/87a520fc8de6.json b/data/questions/5f/db/87a520fc8de6.json new file mode 100644 index 0000000000..507e5e610f --- /dev/null +++ b/data/questions/5f/db/87a520fc8de6.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+3)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-3,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/02/af0dfa61600f.json b/data/questions/60/02/af0dfa61600f.json new file mode 100644 index 0000000000..e1e9a0edee --- /dev/null +++ b/data/questions/60/02/af0dfa61600f.json @@ -0,0 +1 @@ +{"content":"**Graph $3x+2y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,6],[4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/02/fb7d07e83cc2.json b/data/questions/60/02/fb7d07e83cc2.json new file mode 100644 index 0000000000..8922aaa6f0 --- /dev/null +++ b/data/questions/60/02/fb7d07e83cc2.json @@ -0,0 +1 @@ +{"content":"crwdns6902038:0$hcrwdnd6902038:0{4}crwdnd6902038:0{2}crwdne6902038:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[0,3],[-2,3.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/06/952345f4538e.json b/data/questions/60/06/952345f4538e.json new file mode 100644 index 0000000000..dd65e4d885 --- /dev/null +++ b/data/questions/60/06/952345f4538e.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ddf981ea31cd07ed4b9607c46fedd7e451e3e513","width":425},"correct":{"coords":[[0,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/14/5067556f4e5a.json b/data/questions/60/14/5067556f4e5a.json new file mode 100644 index 0000000000..39e3cbc9df --- /dev/null +++ b/data/questions/60/14/5067556f4e5a.json @@ -0,0 +1 @@ +{"content":"Mandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,10],[2,20],[3,30]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["$\\text{Hours}$","$\\text{Earnings}$"],"markings":"graph","range":[[-1,6.5],[-1,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/60/16/c899fa12ab90.json b/data/questions/60/16/c899fa12ab90.json new file mode 100644 index 0000000000..b2ac891b95 --- /dev/null +++ b/data/questions/60/16/c899fa12ab90.json @@ -0,0 +1 @@ +{"content":"crwdns4117380:0$x$crwdnd4117380:0$y$crwdnd4117380:0$x$crwdnd4117380:0$2$crwdnd4117380:0$5$crwdnd4117380:0$y$crwdnd4117380:0$x$crwdnd4117380:0$y$crwdnd4117380:0:-:crwdnd4117380:0$0$crwdnd4117380:0$1$crwdnd4117380:0$2$crwdne4117380:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[1,7],[2,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/19/43612333f269.json b/data/questions/60/19/43612333f269.json new file mode 100644 index 0000000000..e0bffce727 --- /dev/null +++ b/data/questions/60/19/43612333f269.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -9-7i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-9,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/3d/9e9f8435c96d.json b/data/questions/60/3d/9e9f8435c96d.json new file mode 100644 index 0000000000..19de7f6bb1 --- /dev/null +++ b/data/questions/60/3d/9e9f8435c96d.json @@ -0,0 +1 @@ +{"content":"In a recent gum-chewing contest, Violet tried to blow the biggest blueberry-flavored bubble ever. She started with no gum in her mouth, and every $3$ seconds, she added $1$ piece of gum to form a huge bubble. On the graph below, the $x$-axis represents time (in seconds) and the $y$-axis represents pieces of gum in Violet's bubble. \n\n**Plot points to show how many pieces of gum were in Violet's bubble after $3$, $6$, and $9$ seconds**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[6,2],[9,3],[3,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/48/6bbc02bd0e6d.json b/data/questions/60/48/6bbc02bd0e6d.json new file mode 100644 index 0000000000..b354c15510 --- /dev/null +++ b/data/questions/60/48/6bbc02bd0e6d.json @@ -0,0 +1 @@ +{"content":"**Which of the following is a correct interpretation of the expression $-2 + (-7)$?**\n\n[[☃ radio 1]]\n\n[[☃ image 1]]\n\n","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"A number line with a tick in the middle labeled as 0. A negative sign is above the left arrowhead, and a positive sign is above the right arrowhead of the number line.","backgroundImage":{"height":80,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e04144f0a5803039dd64c42ac3e47e3dc5df9588.png","width":460},"box":[460,80],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The number that is $2$ to the *left* of $7$ on the number line","correct":false},{"content":"The number that is $2$ to the *right* of $7$ on the number line","correct":false},{"content":"The number that is $7$ to the *left* of $-2$ on the number line","correct":true},{"content":"The number that is $7$ to the *right* of $-2$ on the number line","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/4e/4d7730e67d93.json b/data/questions/60/4e/4d7730e67d93.json new file mode 100644 index 0000000000..3a65063ed8 --- /dev/null +++ b/data/questions/60/4e/4d7730e67d93.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-6)$ and has a slope of $\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-5,-6],[-2,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/54/d7b1fa41478e.json b/data/questions/60/54/d7b1fa41478e.json new file mode 100644 index 0000000000..882db169bb --- /dev/null +++ b/data/questions/60/54/d7b1fa41478e.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{3}x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[3,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"The equation represents a proportional relationship.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $\\dfrac{2}{3}$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{2}{3}$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $2$ units in $y$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $1$ unit in $y$.","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/60/56/8787cc99059d.json b/data/questions/60/56/8787cc99059d.json new file mode 100644 index 0000000000..c0d3f9cffa --- /dev/null +++ b/data/questions/60/56/8787cc99059d.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x+2)(2x^2+3x-9)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-3,0],[-2,0],[1.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/66/f5e2079c4024.json b/data/questions/60/66/f5e2079c4024.json new file mode 100644 index 0000000000..2a4443cc61 --- /dev/null +++ b/data/questions/60/66/f5e2079c4024.json @@ -0,0 +1 @@ +{"content":"You built a water balloon launcher and can use it to launch $4$ balloons per minute. You have a bucket filled with $40$ filled water balloons. In the graph below, $m$ represents the minutes you have been launching water balloons, and $b$ represents the number of water balloons remaining in the bucket to be launched.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$b = 40-4m$\n\n**Plot points on the graph that show the number of water balloons remaining in the bucket if you have been launching balloons for $5$ minutes and $9$ minutes.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,20],[9,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\text{Minutes}","\\text{Balloons remaining}"],"markings":"graph","range":[[-1,10],[-1,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/8c/fad116a963e1.json b/data/questions/60/8c/fad116a963e1.json new file mode 100644 index 0000000000..98000d6058 --- /dev/null +++ b/data/questions/60/8c/fad116a963e1.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(0,-5)$.** \n$$ \n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/473b029fdd1c64c9461b66876f702f6bf54d3612)\n\n**What is located $3$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/473b029fdd1c64c9461b66876f702f6bf54d3612":{"height":425,"width":425}},"widgets":{"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":true},{"content":"Point $C$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/8e/4b7e84b2f22f.json b/data/questions/60/8e/4b7e84b2f22f.json new file mode 100644 index 0000000000..23348f4762 --- /dev/null +++ b/data/questions/60/8e/4b7e84b2f22f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b23a1ea6cd492cacc5a6942afefcb1dc35e93ec5","width":400},"correct":{"coords":[[-6,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/91/c191e6717c93.json b/data/questions/60/91/c191e6717c93.json new file mode 100644 index 0000000000..20e0db0f34 --- /dev/null +++ b/data/questions/60/91/c191e6717c93.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nTimothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n| | |\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,10],[11,15],[18,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[2,5],"labels":["$\\text{Km}$","$\\text{Minutes}$"],"markings":"graph","range":[[-4,22],[-5,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[2,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/60/9f/25aa7c750b6c.json b/data/questions/60/9f/25aa7c750b6c.json new file mode 100644 index 0000000000..0d9bcd4933 --- /dev/null +++ b/data/questions/60/9f/25aa7c750b6c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +16x -16y +124=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-8,8],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/a7/a413241e37b6.json b/data/questions/60/a7/a413241e37b6.json new file mode 100644 index 0000000000..2fa32674bf --- /dev/null +++ b/data/questions/60/a7/a413241e37b6.json @@ -0,0 +1 @@ +{"content":"crwdns3019933:0$x$crwdne3019933:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-7,-2],[3,3],[3,-2]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/af/860857f7f495.json b/data/questions/60/af/860857f7f495.json new file mode 100644 index 0000000000..21eebdec20 --- /dev/null +++ b/data/questions/60/af/860857f7f495.json @@ -0,0 +1 @@ +{"content":"crwdns3362576:0$fcrwdnd3362576:0{-0.2x}crwdnd3362576:0$gcrwdnd3362576:0$ycrwdnd3362576:0$ycrwdnd3362576:0$x_1$crwdnd3362576:0$x_2$crwdnd3362576:0{-0.2x}crwdnd3362576:0$x_1crwdnd3362576:0$x_1$crwdnd3362576:0{0.5}crwdne3362576:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[3,4],[0,-2]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53ee732cb5f0c28c0d6595b4084b86bdc888a6b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":4.375},{"maxError":0.5,"message":"crwdns3882553:0crwdne3882553:0","simplify":"required","status":"wrong","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/b9/9890f0ba8950.json b/data/questions/60/b9/9890f0ba8950.json new file mode 100644 index 0000000000..e08fd97785 --- /dev/null +++ b/data/questions/60/b9/9890f0ba8950.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/051fee8f64c1daba973a6fc9425f944be28a1752","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-5,-3],[-2,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/c1/ad69f4d3cd44.json b/data/questions/60/c1/ad69f4d3cd44.json new file mode 100644 index 0000000000..764159337a --- /dev/null +++ b/data/questions/60/c1/ad69f4d3cd44.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=x-2\n\\\\\\\\\n& y=6x+8\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,8],[-1,2]],[[0,-2],[1,-1]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/c5/8838a487b26f.json b/data/questions/60/c5/8838a487b26f.json new file mode 100644 index 0000000000..8267d0c0aa --- /dev/null +++ b/data/questions/60/c5/8838a487b26f.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create a right angle.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n \n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":true},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/dd42acf3c2415e14f48c82ba6ebf257517729582.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-1.0882963141137232,8.088296314113723],[6,1],[-2.5890410580912864,-7.589041058091285]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/cb/ea63e9954d1b.json b/data/questions/60/cb/ea63e9954d1b.json new file mode 100644 index 0000000000..56abcb9834 --- /dev/null +++ b/data/questions/60/cb/ea63e9954d1b.json @@ -0,0 +1 @@ +{"content":"Cam attempted to graph the equation $3(y-2) + x = 9$, but he got it wrong! His graph is shown below.\n\n**Step 1: Find an actual solution. \nWhen $x$ is $3$, the value of $y$ is** [[☃ numeric-input 1]].\n\n**Step 2: Plot the solution.**\n\n[[☃ interactive-graph 1]]\n\n**Step 3: Check if the solution is on the graph.**\n\n[[☃ radio 1]]","images":{"http://s3.amazonaws.com/illustrativemathematics/images/000/000/818/medium/seven_circles_ba4a5fd8b0a4a751dc704e843912f6ef.jpg?1336174598":{"height":300,"width":291}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":null,"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":null}],"size":"small"},"type":"numeric-input"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes, the solution is on Cam's graph.","correct":false},{"content":"No, the solution is not on Cam's graph. Therefore, his graph is wrong.","correct":false}],"displayCount":null,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/60/cc/7155242bf3af.json b/data/questions/60/cc/7155242bf3af.json new file mode 100644 index 0000000000..e220901397 --- /dev/null +++ b/data/questions/60/cc/7155242bf3af.json @@ -0,0 +1 @@ +{"content":"crwdns2972204:0crwdne2972204:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/7f36fb700b82514620be8b8e49bf3fb4637c9ac1.png","width":400},"correct":{"coords":[[-1,3],[8,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1.5,8.5],[-2,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/cf/5bee5050bc20.json b/data/questions/60/cf/5bee5050bc20.json new file mode 100644 index 0000000000..38d67540b9 --- /dev/null +++ b/data/questions/60/cf/5bee5050bc20.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $4$ units to the left and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/94a5bc60ed8d93cef137d664124e8a5a494a95fc","width":425},"correct":{"coords":[[-6,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/db/d9759c9e7844.json b/data/questions/60/db/d9759c9e7844.json new file mode 100644 index 0000000000..51141241a5 --- /dev/null +++ b/data/questions/60/db/d9759c9e7844.json @@ -0,0 +1 @@ +{"content":"crwdns3898361:0$ycrwdne3898361:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,5],[1,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/60/f2/d759fc6f5bef.json b/data/questions/60/f2/d759fc6f5bef.json new file mode 100644 index 0000000000..02552b028c --- /dev/null +++ b/data/questions/60/f2/d759fc6f5bef.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-1,0.5)$ and has a radius of $3.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,0.5],"radius":3.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/25/468237956312.json b/data/questions/61/25/468237956312.json new file mode 100644 index 0000000000..cdb1a7496f --- /dev/null +++ b/data/questions/61/25/468237956312.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $30^\\circ$, $115^\\circ$, and $35^\\circ$ angles.**\n\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.640450870633723,2.2429119842261436],[0.13809773490553745,10.91055677536669],[3.699587346119687,2.520213048931131]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/27/55276930d161.json b/data/questions/61/27/55276930d161.json new file mode 100644 index 0000000000..edcfd39475 --- /dev/null +++ b/data/questions/61/27/55276930d161.json @@ -0,0 +1 @@ +{"content":"Draw the ray with initial point at $(0, 0)$ passing through the point $(2, 3)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,0],[2,3]],"type":"ray"},"graph":{"type":"ray"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/2b/90bc8d818abd.json b/data/questions/61/2b/90bc8d818abd.json new file mode 100644 index 0000000000..db76bea5c4 --- /dev/null +++ b/data/questions/61/2b/90bc8d818abd.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dd2a53cbdf9f36a303e5911bcb959ebfa327d33","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-6,3],[5,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/39/1da9cfbd4180.json b/data/questions/61/39/1da9cfbd4180.json new file mode 100644 index 0000000000..6b5dc3bb5e --- /dev/null +++ b/data/questions/61/39/1da9cfbd4180.json @@ -0,0 +1 @@ +{"content":"crwdns6645560:0$f$crwdnd6645560:0$f$crwdne6645560:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd6ed271d8ae39e908e3b4e0f9e6f8d7665dd8cf","width":400},"correct":{"coords":[[0,12]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,4],[-4,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/5f/0965c77b9c66.json b/data/questions/61/5f/0965c77b9c66.json new file mode 100644 index 0000000000..680e099f0b --- /dev/null +++ b/data/questions/61/5f/0965c77b9c66.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $0.2$ units in $t$ corresponds to an increase of $1.8$ units in $d$.\n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d?$) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the line.\n**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[1,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ťț","ďđ"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/65/ca5ea073cd5d.json b/data/questions/61/65/ca5ea073cd5d.json new file mode 100644 index 0000000000..a36009dd6a --- /dev/null +++ b/data/questions/61/65/ca5ea073cd5d.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=3x^2+12x+5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-2,-7],[0,5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/6a/02ebc5cb9118.json b/data/questions/61/6a/02ebc5cb9118.json new file mode 100644 index 0000000000..72334e0197 --- /dev/null +++ b/data/questions/61/6a/02ebc5cb9118.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/493bfd6353b9dd96b9c6260ef08a1cae7dcfe6ab","width":400},"correct":{"coords":[[-8,-7],[7,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/73/99d172613096.json b/data/questions/61/73/99d172613096.json new file mode 100644 index 0000000000..2dc12604b5 --- /dev/null +++ b/data/questions/61/73/99d172613096.json @@ -0,0 +1 @@ +{"content":"Lane is participating in a $12$-mile walk for his favorite charity. The walk organizers plotted the course on a coordinate map. The starting point is at $(5,1)$, and the ending point is at $(5,13)$. There's a water station at $(5,7)$ to make sure the walkers stay hydrated.\n\n**Plot the starting point, ending point, and the water station on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Lane be in the walk when he reaches the water station?** \n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[5,1],[5,7],[5,13]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Less than halfway through the walk","correct":false},{"content":"Halfway through the walk","correct":true},{"content":"More than halfway through the walk"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/61/74/65af5a52e6b5.json b/data/questions/61/74/65af5a52e6b5.json new file mode 100644 index 0000000000..ec9e37f13a --- /dev/null +++ b/data/questions/61/74/65af5a52e6b5.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(0, 9), (8, 0), (8, -7), (-3,-5),(-5, 0), (-5, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-5],[-5,0],[-5,9],[0,9],[8,0],[8,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/75/904805b1d686.json b/data/questions/61/75/904805b1d686.json new file mode 100644 index 0000000000..5ee5535a59 --- /dev/null +++ b/data/questions/61/75/904805b1d686.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-19$|$23$|$7$|$23$|$-19$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/22f4591e46493a9f6d2fce669ab638efa8e90a87","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,-3],[5,-2]],[[-5,0],[5,1]],[[-5,-6],[5,4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/61/7c/84044cc73842.json b/data/questions/61/7c/84044cc73842.json new file mode 100644 index 0000000000..621a153b3f --- /dev/null +++ b/data/questions/61/7c/84044cc73842.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b1439786b4f0d28c3f0830aa464f729089835484","width":430},"correct":{"coords":[[0,8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/83/b1e671cc8772.json b/data/questions/61/83/b1e671cc8772.json new file mode 100644 index 0000000000..ae130dd7d0 --- /dev/null +++ b/data/questions/61/83/b1e671cc8772.json @@ -0,0 +1 @@ +{"content":"crwdns3394175:0$ycrwdne3394175:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[1,3],[0,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/8d/49f952cae7a6.json b/data/questions/61/8d/49f952cae7a6.json new file mode 100644 index 0000000000..57ca477b36 --- /dev/null +++ b/data/questions/61/8d/49f952cae7a6.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/41ee82653175d0a7cd8512587919d90184f83e69","width":425},"correct":{"coords":[[-4,-6],[-4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/8f/3aa0292765e8.json b/data/questions/61/8f/3aa0292765e8.json new file mode 100644 index 0000000000..35a52e9dc3 --- /dev/null +++ b/data/questions/61/8f/3aa0292765e8.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-6x^2+24x-18$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2,6],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/9d/ea178bd9f2d5.json b/data/questions/61/9d/ea178bd9f2d5.json new file mode 100644 index 0000000000..e3160a6423 --- /dev/null +++ b/data/questions/61/9d/ea178bd9f2d5.json @@ -0,0 +1 @@ +{"content":"Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with sides of length $100\\text{ m}$.\n\n**Draw the city block such that $1$ unit on the grid below represents $5\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[10,-9],[10,11],[-10,11],[-10,-9]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/ba/e087b2c2f66a.json b/data/questions/61/ba/e087b2c2f66a.json new file mode 100644 index 0000000000..72498c133f --- /dev/null +++ b/data/questions/61/ba/e087b2c2f66a.json @@ -0,0 +1 @@ +{"content":"Graph the equation $y=x+1$.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,1],[1,2]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/c1/610f87dd3ce4.json b/data/questions/61/c1/610f87dd3ce4.json new file mode 100644 index 0000000000..fd6431daf8 --- /dev/null +++ b/data/questions/61/c1/610f87dd3ce4.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1197a7ebeae001f5aebe8610344448e891f8cf38","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/c7/1458196e58ee.json b/data/questions/61/c7/1458196e58ee.json new file mode 100644 index 0000000000..04c4d1e45b --- /dev/null +++ b/data/questions/61/c7/1458196e58ee.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable pentagon to construct the image of pentagon $TULIP$ after the rotation $R_{90^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/1c610173e7b3f5d011a62e832d24fd6890776655.png","width":425},"correct":{"coords":[[6,5],[4,2],[4,-3],[7,-2],[8,2]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/61/cf/e89cc833b18c.json b/data/questions/61/cf/e89cc833b18c.json new file mode 100644 index 0000000000..d7703b86ba --- /dev/null +++ b/data/questions/61/cf/e89cc833b18c.json @@ -0,0 +1 @@ +{"content":"**Graph a parabola whose $x$-intercepts are at $x=-3$ and $x=5$ and whose minimum value is $y=-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-4],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/d2/61a3e4d24ff9.json b/data/questions/61/d2/61a3e4d24ff9.json new file mode 100644 index 0000000000..5492696ec4 --- /dev/null +++ b/data/questions/61/d2/61a3e4d24ff9.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-6,8)$ and $(0,8)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,8],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-6}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/e3/59fec3ee263c.json b/data/questions/61/e3/59fec3ee263c.json new file mode 100644 index 0000000000..9b5b042efd --- /dev/null +++ b/data/questions/61/e3/59fec3ee263c.json @@ -0,0 +1 @@ +{"content":"crwdns3354910:0$m$crwdnd3354910:0$z_1$crwdnd3354910:0$z_2$crwdne3354910:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3f324f213832bfad3bdd71766e6d8923a30e97c","width":430},"correct":{"coords":[[0,-1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/61/f9/1944c10fd624.json b/data/questions/61/f9/1944c10fd624.json new file mode 100644 index 0000000000..db2f6a459f --- /dev/null +++ b/data/questions/61/f9/1944c10fd624.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+10x+6y+18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,-3],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/1f/5ff06785c79a.json b/data/questions/62/1f/5ff06785c79a.json new file mode 100644 index 0000000000..d4b16084df --- /dev/null +++ b/data/questions/62/1f/5ff06785c79a.json @@ -0,0 +1 @@ +{"content":"Kayli's tablet has a cracked screen. On a coordinate map of the screen, the crack starts at the point $(1,3)$ and ends at the point $(10,3)$. The crack connects the two points in a straight line.\n\n**Plot the points where the crack starts and ends on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How long is the crack?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[10,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/2e/92ca9f5f3f45.json b/data/questions/62/2e/92ca9f5f3f45.json new file mode 100644 index 0000000000..be9fd7bd75 --- /dev/null +++ b/data/questions/62/2e/92ca9f5f3f45.json @@ -0,0 +1 @@ +{"content":"A quadratic function $f$ has two real solutions, $x=-6$ and $x=8$, that make $f(x)=0$.\n\n**Select the equations that could define $f$ in standard form.**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"quadratic"},"valid":true,"correct":{"type":"quadratic"}},"type":"interactive-graph","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"interactive-graph 2":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54f1504dc9a3d4345177669b462ddf3081f5a0f5","width":265,"height":265},"labels":[],"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 8 to 8. The quadratic function is concave up, has x intercepts at (negative 4, 0) and (2, 0), and an f of x intercept at (0, -4).","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"expression 1":{"options":{"answerForms":[{"considered":"correct","form":true,"key":0,"simplify":false,"value":"-2x^{2}-2x+40","times":false,"functions":["f","g","h"],"buttonSets":["basic"],"buttonsVisible":"focused","linterContext":{"contentType":"","highlightLint":false,"paths":[],"stack":[]}}],"times":false,"buttonSets":["basic"],"functions":["f","g","h"],"static":false},"type":"expression","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"$f(x)=3x^{2}-6x-144$"},{"correct":true,"content":"$f(x)=-3x^{2}+6x+144$"},{"correct":false,"content":"$f(x)=3x^{2}+6x-144$"},{"correct":false,"content":"$f(x)=-3x^{2}-6x+144$"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":true,"countChoices":true,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/62/3a/47dcc3159008.json b/data/questions/62/3a/47dcc3159008.json new file mode 100644 index 0000000000..9955ed5d21 --- /dev/null +++ b/data/questions/62/3a/47dcc3159008.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units to the left and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6d68f4a08a77506cbc4bdea3920255e82b709438","width":425},"correct":{"coords":[[3,-7],[-5,1],[-7,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/4a/c19a39d9bd7f.json b/data/questions/62/4a/c19a39d9bd7f.json new file mode 100644 index 0000000000..61b4e64780 --- /dev/null +++ b/data/questions/62/4a/c19a39d9bd7f.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = -4f(x-4)+1$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[[7,-11],[1,13]]],"hasBeenInteractedWith":true,"range":[[-14,14],[-14,14]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-14,14],[-14,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[5,5],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/6a/7bfce312d467.json b/data/questions/62/6a/7bfce312d467.json new file mode 100644 index 0000000000..008fe58daf --- /dev/null +++ b/data/questions/62/6a/7bfce312d467.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\sin\\left(\\dfrac{\\pi}{2}x\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,2],[1,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/6a/c76c1c91a83f.json b/data/questions/62/6a/c76c1c91a83f.json new file mode 100644 index 0000000000..b3f04df893 --- /dev/null +++ b/data/questions/62/6a/c76c1c91a83f.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\cos\\left(\\dfrac{\\pi}{4}x+\\dfrac{\\pi}{2}\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[0,3],[-2,3.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/6a/f747d86b0643.json b/data/questions/62/6a/f747d86b0643.json new file mode 100644 index 0000000000..1317e32bbe --- /dev/null +++ b/data/questions/62/6a/f747d86b0643.json @@ -0,0 +1 @@ +{"content":"**Construct a $25^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/004d5d51e040e2c4a11f270c84c52565546ed40a.png":{"height":125,"width":211},"https://ka-perseus-images.s3.amazonaws.com/1e10c080541ebc2aec4b2e8dc055d66b3468d783.png":{"height":179,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[4.288969718228789,6.125283554065734]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/6f/d8b25c8faefe.json b/data/questions/62/6f/d8b25c8faefe.json new file mode 100644 index 0000000000..c4ca9991f4 --- /dev/null +++ b/data/questions/62/6f/d8b25c8faefe.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=3x^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,1],[1,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/72/0a5eaeb921b2.json b/data/questions/62/72/0a5eaeb921b2.json new file mode 100644 index 0000000000..ac80b7731b --- /dev/null +++ b/data/questions/62/72/0a5eaeb921b2.json @@ -0,0 +1 @@ +{"content":"crwdns4115793:0crwdne4115793:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4bc1c0e73ed49e8e70bae7ff5227364d41b6a892","width":425},"correct":{"coords":[[0,3],[-6,5],[-4,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/74/0d4671f5ccc3.json b/data/questions/62/74/0d4671f5ccc3.json new file mode 100644 index 0000000000..91da7b09dc --- /dev/null +++ b/data/questions/62/74/0d4671f5ccc3.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the left and $6$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aff3679ed3f844f921fd59ac9b26ea5eeda848b2","width":425},"correct":{"coords":[[-2,-6],[3,-4],[-2,-3],[-1,-5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/7c/7ea2aafa2adb.json b/data/questions/62/7c/7ea2aafa2adb.json new file mode 100644 index 0000000000..c6946a1909 --- /dev/null +++ b/data/questions/62/7c/7ea2aafa2adb.json @@ -0,0 +1 @@ +{"content":"Cassie hit a golf ball. The function $f$ models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.\n\n**Plot the point on the graph of $f$ that corresponds to the ball's maximum height.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7ed3b60524f6ab5f7d3722be941fc93b0280606","width":400},"correct":{"coords":[[4,80]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,5],"labels":["\\text{Time (seconds)}","\\text{Height (meters)}"],"markings":"none","range":[[-2,10],[-10,90]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/87/b55fe27b0ca3.json b/data/questions/62/87/b55fe27b0ca3.json new file mode 100644 index 0000000000..fdb9b1c526 --- /dev/null +++ b/data/questions/62/87/b55fe27b0ca3.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$1.3$|$2.6$|$3.9$|$5.2$\n$y$|$0$|$1$|$2$|$3$|$4$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]] \n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.7692307692307693},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[13,10],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-14,14],[-14,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/93/4f5767b007f5.json b/data/questions/62/93/4f5767b007f5.json new file mode 100644 index 0000000000..df38c4916c --- /dev/null +++ b/data/questions/62/93/4f5767b007f5.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-x-6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[1,-7]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/94/e2969dc32251.json b/data/questions/62/94/e2969dc32251.json new file mode 100644 index 0000000000..0854c68cb3 --- /dev/null +++ b/data/questions/62/94/e2969dc32251.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f4a110969b2e6e1772058f9916fe08741fb2d54b.png","width":400},"correct":{"coords":[[3,4],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/99/49cac730a4b6.json b/data/questions/62/99/49cac730a4b6.json new file mode 100644 index 0000000000..eea6ab7ad2 --- /dev/null +++ b/data/questions/62/99/49cac730a4b6.json @@ -0,0 +1 @@ +{"content":"crwdns3462885:0$ycrwdne3462885:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-2],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/ab/d31c7ce7f179.json b/data/questions/62/ab/d31c7ce7f179.json new file mode 100644 index 0000000000..dfd2fb2ec1 --- /dev/null +++ b/data/questions/62/ab/d31c7ce7f179.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=3x-4\n\\\\\\\\\ny=2x\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-1,-7],[0,-4]],[[0,0],[2,4]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,1],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/bd/60d6f35b396f.json b/data/questions/62/bd/60d6f35b396f.json new file mode 100644 index 0000000000..f7a2746648 --- /dev/null +++ b/data/questions/62/bd/60d6f35b396f.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-4,4)$, and the upper-right coordinates are $(4,4)$. The rectangle has an area of $8$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,3],[4,4],[-4,4],[-4,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/bf/a5a09a0ed4db.json b/data/questions/62/bf/a5a09a0ed4db.json new file mode 100644 index 0000000000..70fe0b9ceb --- /dev/null +++ b/data/questions/62/bf/a5a09a0ed4db.json @@ -0,0 +1 @@ +{"content":"crwdns3462896:0$gcrwdne3462896:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,2],[1,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/c6/4d12bd1b19a3.json b/data/questions/62/c6/4d12bd1b19a3.json new file mode 100644 index 0000000000..8328ab1d09 --- /dev/null +++ b/data/questions/62/c6/4d12bd1b19a3.json @@ -0,0 +1 @@ +{"content":"**दो काले बिंदुओं को जोड़कर, पंचभुज से होकर जाने वाली एक सममित अक्ष बनाएँ।**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f4a110969b2e6e1772058f9916fe08741fb2d54b.png","width":400},"correct":{"coords":[[3,4],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/c9/3842e48e486e.json b/data/questions/62/c9/3842e48e486e.json new file mode 100644 index 0000000000..0a9ce14854 --- /dev/null +++ b/data/questions/62/c9/3842e48e486e.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f4a110969b2e6e1772058f9916fe08741fb2d54b.png","width":400},"correct":{"coords":[[3,4],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/cf/6c7e86eff91e.json b/data/questions/62/cf/6c7e86eff91e.json new file mode 100644 index 0000000000..94586dbf37 --- /dev/null +++ b/data/questions/62/cf/6c7e86eff91e.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-\\dfrac14$, $-1$, and $0.25$.**\n\n[[☃ radio 1]]","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 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$(-3, 4)$ and $(4, 4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,4],[4,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"ŔŘéèḿṁéèḿṁƀḃéèŕř ťțĥȟáàťț ďđíìśŝťțáàńňćĉéè śŝĥȟóòúùĺľďđ áàĺľẃẁáàýśŝ ƀḃéè 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1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4339d27be2c9183c6a87c4e3805a54b257497bef","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[8,-4],[-6,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/e7/c4297c9d5dcb.json b/data/questions/62/e7/c4297c9d5dcb.json new file mode 100644 index 0000000000..2f2e8d22d8 --- /dev/null +++ b/data/questions/62/e7/c4297c9d5dcb.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{5}x^2-2x-6$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-1],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/eb/f52cfb9d88a5.json b/data/questions/62/eb/f52cfb9d88a5.json new file mode 100644 index 0000000000..2ee63b9741 --- /dev/null +++ b/data/questions/62/eb/f52cfb9d88a5.json @@ -0,0 +1 @@ +{"content":"Tyler collected data on his $5$ pets. The points show the age and mass of $4$ of his pets. His fifth pet, Buddy, has a mass of $12 \\text { kg}$ and is $8$ years old.\n\n**Plot Buddy's mass and age on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which of Tyler's pets is the oldest?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d7b6afd9deefb286578725fdbb18a39ae3a17ac","width":400},"correct":{"coords":[[12,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□□","correct":false},{"content":"□□□□□□□","correct":false},{"content":"□□□□□□","correct":true},{"content":"□□□□□","correct":false},{"content":"□□□□"}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/62/ef/13b0b5afe5b2.json b/data/questions/62/ef/13b0b5afe5b2.json new file mode 100644 index 0000000000..f111fa78d6 --- /dev/null +++ b/data/questions/62/ef/13b0b5afe5b2.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{10}{7}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{10}{7}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is\n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=10/7x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,10]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/fc/5e484ecb3699.json b/data/questions/62/fc/5e484ecb3699.json new file 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/009bde8c529cd0f9c8fea990aac9937603b26526.png","width":400},"correct":{"coords":[[[0,6],[6,-6]],[[-6,-6],[0,6]],[[-6,-6],[6,-6]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/62/fc/981fbe31c062.json b/data/questions/62/fc/981fbe31c062.json new file mode 100644 index 0000000000..a28cbe0a3f --- /dev/null +++ b/data/questions/62/fc/981fbe31c062.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2\\sin\\left(\\dfrac{\\pi}{10}x\\right)-7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-7],[5,-5]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/04/f466f2b88324.json b/data/questions/63/04/f466f2b88324.json new file mode 100644 index 0000000000..36b757b140 --- /dev/null +++ b/data/questions/63/04/f466f2b88324.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin\\left(\\dfrac{\\pi}{2} x-\\pi\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[2,3],[3,8]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/15/f028d3ef314e.json b/data/questions/63/15/f028d3ef314e.json new file mode 100644 index 0000000000..516cf8968b --- /dev/null +++ b/data/questions/63/15/f028d3ef314e.json @@ -0,0 +1 @@ +{"content":"[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear","quadratic","sinusoid","tangent","absolute_value","logarithm","exponential"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"height":0,"url":null,"width":0},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/16/401857085f01.json b/data/questions/63/16/401857085f01.json new file mode 100644 index 0000000000..ec5cfd00e8 --- /dev/null +++ b/data/questions/63/16/401857085f01.json @@ -0,0 +1 @@ +{"content":"crwdns3399073:0$f$crwdnd3399073:0$a$crwdnd3399073:0$e$crwdnd3399073:0$f$crwdnd3399073:0$x$crwdnd3399073:0$a$crwdnd3399073:0$b$crwdnd3399073:0$c$crwdnd3399073:0$d$crwdnd3399073:0$e$crwdnd3399073:0$fcrwdnd3399073:0$120$crwdnd3399073:0$6$crwdnd3399073:0$24$crwdnd3399073:0$2$crwdnd3399073:0$1$crwdnd3399073:0$f$crwdnd3399073:0$f$crwdne3399073:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d2896239bfd9b195b0ce07265fa6e275543a64b3","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-1]],[[-5,0],[5,-4]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":true},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/63/2a/00357eb7ca9d.json b/data/questions/63/2a/00357eb7ca9d.json new file mode 100644 index 0000000000..78205130ec --- /dev/null +++ b/data/questions/63/2a/00357eb7ca9d.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$12$|$13$|$15$|$16$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/4462e70cdf743ecb175af81d2534a327c653d195.png","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/63/2f/040fe7de7b9a.json b/data/questions/63/2f/040fe7de7b9a.json new file mode 100644 index 0000000000..0c364a958e --- /dev/null +++ b/data/questions/63/2f/040fe7de7b9a.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $y=3(x-2.5)(2x+1)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the equation.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-13.5],[2.5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-15,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-13.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/31/5d932d3f6344.json b/data/questions/63/31/5d932d3f6344.json new file mode 100644 index 0000000000..9f43bfa967 --- /dev/null +++ b/data/questions/63/31/5d932d3f6344.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b23a1ea6cd492cacc5a6942afefcb1dc35e93ec5","width":400},"correct":{"coords":[[-6,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/33/870011703231.json b/data/questions/63/33/870011703231.json new file mode 100644 index 0000000000..6e7ebd8e1e --- /dev/null +++ b/data/questions/63/33/870011703231.json @@ -0,0 +1 @@ +{"content":"Stars produce elements through nuclear fusion. This process releases a tremendous amount of energy.\n\n[[☃ image 1]]\n\n**Which of the following best explains how the process of fusion works?**\n\n[[☃ radio 1]]\n\n[[☃ explanation 1]]","images":{"https://cdn.kastatic.org/ka-content-images/0b13f778b5c58873d190a769311327a48eb9915b.jpg":{"width":350,"height":252}},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[350,252],"backgroundImage":{"url":"https://cdn.kastatic.org/ka-content-images/0b13f778b5c58873d190a769311327a48eb9915b.jpg","width":350,"height":252},"labels":[],"alt":"A photograph of the Pleiades star cluster in the constellation of Taurus.","caption":"*The Pleiades cluster of stars*"},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"content":"Smaller nuclei such as hydrogen are combined into larger nuclei such as helium.","correct":true,"clue":"In nuclear fusion, smaller nuclei are combined to make larger nuclei."},{"correct":false,"content":"Larger nuclei such as carbon are split into smaller nuclei such as helium.","clue":"Dividing a large nucleus into smaller nuclei is the definition of nuclear *fission*, not nuclear fusion."},{"isNoneOfTheAbove":false,"correct":false,"content":"A proton captures a free electron and forms an atom of hydrogen.","clue":"This described a process called *recombination,* and is not an example of nuclear fusion."}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false},"explanation 1":{"options":{"static":false,"showPrompt":"Image credit","hidePrompt":"Hide image credit","explanation":"“[Pleiades](https://en.wikipedia.org/wiki/File:Pleiades_large.jpg)” by NASA, [NASA Public Domain](https://www.nasa.gov/multimedia/guidelines/index.html)","widgets":{}},"type":"explanation","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/63/45/99a134c7e1da.json b/data/questions/63/45/99a134c7e1da.json new file mode 100644 index 0000000000..979605ab13 --- /dev/null +++ b/data/questions/63/45/99a134c7e1da.json @@ -0,0 +1 @@ +{"content":"Andre is making cookies for his classmates. He has $60$ minutes before he has to leave for school. It takes $12$ minutes to bake each sheet of cookies. In the graph below, $c$ represents the number of sheets of cookies Andre bakes, and $m$ represents the number of minutes remaining until Andre has to leave for school.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$m = 60-12c$\n\n**Plot points on the graph that show the number of minutes remaining until Andre has to leave for school if he bakes $3$ sheets of cookies and $5$ sheets of cookies.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,24],[5,0]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["\\□□□□{□□□□□□ □□ □□□□□□□}","\\□□□□{□□□□□□□ □□□□□□□□□}"],"markings":"graph","range":[[-1,10],[-1,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/5b/feada9f019b8.json b/data/questions/63/5b/feada9f019b8.json new file mode 100644 index 0000000000..934aa5127d --- /dev/null +++ b/data/questions/63/5b/feada9f019b8.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=6x^2-18x+7$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[1.5,-6.5],[0,7]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-6.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/5f/7883ea3475ab.json b/data/questions/63/5f/7883ea3475ab.json new file mode 100644 index 0000000000..8d7e85b1f0 --- /dev/null +++ b/data/questions/63/5f/7883ea3475ab.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad5715c11d13cd92df0e9ba05cf362e2945b9684","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-2,0],[4,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/7d/114f5feb2b23.json b/data/questions/63/7d/114f5feb2b23.json new file mode 100644 index 0000000000..04e1e887d0 --- /dev/null +++ b/data/questions/63/7d/114f5feb2b23.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the final point after reflecting point $A$ across the $x$-axis and then across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/334b4f7715f9228f3c099cbd63fbe51648455e4e","width":400},"correct":{"coords":[[9,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/82/65d164811e86.json b/data/questions/63/82/65d164811e86.json new file mode 100644 index 0000000000..ca694c4e39 --- /dev/null +++ b/data/questions/63/82/65d164811e86.json @@ -0,0 +1 @@ +{"content":"Asha lives at $2^{\\text{nd}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(2,11)$ on the map below. She and her sister decide to walk to the ice cream shop at $5^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(5, 4)$ on the map. They head down $2^{\\text{nd}}$ Avenue then over on $4^{\\text{th}}$ Street. \n\n**Plot Asha's home and the ice cream shop on the map.** \n\n[[☃ interactive-graph 1]]\n\n**How many blocks do they walk to get to the ice cream shop?** \n[[☃ input-number 1]] blocks\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,11],[5,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/8f/b7b40e3d9ab8.json b/data/questions/63/8f/b7b40e3d9ab8.json new file mode 100644 index 0000000000..6521a4ed5a --- /dev/null +++ b/data/questions/63/8f/b7b40e3d9ab8.json @@ -0,0 +1 @@ +{"content":"crwdns6902072:0$fcrwdne6902072:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[3.5,2],[3,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3399a2166bf8f88b67cacda125ca07971602b0b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/90/ef61f82671fe.json b/data/questions/63/90/ef61f82671fe.json new file mode 100644 index 0000000000..09e4c69383 --- /dev/null +++ b/data/questions/63/90/ef61f82671fe.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-6(x+1.5)^2+5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-1.5,5],[0,-8.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-8.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/9a/e92b26d48c81.json b/data/questions/63/9a/e92b26d48c81.json new file mode 100644 index 0000000000..827bb796dd --- /dev/null +++ b/data/questions/63/9a/e92b26d48c81.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-2\\log_3(x+4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-4,-10],[-4,10]],"coords":[[5,-4],[-3,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/a8/0965b74f8289.json b/data/questions/63/a8/0965b74f8289.json new file mode 100644 index 0000000000..8fed4ec8c9 --- /dev/null +++ b/data/questions/63/a8/0965b74f8289.json @@ -0,0 +1 @@ +{"content":"crwdns3144341:0$MOST$crwdne3144341:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4f989290e7148fe9e3a2292cb06ce738d5b93d9c","width":425},"correct":{"coords":[[-1,3],[-1,8],[1,7],[1,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/ac/f06efd74cdae.json b/data/questions/63/ac/f06efd74cdae.json new file mode 100644 index 0000000000..47dc3d5318 --- /dev/null +++ b/data/questions/63/ac/f06efd74cdae.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $9$, $12$, and $15$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15.32960747877035,4.857843140337501],[3.3923968271104084,13.940959447965426],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/b0/1fb9d61ceea3.json b/data/questions/63/b0/1fb9d61ceea3.json new file mode 100644 index 0000000000..496392118c --- /dev/null +++ b/data/questions/63/b0/1fb9d61ceea3.json @@ -0,0 +1 @@ +{"content":"crwdns6902046:0$ycrwdnd6902046:0{12}crwdne6902046:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,6],[0,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/b2/3f9ab7091a3e.json b/data/questions/63/b2/3f9ab7091a3e.json new file mode 100644 index 0000000000..50973c1692 --- /dev/null +++ b/data/questions/63/b2/3f9ab7091a3e.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $7$ units to the left and $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a7442066abbbc09098d0ee28cb0442586dfd648","width":425},"correct":{"coords":[[-2,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/b4/0ddc3908805e.json b/data/questions/63/b4/0ddc3908805e.json new file mode 100644 index 0000000000..93cfbc770b --- /dev/null +++ b/data/questions/63/b4/0ddc3908805e.json @@ -0,0 +1 @@ +{"content":"crwdns2988142:0crwdne2988142:0","images":{"https://ka-perseus-images.s3.amazonaws.com/6995f140756ad6a6bd1095124acebb894678dce5.png":{"height":395,"width":370}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-1.3982678768416987,-1.0700288111122171],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/b9/89da3da8caf0.json b/data/questions/63/b9/89da3da8caf0.json new file mode 100644 index 0000000000..49a586c68b --- /dev/null +++ b/data/questions/63/b9/89da3da8caf0.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $CORN$ is reflected over the line $y=4x-1$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 7]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/64a1fc4318ce6d32779ca555616f1f8be00bfae0","width":425},"correct":{"coords":[[7,-4],[3,7],[7,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/372593c3d5d80add927a46faf6dde84144f0b4f1","width":425},"correct":{"coords":[[-5,2],[-3,-4],[-8,-7],[1,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea484ceafccc9b239ef9dda71abf7ece1d4ffb92","width":425},"correct":{"coords":[[-2,-7],[5,-5],[3,2],[3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 7":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c4c060003d1e805c2ed442eaf9c7dbe3da8f78e","width":425},"correct":{"coords":[[-9,-3],[-5,-4],[9,1],[-4,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/d1/642dbf36d686.json b/data/questions/63/d1/642dbf36d686.json new file mode 100644 index 0000000000..b23094384f --- /dev/null +++ b/data/questions/63/d1/642dbf36d686.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2\\cos\\left(\\dfrac{1}{2}x\\right)-1$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[2,-1],[0,1]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/df/dd144067b98d.json b/data/questions/63/df/dd144067b98d.json new file mode 100644 index 0000000000..068731ffa2 --- /dev/null +++ b/data/questions/63/df/dd144067b98d.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units left and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c3e590ad15ee46b2fe95486be103cab09152da72","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[1,-7],[-3,1],[-7,-1]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/ef/253ea4521530.json b/data/questions/63/ef/253ea4521530.json new file mode 100644 index 0000000000..3ca2fcf289 --- /dev/null +++ b/data/questions/63/ef/253ea4521530.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(7,2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7,2]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/63/f4/1bc73e4c9f0c.json b/data/questions/63/f4/1bc73e4c9f0c.json new file mode 100644 index 0000000000..2f766cf601 --- /dev/null +++ b/data/questions/63/f4/1bc73e4c9f0c.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=2^{x^2}$ and let $g(x)=-x+3$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $2^{x^2}=-x+3$, where $x_1x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-3,0],[-4,1]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/83db5cf9dccade88c2520a9edb976c76efce5013","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,0.5],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.25],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-1.327},{"maxError":0.5,"message":"We're asked to find the greater of the two solutions. This approximates the lesser solution. ","simplify":"required","status":"wrong","strict":false,"value":-5.2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/16/57ed000ae1b5.json b/data/questions/65/16/57ed000ae1b5.json new file mode 100644 index 0000000000..7e6ad31ad9 --- /dev/null +++ b/data/questions/65/16/57ed000ae1b5.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1aa858afa68530210704235a0134a165b4b66d43","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon"},"correct":{"type":"polygon","coords":[[-6,-7],[1,-4],[-3,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/17/593c7da0d47f.json b/data/questions/65/17/593c7da0d47f.json new file mode 100644 index 0000000000..40d1e819a0 --- /dev/null +++ b/data/questions/65/17/593c7da0d47f.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-3(x-1)^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,1],[0,-2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/1d/930bb91437e2.json b/data/questions/65/1d/930bb91437e2.json new file mode 100644 index 0000000000..f10a2dea9b --- /dev/null +++ b/data/questions/65/1d/930bb91437e2.json @@ -0,0 +1 @@ +{"content":"Callan goes for a hike every Saturday. Callan hikes at a rate of $3$ miles per hour.\n\n**Complete the table for the given ratio.** \n \nHours, $x$ | Miles, $y$ \n:-: | :-: \n$1$ | $3$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[3,9],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,7],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,3]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/20/27c357c79111.json b/data/questions/65/20/27c357c79111.json new file mode 100644 index 0000000000..3d5ff214e4 --- /dev/null +++ b/data/questions/65/20/27c357c79111.json @@ -0,0 +1 @@ +{"content":"Plot this graph at: [-9,9],[-4,1],[9,-2] \n\n [[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"markings":"graph","labels":["t","d"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"quadratic"},"correct":{"coords":[[-9,9],[-4,1],[9,-2]],"type":"quadratic"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/24/88d4821b6d73.json b/data/questions/65/24/88d4821b6d73.json new file mode 100644 index 0000000000..65b92285c4 --- /dev/null +++ b/data/questions/65/24/88d4821b6d73.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(6,-5)$ and has a slope of $-\\dfrac{2}{3}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,-3],[6,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/48/46635dcef081.json b/data/questions/65/48/46635dcef081.json new file mode 100644 index 0000000000..89547fa279 --- /dev/null +++ b/data/questions/65/48/46635dcef081.json @@ -0,0 +1 @@ +{"content":"The graph of the function $g(x)=-|x|$ is shown on the grid below.\n\n**Graph the function $h(x)=-|x+2|+3$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":null,"coords":[[-2,3],[-1,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/afe07e9646262eac3c611186b7314c8bf65af027","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/49/55e7cdcecc10.json b/data/questions/65/49/55e7cdcecc10.json new file mode 100644 index 0000000000..3d8a9cea44 --- /dev/null +++ b/data/questions/65/49/55e7cdcecc10.json @@ -0,0 +1 @@ +{"content":"Line segments $\\overline{FI}$ and $\\overline{LE}$ are reflected over the line $y=3x$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec9db377c855be17a2841116d069c94ee6277951","width":425},"correct":{"coords":[[[-8,5],[8,-2]],[[-7,-1],[-3,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91b9cdea9392fcb822d0365456409475e579472a","width":425},"correct":{"coords":[[[-9,0],[5,5]],[[-7,-1],[-7,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dbac9c0d80eb620ac380f038eed02de1b3295976","width":425},"correct":{"coords":[[[-4,-7],[-4,-9]],[[-6,-4],[3,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ff32e4b8055948ab048578d8b2ffc66e6054acb6","width":425},"correct":{"coords":[[[-3,8],[-9,-5]],[[-4,0],[-3,-7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/75e2976b97bc615fbd677ff1cf85c00366faa41f","width":425},"correct":{"coords":[[[2,-4],[-5,5]],[[-8,-4],[-6,2]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/5b/b73d4a1e73f8.json b/data/questions/65/5b/b73d4a1e73f8.json new file mode 100644 index 0000000000..e264298f47 --- /dev/null +++ b/data/questions/65/5b/b73d4a1e73f8.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle EMU$ after reflection across the line $x = 2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/81f27c4238829d63610837dc8fad2fbdf84ea778.png","width":425},"correct":{"coords":[[2,1],[-3,2],[-5,-7]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/65/82/b13056101fd5.json b/data/questions/65/82/b13056101fd5.json new file mode 100644 index 0000000000..ea5afedec9 --- /dev/null +++ b/data/questions/65/82/b13056101fd5.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x+2)(2x-3)(x-3)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-2,0],[1.5,0],[3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/83/5b0c87272cfb.json b/data/questions/65/83/5b0c87272cfb.json new file mode 100644 index 0000000000..9a06553c1e --- /dev/null +++ b/data/questions/65/83/5b0c87272cfb.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(0,-4)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(0,-4)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-4]],"type":"point"},"graph":{"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□□□□□□□ ","correct":false},{"content":"□□□□□□ □□□□□□□□ ","correct":false},{"content":"□□□□□ □□□□□□□□","correct":false},{"content":"□□□□□□ 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1":{"alignment":"block","graded":true,"options":{"location":"","static":false},"static":false,"type":"video","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/f0/47d752aa6c97.json b/data/questions/65/f0/47d752aa6c97.json new file mode 100644 index 0000000000..489a719523 --- /dev/null +++ b/data/questions/65/f0/47d752aa6c97.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a triangle with vertices at the following points.** \n\n$(-5, 0), (-5, 9), (0, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,0],[-5,9],[0,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/65/f5/650c1011a71f.json b/data/questions/65/f5/650c1011a71f.json new file mode 100644 index 0000000000..b73ecbb8ce --- /dev/null +++ b/data/questions/65/f5/650c1011a71f.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ को चतुर्भुज $A'B'C'D'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebfe60eb69251f2e94646716bfae9426f843287b","width":425},"correct":{"coords":[[2,1],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/05/208d52764e5b.json b/data/questions/66/05/208d52764e5b.json new file mode 100644 index 0000000000..8c3b0c237c --- /dev/null +++ b/data/questions/66/05/208d52764e5b.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(4,4)$ and has a radius of $3$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[4,4],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/09/a180b670ada4.json b/data/questions/66/09/a180b670ada4.json new file mode 100644 index 0000000000..b18f3a3b56 --- /dev/null +++ b/data/questions/66/09/a180b670ada4.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$12$|$13$|$15$|$16$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/204472f9a09c3dd0c096062d6309745d6e9e4362","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/66/0c/8d50b6f25155.json b/data/questions/66/0c/8d50b6f25155.json new file mode 100644 index 0000000000..221a5e0a90 --- /dev/null +++ b/data/questions/66/0c/8d50b6f25155.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=4\\sin(0.5x+\\pi)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-4,-3],[-2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/11/1ffd8af0fc9e.json b/data/questions/66/11/1ffd8af0fc9e.json new file mode 100644 index 0000000000..72366e9947 --- /dev/null +++ b/data/questions/66/11/1ffd8af0fc9e.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 6+6i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/12/4e98a060f4f8.json b/data/questions/66/12/4e98a060f4f8.json new file mode 100644 index 0000000000..d70e41b11a --- /dev/null +++ b/data/questions/66/12/4e98a060f4f8.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{x^2}{25}-\\dfrac{y^2}{144}=1$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/692a454abfe00fd439f8d9e0f86d09809fa7766d","width":425},"correct":{"coords":[[13,0],[-13,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/16/100cdd851535.json b/data/questions/66/16/100cdd851535.json new file mode 100644 index 0000000000..2b7e39579e --- /dev/null +++ b/data/questions/66/16/100cdd851535.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=-5x^2-20x-15$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-2,5],[-1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-3}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/1c/393ade3c7677.json b/data/questions/66/1c/393ade3c7677.json new file mode 100644 index 0000000000..3bf522888b --- /dev/null +++ b/data/questions/66/1c/393ade3c7677.json @@ -0,0 +1 @@ +{"content":"Move one endpoint of this line segment as far up and to the right as it will go, and the other as far down and to the left as it will go.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-9,-9],[9,9]]],"hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/1f/44c04865ad01.json b/data/questions/66/1f/44c04865ad01.json new file mode 100644 index 0000000000..8aa19dd4fc --- /dev/null +++ b/data/questions/66/1f/44c04865ad01.json @@ -0,0 +1 @@ +{"content":"**Graph $6x-5y=30$ .**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/22/d48d655b9424.json b/data/questions/66/22/d48d655b9424.json new file mode 100644 index 0000000000..9abb88f235 --- /dev/null +++ b/data/questions/66/22/d48d655b9424.json @@ -0,0 +1 @@ +{"content":"crwdns3077939:0{ km}crwdnd3077939:0{ km}crwdne3077939:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/45468f3b7b080112c33b84bbc60fd50238d4dfbc.png","width":400},"correct":{"coords":[[5,-2],[5,7],[-7,7],[-7,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/35/9b4a09dabbdb.json b/data/questions/66/35/9b4a09dabbdb.json new file mode 100644 index 0000000000..6083fd4bd0 --- /dev/null +++ b/data/questions/66/35/9b4a09dabbdb.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ce6e17bb98b84e3d159b78908154fd56120914a6","width":425},"correct":{"coords":[[7,-4],[-7,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/77/d60bceebec5d.json b/data/questions/66/77/d60bceebec5d.json new file mode 100644 index 0000000000..36c941fb2c --- /dev/null +++ b/data/questions/66/77/d60bceebec5d.json @@ -0,0 +1 @@ +{"content":"Cole lives at $1^{\\text{st}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(1,11)$ on the map below. He decides to meet his best friend at the movie theater at $6^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(6, 4)$ on the map. He will walk down $1^{\\text{st}}$ Avenue then over on $4^{\\text{th}}$ Street.\n\n**Plot Cole's house and the movie theater on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How many blocks does Cole walk to get to the theater?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":12},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,11],[6,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/7a/b1ddfd40448f.json b/data/questions/66/7a/b1ddfd40448f.json new file mode 100644 index 0000000000..2ef0235e62 --- /dev/null +++ b/data/questions/66/7a/b1ddfd40448f.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-3(x-1)^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,1],[0,-2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/7b/d85f4be894ec.json b/data/questions/66/7b/d85f4be894ec.json new file mode 100644 index 0000000000..0a3f158b3a --- /dev/null +++ b/data/questions/66/7b/d85f4be894ec.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $3$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $6$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,6],[6,12],[9,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/83/cb47249acbb5.json b/data/questions/66/83/cb47249acbb5.json new file mode 100644 index 0000000000..ab29b72866 --- /dev/null +++ b/data/questions/66/83/cb47249acbb5.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/41ee82653175d0a7cd8512587919d90184f83e69","width":425},"correct":{"coords":[[-4,-6],[-4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/8a/62b8803685fc.json b/data/questions/66/8a/62b8803685fc.json new file mode 100644 index 0000000000..4d9eeaf582 --- /dev/null +++ b/data/questions/66/8a/62b8803685fc.json @@ -0,0 +1 @@ +{"content":"**Graph $y=3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-6,3],[4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/92/437f11997477.json b/data/questions/66/92/437f11997477.json new file mode 100644 index 0000000000..3eea72a7ec --- /dev/null +++ b/data/questions/66/92/437f11997477.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ABC}$ is rotated $90^\\circ$ about the point $(2,2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/99/071c4e6c5a9e.json b/data/questions/66/99/071c4e6c5a9e.json new file mode 100644 index 0000000000..0c572e12e7 --- /dev/null +++ b/data/questions/66/99/071c4e6c5a9e.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$4$|$8$|$16$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3140d713657fd4a6d5c3a8331da11fec17952717","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":true,"content":"$f$ is invertible"},{"correct":false,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/66/a6/f5cd0a91cfb6.json b/data/questions/66/a6/f5cd0a91cfb6.json new file mode 100644 index 0000000000..126ce82f90 --- /dev/null +++ b/data/questions/66/a6/f5cd0a91cfb6.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the dashed, green line segment shown below. \n\n**Drag the endpoints of the solid segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c2e06d1287d7631948c8f8e3d0d0279a2be3c371","width":425},"correct":{"coords":[[[-6,7],[-1,-2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/a7/cf84bb318fa3.json b/data/questions/66/a7/cf84bb318fa3.json new file mode 100644 index 0000000000..e16e19d3fc --- /dev/null +++ b/data/questions/66/a7/cf84bb318fa3.json @@ -0,0 +1 @@ +{"content":"crwdns3462880:0$ycrwdne3462880:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,4],[-4,2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/ad/4606ba2e891c.json b/data/questions/66/ad/4606ba2e891c.json new file mode 100644 index 0000000000..37ec708cda --- /dev/null +++ b/data/questions/66/ad/4606ba2e891c.json @@ -0,0 +1 @@ +{"content":"**Graph $-27x+18y=54$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[-2,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/b1/9e96459fc069.json b/data/questions/66/b1/9e96459fc069.json new file mode 100644 index 0000000000..14d5ea8646 --- /dev/null +++ b/data/questions/66/b1/9e96459fc069.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n\n=====\n\nThe lines $f$ and $g$ are graphed at left in the $xy$-plane. Line $g$ can be written as the equation $y = ax + b$, where $a$ and $b$ are constants. Which of the following equations represents line $f$?\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc":{"height":425,"width":425},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c1587151dba95c3c8ca0d79b4857ae7856a8a4fc":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"graded":true,"options":{"alt":"This graph contains two lines, f and g, in the 'xy'-plane. f goes through the points negative 1 comma 5 and 9 comma negative 2. g goes through the points negative 1 comma negative 5 and 9 comma 2. The two lines cross on the x axis between 6 and 7.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"title":""},"type":"image","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"This equation represents a line with the same slope as the original.","content":"$y = ax - b$","correct":false},{"clue":"This equation represents a line with the same $y$-intercept as the original.","content":"$y = -ax + b$","correct":false},{"content":"$-y = ax + b$","correct":true},{"clue":"This equation represents a line that has slope $\\dfrac 1a$ . This has the same sign as $a$, but the two lines given have slopes that are opposite in sign.","content":"$x = ay + b$","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/66/b9/ce5e76075fb5.json b/data/questions/66/b9/ce5e76075fb5.json new file mode 100644 index 0000000000..1e50a330ec --- /dev/null +++ b/data/questions/66/b9/ce5e76075fb5.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=0.5\\cos\\left(\\dfrac{1}{3}x+\\dfrac{2\\pi}{3}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-1,-2],[-4,-1.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3399a2166bf8f88b67cacda125ca07971602b0b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/bd/f9a38edb5690.json b/data/questions/66/bd/f9a38edb5690.json new file mode 100644 index 0000000000..640987e91d --- /dev/null +++ b/data/questions/66/bd/f9a38edb5690.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=3x-8\n\\\\\\\\\n& y=2x-3\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,-8],[1,-5]],[[1,-1],[0,-3]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/66/c7/b08fd480f63f.json b/data/questions/66/c7/b08fd480f63f.json new file mode 100644 index 0000000000..9ed80b9a40 --- /dev/null +++ b/data/questions/66/c7/b08fd480f63f.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=0$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ae5fc7f4a1b02add71f7b0ee534e4127dcb61c4","width":400},"correct":{"coords":[[5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/02/74a671ef99c7.json b/data/questions/67/02/74a671ef99c7.json new file mode 100644 index 0000000000..213ae5aac4 --- /dev/null +++ b/data/questions/67/02/74a671ef99c7.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f1ca0139d296783f651668ce4fd27da0f50a6cf2","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-1,3],[3,3],[-6,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/10/dcb39ae9372f.json b/data/questions/67/10/dcb39ae9372f.json new file mode 100644 index 0000000000..8de7d1363c --- /dev/null +++ b/data/questions/67/10/dcb39ae9372f.json @@ -0,0 +1 @@ +{"content":"crwdns3457594:0$(x-3)crwdne3457594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/15/a9f1ee700496.json b/data/questions/67/15/a9f1ee700496.json new file mode 100644 index 0000000000..027188f87d --- /dev/null +++ b/data/questions/67/15/a9f1ee700496.json @@ -0,0 +1 @@ +{"content":"[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[5,1],"backgroundImage":{"url":null},"markings":"grid","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-20,20],[-10,10]],"gridStep":[5,1],"snapStep":[2.5,0.5],"lockedFigures":[],"fullGraphAriaLabel":"Unlimited Point Graph #2","graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-5,0],[5,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/26/456a38bb2b28.json b/data/questions/67/26/456a38bb2b28.json new file mode 100644 index 0000000000..438e93b082 --- /dev/null +++ b/data/questions/67/26/456a38bb2b28.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 1-8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,-8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/45/d53ae707e099.json b/data/questions/67/45/d53ae707e099.json new file mode 100644 index 0000000000..ae72aaffc6 --- /dev/null +++ b/data/questions/67/45/d53ae707e099.json @@ -0,0 +1 @@ +{"content":"**This graph's answer type is \"none\" so it should not affect grading.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"none"},"graph":{"type":"none"},"labels":["x","y"],"lockedFigures":[{"color":"purple","kind":"line","lineStyle":"dashed","points":[{"color":"purple","coord":[0,0],"filled":true,"labels":[],"type":"point"},{"color":"purple","coord":[2,2],"filled":true,"labels":[],"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/46/233d8e9c7a1b.json b/data/questions/67/46/233d8e9c7a1b.json new file mode 100644 index 0000000000..2ca285f0e0 --- /dev/null +++ b/data/questions/67/46/233d8e9c7a1b.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the triangle by connecting two black points.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/46be7128c3d241e2f393a4d9c8e50744d0fbbf31.png","width":400},"correct":{"coords":[[-1,-1],[5,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/4e/697105c20dab.json b/data/questions/67/4e/697105c20dab.json new file mode 100644 index 0000000000..717ce934f1 --- /dev/null +++ b/data/questions/67/4e/697105c20dab.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $5$ units in $t$ corresponds to an increase of $8$ units in $d$. \n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.6"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[5,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/4f/ea044a99a477.json b/data/questions/67/4f/ea044a99a477.json new file mode 100644 index 0000000000..37cc0b136e --- /dev/null +++ b/data/questions/67/4f/ea044a99a477.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{3}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fa46ca1527f385279c1d927cd94cd014ec77d070","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[3,-5],[0,-2],[-1,-4]],"showAngles":false,"snapTo":"grid","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/5b/bf696718701d.json b/data/questions/67/5b/bf696718701d.json new file mode 100644 index 0000000000..5a67641747 --- /dev/null +++ b/data/questions/67/5b/bf696718701d.json @@ -0,0 +1 @@ +{"content":"crwdns2972703:0$x$crwdne2972703:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7,-8],[-7,0],[-3,-8]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/65/ae3013ec90a4.json b/data/questions/67/65/ae3013ec90a4.json new file mode 100644 index 0000000000..d95860f539 --- /dev/null +++ b/data/questions/67/65/ae3013ec90a4.json @@ -0,0 +1 @@ +{"content":"**Graph a parabola whose vertex is at $(3,5)$ with $y$-intercept at $y=1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[3,5],[0,1]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/73/37193e0a02e4.json b/data/questions/67/73/37193e0a02e4.json new file mode 100644 index 0000000000..a83fe4f209 --- /dev/null +++ b/data/questions/67/73/37193e0a02e4.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 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Starting number: $2$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$4$ | $2$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[6,3],[8,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-2],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/9f/3eb1d04a53aa.json b/data/questions/67/9f/3eb1d04a53aa.json new file mode 100644 index 0000000000..4becf227f8 --- /dev/null +++ b/data/questions/67/9f/3eb1d04a53aa.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-2\\log_3(x+4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 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+{"content":"crwdns3890758:0{x}crwdnd3890758:0{array}crwdnd3890758:0{rr}crwdnd3890758:0{array}crwdnd3890758:0{v}crwdnd3890758:0{v}crwdnd3890758:0{array}crwdnd3890758:0{r}crwdnd3890758:0{array}crwdne3890758:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/a8/df2240de5831.json b/data/questions/67/a8/df2240de5831.json new file mode 100644 index 0000000000..5b9661e7e6 --- /dev/null +++ b/data/questions/67/a8/df2240de5831.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a reflection across line $m$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/943f9f2f82126cf9a07fbe21d7069a3363553e6e","width":400},"correct":{"coords":[[0,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/ac/8e541bb88115.json b/data/questions/67/ac/8e541bb88115.json new file mode 100644 index 0000000000..f56b5b6730 --- /dev/null +++ b/data/questions/67/ac/8e541bb88115.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-7,-6)$ and has a radius of $2$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-7,-6],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/ad/1e94df413b15.json b/data/questions/67/ad/1e94df413b15.json new file mode 100644 index 0000000000..3edc160e92 --- /dev/null +++ b/data/questions/67/ad/1e94df413b15.json @@ -0,0 +1 @@ +{"content":"Chandler is the marketing executive at PMO Advertising Agency. She has a marketing budget of $\\$2500$ to pay for television and newspaper advertising. Television advertising costs $\\$100$ per minute and newspaper ad space costs $\\$25$ per square centimeter of print.\n\n**Write an *inequality* that represents the number of minutes of television advertising $(T)$ and square centimeters of newspaper advertising $(N)$ Chandler can order without exceeding her marketing budget.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $T$ on the horizontal axis and $N$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Chandler orders $18$ minutes of television advertising $(T)$, which of the following numbers of square centimeters of newspaper advertising $(N)$ can she order without exceeding the marketing budget?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100T+25N<=2500"}],"buttonSets":["basic","basic relations","advanced 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0bb4a183e2c1692a7dce35914fc63c3d9b74fb15","width":425},"correct":{"coords":[[2,-3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/ae/5f7d5b19b776.json b/data/questions/67/ae/5f7d5b19b776.json new file mode 100644 index 0000000000..ff0823e618 --- /dev/null +++ b/data/questions/67/ae/5f7d5b19b776.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $4$\n\nPattern $y$: Starting number: $4$, Rule: add $2$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[12,6],[16,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/b7/a754c1d468e3.json b/data/questions/67/b7/a754c1d468e3.json new file mode 100644 index 0000000000..dcd67162b6 --- /dev/null +++ b/data/questions/67/b7/a754c1d468e3.json @@ -0,0 +1 @@ +{"content":"The $3$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n** Based only on these $3$ points, plot the $3$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/eb721c7f930abab072e25f0d829ef94aa4c1afa6.png","width":425},"correct":{"coords":[[0,1],[1,4],[2,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/bb/960cf22b326f.json b/data/questions/67/bb/960cf22b326f.json new file mode 100644 index 0000000000..ba2a52d965 --- /dev/null +++ b/data/questions/67/bb/960cf22b326f.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $5$ units in $t$ corresponds to an increase of $8$ units in $d$. \n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.6"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[5,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ťț","ďđ"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/c2/c57c94ce10ef.json b/data/questions/67/c2/c57c94ce10ef.json new file mode 100644 index 0000000000..7d2d090272 --- /dev/null +++ b/data/questions/67/c2/c57c94ce10ef.json @@ -0,0 +1 @@ +{"content":"Consider the following equations (named $R_1$, $R_2$, and $R_3$):\n\n$R_1$$~~~\\rightarrow~~~$$ x + y = 5\\\\$ \n$R_2$$~~~\\rightarrow~~~$$ x - y = 1\\\\$ \n$R_3\n~~~\\rightarrow~~~\n\\begin{align}\\underline{\\begin{align}R_1\\\\+2\\cdot R_2\\end{align}} \\\\\\\\\\\\\\\\ \\end{align}\n~~~\\rightarrow~~~\n~~~\\rightarrow~~~\n$\n\n$\n{\\begin{align} \\underline{\\begin{align} x+y=5 \\\\ 2(x-y)=2(1) \\end{align}} \\\\\\\\\\\\\\\\ \\end{align}}$\n\n**Graph $R_3$.**\n\n[[☃ interactive-graph 1]]\n\n**Do all three lines intersect at the same point?**\n\n[[☃ radio 1]]\n\n**Consider a new equation $(R_4)$ that we get by adding $R_2$ with $3$ times $R_3$. Will $R_1$, $R_2$, and $R_3$ intersect at a single point?**","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Ýéèśŝ","correct":true},{"content":"ŃŇóò","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/c6/4b477c8deeeb.json b/data/questions/67/c6/4b477c8deeeb.json new file mode 100644 index 0000000000..8f974ba11e --- /dev/null +++ b/data/questions/67/c6/4b477c8deeeb.json @@ -0,0 +1 @@ +{"content":"crwdns2972204:0crwdne2972204:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/6b675708f3831dd6c61a41dad5b0c56a89f9e7ef.png","width":400},"correct":{"coords":[[4,-2.5],[4,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/f5/86d30b4013c8.json b/data/questions/67/f5/86d30b4013c8.json new file mode 100644 index 0000000000..8fac2e8fec --- /dev/null +++ b/data/questions/67/f5/86d30b4013c8.json @@ -0,0 +1 @@ +{"content":"$\\triangle{PIN}$ is rotated $-270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6fe33fbdce2ff4a1e6ce82f6f5523339f7f518e5","width":425},"correct":{"coords":[[7,2],[7,7],[-3,2]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/67/fb/a1bc9bc21fe3.json b/data/questions/67/fb/a1bc9bc21fe3.json new file mode 100644 index 0000000000..309e3f990e --- /dev/null +++ b/data/questions/67/fb/a1bc9bc21fe3.json @@ -0,0 +1 @@ +{"content":"Karl filled up the tank of his truck with $400$ liters of fuel and set out to deliver a shipment of bananas to Alaska. The truck consumed $0.8$ liters of fuel for each kilometer driven.\n\n**Graph the relationship between the amount of fuel remaining in the truck's tank (in liters) and distance driven (in kilometers).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,400],[100,320]],"asymptote":null},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-50,600],[-40,440]],"labels":["",""],"step":[100,40],"gridStep":[50,40],"snapStep":[50,40],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/912a0e55ce2251cb5f0d6516a595820e7a79b66b","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/04/11af97390c7b.json b/data/questions/68/04/11af97390c7b.json new file mode 100644 index 0000000000..ca72ee7f73 --- /dev/null +++ b/data/questions/68/04/11af97390c7b.json @@ -0,0 +1 @@ +{"content":"crwdns4132424:0$P$crwdnd4132424:0$3$crwdne4132424:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/292e6fee8cab4f5eba2566d9c8c56dbf4ac0896b","width":400},"correct":{"coords":[[-7,-5],[5,-2],[-4,4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/0d/b5ef18e5407f.json b/data/questions/68/0d/b5ef18e5407f.json new file mode 100644 index 0000000000..81824ffec5 --- /dev/null +++ b/data/questions/68/0d/b5ef18e5407f.json @@ -0,0 +1 @@ +{"content":"\n[[☃ image 1]]\n\n**This passage is adapted from Martin Luther King, Jr.’s “Beyond Vietnam” speech. As the [[☃ definition 1]] escalated in 1967, King—America’s leading civil rights activist—delivered a speech about America’s involvement in the war.** \n\nAnd some of us who have already begun to break the silence of the night have found that the calling to speak is often a [[☃ definition 2]] of agony, but we must speak. We must speak with all the humility that is appropriate to our limited vision, but we must speak. And we must rejoice as well, for surely this is the first time in our nation's history that a significant number of its religious leaders have chosen to move beyond smooth patriotism to the high grounds of a firm _dissent_ based upon the [[☃ definition 3]] of conscience and the reading of history. Perhaps a new spirit is rising among us. \n\n\n[[☃ explanation 2]]\n\n**As used in the passage, *dissent* most nearly means \\_\\_\\_\\.**\n\n[[☃ radio 1]]\n\n[[☃ explanation 1]]\n\n","images":{},"widgets":{"definition 1":{"alignment":"default","graded":true,"options":{"definition":"The Vietnam War (1961–1975) was originally a war between North and South Vietnam, though allies of both nations quickly got involved. The U.S. entered the war in 1965 on behalf of South Vietnam.\n","static":false,"togglePrompt":"Vietnam War"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"definition 2":{"alignment":"default","graded":true,"options":{"definition":"vo·ca·tion (voh-KAY-shun): a job or career that someone feels strongly called to do\n","static":false,"togglePrompt":"vocation"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"definition 3":{"alignment":"default","graded":true,"options":{"definition":"man·dates (man-DATES): orders or commands\n","static":false,"togglePrompt":"mandates"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"explanation 1":{"alignment":"default","graded":true,"options":{"explanation":"Text source: Text is excerpted from “Beyond Vietnam: A Time to Break the Silence” (1963)by Martin Luther King, © Estate of Martin Luther King, Jr.\n\nPublic domain image provided by the Minnesota Historical Society ","hidePrompt":"Hide attribution","showPrompt":"Attribution","static":false,"widgets":{}},"static":false,"type":"explanation","version":{"major":0,"minor":0}},"explanation 2":{"alignment":"default","graded":true,"options":{"explanation":"Historical passages often include language that is unfamiliar, figurative, or formal. Try to use context clues to connect unfamiliar words with words that you *do* know.","hidePrompt":"Ok—got it!","showPrompt":"Reading tip!","static":false,"widgets":{}},"static":false,"type":"explanation","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"Martin Luther King, Jr. speaks against the Vietnam War in 1967","backgroundImage":{"height":876,"url":"https://cdn.kastatic.org/ka-content-images/54d4218cb7684f5fe28fedf6daae89b134b85513.png","width":1276},"box":[1276,876],"caption":"\nMartin Luther King, Jr. speaks against the Vietnam War in 1967","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"clue":"This isn’t the meaning of *dissent*. The speech focuses on the need to speak out against the Vietnam War. In this sentence, King praises religious leaders for being willing to express “a firm dissent.” If *dissent* meant “acceptance,” King would be praising leaders for supporting the war, which is the opposite of his meaning. \n","content":"acceptance\n","correct":false},{"clue":"**This is the best choice.** The speech focuses on the need to speak out against the Vietnam War. King praises religious leaders who have “moved beyond smooth patriotism” and are willing to express “a firm dissent.” That is, he is praising leaders who express strong opposition to the war. *Opposition* is the best synonym of *dissent* in the context of the speech. \n","content":"opposition\n","correct":true},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” *Scarcity* means “a lack of something.” It wouldn’t make sense for King to praise people who express “a firm lack of something.”\n","content":"scarcity\n","correct":false},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” It wouldn’t make sense for King to praise people who express “a firm gratitude” for the war because King is opposed to the war.\n","content":"gratitude","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/68/14/b9efb6af0902.json b/data/questions/68/14/b9efb6af0902.json new file mode 100644 index 0000000000..f776785e64 --- /dev/null +++ b/data/questions/68/14/b9efb6af0902.json @@ -0,0 +1 @@ +{"content":"Biologists introduced a population of bacteria to a test environment. The function $f$ models the population size (in thousands) as a function of time (in days) after introduction.\n\n**Plot the point on the graph of $f$ that corresponds to when there are no more bacteria in the population.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdfc620353de32ae7ea29f969ef097691d46e3a1","width":400},"correct":{"coords":[[4,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,1],"labels":["x","y"],"markings":"none","range":[[-1,5],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/15/9303e0e8f1ec.json b/data/questions/68/15/9303e0e8f1ec.json new file mode 100644 index 0000000000..58011ff8f7 --- /dev/null +++ b/data/questions/68/15/9303e0e8f1ec.json @@ -0,0 +1 @@ +{"content":"crwdns3153911:0crwdne3153911:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54306359ea6fba2e28c3ebbc14570bf60643ee5d":{"height":425,"width":440}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3153942:0crwdne3153942:0","correct":false},{"content":"crwdns3153938:0crwdne3153938:0","correct":true},{"content":"crwdns3153936:0crwdne3153936:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/16/6a5c7bf8d9ac.json b/data/questions/68/16/6a5c7bf8d9ac.json new file mode 100644 index 0000000000..44d66a6a05 --- /dev/null +++ b/data/questions/68/16/6a5c7bf8d9ac.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{3}{2}(x-4)^2+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,3],[2,9]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/19/1e6022c393fb.json b/data/questions/68/19/1e6022c393fb.json new file mode 100644 index 0000000000..ee0883e235 --- /dev/null +++ b/data/questions/68/19/1e6022c393fb.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.** \n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad890555ac526c555001d95c5f605f104f592753","width":425},"correct":{"coords":[[7,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/26/2cc33f24f692.json b/data/questions/68/26/2cc33f24f692.json new file mode 100644 index 0000000000..ba78b827f2 --- /dev/null +++ b/data/questions/68/26/2cc33f24f692.json @@ -0,0 +1 @@ +{"content":"Gian is allowed to spend $45$ minutes on the computer after dinner. He spends his entire $45$ minutes either watching videos or playing games.\n\n**Write an equation for the number of minutes Gian spends playing games, $y$, if he spends $x$ minutes watching videos.**\n\n[[☃ expression 1]]\n\n\nOn Monday, Gian spent $5$ minutes watching videos. On Tuesday, he spent $25$ minutes watching videos.\n\n\n**Place points on the graph to show Gian's activity for Monday and Tuesday.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=45-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[5,40],[25,20]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"graph","range":[[-1,46],[-1,46]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/26/8e3d7fdd7ad3.json b/data/questions/68/26/8e3d7fdd7ad3.json new file mode 100644 index 0000000000..bcad3ff4bd --- /dev/null +++ b/data/questions/68/26/8e3d7fdd7ad3.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x +8y -5=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[2,-4],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/45/8f6ad2558123.json b/data/questions/68/45/8f6ad2558123.json new file mode 100644 index 0000000000..1a321f0b73 --- /dev/null +++ b/data/questions/68/45/8f6ad2558123.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{5}x^2+2x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,1],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/52/79a58c74181b.json b/data/questions/68/52/79a58c74181b.json new file mode 100644 index 0000000000..9d13ef3a3d --- /dev/null +++ b/data/questions/68/52/79a58c74181b.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=-3|x+3|+5$ and let $g(x)=2^{x+4}+1$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $-3|x+3|+5=2^{x+4}+1$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"asymptote":[[-10,1],[10,1]],"coords":[[-3,3],[-4,2]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad509bded0be388a4ab827b719a43341e872ef46","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-2.567},{"maxError":0.5,"message":"□□'□□ □□□□□ □□ □□□□ □□□ □□□□□□□ □□ □□□ □□□ □□□□□□□□□. □□□□ □□□□□□□□□□□□ □□□ □□□□□□ □□□□□□□□. ","simplify":"required","status":"wrong","strict":false,"value":-4}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/57/61a47c426768.json b/data/questions/68/57/61a47c426768.json new file mode 100644 index 0000000000..080b38f552 --- /dev/null +++ b/data/questions/68/57/61a47c426768.json @@ -0,0 +1 @@ +{"content":"[Q1] Consider the following trigonometric function:\n\n$\\qquad f(x)=3\\cos(2x+6\\pi)+4$\n\n**Graph $f(x)$ in the interactive widget.**\n\nhint: the function has a midline of $y = 4$, a period of $\\pi$, a local maximum at $(0, 7)$, and a local minimum at $(\\dfrac\\pi 2, 1)$.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-5.5,4],[-6,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/73/2e341c9e9259.json b/data/questions/68/73/2e341c9e9259.json new file mode 100644 index 0000000000..d15b8caff7 --- /dev/null +++ b/data/questions/68/73/2e341c9e9259.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{SIM}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57ace3f006de3945ab51bd73928eb0195b7c297b","width":425},"correct":{"coords":[[1,5],[0,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9b7c68fb9350531c023460f4abdc395522536b5a","width":425},"correct":{"coords":[[-1,1],[0,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/77/846ec6f257a8.json b/data/questions/68/77/846ec6f257a8.json new file mode 100644 index 0000000000..c62c398bcb --- /dev/null +++ b/data/questions/68/77/846ec6f257a8.json @@ -0,0 +1 @@ +{"content":"**The pentagon shown in the graph is transformed by matrix $R$. Plot the resulting pentagon.** \n\n$R=\\left[\\begin{array} {ccc}\n1 & 0 \\\\\n0 & -1 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/897256d66752b56fa5b70212d8fdaaa6d528433e","width":425},"correct":{"coords":[[-4,-2],[-8,-1],[-8,1],[-4,2],[-2,0]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/78/7b40f2e55a8e.json b/data/questions/68/78/7b40f2e55a8e.json new file mode 100644 index 0000000000..3f114c45d6 --- /dev/null +++ b/data/questions/68/78/7b40f2e55a8e.json @@ -0,0 +1 @@ +{"content":"Every year, a meteorologist studying tropical storms predicts how many hurricanes will occur. The table below shows how many hurricanes were predicted and how many hurricanes actually occurred for the years $2000$ to $2005$.\n \n**Plot the data in a scatter plot to see the relationship between the predicted and actual hurricane counts.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Year**|$2000$|$2001$|$2002$|$2003$|$2004$|$2005$\n**Predicted** | $11$ | $13$ | $12$ | $17$ | $15$ | $17$\n**Actual** | $14$ | $15$ | $12$ | $16$ | $14$ |$27$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[11,14],[13,15],[12,12],[17,16],[15,14],[17,27]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["$\\text{Predicted}$","$\\text{Actual}$"],"markings":"graph","range":[[-4,30],[-4,30]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/82/975cda8dcb62.json b/data/questions/68/82/975cda8dcb62.json new file mode 100644 index 0000000000..e70bd7c431 --- /dev/null +++ b/data/questions/68/82/975cda8dcb62.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\ln(x-1)$ and let $g(x)=2^{x-3}-2$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\,\\ln(x-1)=2^{x-3}-2$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"asymptote":[[-10,-2],[10,-2]],"coords":[[4,0],[3,-1]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bfd5111473805a2b9c929913bf3271f73a771125","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":4.729},{"maxError":0.5,"message":"□□'□□ □□□□□ □□ □□□□ □□□ □□□□□□□ □□ □□□ □□□ □□□□□□□□□. □□□□ □□□□□□□□□□□□ □□□ □□□□□□ □□□□□□□□. ","simplify":"required","status":"wrong","strict":false,"value":1.2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/92/03b5b7b3f5c1.json b/data/questions/68/92/03b5b7b3f5c1.json new file mode 100644 index 0000000000..26ed158f76 --- /dev/null +++ b/data/questions/68/92/03b5b7b3f5c1.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9d3928efc7b9e760443b5a7482c5c2a1f1c91851","width":425},"correct":{"coords":[[3,6],[3,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/93/fe5382889d98.json b/data/questions/68/93/fe5382889d98.json new file mode 100644 index 0000000000..b0c254c75c --- /dev/null +++ b/data/questions/68/93/fe5382889d98.json @@ -0,0 +1 @@ +{"content":"The graph below contains triangle $\\triangle ABP$. \n \n**Draw the image of $\\triangle ABP$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{3}$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the side $\\overline{AB}$ and its image?** \n\n$\\overline{AB}$ is [[☃ input-number 1]] units long, and its image is [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":6},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/564e6eacca35b365c048c30d9909f4c839e3e8d9.png","width":425},"correct":{"coords":[[-2,6],[-2,9],[-4,6]],"numSides":3,"showAngles":false,"type":"polygon"},"graph":{"numSides":3,"showAngles":false,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/c8/cea7dd2f5faa.json b/data/questions/68/c8/cea7dd2f5faa.json new file mode 100644 index 0000000000..5aa11083af --- /dev/null +++ b/data/questions/68/c8/cea7dd2f5faa.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph below.**\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5b5c83a18b523547fa09656e7c16c992dff43df6","width":425},"correct":{"coords":[[-1,-3],[3,-3],[-6,-8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/c9/bf4399519c50.json b/data/questions/68/c9/bf4399519c50.json new file mode 100644 index 0000000000..f6579903f6 --- /dev/null +++ b/data/questions/68/c9/bf4399519c50.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about the origin $(0,0)$ with a scale factor of $2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/56d0722606fe9c0096e26fce3e1b4aff64154c8a","width":425},"correct":{"coords":[[-6,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/cd/50dbade590a4.json b/data/questions/68/cd/50dbade590a4.json new file mode 100644 index 0000000000..802552d593 --- /dev/null +++ b/data/questions/68/cd/50dbade590a4.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $15$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-1],[2,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/68/eb/01306a2a80d7.json b/data/questions/68/eb/01306a2a80d7.json new file mode 100644 index 0000000000..71aa7ebe72 --- /dev/null +++ b/data/questions/68/eb/01306a2a80d7.json @@ -0,0 +1 @@ +{"content":"A group of biology students are interested in the effect of pH on enzyme activity. They measure the activity of enzymes A and B at various pH values and plot their data, as shown in the graph below.\n\n[[☃ image 1]]\n\n**Based on the graph, what is the approximate optimal pH for enzyme B?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[400,325],"backgroundImage":{"url":"https://ka-perseus-images.s3.amazonaws.com/01d138e3cf9df665fddb2d4787590ffc2b8bc481.png","width":400,"height":325},"labels":[],"alt":"The x axis on the line graph is labeled pH and has labels at 2,4,6,8,10, 12, and 14. The y axis is labeled enzyme activity. There are no marks on the y axis. There are 2 colored lines on the graph, with a key labeled A blue line and B red line. Line A begins at pH 2 and the origin of the y axis, rises sharply and peaks at pH 6, then declines sharply and returns to the y axis origin at pH 10. Line B begins at pH 6 and the origin of the y axis, rises sharply and peaks at pH 10, then declines sharply and returns to the y axis at pH 14. The peaks of Line A and Line B are at the same enzyme activity level.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"content":"$6$","correct":false,"clue":"An enzyme's optimal pH is the pH at which the enzyme is most active. The graph shows that at pH $6$, enzyme B is essentially inactive. So, pH $6$ is *not* enzyme B's optimal pH."},{"content":"$8$","correct":false,"clue":"An enzyme's optimal pH is the pH at which the enzyme is most active. The graph shows that at pH $8$, enzyme B is less active than at other pH values. So, pH $8$ is *not* enzyme B's optimal pH."},{"content":"$10$","correct":true,"clue":"The graph shows that enzyme B is most active near pH $10$. So, the approximate optimal pH for enzyme B is $10$."},{"isNoneOfTheAbove":false,"content":"$12$","clue":"An enzyme's optimal pH is the pH at which the enzyme is most active. The graph shows that at pH $12$, enzyme B is less active than at other pH values. So, pH $12$ is *not* enzyme B’s optimal pH.","correct":false}],"displayCount":null,"randomize":false,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/68/f3/9f491e599296.json b/data/questions/68/f3/9f491e599296.json new file mode 100644 index 0000000000..90611963c8 --- /dev/null +++ b/data/questions/68/f3/9f491e599296.json @@ -0,0 +1 @@ +{"content":"Stars produce elements through nuclear fusion. This process releases a tremendous amount of energy.\n\n[[☃ image 1]]\n\n**Which of the following best explains how the process of fusion works?**\n\n[[☃ radio 1]]\n\n[[☃ explanation 1]]","images":{},"widgets":{"explanation 1":{"alignment":"default","graded":true,"options":{"explanation":"“[Pleiades](https://en.wikipedia.org/wiki/File:Pleiades_large.jpg)” by NASA, [NASA Public Domain](https://www.nasa.gov/multimedia/guidelines/index.html)","hidePrompt":"Hide image credit","showPrompt":"Image credit","static":false,"widgets":{}},"static":false,"type":"explanation","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A photograph of the Pleiades star cluster in the constellation of Taurus.","backgroundImage":{"height":252,"url":"https://cdn.kastatic.org/ka-content-images/0b13f778b5c58873d190a769311327a48eb9915b.jpg","width":350},"box":[350,252],"caption":"*The Pleiades cluster of stars*","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"clue":"In nuclear fusion, smaller nuclei are combined to make larger nuclei.","content":"Smaller nuclei such as hydrogen are combined into larger nuclei such as helium.","correct":true},{"clue":"Dividing a large nucleus into smaller nuclei is the definition of nuclear *fission*, not nuclear fusion.","content":"Larger nuclei such as carbon are split into smaller nuclei such as helium.","correct":false},{"clue":"This described a process called *recombination,* and is not an example of nuclear fusion.","content":"A proton captures a free electron and forms an atom of hydrogen.","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/69/03/5d055094e265.json b/data/questions/69/03/5d055094e265.json new file mode 100644 index 0000000000..8dea4912b2 --- /dev/null +++ b/data/questions/69/03/5d055094e265.json @@ -0,0 +1 @@ +{"content":"**Construct a $45^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-5.74176744014726,-3.258232559852739],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/18/fdb447e9195b.json b/data/questions/69/18/fdb447e9195b.json new file mode 100644 index 0000000000..04ccd005c2 --- /dev/null +++ b/data/questions/69/18/fdb447e9195b.json @@ -0,0 +1 @@ +{"content":"crwdns3169516:0$6$crwdnd3169516:0$7.5$crwdnd3169516:0$0.5$crwdnd3169516:0$3$crwdnd3169516:0$4$crwdnd3169516:0$9.5$crwdnd3169516:0$6$crwdnd3169516:0$7$crwdnd3169516:0$7$crwdnd3169516:0$7$crwdnd3169516:0$5$crwdnd3169516:0$6$crwdne3169516:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6,6],[7.5,7],[0.5,7],[3,7],[4,5],[9.5,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3295063:0{Sick days}crwdne3295063:0","crwdns3295062:0{T-shirts}crwdne3295062:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/19/c1d6bfeff4d3.json b/data/questions/69/19/c1d6bfeff4d3.json new file mode 100644 index 0000000000..ec0d303573 --- /dev/null +++ b/data/questions/69/19/c1d6bfeff4d3.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-2(x-1)^2-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-4],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/1e/fc5bf1e59ffb.json b/data/questions/69/1e/fc5bf1e59ffb.json new file mode 100644 index 0000000000..2a08a99e0d --- /dev/null +++ b/data/questions/69/1e/fc5bf1e59ffb.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd58950fe8fbd8112b974a3c7a9c027cb131fc5e","width":425},"correct":{"coords":[[6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/24/f3affaa9268d.json b/data/questions/69/24/f3affaa9268d.json new file mode 100644 index 0000000000..46603d5667 --- /dev/null +++ b/data/questions/69/24/f3affaa9268d.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-4|-5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[4,-5],[0,-1]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/25/057f69621930.json b/data/questions/69/25/057f69621930.json new file mode 100644 index 0000000000..644964d855 --- /dev/null +++ b/data/questions/69/25/057f69621930.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +2x +4y -44=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-1,-2],"radius":7}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/43/a4c22a53ae01.json b/data/questions/69/43/a4c22a53ae01.json new file mode 100644 index 0000000000..f42a91842a --- /dev/null +++ b/data/questions/69/43/a4c22a53ae01.json @@ -0,0 +1 @@ +{"content":"crwdns3295078:0$5$crwdnd3295078:0$1$crwdnd3295078:0$2$crwdnd3295078:0$3$crwdnd3295078:0$5$crwdnd3295078:0$8$crwdnd3295078:0$13$crwdnd3295078:0$11$crwdnd3295078:0$10$crwdnd3295078:0$9$crwdnd3295078:0$8$crwdne3295078:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,13],[2,11],[3,10],[5,9],[8,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3276175:0{Age}crwdne3276175:0","crwdns3295058:0{Sleep}crwdne3295058:0"],"markings":"graph","range":[[-1,11],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/4c/da514856e880.json b/data/questions/69/4c/da514856e880.json new file mode 100644 index 0000000000..b38d1e4377 --- /dev/null +++ b/data/questions/69/4c/da514856e880.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units to the right and $4$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0edeb7c2c589581214eb32d2c0c167277eae252b","width":425},"correct":{"coords":[[5,-7],[6,-2],[3,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/5a/d2baeb0c6c62.json b/data/questions/69/5a/d2baeb0c6c62.json new file mode 100644 index 0000000000..5e85701cff --- /dev/null +++ b/data/questions/69/5a/d2baeb0c6c62.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}0 & 5 \\\\ -5 & 5\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}5 \\\\ 2\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e273fe0d304ea666acffdbfbbc2ff239f64d528","width":425},"correct":{"coords":[[[0,0],[10,-15]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/5a/d497848b79c7.json b/data/questions/69/5a/d497848b79c7.json new file mode 100644 index 0000000000..f1574c00f8 --- /dev/null +++ b/data/questions/69/5a/d497848b79c7.json @@ -0,0 +1 @@ +{"content":"Last month, Emma was the top scorer in her local underwater basket-weaving tournament; she made $2$ baskets every $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents baskets completed.\n\n**Plot points to show how many baskets Emma created after $2$, $4$, and $8$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[4,2],[8,4],[2,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/62/64a2366cb1d0.json b/data/questions/69/62/64a2366cb1d0.json new file mode 100644 index 0000000000..2d9a66d260 --- /dev/null +++ b/data/questions/69/62/64a2366cb1d0.json @@ -0,0 +1 @@ +{"content":"राहुल को घर पर रंग करवाना है यह कार्य तीन दिन लेता है, वह पेंटर को प्रत्येक दिन घंटो के हिसाब से समान दर देता है नीचे चार्ट में नौकरी की लागत दी गई हैI \n\n |दिन $1$|दिन $2$|दिन $3$\n-:|-:|-:|-:\nकाम किए गए घंटे|$5$|$4$|$6$\nमूल्य दिया गया |$\\$300$|$\\$240$|$\\$360$\n\n**पेंटर की समय के संबंध में डॉलर की परिवर्तन की *इकाई दर* क्या है; जैसा कि, पेंटर को *एक* घंटा काम करने पर कितना दिया गया?** \n\nपरिवर्तन की इकाई दर [[☃ input-number 1]] प्रति घंटा\n\n**आलेख ऊपर आनुपातिक संबंध का विवरण देता है, $x$-निर्देशांक काम किए हुए घंटे दर्शाता है ,और $y$-निर्देशांक डॉलर के भुगतान को दर्शाता हैI**\n\n[[☃ interactive-graph 1]]\n\n संबंधों का आलेख बनाओ\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":60},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"graph","range":[[-1,5],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,20]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/71/16f5866b8adf.json b/data/questions/69/71/16f5866b8adf.json new file mode 100644 index 0000000000..655995f27a --- /dev/null +++ b/data/questions/69/71/16f5866b8adf.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n\n=====\n\nThe lines $f$ and $g$ are graphed at left in the $xy$-plane. Line $g$ can be written as the equation $y = ax + b$, where $a$ and $b$ are constants. Which of the following equations represents line $f$?\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c1587151dba95c3c8ca0d79b4857ae7856a8a4fc":{"width":425,"height":425},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc":{"width":425,"height":425}},"widgets":{"image 1":{"type":"image","graded":true,"options":{"title":"","range":[[0,10],[0,10]],"box":[425,425],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc","width":425,"height":425},"labels":[],"alt":"This graph contains two lines, f and g, in the 'xy'-plane. f goes through the points negative 1 comma 5 and 9 comma negative 2. g goes through the points negative 1 comma negative 5 and 9 comma 2. The two lines cross on the x axis between 6 and 7.","caption":""},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$y = ax - b$","correct":false,"clue":"This equation represents a line with the same slope as the original."},{"content":"$y = -ax + b$","correct":false,"clue":"This equation represents a line with the same $y$-intercept as the original."},{"content":"$-y = ax + b$","correct":true},{"content":"$x = ay + b$","correct":false,"clue":"This equation represents a line that has slope $\\dfrac 1a$ . This has the same sign as $a$, but the two lines given have slopes that are opposite in sign."}],"randomize":false,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":1,"minor":0}},"grapher 1":{"type":"grapher","graded":true,"options":{"correct":{"type":"linear","coords":null,"asymptote":null},"availableTypes":["linear"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"box":[340,340]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/7d/927c3780ef44.json b/data/questions/69/7d/927c3780ef44.json new file mode 100644 index 0000000000..00e5989493 --- /dev/null +++ b/data/questions/69/7d/927c3780ef44.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $TEAM$ is rotated $-180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd7758202a4c57c755f3a2af54bb2826939a745b","width":425},"correct":{"coords":[[2,-3],[-2,-4],[-3,2],[-6,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/7e/aacaffee948f.json b/data/questions/69/7e/aacaffee948f.json new file mode 100644 index 0000000000..ede6b8d86c --- /dev/null +++ b/data/questions/69/7e/aacaffee948f.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an acute angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]\n\nThis is an acute angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":false},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/807ea77cf7031c1b9a45694083f05b5e09b01946.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[2.2059851900220853,2.2059851900220853],[-2,-2],[-4.973144353700384,5.004289159600586]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/81/821330cd5d48.json b/data/questions/69/81/821330cd5d48.json new file mode 100644 index 0000000000..8ab5519d4f --- /dev/null +++ b/data/questions/69/81/821330cd5d48.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $3$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f13715756be7e317009f2c22196703e973384976","width":400},"correct":{"coords":[[6,-4],[-6,5],[-6,-4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/8d/92bd7d1fcdfa.json b/data/questions/69/8d/92bd7d1fcdfa.json new file mode 100644 index 0000000000..cffeada069 --- /dev/null +++ b/data/questions/69/8d/92bd7d1fcdfa.json @@ -0,0 +1 @@ +{"content":"**Construct a $130^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/02564832cdaa56aa507437df41dd13e1fefbe595.png":{"height":160,"width":398},"https://ka-perseus-images.s3.amazonaws.com/37521922ea42bbbf67622075e1ea51e095f37479.png":{"height":291,"width":401}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[6.662476544422285,-1.0599696426100849],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/9c/3147c16e0bca.json b/data/questions/69/9c/3147c16e0bca.json new file mode 100644 index 0000000000..e984fd758c --- /dev/null +++ b/data/questions/69/9c/3147c16e0bca.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2683edd01039f0f67af98115da7d56da87bef1cd","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-2,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/b1/0ff06fbfbc34.json b/data/questions/69/b1/0ff06fbfbc34.json new file mode 100644 index 0000000000..0c31e7dd66 --- /dev/null +++ b/data/questions/69/b1/0ff06fbfbc34.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3c7be8f22da433d6b6f5c601e6541d6b0bbde8b3","width":425},"correct":{"coords":[[7,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/b1/bfa6c781bc4a.json b/data/questions/69/b1/bfa6c781bc4a.json new file mode 100644 index 0000000000..0516be6814 --- /dev/null +++ b/data/questions/69/b1/bfa6c781bc4a.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube of side length $6$. \n\n![cube vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the cube.** \n\nAssume the slice is parallel to one of the faces of the cube.\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png":{"height":397,"width":304}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.5,1.5],[7.5,7.5],[1.5,7.5],[1.5,1.5]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"grid","range":[[0,10],[0,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/b8/7e6402a7db56.json b/data/questions/69/b8/7e6402a7db56.json new file mode 100644 index 0000000000..642f31e1c5 --- /dev/null +++ b/data/questions/69/b8/7e6402a7db56.json @@ -0,0 +1 @@ +{"content":"**The pentagon shown in the graph is transformed by matrix $R$. Plot the resulting pentagon.** \n\n$R=\\left[\\begin{array} {ccc}\n-0.75 & 0 \\\\\n0 & -0.75 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ae97ce6f39028d801dba7d48fbf62fd1a2de380d","width":425},"correct":{"coords":[[0,-3],[3,-6],[6,0],[6,3],[3,3]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/cf/48372d89d5b1.json b/data/questions/69/cf/48372d89d5b1.json new file mode 100644 index 0000000000..219a63dd22 --- /dev/null +++ b/data/questions/69/cf/48372d89d5b1.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $4$ units left and $6$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/95c1138121211bff98e6ec4184be37273f535d1a","width":425},"correct":{"coords":[[-5,-7],[1,-5],[-5,-3],[-4,-5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/d4/46e718effa04.json b/data/questions/69/d4/46e718effa04.json new file mode 100644 index 0000000000..6f18fae2d3 --- /dev/null +++ b/data/questions/69/d4/46e718effa04.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nMariah bought a membership to the pool. Consider the relationship between the number of days Mariah swims and the total cost.\n\n\n\n**Fill in the table with the missing values. The total price should include the price of the subscription.\n** \n\n\nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the days Mariah swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/5b3eda7037bca879d535b20d27a5c7d263ffcc9f.png":{"height":435,"width":434}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":439,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ece1090760799daa30bdcacc7806dc4d1e4e151","width":439},"correct":{"coords":[[10,30],[20,40]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/e3/8d33c1b5bb8b.json b/data/questions/69/e3/8d33c1b5bb8b.json new file mode 100644 index 0000000000..db8b6d4a0d --- /dev/null +++ b/data/questions/69/e3/8d33c1b5bb8b.json @@ -0,0 +1 @@ +{"content":"[Q2] Graph the system of equations:\n\n$\\begin{align}\ny &= \\dfrac{x}{2} \\\\\ny &= 3 - x\n\\end{align}$\n\n[[☃ interactive-graph 1]]\n\nThe lines intersect at the point ([[☃ numeric-input 1]] , [[☃ numeric-input 2]])","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[3,0]],[[0,0],[2,1]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"x coordinate of the intersection","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"y coordinate of the intersection","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/ef/e8abca6fff5c.json b/data/questions/69/ef/e8abca6fff5c.json new file mode 100644 index 0000000000..0e4f6e3697 --- /dev/null +++ b/data/questions/69/ef/e8abca6fff5c.json @@ -0,0 +1 @@ +{"content":"crwdns3458199:0crwdne3458199:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,-8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/f7/239c3551460c.json b/data/questions/69/f7/239c3551460c.json new file mode 100644 index 0000000000..589f3eca79 --- /dev/null +++ b/data/questions/69/f7/239c3551460c.json @@ -0,0 +1 @@ +{"content":"The answer is either $5$ or $6$.\n\n**What could it be???**\n\n[[☃ numeric-input 1]]\n\nGraph $y=x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear","absolute_value","exponential","sinusoid","quadratic","tangent"],"correct":{"coords":[[0,0],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"YOU ARE A GOD.","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"No. You are a stupid idiot.","simplify":"required","status":"wrong","strict":false,"value":6},{"maxError":null,"message":"WHAT IS WRONG WITH YOU","simplify":"required","status":"wrong","strict":false,"value":5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/69/ff/75e811af3386.json b/data/questions/69/ff/75e811af3386.json new file mode 100644 index 0000000000..2d9babf3de --- /dev/null +++ b/data/questions/69/ff/75e811af3386.json @@ -0,0 +1 @@ +{"content":"\n\n[[☃ passage 1]]\n\nCareer | Median annual salary*\n- | - | -\nAssistant pastry chef | $\\$39{,}419$\nPastry chef | $\\$50{,}978$\nExecutive pastry chef | $\\$60{,}480$\n\nSources: Salary.com's January 2014 Survey; Assistant Pastry Chef; Pastry Chef-Casino;Executive Pastry Chef.\n\n*The salary information listed is based on a national average, unless noted. Actual salaries may vary greatly based on specialization within the field, location, years of experience and a variety of other factors. 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The chefs working at the highest levels—Executive and Certified Master Pastry chefs in North America, for example—have attained their titles through an [[1]] __inclusive__ amount of training that requires precise work: sugar pieces, glazes, candies, and doughs all have to be prepared perfectly to produce the finest quality tarts, cakes, mousses, crisps and confits. [[2]] __The intensive certification process to reach the top of this career field is challenging, but executive-level pastry chefs strive to excel.__ \n\nTwo of the highest titles a pastry chef can achieve in North America are Certified Executive Chef (CEF) and Certified Master Pastry Chef (CMPC), granted by the American Culinary [[3]] __Federation, both involve__ a rigorous examination process and numerous prerequisites. The Executive Chef certification, the less prestigious of the two positions with 165 North American pastry chefs holding the title, requires at least three years of practical work experience and over 100 hours of [[4]] __taking classes in__ Nutrition, Management, and Food Safety and Sanitation courses. The examination includes a 90-minute written portion and a four-hour practical portion. This intense work pays off, however: [[5]] __regular pastry chefs earn about $10,000 more a year than assistant pastry chefs.__ \n\nThese high-level chefs take their expertise to exciting heights. [[6]] __Consequently,__ Certified Executive Chef Hilary DeMane has prepared confections for [[7]] __celebrities, governors, and even__ President Ronald Reagan. In addition to corporate posts in some of the world’s most famous hotels and cruise ships, DeMane has also shared her knowledge in the education [[8]] __field for instance,__ she created an International Baking and Pastry program at the Florida Culinary Institute while serving as its Department Chair. \n\nEven more rigorous are the hurdles that pastry chefs must surmount to achieve CMPC status. Only eleven people in the United States currently hold this title. In order to be considered, [[9]] __they__ must endure an eight-day-long practical exam that showcases their culinary skills; the prize affords membership in an elite cadre of pastry professionals and [[10]] __bestows__ valuable name recognition and clout in the culinary world. Climbing to the top of the dessert world is an arduous task, but those who achieve high levels of success receive considerable recognition. This career path is not for everyone as it requires incredible precision under immense pressure, but CEFs and CMPCs often thrive under these conditions. [[11]]\n","passageTitle":"□□□ □□□ □□□□□ □□ □□□□□□","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/22/17ee201378fc.json b/data/questions/6a/22/17ee201378fc.json new file mode 100644 index 0000000000..3b7335f5ac --- /dev/null +++ b/data/questions/6a/22/17ee201378fc.json @@ -0,0 +1 @@ +{"content":"The $5$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n ** Based only on these $5$ points, plot the $5$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/257f61e32ebfa49d1f28a9843bac61b3d35e87d3.png","width":425},"correct":{"coords":[[0,1],[1,2],[2,4],[3,8],[4,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,2],"labels":["x","y"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/3c/3ccc1a1c4e93.json b/data/questions/6a/3c/3ccc1a1c4e93.json new file mode 100644 index 0000000000..7e565eb886 --- /dev/null +++ b/data/questions/6a/3c/3ccc1a1c4e93.json @@ -0,0 +1 @@ +{"content":"You are an aeronautical engineer for the US Navy. You want to create a small scale drawing of an airplane wing from an F/A-$18$ jet flown by the Blue Angels. The wing is a trapezoid with parallel bases $15\\text{ ft}$ and $6\\text{ ft}$ and a side $13\\text{ ft}$ that is perpendicular to both bases.\n\n*A trapezoid has $4$ sides and at least one pair of parallel sides. *\n\n**Create a scale drawing of the wing using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[0,-7],[9,6],[-6,6],[-6,-7]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["□","□"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/3d/084676d48cae.json b/data/questions/6a/3d/084676d48cae.json new file mode 100644 index 0000000000..e25f7fbe35 --- /dev/null +++ b/data/questions/6a/3d/084676d48cae.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $2$ apples cost $\\$3$. You can buy $6$ apples for $\\$9$. \n \n\n \n**Graph the points described by the given information.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/89893001db81c6a44139e600d854c6a88587cde7.png":{"height":437,"width":444}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[20,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["□","□"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**□□□**. □□□ □□□□□□□□□□□□ □□ □□□□□□□□□□□□.","correct":true},{"content":"**□□**. □□□ □□□□□□□□□□□□ □□ □□□ □□□□□□□□□□□□.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/3e/0c87c047e29e.json b/data/questions/6a/3e/0c87c047e29e.json new file mode 100644 index 0000000000..cec4ce4976 --- /dev/null +++ b/data/questions/6a/3e/0c87c047e29e.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1197a7ebeae001f5aebe8610344448e891f8cf38","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/3f/fd9c872ba165.json b/data/questions/6a/3f/fd9c872ba165.json new file mode 100644 index 0000000000..edcdc9e86f --- /dev/null +++ b/data/questions/6a/3f/fd9c872ba165.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=6(x+7)^2-1.5$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-7,-1.5],[-6.5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-6.5},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-7.5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/41/f61427c4018e.json b/data/questions/6a/41/f61427c4018e.json new file mode 100644 index 0000000000..f123d901bb --- /dev/null +++ b/data/questions/6a/41/f61427c4018e.json @@ -0,0 +1 @@ +{"content":"The interactive graph below contains the graph of $y=3^x$ as a dashed curve, with the points $(0,1)$ and $(1,3)$ highlighted.\n\n**Adjust the movable graph to draw $y=-2\\cdot 3^x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9b46a2a967fc2d1bb7b22e610ba4449aee64d606","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/53/0811138793b7.json b/data/questions/6a/53/0811138793b7.json new file mode 100644 index 0000000000..ad3a87314b --- /dev/null +++ b/data/questions/6a/53/0811138793b7.json @@ -0,0 +1 @@ +{"content":"We want to find the intersection points of the graphs given by the following system of equations:\n\n$\\begin{cases}\nx+y=-3\n\\\\\\\\\nx^2+y^2=9\n\\end{cases}$\n\nThe line given by $x+y=-3$ is graphed.\n\n**1) Draw the circle given by $x^2+y^2=9$ in the interactive graph.**\n\n[[☃ interactive-graph 1]]\n\n**2) Select all intersection points.**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdd8c09b75ce567647a237a18c1ffbf56b9c4780","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-6,6],[-6,6]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"circle"},"correct":{"type":"circle","center":[0,0],"radius":3}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":true,"content":"$(-3,0)$"},{"isNoneOfTheAbove":false,"content":"$(0,-3)$","correct":true},{"isNoneOfTheAbove":false,"content":"$(-2,-2)$","correct":false},{"isNoneOfTheAbove":false,"content":"$(-3,-3)$","correct":false}],"randomize":false,"multipleSelect":true,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/6a/6a/9dc532bc4f2b.json b/data/questions/6a/6a/9dc532bc4f2b.json new file mode 100644 index 0000000000..e9371fb170 --- /dev/null +++ b/data/questions/6a/6a/9dc532bc4f2b.json @@ -0,0 +1 @@ +{"content":"**Construct an $80^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-1.3982678768416987,-1.0700288111122171],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/72/b4eafb1ebf3b.json b/data/questions/6a/72/b4eafb1ebf3b.json new file mode 100644 index 0000000000..3007b426c2 --- /dev/null +++ b/data/questions/6a/72/b4eafb1ebf3b.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $1$\n\nPattern $y$: Starting number: $9$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $9$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,9],[4,12],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/75/b034b942fa29.json b/data/questions/6a/75/b034b942fa29.json new file mode 100644 index 0000000000..b4d55740c3 --- /dev/null +++ b/data/questions/6a/75/b034b942fa29.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=5\\log_3(-x)-5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[0,-10],[0,10]],"coords":[[-1,-5],[-3,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/77/e5d56fcf29bf.json b/data/questions/6a/77/e5d56fcf29bf.json new file mode 100644 index 0000000000..8069a22201 --- /dev/null +++ b/data/questions/6a/77/e5d56fcf29bf.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\sin\\left(\\dfrac{\\pi}{2}x\\right)+2$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,2],[1,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/7f/6167a1c8d2c8.json b/data/questions/6a/7f/6167a1c8d2c8.json new file mode 100644 index 0000000000..d177eda5db --- /dev/null +++ b/data/questions/6a/7f/6167a1c8d2c8.json @@ -0,0 +1 @@ +{"content":"**Construct a $50^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-5.103683495345542,-2.9176668589581762],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/81/0dc48b3c1b13.json b/data/questions/6a/81/0dc48b3c1b13.json new file mode 100644 index 0000000000..3ced2b683b --- /dev/null +++ b/data/questions/6a/81/0dc48b3c1b13.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n-x-4 & , & [-10,-4) \\\\\\\\\n0.2x+0.8 & , & [-4,1)\\\\\\\\\n-1.125x+2.125 & , & [1,9)\\\\\\\\\n15x-143 & , & [9,10]\\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[10,7],[9,-8]],[[1,1],[9,-8]],[[-4,0],[1,1]],[[-10,6],[-4,0]]],"numSegments":4,"type":"segment"},"graph":{"numSegments":4,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/84/32b2089655b5.json b/data/questions/6a/84/32b2089655b5.json new file mode 100644 index 0000000000..a162393911 --- /dev/null +++ b/data/questions/6a/84/32b2089655b5.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the left and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a19d38e107f52c35d0efd4689b090799e23a12b5","width":425},"correct":{"coords":[[0,0],[-3,6],[-3,0],[-6,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/a0/fb3af0b37da7.json b/data/questions/6a/a0/fb3af0b37da7.json new file mode 100644 index 0000000000..748177ebde --- /dev/null +++ b/data/questions/6a/a0/fb3af0b37da7.json @@ -0,0 +1 @@ +{"content":"**Graph $-8x-y=8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-8],[-1,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/a6/4608556da037.json b/data/questions/6a/a6/4608556da037.json new file mode 100644 index 0000000000..f945a7b3ea --- /dev/null +++ b/data/questions/6a/a6/4608556da037.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to build its new location halfway between the towns of Springfield and Greenville. Springfield is located at $(10,3)$ on the map below. Greenville is located at $(10,11)$. \n\n**Plot Springfield, Greenville, and the new shelter on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the animal shelter build its new location?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[10,3],[10,7],[10,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/ab/058b11b9b161.json b/data/questions/6a/ab/058b11b9b161.json new file mode 100644 index 0000000000..5f2693b099 --- /dev/null +++ b/data/questions/6a/ab/058b11b9b161.json @@ -0,0 +1 @@ +{"content":"crwdns3458203:0crwdne3458203:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/c7/3d47f792dc79.json b/data/questions/6a/c7/3d47f792dc79.json new file mode 100644 index 0000000000..6ee2c865a6 --- /dev/null +++ b/data/questions/6a/c7/3d47f792dc79.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ का प्रतिबिंब $x$-अक्ष पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e9c966d1afce75629c2c10578985f6ab10074b95","width":425},"correct":{"coords":[[1,-4],[-2,1],[-5,4],[-4,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/cb/a3592371d0a1.json b/data/questions/6a/cb/a3592371d0a1.json new file mode 100644 index 0000000000..5811ba43fb --- /dev/null +++ b/data/questions/6a/cb/a3592371d0a1.json @@ -0,0 +1 @@ +{"content":"Cole is an urban planner. He wants to create a small scale drawing of a city block. The block is a square with sides of length $100\\text{ m}$.\n\n**Draw the city block such that $1$ unit on the grid below represents $5\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[10,-9],[10,11],[-10,11],[-10,-9]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/cd/5f65b03e932e.json b/data/questions/6a/cd/5f65b03e932e.json new file mode 100644 index 0000000000..9b334fb0b1 --- /dev/null +++ b/data/questions/6a/cd/5f65b03e932e.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\cos\\left(\\dfrac{\\pi}{16}x\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[8,-4],[0,-9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/d7/332f7b4bee69.json b/data/questions/6a/d7/332f7b4bee69.json new file mode 100644 index 0000000000..f3d4c7962f --- /dev/null +++ b/data/questions/6a/d7/332f7b4bee69.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=4\\log_3(-x-3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-3,-10],[-3,10]],"coords":[[-4,0],[-6,4]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/d7/3e42120a66ef.json b/data/questions/6a/d7/3e42120a66ef.json new file mode 100644 index 0000000000..b84e57f943 --- /dev/null +++ b/data/questions/6a/d7/3e42120a66ef.json @@ -0,0 +1 @@ +{"content":"crwdns3144124:0$CORN$crwdnd3144124:0$ycrwdne3144124:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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7":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c4c060003d1e805c2ed442eaf9c7dbe3da8f78e","width":425},"correct":{"coords":[[-9,-3],[-5,-4],[9,1],[-4,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/ea/47669c3694f8.json b/data/questions/6a/ea/47669c3694f8.json new file mode 100644 index 0000000000..73248aac16 --- /dev/null +++ b/data/questions/6a/ea/47669c3694f8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x -12y +76=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[7,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/f7/33e7c066d09a.json b/data/questions/6a/f7/33e7c066d09a.json new file mode 100644 index 0000000000..39b73001cf --- /dev/null +++ b/data/questions/6a/f7/33e7c066d09a.json @@ -0,0 +1 @@ +{"content":"**Graph the following exponential function.**\n\n>$g(x)=-12\\cdot4^{\\large x}$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[-1,-3],[0,-12]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,3],"labels":["□","□"],"markings":"graph","range":[[-5,5],[-18,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,1.5],"step":[1,3],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6a/fc/538b1f7133e9.json b/data/questions/6a/fc/538b1f7133e9.json new file mode 100644 index 0000000000..d1f717e60a --- /dev/null +++ b/data/questions/6a/fc/538b1f7133e9.json @@ -0,0 +1 @@ +{"content":"Brady earned $400$ stars in his school's Read-a-Thon event last year. His goal for this year is to earn at least $100$ more stars than he did last year. He earns $50$ stars for each book he reads and $5$ stars for each magazine he reads.\n\n**Write an *inequality* that represents the number of books $(B)$ and magazines $(M)$ Brady must read to meet his goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $B$ on the horizontal axis and $M$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Brady reads $6$ books $(B)$, which of the following numbers of magazines $(M)$ can he read to meet or exceed the star goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"50B+5M>=500"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,100],[10,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,10],"labels":["B","M"],"markings":"graph","range":[[-2,15],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,5],"step":[2,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$36$","correct":false},{"content":"$40$","correct":true},{"content":"$44$","correct":true},{"content":"$48$","correct":true},{"content":"$53$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/0c/7ced75746b7e.json b/data/questions/6b/0c/7ced75746b7e.json new file mode 100644 index 0000000000..1c3546d97a --- /dev/null +++ b/data/questions/6b/0c/7ced75746b7e.json @@ -0,0 +1 @@ +{"content":"In Hayley's favorite video game, she completes $3$ challenges every $2$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents challenges completed.\n\n**Plot points to show how many challenges Hayley has completed after playing for $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,6],[6,9],[2,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/0f/1742972c9fb0.json b/data/questions/6b/0f/1742972c9fb0.json new file mode 100644 index 0000000000..513866021d --- /dev/null +++ b/data/questions/6b/0f/1742972c9fb0.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{1}{4}x+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,6],[4,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/24/c951e21d03b0.json b/data/questions/6b/24/c951e21d03b0.json new file mode 100644 index 0000000000..5c5a2454cc --- /dev/null +++ b/data/questions/6b/24/c951e21d03b0.json @@ -0,0 +1 @@ +{"content":"**Construct a $45^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/5051a3681fa62ab6306c0042d753173603ce37f1.png":{"height":227,"width":381},"https://ka-perseus-images.s3.amazonaws.com/f71fe296cc2df5d63d0f15a62bf5144ec0a46ecf.png":{"height":215,"width":212}},"widgets":{"interactive-graph 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graph below to draw an isosceles right triangle with a right angle at $(-6,12)$ and another vertex at $(12,12)$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,12],[12,12],[-6,-6]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/3f/6d07ce5dcb39.json b/data/questions/6b/3f/6d07ce5dcb39.json new file mode 100644 index 0000000000..3a2d2ce789 --- /dev/null +++ b/data/questions/6b/3f/6d07ce5dcb39.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54acda61b712f60ff784e4dc6ef203668b95e198","width":425},"correct":{"coords":[[0,-1],[2,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/5a/812e6d57d291.json b/data/questions/6b/5a/812e6d57d291.json new file mode 100644 index 0000000000..0904b13fd0 --- /dev/null +++ b/data/questions/6b/5a/812e6d57d291.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{LA}$ is rotated $-270^\\circ$ about the point $(3,-3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7,-7],[5,4],[-3,4],[-3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/5a/9dc62e60e0ed.json b/data/questions/6b/5a/9dc62e60e0ed.json new file mode 100644 index 0000000000..151dddecd6 --- /dev/null +++ b/data/questions/6b/5a/9dc62e60e0ed.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/5c/0bb176e9340f.json b/data/questions/6b/5c/0bb176e9340f.json new file mode 100644 index 0000000000..65fcac6015 --- /dev/null +++ b/data/questions/6b/5c/0bb176e9340f.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{A}$ and goes through point $\\text{B}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/070961f66d772ef37fa4c644a19a05e8ec3d8b39.png","width":400},"correct":{"coords":[[7,-3],[-7,3]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/63/2a90f06dec9e.json b/data/questions/6b/63/2a90f06dec9e.json new file mode 100644 index 0000000000..79dd1d8f49 --- /dev/null +++ b/data/questions/6b/63/2a90f06dec9e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{2}(x-2)^2-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-4],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/63/ff2c9c3ad2e7.json b/data/questions/6b/63/ff2c9c3ad2e7.json new file mode 100644 index 0000000000..77e6ca4eb1 --- /dev/null +++ b/data/questions/6b/63/ff2c9c3ad2e7.json @@ -0,0 +1 @@ +{"content":"Last year, Denise harvested $3000$ metric tons of crops on her farm. This year, she wants to exceed last year's count by at least $2000$ metric tons. Each field of corn she harvests will yield $200$ metric tons, and each field of soybeans will yield $200$ metric tons.\n\n\n**Write an *inequality* that represents the number of fields of corn $(C)$ and fields of soybeans $(S)$ Denise will need to plow to achieve her harvest goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $S$ on the horizontal axis and $C$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Denise plows $10$ fields of corn $(C)$, which of the following numbers of fields of soybeans $(S)$ can she plow to meet or exceed the harvest goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"200C+200S>=5000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"200c+200s\\ge5000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,25],[25,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["S","C"],"markings":"graph","range":[[-5,40],[-5,40]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$14$","correct":false},{"content":"$17$","correct":true},{"content":"$19$","correct":true},{"content":"$20$","correct":true},{"content":"$23$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/95/98f8916118a7.json b/data/questions/6b/95/98f8916118a7.json new file mode 100644 index 0000000000..164677c8ed --- /dev/null +++ b/data/questions/6b/95/98f8916118a7.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+2)^2+(y+1)^2=49$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,-1],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/a5/2877917687b2.json b/data/questions/6b/a5/2877917687b2.json new file mode 100644 index 0000000000..1c78b43984 --- /dev/null +++ b/data/questions/6b/a5/2877917687b2.json @@ -0,0 +1 @@ +{"content":"crwdns3458185:0crwdne3458185:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/a8/2b0171d2704c.json b/data/questions/6b/a8/2b0171d2704c.json new file mode 100644 index 0000000000..04c4845b03 --- /dev/null +++ b/data/questions/6b/a8/2b0171d2704c.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $30^\\circ$, $115^\\circ$, and $35^\\circ$ angles.**\n\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.640450870633723,2.2429119842261436],[0.13809773490553745,10.91055677536669],[3.699587346119687,2.520213048931131]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/ad/1ebe7772749e.json b/data/questions/6b/ad/1ebe7772749e.json new file mode 100644 index 0000000000..5e8930e8ba --- /dev/null +++ b/data/questions/6b/ad/1ebe7772749e.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of hours before or after noon. For example, $-1$ would represent $11 \\text{ a.m.}$ The $y$-axis represents the temperature in degrees Celsius. The points $(-1, 6)$ and $(7,6)$ represent two temperatures at different times of the day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many hours pass between the two temperatures shown?** \n\n[[☃ input-number 1]] hours\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-1,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ (\\ťțéèẍẋťț{ĥȟóòúùŕřśŝ})","ý (^\\ćĉíìŕřćĉ\\ťțéèẍẋťț{ĆĈ})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/c5/b9919469e2cc.json b/data/questions/6b/c5/b9919469e2cc.json new file mode 100644 index 0000000000..4bacf12292 --- /dev/null +++ b/data/questions/6b/c5/b9919469e2cc.json @@ -0,0 +1 @@ +{"content":"In Hayley's favorite video game, she completes $3$ challenges every $2$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents challenges completed.\n\n**Plot points to show how many challenges Hayley has completed after playing for $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,6],[6,9],[2,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/cd/5ed0a06ff26a.json b/data/questions/6b/cd/5ed0a06ff26a.json new file mode 100644 index 0000000000..b41957995d --- /dev/null +++ b/data/questions/6b/cd/5ed0a06ff26a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+2)^2+(y-6)^2=9$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/ea/41e9e8c04745.json b/data/questions/6b/ea/41e9e8c04745.json new file mode 100644 index 0000000000..f8100f734c --- /dev/null +++ b/data/questions/6b/ea/41e9e8c04745.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the final point after reflecting point $A$ across the $x$-axis and then across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/322d32857bc0796c0f54a12d973b3f2218c12894","width":400},"correct":{"coords":[[-7,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/ee/16078c683d81.json b/data/questions/6b/ee/16078c683d81.json new file mode 100644 index 0000000000..a92f7f9df4 --- /dev/null +++ b/data/questions/6b/ee/16078c683d81.json @@ -0,0 +1 @@ +{"content":"crwdns3474914:0crwdne3474914:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6b/ef/9e82ea425273.json b/data/questions/6b/ef/9e82ea425273.json new file mode 100644 index 0000000000..cdd8343d9f --- /dev/null +++ b/data/questions/6b/ef/9e82ea425273.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57fada679b2228b82c107e21fd5a255619c46950","width":430},"correct":{"coords":[[8,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/18/543f03240398.json b/data/questions/6c/18/543f03240398.json new file mode 100644 index 0000000000..97ffc5451f --- /dev/null +++ b/data/questions/6c/18/543f03240398.json @@ -0,0 +1 @@ +{"content":"crwdns5558117:0$ycrwdnd5558117:0{1}crwdnd5558117:0{7}crwdne5558117:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/27/5d608a866c63.json b/data/questions/6c/27/5d608a866c63.json new file mode 100644 index 0000000000..cc137d0171 --- /dev/null +++ b/data/questions/6c/27/5d608a866c63.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{3}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/81a2a3c4b1514ed8dee7ffa0bcd151f5b4748e77","width":400},"correct":{"coords":[[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/33/928ab7fbf298.json b/data/questions/6c/33/928ab7fbf298.json new file mode 100644 index 0000000000..58b294fbfa --- /dev/null +++ b/data/questions/6c/33/928ab7fbf298.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(-2.5,2)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(-2.5,2)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.5,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□□□□□□□ ","correct":false},{"content":"□□□□□□ □□□□□□□□ ","correct":true},{"content":"□□□□□ □□□□□□□□","correct":false},{"content":"□□□□□□ □□□□□□□□","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/6c/66/59fddb9a5283.json b/data/questions/6c/66/59fddb9a5283.json new file mode 100644 index 0000000000..0097c6bb4c --- /dev/null +++ b/data/questions/6c/66/59fddb9a5283.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2(x +2)(x +6)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-4,-8],[-2,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/66/ac4054fb2988.json b/data/questions/6c/66/ac4054fb2988.json new file mode 100644 index 0000000000..44b5d90237 --- /dev/null +++ b/data/questions/6c/66/ac4054fb2988.json @@ -0,0 +1 @@ +{"content":"Tina is employed by Amateur Painters for the summer. She has a strict $\\$1000$ budget to cover the cost of paint and stain. A liter of paint costs $\\$10$, and a liter of stain costs $\\$20$.\n\n**Write an *inequality* that represents the number of liters of paint $(P)$ and liters of stain $(S)$ Tina can use without exceeding her expense budget.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $P$ on the horizontal axis and $S$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Tina uses $40$ liters of paint $(P)$, which of the following numbers of liters of stain $(S)$ can she use without exceeding the expense budget?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"10P+20S<=1000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"10p+20s\\le1000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,50],[100,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[10,5],"labels":["P","S"],"markings":"graph","range":[[-10,120],[-8,75]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,2.5],"step":[20,10]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$26$","correct":true},{"content":"$29$","correct":true},{"content":"$32$","correct":false},{"content":"$35$","correct":false},{"content":"$38$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/6b/8d0b11879a80.json b/data/questions/6c/6b/8d0b11879a80.json new file mode 100644 index 0000000000..e09dacd5e4 --- /dev/null +++ b/data/questions/6c/6b/8d0b11879a80.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x+2|-8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,-8],[0,-6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/6d/6fce9074de92.json b/data/questions/6c/6d/6fce9074de92.json new file mode 100644 index 0000000000..ef95bb64ca --- /dev/null +++ b/data/questions/6c/6d/6fce9074de92.json @@ -0,0 +1 @@ +{"content":"crwdns3144294:0{SAM}crwdne3144294:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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+{"content":"crwdns3362577:0$fcrwdnd3362577:0{0.5x-1}crwdnd3362577:0$gcrwdnd3362577:0$ycrwdnd3362577:0$ycrwdnd3362577:0$x_1$crwdnd3362577:0$x_2$crwdnd3362577:0{0.5x-1}crwdnd3362577:0$x_1crwdnd3362577:0$x_1$crwdnd3362577:0{0.5}crwdne3362577:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[0,1],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0d576246b662a2761e1de12b4c5f3664b4855817","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":2.42},{"maxError":0.5,"message":"crwdns3882553:0crwdne3882553:0","simplify":"required","status":"wrong","strict":false,"value":-3.4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/82/f5a17f83530b.json b/data/questions/6c/82/f5a17f83530b.json new file mode 100644 index 0000000000..f00d78e0d7 --- /dev/null +++ b/data/questions/6c/82/f5a17f83530b.json @@ -0,0 +1 @@ +{"content":"On your math quiz, you earn $4$ points for each question that you answer correctly. In the table below, $x$ represents the number of questions that you answer correctly on your math quiz, and $y$ represents the total number of points that you score on your quiz.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$y=4x.$\n\n**Plot two points on the graph that show the number of points you get on your quiz if you answer $4$ questions correctly and $6$ questions correctly.**\n\n\n$x$ | $y$\n:-:|:-:\n$0$ | $0$\n$1$ | $4$\n$2$ | $8$\n$3$ | $12$\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[4,16],[6,24]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["x","y"],"markings":"graph","range":[[-2,10],[-2,30]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/98/4a10d23d311f.json b/data/questions/6c/98/4a10d23d311f.json new file mode 100644 index 0000000000..8afb5dec79 --- /dev/null +++ b/data/questions/6c/98/4a10d23d311f.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{17} \\left( \\cos(104 \\degree) + i\\sin(104 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[-1,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/a6/671396ee941f.json b/data/questions/6c/a6/671396ee941f.json new file mode 100644 index 0000000000..5a8df5691c --- /dev/null +++ b/data/questions/6c/a6/671396ee941f.json @@ -0,0 +1 @@ +{"content":"crwdns3074212:0{A}crwdnd3074212:0{B}crwdnd3074212:0{C}crwdne3074212:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":false},{"content":"crwdns2671927:0crwdne2671927:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":true},{"content":"crwdns2671923:0crwdne2671923:0","correct":false},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3c380a18488dfcb7193ce11734cfca2eff34660","width":400},"correct":{"coords":[[[2,6],[-2,-6]],[[2,6],[6,-2]],[[-2,-6],[6,-2]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/b8/b98d359c5917.json b/data/questions/6c/b8/b98d359c5917.json new file mode 100644 index 0000000000..738dc9fdbc --- /dev/null +++ b/data/questions/6c/b8/b98d359c5917.json @@ -0,0 +1 @@ +{"content":"crwdns3153924:0crwdne3153924:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/64ab643e0e36f94c1150b21e140a837b9a3b7cc7":{"height":425,"width":440}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3153962:0crwdne3153962:0","correct":false},{"content":"crwdns3153959:0crwdne3153959:0","correct":false},{"content":"crwdns3153960:0crwdne3153960:0","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/cd/58614dadb53a.json b/data/questions/6c/cd/58614dadb53a.json new file mode 100644 index 0000000000..3ecb313916 --- /dev/null +++ b/data/questions/6c/cd/58614dadb53a.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nMandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n| | |\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,10],[2,20],[3,30]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["$\\text{Hours}$","$\\text{Earnings}$"],"markings":"graph","range":[[-1,6.5],[-5,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/6c/d6/658ad049de96.json b/data/questions/6c/d6/658ad049de96.json new file mode 100644 index 0000000000..2f16b997ed --- /dev/null +++ b/data/questions/6c/d6/658ad049de96.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a rhombus with an acute angle at $(0, 3)$, another vertex at $(3,7)$, side length of $5$ units, and two sides parallel to the $x$-axis.** \n\nDraw the rhombus in the first quadrant.\n\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7],[0,3],[5,3],[8,7]],"match":"exact","numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/d7/d3d7123218ed.json b/data/questions/6c/d7/d3d7123218ed.json new file mode 100644 index 0000000000..683a3299e0 --- /dev/null +++ b/data/questions/6c/d7/d3d7123218ed.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $f(x)=\\dfrac{4}{15}(x+6.5)(x-8.5)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the function.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-15],[8.5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-16,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-15}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/d7/fe4c664984c3.json b/data/questions/6c/d7/fe4c664984c3.json new file mode 100644 index 0000000000..a63cab4ee8 --- /dev/null +++ b/data/questions/6c/d7/fe4c664984c3.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ac7f013eb28eb7af13e4bd5e5bdf9f19c5fccd69","width":425},"correct":{"coords":[[5,-8],[5,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/e8/a14e2681a766.json b/data/questions/6c/e8/a14e2681a766.json new file mode 100644 index 0000000000..f04c5965e4 --- /dev/null +++ b/data/questions/6c/e8/a14e2681a766.json @@ -0,0 +1 @@ +{"content":"**Draw the image of the rotation of quadrilateral $SORT$ by $270^\\circ$ about the origin.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/026d940b1c21dbd428b8378f7252511147d5ef35","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[-2,-7],[3,2],[-1,2],[-6,-7]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6c/f3/00ef2c498013.json b/data/questions/6c/f3/00ef2c498013.json new file mode 100644 index 0000000000..c375e252b7 --- /dev/null +++ b/data/questions/6c/f3/00ef2c498013.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-1,-3)$, and which has the point $(-7,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/07/fcbd4bd61d97.json b/data/questions/6d/07/fcbd4bd61d97.json new file mode 100644 index 0000000000..1de737215e --- /dev/null +++ b/data/questions/6d/07/fcbd4bd61d97.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -3|x+6|+4, ~~\\text{Domain}~~[-9,-3]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-6"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-6,4],[-3,-5]],[[-9,-5],[-6,4]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/6d/16/9da2529193b8.json b/data/questions/6d/16/9da2529193b8.json new file mode 100644 index 0000000000..7a1b005b12 --- /dev/null +++ b/data/questions/6d/16/9da2529193b8.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b2bc35a8f5bbc24767856d47249be0885bed826c","width":430},"correct":{"coords":[[6,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/26/8e0e4f167c9b.json b/data/questions/6d/26/8e0e4f167c9b.json new file mode 100644 index 0000000000..49bba61841 --- /dev/null +++ b/data/questions/6d/26/8e0e4f167c9b.json @@ -0,0 +1 @@ +{"content":"[Q5] Consider the following trigonometric function:\n\n$\\qquad g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$\n\n**Graph $g(x)$ in the interactive widget.**\n\nhint: the function has a midline of $y = 4$, a period of $6\\pi$, a local maximum at $(2.5\\pi, 6)$, and a local minimum at $(-\\dfrac\\pi 2 , 2)$.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"coords":[[2,4],[5,6]],"type":"sinusoid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/34/da964138f35e.json b/data/questions/6d/34/da964138f35e.json new file mode 100644 index 0000000000..c85f5f63b1 --- /dev/null +++ b/data/questions/6d/34/da964138f35e.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/150228ec3c6d4bb1f46abcd191d07bed0a588059","width":400},"correct":{"coords":[[1,-2],[1,0],[-3,0],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/51/72160ac60a85.json b/data/questions/6d/51/72160ac60a85.json new file mode 100644 index 0000000000..8abdd41708 --- /dev/null +++ b/data/questions/6d/51/72160ac60a85.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x^2-1)(x^2-5x+6)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[1,0],[3,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/57/d260d3a57db5.json b/data/questions/6d/57/d260d3a57db5.json new file mode 100644 index 0000000000..c74602ffc1 --- /dev/null +++ b/data/questions/6d/57/d260d3a57db5.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(-1,5)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(-1,5)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-1,5]],"type":"point"},"graph":{"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□□□□□□□ ","correct":false},{"content":"□□□□□□ □□□□□□□□ ","correct":true},{"content":"□□□□□ □□□□□□□□","correct":false},{"content":"□□□□□□ □□□□□□□□","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/6d/6f/6389378a104a.json b/data/questions/6d/6f/6389378a104a.json new file mode 100644 index 0000000000..26df8f7c13 --- /dev/null +++ b/data/questions/6d/6f/6389378a104a.json @@ -0,0 +1 @@ +{"content":"This one has a ruler.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":true,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"segment"},"correct":{"type":"segment"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/76/f36878d8a630.json b/data/questions/6d/76/f36878d8a630.json new file mode 100644 index 0000000000..573fc46fd6 --- /dev/null +++ b/data/questions/6d/76/f36878d8a630.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8bea3257ad6210c06ebed31a0aae94c2a2086744","width":425},"correct":{"coords":[[-3,-4],[-3,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/88/6c59f5b8826d.json b/data/questions/6d/88/6c59f5b8826d.json new file mode 100644 index 0000000000..55dccf3cfc --- /dev/null +++ b/data/questions/6d/88/6c59f5b8826d.json @@ -0,0 +1 @@ +{"content":"crwdns4116740:0{SEA}crwdne4116740:0","images":{},"widgets":{"interactive-graph 5":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/df11a4dcfef566134502e6b4fc9091d9bfb35f65","width":425},"correct":{"coords":[[2,7],[-2,7],[2,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/a4/93351c908f19.json b/data/questions/6d/a4/93351c908f19.json new file mode 100644 index 0000000000..8f45c60681 --- /dev/null +++ b/data/questions/6d/a4/93351c908f19.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $7$ units from Point $\\blueD{C}$ and also share the same $y$-coordinate as Point $\\blueD{C}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4339d27be2c9183c6a87c4e3805a54b257497bef","width":425},"correct":{"coords":[[8,-4],[-6,-4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/a6/b8744aa7005c.json b/data/questions/6d/a6/b8744aa7005c.json new file mode 100644 index 0000000000..19df0727fc --- /dev/null +++ b/data/questions/6d/a6/b8744aa7005c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-5)^2+(y-2)^2=16$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,2],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/b2/ddf390eb547a.json b/data/questions/6d/b2/ddf390eb547a.json new file mode 100644 index 0000000000..8bd2d1ca84 --- /dev/null +++ b/data/questions/6d/b2/ddf390eb547a.json @@ -0,0 +1 @@ +{"content":"**Graph $y = \\dfrac{5}{8}(x+5)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[3,5],[-5,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/b5/392cc9fd556a.json b/data/questions/6d/b5/392cc9fd556a.json new file mode 100644 index 0000000000..5092cc3b12 --- /dev/null +++ b/data/questions/6d/b5/392cc9fd556a.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(7, 6)$ and $(0, 6)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[0,6],[7,6]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/b6/496b4aab318e.json b/data/questions/6d/b6/496b4aab318e.json new file mode 100644 index 0000000000..8a2fe59f9a --- /dev/null +++ b/data/questions/6d/b6/496b4aab318e.json @@ -0,0 +1 @@ +{"content":"**Construct a $75^\\circ$ angle.** \n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/c1/720c6137d56d.json b/data/questions/6d/c1/720c6137d56d.json new file mode 100644 index 0000000000..4e80a1df0c --- /dev/null +++ b/data/questions/6d/c1/720c6137d56d.json @@ -0,0 +1 @@ +{"content":"Asha lives at $2^{\\text{nd}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(2,11)$ on the map below. She and her sister decide to walk to the ice cream shop at $5^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(5, 4)$ on the map. They head down $2^{\\text{nd}}$ Avenue then over on $4^{\\text{th}}$ Street. \n\n**Plot Asha's home and the ice cream shop on the map.** \n\n[[☃ interactive-graph 1]]\n\n**How many blocks do they walk to get to the ice cream shop?** \n[[☃ input-number 1]] blocks\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,11],[5,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/c6/4fddf58625d9.json b/data/questions/6d/c6/4fddf58625d9.json new file mode 100644 index 0000000000..6fdbaea20b --- /dev/null +++ b/data/questions/6d/c6/4fddf58625d9.json @@ -0,0 +1 @@ +{"content":"crwdns3225358:0:-:crwdnd3225358:0:-:crwdnd3225358:0:-:crwdnd3225358:0:-:crwdnd3225358:0$1$crwdnd3225358:0$2$crwdnd3225358:0$5$crwdnd3225358:0$3$crwdnd3225358:0$6$crwdnd3225358:0$15$crwdne3225358:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,3],[2,6],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["crwdns5287452:0{Targets hit}crwdne5287452:0","crwdns5287455:0{Points}crwdne5287455:0"],"markings":"graph","range":[[-0.5,7],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2693864:0crwdne2693864:0","correct":true},{"content":"crwdns2693863:0crwdne2693863:0","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/6d/cb/4c92bfae858f.json b/data/questions/6d/cb/4c92bfae858f.json new file mode 100644 index 0000000000..fa8cb68ba6 --- /dev/null +++ b/data/questions/6d/cb/4c92bfae858f.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x-1)(x+3)(2x+1)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,0],[-3,0],[-0.5,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/cc/0a6f687af3bb.json b/data/questions/6d/cc/0a6f687af3bb.json new file mode 100644 index 0000000000..22924468da --- /dev/null +++ b/data/questions/6d/cc/0a6f687af3bb.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0aebe236000f6f39501780a7f557dfb0d6e30b94","width":425},"correct":{"coords":[[2,3],[-4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/e2/ff1e3e0f0faa.json b/data/questions/6d/e2/ff1e3e0f0faa.json new file mode 100644 index 0000000000..aa34f2a17e --- /dev/null +++ b/data/questions/6d/e2/ff1e3e0f0faa.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(4,3)$ and has a slope of $\\dfrac12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[4,3],[6,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/e8/e8569a61117d.json b/data/questions/6d/e8/e8569a61117d.json new file mode 100644 index 0000000000..fb3bc7ff8a --- /dev/null +++ b/data/questions/6d/e8/e8569a61117d.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a1c417d2533de29242b0d105c1ec32a8504a666","width":425},"correct":{"coords":[[0,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/f8/0f860326b247.json b/data/questions/6d/f8/0f860326b247.json new file mode 100644 index 0000000000..a8fec6fd9c --- /dev/null +++ b/data/questions/6d/f8/0f860326b247.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-3)$ and has a slope of $-2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[-4,-5],[-5,-3]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/f8/a4eca57204aa.json b/data/questions/6d/f8/a4eca57204aa.json new file mode 100644 index 0000000000..63eabda4e8 --- /dev/null +++ b/data/questions/6d/f8/a4eca57204aa.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d285c1870f0fbdea9bc75096c628b3992ad821e","width":430,"height":430},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[7,-3]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6d/fa/9a800d3264a6.json b/data/questions/6d/fa/9a800d3264a6.json new file mode 100644 index 0000000000..829f73dc8d --- /dev/null +++ b/data/questions/6d/fa/9a800d3264a6.json @@ -0,0 +1 @@ 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Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. 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The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$12$|$13$|$15$|$16$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/4462e70cdf743ecb175af81d2534a327c653d195.png","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/6e/2e/dcb93cc9e1d8.json b/data/questions/6e/2e/dcb93cc9e1d8.json new file mode 100644 index 0000000000..aaa87ace9f --- /dev/null +++ b/data/questions/6e/2e/dcb93cc9e1d8.json @@ -0,0 +1 @@ +{"content":"Jozy throws a stone off of a bridge into a river. The function $f$ models the stone's height (in meters) above the water as a function of time (in seconds) after Jozy throws it.\n\n**Plot the point on the graph of $f$ that corresponds to the height above the water from which Jozy threw the stone.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,5],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ef382fead9b6e71f8e3da5be90ec8c7907bc54a4","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,7],[-5,50]],"gridStep":[0.5,5],"snapStep":[0.5,2.5],"graph":{"type":"point"},"correct":{"type":"point","coords":[[0,25]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/6e/33/f44b8d6f61a2.json b/data/questions/6e/33/f44b8d6f61a2.json new file mode 100644 index 0000000000..3b02a83ac3 --- /dev/null +++ b/data/questions/6e/33/f44b8d6f61a2.json @@ -0,0 +1 @@ +{"content":"\n\n[[☃ passage 1]]\n\nCareer | Median annual salary*\n- | - | -\nAssistant pastry chef | $\\$39{,}419$\nPastry chef | $\\$50{,}978$\nExecutive pastry chef | $\\$60{,}480$\n\nSources: Salary.com's January 2014 Survey; Assistant Pastry Chef; Pastry Chef-Casino;Executive Pastry Chef.\n\n*The salary information listed is based on a national average, unless noted. Actual salaries may vary greatly based on specialization within the field, location, years of experience and a variety of other factors. 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1":{"graded":true,"options":{"correct":{"shape":{"coords":[[2,2],[2,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"drawSolutionShape":true,"gradeEmpty":false,"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"dynamic","starting":{"shape":{"coords":[[2,2],[2,6],[7,2]],"type":"polygon-3"},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":true,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[2,-4],[2,2]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":true,"required":false},"translation":{"constraints":{},"enabled":true,"required":false}},"version":1.2},"type":"transformer","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6e/5d/d99671c0c4b4.json b/data/questions/6e/5d/d99671c0c4b4.json new file mode 100644 index 0000000000..871011924b --- /dev/null +++ b/data/questions/6e/5d/d99671c0c4b4.json @@ -0,0 +1 @@ +{"content":"**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n$R=\\left[\\begin{array} {ccc}\n3.5 & 0 \\\\\n0 & 3.5 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8db7b435093a7fc27e399254da983947fa2cf84f","width":425},"correct":{"coords":[[7,0],[0,7],[-7,-7]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6e/63/016c962aa521.json b/data/questions/6e/63/016c962aa521.json new file mode 100644 index 0000000000..9120701c2d --- /dev/null +++ b/data/questions/6e/63/016c962aa521.json @@ -0,0 +1 @@ +{"content":"**Construct a $155^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[9.042237334209203,-4.783535484203209],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6e/68/35991b01edd4.json b/data/questions/6e/68/35991b01edd4.json new file mode 100644 index 0000000000..03138d3de1 --- /dev/null +++ b/data/questions/6e/68/35991b01edd4.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=3e^{-0.1x}$ and let $g(x)=(x+2)^2-8$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $3e^{-0.1x}=(x+2)^2-8$, where $x_1","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3154050:0$11$crwdnd3154050:0$x$crwdnd3154050:0$y$crwdnd3154050:0$3$crwdne3154050:0","correct":true},{"content":"crwdns3154049:0$11$crwdnd3154049:0$-x$crwdnd3154049:0$y$crwdnd3154049:0$-3$crwdne3154049:0","correct":false},{"content":"crwdns3154052:0$11$crwdnd3154052:0$y$crwdnd3154052:0$-x$crwdnd3154052:0$-3$crwdne3154052:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6f/c1/887408547d41.json b/data/questions/6f/c1/887408547d41.json new file mode 100644 index 0000000000..3113c80eeb --- /dev/null +++ b/data/questions/6f/c1/887408547d41.json @@ -0,0 +1 @@ +{"content":"crwdns3209062:0$PIKE$crwdne3209062:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d69287c4a33665883c46c2e33cdec55552dd7716.png","width":425},"correct":{"coords":[[4,-5],[5,-3],[0,-4],[-1,-8]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/6f/cd/b8eec31f0796.json b/data/questions/6f/cd/b8eec31f0796.json new file mode 100644 index 0000000000..4532947a04 --- /dev/null +++ b/data/questions/6f/cd/b8eec31f0796.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{y^2}{1600}-\\dfrac{x^2}{5625}=1$**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/99113c3dd51fbedfba2afbd4ea35ef28ce14e445","width":425},"correct":{"coords":[[0,85],[0,-85]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["□","□"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/6f/d5/73cd51aca93d.json b/data/questions/6f/d5/73cd51aca93d.json new file mode 100644 index 0000000000..e1c3a16d60 --- /dev/null +++ b/data/questions/6f/d5/73cd51aca93d.json @@ -0,0 +1 @@ +{"content":"Last year, Charles earned $50$ points in the Wellness Competition at work. This year, his goal is to at least double his point total from last year. Charles earns $5$ points for each mile he runs and $2$ points for each mile he bikes.\n\n**Write an *inequality* that represents the number of miles Charles needs to run $(R)$ and bike $(B)$ to achieve his point goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $R$ on the horizontal axis and $B$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Charles runs $12$ miles $(R)$, which of the following numbers of miles can he bike $(B)$ to meet or exceed the point goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"5R+2B>=100","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[5,10],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["R","B"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,30],[-5,55]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,50],[20,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$20$","correct":true},{"content":"$22$","correct":true},{"content":"$25$","correct":true},{"content":"$27$","correct":true},{"content":"$30$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/01/b6cde93d4543.json b/data/questions/70/01/b6cde93d4543.json new file mode 100644 index 0000000000..56ff94505e --- /dev/null +++ b/data/questions/70/01/b6cde93d4543.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=2\\cos(0.5x-0.25\\pi)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[3,-5],[1,-3]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/02/c3151bb020e6.json b/data/questions/70/02/c3151bb020e6.json new file mode 100644 index 0000000000..0362a9f1f5 --- /dev/null +++ b/data/questions/70/02/c3151bb020e6.json @@ -0,0 +1 @@ +{"content":"Biologists introduced a population of bacteria to a test environment. The function $f$ models the population size (in thousands) as a function of time (in days) after introduction.\n\n**Plot the point on the graph of $f$ that corresponds to when there are no more bacteria in the population.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdfc620353de32ae7ea29f969ef097691d46e3a1","width":400},"correct":{"coords":[[4,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,5],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/05/f2acdf545e40.json b/data/questions/70/05/f2acdf545e40.json new file mode 100644 index 0000000000..fe7c5975a2 --- /dev/null +++ b/data/questions/70/05/f2acdf545e40.json @@ -0,0 +1 @@ +{"content":"crwdns6902036:0$ycrwdnd6902036:0{10}crwdne6902036:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-7],[5,-5]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/07/a0f8420670a3.json b/data/questions/70/07/a0f8420670a3.json new file mode 100644 index 0000000000..b57a754a1b --- /dev/null +++ b/data/questions/70/07/a0f8420670a3.json @@ -0,0 +1 @@ +{"content":"The ice cream store wants to build a new shop halfway between the towns of Riverside and Fairview. Riverside is located at $(2,4)$ on the map below. Fairview is located at $(12,4)$. \n\n**Plot Riverside, Fairview, and the new ice cream shop on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the ice cream store build its new shop?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7,4],[12,4],[2,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/11/f4ae02baf41d.json b/data/questions/70/11/f4ae02baf41d.json new file mode 100644 index 0000000000..05ac9c7b9d --- /dev/null +++ b/data/questions/70/11/f4ae02baf41d.json @@ -0,0 +1 @@ +{"content":"crwdns6727036:0$xcrwdne6727036:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,1],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/12/2fee92901aa3.json b/data/questions/70/12/2fee92901aa3.json new file mode 100644 index 0000000000..d5c00312cf --- /dev/null +++ b/data/questions/70/12/2fee92901aa3.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(6,0)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/16/347d5eb81b0f.json b/data/questions/70/16/347d5eb81b0f.json new file mode 100644 index 0000000000..6d41bbf178 --- /dev/null +++ b/data/questions/70/16/347d5eb81b0f.json @@ -0,0 +1 @@ +{"content":"We want to find the intersection points of the graphs given by the following system of equations:\n\n$\\begin{cases}\nx+y=-3\n\\\\\\\\\nx^2+y^2=9\n\\end{cases}$\n\nThe line given by $x+y=-3$ is graphed.\n\n**1) Draw the circle given by $x^2+y^2=9$ in the interactive graph.**\n\n[[☃ interactive-graph 1]]\n\n**2) Select all intersection points.**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdd8c09b75ce567647a237a18c1ffbf56b9c4780","width":400},"correct":{"center":[0,0],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(-3,0)$","correct":true},{"content":"$(0,-3)$","correct":true,"isNoneOfTheAbove":false},{"content":"$(-2,-2)$","correct":false,"isNoneOfTheAbove":false},{"content":"$(-3,-3)$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/70/41/de081221ef3c.json b/data/questions/70/41/de081221ef3c.json new file mode 100644 index 0000000000..72b88c65fc --- /dev/null +++ b/data/questions/70/41/de081221ef3c.json @@ -0,0 +1 @@ +{"content":"**Construct a $135^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/7611383fc5b1e00cf8203424ace9721fd3e123f4.png":{"height":227,"width":401},"https://ka-perseus-images.s3.amazonaws.com/7f12d9ea864c176f2f5dcf0548f5192e86c79e67.png":{"height":193,"width":400}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.888438648072231,-2.1115613519277696],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/5e/c2e74c81e259.json b/data/questions/70/5e/c2e74c81e259.json new file mode 100644 index 0000000000..e50fbf989c --- /dev/null +++ b/data/questions/70/5e/c2e74c81e259.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $A$ and scale factor is $\\dfrac{1}{4}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f43b94ab75a07413fd0f2130b6b006ab2eaa7ee","width":400},"correct":{"coords":[[-4,0],[-3,3],[-6,2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/7b/031e848ab12a.json b/data/questions/70/7b/031e848ab12a.json new file mode 100644 index 0000000000..eb0f689cfc --- /dev/null +++ b/data/questions/70/7b/031e848ab12a.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $y=-\\dfrac{1}{3}(x+5)(x-1)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the equation.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,3],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/88/4912c1f873aa.json b/data/questions/70/88/4912c1f873aa.json new file mode 100644 index 0000000000..eac20a72fd --- /dev/null +++ b/data/questions/70/88/4912c1f873aa.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $5$ units in $t$ corresponds to an increase of $2$ units in $d$.\n \n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the line.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"0.4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/8a/8d0e5d3b3266.json b/data/questions/70/8a/8d0e5d3b3266.json new file mode 100644 index 0000000000..60c28800b7 --- /dev/null +++ b/data/questions/70/8a/8d0e5d3b3266.json @@ -0,0 +1 @@ +{"content":"A doctor collected data on how many hours children of different ages slept in a day. Data for $5$ participants are shown below.\n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Age (years)** | $1$ | $2$ | $3$ | $5$ | $8$\n**Sleep (hours)** | $13$ | $11$ | $10$ | $9$ | $8$ \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,13],[2,11],[3,10],[5,9],[8,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Age}$","$\\text{Sleep}$"],"markings":"graph","range":[[-1,11],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/a3/6873577f856c.json b/data/questions/70/a3/6873577f856c.json new file mode 100644 index 0000000000..892e6a1de5 --- /dev/null +++ b/data/questions/70/a3/6873577f856c.json @@ -0,0 +1 @@ +{"content":"We want to find the intersection points of the graphs given by the following system of equations:\n\n$\\begin{cases}\nx+y=2\n\\\\\\\\\nx^2+y^2=4\n\\end{cases}$\n\nThe line given by $x+y=2$ is graphed.\n\n**1) Draw the circle given by $x^2+y^2=4$ in the interactive graph.**\n\n[[☃ interactive-graph 1]]\n\n**2) Select all intersection points.**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a72273fab34b04034330809c910db7d2d2c476f8","width":400},"correct":{"center":[0,0],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(2,2)$","correct":false},{"content":"$(1,1)$","correct":false,"isNoneOfTheAbove":false},{"content":"$(0,2)$","correct":true,"isNoneOfTheAbove":false},{"content":"$(2,0)$","correct":true,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/70/a6/b1cdb060985d.json b/data/questions/70/a6/b1cdb060985d.json new file mode 100644 index 0000000000..1d2bdacc86 --- /dev/null +++ b/data/questions/70/a6/b1cdb060985d.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -5-i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-5,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/a7/28f1230edd8a.json b/data/questions/70/a7/28f1230edd8a.json new file mode 100644 index 0000000000..c8feee6de3 --- /dev/null +++ b/data/questions/70/a7/28f1230edd8a.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $4$ that contains the point $(3,0)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,0],[4,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/ba/214e40bff6b0.json b/data/questions/70/ba/214e40bff6b0.json new file mode 100644 index 0000000000..c857d48254 --- /dev/null +++ b/data/questions/70/ba/214e40bff6b0.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f72cd72e879d0f5df1b5866d97d60e5d26bd4bd","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-3,-1],[1,-1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/c3/276d402ea0a7.json b/data/questions/70/c3/276d402ea0a7.json new file mode 100644 index 0000000000..ad7ed57e27 --- /dev/null +++ b/data/questions/70/c3/276d402ea0a7.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{2}x^2-6x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,6],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/cb/e3f89a38e60f.json b/data/questions/70/cb/e3f89a38e60f.json new file mode 100644 index 0000000000..8b693da601 --- /dev/null +++ b/data/questions/70/cb/e3f89a38e60f.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d918505e522ef82ac66762f934dd483fd89b2392","width":430},"correct":{"coords":[[3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/f0/8c92a94a87d9.json b/data/questions/70/f0/8c92a94a87d9.json new file mode 100644 index 0000000000..8d7f80b076 --- /dev/null +++ b/data/questions/70/f0/8c92a94a87d9.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $1$\n\nPattern $y$: Starting number: $9$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $9$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,9],[4,12],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/70/f2/148763274311.json b/data/questions/70/f2/148763274311.json new file mode 100644 index 0000000000..9363bdf995 --- /dev/null +++ b/data/questions/70/f2/148763274311.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{3}{8}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{3}{8}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=3/8x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,3],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/01/af913be8c352.json b/data/questions/71/01/af913be8c352.json new file mode 100644 index 0000000000..15b87dbb7f --- /dev/null +++ b/data/questions/71/01/af913be8c352.json @@ -0,0 +1 @@ +{"content":"Vijay walks $4$ blocks east. Then he turns $90^\\circ$ left (counterclockwise) and walks $2$ blocks.\n\n**What direction does Vijay end up facing?**\n\n[[☃ radio 1]]\n\nVijay begins at the star. Each square represents $1$ block.\n\n**Place the point where Vijay ends.**\n[[☃ interactive-graph 1]] \n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/6828e6b1035f3905c52c4a4add96109677da4504)\n\n[Do you think this should be split into 2 items?]:","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6828e6b1035f3905c52c4a4add96109677da4504":{"height":170,"width":170}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c5af0e94821f5919f7d23a73697d145a48e371cf","width":400},"correct":{"coords":[[4,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"North","correct":true},{"content":"South","correct":false},{"content":"East","correct":false,"isNoneOfTheAbove":false},{"content":"West","correct":false,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/71/06/78a85e4c90e3.json b/data/questions/71/06/78a85e4c90e3.json new file mode 100644 index 0000000000..07fe2184bf --- /dev/null +++ b/data/questions/71/06/78a85e4c90e3.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the triangle by connecting two black points.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/46be7128c3d241e2f393a4d9c8e50744d0fbbf31.png","width":400},"correct":{"coords":[[-1,-1],[5,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/0d/7b5efa9dfa6a.json b/data/questions/71/0d/7b5efa9dfa6a.json new file mode 100644 index 0000000000..fe32017075 --- /dev/null +++ b/data/questions/71/0d/7b5efa9dfa6a.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac{1}{2}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/11e37fd8ec6fcaea9db4e2bb2fd0b6d751fffe51","width":425},"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/1d/594e23fd87be.json b/data/questions/71/1d/594e23fd87be.json new file mode 100644 index 0000000000..85c8abffee --- /dev/null +++ b/data/questions/71/1d/594e23fd87be.json @@ -0,0 +1 @@ +{"content":"**Construct a $40^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6a9d47bff1d091f5641829ef730c752e47cb1fa5.png":{"height":188,"width":213},"https://ka-perseus-images.s3.amazonaws.com/9b8635d5383360d94418c0785ecac627bf2690b1.png":{"height":207,"width":376}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-6.346730705020751,5.325539393764433],[0,0],[-7.530523827277034,1.7763568394002505e-15]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/1e/e6a80be9602b.json b/data/questions/71/1e/e6a80be9602b.json new file mode 100644 index 0000000000..82334f82fb --- /dev/null +++ b/data/questions/71/1e/e6a80be9602b.json @@ -0,0 +1 @@ +{"content":"crwdns3890743:0{x}crwdnd3890743:0{array}crwdnd3890743:0{rr}crwdnd3890743:0{array}crwdnd3890743:0{v}crwdnd3890743:0{v}crwdnd3890743:0{array}crwdnd3890743:0{r}crwdnd3890743:0{array}crwdne3890743:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/edb99a860e57a48adb26b95121344494550a89f6","width":425},"correct":{"coords":[[[0,0],[-6,-1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/22/ddaab559e131.json b/data/questions/71/22/ddaab559e131.json new file mode 100644 index 0000000000..7c14fc6e5d --- /dev/null +++ b/data/questions/71/22/ddaab559e131.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin(2x-3\\pi)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[3,-2],[3.5,3]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/22/e7de15694b62.json b/data/questions/71/22/e7de15694b62.json new file mode 100644 index 0000000000..01c54a6f2f --- /dev/null +++ b/data/questions/71/22/e7de15694b62.json @@ -0,0 +1 @@ +{"content":"crwdns4242796:0$16$crwdne4242796:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-2,1],[-2,6],[-5,6],[-5,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/29/4388d33496a2.json b/data/questions/71/29/4388d33496a2.json new file mode 100644 index 0000000000..ff148db84c --- /dev/null +++ b/data/questions/71/29/4388d33496a2.json @@ -0,0 +1 @@ +{"content":"crwdns3474924:0crwdne3474924:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/44/07c71dc9ae82.json b/data/questions/71/44/07c71dc9ae82.json new file mode 100644 index 0000000000..a618dfcd45 --- /dev/null +++ b/data/questions/71/44/07c71dc9ae82.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(1.5,3)$ and has a radius of $0.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1.5,3],"radius":0.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/46/39df0e8d286e.json b/data/questions/71/46/39df0e8d286e.json new file mode 100644 index 0000000000..2fb18cbc6d --- /dev/null +++ b/data/questions/71/46/39df0e8d286e.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-4,4)$, and the upper-right coordinates are $(4,4)$. The rectangle has a perimeter of $20$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,2],[4,4],[-4,4],[-4,2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/57/6981a99df532.json b/data/questions/71/57/6981a99df532.json new file mode 100644 index 0000000000..c9f35f66b0 --- /dev/null +++ b/data/questions/71/57/6981a99df532.json @@ -0,0 +1 @@ +{"content":"crwdns6546956:0crwdne6546956:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,8],[3,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/6b/056d46e6952c.json b/data/questions/71/6b/056d46e6952c.json new file mode 100644 index 0000000000..f2d4c3cb3e --- /dev/null +++ b/data/questions/71/6b/056d46e6952c.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(2x^2-9x+7)(x-2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[2,0],[1,0],[3.5,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/72/8e9f5f9335d6.json b/data/questions/71/72/8e9f5f9335d6.json new file mode 100644 index 0000000000..226d8ca62b --- /dev/null +++ b/data/questions/71/72/8e9f5f9335d6.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n\n=====\n\nThe lines $f$ and $g$ are graphed at left in the $xy$-plane. Line $g$ can be written as the equation $y = ax + b$, where $a$ and $b$ are constants. Which of the following equations represents line $f$?\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc":{"height":425,"width":425},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c1587151dba95c3c8ca0d79b4857ae7856a8a4fc":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"graded":true,"options":{"alt":"This graph contains two lines, f and g, in the 'xy'-plane. f goes through the points negative 1 comma 5 and 9 comma negative 2. g goes through the points negative 1 comma negative 5 and 9 comma 2. The two lines cross on the x axis between 6 and 7.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"title":""},"type":"image","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"This equation represents a line with the same slope as the original.","content":"$y = ax - b$","correct":false},{"clue":"This equation represents a line with the same $y$-intercept as the original.","content":"$y = -ax + b$","correct":false},{"content":"$-y = ax + b$","correct":true},{"clue":"This equation represents a line that has slope $\\dfrac 1a$ . This has the same sign as $a$, but the two lines given have slopes that are opposite in sign.","content":"$x = ay + b$","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/71/77/d2f631f23d41.json b/data/questions/71/77/d2f631f23d41.json new file mode 100644 index 0000000000..541e879cc7 --- /dev/null +++ b/data/questions/71/77/d2f631f23d41.json @@ -0,0 +1 @@ +{"content":"Bridget is excited to compete in a $10$-mile race. The race organizers plotted the course on a coordinate map. The starting point is at $(4,1)$, and the ending point is at $(4,11)$. Bridget's family decides to stand at $(4,4)$ on the map. \n\n\n**Plot the starting point, ending point, and place where Bridget's family stands on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Bridget be in the race when she reaches her family?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[4,1],[4,4],[4,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"ĹĽéèśŝśŝ ťțĥȟáàńň ĥȟáàĺľḟẃẁáàý ťțĥȟŕřóòúùĝǧĥȟ ťțĥȟéè ŕřáàćĉéè","correct":true},{"content":"ĤȞáàĺľḟẃẁáàý ťțĥȟŕřóòúùĝǧĥȟ ťțĥȟéè ŕřáàćĉéè"},{"content":"ḾṀóòŕřéè ťțĥȟáàńň ĥȟáàĺľḟẃẁáàý ťțĥȟŕřóòúùĝǧĥȟ ťțĥȟéè ŕřáàćĉéè"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/71/7c/fb7b876e6aec.json b/data/questions/71/7c/fb7b876e6aec.json new file mode 100644 index 0000000000..e1f845c230 --- /dev/null +++ b/data/questions/71/7c/fb7b876e6aec.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/581838072681175938899ea0d1aec8a58f6a24b2","width":425},"correct":{"coords":[[0,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/8d/d8e0407d202e.json b/data/questions/71/8d/d8e0407d202e.json new file mode 100644 index 0000000000..71e7dbc9f9 --- /dev/null +++ b/data/questions/71/8d/d8e0407d202e.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 1$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/95/2c5335ca6838.json b/data/questions/71/95/2c5335ca6838.json new file mode 100644 index 0000000000..5eac91dfd0 --- /dev/null +++ b/data/questions/71/95/2c5335ca6838.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bb706c2b59923fa581b10198d8356b4e19cb2563","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-6,2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/97/8f8e6a963ae5.json b/data/questions/71/97/8f8e6a963ae5.json new file mode 100644 index 0000000000..bd44f4e520 --- /dev/null +++ b/data/questions/71/97/8f8e6a963ae5.json @@ -0,0 +1 @@ +{"content":"crwdns6727198:0$xcrwdne6727198:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,5],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/ac/741b12fe9196.json b/data/questions/71/ac/741b12fe9196.json new file mode 100644 index 0000000000..68973c4276 --- /dev/null +++ b/data/questions/71/ac/741b12fe9196.json @@ -0,0 +1 @@ +{"content":"Consider the following equations (named $R_1$, $R_2$, and $R_3$):\n\n$R_1$$~~~\\rightarrow~~~$$ x + y = 5\\\\$ \n$R_2$$~~~\\rightarrow~~~$$ x - y = 1\\\\$ \n$R_3\n~~~\\rightarrow~~~\n\\begin{align}\\underline{\\begin{align}R_1\\\\+2\\cdot R_2\\end{align}} \\\\\\\\\\\\\\\\ \\end{align}\n~~~\\rightarrow~~~\n~~~\\rightarrow~~~\n$\n\n$\n{\\begin{align} \\underline{\\begin{align} x+y=5 \\\\ 2(x-y)=2(1) \\end{align}} \\\\\\\\\\\\\\\\ \\end{align}}$\n\n**Graph $R_3$.**\n\n[[☃ interactive-graph 1]]\n\n**Do all three lines intersect at the same point?**\n\n[[☃ radio 1]]\n\n**Consider a new equation $(R_4)$ that we get by adding $R_2$ with $3$ times $R_3$. Will $R_1$, $R_2$, and $R_3$ intersect at a single point?**","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns2693864:0crwdne2693864:0","correct":true},{"content":"crwdns2693863:0crwdne2693863:0","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/bc/56815da12e29.json b/data/questions/71/bc/56815da12e29.json new file mode 100644 index 0000000000..9f05c92ddb --- /dev/null +++ b/data/questions/71/bc/56815da12e29.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(1,9)$ and $(3,2)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a82b4098da55c75b68d2c1fd9f348923b8935ccb","width":425},"correct":{"coords":[[[9,1],[2,3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/c2/e9cc561de600.json b/data/questions/71/c2/e9cc561de600.json new file mode 100644 index 0000000000..d2fd419503 --- /dev/null +++ b/data/questions/71/c2/e9cc561de600.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a quadrilateral with vertices at the following points.** \n\n$(−4,9), (-8, 9), (−9,7), (−9,4)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-4,9],[-8,9],[-9,7],[-9,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/71/c6/0eade045f09a.json b/data/questions/71/c6/0eade045f09a.json new file mode 100644 index 0000000000..6ee4ca24ed --- /dev/null +++ b/data/questions/71/c6/0eade045f09a.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=4\\sin(0.5x+\\pi)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-4,-3],[-2,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/c8/7bb5624c4ddf.json b/data/questions/71/c8/7bb5624c4ddf.json new file mode 100644 index 0000000000..ff8ece7258 --- /dev/null +++ b/data/questions/71/c8/7bb5624c4ddf.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=2x^2+12x+10$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-3,-8],[-1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-8},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/ca/fc0bc1ee1b3e.json b/data/questions/71/ca/fc0bc1ee1b3e.json new file mode 100644 index 0000000000..46ae2c0ee3 --- /dev/null +++ b/data/questions/71/ca/fc0bc1ee1b3e.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad -34x-2y=17$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-8.5],[-0.5,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/d2/7459e01618e4.json b/data/questions/71/d2/7459e01618e4.json new file mode 100644 index 0000000000..c52dcd2dfe --- /dev/null +++ b/data/questions/71/d2/7459e01618e4.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(-7,0)$.** \n$$ \n\n\n\n[[☃ image 1]]\n\n**What is located $6$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/abb7badd6d905be6a59bd5e3f7411f460ec8abb0":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":false},{"content":"Point $C$","correct":true}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}},"interaction 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1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":13,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null},{"value":-13,"status":"wrong","message":"Remember that distance should always be positive.","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[-3,-4],[-3,9]]}},"version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[425,425],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/abb7badd6d905be6a59bd5e3f7411f460ec8abb0","width":425,"height":425},"labels":[],"alt":"A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled A is 2 units to the left of and 2 units up from the origin. A solid point, labeled B, is 7 units to the right of and 4 units down from the origin. A solid point labeled C is 7 units to the left of and 6 units down from the origin.","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false}}} diff --git a/data/questions/71/d7/67c532790039.json b/data/questions/71/d7/67c532790039.json new file mode 100644 index 0000000000..60cac17e01 --- /dev/null +++ b/data/questions/71/d7/67c532790039.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/752cf457cbd5ffccb2083eeb8c2c95ce8b617a9a","width":425},"correct":{"coords":[[1,-3],[1,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/d9/23add82af187.json b/data/questions/71/d9/23add82af187.json new file mode 100644 index 0000000000..8084ffce4b --- /dev/null +++ b/data/questions/71/d9/23add82af187.json @@ -0,0 +1 @@ +{"content":"The table uses the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $4$\n\nPattern $y$: Starting number: $4$, Rule: add $2$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n$12$ | $6$ \n [[☃ numeric-input 9]] | $8$\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"numeric-input 9":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":16,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","rightAlign":false,"multipleNumberInput":false},"version":{"major":0,"minor":0}},"interactive-graph 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8":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,20],[-2,20]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[8,4],[12,6],[16,8]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/da/e43a4158121d.json b/data/questions/71/da/e43a4158121d.json new file mode 100644 index 0000000000..8ad63d3f21 --- /dev/null +++ b/data/questions/71/da/e43a4158121d.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/7f36fb700b82514620be8b8e49bf3fb4637c9ac1.png","width":400},"correct":{"coords":[[-1,3],[8,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1.5,8.5],[-2,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/f3/7a1045d6b63f.json b/data/questions/71/f3/7a1045d6b63f.json new file mode 100644 index 0000000000..04589b48f1 --- /dev/null +++ b/data/questions/71/f3/7a1045d6b63f.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-3)^2+(y-7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/71/f3/cd9ea0df3685.json b/data/questions/71/f3/cd9ea0df3685.json new file mode 100644 index 0000000000..5a513eb2a0 --- /dev/null +++ b/data/questions/71/f3/cd9ea0df3685.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\cos\\left(\\dfrac{\\pi}{12}x\\right)+6$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[6,6],[0,7]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null,"width":0,"height":0},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/09/453906c4ff81.json b/data/questions/72/09/453906c4ff81.json new file mode 100644 index 0000000000..5501c6b203 --- /dev/null +++ b/data/questions/72/09/453906c4ff81.json @@ -0,0 +1 @@ +{"content":"**Construct a $10^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/489d2f6dcbd3c6752a8a0460a1d0f51657ec11e2.png":{"height":197,"width":371},"https://ka-perseus-images.s3.amazonaws.com/a0978055414ef8a13fc5b22a76e83614cf19381f.png":{"height":78,"width":216}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.559354702894409,4.6648524807823755]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/0c/89ae07a07e04.json b/data/questions/72/0c/89ae07a07e04.json new file mode 100644 index 0000000000..e3a1e3f5fb --- /dev/null +++ b/data/questions/72/0c/89ae07a07e04.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=3(x+1)^2-2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-2],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/29/e44dfb86f998.json b/data/questions/72/29/e44dfb86f998.json new file mode 100644 index 0000000000..f7834d8ca1 --- /dev/null +++ b/data/questions/72/29/e44dfb86f998.json @@ -0,0 +1 @@ +{"content":"A baby bird jumps from a tree branch and flutters to the ground. The function $f$ models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping.\n\n**Plot the point on the graph of $f$ that corresponds to the bird's height above the ground when it jumped.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd6ed271d8ae39e908e3b4e0f9e6f8d7665dd8cf","width":400},"correct":{"coords":[[0,12]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,1],"labels":["□","□"],"markings":"none","range":[[-2,4],[-4,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/31/d4c87e51dbc5.json b/data/questions/72/31/d4c87e51dbc5.json new file mode 100644 index 0000000000..a468e7d603 --- /dev/null +++ b/data/questions/72/31/d4c87e51dbc5.json @@ -0,0 +1 @@ +{"content":"A battery with $20\\%$ of its full capacity is connected to a charger. Every minute that passes, an additional $5\\%$ of its capacity is charged.\n\n**Graph the relationship between the battery's capacity (in $\\%$ charged) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[0,20],[1,25]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"editableSettings":["graph","snap","image"],"gridStep":[0.5,5],"labels":["Time (minutes)","Capacity (\\%)"],"markings":"graph","range":[[-1,10],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/44/5f34aed20f58.json b/data/questions/72/44/5f34aed20f58.json new file mode 100644 index 0000000000..e1c79848d8 --- /dev/null +++ b/data/questions/72/44/5f34aed20f58.json @@ -0,0 +1 @@ +{"content":"Line segments $\\overline{PO}$ and $\\overline{LY}$ are reflected over the line $y=\\dfrac{1}{4}x+3$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec9db377c855be17a2841116d069c94ee6277951","width":425},"correct":{"coords":[[[-8,5],[8,-2]],[[-7,-1],[-3,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91b9cdea9392fcb822d0365456409475e579472a","width":425},"correct":{"coords":[[[-9,0],[5,5]],[[-7,-1],[-7,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dbac9c0d80eb620ac380f038eed02de1b3295976","width":425},"correct":{"coords":[[[-4,-7],[-4,-9]],[[-6,-4],[3,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3611ecf3d5e92df7d95c5f6f840557d74c5e3d3c","width":425},"correct":{"coords":[[[-3,8],[-9,-5]],[[-4,0],[-3,-7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3611ecf3d5e92df7d95c5f6f840557d74c5e3d3c","width":425},"correct":{"coords":[[[-5,6],[-1,7]],[[9,1],[3,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/4f/63fdf8512b60.json b/data/questions/72/4f/63fdf8512b60.json new file mode 100644 index 0000000000..81789af26e --- /dev/null +++ b/data/questions/72/4f/63fdf8512b60.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5830ac6bfcc380f5d90edd20c90416ed4010dfaf","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","coords":[[0,-1],[4,-1],[1,5],[2,1]],"numSides":4,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/66/17ef4392c114.json b/data/questions/72/66/17ef4392c114.json new file mode 100644 index 0000000000..c8a264682b --- /dev/null +++ b/data/questions/72/66/17ef4392c114.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/118f998cb8acce2412f76f7a8319861a76f711e7","width":400},"correct":{"coords":[[-1,-2]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/6b/a1dfd33dd461.json b/data/questions/72/6b/a1dfd33dd461.json new file mode 100644 index 0000000000..dbc6a66fbe --- /dev/null +++ b/data/questions/72/6b/a1dfd33dd461.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8407f413edfec31cf9186446bc5adf93f7707586","width":430},"correct":{"coords":[[3,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/6b/e7a0d9342075.json b/data/questions/72/6b/e7a0d9342075.json new file mode 100644 index 0000000000..242cbeb0fd --- /dev/null +++ b/data/questions/72/6b/e7a0d9342075.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=3\\sin(2x-\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[1,2],[1.5,5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/6f/3b2fa8a992c0.json b/data/questions/72/6f/3b2fa8a992c0.json new file mode 100644 index 0000000000..ab07951f64 --- /dev/null +++ b/data/questions/72/6f/3b2fa8a992c0.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the dashed, green line segment shown below. \n \n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9782af40bdfc1ae2cb7a19172a00ef4aa2e92f5","width":425},"correct":{"coords":[[[8,3],[5,-2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/79/bf78cbf03331.json b/data/questions/72/79/bf78cbf03331.json new file mode 100644 index 0000000000..289814f844 --- /dev/null +++ b/data/questions/72/79/bf78cbf03331.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=-5|x +2|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,2],[-1,-3]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/7a/b8cdc96ebd2d.json b/data/questions/72/7a/b8cdc96ebd2d.json new file mode 100644 index 0000000000..3b5da0956a --- /dev/null +++ b/data/questions/72/7a/b8cdc96ebd2d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+2)^2+(y+1)^2=49$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-2,-1],"radius":7}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/87/2ad1d043af6e.json b/data/questions/72/87/2ad1d043af6e.json new file mode 100644 index 0000000000..7ed8f40677 --- /dev/null +++ b/data/questions/72/87/2ad1d043af6e.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$12$|$13$|$15$|$16$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/204472f9a09c3dd0c096062d6309745d6e9e4362","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/72/87/ba606c9fa9da.json b/data/questions/72/87/ba606c9fa9da.json new file mode 100644 index 0000000000..9cf6091062 --- /dev/null +++ b/data/questions/72/87/ba606c9fa9da.json @@ -0,0 +1 @@ +{"content":"Bridget is excited to compete in a $10$-mile race. The race organizers plotted the course on a coordinate map. The starting point is at $(4,1)$, and the ending point is at $(4,11)$. Bridget's family decides to stand at $(4,4)$ on the map. \n\n\n**Plot the starting point, ending point, and place where Bridget's family stands on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Bridget be in the race when she reaches her family?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[4,1],[4,4],[4,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Less than halfway through the race","correct":true},{"content":"Halfway through the race"},{"content":"More than halfway through the race"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/72/88/f18a41608afd.json b/data/questions/72/88/f18a41608afd.json new file mode 100644 index 0000000000..f2cba4a38a --- /dev/null +++ b/data/questions/72/88/f18a41608afd.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb9e6939086d4aad4fff70e6878fa43be30e40e0","width":430},"correct":{"coords":[[7,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/8b/c4284f997aff.json b/data/questions/72/8b/c4284f997aff.json new file mode 100644 index 0000000000..1455b6a35b --- /dev/null +++ b/data/questions/72/8b/c4284f997aff.json @@ -0,0 +1 @@ +{"content":"[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[3,-2],[-4,5],[-3,-2]],"type":"polygon"},"graph":{"type":"polygon"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/a5/e0740e14b9b7.json b/data/questions/72/a5/e0740e14b9b7.json new file mode 100644 index 0000000000..41de3c379b --- /dev/null +++ b/data/questions/72/a5/e0740e14b9b7.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(9,1)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9,1]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/b2/8aa77f940ce2.json b/data/questions/72/b2/8aa77f940ce2.json new file mode 100644 index 0000000000..b80c072bd6 --- /dev/null +++ b/data/questions/72/b2/8aa77f940ce2.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x -10y +20=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/c0/6ec13f339ec7.json b/data/questions/72/c0/6ec13f339ec7.json new file mode 100644 index 0000000000..95292c02b2 --- /dev/null +++ b/data/questions/72/c0/6ec13f339ec7.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}0 & 4 \\\\ 5 & 2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}2 \\\\ 5\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a6acfcd193b332780da4d759b06edfaa8aee642b","width":425},"correct":{"coords":[[[0,0],[20,20]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/c7/32b0523fa36e.json b/data/questions/72/c7/32b0523fa36e.json new file mode 100644 index 0000000000..6180175cc5 --- /dev/null +++ b/data/questions/72/c7/32b0523fa36e.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $30^\\circ$, $50^\\circ$, and $100^\\circ$ angles.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-1.22597897987407,-4.1071087758286495],[2.9204199736582312,8.285714285714286],[-4.692746654995757,1.5499745260770013]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/c9/e0fa4384af12.json b/data/questions/72/c9/e0fa4384af12.json new file mode 100644 index 0000000000..3c07f1b7d8 --- /dev/null +++ b/data/questions/72/c9/e0fa4384af12.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=2x^2-8x+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-5],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/cb/06780f0e4e69.json b/data/questions/72/cb/06780f0e4e69.json new file mode 100644 index 0000000000..60b8935e3e --- /dev/null +++ b/data/questions/72/cb/06780f0e4e69.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{29} \\left( \\cos(248 \\degree) + i\\sin(248 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[-2,-5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/d9/8bbfb15d8ff9.json b/data/questions/72/d9/8bbfb15d8ff9.json new file mode 100644 index 0000000000..ba0eda8501 --- /dev/null +++ b/data/questions/72/d9/8bbfb15d8ff9.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=4e^{0.5x-1}-2$ and let $g(x)=\\dfrac45x+1$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $4e^{0.5x-1}-2=\\dfrac45x+1$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[0,1],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0d576246b662a2761e1de12b4c5f3664b4855817","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":2.42},{"maxError":0.5,"message":"We're asked to find the greater of the two solutions. This approximates the lesser solution. ","simplify":"required","status":"wrong","strict":false,"value":-3.4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/de/cd9b7b4c07cc.json b/data/questions/72/de/cd9b7b4c07cc.json new file mode 100644 index 0000000000..6a4ef72b62 --- /dev/null +++ b/data/questions/72/de/cd9b7b4c07cc.json @@ -0,0 +1 @@ +{"content":"The graph below contains rectangle $ABCD$ and the point $P$. \n \n**Draw the image of $ABCD$ under a dilation whose center is $P$ and scale factor is $1\\!\\dfrac{1}{2}$.** \n \n[[☃ interactive-graph 1]] \n \n**What are the lengths of the side $\\overline{AB}$ and its image?** \n\n$\\overline{AB}$ is [[☃ input-number 1]] units long, and its image is [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"6"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/57d794be317ad415cfea97ea2783770d45914eab.png","width":425},"correct":{"coords":[[8,-5],[8,-2],[2,-2],[2,-5]],"numSides":4,"showAngles":false,"type":"polygon"},"graph":{"numSides":4,"showAngles":false,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/e7/6e28932fe248.json b/data/questions/72/e7/6e28932fe248.json new file mode 100644 index 0000000000..8336a8b5e7 --- /dev/null +++ b/data/questions/72/e7/6e28932fe248.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/69cf49b23ee6020b29698bb148db75ade1e519ef","width":400},"correct":{"coords":[[-4,1],[6,-1.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/72/f2/eea534eec27a.json b/data/questions/72/f2/eea534eec27a.json new file mode 100644 index 0000000000..148f6a0493 --- /dev/null +++ b/data/questions/72/f2/eea534eec27a.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a quadrilateral with vertices at the following points.** \n\n$(8,0), (8,7), (0,0), (2,-6)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[8,0],[8,7],[0,0],[2,-6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/02/cdf3235b8aa7.json b/data/questions/73/02/cdf3235b8aa7.json new file mode 100644 index 0000000000..cfba998032 --- /dev/null +++ b/data/questions/73/02/cdf3235b8aa7.json @@ -0,0 +1 @@ +{"content":"The answer is either $5$ or $6$.\n\n**What could it be???**\n\n[[☃ numeric-input 1]]\n\nGraph $y=x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear","absolute_value","exponential","sinusoid","quadratic","tangent"],"correct":{"coords":[[0,0],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"YOU ARE A GOD.","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"No. You are a stupid idiot.","simplify":"required","status":"wrong","strict":false,"value":6},{"maxError":null,"message":"WHAT IS WRONG WITH YOU","simplify":"required","status":"wrong","strict":false,"value":5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/11/5a1386b68050.json b/data/questions/73/11/5a1386b68050.json new file mode 100644 index 0000000000..58add195b1 --- /dev/null +++ b/data/questions/73/11/5a1386b68050.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $2$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/eb3ef6959380d2b2de37ab1f0902af3c201a4ad4","width":400},"correct":{"coords":[[1,-4],[7,4],[-5,6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/18/ca0b1f3b00ea.json b/data/questions/73/18/ca0b1f3b00ea.json new file mode 100644 index 0000000000..cdf946e470 --- /dev/null +++ b/data/questions/73/18/ca0b1f3b00ea.json @@ -0,0 +1 @@ +{"content":"Leben lives at $3^{\\text{rd}}$ Avenue and $1^{\\text{st}}$ Street, represented by the point $(3,1)$ on the map below. Her school is located at $5^{\\text{th}}$ Avenue and $8^{\\text{th}}$ Street, represented by $(5, 8)$ on the map. To get to school, she walks over to $5^{\\text{th}}$ Avenue and up to $8^{\\text{th}}$ Street.\n\n**Plot Leben's home and her school on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Leben walk to get to school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,1],[5,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/30/ac038c204a84.json b/data/questions/73/30/ac038c204a84.json new file mode 100644 index 0000000000..52c38cf955 --- /dev/null +++ b/data/questions/73/30/ac038c204a84.json @@ -0,0 +1 @@ +{"content":"**Select the best interpretation of the following equation.**\n\n$\\qquad \\left\\lvert11 - x\\right\\rvert = \\left\\lvert y - 3\\right\\rvert$\n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/35885f17b49ccb2e1d3d4465a9dd0be1dfc340fc.png":{"height":104,"width":478}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 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1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The distance between $11$ and $x$ is equal to the distance between $y$ and $3$.","correct":true},{"content":"The distance between $11$ and $-x$ is equal to the distance between $y$ and $-3$.","correct":false},{"content":"The distance between $11$ and $y$ is equal to the distance between $-x$ and $-3$.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/33/fa22f41a8aac.json b/data/questions/73/33/fa22f41a8aac.json new file mode 100644 index 0000000000..2bc62865d5 --- /dev/null +++ b/data/questions/73/33/fa22f41a8aac.json @@ -0,0 +1 @@ +{"content":"crwdns3898367:0$ycrwdne3898367:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[1,-7]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/44/4c9def964acf.json b/data/questions/73/44/4c9def964acf.json new file mode 100644 index 0000000000..efe50abf5e --- /dev/null +++ b/data/questions/73/44/4c9def964acf.json @@ -0,0 +1 @@ +{"content":"crwdns3137625:0{A}crwdnd3137625:0{B}crwdnd3137625:0{C}crwdne3137625:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8ad347811cbe61c1ae7e4c628201c7459f0e1678":{"height":425,"width":440}},"widgets":{"interaction 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The following table shows her scores (points) based on the number of targets she hit.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nTargets hit | $1$| $2$| $5$ \nPoints | $3$ | $6$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Natalie's points proportional to the number of targets she hit?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,3],[2,6],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["$\\small{\\text{Targets hit}}$","$\\text{Points}$"],"markings":"graph","range":[[-0.5,7],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/73/9a/9603151b6655.json b/data/questions/73/9a/9603151b6655.json new file mode 100644 index 0000000000..294f8e6379 --- /dev/null +++ b/data/questions/73/9a/9603151b6655.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(-6,-4)$ and $(0,4)$, and base $12$ units long that is parallel to the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-4],[0,4],[6,-4]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/a8/212155b14bb6.json b/data/questions/73/a8/212155b14bb6.json new file mode 100644 index 0000000000..c93433cfd9 --- /dev/null +++ b/data/questions/73/a8/212155b14bb6.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 4+9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[4,9]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/a8/d4d0a63d9244.json b/data/questions/73/a8/d4d0a63d9244.json new file mode 100644 index 0000000000..24e54dc88a --- /dev/null +++ b/data/questions/73/a8/d4d0a63d9244.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{1}{4}x+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,6],[4,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/ab/bbf975a0eb97.json b/data/questions/73/ab/bbf975a0eb97.json new file mode 100644 index 0000000000..b3b19f031e --- /dev/null +++ b/data/questions/73/ab/bbf975a0eb97.json @@ -0,0 +1 @@ +{"content":"crwdns3139209:0$M$crwdnd3139209:0$4$crwdnd3139209:0$Mcrwdne3139209:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/52892ba80119f4cc02f253786c518862bc8b9d77":{"height":425,"width":425}},"widgets":{"interaction 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1":{"graded":true,"options":{"choices":[{"content":"crwdns3139236:0$A$crwdne3139236:0","correct":true},{"content":"crwdns3139237:0$B$crwdne3139237:0","correct":false},{"content":"crwdns3139238:0$C$crwdne3139238:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/b4/c5834d6b4a50.json b/data/questions/73/b4/c5834d6b4a50.json new file mode 100644 index 0000000000..98cc9f9adb --- /dev/null +++ b/data/questions/73/b4/c5834d6b4a50.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 2|x+3|-5, ~~\\text{Domain}~~[-8,4]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-3},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-5},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-8,5],[-3,-5]],[[4,9],[-3,-5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/73/bf/01ccef5b500c.json b/data/questions/73/bf/01ccef5b500c.json new file mode 100644 index 0000000000..f9ef65459e --- /dev/null +++ b/data/questions/73/bf/01ccef5b500c.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 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a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/02e86c434836154389ccb774c05ba7a04b135fd8","width":425},"correct":{"coords":[[-9,-5],[-3,-7],[0,-6],[-4,-9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/cc/86e032d7df70.json b/data/questions/73/cc/86e032d7df70.json new file mode 100644 index 0000000000..a1ec022ca5 --- /dev/null +++ b/data/questions/73/cc/86e032d7df70.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=x(2x+3)(x-1)(x+2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[-1.5,0],[1,0],[-2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/cd/ea12a042fb3c.json b/data/questions/73/cd/ea12a042fb3c.json new file mode 100644 index 0000000000..0b4f03f6b0 --- /dev/null +++ b/data/questions/73/cd/ea12a042fb3c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +6x -10y +18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,5],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/dd/adf619aab80d.json b/data/questions/73/dd/adf619aab80d.json new file mode 100644 index 0000000000..3a98e82c54 --- /dev/null +++ b/data/questions/73/dd/adf619aab80d.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b0ffac78e0024194b91fa2673ff93d86cdfcdeb7","width":400},"correct":{"coords":[[-8,8],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/e8/507b28d54d79.json b/data/questions/73/e8/507b28d54d79.json new file mode 100644 index 0000000000..5ac69aabc1 --- /dev/null +++ b/data/questions/73/e8/507b28d54d79.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about point $P$ with a scale factor of $2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4e4177bca44ef02031937fe3ed932f508051766f","width":400},"correct":{"coords":[[6,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/73/e8/de7e82ad0653.json b/data/questions/73/e8/de7e82ad0653.json new file mode 100644 index 0000000000..0bea82a42f --- /dev/null +++ b/data/questions/73/e8/de7e82ad0653.json @@ -0,0 +1 @@ +{"content":"crwdns3138684:0crwdne3138684:0","images":{"https://ka-perseus-images.s3.amazonaws.com/39906df8e87dc828f9f4b1f62f76f1f5ec141201.png":{"height":248,"width":143},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f1ad8c96fd2cd069e2f38e939d0c94baa568395":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["crwdns3138694:0crwdne3138694:0","crwdns3138734:0crwdne3138734:0"],"left":["crwdns3138671:0{A}crwdne3138671:0","crwdns3138646:0{B}crwdne3138646:0","crwdns3138662:0{C}crwdne3138662:0"],"orderMatters":false,"padding":true,"right":["crwdns3138649:0crwdne3138649:0","$-0.2$","crwdns3138639:0crwdne3138639:0"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/08/e379d7cdb19a.json b/data/questions/74/08/e379d7cdb19a.json new file mode 100644 index 0000000000..6656296311 --- /dev/null +++ b/data/questions/74/08/e379d7cdb19a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(5,-4)$, and which has the point $(1,-1)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/29/7a3eb7b1020a.json b/data/questions/74/29/7a3eb7b1020a.json new file mode 100644 index 0000000000..96b14d40be --- /dev/null +++ b/data/questions/74/29/7a3eb7b1020a.json @@ -0,0 +1 @@ +{"content":"crwdns4069880:0$y$crwdnd4069880:0$ycrwdne4069880:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,5],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/3c/8e29bd9ea7a6.json b/data/questions/74/3c/8e29bd9ea7a6.json new file mode 100644 index 0000000000..2896cdf4ca --- /dev/null +++ b/data/questions/74/3c/8e29bd9ea7a6.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{1}{5}(x+5)^2-2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-2],[0,-7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/66/3ce431e8caa2.json b/data/questions/74/66/3ce431e8caa2.json new file mode 100644 index 0000000000..1aade535aa --- /dev/null +++ b/data/questions/74/66/3ce431e8caa2.json @@ -0,0 +1 @@ +{"content":"**Graph $x=-5$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-5,2],[-5,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/67/a6880f3c5ef4.json b/data/questions/74/67/a6880f3c5ef4.json new file mode 100644 index 0000000000..ef5e4ab2bc --- /dev/null +++ b/data/questions/74/67/a6880f3c5ef4.json @@ -0,0 +1 @@ +{"content":"Wilbur landed his plane, causing it to descend at a rate of $0.2$ kilometers per minute. He reached the ground after $15$ minutes.\n\n**Graph the relationship between the plane's elevation relative to the ground (in kilometers) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[10,1],[15,0]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a50a3a3c361522c8e3251ac2bc923dad74ccd7eb","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,0.25],"labels":["",""],"markings":"none","range":[[-2,20],[-0.5,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,0.25],"step":[2,0.5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/86/753b053339ee.json b/data/questions/74/86/753b053339ee.json new file mode 100644 index 0000000000..ce637be763 --- /dev/null +++ b/data/questions/74/86/753b053339ee.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=5x^2+30x+40$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-3,-5],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-4}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/9f/0ce9871d1c38.json b/data/questions/74/9f/0ce9871d1c38.json new file mode 100644 index 0000000000..4c57b8cc98 --- /dev/null +++ b/data/questions/74/9f/0ce9871d1c38.json @@ -0,0 +1 @@ +{"content":"A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of $6$ centimeters per minute. After $20$ minutes, the water level is $220$ centimeters.\n\n**Graph the relationship between the pool's water level (in centimeters) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[15,190],[20,220]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/329b8ad3b68275b69539cd42272e1121a062967c","width":400},"editableSettings":["graph","snap","image"],"gridStep":[2.5,10],"labels":["",""],"markings":"none","range":[[-5,30],[-20,250]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,10],"step":[5,20],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/a4/ba2b9016d82f.json b/data/questions/74/a4/ba2b9016d82f.json new file mode 100644 index 0000000000..2c352d2dc8 --- /dev/null +++ b/data/questions/74/a4/ba2b9016d82f.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/81ba0cd809b3b4eead16c147700619fb289ed1d1.png":{"height":229,"width":161},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["□□□□□","□□□□□"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-5.75$","$-5\\dfrac12$","$-4\\dfrac14$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/be/5effd3c7ac9f.json b/data/questions/74/be/5effd3c7ac9f.json new file mode 100644 index 0000000000..2fbb01ed7e --- /dev/null +++ b/data/questions/74/be/5effd3c7ac9f.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x -5|$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,0],[6,1]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/c0/ae42a207995d.json b/data/questions/74/c0/ae42a207995d.json new file mode 100644 index 0000000000..4ae1f8e4dd --- /dev/null +++ b/data/questions/74/c0/ae42a207995d.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$1$|$2$|$3$|$4$\n$y$|$0$|$3$|$6$|$9$|$12$\n\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/c5/09e01af02e8f.json b/data/questions/74/c5/09e01af02e8f.json new file mode 100644 index 0000000000..8c6f481cfd --- /dev/null +++ b/data/questions/74/c5/09e01af02e8f.json @@ -0,0 +1 @@ +{"content":"Consider this number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/53b2a4225627f422983fa57766ca82a8c06fe7bd)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]] \n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/f324c87ca23fdee77861c6dd60ed53526a220aeb.png":{"height":230,"width":128},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53b2a4225627f422983fa57766ca82a8c06fe7bd":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 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diff --git a/data/questions/74/dd/b04c1f25789c.json b/data/questions/74/dd/b04c1f25789c.json new file mode 100644 index 0000000000..3de8d56916 --- /dev/null +++ b/data/questions/74/dd/b04c1f25789c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x +8y -5=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/e5/08ce8316c9b7.json b/data/questions/74/e5/08ce8316c9b7.json new file mode 100644 index 0000000000..c4dcee599f --- /dev/null +++ b/data/questions/74/e5/08ce8316c9b7.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=4i$ \n* $ w=-1+2i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]].\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.2},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[0,4],[-0.5,3],[-1,2],[1,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/e5/7820f7aadf6f.json b/data/questions/74/e5/7820f7aadf6f.json new file mode 100644 index 0000000000..a619574fd6 --- /dev/null +++ b/data/questions/74/e5/7820f7aadf6f.json @@ -0,0 +1 @@ +{"content":"crwdns6604764:0crwdne6604764:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7.5,-2],[-3,7],[2,0]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/e6/6394b1e4e625.json b/data/questions/74/e6/6394b1e4e625.json new file mode 100644 index 0000000000..7e4f9b3877 --- /dev/null +++ b/data/questions/74/e6/6394b1e4e625.json @@ -0,0 +1 @@ +{"content":"Consider the following trigonometric function:\n\n$\\qquad f(x)=4\\sin(0.5x+\\pi)-3$\n\n**Graph $f(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-4,-3],[-2,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/e8/0ecaaa0d6bc8.json b/data/questions/74/e8/0ecaaa0d6bc8.json new file mode 100644 index 0000000000..d48c627ad8 --- /dev/null +++ b/data/questions/74/e8/0ecaaa0d6bc8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,0)$, and which has the point $(6,-8)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[0,0],"radius":10,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/ec/a5a4ceb6cfb6.json b/data/questions/74/ec/a5a4ceb6cfb6.json new file mode 100644 index 0000000000..863a1cd9c2 --- /dev/null +++ b/data/questions/74/ec/a5a4ceb6cfb6.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $45^\\circ$, $35^\\circ$, and $100^\\circ$ angles.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-2.7317170022188737,-8.607482496997033],[2.9204199736582312,8.285714285714286],[-6.364571590277721,3.65623545014836]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/74/ee/2d630dbaee26.json b/data/questions/74/ee/2d630dbaee26.json new file mode 100644 index 0000000000..c0762f088d --- /dev/null +++ b/data/questions/74/ee/2d630dbaee26.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$120$|$6$|$24$|$2$|$1$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d2896239bfd9b195b0ce07265fa6e275543a64b3","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-1]],[[-5,0],[5,-4]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/74/f7/41fd76772b52.json b/data/questions/74/f7/41fd76772b52.json new file mode 100644 index 0000000000..63460c555a --- /dev/null +++ b/data/questions/74/f7/41fd76772b52.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=0$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5d7ee7fa3e5049cb0c0c6ca81b47f7c22e18e02c","width":400},"correct":{"coords":[[2,0],[5,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/00/1440c25a6163.json b/data/questions/75/00/1440c25a6163.json new file mode 100644 index 0000000000..afbe32a481 --- /dev/null +++ b/data/questions/75/00/1440c25a6163.json @@ -0,0 +1 @@ +{"content":"**Use the following coordinate plane to write the ordered pair for each point.** \n\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d41559b756f8fd5766498968ec4f23cbd37ec41f)\n\nPoint | Ordered pair\n- | - \n$\\green{A}$ | $($ [[☃ numeric-input 1]] , [[☃ numeric-input 2]] $)$\n$\\purple{B}$| $($ [[☃ numeric-input 3]] , [[☃ numeric-input 4]] $)$\n$\\blue{C}$| $($ [[☃ numeric-input 5]] , [[☃ numeric-input 6]] $)$\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d41559b756f8fd5766498968ec4f23cbd37ec41f":{"height":425,"width":440}},"widgets":{"interaction 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You want to create a large scale drawing of a processor inside a cell phone. The processor is a rectangular chip with side lengths $9.5\\text{ mm}$ and $7.5\\text{ mm}$.\n\n**Create a scale drawing of the processor using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"","scale":".16","bottom":"37","left":"32","width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,20],[-1,20]],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","coords":[[14,3.5],[14,13],[6.5,13],[6.5,3.5]],"match":"similar","numSides":4,"showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/30/2fad477a2bcb.json b/data/questions/75/30/2fad477a2bcb.json new file mode 100644 index 0000000000..457ba297f8 --- /dev/null +++ b/data/questions/75/30/2fad477a2bcb.json @@ -0,0 +1 @@ +{"content":"\n\n[[☃ passage 1]]\n\nCareer | Median annual salary*\n- | - | -\nAssistant pastry chef | $\\$39{,}419$\nPastry chef | $\\$50{,}978$\nExecutive pastry chef | $\\$60{,}480$\n\nSources: Salary.com's January 2014 Survey; Assistant Pastry Chef; Pastry Chef-Casino;Executive Pastry Chef.\n\n*The salary information listed is based on a national average, unless noted. Actual salaries may vary greatly based on specialization within the field, location, years of experience and a variety of other factors. 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The chefs working at the highest levels—Executive and Certified Master Pastry chefs in North America, for example—have attained their titles through an [[1]] __inclusive__ amount of training that requires precise work: sugar pieces, glazes, candies, and doughs all have to be prepared perfectly to produce the finest quality tarts, cakes, mousses, crisps and confits. [[2]] __The intensive certification process to reach the top of this career field is challenging, but executive-level pastry chefs strive to excel.__ \n\nTwo of the highest titles a pastry chef can achieve in North America are Certified Executive Chef (CEF) and Certified Master Pastry Chef (CMPC), granted by the American Culinary [[3]] __Federation, both involve__ a rigorous examination process and numerous prerequisites. The Executive Chef certification, the less prestigious of the two positions with 165 North American pastry chefs holding the title, requires at least three years of practical work experience and over 100 hours of [[4]] __taking classes in__ Nutrition, Management, and Food Safety and Sanitation courses. The examination includes a 90-minute written portion and a four-hour practical portion. This intense work pays off, however: [[5]] __regular pastry chefs earn about $10,000 more a year than assistant pastry chefs.__ \n\nThese high-level chefs take their expertise to exciting heights. [[6]] __Consequently,__ Certified Executive Chef Hilary DeMane has prepared confections for [[7]] __celebrities, governors, and even__ President Ronald Reagan. In addition to corporate posts in some of the world’s most famous hotels and cruise ships, DeMane has also shared her knowledge in the education [[8]] __field for instance,__ she created an International Baking and Pastry program at the Florida Culinary Institute while serving as its Department Chair. \n\nEven more rigorous are the hurdles that pastry chefs must surmount to achieve CMPC status. Only eleven people in the United States currently hold this title. In order to be considered, [[9]] __they__ must endure an eight-day-long practical exam that showcases their culinary skills; the prize affords membership in an elite cadre of pastry professionals and [[10]] __bestows__ valuable name recognition and clout in the culinary world. Climbing to the top of the dessert world is an arduous task, but those who achieve high levels of success receive considerable recognition. This career path is not for everyone as it requires incredible precision under immense pressure, but CEFs and CMPCs often thrive under these conditions. [[11]]\n","passageTitle":"The Top Tiers of Pastry","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/39/adf75266db2f.json b/data/questions/75/39/adf75266db2f.json new file mode 100644 index 0000000000..972f95ed95 --- /dev/null +++ b/data/questions/75/39/adf75266db2f.json @@ -0,0 +1 @@ +{"content":"**$\\triangle ABC$ को $\\triangle A'B'C'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f72cd72e879d0f5df1b5866d97d60e5d26bd4bd","width":425},"correct":{"coords":[[-3,-1],[1,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/41/1e6a8228150b.json b/data/questions/75/41/1e6a8228150b.json new file mode 100644 index 0000000000..11990d6def --- /dev/null +++ b/data/questions/75/41/1e6a8228150b.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=\\dfrac{1}{4}(x -1)(x +7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,-4],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/50/790409928da5.json b/data/questions/75/50/790409928da5.json new file mode 100644 index 0000000000..45f9d7885e --- /dev/null +++ b/data/questions/75/50/790409928da5.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(1,9)$ and $(3,2)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a82b4098da55c75b68d2c1fd9f348923b8935ccb","width":425},"correct":{"coords":[[[9,1],[2,3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/5b/b9708d15c68b.json b/data/questions/75/5b/b9708d15c68b.json new file mode 100644 index 0000000000..c7533fc0ef --- /dev/null +++ b/data/questions/75/5b/b9708d15c68b.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a linear function with domain $x\\geq5$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b093b6311e43ab359b5cb3aa7342d7ccfe237b5","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A ray of a linear function is graphed. The x and g of x axes go from negative 10 to 10. There is a filled circle at the point (5, 4). There is a line extending from this point upwards and to the right terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/c816b2f9b31acb759b81da1b6694dff953d6437b)","correct":true},{"content":"![A ray of a linear function is graphed. The x and g of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (5, 4). There is a line extending from this point upwards and to the right terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/be8641c14b0c205e290fe37be83c18f3d095d5ca)","correct":false},{"content":"![A ray of a linear function is graphed. The x and g of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (5, 4). There is a line extending from this point downwards and to the left terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/3a642e99d2941834d57e69e77ada4c3a62c173f1)","correct":false,"isNoneOfTheAbove":false},{"content":"![A ray of a linear function is graphed. The x and g of x axes go from negative 10 to 10. There is a filled circle at the point (5, 4). There is a line extending from this point downwards and to the left terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/322a38d0b4e7d9401a2704b9f0f5fbf352938e94)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/75/66/ad43720b64c5.json b/data/questions/75/66/ad43720b64c5.json new file mode 100644 index 0000000000..f8226f912e --- /dev/null +++ b/data/questions/75/66/ad43720b64c5.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f\\left(-2x \\right)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"up","correct":false},{"content":"down","correct":true}],"placeholder":"up/down","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"right","correct":true},{"content":"left","correct":false}],"placeholder":"right/left","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-8,-2],[4,1]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[1,1],"filled":true,"type":"point"},{"color":"grayH","coord":[-2,-2],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false,"isNoneOfTheAbove":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/75/66/e71d5a89c450.json b/data/questions/75/66/e71d5a89c450.json new file mode 100644 index 0000000000..5ff37ba065 --- /dev/null +++ b/data/questions/75/66/e71d5a89c450.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-\\dfrac34$ that contains the point $(2,3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[6,0],[2,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/79/70ff4ddaa62a.json b/data/questions/75/79/70ff4ddaa62a.json new file mode 100644 index 0000000000..8a25ae11d2 --- /dev/null +++ b/data/questions/75/79/70ff4ddaa62a.json @@ -0,0 +1 @@ +{"content":"A doctor studying nutrition collected data on the weights (in kilograms) of infants in North Africa. The table below shows the mean weights for infants of different ages in the study.\n \n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Age (months)** | $1$ | $2$ | $3$ | $4$ | $5$ | $6$\n**Weight (kg)** | $4.25$ | $5.0$ | $5.75$ | $6.25$ | $6.75$ |$7.0$\n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Age}$","$\\text{Weight}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,7],[-1,8]],"gridStep":[1,0.5],"snapStep":[0.5,0.25],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,4.25],[2,5],[3,5.75],[4,6.25],[5,6.75],[6,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/85/ad81cb66aa5e.json b/data/questions/75/85/ad81cb66aa5e.json new file mode 100644 index 0000000000..02f1ec2ccb --- /dev/null +++ b/data/questions/75/85/ad81cb66aa5e.json @@ -0,0 +1 @@ +{"content":"The bowling center wants to build its new location halfway between the towns of Bristol and Madison. Bristol is located at $(1,8)$ on the map below. Madison is located at $(9,8)$. \n\n**Plot Bristol, Madison, and the new bowling center on the map.**\n\n[[☃ interactive-graph 1]] \n\n **At what coordinates should the bowling center build its new location? ** \n\n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,8],[9,8],[1,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/86/b12e57d44d5e.json b/data/questions/75/86/b12e57d44d5e.json new file mode 100644 index 0000000000..b3e467798f --- /dev/null +++ b/data/questions/75/86/b12e57d44d5e.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a1c417d2533de29242b0d105c1ec32a8504a666","width":425},"correct":{"coords":[[0,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/87/38e616711a6b.json b/data/questions/75/87/38e616711a6b.json new file mode 100644 index 0000000000..6aa58291f2 --- /dev/null +++ b/data/questions/75/87/38e616711a6b.json @@ -0,0 +1 @@ +{"content":"crwdns4115388:0$y$crwdne4115388:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a35c2a13ef3eec1ba77ab7d0f8af7f021e2e223","width":425},"correct":{"coords":[[6,2],[3,6],[3,4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/92/e9428eca839c.json b/data/questions/75/92/e9428eca839c.json new file mode 100644 index 0000000000..ddf2b527be --- /dev/null +++ b/data/questions/75/92/e9428eca839c.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5830ac6bfcc380f5d90edd20c90416ed4010dfaf","width":425},"correct":{"coords":[[0,-1],[4,-1],[1,5],[2,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/c5/5896ad131e8e.json b/data/questions/75/c5/5896ad131e8e.json new file mode 100644 index 0000000000..f79830572c --- /dev/null +++ b/data/questions/75/c5/5896ad131e8e.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a linear function with a domain of all real values of $x$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b093b6311e43ab359b5cb3aa7342d7ccfe237b5","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A linear function is graphed. The x and h of x axes go from negative 10 to 10. The line has a very steep slope with arrows at the edge of the graph on either end.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/326f0283378d229497faade7c07bd65d6ba5bc54)","correct":true},{"content":"![A linear function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 10, 2) and a line to the right ending in an arrow at the right edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/bedfd5b5c5ad3c7fb1c63479c612ff314ff38b78)","correct":false},{"content":"![A linear function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (10, 4) and a line to the left ending in an arrow at the left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/30caa1f06ce8f2a3579d227991ab01af331b73fd)","correct":false,"isNoneOfTheAbove":false},{"content":"![A linear function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 10, 2) and another filled circle at the point (10, 4). The line segment connects these two points.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/1ec23260df449642eb31a9ff27f193c97dcc0c6c)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/75/cc/a0f0858f294e.json b/data/questions/75/cc/a0f0858f294e.json new file mode 100644 index 0000000000..c5bdc84bb9 --- /dev/null +++ b/data/questions/75/cc/a0f0858f294e.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-4x^2-4x-5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-0.5,-4],[0,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-0.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-4},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/cf/c0f4aef82fb6.json b/data/questions/75/cf/c0f4aef82fb6.json new file mode 100644 index 0000000000..73fe39c19c --- /dev/null +++ b/data/questions/75/cf/c0f4aef82fb6.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-5,1)$ and has a radius of $4$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-5,1],"radius":4}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/da/662d474ae22e.json b/data/questions/75/da/662d474ae22e.json new file mode 100644 index 0000000000..32961afc10 --- /dev/null +++ b/data/questions/75/da/662d474ae22e.json @@ -0,0 +1 @@ +{"content":"crwdns3396752:0{A}crwdnd3396752:0{B}crwdne3396752:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":true},{"content":"crwdns2731610:0crwdne2731610:0","correct":false},{"content":"crwdns2731612:0crwdne2731612:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/dd42acf3c2415e14f48c82ba6ebf257517729582.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-1.0882963141137232,8.088296314113723],[6,1],[-2.5890410580912864,-7.589041058091285]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/da/7c7a3971da98.json b/data/questions/75/da/7c7a3971da98.json new file mode 100644 index 0000000000..7c0d8114cf --- /dev/null +++ b/data/questions/75/da/7c7a3971da98.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/907550ff8795740b91658fa407904f988563e7b7","width":400},"correct":{"coords":[[[5,0],[5,6]],[[5,0],[-1,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/db/ab5ae66b9d8c.json b/data/questions/75/db/ab5ae66b9d8c.json new file mode 100644 index 0000000000..003853affb --- /dev/null +++ b/data/questions/75/db/ab5ae66b9d8c.json @@ -0,0 +1 @@ +{"content":"A system of two linear equations is graphed below.\n\n**Approximate the solution of the system.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/ed4c28eb76e1905d5212819d653e91eca12e60be)","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ed4c28eb76e1905d5212819d653e91eca12e60be":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":"Image must be smaller than 450px x 450px."}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,-4]],[[0,-3],[1,-4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":2.25}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":-3.75}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"simulator 1":{"graded":true,"options":{"numTrials":100,"proportionLabel":"Underlying proportion","proportionOrPercentage":"proportion","xAxisLabel":"Proportion (%)","yAxisLabel":"Number of times seen"},"type":"simulator","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/f9/61b86e9e7424.json b/data/questions/75/f9/61b86e9e7424.json new file mode 100644 index 0000000000..83b2a73c07 --- /dev/null +++ b/data/questions/75/f9/61b86e9e7424.json @@ -0,0 +1 @@ +{"content":"crwdns4128070:0$D$crwdnd4128070:0$3$crwdne4128070:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/49f97cd8b426879299a8aa88e1b58ffff078205a","width":425},"correct":{"coords":[[-6,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/fd/adcbc6d85f6f.json b/data/questions/75/fd/adcbc6d85f6f.json new file mode 100644 index 0000000000..659200243c --- /dev/null +++ b/data/questions/75/fd/adcbc6d85f6f.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $6$ units from Point $\\blueD{B}$ and also share the same $y$-coordinate as Point $\\blueD{B}$.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/faaca03688aa5060cb8b942bc569487278b5ddd5","width":425},"correct":{"coords":[[7,3],[-5,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/75/fd/da421f2a3b51.json b/data/questions/75/fd/da421f2a3b51.json new file mode 100644 index 0000000000..5c76deabe3 --- /dev/null +++ b/data/questions/75/fd/da421f2a3b51.json @@ -0,0 +1 @@ +{"content":"Enrique earns $10$ points for each question that he answers correctly on a geography test.\n\n**Write an equation for the number of points, $y$, Enrique scores on the test when he answers $x$ questions correctly.**\n\n[[☃ expression 2]]\n\n\nOn his first geography test, Enrique answered $3$ questions correctly. On his second test, Enrique answered $7$ questions correctly.\n\n**Place points on the graph to show Enrique's first and second geography test.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=10x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,30],[7,70]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,11],[-1,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/76/02/d5ae31ee979a.json b/data/questions/76/02/d5ae31ee979a.json new file mode 100644 index 0000000000..25780ec64f --- /dev/null +++ b/data/questions/76/02/d5ae31ee979a.json @@ -0,0 +1 @@ +{"content":"crwdns4070494:0$fcrwdnd4070494:0{2}crwdnd4070494:0{3}crwdne4070494:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,6],[-1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/76/07/bc59dd33c89a.json b/data/questions/76/07/bc59dd33c89a.json new file mode 100644 index 0000000000..44ac754d31 --- /dev/null +++ b/data/questions/76/07/bc59dd33c89a.json @@ -0,0 +1 @@ +{"content":"crwdns6420149:0$pcrwdnd6420149:0$x$crwdne6420149:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[-1.5,0],[1,0],[-2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/76/08/64ee50565f03.json b/data/questions/76/08/64ee50565f03.json new file mode 100644 index 0000000000..84b72be421 --- /dev/null +++ b/data/questions/76/08/64ee50565f03.json @@ -0,0 +1 @@ +{"content":"Graph the following system of inequalities:\n\n$\\qquad y\\leq -2x+5$\n\n$\\qquad y < -2x-1$\n\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side buttons for both inequalities* \n\n*Solid/dashed line buttons for both inequalities*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(4,-6)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"height":425,"width":425}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1],[0,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"Be careful to shade the correct sides!","content":"Yes","correct":false},{"content":"No","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/76/0e/0a0ca70873e3.json b/data/questions/76/0e/0a0ca70873e3.json new file mode 100644 index 0000000000..b6bccf854c --- /dev/null +++ b/data/questions/76/0e/0a0ca70873e3.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=-5|x +2|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,2],[-1,-3]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/76/10/9bbdb761a7ca.json b/data/questions/76/10/9bbdb761a7ca.json new file mode 100644 index 0000000000..af48855d91 --- /dev/null +++ b/data/questions/76/10/9bbdb761a7ca.json @@ -0,0 +1 @@ +{"content":"**The pentagon shown in the graph is transformed by matrix $R$. Plot the resulting pentagon.** \n\n$R=\\left[\\begin{array} {ccc}\n1.5 & 0.5 \\\\\n-0.5 & 1.5 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3729cfcbc3d29222e7b91c6c75978a953d55a8da","width":425},"correct":{"coords":[[2,6],[6,3],[3,-1],[0,0],[-2,4]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/76/11/809f12491ec8.json b/data/questions/76/11/809f12491ec8.json new file mode 100644 index 0000000000..fd70dc6591 --- /dev/null +++ b/data/questions/76/11/809f12491ec8.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1906928c70f0606c99e4a3ff2f1c7bc067b696c7.png":{"height":241,"width":144},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-\\dfrac47$","$\\dfrac27$","$1$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/76/22/d9835e6b9e5a.json b/data/questions/76/22/d9835e6b9e5a.json new file mode 100644 index 0000000000..2dac53fcf5 --- /dev/null +++ b/data/questions/76/22/d9835e6b9e5a.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a linear function with range $-5-6$"},{"correct":false,"content":"$x<6$"},{"isNoneOfTheAbove":false,"correct":false,"content":"$x \\geq -6$"},{"isNoneOfTheAbove":false,"correct":false,"content":"$x \\leq 6$"}],"randomize":true,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/7b/18/a891a1b90b20.json b/data/questions/7b/18/a891a1b90b20.json new file mode 100644 index 0000000000..386d3fbe96 --- /dev/null +++ b/data/questions/7b/18/a891a1b90b20.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(−8,9), (−9,7), (−9,4), (−3,5), (−4,9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,9],[-9,7],[-9,4],[-3,5],[-4,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/7b/19/a44e0a735d55.json b/data/questions/7b/19/a44e0a735d55.json new file mode 100644 index 0000000000..e014b106d6 --- /dev/null +++ b/data/questions/7b/19/a44e0a735d55.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cf40e13479f90447d50a3af2fc8aa18aa6dd1e5b","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[8.5,2.5],[-2,-8]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/23/07129ba6ddae.json b/data/questions/7b/23/07129ba6ddae.json new file mode 100644 index 0000000000..b3b5198183 --- /dev/null +++ b/data/questions/7b/23/07129ba6ddae.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9bd9dedf033e1aefcaaf191df17fcf9e237165fc","width":430},"correct":{"coords":[[-4,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/2a/b2d7f1ec911a.json b/data/questions/7b/2a/b2d7f1ec911a.json new file mode 100644 index 0000000000..29367b50e3 --- /dev/null +++ b/data/questions/7b/2a/b2d7f1ec911a.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e98067038068666b3671dbd9dccb8c552c339920","width":430},"correct":{"coords":[[3,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/38/60cfb32022f3.json b/data/questions/7b/38/60cfb32022f3.json new file mode 100644 index 0000000000..6704b1ad80 --- /dev/null +++ b/data/questions/7b/38/60cfb32022f3.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-6,6)$, and the upper-right coordinates are $(1, 6)$. The rectangle has a perimeter of $30$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,-2],[1,6],[-6,6],[-6,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/3a/0b2a18e5717c.json b/data/questions/7b/3a/0b2a18e5717c.json new file mode 100644 index 0000000000..a897ac4fe2 --- /dev/null +++ b/data/questions/7b/3a/0b2a18e5717c.json @@ -0,0 +1 @@ +{"content":"crwdns5193758:0$P$crwdnd5193758:0$y$crwdne5193758:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd58950fe8fbd8112b974a3c7a9c027cb131fc5e","width":425},"correct":{"coords":[[6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/3a/dde9bdfef901.json b/data/questions/7b/3a/dde9bdfef901.json new file mode 100644 index 0000000000..6c8b3c15f8 --- /dev/null +++ b/data/questions/7b/3a/dde9bdfef901.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_2(-x)-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[0,-10],[0,10]],"coords":[[-1,-9],[-8,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/3c/33c388d42308.json b/data/questions/7b/3c/33c388d42308.json new file mode 100644 index 0000000000..453b655041 --- /dev/null +++ b/data/questions/7b/3c/33c388d42308.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e1b3449b2152ccdf6a7b44dbf417286ca8ffdb2a","width":425},"correct":{"coords":[[-3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/42/79fb6a960693.json b/data/questions/7b/42/79fb6a960693.json new file mode 100644 index 0000000000..b59464214b --- /dev/null +++ b/data/questions/7b/42/79fb6a960693.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{BFG}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/43/9c0285fe64dd.json b/data/questions/7b/43/9c0285fe64dd.json new file mode 100644 index 0000000000..b366d68dc8 --- /dev/null +++ b/data/questions/7b/43/9c0285fe64dd.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(16,11)$. The rectangle is $7$ units wide and $4$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea616a3ebe1422bbcfc63c0e9af13f79af9faabb","width":400},"correct":{"coords":[[9,11],[16,7],[9,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,17],[-2,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/44/893af3b03b6f.json b/data/questions/7b/44/893af3b03b6f.json new file mode 100644 index 0000000000..137b240e93 --- /dev/null +++ b/data/questions/7b/44/893af3b03b6f.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $8$ units\n\n\n- Its amplitude is $5.5$ units\n\n\n- It intersects its midline at $(3,-3)$ and then decreases\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[3,-3],[5,-8.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/4e/c7dddff59d5c.json b/data/questions/7b/4e/c7dddff59d5c.json new file mode 100644 index 0000000000..d4ee156907 --- /dev/null +++ b/data/questions/7b/4e/c7dddff59d5c.json @@ -0,0 +1 @@ +{"content":"crwdns3462811:0$hcrwdnd3462811:0{1}crwdnd3462811:0{3}crwdne3462811:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-1],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/51/05e57f77e2aa.json b/data/questions/7b/51/05e57f77e2aa.json new file mode 100644 index 0000000000..eac6a28597 --- /dev/null +++ b/data/questions/7b/51/05e57f77e2aa.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $8$, नियम: $4$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $2$, नियम: $1$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.25},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,2],[12,3],[16,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["8","2"],["12","3"],["16","4"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/5b/faf0db15ae0a.json b/data/questions/7b/5b/faf0db15ae0a.json new file mode 100644 index 0000000000..8066763cf1 --- /dev/null +++ b/data/questions/7b/5b/faf0db15ae0a.json @@ -0,0 +1 @@ +{"content":"Leben lives at $3^{\\text{rd}}$ Avenue and $1^{\\text{st}}$ Street, represented by the point $(3,1)$ on the map below. Her school is located at $5^{\\text{th}}$ Avenue and $8^{\\text{th}}$ Street, represented by $(5, 8)$ on the map. To get to school, she walks over to $5^{\\text{th}}$ Avenue and up to $8^{\\text{th}}$ Street.\n\n**Plot Leben's home and her school on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Leben walk to get to school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,1],[5,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/5f/f519cbe0052e.json b/data/questions/7b/5f/f519cbe0052e.json new file mode 100644 index 0000000000..5a466673b0 --- /dev/null +++ b/data/questions/7b/5f/f519cbe0052e.json @@ -0,0 +1 @@ +{"content":"Harmon works for the city of Tillamook as a concrete resurfacer. He has $18{,}000$ $\\text{kg}$ of concrete for resurfacing streets and parking lots. Each street he resurfaces uses $750$ $\\text{kg}$ of concrete, and each parking lot uses $450$ $\\text{kg}$ of concrete.\n\n**Write an *inequality* that represents the number of streets $(S)$ and parking lots $(P)$ Harmon can resurface with the amount of concrete available.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $P$ on the horizontal axis and $S$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Harmon resurfaces $12$ streets $(S)$, which of the following numbers of parking lots $(P)$ can he resurface without exceeding the amount of concrete available?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"750S+450P<=18000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"750s+450p\\le18000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,24],[40,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,3],"labels":["P","S"],"markings":"graph","range":[[-5,50],[-5,40]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,1.5],"step":[5,6]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$15$","correct":true},{"content":"$17$","correct":true},{"content":"$20$","correct":true},{"content":"$22$","correct":false},{"content":"$24$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/72/fa888c3f96eb.json b/data/questions/7b/72/fa888c3f96eb.json new file mode 100644 index 0000000000..5b03b0fe3a --- /dev/null +++ b/data/questions/7b/72/fa888c3f96eb.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -10x -10y +25=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[5,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/84/6dd292136f06.json b/data/questions/7b/84/6dd292136f06.json new file mode 100644 index 0000000000..1b951e1941 --- /dev/null +++ b/data/questions/7b/84/6dd292136f06.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-2\\cdot 3^x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/91/9120d2305b87.json b/data/questions/7b/91/9120d2305b87.json new file mode 100644 index 0000000000..7330f7bed9 --- /dev/null +++ b/data/questions/7b/91/9120d2305b87.json @@ -0,0 +1 @@ +{"content":"Vector $\\vec v$ is graphed in the interactive graph below.\n\n**Assuming $-2\\vec v$ starts at the origin, plot its endpoint.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f14864cd9e7a48639a9ee9f4d2652d23905e9b64","width":400},"correct":{"coords":[[-6,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/99/7bd3aa88b81d.json b/data/questions/7b/99/7bd3aa88b81d.json new file mode 100644 index 0000000000..58f04c5d8e --- /dev/null +++ b/data/questions/7b/99/7bd3aa88b81d.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $7$ units from Point $\\blueD{C}$ and also share the same $y$-coordinate as Point $\\blueD{C}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4339d27be2c9183c6a87c4e3805a54b257497bef","width":425},"correct":{"coords":[[8,-4],[-6,-4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/9f/78cb870a6d23.json b/data/questions/7b/9f/78cb870a6d23.json new file mode 100644 index 0000000000..d3946528d2 --- /dev/null +++ b/data/questions/7b/9f/78cb870a6d23.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 1+5i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[1,5]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/b0/62673a55908d.json b/data/questions/7b/b0/62673a55908d.json new file mode 100644 index 0000000000..758c61915c --- /dev/null +++ b/data/questions/7b/b0/62673a55908d.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2\\cos\\left(\\dfrac{1}{2}x\\right)-1$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[2,-1],[0,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/be/518cbcef447a.json b/data/questions/7b/be/518cbcef447a.json new file mode 100644 index 0000000000..94cf1c944f --- /dev/null +++ b/data/questions/7b/be/518cbcef447a.json @@ -0,0 +1 @@ +{"content":"**Construct a $155^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[9.042237334209203,-4.783535484203209],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/d2/bef5afdc3882.json b/data/questions/7b/d2/bef5afdc3882.json new file mode 100644 index 0000000000..a437cb7812 --- /dev/null +++ b/data/questions/7b/d2/bef5afdc3882.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with side lengths $12$, $10$, and $10$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15.32960747877035,4.857843140337501],[9.385307705798532,12.899316898862562],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/e2/0975bdd0f861.json b/data/questions/7b/e2/0975bdd0f861.json new file mode 100644 index 0000000000..069aa9d82e --- /dev/null +++ b/data/questions/7b/e2/0975bdd0f861.json @@ -0,0 +1 @@ +{"content":"[Q2] Draw a circle with radius $15$, centered at $(5, 0)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[5,0],"radius":15,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7b/e3/8e691957841b.json b/data/questions/7b/e3/8e691957841b.json new file mode 100644 index 0000000000..78a0cd541c --- /dev/null +++ b/data/questions/7b/e3/8e691957841b.json @@ -0,0 +1 @@ +{"content":"crwdns2975594:0crwdne2975594:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[6.5,0],[0,-4.5],[-5.5,-3.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/7b/fe/43c9886406a6.json b/data/questions/7b/fe/43c9886406a6.json new file mode 100644 index 0000000000..f9671e4f31 --- /dev/null +++ b/data/questions/7b/fe/43c9886406a6.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(−8,9), (−9,7), (−9,4), (−6,1), (−3,5), (−4,9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,9],[-9,7],[-9,4],[-6,1],[-3,5],[-4,9]],"numSides":"unlimited","showAngles":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/7c/09/6601704edadb.json b/data/questions/7c/09/6601704edadb.json new file mode 100644 index 0000000000..6e389d0cdb --- /dev/null +++ b/data/questions/7c/09/6601704edadb.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/531fee4d8bb347641e66571b9e90926fd2866c88","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[4,0],[0,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/09/6fdac937a0c3.json b/data/questions/7c/09/6fdac937a0c3.json new file mode 100644 index 0000000000..338d3c3d2b --- /dev/null +++ b/data/questions/7c/09/6fdac937a0c3.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{7}{2}x$ \n \n \n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/059b8da98ba9ac1badc2f05d991eaf655ccf0101.png":{"height":435,"width":429}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"7"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"14"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,7],[4,14]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,15],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**□□□**. □□□ □□□□□□□□□□□□ □□ □□□□□□□□□□□□.","correct":true},{"content":"**□□**. □□□ □□□□□□□□□□□□ □□ □□□ □□□□□□□□□□□□.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/21/0a9d967145b8.json b/data/questions/7c/21/0a9d967145b8.json new file mode 100644 index 0000000000..93df7ac484 --- /dev/null +++ b/data/questions/7c/21/0a9d967145b8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,-3)$ and has a radius of $6$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[0,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/2a/cc02d6a2a4d7.json b/data/questions/7c/2a/cc02d6a2a4d7.json new file mode 100644 index 0000000000..9a55176e95 --- /dev/null +++ b/data/questions/7c/2a/cc02d6a2a4d7.json @@ -0,0 +1 @@ +{"content":"**Graph $-2x+y=8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,8],[-4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/31/29c610120ca6.json b/data/questions/7c/31/29c610120ca6.json new file mode 100644 index 0000000000..5fe146bf5a --- /dev/null +++ b/data/questions/7c/31/29c610120ca6.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\dfrac{2^x}{x-1}$ and let $g(x)=-4x-2$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\dfrac{2^x}{x-1}=-4x-2$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-1,2],[0,-2]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3d80c21f0e7c97a6bf1cb081c7f01e25fde28721","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":0.659},{"maxError":0.5,"message":"□□'□□ □□□□□ □□ □□□□ □□□ □□□□□□□ □□ □□□ □□□ □□□□□□□□□. □□□□ □□□□□□□□□□□□ □□□ □□□□□□ □□□□□□□□. ","simplify":"required","status":"wrong","strict":false,"value":-0.4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/35/0eadf0e4b63e.json b/data/questions/7c/35/0eadf0e4b63e.json new file mode 100644 index 0000000000..607c303510 --- /dev/null +++ b/data/questions/7c/35/0eadf0e4b63e.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f\\left(-2x \\right)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-8,-2],[4,1]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[1,1],"color":"grayH","filled":true},{"type":"point","coord":[-2,-2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}]},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false}],"randomize":true,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"dropdown 1":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"up/down","choices":[{"content":"up","correct":false},{"content":"down","correct":true}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false},"version":{"major":0,"minor":0}},"dropdown 2":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"right/left","choices":[{"content":"right","correct":true},{"content":"left","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/4c/44083662a3f8.json b/data/questions/7c/4c/44083662a3f8.json new file mode 100644 index 0000000000..524a02b125 --- /dev/null +++ b/data/questions/7c/4c/44083662a3f8.json @@ -0,0 +1 @@ +{"content":"Move the line segment so one endpoint is at $(0, 0)$ and the other is at $(1, 1)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[[0,0],[1,1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/50/17e69d6e4165.json b/data/questions/7c/50/17e69d6e4165.json new file mode 100644 index 0000000000..474a7a4bce --- /dev/null +++ b/data/questions/7c/50/17e69d6e4165.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ead63551f666b766cdd889427cd7d9458a9b0148","width":430},"correct":{"coords":[[-0.5,0.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/5c/57be8528de9e.json b/data/questions/7c/5c/57be8528de9e.json new file mode 100644 index 0000000000..f85016b03c --- /dev/null +++ b/data/questions/7c/5c/57be8528de9e.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$2$|$3$|$4$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a86c03713a29d33e2a5f8d2abfa578594dbba2e0","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,1]],[[-5,-3],[5,-2]],[[-5,-6],[5,-5]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/7c/73/80a5ec591f83.json b/data/questions/7c/73/80a5ec591f83.json new file mode 100644 index 0000000000..caececa22a --- /dev/null +++ b/data/questions/7c/73/80a5ec591f83.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $3$ units from Point $\\blueD{A}$ and also share the same $x$-coordinate as Point $\\blueD{A}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a2ca46b810623b189774509248ad4a21c8bc476","width":425},"correct":{"coords":[[5,3],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/79/d9e90b673be5.json b/data/questions/7c/79/d9e90b673be5.json new file mode 100644 index 0000000000..90bc307b8f --- /dev/null +++ b/data/questions/7c/79/d9e90b673be5.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local disc golf course is shown below. The tee on the first hole is located at the point $(1,2)$. The hole is located at the point $(8,2)$.\n\n**Plot the tee and the hole on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far is the tee from the hole?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,2],[8,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/81/de5071edaa1c.json b/data/questions/7c/81/de5071edaa1c.json new file mode 100644 index 0000000000..32ad87e935 --- /dev/null +++ b/data/questions/7c/81/de5071edaa1c.json @@ -0,0 +1 @@ +{"content":"$\\triangle{SEA}$ is rotated $270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 5":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/df11a4dcfef566134502e6b4fc9091d9bfb35f65","width":425},"correct":{"coords":[[2,7],[-2,7],[2,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/85/a14725febeb8.json b/data/questions/7c/85/a14725febeb8.json new file mode 100644 index 0000000000..a29668b7cf --- /dev/null +++ b/data/questions/7c/85/a14725febeb8.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0bb4a183e2c1692a7dce35914fc63c3d9b74fb15","width":425},"correct":{"coords":[[2,-3],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/88/39748eb5a396.json b/data/questions/7c/88/39748eb5a396.json new file mode 100644 index 0000000000..3fca4cc526 --- /dev/null +++ b/data/questions/7c/88/39748eb5a396.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $30^\\circ$, $115^\\circ$, and $35^\\circ$ angles.**\n\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.640450870633723,2.2429119842261436],[0.13809773490553745,10.91055677536669],[3.699587346119687,2.520213048931131]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/88/f1fcb478d1ff.json b/data/questions/7c/88/f1fcb478d1ff.json new file mode 100644 index 0000000000..356858ddec --- /dev/null +++ b/data/questions/7c/88/f1fcb478d1ff.json @@ -0,0 +1 @@ +{"content":"crwdns6902064:0$hcrwdnd6902064:0{3}crwdne6902064:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-1.5,-3],[-3,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/91/ebb6ddedfd1c.json b/data/questions/7c/91/ebb6ddedfd1c.json new file mode 100644 index 0000000000..ff3d7590da --- /dev/null +++ b/data/questions/7c/91/ebb6ddedfd1c.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x -7,y +1)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5a891fab50b9f3973c6cb8f989b71a29076540fd","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[-1,-4],[-2,-3],[-2,-1],[-7,-2]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/92/27bef3fe6e15.json b/data/questions/7c/92/27bef3fe6e15.json new file mode 100644 index 0000000000..3ec9bc7c15 --- /dev/null +++ b/data/questions/7c/92/27bef3fe6e15.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=5(x+1)^2-3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-1,-3],[0,2]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/99/cc1b531b51c5.json b/data/questions/7c/99/cc1b531b51c5.json new file mode 100644 index 0000000000..56624fdc87 --- /dev/null +++ b/data/questions/7c/99/cc1b531b51c5.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-4,4)$, and the upper-right coordinates are $(4,4)$. The rectangle has a perimeter of $20$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[4,2],[4,4],[-4,4],[-4,2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/a2/1810f51766ba.json b/data/questions/7c/a2/1810f51766ba.json new file mode 100644 index 0000000000..0f32f62739 --- /dev/null +++ b/data/questions/7c/a2/1810f51766ba.json @@ -0,0 +1 @@ +{"content":"crwdns3144315:0{IP}crwdne3144315:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a698fb8019d5d3c8eb1e6dd569140014b1cbc405","width":425},"correct":{"coords":[[[-3,5],[-1,0]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/a7/17603fe0218f.json b/data/questions/7c/a7/17603fe0218f.json new file mode 100644 index 0000000000..f89e5050bd --- /dev/null +++ b/data/questions/7c/a7/17603fe0218f.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe9d0ee00589c15a6dda6e7b802064bbbb25c7e5","width":430},"correct":{"coords":[[0,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/a7/b866b3447263.json b/data/questions/7c/a7/b866b3447263.json new file mode 100644 index 0000000000..53e469e908 --- /dev/null +++ b/data/questions/7c/a7/b866b3447263.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about the origin $(0,0)$ with a scale factor of $4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1ffc29074a7208c1cc4c0f6de72ac9b875be6238","width":425},"correct":{"coords":[[4,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/ba/74cffffa8875.json b/data/questions/7c/ba/74cffffa8875.json new file mode 100644 index 0000000000..5c8eab2b5e --- /dev/null +++ b/data/questions/7c/ba/74cffffa8875.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nHolly swims without a membership. Consider the relationship between the number of days Holly swims and the total cost.\n\n \n**Fill in the table with the missing values.** \n \nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n\n**Is the relationship between the number of days Holly swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/62004949b9136c80c683b8a2acf38ac878ed4c22.png":{"height":428,"width":450}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":0,"scale":"1","url":"","width":0},"correct":{"coords":[[2,4],[1,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\□□□□{□□□□}","\\□□□□{□□□□}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**□□□**. □□□ □□□□□□□□□□□□ □□ □□□□□□□□□□□□.","correct":true},{"content":"**□□**. □□□ □□□□□□□□□□□□ □□ □□□ □□□□□□□□□□□□.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/ba/d272e1811636.json b/data/questions/7c/ba/d272e1811636.json new file mode 100644 index 0000000000..3266be3786 --- /dev/null +++ b/data/questions/7c/ba/d272e1811636.json @@ -0,0 +1 @@ +{"content":"crwdns4070174:0$hcrwdne4070174:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[0,-4],[1,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/be/3c91ee0b03ec.json b/data/questions/7c/be/3c91ee0b03ec.json new file mode 100644 index 0000000000..acaeda5c0d --- /dev/null +++ b/data/questions/7c/be/3c91ee0b03ec.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about point $P$ with a scale factor of $4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e20ecc9ed54fb40c91748aacbb4436b5297f1c5","width":400},"correct":{"coords":[[0,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/c8/991144c32323.json b/data/questions/7c/c8/991144c32323.json new file mode 100644 index 0000000000..6d6f3c6f46 --- /dev/null +++ b/data/questions/7c/c8/991144c32323.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f1ad8c96fd2cd069e2f38e939d0c94baa568395)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/39906df8e87dc828f9f4b1f62f76f1f5ec141201.png":{"height":248,"width":143},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f1ad8c96fd2cd069e2f38e939d0c94baa568395":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["□□□□□","□□□□□"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac25$","$-0.2$","$-\\dfrac45$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/d8/9605693f4e84.json b/data/questions/7c/d8/9605693f4e84.json new file mode 100644 index 0000000000..49dfdfad9c --- /dev/null +++ b/data/questions/7c/d8/9605693f4e84.json @@ -0,0 +1 @@ +{"content":"The following tape diagram describes the relationship between the amount of red paint and the amount of blue paint in a \"Plummy Purple\" paint mix. \n \n![](https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png)\n\n\n**Fill in the table with the missing values.** \n \nRed paint cans | Blue paint cans\n:-: | :-:\n$4$ | [[☃ input-number 1]]\n[[☃ input-number 2]] | $6$ \n \n**Now graph the points listed in the table.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the amount of red paint and the amount of blue paint in a Plummy Purple paint mix proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png":{"height":160,"width":408},"https://ka-perseus-images.s3.amazonaws.com/18a5da55b673792d8cf14e91ccc132c5c81bafb8.png":{"height":436,"width":460}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":451,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/2dd935e55b1b523fd430b684d523a41b86230b8d.png","width":451},"correct":{"coords":[[80,60],[40,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Ýéèśŝ**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":true},{"content":"**ŃŇóò**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ńňóòťț ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/dc/ac1841438c75.json b/data/questions/7c/dc/ac1841438c75.json new file mode 100644 index 0000000000..5d84e01a9f --- /dev/null +++ b/data/questions/7c/dc/ac1841438c75.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{5}x^2+2x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,1],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/e1/a81818ca0aef.json b/data/questions/7c/e1/a81818ca0aef.json new file mode 100644 index 0000000000..29f81fcd8d --- /dev/null +++ b/data/questions/7c/e1/a81818ca0aef.json @@ -0,0 +1 @@ +{"content":"crwdns5574147:0$5$crwdne5574147:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-6,1],[-5,6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/f6/2921e7a4d939.json b/data/questions/7c/f6/2921e7a4d939.json new file mode 100644 index 0000000000..8c59fbc900 --- /dev/null +++ b/data/questions/7c/f6/2921e7a4d939.json @@ -0,0 +1 @@ +{"content":"Tula bakes cookies before hanging out with her friends every week.\n\nShe recorded the amount of sugar she uses (in grams) and how many cookies she made for five different batches.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Sugar (g)** | $350$ | $200$ | $175$ | $300$ | $225$\n**Cookies** | $26$ | $19$ | $15$ | $25$ | $16$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["$\\text{Sugar}$","$\\text{Cookies}$"],"range":[[-25,400],[-2,30]],"step":[50,2],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"point","numPoints":"unlimited"},"valid":true,"correct":{"type":"point","numPoints":"unlimited","coords":[[350,26],[200,19],[175,15],[300,25],[225,16]]},"gridStep":[25,1],"snapStep":[25,1],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7c/f9/fdba268026a7.json b/data/questions/7c/f9/fdba268026a7.json new file mode 100644 index 0000000000..721ca858b7 --- /dev/null +++ b/data/questions/7c/f9/fdba268026a7.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(4,-2)$.** \n$$ \n\n\n\n[[☃ image 1]]\n\n**What is located $2$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled A is 4 units to the right of and 2 units up from the origin. A solid point, labeled B, is 4 units to the left of and 2 units up from the origin. A solid point labeled C is 2 units to the right of and 3 units down from the origin.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a055cbb3b742c9001788e1b3f06e123831e3c73b","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":false},{"content":"Point $C$","correct":false},{"content":"$x$-axis","correct":true},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/16/b82907509eba.json b/data/questions/7d/16/b82907509eba.json new file mode 100644 index 0000000000..d7a1f216fa --- /dev/null +++ b/data/questions/7d/16/b82907509eba.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y -2x = -9}$\n\n$\\qquad\\pink{2y= x-10}$\n\n**Create a new equation by adding the equations together.** \n(Be sure to combine like terms.) \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=-x-1"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/bdb4084f8955f37338299bcf7e84863e2db35b1e.png","width":425},"correct":{"coords":[[0,-1],[6.5,-7.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/1f/55f0be2e71ca.json b/data/questions/7d/1f/55f0be2e71ca.json new file mode 100644 index 0000000000..204b5b24da --- /dev/null +++ b/data/questions/7d/1f/55f0be2e71ca.json @@ -0,0 +1 @@ +{"content":"crwdns2971533:0crwdne2971533:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/907550ff8795740b91658fa407904f988563e7b7","width":400},"correct":{"coords":[[[5,0],[5,6]],[[5,0],[-1,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/26/dc8aa198653f.json b/data/questions/7d/26/dc8aa198653f.json new file mode 100644 index 0000000000..066f5573f8 --- /dev/null +++ b/data/questions/7d/26/dc8aa198653f.json @@ -0,0 +1 @@ +{"content":"**The pentagon shown in the graph is transformed by matrix $R$. Plot the resulting pentagon.** \n\n$R=\\left[\\begin{array} {ccc}\n-1 & 0 \\\\\n0 & 1 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f0f688df89626f8fa49972d22c51ee114cf7e9f0","width":425},"correct":{"coords":[[-1,-6],[1,-6],[2,0],[0,3],[-2,0]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/39/ebd8d559d9f4.json b/data/questions/7d/39/ebd8d559d9f4.json new file mode 100644 index 0000000000..515dbcfd9d --- /dev/null +++ b/data/questions/7d/39/ebd8d559d9f4.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1,7)$, and the upper-right coordinates are $(4,7)$. The rectangle has an area of $20$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"height":425,"width":440}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,3],[4,7],[-1,7],[-1,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/4c/73a76a1eaab2.json b/data/questions/7d/4c/73a76a1eaab2.json new file mode 100644 index 0000000000..d662ec18ca --- /dev/null +++ b/data/questions/7d/4c/73a76a1eaab2.json @@ -0,0 +1 @@ +{"content":"**Construct a $180^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/8ba9a1c7fe79fdc1624d2769481c3ff6ad505501.png":{"height":79,"width":403}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/55/d9cbb3768796.json b/data/questions/7d/55/d9cbb3768796.json new file mode 100644 index 0000000000..2618b85fa7 --- /dev/null +++ b/data/questions/7d/55/d9cbb3768796.json @@ -0,0 +1 @@ +{"content":"crwdns3474912:0crwdne3474912:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/61/baf602b63327.json b/data/questions/7d/61/baf602b63327.json new file mode 100644 index 0000000000..4214997a3a --- /dev/null +++ b/data/questions/7d/61/baf602b63327.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2ad3944ccf689e0fede489fc8a813e17191911a7","width":400},"correct":{"coords":[[[3,2],[5,6]],[[3,2],[-1,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/6e/8afec36c0726.json b/data/questions/7d/6e/8afec36c0726.json new file mode 100644 index 0000000000..0f5852da4c --- /dev/null +++ b/data/questions/7d/6e/8afec36c0726.json @@ -0,0 +1 @@ +{"content":"**Construct a $75^\\circ$ angle.** \n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 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1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/080a86bfaa4d108e99153a8dfc0606a9943a91bf","width":400},"correct":{"coords":[[2,-5],[5,-1],[1,-2]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/81/bcd31d7515a3.json b/data/questions/7d/81/bcd31d7515a3.json new file mode 100644 index 0000000000..181bf6a412 --- /dev/null +++ b/data/questions/7d/81/bcd31d7515a3.json @@ -0,0 +1 @@ +{"content":"crwdns3138691:0crwdne3138691:0","images":{"https://ka-perseus-images.s3.amazonaws.com/1906928c70f0606c99e4a3ff2f1c7bc067b696c7.png":{"height":241,"width":144},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 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1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/86/60a550e0f0c6.json b/data/questions/7d/86/60a550e0f0c6.json new file mode 100644 index 0000000000..7869bf4161 --- /dev/null +++ b/data/questions/7d/86/60a550e0f0c6.json @@ -0,0 +1 @@ +{"content":"crwdns6420647:0$ycrwdne6420647:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[5,-10],[5,10]],"coords":[[7,-4],[6,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/89/741e4c4b6e24.json b/data/questions/7d/89/741e4c4b6e24.json new file mode 100644 index 0000000000..f9c06c2c0b --- /dev/null +++ b/data/questions/7d/89/741e4c4b6e24.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-4x^2+20x-16$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[2.5,9],[4,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e1c1db6af87db73e7f57976c8cfbd0d1202cf9a4","width":425},"correct":{"coords":[[3,-6],[-3,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/96/fb45564195bb.json b/data/questions/7d/96/fb45564195bb.json new file mode 100644 index 0000000000..f2f918c908 --- /dev/null +++ b/data/questions/7d/96/fb45564195bb.json @@ -0,0 +1 @@ +{"content":"crwdns3027432:0crwdne3027432:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 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+{"content":"crwdns3169514:0:--:crwdnd3169514:0:--:crwdnd3169514:0:--:crwdnd3169514:0:--:crwdnd3169514:0:--:crwdnd3169514:0:--:crwdnd3169514:0$1$crwdnd3169514:0$6$crwdnd3169514:0$2$crwdnd3169514:0$7$crwdnd3169514:0$3$crwdnd3169514:0$4$crwdnd3169514:0$60$crwdnd3169514:0$90$crwdnd3169514:0$55$crwdnd3169514:0$95$crwdnd3169514:0$60$crwdnd3169514:0$80$crwdne3169514:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":"1","url":"","width":0},"correct":{"coords":[[3,60],[6,90],[2,55],[4,80],[7,95],[1,60]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,10],"labels":["crwdns3295053:0{Period}crwdne3295053:0","crwdns3295052:0{Avg score}crwdne3295052:0"],"markings":"graph","range":[[-0.7,8],[-10,105]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/a2/3de145ae617b.json b/data/questions/7d/a2/3de145ae617b.json new file mode 100644 index 0000000000..8cf500a366 --- /dev/null +++ b/data/questions/7d/a2/3de145ae617b.json @@ -0,0 +1 @@ +{"content":"crwdns4089705:0$3$crwdnd4089705:0{C}crwdnd4089705:0$y$crwdnd4089705:0{C}crwdne4089705:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/817db13a516f76991ef21cf2b258c9778fdaab6c","width":425},"correct":{"coords":[[-3,-5],[-9,-5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/a2/f9d631395163.json b/data/questions/7d/a2/f9d631395163.json new file mode 100644 index 0000000000..eb6b7eff95 --- /dev/null +++ b/data/questions/7d/a2/f9d631395163.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-x^2-6x-3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,6],[0,-3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/af/bb27aee599d4.json b/data/questions/7d/af/bb27aee599d4.json new file mode 100644 index 0000000000..f9340507ad --- /dev/null +++ b/data/questions/7d/af/bb27aee599d4.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local grocery store is shown below. Ice cream is located at the point $(-8,0)$. Sprinkles are located at the point $(-8,6)$.\n\n**Plot the ice cream and sprinkles on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far is the ice cream from the sprinkles?** \n[[☃ input-number 1]] units\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-8,0],[-8,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/b7/ab7453958036.json b/data/questions/7d/b7/ab7453958036.json new file mode 100644 index 0000000000..7622a819d8 --- /dev/null +++ b/data/questions/7d/b7/ab7453958036.json @@ -0,0 +1 @@ +{"content":"**On the graph below, use the two points to draw a line through the point $(3,-3)$ that will create a system of equations with *infinitely many* solutions.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/34879b415d78420fe70ff13560c16a892939c397.png","width":425},"correct":{"coords":[[6,0],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/7d/c7/dc563698553f.json b/data/questions/7d/c7/dc563698553f.json new file mode 100644 index 0000000000..b7b93a6c92 --- /dev/null +++ b/data/questions/7d/c7/dc563698553f.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{2}{3}(x +1)(x -5)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,6],[-1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/d3/c4c096462fb7.json b/data/questions/7d/d3/c4c096462fb7.json new file mode 100644 index 0000000000..0da0a633e4 --- /dev/null +++ b/data/questions/7d/d3/c4c096462fb7.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $2$. Then add $5$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[1,7],[2,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/ed/24d96e6fcaab.json b/data/questions/7d/ed/24d96e6fcaab.json new file mode 100644 index 0000000000..539a5c0aba --- /dev/null +++ b/data/questions/7d/ed/24d96e6fcaab.json @@ -0,0 +1 @@ +{"content":"The graph below contains the line $\\overleftrightarrow{AB}$, $\\overleftrightarrow{CD}$, and the point $P$. \n \n**Draw the image of $\\overleftrightarrow{AB}$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{2}$.** \n \n[[☃ interactive-graph 1]]\n \n**Which of the following statements about the image of $\\overleftrightarrow{AB}$ are true?** \n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/94587114c0ea241146ba241758fa5bd41aa38681","width":425},"correct":{"coords":[[7,7],[6,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The image is the same line as $\\overleftrightarrow{AB}$.","correct":false},{"content":"The image is a line perpendicular to $\\overleftrightarrow{AB}$.","correct":false},{"content":"The image is a line parallel to $\\overleftrightarrow{AB}$.","correct":true},{"content":"The image is a line perpendicular to $\\overleftrightarrow{CD}$.","isNoneOfTheAbove":false},{"content":"The intersection of the image of $\\overleftrightarrow{AB}$ and $\\overleftrightarrow{CD}$ forms a $103^{\\circ}$ angle.","correct":true,"isNoneOfTheAbove":false},{"content":"The image is a line parallel to $\\overleftrightarrow{CD}$.","isNoneOfTheAbove":false},{"content":"The intersection of the image of $\\overleftrightarrow{AB}$ and $\\overleftrightarrow{CD}$ forms a $125^{\\circ}$ angle.","isNoneOfTheAbove":false},{"content":"The intersection of the image of $\\overleftrightarrow{AB}$ and $\\overleftrightarrow{CD}$ has a corresponding angle congruent to $x$. *(Suppose angle $103^\\circ$ is labeled $x$)*","isNoneOfTheAbove":false},{"content":"","isNoneOfTheAbove":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":true,"multipleSelect":true,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/7d/f9/29d783f771af.json b/data/questions/7d/f9/29d783f771af.json new file mode 100644 index 0000000000..9e6b6b823d --- /dev/null +++ b/data/questions/7d/f9/29d783f771af.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=-2|x -5|-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,-4],[6,-6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7d/fc/8f5ce2ce53b0.json b/data/questions/7d/fc/8f5ce2ce53b0.json new file mode 100644 index 0000000000..b0aa2cd6d4 --- /dev/null +++ b/data/questions/7d/fc/8f5ce2ce53b0.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c9478676bf4d3f13f7a424890e0a06ca34a0010c","width":430},"correct":{"coords":[[3,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/04/aae5209f0e2e.json b/data/questions/7e/04/aae5209f0e2e.json new file mode 100644 index 0000000000..567045b6ac --- /dev/null +++ b/data/questions/7e/04/aae5209f0e2e.json @@ -0,0 +1 @@ +{"content":"crwdns6646114:0$f$crwdnd6646114:0$f$crwdnd6646114:0$6$crwdne6646114:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/194b5225399b37fa6532f3797150909e7dd4240f","width":400},"correct":{"coords":[[14,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,18],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/0e/cd18c1dccb32.json b/data/questions/7e/0e/cd18c1dccb32.json new file mode 100644 index 0000000000..bc4d953ddc --- /dev/null +++ b/data/questions/7e/0e/cd18c1dccb32.json @@ -0,0 +1 @@ +{"content":"**Construct a $135^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/7611383fc5b1e00cf8203424ace9721fd3e123f4.png":{"height":227,"width":401},"https://ka-perseus-images.s3.amazonaws.com/7f12d9ea864c176f2f5dcf0548f5192e86c79e67.png":{"height":193,"width":400}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.888438648072231,-2.1115613519277696],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/0f/513c5b8993d2.json b/data/questions/7e/0f/513c5b8993d2.json new file mode 100644 index 0000000000..7e8217f947 --- /dev/null +++ b/data/questions/7e/0f/513c5b8993d2.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -3-2i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-3,-2]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/21/19251056d4b1.json b/data/questions/7e/21/19251056d4b1.json new file mode 100644 index 0000000000..ceab83e4bf --- /dev/null +++ b/data/questions/7e/21/19251056d4b1.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3+5x^2-2x-5$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-1,0],[1,0],[-2.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/24/7a032bd6f9c0.json b/data/questions/7e/24/7a032bd6f9c0.json new file mode 100644 index 0000000000..e63635bcb5 --- /dev/null +++ b/data/questions/7e/24/7a032bd6f9c0.json @@ -0,0 +1 @@ +{"content":"crwdns4115749:0$Q$crwdne4115749:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a849ff536c19c78369d9bd5c25293b4cf156fe15","width":425},"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/2c/2f658fef9b4c.json b/data/questions/7e/2c/2f658fef9b4c.json new file mode 100644 index 0000000000..b36bee4182 --- /dev/null +++ b/data/questions/7e/2c/2f658fef9b4c.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,0)$ and $(2,-5)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null},{"value":-5,"status":"wrong","message":"Remember that distance should always be positive.","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[2,0],[2,-5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/32/f7996647f2dc.json b/data/questions/7e/32/f7996647f2dc.json new file mode 100644 index 0000000000..c99cd65f35 --- /dev/null +++ b/data/questions/7e/32/f7996647f2dc.json @@ -0,0 +1 @@ +{"content":"Sean tried to drink a slushy as fast as he could. He drank $5$ milliliters of slushy each second and finished all the slushy after $50$ seconds.\n\n**Graph the relationship between the amount of slushy left in the cup (in milliliters) and time (in seconds).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[45,25],[50,0]],"asymptote":null},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-5,55],[-25,275]],"labels":["",""],"step":[5,25],"gridStep":[5,25],"snapStep":[5,25],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b8c9ee6bb5b228a713df62732d57b4a2f2c16ba1","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/36/c195811b1e58.json b/data/questions/7e/36/c195811b1e58.json new file mode 100644 index 0000000000..b741a62ee5 --- /dev/null +++ b/data/questions/7e/36/c195811b1e58.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad5715c11d13cd92df0e9ba05cf362e2945b9684","width":425},"correct":{"coords":[[-2,0],[4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/44/db1b298a654f.json b/data/questions/7e/44/db1b298a654f.json new file mode 100644 index 0000000000..d7fb66b51a --- /dev/null +++ b/data/questions/7e/44/db1b298a654f.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=\\dfrac{1}{8}(x-4)^2-2$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[4,-2],[8,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":0}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/47/128d27d8ae4e.json b/data/questions/7e/47/128d27d8ae4e.json new file mode 100644 index 0000000000..7f75e0a1c1 --- /dev/null +++ b/data/questions/7e/47/128d27d8ae4e.json @@ -0,0 +1 @@ +{"content":"Consider this matrix transformation:\n\n$\\left[\\begin{array}{c}\n1 & -2\n\\\\\\\\\n-3 & 2\n\\end{array}\\right]$\n\nBelow is an interactive graph with the unit square graphed in it.\n\n**Draw the image of the unit square under this transformation.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e39c1c4aea2324861693fd34915606378a180911","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-3],[-1,-1],[-2,2],[0,0]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/48/97c478291e20.json b/data/questions/7e/48/97c478291e20.json new file mode 100644 index 0000000000..740c257c67 --- /dev/null +++ b/data/questions/7e/48/97c478291e20.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=2\\ln(x+4)$ and let $g(x)=\\dfrac23x+1$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\,2\\ln(x+4)=\\dfrac23x+1$, where $x_1=15000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"25m+50p\\ge15000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,300],[600,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[50,50],"labels":["M","P"],"markings":"graph","range":[[-75,700],[-20,350]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[25,25],"step":[100,50]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$100$","correct":false},{"content":"$150$","correct":false},{"content":"$175$","correct":false},{"content":"$225$","correct":false},{"content":"$250$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/e3/59403d931ba6.json b/data/questions/7e/e3/59403d931ba6.json new file mode 100644 index 0000000000..1ce406a3ea --- /dev/null +++ b/data/questions/7e/e3/59403d931ba6.json @@ -0,0 +1 @@ +{"content":"crwdns3138685:0crwdne3138685:0","images":{"https://ka-perseus-images.s3.amazonaws.com/7052632393790eec27a335d6f1e4b6137267dc39.png":{"height":236,"width":125},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/20cb7152ae355802f7fe19491d84021cccd47125":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["crwdns3138694:0crwdne3138694:0","crwdns3138734:0crwdne3138734:0"],"left":["crwdns3138671:0{A}crwdne3138671:0","crwdns3138646:0{B}crwdne3138646:0","crwdns3138662:0{C}crwdne3138662:0"],"orderMatters":false,"padding":true,"right":["crwdns3138598:0crwdne3138598:0","crwdns6444379:0$-0.5$crwdne6444379:0","crwdns3215389:0$2$crwdne3215389:0"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7e/f7/17ffb6084259.json b/data/questions/7e/f7/17ffb6084259.json new file mode 100644 index 0000000000..d1ace9e7f8 --- /dev/null +++ b/data/questions/7e/f7/17ffb6084259.json @@ -0,0 +1 @@ +{"content":"Dudley wants to get in shape. He plans to burn $2000$ calories every week using a combination of the elliptical and the bike machine. The elliptical burns $500$ calories per hour, and the bike machine burns $400$ calories per hour. \n\n**Write an *inequality* that represents the number of hours Dudley must spend on the elliptical $(E)$ and on the bike machine $(B)$ in a week to burn at least $2000$ calories.** \n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $E$ on the horizontal axis and $B$ on the vertical axis.** \n\n[[☃ interactive-graph 1]]\n\n**If Dudley spends $2$ hours on the bike machine $(B)$, which of the following are numbers of hours he can spend on the elliptical trainer $(E)$ to meet or exceed his fitness goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"500E+400B>=2000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"500e+400b\\ge2000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":[],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["E","B"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,7],[-0.5,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,5],[4,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$1.5$","correct":false},{"content":"$2$","correct":false},{"content":"$2.5$","correct":true},{"content":"$3$ ","correct":true},{"content":"$3.5$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/00/775f5d180893.json b/data/questions/7f/00/775f5d180893.json new file mode 100644 index 0000000000..add75a84fd --- /dev/null +++ b/data/questions/7f/00/775f5d180893.json @@ -0,0 +1 @@ +{"content":"Maddie's Minecraft map shows that she is located at the point $(2,4)$ on the coordinate grid below. Her crafting table is located at the point $(8,10)$. She will walk north (up) then east (right) to get to her table. \n\n**Plot where Maddie and her crafting table are on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Maddie walk to get to her crafting table?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":12},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,4],[8,10]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/04/970f7c8c980a.json b/data/questions/7f/04/970f7c8c980a.json new file mode 100644 index 0000000000..343c785dbf --- /dev/null +++ b/data/questions/7f/04/970f7c8c980a.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=-|x -6|+3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[6,3],[7,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/31/a90a7b2140b5.json b/data/questions/7f/31/a90a7b2140b5.json new file mode 100644 index 0000000000..b1b2acfe7d --- /dev/null +++ b/data/questions/7f/31/a90a7b2140b5.json @@ -0,0 +1 @@ +{"content":"Plot this graph at: [0,0],[-5,5],[5,5] \n\n [[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[-5,5],[5,5]],"type":"quadratic"},"graph":{"type":"quadratic"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/36/584ce7fe89cb.json b/data/questions/7f/36/584ce7fe89cb.json new file mode 100644 index 0000000000..6b40cf7358 --- /dev/null +++ b/data/questions/7f/36/584ce7fe89cb.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an acute angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n \n\n[[☃ interactive-graph 1]]\n\nThis is an acute angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":false},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":false},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/a1d82df394366eafd3bf464eaf37869546354d0d.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-2.4714051893622173,-5.4714051893621996],[6,3],[5.999999999999998,-7.001556972217481]],"snapDegrees":2.3684210526315788,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":2.3684210526315788,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/3a/f3dc8deca9a4.json b/data/questions/7f/3a/f3dc8deca9a4.json new file mode 100644 index 0000000000..8d91dd8a24 --- /dev/null +++ b/data/questions/7f/3a/f3dc8deca9a4.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $5$ units to the right and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d5d47639867637e32acd79d9ada9b4aee9512a79","width":425},"correct":{"coords":[[7,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/46/1bb4d3bc6570.json b/data/questions/7f/46/1bb4d3bc6570.json new file mode 100644 index 0000000000..2d820b5246 --- /dev/null +++ b/data/questions/7f/46/1bb4d3bc6570.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $4\\pi$ units\n\n\n- Its amplitude is $1$ unit\n\n\n- It intersects its midline at $\\left(-\\dfrac{5}{2}\\pi,-6.5\\right)$ and then increases\n\n**Graph the function in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-5,-6.5],[-3,-5.5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/48/885aeb859359.json b/data/questions/7f/48/885aeb859359.json new file mode 100644 index 0000000000..e9b130a6cb --- /dev/null +++ b/data/questions/7f/48/885aeb859359.json @@ -0,0 +1 @@ +{"content":"**Graph $y=6\\cos\\left(\\dfrac{\\pi}{4}x\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[2,-2],[0,4]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null,"width":0,"height":0},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/49/ceff919f053e.json b/data/questions/7f/49/ceff919f053e.json new file mode 100644 index 0000000000..e1e50918b9 --- /dev/null +++ b/data/questions/7f/49/ceff919f053e.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/73cc2534df19a4e0f4ac484fd53f88a3434703dd","width":425},"correct":{"coords":[[2,-2],[-8,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/5e/4de5d22d1055.json b/data/questions/7f/5e/4de5d22d1055.json new file mode 100644 index 0000000000..bdc7f35e1b --- /dev/null +++ b/data/questions/7f/5e/4de5d22d1055.json @@ -0,0 +1 @@ +{"content":"**Graph $y=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-5,0],[4,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/72/85e7c8fc10f5.json b/data/questions/7f/72/85e7c8fc10f5.json new file mode 100644 index 0000000000..a4ea1071a8 --- /dev/null +++ b/data/questions/7f/72/85e7c8fc10f5.json @@ -0,0 +1 @@ +{"content":"crwdns3462884:0$ycrwdne3462884:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,5],[5,7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/74/ee61f8a7d533.json b/data/questions/7f/74/ee61f8a7d533.json new file mode 100644 index 0000000000..ba4a253160 --- /dev/null +++ b/data/questions/7f/74/ee61f8a7d533.json @@ -0,0 +1 @@ +{"content":"crwdns3380946:0crwdne3380946:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,0],"radius":10,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/7d/1c1d2427ec8f.json b/data/questions/7f/7d/1c1d2427ec8f.json new file mode 100644 index 0000000000..df6630ef2a --- /dev/null +++ b/data/questions/7f/7d/1c1d2427ec8f.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42b8844cf290cdaffa4dbb4bb5e7cd7026c6f25e","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/80/3c6fd86d0bbb.json b/data/questions/7f/80/3c6fd86d0bbb.json new file mode 100644 index 0000000000..a34298935f --- /dev/null +++ b/data/questions/7f/80/3c6fd86d0bbb.json @@ -0,0 +1 @@ +{"content":"You are a landscape architect. For your first public project you are asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $10\\text{ m}$ and height $15\\text{ m}$.\n\n**Create a scale drawing of the garden using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"","scale":".16","bottom":"37","left":"32","width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,20],[-1,20]],"graph":{"type":"polygon","numSides":3,"showSides":true},"correct":{"type":"polygon","coords":[[13,4],[3,19],[3,4]],"match":"similar","numSides":3,"showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/84/b98eb5f42ac3.json b/data/questions/7f/84/b98eb5f42ac3.json new file mode 100644 index 0000000000..0485dbf9c1 --- /dev/null +++ b/data/questions/7f/84/b98eb5f42ac3.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+6)^2+(y+5)^2=9$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-6,-5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/87/e9aadf06fe51.json b/data/questions/7f/87/e9aadf06fe51.json new file mode 100644 index 0000000000..c9190d9f06 --- /dev/null +++ b/data/questions/7f/87/e9aadf06fe51.json @@ -0,0 +1 @@ +{"content":"Consider the following trigonometric function:\n\n$\\qquad f(x)=3\\cos(\\pi x+4\\pi)+2$\n\n**Graph $f(x)$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3.5,2],[-4,5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/a0/fb5a997e5761.json b/data/questions/7f/a0/fb5a997e5761.json new file mode 100644 index 0000000000..acb5182957 --- /dev/null +++ b/data/questions/7f/a0/fb5a997e5761.json @@ -0,0 +1 @@ +{"content":"**Construct a $130^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[6.662476544422285,-1.0599696426100849],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/b0/057fc6e252e2.json b/data/questions/7f/b0/057fc6e252e2.json new file mode 100644 index 0000000000..0c9a7e0b08 --- /dev/null +++ b/data/questions/7f/b0/057fc6e252e2.json @@ -0,0 +1 @@ +{"content":"**Construct an $85^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/9b909f5ba085dd5832cada37c515600960dda988.png":{"height":392,"width":371}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-0.7183505507981855,-0.7892156326593263],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/7f/b6/68433982ac3a.json b/data/questions/7f/b6/68433982ac3a.json new file mode 100644 index 0000000000..4aef8c7bf6 --- /dev/null +++ b/data/questions/7f/b6/68433982ac3a.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=2^{x^2}$ and let $g(x)=-x+3$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $2^{x^2}=-x+3$, where $x_1","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["crwdns3069026:0crwdne3069026:0","crwdns3154028:0crwdne3154028:0"],"left":["$7 - 9$","crwdns3153934:0crwdne3153934:0","$7 + (-7)$"],"orderMatters":false,"padding":true,"right":["crwdns3154065:0$9$crwdnd3154065:0$7$crwdne3154065:0","crwdns3154056:0$7$crwdnd3154056:0$9$crwdne3154056:0","crwdns3154033:0crwdne3154033:0"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$|a - b| \\cdot |c - d|$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$|a - e|$","$|b - f|$","$|a - c|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/9c/333e214c4bc1.json b/data/questions/88/9c/333e214c4bc1.json new file mode 100644 index 0000000000..dd3952c190 --- /dev/null +++ b/data/questions/88/9c/333e214c4bc1.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-8$|$-5$|$0$|$7$|$0$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe70160792319482e4ccad557ff64244ece26433","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,-5]],[[-5,-6],[5,-2]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/88/9d/78bbbdb27aca.json b/data/questions/88/9d/78bbbdb27aca.json new file mode 100644 index 0000000000..159e0c4b14 --- /dev/null +++ b/data/questions/88/9d/78bbbdb27aca.json @@ -0,0 +1 @@ +{"content":"An office building has the shape of a right rectangular prism with width $20$ meters, length $40$ meters, and height $60$ meters.\n\n![sky scraper](https://ka-perseus-graphie.s3.amazonaws.com/f388ad536b6ffce43eeefc376654ab275c1a3d4b.png)\n\n**Drag the corners of the square below to draw the shape of one floor of the building.**\n\n[[☃ interactive-graph 1]] ","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f388ad536b6ffce43eeefc376654ab275c1a3d4b.png":{"width":400,"height":350}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[5,5],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[0,60],[0,60]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","numSides":4,"coords":[[55,30],[55,50],[15,50],[15,30]],"match":"congruent","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/a9/c33adc1f3c30.json b/data/questions/88/a9/c33adc1f3c30.json new file mode 100644 index 0000000000..bc38276a49 --- /dev/null +++ b/data/questions/88/a9/c33adc1f3c30.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with a side of length $5$ in between two angles that measure approximately $58^\\circ$.** \n \n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.5,1],[-0.5,1],[2,5]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[0.5,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/ad/1fc23583d8f0.json b/data/questions/88/ad/1fc23583d8f0.json new file mode 100644 index 0000000000..38f16b92e3 --- /dev/null +++ b/data/questions/88/ad/1fc23583d8f0.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-5$ that contains the point $(-3,-4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[-4,1],[-3,-4]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/bf/4a6fa7574f5b.json b/data/questions/88/bf/4a6fa7574f5b.json new file mode 100644 index 0000000000..7c3e1fdfda --- /dev/null +++ b/data/questions/88/bf/4a6fa7574f5b.json @@ -0,0 +1 @@ +{"content":"crwdns6347447:0$xcrwdne6347447:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[4,4],[4,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/c5/b30356a6dc19.json b/data/questions/88/c5/b30356a6dc19.json new file mode 100644 index 0000000000..794ea7fe6d --- /dev/null +++ b/data/questions/88/c5/b30356a6dc19.json @@ -0,0 +1 @@ +{"content":"**Construct a $60^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/0faeb26c6f907159fcdd7be63671c3a8794e9715.png":{"height":179,"width":159},"https://ka-perseus-images.s3.amazonaws.com/5b573582c133c63d725827e4420cd59e53ec9e48.png":{"height":342,"width":367}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-1.3706088693859768,-6.6260358009189515],[0,-9],[-3.0571018814524726,-9]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/c9/27a6f0411f4d.json b/data/questions/88/c9/27a6f0411f4d.json new file mode 100644 index 0000000000..1d3155c9c1 --- /dev/null +++ b/data/questions/88/c9/27a6f0411f4d.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(-5, 9), (0, 9), (8, 0), (8, -7), (0, -7), (-5, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,9],[0,9],[8,0],[8,-7],[0,-7],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/88/cb/695f46018ebe.json b/data/questions/88/cb/695f46018ebe.json new file mode 100644 index 0000000000..2100ed06ef --- /dev/null +++ b/data/questions/88/cb/695f46018ebe.json @@ -0,0 +1 @@ +{"content":"Consider this matrix transformation:\n\n$\\left[\\begin{array}{c}\n-2 & 3\n\\\\\\\\\n1 & 2\n\\end{array}\\right]$\n\nBelow is an interactive graph with the unit square graphed in it.\n\n**Draw the image of the unit square under this transformation.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e39c1c4aea2324861693fd34915606378a180911","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[3,2],[1,3],[-2,1],[0,0]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/cd/5195b4209815.json b/data/questions/88/cd/5195b4209815.json new file mode 100644 index 0000000000..5db830a06c --- /dev/null +++ b/data/questions/88/cd/5195b4209815.json @@ -0,0 +1 @@ +{"content":"Jai's school is located at $3^{\\text{rd}}$ Avenue and $10^{\\text{th}}$ Street, represented by the point $(3,10)$ on the map below. His soccer practice takes place at $9^{\\text{th}}$ Avenue and $2^{\\text{nd}}$ Street, represented by $(9, 2)$ on the map. To get to soccer practice after school, he walks down $3^{\\text{rd}}$ Avenue then over on $2^{\\text{nd}}$ Street.\n\n**Plot Jai's school and his soccer practice field on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Jai walk to get to soccer practice after school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":14},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,10],[9,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/d3/cf0ef540fc39.json b/data/questions/88/d3/cf0ef540fc39.json new file mode 100644 index 0000000000..d506d2727b --- /dev/null +++ b/data/questions/88/d3/cf0ef540fc39.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -2x -80=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,0],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/e6/d90a30c830b8.json b/data/questions/88/e6/d90a30c830b8.json new file mode 100644 index 0000000000..51cc0d0722 --- /dev/null +++ b/data/questions/88/e6/d90a30c830b8.json @@ -0,0 +1 @@ +{"content":"Move the line segments to make a square with corners at $(-2, 2)$, $(2, 2)$, $(2, -2)$, and $(-2, -2)$.\n\n[[☃ interactive-graph 1]]\n\nThen enter the number $3$ in this box: [[☃ numeric-input 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-2,2],[2,2]],[[2,2],[2,-2]],[[-2,2],[-2,-2]],[[-2,-2],[2,-2]]],"hasBeenInteractedWith":true,"markings":"graph","numSegments":4,"range":[[-5,5],[-5,5]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"numSegments":4,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"dashed","points":[{"color":"grayH","coord":[-2,2],"filled":true,"type":"point"},{"color":"grayH","coord":[2,2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","kind":"segment","lineStyle":"dashed","points":[{"color":"grayH","coord":[-2,2],"filled":true,"type":"point"},{"color":"grayH","coord":[-2,-2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","kind":"segment","lineStyle":"dashed","points":[{"color":"grayH","coord":[-2,-2],"filled":true,"type":"point"},{"color":"grayH","coord":[2,-2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","kind":"segment","lineStyle":"dashed","points":[{"color":"grayH","coord":[2,-2],"filled":true,"type":"point"},{"color":"grayH","coord":[2,2],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"}],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"The answer is 3 because I said so.","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"The number 3 goes here","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/e8/1f30cec89ae7.json b/data/questions/88/e8/1f30cec89ae7.json new file mode 100644 index 0000000000..0f4d5aa62f --- /dev/null +++ b/data/questions/88/e8/1f30cec89ae7.json @@ -0,0 +1 @@ +{"content":"The graph of the function $h(x)=2|x|$ is shown on the grid below.\n\n**Graph the function $f(x)=2|x-8|+1$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":[],"coords":[[8,1],[7,3]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6fb60e5bad041fe69d3485d52b87030ddcc17ac8","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/ea/d70024e42026.json b/data/questions/88/ea/d70024e42026.json new file mode 100644 index 0000000000..833b0d6dc0 --- /dev/null +++ b/data/questions/88/ea/d70024e42026.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=8\\cdot\\left(\\dfrac{5}{4}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,10],[0,8]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/ec/2b4b7a95379f.json b/data/questions/88/ec/2b4b7a95379f.json new file mode 100644 index 0000000000..0d3e2b5119 --- /dev/null +++ b/data/questions/88/ec/2b4b7a95379f.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(1.5,3)$ and has a radius of $0.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1.5,3],"radius":0.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/f0/f8cf98d59dfc.json b/data/questions/88/f0/f8cf98d59dfc.json new file mode 100644 index 0000000000..20d8c3d3b2 --- /dev/null +++ b/data/questions/88/f0/f8cf98d59dfc.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/581838072681175938899ea0d1aec8a58f6a24b2","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,-6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/f3/4fe1022f09ab.json b/data/questions/88/f3/4fe1022f09ab.json new file mode 100644 index 0000000000..61c6fc93ee --- /dev/null +++ b/data/questions/88/f3/4fe1022f09ab.json @@ -0,0 +1 @@ +{"content":"Equations $R_1$ and $R_2$ form a system. Our goal is to show that a second system ($R_1$ and $R_3$) form a system with the same solutions.\n\n$\\quad$$R_1$$~~~\\rightarrow~~~$$ x + y = 5$ \n$\\quad$$R_2$$~~~\\rightarrow~~~$$ x - y = 1$ \n$\\quad$$R_3$$~~~\\rightarrow~~~$$\\underline{\\begin{align}R_1\\\\+2\\cdot R_2\\end{align}}$ \n$~~~~~~~~~~~~~~~~~~~~$[[☃ expression 1]]\n\n**What is $R_3$? Write your equation in terms of $x$ and $y$.** \n\n\n**Graph $R_3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":""},"type":"expression","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/88/f6/c09293b3b0d0.json b/data/questions/88/f6/c09293b3b0d0.json new file mode 100644 index 0000000000..b500e23c71 --- /dev/null +++ b/data/questions/88/f6/c09293b3b0d0.json @@ -0,0 +1 @@ +{"content":"crwdns3354909:0$m$crwdnd3354909:0$z_1$crwdnd3354909:0$z_2$crwdne3354909:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599c6aecef56b5ca5cc9c222590354c5603561fa","width":430},"correct":{"coords":[[-2,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/0d/2fc7b6ed70f1.json b/data/questions/89/0d/2fc7b6ed70f1.json new file mode 100644 index 0000000000..8a7f00ac5b --- /dev/null +++ b/data/questions/89/0d/2fc7b6ed70f1.json @@ -0,0 +1 @@ +{"content":"crwdns6420145:0$pcrwdnd6420145:0$x$crwdne6420145:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[2,0],[3.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/22/888b2b14cd8d.json b/data/questions/89/22/888b2b14cd8d.json new file mode 100644 index 0000000000..82bc958d36 --- /dev/null +++ b/data/questions/89/22/888b2b14cd8d.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $7$ units to the left and $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a7442066abbbc09098d0ee28cb0442586dfd648","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-2,-5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/3f/c79c04dfb561.json b/data/questions/89/3f/c79c04dfb561.json new file mode 100644 index 0000000000..dbecab6cb7 --- /dev/null +++ b/data/questions/89/3f/c79c04dfb561.json @@ -0,0 +1 @@ +{"content":"see that \\small issue in the editor? Note: if you set the widget into points mode (bottom dropdown), the user is unable to select the number of points.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"point"},"correct":{"type":"point"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/52/85350ae2c4bf.json b/data/questions/89/52/85350ae2c4bf.json new file mode 100644 index 0000000000..d868932386 --- /dev/null +++ b/data/questions/89/52/85350ae2c4bf.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-1,-3)$, and which has the point $(-7,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-1,-3],"radius":6}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/6c/4ab9ec18547d.json b/data/questions/89/6c/4ab9ec18547d.json new file mode 100644 index 0000000000..b4659c9c2d --- /dev/null +++ b/data/questions/89/6c/4ab9ec18547d.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -3-2i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-3,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/6e/2ef50be9fd60.json b/data/questions/89/6e/2ef50be9fd60.json new file mode 100644 index 0000000000..6fd4e1cde6 --- /dev/null +++ b/data/questions/89/6e/2ef50be9fd60.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-6$|$3$|$-6$|$2$|$-6$\n\n**Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93f893be5d4f1d7a3afba7f5cca7c155e1b75863","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/89/72/da0beb82716c.json b/data/questions/89/72/da0beb82716c.json new file mode 100644 index 0000000000..1253f1fbbc --- /dev/null +++ b/data/questions/89/72/da0beb82716c.json @@ -0,0 +1 @@ +{"content":"**The pentagon shown in the graph is transformed by matrix $R$. Plot the resulting pentagon.** \n\n$R=\\left[\\begin{array} {ccc}\n1.5 & 0.5 \\\\\n-0.5 & 1.5 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3729cfcbc3d29222e7b91c6c75978a953d55a8da","width":425},"correct":{"coords":[[2,6],[6,3],[3,-1],[0,0],[-2,4]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/77/0e0140df7029.json b/data/questions/89/77/0e0140df7029.json new file mode 100644 index 0000000000..c94457948a --- /dev/null +++ b/data/questions/89/77/0e0140df7029.json @@ -0,0 +1 @@ +{"content":"crwdns3049600:0crwdne3049600:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[6,-4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9},{"maxError":null,"message":"crwdns3881777:0crwdne3881777:0","simplify":"required","status":"wrong","strict":false,"value":-9}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/8b/488e60c96fb9.json b/data/questions/89/8b/488e60c96fb9.json new file mode 100644 index 0000000000..c64f14e318 --- /dev/null +++ b/data/questions/89/8b/488e60c96fb9.json @@ -0,0 +1 @@ +{"content":"$g(x)=2(x-3)^2-8$\n\n**1) What is the vertex of the function?**\n\n$($ [[☃ numeric-input 1]] $,$ [[☃ numeric-input 2]] $)$\n\n**2) Write one of the function's zeros (either one is accepted).**\n\n$($ [[☃ numeric-input 3]] $,$ [[☃ numeric-input 4]] $)$\n\n**3) Graph the function.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-8],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"x-coordinate of vertex","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-8}],"coefficient":false,"labelText":"y-coordinate of vertex","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1},{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"x-coordinate of zero","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"y-coordinate of zero","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/97/d55a421afd5f.json b/data/questions/89/97/d55a421afd5f.json new file mode 100644 index 0000000000..3b38c785bc --- /dev/null +++ b/data/questions/89/97/d55a421afd5f.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=3$ by placing points in that location. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/79ce7889f7e0c20c8551a139d6fb63ce4f236031","width":400},"correct":{"coords":[[2,3],[-1,3],[3,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/9b/bff5ae109d19.json b/data/questions/89/9b/bff5ae109d19.json new file mode 100644 index 0000000000..93b431a449 --- /dev/null +++ b/data/questions/89/9b/bff5ae109d19.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Add $5$ to $x$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$2$ | [[☃ numeric-input 1]]\n$3$ | [[☃ numeric-input 2]]\n$4$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,7],[3,8],[4,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/a3/a1a87bfc738c.json b/data/questions/89/a3/a1a87bfc738c.json new file mode 100644 index 0000000000..aec2956733 --- /dev/null +++ b/data/questions/89/a3/a1a87bfc738c.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=x+5\n\\\\\\\\\ny=-\\dfrac{3}{4}x-2\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,12]],"gridStep":[1,1],"snapStep":[1,0.5],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,0.5],"coords":[[[0,-2],[-4,1]],[[0,5],[-2,3]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/a8/9723ed30d42f.json b/data/questions/89/a8/9723ed30d42f.json new file mode 100644 index 0000000000..fd9f8acde6 --- /dev/null +++ b/data/questions/89/a8/9723ed30d42f.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8bf7cbeff4f1e2d0b258e258c9269c4c985b34e0","width":430},"correct":{"coords":[[-6,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/ad/9a0eeff50cf0.json b/data/questions/89/ad/9a0eeff50cf0.json new file mode 100644 index 0000000000..9b7ef45e5d --- /dev/null +++ b/data/questions/89/ad/9a0eeff50cf0.json @@ -0,0 +1 @@ +{"content":"Two ordered pairs are shown on a coordinate grid.\n\n**Plot each of these ordered pairs.** \n$\\quad\\bullet\\quad(-a,-b)$ \n$\\quad\\bullet\\quad(-a,b)$ \n$\\quad\\bullet\\quad(c,-d)$ \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/019bbe9e26c59d46ac0cd040b73c3b73ac100bf7.png","width":425},"correct":{"coords":[[-2,-3],[-2,3],[-4,-2]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/af/6e09843f2b13.json b/data/questions/89/af/6e09843f2b13.json new file mode 100644 index 0000000000..61c18eb177 --- /dev/null +++ b/data/questions/89/af/6e09843f2b13.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x+1|+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-1,5],[0,6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/b0/834b12d86dee.json b/data/questions/89/b0/834b12d86dee.json new file mode 100644 index 0000000000..125eb54d4e --- /dev/null +++ b/data/questions/89/b0/834b12d86dee.json @@ -0,0 +1 @@ +{"content":"crwdns3144071:0{BFG}crwdne3144071:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/b0/83c2bb093e0c.json b/data/questions/89/b0/83c2bb093e0c.json new file mode 100644 index 0000000000..87968a8532 --- /dev/null +++ b/data/questions/89/b0/83c2bb093e0c.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/43ff893213c3df88e93b7b00115a42197d8555af","width":430},"correct":{"coords":[[1.5,-2.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/bc/0880025d31d1.json b/data/questions/89/bc/0880025d31d1.json new file mode 100644 index 0000000000..636b5d89a2 --- /dev/null +++ b/data/questions/89/bc/0880025d31d1.json @@ -0,0 +1 @@ +{"content":"**6. Grapher**\n\nMove the points to $(0,4)$ and $(4,0)$\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[1.5,2.5],[4.5,-0.5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/bd/0ce89f52c62d.json b/data/questions/89/bd/0ce89f52c62d.json new file mode 100644 index 0000000000..56b0b6f41c --- /dev/null +++ b/data/questions/89/bd/0ce89f52c62d.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b9c16562ab000e0a54bcfd31d5a442546e182f0","scale":"1","bottom":"0","left":"0","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-3,7],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"segment","numSegments":2},"correct":{"type":"segment","numSegments":2,"coords":[[[3,0],[6,4]],[[-2,0],[3,0]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/be/234008c4161a.json b/data/questions/89/be/234008c4161a.json new file mode 100644 index 0000000000..832057a2c3 --- /dev/null +++ b/data/questions/89/be/234008c4161a.json @@ -0,0 +1 @@ +{"content":"**8. Interactive graph**\n\nPlot the point $(6, 4)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[6,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/da/f5f57156c552.json b/data/questions/89/da/f5f57156c552.json new file mode 100644 index 0000000000..bd26e1b5df --- /dev/null +++ b/data/questions/89/da/f5f57156c552.json @@ -0,0 +1 @@ +{"content":"enter a number between 6.68 and 6.69\n\n[[☃ numeric-input 1]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/af511c3691e8761d702798d3031237e84156e053)","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/af511c3691e8761d702798d3031237e84156e053":{"height":267,"width":400}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"rational","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"accepted","status":"wrong","strict":false,"value":6},{"maxError":null,"message":"","simplify":"required","status":"wrong","strict":false,"value":7},{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":6.5}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/89/f8/1a6e6adc28d2.json b/data/questions/89/f8/1a6e6adc28d2.json new file mode 100644 index 0000000000..ecfc02eb07 --- /dev/null +++ b/data/questions/89/f8/1a6e6adc28d2.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{2}x^2-6x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,6],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/00/53ff1229f591.json b/data/questions/8a/00/53ff1229f591.json new file mode 100644 index 0000000000..c4dd278647 --- /dev/null +++ b/data/questions/8a/00/53ff1229f591.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $2$ apples cost $\\$3$. You can buy $6$ apples for $\\$9$. \n \n\n \n**Graph the points described by the given information.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/89893001db81c6a44139e600d854c6a88587cde7.png":{"height":437,"width":444}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[20,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["x","y"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/06/7d4fb43f40da.json b/data/questions/8a/06/7d4fb43f40da.json new file mode 100644 index 0000000000..7707a71f3b --- /dev/null +++ b/data/questions/8a/06/7d4fb43f40da.json @@ -0,0 +1 @@ +{"content":"**Graph $-7x+5y=35$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,7],[-5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/06/f496cb7adf15.json b/data/questions/8a/06/f496cb7adf15.json new file mode 100644 index 0000000000..deec9ec587 --- /dev/null +++ b/data/questions/8a/06/f496cb7adf15.json @@ -0,0 +1 @@ +{"content":"**Which of the following is a correct interpretation of the expression $-2 + (-7)$?**\n\n[[☃ radio 1]]\n\n[[☃ image 1]]\n\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/e04144f0a5803039dd64c42ac3e47e3dc5df9588.png":{"width":460,"height":80}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"The number that is $2$ to the *left* of $7$ on the number line","correct":false},{"content":"The number that is $2$ to the *right* of $7$ on the number line","correct":false},{"content":"The number that is $7$ to the *left* of $-2$ on the number line","correct":true},{"content":"The number that is $7$ to the *right* of $-2$ on the number line","correct":false}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true},"version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[460,80],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/e04144f0a5803039dd64c42ac3e47e3dc5df9588.png","width":460,"height":80},"labels":[],"alt":"A number line with a tick in the middle labeled as 0. A negative sign is above the left arrowhead, and a positive sign is above the right arrowhead of the number line.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false}}} diff --git a/data/questions/8a/11/0a5b0db552fd.json b/data/questions/8a/11/0a5b0db552fd.json new file mode 100644 index 0000000000..f109c42d08 --- /dev/null +++ b/data/questions/8a/11/0a5b0db552fd.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(9,6)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9,6]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/12/03ff259cc846.json b/data/questions/8a/12/03ff259cc846.json new file mode 100644 index 0000000000..8fb63944b0 --- /dev/null +++ b/data/questions/8a/12/03ff259cc846.json @@ -0,0 +1 @@ +{"content":"**In the interactive graph below, use the points to draw a line through the point $(5,3)$ in order to construct a system of linear equations with no solutions.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9886c7d1740ac0ea8d2fa33e57f9e55464ce57f8","width":425},"correct":{"coords":[[5,-3],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/2b/a2addf566028.json b/data/questions/8a/2b/a2addf566028.json new file mode 100644 index 0000000000..6fc315f63a --- /dev/null +++ b/data/questions/8a/2b/a2addf566028.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[1,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/2f/e8a5a9065e1d.json b/data/questions/8a/2f/e8a5a9065e1d.json new file mode 100644 index 0000000000..5ab1d1b8f8 --- /dev/null +++ b/data/questions/8a/2f/e8a5a9065e1d.json @@ -0,0 +1 @@ +{"content":"**Graph $y=0.4x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"ŤŢĥȟéè éèʠúùáàťțíìóòńň ŕřéèṕṗŕřéèśŝéèńňťțśŝ áà ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $0.4$.\n","correct":true},{"content":"The slope of the line is $0.4$.","correct":true},{"content":" A change of $2$ units in $x$ results in a change of $0.2$ units in $y$.","correct":false},{"content":" A change of $3$ units in $x$ results in a change of $1.2$ units in $y$.","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/33/7e3faa369c3b.json b/data/questions/8a/33/7e3faa369c3b.json new file mode 100644 index 0000000000..f908213f6b --- /dev/null +++ b/data/questions/8a/33/7e3faa369c3b.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& 21x+7y=42\n\\\\\\\\\n& -5x+5y=10\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,6],[2,0]],[[0,2],[-2,0]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"input answer","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"input answer","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/34/ac27a3d3d540.json b/data/questions/8a/34/ac27a3d3d540.json new file mode 100644 index 0000000000..8beca827f6 --- /dev/null +++ b/data/questions/8a/34/ac27a3d3d540.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4x^2+8x+7$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,3],[0,7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/38/f42ebd1e51c2.json b/data/questions/8a/38/f42ebd1e51c2.json new file mode 100644 index 0000000000..58b655a8d8 --- /dev/null +++ b/data/questions/8a/38/f42ebd1e51c2.json @@ -0,0 +1 @@ +{"content":"**Graph $y = 5-\\dfrac{4}{7}x$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,5],[7,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/39/dd483c3a23c6.json b/data/questions/8a/39/dd483c3a23c6.json new file mode 100644 index 0000000000..f9b1b9c00d --- /dev/null +++ b/data/questions/8a/39/dd483c3a23c6.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac13$ that contains the point $(6,2)$.**\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[6,2],[3,1]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/44/3f96bd8e8ee8.json b/data/questions/8a/44/3f96bd8e8ee8.json new file mode 100644 index 0000000000..d19c8b115f --- /dev/null +++ b/data/questions/8a/44/3f96bd8e8ee8.json @@ -0,0 +1 @@ +{"content":"crwdns4116738:0{NOW}crwdne4116738:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b448d794b2abfc5f18e1e8f037f0c246bc166f71","width":425},"correct":{"coords":[[3,-7],[-1,-2],[-4,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/46/9c77735580ea.json b/data/questions/8a/46/9c77735580ea.json new file mode 100644 index 0000000000..ad5d4a718f --- /dev/null +++ b/data/questions/8a/46/9c77735580ea.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\log_2(x-1)-x$ and let $g(x)=3(x-5)^2-8$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\log_2(x-1)-x=3(x-5)^2-8$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[5,-8],[4,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd7d19f90bcc0ea5a681d47aa9b9f4eb4dcb650","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":6.182},{"maxError":0.5,"message":"ẂẀéè'ŕřéè áàśŝķḱéèďđ ťțóò ḟíìńňďđ ťțĥȟéè ĝǧŕřéèáàťțéèŕř óòḟ ťțĥȟéè ťțẃẁóò śŝóòĺľúùťțíìóòńňśŝ. ŤŢĥȟíìśŝ áàṕṗṕṗŕřóòẍẋíìḿṁáàťțéèśŝ ťțĥȟéè ĺľéèśŝśŝéèŕř śŝóòĺľúùťțíìóòńň. ","simplify":"required","status":"wrong","strict":false,"value":3.6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/48/dc84f37cad98.json b/data/questions/8a/48/dc84f37cad98.json new file mode 100644 index 0000000000..9f6b75a22c --- /dev/null +++ b/data/questions/8a/48/dc84f37cad98.json @@ -0,0 +1 @@ +{"content":"Jane earns money walking dogs on the weekends. Jane charges $\\$5$ for each dog she walks.\n\n**Complete the table for the given ratio.** \n \nDogs, $x$ | Charge in dollars, $y$ \n:-: | :-: \n$1$ | $5$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4eebd96c4b33bb41efce316c36e4a882ded448c4","width":425},"correct":{"coords":[[3,15],[5,25]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["x","y"],"markings":"none","range":[[-1,7],[-4,35]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"charge for 3 dogs","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":25}],"coefficient":false,"labelText":"charge for 5 dogs","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/4d/697c0c015c64.json b/data/questions/8a/4d/697c0c015c64.json new file mode 100644 index 0000000000..8fc11bfa50 --- /dev/null +++ b/data/questions/8a/4d/697c0c015c64.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+(y-1)^2=64$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,1],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/4e/405f54eb138a.json b/data/questions/8a/4e/405f54eb138a.json new file mode 100644 index 0000000000..45c2d24dff --- /dev/null +++ b/data/questions/8a/4e/405f54eb138a.json @@ -0,0 +1 @@ +{"content":"A baker uses $8$ cups of flour to make $1$ batch of muffins for his bakery.\n\n**Complete the table for the given ratio.** \n \nBatches, $x$ | Flour (cups), $y$ \n:-: | :-: \n$1$ | $8$\n$2$| [[☃ numeric-input 3]]\n$3$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,8],[2,16],[3,24]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-2,26]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":24}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/50/3492b28a64d7.json b/data/questions/8a/50/3492b28a64d7.json new file mode 100644 index 0000000000..4dcb3395a3 --- /dev/null +++ b/data/questions/8a/50/3492b28a64d7.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of days after today, and the $y$-axis represents the temperature forecast in degrees Celsius. The points $(3,7)$ and $(3,-3)$ represent the high and low temperature forecasts of the same day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**What is the difference between the high and the low temperature forecasts?** \n\n[[☃ input-number 1]] degrees Celsius\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,-3],[3,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[0.5,1],"labels":["□ (\\□□□□{□□□□})","□ (^\\□□□□\\□□□□{□})"],"markings":"graph","range":[[-2,8],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/57/716a17915a0c.json b/data/questions/8a/57/716a17915a0c.json new file mode 100644 index 0000000000..524fef04ac --- /dev/null +++ b/data/questions/8a/57/716a17915a0c.json @@ -0,0 +1 @@ +{"content":"A doctor studying nutrition collected data on the weights (in kilograms) of infants in North Africa. The table below shows the mean weights for infants of different ages in the study.\n \n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Age (months)** | $1$ | $2$ | $3$ | $4$ | $5$ | $6$\n**Weight (kg)** | $4.25$ | $5.0$ | $5.75$ | $6.25$ | $6.75$ |$7.0$\n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,4.25],[2,5],[3,5.75],[4,6.25],[5,6.75],[6,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,0.5],"labels":["$\\text{Age}$","$\\text{Weight}$"],"markings":"graph","range":[[-0.5,7],[-1,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/71/2f573e4dcbed.json b/data/questions/8a/71/2f573e4dcbed.json new file mode 100644 index 0000000000..08e1b1cf78 --- /dev/null +++ b/data/questions/8a/71/2f573e4dcbed.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-3$ that contains the point $(4, -2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[5,-5],[4,-2]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/7f/9ff1e7912470.json b/data/questions/8a/7f/9ff1e7912470.json new file mode 100644 index 0000000000..c057799b42 --- /dev/null +++ b/data/questions/8a/7f/9ff1e7912470.json @@ -0,0 +1 @@ +{"content":"Malaya has $4$ books checked out from the library. In the graph below, the variable $b$ represents the number of books Malaya decides to check out on her next library visit (she doesn't return any). The variable $t$ represents the total number of books Malaya has checked out from the library. \n\nThe relationship between these two variables can be expressed by the following equation:\n\n$t = 4+b$\n\n**Plot points on the graph that show the total number of books Malaya will have checked out from the library if she gets $2$ books or $5$ books on her next library visit.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[2,6],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\text{New books}","\\text{Total books}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/89/83c3ee6dce97.json b/data/questions/8a/89/83c3ee6dce97.json new file mode 100644 index 0000000000..164c8f6778 --- /dev/null +++ b/data/questions/8a/89/83c3ee6dce97.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ee0aa0028cb30e9cb785d6a703e443c9da5d8430","width":430},"correct":{"coords":[[8,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/a2/c17f6c1ff414.json b/data/questions/8a/a2/c17f6c1ff414.json new file mode 100644 index 0000000000..f3b645294b --- /dev/null +++ b/data/questions/8a/a2/c17f6c1ff414.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/a4/16ea2a156425.json b/data/questions/8a/a4/16ea2a156425.json new file mode 100644 index 0000000000..bd1d07c701 --- /dev/null +++ b/data/questions/8a/a4/16ea2a156425.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3+4x^2-6x$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[1,0],[-3,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/ac/94546881ed12.json b/data/questions/8a/ac/94546881ed12.json new file mode 100644 index 0000000000..016827e3c4 --- /dev/null +++ b/data/questions/8a/ac/94546881ed12.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$1$|$25$|$4$|$4$|$25$\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n[[☃ radio 2]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/92eccab0edfb33247074989283fce477c5727d8b","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,1]],[[-5,-3],[5,1]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8a/b1/080c99791dbc.json b/data/questions/8a/b1/080c99791dbc.json new file mode 100644 index 0000000000..dc20452688 --- /dev/null +++ b/data/questions/8a/b1/080c99791dbc.json @@ -0,0 +1 @@ +{"content":"crwdns6902028:0$ycrwdnd6902028:0{1}crwdnd6902028:0{6}crwdne6902028:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,-5],[0,-7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/b6/5b3053610e72.json b/data/questions/8a/b6/5b3053610e72.json new file mode 100644 index 0000000000..0833835a84 --- /dev/null +++ b/data/questions/8a/b6/5b3053610e72.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=\\dfrac{1}{4}(x -1)(x +7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,-4],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/be/7416e474f84f.json b/data/questions/8a/be/7416e474f84f.json new file mode 100644 index 0000000000..305aed5533 --- /dev/null +++ b/data/questions/8a/be/7416e474f84f.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism with a triangular base. The base of the prism has the shape of an equilateral triangle with side length $2$. The height of the prism is $3$.\n\n![prism with a triangular base](https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png)\n \n**Drag the corners of the triangle below to draw the shape of a horizontal slice through the prism.**\n\nThe starter triangle is only approximate. Draw the exact side lengths.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png":{"height":280,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2.6199919742971387,0.853372332149325],[1.4999999999999998,2.510362971081844],[0.6250000000000016,0.7119261498395746]],"match":"similar","numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"grid","range":[[-1,4],[-1,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/c0/9486e4247528.json b/data/questions/8a/c0/9486e4247528.json new file mode 100644 index 0000000000..a3f7af4048 --- /dev/null +++ b/data/questions/8a/c0/9486e4247528.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y-1)^2=81$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,1],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/c1/eae082fade80.json b/data/questions/8a/c1/eae082fade80.json new file mode 100644 index 0000000000..48d7ab50c6 --- /dev/null +++ b/data/questions/8a/c1/eae082fade80.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5681784efcef850226c881e2a3bc194d3193fe7c","width":430},"correct":{"coords":[[4,6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/c7/c2f99e0f1eba.json b/data/questions/8a/c7/c2f99e0f1eba.json new file mode 100644 index 0000000000..9cb7c6128d --- /dev/null +++ b/data/questions/8a/c7/c2f99e0f1eba.json @@ -0,0 +1 @@ +{"content":"crwdns3122079:0{A}crwdnd3122079:0{B}crwdnd3122079:0{A}crwdnd3122079:0{C}crwdne3122079:0","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":true},{"content":"crwdns2671924:0crwdne2671924:0","correct":false},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":false},{"content":"crwdns2671926:0crwdne2671926:0","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/1268623d66270bd03a9a8001c96b2bc7d0e45910.png","width":400},"box":[340,340],"correct":{"coords":[[[0,7],[2,-7]],[[-2,-7],[0,7]]],"type":"linear-system"},"editableSettings":["graph","snap","image","measure"],"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/ce/ad0ff08d8761.json b/data/questions/8a/ce/ad0ff08d8761.json new file mode 100644 index 0000000000..fc43a7e943 --- /dev/null +++ b/data/questions/8a/ce/ad0ff08d8761.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=-x+6\n\\\\\\\\\n& 5x+5y=15\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,2]],[[0,6],[1,5]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":false},{"content":"No solutions","correct":true},{"content":"Infinitely many solutions","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8a/db/d52db6fb8462.json b/data/questions/8a/db/d52db6fb8462.json new file mode 100644 index 0000000000..592b7f94f3 --- /dev/null +++ b/data/questions/8a/db/d52db6fb8462.json @@ -0,0 +1 @@ +{"content":"crwdns3318038:0$ycrwdnd3318038:0$ycrwdnd3318038:0{-1}crwdne3318038:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c2e06d1287d7631948c8f8e3d0d0279a2be3c371","width":425},"correct":{"coords":[[[-6,7],[-1,-2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/e9/3daef76814d0.json b/data/questions/8a/e9/3daef76814d0.json new file mode 100644 index 0000000000..9b0a3ac6ee --- /dev/null +++ b/data/questions/8a/e9/3daef76814d0.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with two $45^\\circ$ angles.**\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.391559601859943,4.176259253641232],[1.5475345091027917,8.854079910600609],[1.6306367270016793,4.093157035742345]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/ea/e96136391a26.json b/data/questions/8a/ea/e96136391a26.json new file mode 100644 index 0000000000..57947413e5 --- /dev/null +++ b/data/questions/8a/ea/e96136391a26.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -\\dfrac{5}{6}x+1$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,1],[6,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8a/ec/deb0676baf4e.json b/data/questions/8a/ec/deb0676baf4e.json new file mode 100644 index 0000000000..10de15ed2c --- /dev/null +++ b/data/questions/8a/ec/deb0676baf4e.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\ln(x-1)$ and let $g(x)=2^{x-3}-2$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\,\\ln(x-1)=2^{x-3}-2$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"asymptote":[[-10,-2],[10,-2]],"coords":[[4,0],[3,-1]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bfd5111473805a2b9c929913bf3271f73a771125","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":4.729},{"maxError":0.5,"message":"We're asked to find the greater of the two solutions. This approximates the lesser solution. ","simplify":"required","status":"wrong","strict":false,"value":1.2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/11/2e8d59ad7cae.json b/data/questions/8b/11/2e8d59ad7cae.json new file mode 100644 index 0000000000..44469d48d3 --- /dev/null +++ b/data/questions/8b/11/2e8d59ad7cae.json @@ -0,0 +1 @@ +{"content":"crwdns4069905:0$gcrwdne4069905:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-8],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"crwdns4069461:0crwdne4069461:0","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-8}],"coefficient":false,"labelText":"crwdns4069463:0crwdne4069463:0","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1},{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"crwdns4069921:0crwdne4069921:0","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"crwdns4069923:0crwdne4069923:0","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/13/66bf13a1bd34.json b/data/questions/8b/13/66bf13a1bd34.json new file mode 100644 index 0000000000..3446e48691 --- /dev/null +++ b/data/questions/8b/13/66bf13a1bd34.json @@ -0,0 +1 @@ +{"content":"**Construct a $130^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/02564832cdaa56aa507437df41dd13e1fefbe595.png":{"height":160,"width":398},"https://ka-perseus-images.s3.amazonaws.com/37521922ea42bbbf67622075e1ea51e095f37479.png":{"height":291,"width":401}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"markings":"none","labels":["x","y"],"showProtractor":true,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"angle","showAngles":false,"snapDegrees":5},"correct":{"coords":[[6.662476544422285,-1.0599696426100849],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/18/e2fe139391cd.json b/data/questions/8b/18/e2fe139391cd.json new file mode 100644 index 0000000000..3b5d097590 --- /dev/null +++ b/data/questions/8b/18/e2fe139391cd.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-6,8)$ and $(-6, -3)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-3],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":11},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-11}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/44/45f96e17a313.json b/data/questions/8b/44/45f96e17a313.json new file mode 100644 index 0000000000..9c3030f573 --- /dev/null +++ b/data/questions/8b/44/45f96e17a313.json @@ -0,0 +1 @@ +{"content":"crwdns3209069:0$xcrwdne3209069:0","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/81f27c4238829d63610837dc8fad2fbdf84ea778.png","width":425},"correct":{"coords":[[2,1],[-3,2],[-5,-7]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/8b/49/53ae48da6589.json b/data/questions/8b/49/53ae48da6589.json new file mode 100644 index 0000000000..86d739546a --- /dev/null +++ b/data/questions/8b/49/53ae48da6589.json @@ -0,0 +1 @@ +{"content":"**Make an obtuse angle by using the three black points as follows.** \n\n**Drag the vertex of the angle to place the vertex at the correct black point.** \n\n**Drag the points on the rays to make the rays go through the other two black points.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]\n\nThis is an obtuse angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":false},{"content":"□□□□□□□ □□□□","correct":true},{"content":"□□□□ □□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/79255c0c41e9075fd339f5e51c4d56d50d29370a.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-4.470792481197705,8.470792481197705],[4,0],[3.9999999999999987,-6.120191778436709]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/4a/18ced1fac564.json b/data/questions/8b/4a/18ced1fac564.json new file mode 100644 index 0000000000..e881002817 --- /dev/null +++ b/data/questions/8b/4a/18ced1fac564.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1, 4)$, and the upper-right coordinates are $(3, 4)$. The rectangle has a perimeter of $24$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[3,-4],[3,4],[-1,4],[-1,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/54/ed081280e782.json b/data/questions/8b/54/ed081280e782.json new file mode 100644 index 0000000000..739194cb6f --- /dev/null +++ b/data/questions/8b/54/ed081280e782.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +16x -16y +124=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-8,8],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/56/4eb4dfd57ee3.json b/data/questions/8b/56/4eb4dfd57ee3.json new file mode 100644 index 0000000000..b4ff4d5da0 --- /dev/null +++ b/data/questions/8b/56/4eb4dfd57ee3.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a triangle with vertices at the following points.** \n\n$(-3, 4), (1, -5), (9, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/58/8047e3aa4bc0.json b/data/questions/8b/58/8047e3aa4bc0.json new file mode 100644 index 0000000000..5b66ea2f0e --- /dev/null +++ b/data/questions/8b/58/8047e3aa4bc0.json @@ -0,0 +1 @@ +{"content":"Mandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,10],[2,20],[3,30]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["$\\text{Hours}$","$\\text{Earnings}$"],"markings":"graph","range":[[-1,6.5],[-1,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ýéèśŝ","correct":true},{"content":"ŃŇóò","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8b/59/0ff04eac5979.json b/data/questions/8b/59/0ff04eac5979.json new file mode 100644 index 0000000000..a218c5eb26 --- /dev/null +++ b/data/questions/8b/59/0ff04eac5979.json @@ -0,0 +1 @@ +{"content":"The $3$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $3$ points, plot the $3$ corresponding points that must be on the graph of $y=\\log_b{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8abd4d786e557d2d1fef2e79404203b5da19920c.png","width":425},"correct":{"coords":[[16,2],[1,0],[4,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/63/b350a0ff65fb.json b/data/questions/8b/63/b350a0ff65fb.json new file mode 100644 index 0000000000..3de413787c --- /dev/null +++ b/data/questions/8b/63/b350a0ff65fb.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=7|x +2|-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,-3],[-1,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/65/b57892bf7b8b.json b/data/questions/8b/65/b57892bf7b8b.json new file mode 100644 index 0000000000..5a7167ce20 --- /dev/null +++ b/data/questions/8b/65/b57892bf7b8b.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\sin\\left(\\dfrac{1}{7}x\\right)-3$ in the interactive widget.**\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/68/de70c5490625.json b/data/questions/8b/68/de70c5490625.json new file mode 100644 index 0000000000..39f9529ce2 --- /dev/null +++ b/data/questions/8b/68/de70c5490625.json @@ -0,0 +1 @@ +{"content":"Brady earned $400$ stars in his school's Read-a-Thon event last year. His goal for this year is to earn at least $100$ more stars than he did last year. He earns $50$ stars for each book he reads and $5$ stars for each magazine he reads.\n\n**Write an *inequality* that represents the number of books $(B)$ and magazines $(M)$ Brady must read to meet his goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $B$ on the horizontal axis and $M$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Brady reads $6$ books $(B)$, which of the following numbers of magazines $(M)$ can he read to meet or exceed the star goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"50B+5M>=500"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"50b+5m\\ge500"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,100],[10,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,10],"labels":["B","M"],"markings":"graph","range":[[-2,15],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,5],"step":[2,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$36$","correct":false},{"content":"$40$","correct":true},{"content":"$44$","correct":true},{"content":"$48$","correct":true},{"content":"$53$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/78/a2fc938c9cc0.json b/data/questions/8b/78/a2fc938c9cc0.json new file mode 100644 index 0000000000..4a8f4e80fd --- /dev/null +++ b/data/questions/8b/78/a2fc938c9cc0.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{2}$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b1ec3841d8d7aba903cf7c9ba9b0d4fabfc8633","width":400},"correct":{"coords":[[0,0],[-2,2],[-6,1]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/7c/a6000ea57506.json b/data/questions/8b/7c/a6000ea57506.json new file mode 100644 index 0000000000..1958410fdf --- /dev/null +++ b/data/questions/8b/7c/a6000ea57506.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-3)$ and has a slope of $-2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-4,-5],[-5,-3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/91/a3bf5d85a546.json b/data/questions/8b/91/a3bf5d85a546.json new file mode 100644 index 0000000000..26a9760fb7 --- /dev/null +++ b/data/questions/8b/91/a3bf5d85a546.json @@ -0,0 +1 @@ +{"content":"The cost to park in the downtown parking lot depends on the number of hours you park your car for. \n\n| | ||\n- | :-: | :-:| :-:| :-:\nHours parked | $1$ | $5$| $12$ \nCost (in dollars) | $4$ | $10$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the cost of parking proportional to the number of hours parked?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,4],[5,10],[12,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Hours}$","$\\text{Cost}$"],"markings":"graph","range":[[-2,22],[-2,22]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8b/9f/37f7fc965ad3.json b/data/questions/8b/9f/37f7fc965ad3.json new file mode 100644 index 0000000000..1d52b63336 --- /dev/null +++ b/data/questions/8b/9f/37f7fc965ad3.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $QUIZ$ is reflected over the line $y=x-1$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 6":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea484ceafccc9b239ef9dda71abf7ece1d4ffb92","width":425},"correct":{"coords":[[-2,-7],[5,-5],[3,2],[3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/a0/ec3917d11998.json b/data/questions/8b/a0/ec3917d11998.json new file mode 100644 index 0000000000..9699a71ddf --- /dev/null +++ b/data/questions/8b/a0/ec3917d11998.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$2$|$3$|$4$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a86c03713a29d33e2a5f8d2abfa578594dbba2e0","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,1]],[[-5,-3],[5,-2]],[[-5,-6],[5,-5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8b/a4/f02e32327bd0.json b/data/questions/8b/a4/f02e32327bd0.json new file mode 100644 index 0000000000..249d06d5c6 --- /dev/null +++ b/data/questions/8b/a4/f02e32327bd0.json @@ -0,0 +1 @@ +{"content":"**Construct a $90^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/187e403b057d06ed5994eb427f7a6ed140bf76f2.png":{"height":172,"width":172},"https://ka-perseus-images.s3.amazonaws.com/60b8fea2f9c36cc28d4b71f39ada0d288c40e11e.png":{"height":387,"width":359}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-0.5275737288297861],[0,-9],[-8.765495424367186,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/b4/91e7effa7f97.json b/data/questions/8b/b4/91e7effa7f97.json new file mode 100644 index 0000000000..9629263e84 --- /dev/null +++ b/data/questions/8b/b4/91e7effa7f97.json @@ -0,0 +1 @@ +{"content":"Tina is employed by Amateur Painters for the summer. She has a strict $\\$1000$ budget to cover the cost of paint and stain. A liter of paint costs $\\$10$, and a liter of stain costs $\\$20$.\n\n**Write an *inequality* that represents the number of liters of paint $(P)$ and liters of stain $(S)$ Tina can use without exceeding her expense budget.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $P$ on the horizontal axis and $S$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Tina uses $40$ liters of paint $(P)$, which of the following numbers of liters of stain $(S)$ can she use without exceeding the expense budget?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"10P+20S<=1000","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[20,10],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["P","S"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,120],[-8,75]],"gridStep":[10,5],"snapStep":[5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,50],[100,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$26$","correct":true},{"content":"$29$","correct":true},{"content":"$32$","correct":false},{"content":"$35$","correct":false},{"content":"$38$","correct":false}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/bd/d9f92e993ac9.json b/data/questions/8b/bd/d9f92e993ac9.json new file mode 100644 index 0000000000..e4cec60610 --- /dev/null +++ b/data/questions/8b/bd/d9f92e993ac9.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ac61fc52c3a3c933a746d42d13767a67bb2ebf9d","width":425},"correct":{"coords":[[-5,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/d3/0628f72c71f1.json b/data/questions/8b/d3/0628f72c71f1.json new file mode 100644 index 0000000000..593756b8b4 --- /dev/null +++ b/data/questions/8b/d3/0628f72c71f1.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-\\dfrac25$ that contains the point $(-3,5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[2,3],[-3,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/d4/a4187fb02f46.json b/data/questions/8b/d4/a4187fb02f46.json new file mode 100644 index 0000000000..bd26e1e85e --- /dev/null +++ b/data/questions/8b/d4/a4187fb02f46.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{3}{2}x+2$ \n \n\n\n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\nDrag the points on the graph to the specified coordinates.\n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n[[☃ radio 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,5],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/d7/77306d8d5b93.json b/data/questions/8b/d7/77306d8d5b93.json new file mode 100644 index 0000000000..503ab4ee4a --- /dev/null +++ b/data/questions/8b/d7/77306d8d5b93.json @@ -0,0 +1 @@ +{"content":"**Construct an $80^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6995f140756ad6a6bd1095124acebb894678dce5.png":{"height":395,"width":370}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-1.3982678768416987,-1.0700288111122171],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/d8/66a5e32aa933.json b/data/questions/8b/d8/66a5e32aa933.json new file mode 100644 index 0000000000..10cbfd9cbb --- /dev/null +++ b/data/questions/8b/d8/66a5e32aa933.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24d3859d6af72989cd8a5e1e562edff98b4ed146","width":430},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/dd/37aaaef8a1e2.json b/data/questions/8b/dd/37aaaef8a1e2.json new file mode 100644 index 0000000000..7d52b7025c --- /dev/null +++ b/data/questions/8b/dd/37aaaef8a1e2.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(1,1)$, $(1,6)$, $(9,6)$, and $(9,1)$.\n\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the height of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[1,1],[9,1],[1,6],[9,6]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/e8/d3b788dd9e5c.json b/data/questions/8b/e8/d3b788dd9e5c.json new file mode 100644 index 0000000000..53d2c5ff9f --- /dev/null +++ b/data/questions/8b/e8/d3b788dd9e5c.json @@ -0,0 +1 @@ +{"content":"crwdns3144073:0{PQR}crwdne3144073:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/544e419e8dc7eb5c6202766a936b468d20e4ea53","width":425},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/f0/19f764986cb9.json b/data/questions/8b/f0/19f764986cb9.json new file mode 100644 index 0000000000..d2f6287612 --- /dev/null +++ b/data/questions/8b/f0/19f764986cb9.json @@ -0,0 +1 @@ +{"content":"**Graph $9x+15y=45$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8b/f8/4ff07df209e0.json b/data/questions/8b/f8/4ff07df209e0.json new file mode 100644 index 0000000000..2890384233 --- /dev/null +++ b/data/questions/8b/f8/4ff07df209e0.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y-5)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[0,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/00/548e0459d22e.json b/data/questions/8c/00/548e0459d22e.json new file mode 100644 index 0000000000..81005efbfe --- /dev/null +++ b/data/questions/8c/00/548e0459d22e.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=1.5+ 6i$ \n* $ w=-2.5+ 2i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5.7},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[1.5,6],[-0.5,4],[-2.5,2],[4,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/02/5239f7ffdfdd.json b/data/questions/8c/02/5239f7ffdfdd.json new file mode 100644 index 0000000000..95486c2816 --- /dev/null +++ b/data/questions/8c/02/5239f7ffdfdd.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+3)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-3,-4],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/05/a159aa6e114c.json b/data/questions/8c/05/a159aa6e114c.json new file mode 100644 index 0000000000..2b6b75486e --- /dev/null +++ b/data/questions/8c/05/a159aa6e114c.json @@ -0,0 +1 @@ +{"content":"crwdns3049606:0crwdne3049606:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-8],[2,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12},{"maxError":null,"message":"crwdns3881777:0crwdne3881777:0","simplify":"required","status":"wrong","strict":false,"value":-12}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/06/2aea8ded6cd1.json b/data/questions/8c/06/2aea8ded6cd1.json new file mode 100644 index 0000000000..a8aa6a8b51 --- /dev/null +++ b/data/questions/8c/06/2aea8ded6cd1.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-6,0)$, and the upper-right coordinates are $(-4,0)$. The rectangle has an area of $12$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-4,-6],[-4,0],[-6,0],[-6,-6]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/0b/8778e8da1135.json b/data/questions/8c/0b/8778e8da1135.json new file mode 100644 index 0000000000..e86034319b --- /dev/null +++ b/data/questions/8c/0b/8778e8da1135.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=6\\cdot\\left(\\dfrac{1}{3}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,6],[1,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/0d/85f8ba2fedf0.json b/data/questions/8c/0d/85f8ba2fedf0.json new file mode 100644 index 0000000000..d836ea0cfa --- /dev/null +++ b/data/questions/8c/0d/85f8ba2fedf0.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-3)^2+(y-7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/12/3c82b0099bd0.json b/data/questions/8c/12/3c82b0099bd0.json new file mode 100644 index 0000000000..710b59506d --- /dev/null +++ b/data/questions/8c/12/3c82b0099bd0.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-\\log_2(x+2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]],"type":"logarithm"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/15/0bb35a5d9230.json b/data/questions/8c/15/0bb35a5d9230.json new file mode 100644 index 0000000000..1e4c199165 --- /dev/null +++ b/data/questions/8c/15/0bb35a5d9230.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec s$ and $\\vec t$:\n\n$\\begin{align}\n\\vec s&=(-2,-1)\n\\\\\\\\\n\\vec t&=(1,-6)\n\\end{align}$\n\n*Answer two questions about the addition $\\vec s+\\vec t$.*\n\nPerforming the addition using the parallelogram rule, with $\\vec s$ and $\\vec t$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the sum.**\n\n$\\vec s+\\vec t=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-6],[0,0],[-2,-1],[-1,-7]],"snapTo":"grid"}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/1c/d048b35aae5d.json b/data/questions/8c/1c/d048b35aae5d.json new file mode 100644 index 0000000000..bcd35617b4 --- /dev/null +++ b/data/questions/8c/1c/d048b35aae5d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+4x+8y+16=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,-4],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/1e/ae43a378aed7.json b/data/questions/8c/1e/ae43a378aed7.json new file mode 100644 index 0000000000..53928adbf5 --- /dev/null +++ b/data/questions/8c/1e/ae43a378aed7.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d87328ddf5d7ce60c30621834141209d4170c168","width":430},"correct":{"coords":[[2,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/30/97077292ab45.json b/data/questions/8c/30/97077292ab45.json new file mode 100644 index 0000000000..c11b9cce83 --- /dev/null +++ b/data/questions/8c/30/97077292ab45.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y=2x-1}$\n\n$\\qquad\\pink{2y+x=3}$\n\n**Create a new equation by substituting $y$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"x=1"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8ccae41c29325c15072fd87c5c90043ad6dc337c.png","width":425},"correct":{"coords":[[1,8],[1,-7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/3f/0fb6bc126e66.json b/data/questions/8c/3f/0fb6bc126e66.json new file mode 100644 index 0000000000..c3a9442bf8 --- /dev/null +++ b/data/questions/8c/3f/0fb6bc126e66.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $2\\pi$ units\n\n\n- Its amplitude is $6.5$ units\n\n\n- It intersects its midline at $\\left(-\\dfrac{5}{4}\\pi,3\\right)$ and then decreases\n\n**Graph the function in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-2.5,3],[-1.5,-3.5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/4c/91187a75a729.json b/data/questions/8c/4c/91187a75a729.json new file mode 100644 index 0000000000..09e9b2f09b --- /dev/null +++ b/data/questions/8c/4c/91187a75a729.json @@ -0,0 +1 @@ +{"content":"Two of the points that define a certain quadrilateral are $(-3,0)$ and $(7,2)$. The quadrilateral has rotational symmetry of $180^\\circ$ about the point $(-1, -2)$.\n\n**Draw and classify the quadrilateral described above.** \n(Choose the most specific description.)\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/43a996a77271e158d1deae239bd406336f52eeb8","width":400},"correct":{"coords":[[-3,0],[7,2],[1,-4],[-9,-6]],"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"वर्ग (Square)","correct":false},{"content":"आयत (Rectangle)","correct":false},{"content":"समचतुर्भुज (Rhombus)","correct":false},{"content":"समांतर चतुर्भुज (Parallelogram)","correct":true},{"content":"समलंब चतुर्भुज (Trapezoid)","correct":false},{"content":"Kite","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8c/5d/5e62d65aa695.json b/data/questions/8c/5d/5e62d65aa695.json new file mode 100644 index 0000000000..e115f0bab5 --- /dev/null +++ b/data/questions/8c/5d/5e62d65aa695.json @@ -0,0 +1 @@ +{"content":"The following inequality represents the largest amount of money Johannes can earn in a month for each day he cleans the house $(H)$ and mows the lawn $(L)$ :\n\n$\\qquad 6\\ H+10\\ L \\leq 120$\n\n**Graph the boundary line of the inequality above with $H$ on the horizontal axis and $L$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n\n**If Johannes cleans the house for $10$ days, for how many days should he mow the lawn to make the largest amount of money he can earn in a month?**\n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100m+4s\\le1000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"100M+4S\\le1000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"expression 2":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100m+4s\\le2000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"100M+4S\\le2000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,12],[20,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["H","L"],"markings":"graph","range":[[-1,25],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Johannes should mow the lawn for $6$ days.","correct":true},{"content":"Johannes should mow the lawn for $4$ days.","correct":false},{"content":"Johannes should mow the lawn for $2$ days.","correct":false,"isNoneOfTheAbove":false},{"content":"Johannes should mow the lawn for $8$ days.","correct":false,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8c/73/3fe982e76c7e.json b/data/questions/8c/73/3fe982e76c7e.json new file mode 100644 index 0000000000..0c97587e25 --- /dev/null +++ b/data/questions/8c/73/3fe982e76c7e.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4273da9cb2002f0db3a2023c2903a46ba2846963","width":430},"correct":{"coords":[[-5,6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/7b/7a1a3d057836.json b/data/questions/8c/7b/7a1a3d057836.json new file mode 100644 index 0000000000..dad4dd0716 --- /dev/null +++ b/data/questions/8c/7b/7a1a3d057836.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +2x +4y -44=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,-2],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/7c/ca68d307c496.json b/data/questions/8c/7c/ca68d307c496.json new file mode 100644 index 0000000000..544f4e648f --- /dev/null +++ b/data/questions/8c/7c/ca68d307c496.json @@ -0,0 +1 @@ +{"content":"crwdns2975602:0crwdne2975602:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,-4.5],[-7.5,0],[0,6.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/80/c75d2504470a.json b/data/questions/8c/80/c75d2504470a.json new file mode 100644 index 0000000000..400bb5195e --- /dev/null +++ b/data/questions/8c/80/c75d2504470a.json @@ -0,0 +1 @@ +{"content":"crwdns3399071:0$f$crwdnd3399071:0$a$crwdnd3399071:0$e$crwdnd3399071:0$f$crwdnd3399071:0$x$crwdnd3399071:0$a$crwdnd3399071:0$b$crwdnd3399071:0$c$crwdnd3399071:0$d$crwdnd3399071:0$e$crwdnd3399071:0$fcrwdnd3399071:0$11$crwdnd3399071:0$12$crwdnd3399071:0$13$crwdnd3399071:0$15$crwdnd3399071:0$16$crwdnd3399071:0$f$crwdnd3399071:0$f$crwdne3399071:0","images":{},"widgets":{"interactive-graph 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2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":true},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8c/86/83e718e91b81.json b/data/questions/8c/86/83e718e91b81.json new file mode 100644 index 0000000000..182c36ee19 --- /dev/null +++ b/data/questions/8c/86/83e718e91b81.json @@ -0,0 +1 @@ +{"content":"crwdns3897493:0crwdne3897493:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d8242f544fbba5a75118458d7fcdffdffa17e5fe","width":425},"correct":{"coords":[[-3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/8e/d6276e7e6986.json b/data/questions/8c/8e/d6276e7e6986.json new file mode 100644 index 0000000000..70497d77f5 --- /dev/null +++ b/data/questions/8c/8e/d6276e7e6986.json @@ -0,0 +1 @@ +{"content":"**Construct a $60^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/0faeb26c6f907159fcdd7be63671c3a8794e9715.png":{"height":179,"width":159},"https://ka-perseus-images.s3.amazonaws.com/5b573582c133c63d725827e4420cd59e53ec9e48.png":{"height":342,"width":367}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-1.3706088693859768,-6.6260358009189515],[0,-9],[-3.0571018814524726,-9]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/95/2b0003e249f8.json b/data/questions/8c/95/2b0003e249f8.json new file mode 100644 index 0000000000..38d5fac48d --- /dev/null +++ b/data/questions/8c/95/2b0003e249f8.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-\\log_2(x+2)$.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm","exponential"],"correct":{"asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/98/4c834ce0c85a.json b/data/questions/8c/98/4c834ce0c85a.json new file mode 100644 index 0000000000..5fa0250da2 --- /dev/null +++ b/data/questions/8c/98/4c834ce0c85a.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\ln(x-1)$ and let $g(x)=2^{x-3}-2$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\,\\ln(x-1)=2^{x-3}-2$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 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ŤŢĥȟíìśŝ áàṕṗṕṗŕřóòẍẋíìḿṁáàťțéèśŝ ťțĥȟéè ĺľéèśŝśŝéèŕř śŝóòĺľúùťțíìóòńň. 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A solid point labeled A is 9 units to the right of and 4 units down from the origin. A solid point, labeled B, is 1 unit to the right of and 1 unit up from the origin. A solid point labeled C is 4 units to the left of and 9 units up from the origin.","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false}}} diff --git a/data/questions/8c/9c/d870e8015dba.json b/data/questions/8c/9c/d870e8015dba.json new file mode 100644 index 0000000000..c79aa3ee23 --- /dev/null +++ b/data/questions/8c/9c/d870e8015dba.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(1,-5)$ and $(9,1)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 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+{"content":"crwdns4134499:0$x$crwdnd4134499:0$4$crwdnd4134499:0$2$crwdnd4134499:0$y$crwdnd4134499:0$2$crwdnd4134499:0$1$crwdnd4134499:0$x$crwdnd4134499:0$y$crwdnd4134499:0:-:crwdnd4134499:0$4$crwdnd4134499:0$2$crwdne4134499:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[6,3],[8,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/b8/98679cea26e8.json b/data/questions/8c/b8/98679cea26e8.json new file mode 100644 index 0000000000..d27cdc13e2 --- /dev/null +++ b/data/questions/8c/b8/98679cea26e8.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{1}{3}x^2+2x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-1],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/b8/9d647d718a41.json b/data/questions/8c/b8/9d647d718a41.json new file mode 100644 index 0000000000..c999580b56 --- /dev/null +++ b/data/questions/8c/b8/9d647d718a41.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n-1.6x-13 & , & -10\\leq x<-5 \\\\\\\\\n6x+25 & , & -5\\leq x<-4\\\\\\\\\n1 & , &-4\\leq x< 3\\\\\\\\\n{\\dfrac{6}{7}}x-{\\dfrac{11}{7}} & , & 3\\leq x\\leq 10\\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[10,7],[3,1]],[[-4,1],[3,1]],[[-5,-5],[-4,1]],[[-10,3],[-5,-5]]],"numSegments":4,"type":"segment"},"graph":{"numSegments":4,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/ba/7008c531c712.json b/data/questions/8c/ba/7008c531c712.json new file mode 100644 index 0000000000..c96a3400c5 --- /dev/null +++ b/data/questions/8c/ba/7008c531c712.json @@ -0,0 +1 @@ +{"content":"The following tape diagram describes the relationship between the amount of red paint and the amount of blue paint in a \"Plummy Purple\" paint mix. \n \n![](https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png)\n\n\n**Fill in the table with the missing values.** \n \nRed paint cans | Blue paint cans\n:-: | :-:\n$4$ | [[☃ input-number 1]]\n[[☃ input-number 2]] | $6$ \n \n**Now graph the points listed in the table.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the amount of red paint and the amount of blue paint in a Plummy Purple paint mix proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png":{"height":160,"width":408},"https://ka-perseus-images.s3.amazonaws.com/18a5da55b673792d8cf14e91ccc132c5c81bafb8.png":{"height":436,"width":460}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":451,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/2dd935e55b1b523fd430b684d523a41b86230b8d.png","width":451},"correct":{"coords":[[80,60],[40,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/bb/7613a14d517f.json b/data/questions/8c/bb/7613a14d517f.json new file mode 100644 index 0000000000..7b079bec70 --- /dev/null +++ b/data/questions/8c/bb/7613a14d517f.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $1$, नियम: $2$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $4$, नियम: $8$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,4],[3,12],[5,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,21],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["1","4"],["3","12"],["5","20"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/c0/24aa65c94006.json b/data/questions/8c/c0/24aa65c94006.json new file mode 100644 index 0000000000..ad9f579a31 --- /dev/null +++ b/data/questions/8c/c0/24aa65c94006.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -12x +6y +36=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[6,-3],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/c1/c0fe84facd22.json b/data/questions/8c/c1/c0fe84facd22.json new file mode 100644 index 0000000000..16c9fa50ea --- /dev/null +++ b/data/questions/8c/c1/c0fe84facd22.json @@ -0,0 +1 @@ +{"content":"crwdns3381069:0{625}crwdnd3381069:0{3600}crwdne3381069:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f0644e6497304b33a555e45a9c38f945d298b0a","width":425},"correct":{"coords":[[65,0],[-65,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/c4/5f999b625f75.json b/data/questions/8c/c4/5f999b625f75.json new file mode 100644 index 0000000000..796e84cec4 --- /dev/null +++ b/data/questions/8c/c4/5f999b625f75.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9c46fb32b187bfab270c2778e5003e7f453a72e1","width":430},"correct":{"coords":[[-5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/ce/b695049cc888.json b/data/questions/8c/ce/b695049cc888.json new file mode 100644 index 0000000000..e5656030bd --- /dev/null +++ b/data/questions/8c/ce/b695049cc888.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-2\\cdot 3^x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/d4/1037cbcb77db.json b/data/questions/8c/d4/1037cbcb77db.json new file mode 100644 index 0000000000..f28d6d9681 --- /dev/null +++ b/data/questions/8c/d4/1037cbcb77db.json @@ -0,0 +1 @@ +{"content":"$\\triangle{TOP}$ is rotated $-180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/05fa4e5feb0a57f01f5418dd79a4957986aabce0","width":425},"correct":{"coords":[[2,-5],[2,5],[-6,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/d4/c4c65b44c94a.json b/data/questions/8c/d4/c4c65b44c94a.json new file mode 100644 index 0000000000..3cba0e8fa3 --- /dev/null +++ b/data/questions/8c/d4/c4c65b44c94a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+(y-1)^2=64$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,1],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/d8/6bc698317a62.json b/data/questions/8c/d8/6bc698317a62.json new file mode 100644 index 0000000000..90cc46e038 --- /dev/null +++ b/data/questions/8c/d8/6bc698317a62.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=5x+2\n\\\\\\\\\n& y=-x+8\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,2],[1,7]],[[1,7],[0,8]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/df/c4f636d05f93.json b/data/questions/8c/df/c4f636d05f93.json new file mode 100644 index 0000000000..ea18616b5d --- /dev/null +++ b/data/questions/8c/df/c4f636d05f93.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=3(x+1)^2-2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-1,-2],[0,1]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/e1/644d525a2517.json b/data/questions/8c/e1/644d525a2517.json new file mode 100644 index 0000000000..bacd7859b7 --- /dev/null +++ b/data/questions/8c/e1/644d525a2517.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $5$ units to the left.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/177d09b2e70583c85defc71e8f4eef44ad32cd0e","width":425},"correct":{"coords":[[-3,-3],[-2,0],[-6,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8c/e5/0197feebea42.json b/data/questions/8c/e5/0197feebea42.json new file mode 100644 index 0000000000..f6020578e4 --- /dev/null +++ b/data/questions/8c/e5/0197feebea42.json @@ -0,0 +1 @@ +{"content":"crwdns6543697:0crwdne6543697:0","images":{"https://ka-perseus-images.s3.amazonaws.com/214a2834ece7a2052c15cb82c8da60286ebf80cf.png":{"height":38,"width":210},"https://ka-perseus-images.s3.amazonaws.com/895c494cc4520ecbdca32e680df0f97ee54f4320.png":{"height":202,"width":381}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-7.604667861756446,1.2358564987035274],[-2,-2],[-8.819865009834583,-1.9999999999999991]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/02/016ca718f94b.json b/data/questions/8d/02/016ca718f94b.json new file mode 100644 index 0000000000..7a2c916572 --- /dev/null +++ b/data/questions/8d/02/016ca718f94b.json @@ -0,0 +1 @@ +{"content":"crwdns3462809:0$gcrwdnd3462809:0{1}crwdnd3462809:0{5}crwdne3462809:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-6],[0,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/13/8fa603a1c61e.json b/data/questions/8d/13/8fa603a1c61e.json new file mode 100644 index 0000000000..80abfc5ecc --- /dev/null +++ b/data/questions/8d/13/8fa603a1c61e.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(3,8)$ and $(3,4)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,8],[3,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/2b/cdb790c57a4f.json b/data/questions/8d/2b/cdb790c57a4f.json new file mode 100644 index 0000000000..8ade23dc4d --- /dev/null +++ b/data/questions/8d/2b/cdb790c57a4f.json @@ -0,0 +1 @@ +{"content":"Mandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,10],[2,20],[3,30]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["$\\text{Hours}$","$\\text{Earnings}$"],"markings":"graph","range":[[-1,6.5],[-1,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□","correct":true},{"content":"□□","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8d/2c/10306fbd30d6.json b/data/questions/8d/2c/10306fbd30d6.json new file mode 100644 index 0000000000..358f8ec17b --- /dev/null +++ b/data/questions/8d/2c/10306fbd30d6.json @@ -0,0 +1 @@ +{"content":"You are an aeronautical engineer for the US Navy. You want to create a small scale drawing of an airplane wing from an F/A-$18$ jet flown by the Blue Angels. The wing is a trapezoid with parallel bases $15\\text{ ft}$ and $6\\text{ ft}$ and a side $13\\text{ ft}$ that is perpendicular to both bases.\n\n*A trapezoid has $4$ sides and at least one pair of parallel sides. *\n\n**Create a scale drawing of the wing using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[0,-7],[9,6],[-6,6],[-6,-7]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/37/2984182bb762.json b/data/questions/8d/37/2984182bb762.json new file mode 100644 index 0000000000..ed2fc9389f --- /dev/null +++ b/data/questions/8d/37/2984182bb762.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad -14x+y=7$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,7],[-0.5,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/4e/9e37faa528f0.json b/data/questions/8d/4e/9e37faa528f0.json new file mode 100644 index 0000000000..6c6eec7359 --- /dev/null +++ b/data/questions/8d/4e/9e37faa528f0.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f1ca0139d296783f651668ce4fd27da0f50a6cf2","width":425},"correct":{"coords":[[-1,3],[3,3],[-6,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/5f/5c67b0ba0586.json b/data/questions/8d/5f/5c67b0ba0586.json new file mode 100644 index 0000000000..5554d039e9 --- /dev/null +++ b/data/questions/8d/5f/5c67b0ba0586.json @@ -0,0 +1 @@ +{"content":"crwdns3028791:0$x$crwdnd3028791:0$3$crwdne3028791:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-5,7],[-5,0],[5,0]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/6a/05d6b0686632.json b/data/questions/8d/6a/05d6b0686632.json new file mode 100644 index 0000000000..c673432d28 --- /dev/null +++ b/data/questions/8d/6a/05d6b0686632.json @@ -0,0 +1 @@ +{"content":"Every year, a meteorologist studying tropical storms predicts how many hurricanes will occur. The table below shows how many hurricanes were predicted and how many hurricanes actually occurred for the years $2000$ to $2005$.\n \n**Plot the data in a scatter plot to see the relationship between the predicted and actual hurricane counts.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Year**|$2000$|$2001$|$2002$|$2003$|$2004$|$2005$\n**Predicted** | $11$ | $13$ | $12$ | $17$ | $15$ | $17$\n**Actual** | $14$ | $15$ | $12$ | $16$ | $14$ |$27$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Predicted}$","$\\text{Actual}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,30],[-4,30]],"gridStep":[2,2],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[11,14],[13,15],[12,12],[17,16],[15,14],[17,27]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/6c/71a564f4dd43.json b/data/questions/8d/6c/71a564f4dd43.json new file mode 100644 index 0000000000..9ab180e46c --- /dev/null +++ b/data/questions/8d/6c/71a564f4dd43.json @@ -0,0 +1 @@ +{"content":"crwdns3897509:0crwdne3897509:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ce6e17bb98b84e3d159b78908154fd56120914a6","width":425},"correct":{"coords":[[7,-4],[-7,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/6e/0dff2a596e98.json b/data/questions/8d/6e/0dff2a596e98.json new file mode 100644 index 0000000000..a18efa267d --- /dev/null +++ b/data/questions/8d/6e/0dff2a596e98.json @@ -0,0 +1 @@ +{"content":"Tyler collected data on his $5$ pets. The points show the age and mass of $4$ of his pets. His fifth pet, Wings, has a mass of $3\\text{ kg}$ and is $17$ years old.\n \n**Plot Wings's mass and age on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which of Tyler's pets has the smallest mass?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d7b6afd9deefb286578725fdbb18a39ae3a17ac","width":400},"correct":{"coords":[[3,17]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ḟĺľóòṕṗśŝý","correct":true},{"content":"ḾṀíìťțťțéèńňśŝ","correct":false},{"content":"ŚŜṕṗóòťț","correct":false},{"content":"ĆĈĥȟáàńňćĉéè","correct":false},{"content":"ẂẀíìńňĝǧśŝ","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8d/75/acb2b7a60015.json b/data/questions/8d/75/acb2b7a60015.json new file mode 100644 index 0000000000..a1827c50bd --- /dev/null +++ b/data/questions/8d/75/acb2b7a60015.json @@ -0,0 +1 @@ +{"content":"Cassie hit a golf ball. The function $f$ models the height of the ball above the ground (in meters) as a function of time (in seconds) after Cassie hit it.\n\n**Plot the point on the graph of $f$ that corresponds to the ball's maximum height.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7ed3b60524f6ab5f7d3722be941fc93b0280606","width":400},"correct":{"coords":[[4,80]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,5],"labels":["\\ťțéèẍẋťț{ŤŢíìḿṁéè (śŝéèćĉóòńňďđśŝ)}","\\ťțéèẍẋťț{ĤȞéèíìĝǧĥȟťț (ḿṁéèťțéèŕřśŝ)}"],"markings":"none","range":[[-2,10],[-10,90]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/81/3fa4e5cf2fed.json b/data/questions/8d/81/3fa4e5cf2fed.json new file mode 100644 index 0000000000..1a10c66ae9 --- /dev/null +++ b/data/questions/8d/81/3fa4e5cf2fed.json @@ -0,0 +1 @@ +{"content":"crwdns4134494:0$x$crwdnd4134494:0$3$crwdnd4134494:0$1$crwdnd4134494:0$y$crwdnd4134494:0$9$crwdnd4134494:0$3$crwdnd4134494:0$x$crwdnd4134494:0$y$crwdnd4134494:0:-:crwdnd4134494:0$3$crwdnd4134494:0$9$crwdne4134494:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,9],[4,12],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/82/22cc4587ec84.json b/data/questions/8d/82/22cc4587ec84.json new file mode 100644 index 0000000000..518239ebb6 --- /dev/null +++ b/data/questions/8d/82/22cc4587ec84.json @@ -0,0 +1 @@ +{"content":"crwdns3462794:0$ycrwdnd3462794:0{1}crwdnd3462794:0{5}crwdne3462794:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,4],[0,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/97/4f14ab81acd4.json b/data/questions/8d/97/4f14ab81acd4.json new file mode 100644 index 0000000000..bf822a164d --- /dev/null +++ b/data/questions/8d/97/4f14ab81acd4.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the right and $5$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/33a2a5c04e8d8c2bea17a91f664c1a678371f18d","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[5,-6],[6,-4],[-3,-2],[-2,-4]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/97/96fdf43b78b3.json b/data/questions/8d/97/96fdf43b78b3.json new file mode 100644 index 0000000000..c897434d66 --- /dev/null +++ b/data/questions/8d/97/96fdf43b78b3.json @@ -0,0 +1 @@ +{"content":"crwdns6902040:0$ycrwdnd6902040:0{1}crwdnd6902040:0{5}crwdne6902040:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[5,2],[0,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/9e/615b21c1bafc.json b/data/questions/8d/9e/615b21c1bafc.json new file mode 100644 index 0000000000..7a5772295d --- /dev/null +++ b/data/questions/8d/9e/615b21c1bafc.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=5(x-1)^2-5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-5],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/9f/65be1d4d0743.json b/data/questions/8d/9f/65be1d4d0743.json new file mode 100644 index 0000000000..bb65897b4b --- /dev/null +++ b/data/questions/8d/9f/65be1d4d0743.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit right and $2$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1175ff80e07c28806d46b516a266d6305ffa4dea","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[6,0],[5,4],[-3,5],[-2,1]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/9f/fabeca4c2af4.json b/data/questions/8d/9f/fabeca4c2af4.json new file mode 100644 index 0000000000..f1fcf2034f --- /dev/null +++ b/data/questions/8d/9f/fabeca4c2af4.json @@ -0,0 +1 @@ +{"content":"**Graph $6x-5y=30$ .**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/ab/b2863395f0aa.json b/data/questions/8d/ab/b2863395f0aa.json new file mode 100644 index 0000000000..d20af8e37d --- /dev/null +++ b/data/questions/8d/ab/b2863395f0aa.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d8242f544fbba5a75118458d7fcdffdffa17e5fe","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-3,-5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/ad/8d5adbc99fa2.json b/data/questions/8d/ad/8d5adbc99fa2.json new file mode 100644 index 0000000000..c7f6efa192 --- /dev/null +++ b/data/questions/8d/ad/8d5adbc99fa2.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y+7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[0,-7],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/af/b6e8d510b8e8.json b/data/questions/8d/af/b6e8d510b8e8.json new file mode 100644 index 0000000000..72e559d3d9 --- /dev/null +++ b/data/questions/8d/af/b6e8d510b8e8.json @@ -0,0 +1 @@ +{"content":"Keshawn drew a rectangle with an area of $18$ square units.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $9$ units long.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4026301098c40e38035250f0fe4e79b3e0c4aedd","width":400},"correct":{"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,6],[-5,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/b5/5f8146d9b007.json b/data/questions/8d/b5/5f8146d9b007.json new file mode 100644 index 0000000000..1bfeeb1159 --- /dev/null +++ b/data/questions/8d/b5/5f8146d9b007.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+10x+6y+18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,-3],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/bd/af8f5c3d5298.json b/data/questions/8d/bd/af8f5c3d5298.json new file mode 100644 index 0000000000..75a2eaf264 --- /dev/null +++ b/data/questions/8d/bd/af8f5c3d5298.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0aebe236000f6f39501780a7f557dfb0d6e30b94","width":425},"correct":{"coords":[[2,3],[-4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/be/02e26d535ac4.json b/data/questions/8d/be/02e26d535ac4.json new file mode 100644 index 0000000000..c5bf300f9f --- /dev/null +++ b/data/questions/8d/be/02e26d535ac4.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}1 & -1 \\\\ 1 & 2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}3 \\\\ 4\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6df5ef53e8e8df5ceb8cd6589dc9b4b70d948b78","width":425},"correct":{"coords":[[[0,0],[-1,11]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[2,2],"labels":["□","□"],"markings":"none","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/c4/c9a4a93bc3e1.json b/data/questions/8d/c4/c9a4a93bc3e1.json new file mode 100644 index 0000000000..43b671d589 --- /dev/null +++ b/data/questions/8d/c4/c9a4a93bc3e1.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{2}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c734d43736b8c0402d5da625d45fc3e31f061992","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[-1,-3],[1,1],[-4,0]],"showAngles":false,"snapTo":"grid","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/8d/ca/57c4b75809e4.json b/data/questions/8d/ca/57c4b75809e4.json new file mode 100644 index 0000000000..2820a216d5 --- /dev/null +++ b/data/questions/8d/ca/57c4b75809e4.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=2^{x^2}$ and let $g(x)=-x+3$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $2^{x^2}=-x+3$, where $x_1$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1],[0,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"clue":"Be careful to shade the correct side!","content":"No","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/8f/dd/5e011131c57e.json b/data/questions/8f/dd/5e011131c57e.json new file mode 100644 index 0000000000..1fdb7496cf --- /dev/null +++ b/data/questions/8f/dd/5e011131c57e.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=8|x +1|-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-1,-1],[0,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8f/e1/8a92e256358b.json b/data/questions/8f/e1/8a92e256358b.json new file mode 100644 index 0000000000..1cb58b50a7 --- /dev/null +++ b/data/questions/8f/e1/8a92e256358b.json @@ -0,0 +1 @@ +{"content":"crwdns4115302:0crwdne4115302:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/051fee8f64c1daba973a6fc9425f944be28a1752","width":425},"correct":{"coords":[[-5,-3],[-2,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8f/e9/1a05b681e0cd.json b/data/questions/8f/e9/1a05b681e0cd.json new file mode 100644 index 0000000000..400ac064c0 --- /dev/null +++ b/data/questions/8f/e9/1a05b681e0cd.json @@ -0,0 +1 @@ +{"content":"**Construct a $150^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8.84668170998922,-3.892365933302787],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/8f/f7/356e95776b7a.json b/data/questions/8f/f7/356e95776b7a.json new file mode 100644 index 0000000000..c3a2770eb8 --- /dev/null +++ b/data/questions/8f/f7/356e95776b7a.json @@ -0,0 +1 @@ +{"content":"crwdns3399070:0$f$crwdnd3399070:0$a$crwdnd3399070:0$e$crwdnd3399070:0$f$crwdnd3399070:0$x$crwdnd3399070:0$a$crwdnd3399070:0$b$crwdnd3399070:0$c$crwdnd3399070:0$d$crwdnd3399070:0$e$crwdnd3399070:0$fcrwdnd3399070:0$1$crwdnd3399070:0$2$crwdnd3399070:0$4$crwdnd3399070:0$8$crwdnd3399070:0$16$crwdnd3399070:0$f$crwdnd3399070:0$f$crwdne3399070:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3140d713657fd4a6d5c3a8331da11fec17952717","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":true},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/90/06/cf7c126a7f71.json b/data/questions/90/06/cf7c126a7f71.json new file mode 100644 index 0000000000..0e874ca38c --- /dev/null +++ b/data/questions/90/06/cf7c126a7f71.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y= -\\dfrac{x}{3}+ 1}$\n\n$\\qquad\\pink{2y - x = 12}$\n\n**Create a new equation by adding the equations together. ** \n(Be sure to combine like terms.) \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=4/3*x+11"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/17c982e5be321b22b45805903f99a3c055122b6a.png","width":425},"correct":{"coords":[[-6,3],[-3,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/06/fe72de5fca2e.json b/data/questions/90/06/fe72de5fca2e.json new file mode 100644 index 0000000000..35c94380a2 --- /dev/null +++ b/data/questions/90/06/fe72de5fca2e.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x -7,y +1)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5a891fab50b9f3973c6cb8f989b71a29076540fd","width":425},"correct":{"coords":[[-1,-4],[-2,-3],[-2,-1],[-7,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/14/c1d1269c3c8c.json b/data/questions/90/14/c1d1269c3c8c.json new file mode 100644 index 0000000000..c9a3d26167 --- /dev/null +++ b/data/questions/90/14/c1d1269c3c8c.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-8,7)$ and $(5,7)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":13,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null},{"value":-13,"status":"wrong","message":"Remember that distance should always be positive.","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[-8,7],[5,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/33/7ced7fda096b.json b/data/questions/90/33/7ced7fda096b.json new file mode 100644 index 0000000000..7a218fbf9c --- /dev/null +++ b/data/questions/90/33/7ced7fda096b.json @@ -0,0 +1 @@ +{"content":"crwdns2972704:0$x$crwdne2972704:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,2],[-8,5],[1,2]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/35/820243dc1e7e.json b/data/questions/90/35/820243dc1e7e.json new file mode 100644 index 0000000000..a5ff5e9638 --- /dev/null +++ b/data/questions/90/35/820243dc1e7e.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-6,8)$ and $(-6, -3)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-3],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":11},{"maxError":null,"message":"ŔŘéèḿṁéèḿṁƀḃéèŕř ťțĥȟáàťț ďđíìśŝťțáàńňćĉéè śŝĥȟóòúùĺľďđ áàĺľẃẁáàýśŝ ƀḃéè ṕṗóòśŝíìťțíìṽṿéè.","simplify":"required","status":"wrong","strict":false,"value":-11}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/4f/8a29a410c447.json b/data/questions/90/4f/8a29a410c447.json new file mode 100644 index 0000000000..e3b59a8f86 --- /dev/null +++ b/data/questions/90/4f/8a29a410c447.json @@ -0,0 +1 @@ +{"content":"Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost of the job is in the chart below.\n\n |Day $1$|Day $2$|Day $3$\n-:|-:|-:|-:\nHours worked|$5$|$4$|$6$\nAmount paid|$\\$300$|$\\$240$|$\\$360$\n\n**What is the painter's *unit rate* of change of dollars with respect to time; that is, how much is the painter paid for *one* hour worked? **\n\nThe unit rate of change is [[☃ input-number 1]] dollars per hour.\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.**\n\n[[☃ interactive-graph 1]]\n\nGraph the relationship.\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"60"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["□","□"],"markings":"graph","range":[[-1,5],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,20]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/5f/3ae7925d03a5.json b/data/questions/90/5f/3ae7925d03a5.json new file mode 100644 index 0000000000..3c82dd3876 --- /dev/null +++ b/data/questions/90/5f/3ae7925d03a5.json @@ -0,0 +1 @@ +{"content":"$\\triangle{HAT}$ is reflected over the line $y=-3x$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 6":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/357dcee10be5cbb92632de2b123e10e58a3bdd60","width":425},"correct":{"coords":[[6,2],[-8,4],[2,-6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/5f/610ed8449149.json b/data/questions/90/5f/610ed8449149.json new file mode 100644 index 0000000000..239bd72e3c --- /dev/null +++ b/data/questions/90/5f/610ed8449149.json @@ -0,0 +1 @@ +{"content":"crwdns3508046:0crwdne3508046:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3137505:0crwdne3137505:0","correct":false},{"content":"crwdns3137560:0crwdne3137560:0","correct":false},{"content":"crwdns3137566:0crwdne3137566:0","correct":false},{"content":"crwdns3137506:0crwdne3137506:0","correct":true},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":false},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/90/6f/bc7c43bbef21.json b/data/questions/90/6f/bc7c43bbef21.json new file mode 100644 index 0000000000..80ae6c8c42 --- /dev/null +++ b/data/questions/90/6f/bc7c43bbef21.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\log_2(x-1)-x$ and let $g(x)=3(x-5)^2-8$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\log_2(x-1)-x=3(x-5)^2-8$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[5,-8],[4,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd7d19f90bcc0ea5a681d47aa9b9f4eb4dcb650","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":6.182},{"maxError":0.5,"message":"□□'□□ □□□□□ □□ □□□□ □□□ □□□□□□□ □□ □□□ □□□ □□□□□□□□□. □□□□ □□□□□□□□□□□□ □□□ □□□□□□ □□□□□□□□. ","simplify":"required","status":"wrong","strict":false,"value":3.6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/6f/eed5e9004192.json b/data/questions/90/6f/eed5e9004192.json new file mode 100644 index 0000000000..72f3ea26b9 --- /dev/null +++ b/data/questions/90/6f/eed5e9004192.json @@ -0,0 +1 @@ +{"content":"Line segments $\\overline{PO}$ and $\\overline{LY}$ are reflected over the line $y=\\dfrac{1}{4}x+3$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec9db377c855be17a2841116d069c94ee6277951","width":425},"correct":{"coords":[[[-8,5],[8,-2]],[[-7,-1],[-3,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91b9cdea9392fcb822d0365456409475e579472a","width":425},"correct":{"coords":[[[-9,0],[5,5]],[[-7,-1],[-7,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dbac9c0d80eb620ac380f038eed02de1b3295976","width":425},"correct":{"coords":[[[-4,-7],[-4,-9]],[[-6,-4],[3,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3611ecf3d5e92df7d95c5f6f840557d74c5e3d3c","width":425},"correct":{"coords":[[[-3,8],[-9,-5]],[[-4,0],[-3,-7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3611ecf3d5e92df7d95c5f6f840557d74c5e3d3c","width":425},"correct":{"coords":[[[-5,6],[-1,7]],[[9,1],[3,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/7d/50abc18fe7dd.json b/data/questions/90/7d/50abc18fe7dd.json new file mode 100644 index 0000000000..a0111001cb --- /dev/null +++ b/data/questions/90/7d/50abc18fe7dd.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-2,7)$ and has a slope of $4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-2,7],[-3,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/82/cc5cbda5a4c8.json b/data/questions/90/82/cc5cbda5a4c8.json new file mode 100644 index 0000000000..ba5f7fa917 --- /dev/null +++ b/data/questions/90/82/cc5cbda5a4c8.json @@ -0,0 +1 @@ +{"content":"The graph below contains the rectangle $ABC$ and the point $P$. \n \n**Draw the image of $ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{4}$.** \n \n[[☃ interactive-graph 1]]\n \n**Which of the following statements about the image of triangle $ABC$ are true?** \n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/85827b9e5ab2562dda79e44160509a0a3088c6be","width":425},"correct":{"coords":[[6,3],[3,4],[6,0]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The image of $\\angle B$ is $27^\\circ$. *(Suppose angle B labeled $108^\\circ$)*","correct":false},{"content":"The line that passes through the image of side $\\overline{BC}$ is the same line that passes through side $\\overline{BC}$.","correct":true},{"content":"The line that passes through the image of side $\\overline{AC}$ is parallel to the line that passes through side $\\overline{AC}$.","correct":true,"isNoneOfTheAbove":false},{"content":"The image of $\\angle C$ is congruent to $\\angle C$.","correct":true,"isNoneOfTheAbove":false},{"content":"$\\angle A$ is congruent to its image.","correct":true,"isNoneOfTheAbove":false},{"content":"$\\angle C$ is $4$ times larger than its image.","isNoneOfTheAbove":false},{"content":"The image of $\\angle A$ is $\\dfrac{1}{4}$ the size of $\\angle A$.","isNoneOfTheAbove":false},{"content":"","isNoneOfTheAbove":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":true,"multipleSelect":true,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/90/85/0a3987fc59d6.json b/data/questions/90/85/0a3987fc59d6.json new file mode 100644 index 0000000000..ceeefb2e08 --- /dev/null +++ b/data/questions/90/85/0a3987fc59d6.json @@ -0,0 +1 @@ +{"content":"We want to solve the following system of equations:\n\n$\\begin{cases}\n2x+y=-4\n\\\\\\\\\ny=(x+1)^2-2\n\\end{cases}$\n\nThe line given by $2x+y=-4$ is graphed.\n\n**1) Draw the parabola given by $y=(x+1)^2-2$ in the interactive graph.**\n\n[[☃ grapher 1]]\n\n**2) Select all solutions to the system.**\n\n[[☃ radio 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-2],[-3,2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9c25a8a6c9a7ae2ea141c9600a531aeec545ea27","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(-3,2)$","correct":true},{"content":"$(-2,0)$","isNoneOfTheAbove":false},{"content":"$(-1,-2)$","correct":true,"isNoneOfTheAbove":false},{"content":"$(0,-4)$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/90/89/62a6758e257b.json b/data/questions/90/89/62a6758e257b.json new file mode 100644 index 0000000000..bbf5094554 --- /dev/null +++ b/data/questions/90/89/62a6758e257b.json @@ -0,0 +1 @@ +{"content":"crwdns3474921:0crwdne3474921:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,1]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/89/bb44234e2340.json b/data/questions/90/89/bb44234e2340.json new file mode 100644 index 0000000000..37bf1aca95 --- /dev/null +++ b/data/questions/90/89/bb44234e2340.json @@ -0,0 +1 @@ +{"content":"$h(x)=0.5(x+4)^2+1$\n\n**1) What is the vertex of the function?**\n\n$($ [[☃ numeric-input 1]] $,$ [[☃ numeric-input 2]] $)$\n\n**2) What is the function's $y$-intercept?**\n\n$($ [[☃ numeric-input 3]] $,$ [[☃ numeric-input 4]] $)$\n\n**3) Graph the function.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,1],[0,9]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"ẍẋ-ćĉóòóòŕřďđíìńňáàťțéè óòḟ ṽṿéèŕřťțéèẍẋ","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"ý-ćĉóòóòŕřďđíìńňáàťțéè óòḟ ṽṿéèŕřťțéèẍẋ","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"ẍẋ-ćĉóòóòŕřďđíìńňáàťțéè óòḟ ý-íìńňťțéèŕřćĉéèṕṗťț","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"ý-ćĉóòóòŕřďđíìńňáàťțéè óòḟ ý-íìńňťțéèŕřćĉéèṕṗťț","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/8b/5f36f9efd12c.json b/data/questions/90/8b/5f36f9efd12c.json new file mode 100644 index 0000000000..c6585de246 --- /dev/null +++ b/data/questions/90/8b/5f36f9efd12c.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/21f266aa6e8d5ff2b070d1f6cd560a2a7fb945e4","width":425},"correct":{"coords":[[1,-5],[5,-2],[-5,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/8e/0ec1ab168bb6.json b/data/questions/90/8e/0ec1ab168bb6.json new file mode 100644 index 0000000000..16243ec53f --- /dev/null +++ b/data/questions/90/8e/0ec1ab168bb6.json @@ -0,0 +1 @@ +{"content":"You are $5$ miles away from your house when you start walking directly away from your house. In the table below, $w$ represents the number of miles you have walked, and $d$ represents your distance from home in miles.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$d=w+5.$\n\n**Plot two points on the graph that show your distance from home if you walked $6$ miles and $10$ miles.**\n\n$w$ | $d$\n:-:|:-:\n$0$ | $5$\n$1$ | $6$\n$2$ | $7$\n$3$ | $8$\n\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":0,"left":"","scale":"1","url":"","width":0},"correct":{"coords":[[6,11],[10,15]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẃẁ","ďđ"],"markings":"graph","range":[[-1,18],[-1,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/90/820a31835c3b.json b/data/questions/90/90/820a31835c3b.json new file mode 100644 index 0000000000..f4a6dfd3ea --- /dev/null +++ b/data/questions/90/90/820a31835c3b.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(0,8)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/b0/32583a1a98a1.json b/data/questions/90/b0/32583a1a98a1.json new file mode 100644 index 0000000000..afdec6066b --- /dev/null +++ b/data/questions/90/b0/32583a1a98a1.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6b97185321bfa4ec25d89ab2c4cef4d275e3a08c","width":425},"correct":{"coords":[[6,-4],[3,-2],[2,1],[-2,-3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/be/5a43b1452304.json b/data/questions/90/be/5a43b1452304.json new file mode 100644 index 0000000000..0ce3818892 --- /dev/null +++ b/data/questions/90/be/5a43b1452304.json @@ -0,0 +1 @@ +{"content":"crwdns3144289:0{ABC}crwdne3144289:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4c10630ba46f1e8ee7ee60a6e2134b34aa196dcc","width":425},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/c5/e3727be97d1d.json b/data/questions/90/c5/e3727be97d1d.json new file mode 100644 index 0000000000..4b4971f94e --- /dev/null +++ b/data/questions/90/c5/e3727be97d1d.json @@ -0,0 +1 @@ +{"content":"You are a software engineer. You want to create a large scale drawing of a processor inside a cell phone. The processor is a rectangular chip with side lengths $9.5\\text{ mm}$ and $7.5\\text{ mm}$.\n\n**Create a scale drawing of the processor using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[14,3.5],[14,13],[6.5,13],[6.5,3.5]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["x","y"],"markings":"grid","range":[[-1,20],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/ce/30e39d077499.json b/data/questions/90/ce/30e39d077499.json new file mode 100644 index 0000000000..392f7f6f60 --- /dev/null +++ b/data/questions/90/ce/30e39d077499.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0b851cdf5d2c7e79e0b30ae9fc4c573ca488502a","width":425},"correct":{"coords":[[3,6],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/d2/d17143ebdc20.json b/data/questions/90/d2/d17143ebdc20.json new file mode 100644 index 0000000000..f72f5412b7 --- /dev/null +++ b/data/questions/90/d2/d17143ebdc20.json @@ -0,0 +1 @@ +{"content":"When it is raining outside, you tend to stay in and watch TV. The number of hours of TV that you watch in a given week is twice the number of rainy days in that week. In the table below, $y$ is the number of hours of TV you watch in a week, and $x$ is the number of rainy days in that week.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$y=2x$.\n\n**Plot two points on the graph that show the number of hours of TV you watch if there are $5$ rainy days and $7$ rainy days.**\n\n\n$x$ | $y$\n:-:|:-:\n$1$ | $2$\n$2$ | $4$\n$3$ | $6$\n$4$ | $8$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[5,10],[7,14]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,17],[-1,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/e5/ad83be08f314.json b/data/questions/90/e5/ad83be08f314.json new file mode 100644 index 0000000000..785d3b1312 --- /dev/null +++ b/data/questions/90/e5/ad83be08f314.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{y^2}{400}-\\dfrac{x^2}{225}=1$**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa50666684309d890b7388acdb39a397e4c07987","width":425},"correct":{"coords":[[0,25],[0,-25]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-50,50],[-50,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[10,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/ee/309b1efcb325.json b/data/questions/90/ee/309b1efcb325.json new file mode 100644 index 0000000000..0cc6e63cbe --- /dev/null +++ b/data/questions/90/ee/309b1efcb325.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e98067038068666b3671dbd9dccb8c552c339920","width":430},"correct":{"coords":[[3,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/90/f8/329c8c2548f5.json b/data/questions/90/f8/329c8c2548f5.json new file mode 100644 index 0000000000..575e4e5a46 --- /dev/null +++ b/data/questions/90/f8/329c8c2548f5.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebfe60eb69251f2e94646716bfae9426f843287b","width":425},"correct":{"coords":[[2,1],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/09/5d4875311bac.json b/data/questions/91/09/5d4875311bac.json new file mode 100644 index 0000000000..00cabce973 --- /dev/null +++ b/data/questions/91/09/5d4875311bac.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y-8)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,8],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/0e/b6a920c5fc22.json b/data/questions/91/0e/b6a920c5fc22.json new file mode 100644 index 0000000000..36743a40dd --- /dev/null +++ b/data/questions/91/0e/b6a920c5fc22.json @@ -0,0 +1 @@ +{"content":"crwdns3074209:0{A}crwdnd3074209:0{B}crwdne3074209:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":true},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":true},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa0b41dfa07c6e88d78e364aced1d9c68eef824a","width":400},"correct":{"coords":[[-3,-3],[5,7]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/12/4eb3e635a371.json b/data/questions/91/12/4eb3e635a371.json new file mode 100644 index 0000000000..d44d6689e6 --- /dev/null +++ b/data/questions/91/12/4eb3e635a371.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c782cd5e1839298737cd5a1626c79851d17f2fe","width":430},"correct":{"coords":[[0,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/12/a361530d9fcc.json b/data/questions/91/12/a361530d9fcc.json new file mode 100644 index 0000000000..b0c985e3b7 --- /dev/null +++ b/data/questions/91/12/a361530d9fcc.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the green, dashed line segment shown below. \n \n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/da880ac07e02c52696b26c3fd518680ef7acd660","width":425},"correct":{"coords":[[[1,-8],[-4,3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/1c/b2f21530c440.json b/data/questions/91/1c/b2f21530c440.json new file mode 100644 index 0000000000..b6703a55df --- /dev/null +++ b/data/questions/91/1c/b2f21530c440.json @@ -0,0 +1 @@ +{"content":"Asha lives at $2^{\\text{nd}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(2,11)$ on the map below. She and her sister decide to walk to the ice cream shop at $5^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(5, 4)$ on the map. They head down $2^{\\text{nd}}$ Avenue then over on $4^{\\text{th}}$ Street. \n\n**Plot Asha's home and the ice cream shop on the map.** \n\n[[☃ interactive-graph 1]]\n\n**How many blocks do they walk to get to the ice cream shop?** \n[[☃ input-number 1]] blocks\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,11],[5,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/1c/caec657e93a5.json b/data/questions/91/1c/caec657e93a5.json new file mode 100644 index 0000000000..7a64069230 --- /dev/null +++ b/data/questions/91/1c/caec657e93a5.json @@ -0,0 +1 @@ +{"content":"**Construct a $180^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/8ba9a1c7fe79fdc1624d2769481c3ff6ad505501.png":{"height":79,"width":403}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/1e/66e67b85e750.json b/data/questions/91/1e/66e67b85e750.json new file mode 100644 index 0000000000..59ac626a26 --- /dev/null +++ b/data/questions/91/1e/66e67b85e750.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e78d24697a3afa1fc3323d7cc0402f1e7fce91a1","width":425},"correct":{"coords":[[9,-6],[-9,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[3,3],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/20/efc491fa0e85.json b/data/questions/91/20/efc491fa0e85.json new file mode 100644 index 0000000000..a2e07e18ed --- /dev/null +++ b/data/questions/91/20/efc491fa0e85.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(5.5,4)$, $(-7,1)$, and $(0,-9)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5.5,4],[0,-9],[-7,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/21/3e510ccf58c7.json b/data/questions/91/21/3e510ccf58c7.json new file mode 100644 index 0000000000..307e45627f --- /dev/null +++ b/data/questions/91/21/3e510ccf58c7.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $1$, Rule: add $1$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$1$ | $6$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6],[2,12],[3,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/21/5d00d1afe1ab.json b/data/questions/91/21/5d00d1afe1ab.json new file mode 100644 index 0000000000..72226e5e18 --- /dev/null +++ b/data/questions/91/21/5d00d1afe1ab.json @@ -0,0 +1 @@ +{"content":"Samir is a huge fan of the University of Virginia men's basketball team. He notices that the team tends to score more points when more fans attend the games. Samir has recorded various point totals and attendance totals, and he's come up with the model $y =0.0025x+40$ to represent the number of points scored by UVA as a function of the number of fans at the game. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Fans** |$4{,}000$ | $6{,}000$| $8{,}000$ | $10{,}000$ | $12{,}000$|$14{,}000$\n**Residual value** | $-8$ | $-5$| $-2$ | $5$| $10$|$13$| \n**Points scored** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":42},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":50},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":58},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":70},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":80},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":88},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[4000,42],[6000,50],[8000,58],[10000,70],[12000,80],[14000,88]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1000,4],"labels":["x","y"],"markings":"graph","range":[[-1000,15000],[-5,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[500,2],"step":[2000,20]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":true},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":false},{"content":"Decrease the y-intercept of the line.","correct":true},{"content":"None of the above - the model is a good fit for the data.","correct":false}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/91/2d/816e7648bc0d.json b/data/questions/91/2d/816e7648bc0d.json new file mode 100644 index 0000000000..251a8c5c2d --- /dev/null +++ b/data/questions/91/2d/816e7648bc0d.json @@ -0,0 +1 @@ +{"content":"crwdns6544061:0crwdne6544061:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f529d3caae42deda657946bd296e5d1328006e56","width":400},"correct":{"coords":[[-5.5,8.5],[3.5,5.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/42/9bd46a208fb2.json b/data/questions/91/42/9bd46a208fb2.json new file mode 100644 index 0000000000..85e5216166 --- /dev/null +++ b/data/questions/91/42/9bd46a208fb2.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ead63551f666b766cdd889427cd7d9458a9b0148","width":430},"correct":{"coords":[[-0.5,0.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/4d/a1015e3a685f.json b/data/questions/91/4d/a1015e3a685f.json new file mode 100644 index 0000000000..4637a952fa --- /dev/null +++ b/data/questions/91/4d/a1015e3a685f.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x-1)(x+3)(2x+1)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[1,0],[-3,0],[-0.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/6e/de23dd6fbb70.json b/data/questions/91/6e/de23dd6fbb70.json new file mode 100644 index 0000000000..01cdaaeb5e --- /dev/null +++ b/data/questions/91/6e/de23dd6fbb70.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y+7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/79/1c809a51ff96.json b/data/questions/91/79/1c809a51ff96.json new file mode 100644 index 0000000000..e679c30aa3 --- /dev/null +++ b/data/questions/91/79/1c809a51ff96.json @@ -0,0 +1 @@ +{"content":"At Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | ||\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[8,5],[16,8],[24,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"markings":"graph","range":[[-2,25],[-1,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□","correct":false},{"content":"□□","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/91/a0/10069a364ff6.json b/data/questions/91/a0/10069a364ff6.json new file mode 100644 index 0000000000..cc6bd7a624 --- /dev/null +++ b/data/questions/91/a0/10069a364ff6.json @@ -0,0 +1 @@ +{"content":"Jada has a stand in the marketplace where she sells ground paprika. Her profit increases by $\\$7.50$ for every kilogram of paprika she sells, and she needs to sell $40$ kilograms to cover her weekly expenses.\n\n**Graph Jada's weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms).** \n$$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[60,150],[40,0]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/06cf8441a629315114b89c6c528af50042b61130","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,50],"labels":["",""],"markings":"none","range":[[-10,100],[-350,450]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,50],"step":[10,100],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/a9/7d8bdf3b1c42.json b/data/questions/91/a9/7d8bdf3b1c42.json new file mode 100644 index 0000000000..33c8203351 --- /dev/null +++ b/data/questions/91/a9/7d8bdf3b1c42.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $3$ units from Point $\\blueD{A}$ and also share the same $x$-coordinate as Point $\\blueD{A}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a2ca46b810623b189774509248ad4a21c8bc476","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[5,3],[5,9]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/aa/3fc9d09c0708.json b/data/questions/91/aa/3fc9d09c0708.json new file mode 100644 index 0000000000..e2d8b48069 --- /dev/null +++ b/data/questions/91/aa/3fc9d09c0708.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (5, 5.5), (6.5, 0), (0, -4.5), (−5, -3.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5,5.5],[6.5,0],[0,-4.5],[-5,-3.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/91/c6/a32dcc85a339.json b/data/questions/91/c6/a32dcc85a339.json new file mode 100644 index 0000000000..48ab6969f6 --- /dev/null +++ b/data/questions/91/c6/a32dcc85a339.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x-1)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-2,-3],[4,3]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"},{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/c9/dc139f787215.json b/data/questions/91/c9/dc139f787215.json new file mode 100644 index 0000000000..792c1b5d32 --- /dev/null +++ b/data/questions/91/c9/dc139f787215.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $y$-axis.**\n\n [[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e44dc78fb0ee6d1f284308681a95bd8118a608d","width":400},"correct":{"coords":[[8,5]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/c9/ed2781fb8edb.json b/data/questions/91/c9/ed2781fb8edb.json new file mode 100644 index 0000000000..50b2edc002 --- /dev/null +++ b/data/questions/91/c9/ed2781fb8edb.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y=2x-1}$\n\n$\\qquad\\pink{2y+x=3}$\n\n**Create a new equation by setting the left-hand sides of the equations equal to each other and solving for $y$.** \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":true},{"content":"is also","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"2y+x=y"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8ccae41c29325c15072fd87c5c90043ad6dc337c.png","width":425},"correct":{"coords":[[0,0],[5,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/da/eb9fbb2f8ee0.json b/data/questions/91/da/eb9fbb2f8ee0.json new file mode 100644 index 0000000000..7398c2b528 --- /dev/null +++ b/data/questions/91/da/eb9fbb2f8ee0.json @@ -0,0 +1 @@ +{"content":"crwdns4116747:0$ARMY$crwdne4116747:0","images":{},"widgets":{"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ef6755eb3083acf94f5e581551d3380ba4bc60a","width":425},"correct":{"coords":[[-3,3],[-1,5],[-5,7],[-7,5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/e8/4072af6c7722.json b/data/questions/91/e8/4072af6c7722.json new file mode 100644 index 0000000000..0e1629d499 --- /dev/null +++ b/data/questions/91/e8/4072af6c7722.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x+2)(2x+7)(x-1)(x-3)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-2,0],[-3.5,0],[1,0],[3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/91/ed/999079af6f43.json b/data/questions/91/ed/999079af6f43.json new file mode 100644 index 0000000000..da59647d07 --- /dev/null +++ b/data/questions/91/ed/999079af6f43.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=3\\cos(2x+6\\pi)+4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-5.5,4],[-6,7]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/08/3a5f96879d9a.json b/data/questions/92/08/3a5f96879d9a.json new file mode 100644 index 0000000000..5fab5ea714 --- /dev/null +++ b/data/questions/92/08/3a5f96879d9a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x -10y +20=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/13/692b4a88a676.json b/data/questions/92/13/692b4a88a676.json new file mode 100644 index 0000000000..5ed7247146 --- /dev/null +++ b/data/questions/92/13/692b4a88a676.json @@ -0,0 +1 @@ +{"content":"crwdns4132424:0$P$crwdnd4132424:0$3$crwdne4132424:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b736520684b73f6574e3628ea109d0774df59456":{"height":152,"width":320}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f13715756be7e317009f2c22196703e973384976","width":400},"correct":{"coords":[[6,-4],[-6,5],[-6,-4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/18/3d32e6073a33.json b/data/questions/92/18/3d32e6073a33.json new file mode 100644 index 0000000000..2f8c1e912a --- /dev/null +++ b/data/questions/92/18/3d32e6073a33.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw a right triangle with a right angle at $(-8, 2)$, another vertex at $(-8, 5)$, and a base that is parallel to the $x$-axis and three times its height.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,2],[-8,5],[1,2]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/18/a6bb6659b635.json b/data/questions/92/18/a6bb6659b635.json new file mode 100644 index 0000000000..d85faca4dc --- /dev/null +++ b/data/questions/92/18/a6bb6659b635.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7360b7d63804f5773182e3d2f687f5a132efe69c","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-3,-2],[1,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/1a/def800cfaa67.json b/data/questions/92/1a/def800cfaa67.json new file mode 100644 index 0000000000..974413768d --- /dev/null +++ b/data/questions/92/1a/def800cfaa67.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $FRED$ is rotated $90^\\circ$ about the point $(2,-4)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c9e19f7672ce6fa4f9bf3b46616ae7b11d86172c","width":425},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/2f/be4a2ae793fd.json b/data/questions/92/2f/be4a2ae793fd.json new file mode 100644 index 0000000000..e0779fc0c2 --- /dev/null +++ b/data/questions/92/2f/be4a2ae793fd.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{1}{3}x^2-2x+8$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,5],[0,8]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/40/2a920f72eb97.json b/data/questions/92/40/2a920f72eb97.json new file mode 100644 index 0000000000..0ab55ec514 --- /dev/null +++ b/data/questions/92/40/2a920f72eb97.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+4)^2+(y-2)^2=36$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-4,2],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/4f/caee9b46d92b.json b/data/questions/92/4f/caee9b46d92b.json new file mode 100644 index 0000000000..04903368bd --- /dev/null +++ b/data/questions/92/4f/caee9b46d92b.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=- 2^{-x}-x+5$ and let $g(x)=3|x-1|-3$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $- 2^{-x}-x+5=3|x-1|-3$, where $x_1","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The distance between $3$ and $y$ is $11$.","correct":false},{"content":"The distance between $3$ and $11$ is $y$.","correct":false},{"content":"The distance between $11$ and $y$ is $3$.","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/c4/fd25891726d9.json b/data/questions/92/c4/fd25891726d9.json new file mode 100644 index 0000000000..546464d9d3 --- /dev/null +++ b/data/questions/92/c4/fd25891726d9.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-7, 1)$ and $(-7, -5)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-7,-5],[-7,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6},{"maxError":null,"message":"□□□□□□□□ □□□□ □□□□□□□□ □□□□□□ □□□□□□ □□ □□□□□□□□.","simplify":"required","status":"wrong","strict":false,"value":-6}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/ee/e6146c0d6468.json b/data/questions/92/ee/e6146c0d6468.json new file mode 100644 index 0000000000..a740bb3c08 --- /dev/null +++ b/data/questions/92/ee/e6146c0d6468.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(18,18)$. The rectangle is $10$ units wide and $8$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ed35c51ae38dd20d4df0cb3d380891bb3b7bf178","width":400},"correct":{"coords":[[8,18],[8,10],[18,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,19],[-2,19]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/92/f6/67ded5c45d1d.json b/data/questions/92/f6/67ded5c45d1d.json new file mode 100644 index 0000000000..2a43c76349 --- /dev/null +++ b/data/questions/92/f6/67ded5c45d1d.json @@ -0,0 +1 @@ +{"content":"Coach Kawa collected data on $5$ of his baseball players. The points show shoe size and the number of runs scored this week by $4$ of his players. His fifth player, Nardine, wears size $7$ shoes and scored $9$ runs this week.\n \n**Plot Nardine's shoe size and runs on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which player scored the most runs?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c8d86e12cc04becc9993bd50adf87e1a9725369c","width":400},"correct":{"coords":[[7,9]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ",""],"markings":"none","range":[[-2,13],[-2,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"ŃŇáàŕřďđíìńňéè","correct":false},{"content":"Ĵáàśŝóòńň","correct":false},{"content":"ṔṖáàúùĺľóò","correct":false},{"content":"ŔŘéèƀḃéèćĉćĉáà","correct":false},{"content":"ĆĈáàŕřḿṁéèńň","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/93/1e/2b6237c9035d.json b/data/questions/93/1e/2b6237c9035d.json new file mode 100644 index 0000000000..04a0be45cc --- /dev/null +++ b/data/questions/93/1e/2b6237c9035d.json @@ -0,0 +1 @@ +{"content":"crwdns6902016:0$ycrwdnd6902016:0{1}crwdnd6902016:0{3}crwdne6902016:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,4],[3,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/2f/19b352f38a9d.json b/data/questions/93/2f/19b352f38a9d.json new file mode 100644 index 0000000000..beb69ac6f3 --- /dev/null +++ b/data/questions/93/2f/19b352f38a9d.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube with side length $3$. \n\n![3 by 3 by 3 cube](https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png)\n\n**Drag the corners of the square below to draw the shape of a horizontal slice through the cube.**\n\n[[☃ interactive-graph 1]] \n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png":{"height":260,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,1],[4,4],[1,4],[1,1]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"grid","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/31/d044034afa2c.json b/data/questions/93/31/d044034afa2c.json new file mode 100644 index 0000000000..c25782fbce --- /dev/null +++ b/data/questions/93/31/d044034afa2c.json @@ -0,0 +1 @@ +{"content":"Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had $60$ megabytes on it before the transfer, and an additional $4$ megabytes were transferred onto it each second.\n\n**Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[0,60],[10,100]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/536b8327e2ebd8568acde6ac745d94478b7453b1","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,20],"labels":["ŤŢíìḿṁéè (śŝéèćĉóòńňďđśŝ)","Ḟíìĺľéèśŝ (ḿṁéèĝǧáàƀḃýťțéèśŝ)"],"markings":"none","range":[[-10,100],[-40,400]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,20],"step":[10,40],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/56/f625ec6f2fad.json b/data/questions/93/56/f625ec6f2fad.json new file mode 100644 index 0000000000..e261986f25 --- /dev/null +++ b/data/questions/93/56/f625ec6f2fad.json @@ -0,0 +1 @@ +{"content":"crwdns5574145:0crwdne5574145:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-5,-6],[-2,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/60/40e5e62d6278.json b/data/questions/93/60/40e5e62d6278.json new file mode 100644 index 0000000000..1bc47026d2 --- /dev/null +++ b/data/questions/93/60/40e5e62d6278.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $PINE$ after the rotation $R_{270^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/13dbfbf24a594d5ed6e9f57a61e2336a1b282d67.png","width":425},"correct":{"coords":[[6,-7],[5,-2],[3,-3],[2,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/62/8d57d4bac4fe.json b/data/questions/93/62/8d57d4bac4fe.json new file mode 100644 index 0000000000..63f45fbb11 --- /dev/null +++ b/data/questions/93/62/8d57d4bac4fe.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{5}{16}(x -1)(x -9)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-5],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/6c/94ec8374d9c7.json b/data/questions/93/6c/94ec8374d9c7.json new file mode 100644 index 0000000000..599b75cda6 --- /dev/null +++ b/data/questions/93/6c/94ec8374d9c7.json @@ -0,0 +1 @@ +{"content":"Rip van Winkle fell asleep for a very long time. When he fell asleep, his beard was $8$ millimeters long, and each passing week it grew $2$ additional millimeters.\n\n**Graph the relationship between the length of Rip van Winkle's beard (in millimeters) and time (in weeks).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[0,8],[2,12]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bfd242b83a1f2735531b28b990290e9f8b35d674","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,4],"labels":["",""],"markings":"none","range":[[-2,25],[-4,60]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,4],"step":[2,4],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/6c/c49482e5753c.json b/data/questions/93/6c/c49482e5753c.json new file mode 100644 index 0000000000..4eec5ced6b --- /dev/null +++ b/data/questions/93/6c/c49482e5753c.json @@ -0,0 +1 @@ +{"content":"The $4$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $4$ points, plot the $4$ corresponding points that must be on the graph of $y=\\log_b{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3586951a3290430cb8496de9ef8ea2460c6d4b9c.png","width":425},"correct":{"coords":[[9,2],[3,1],[1,0],[27,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["□","□"],"markings":"none","range":[[-6,29],[-6,29]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/73/be5801da65fd.json b/data/questions/93/73/be5801da65fd.json new file mode 100644 index 0000000000..806119c62b --- /dev/null +++ b/data/questions/93/73/be5801da65fd.json @@ -0,0 +1 @@ +{"content":"The table uses the following two patterns.\n\nPattern $x$: Starting number: $2$, Rule: add $3$\n\nPattern $y$: Starting number: $2$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$2$ | $2$\n$5$| [[☃ numeric-input 6]]\n$8$ | $8$\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"numeric-input 5":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 6":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 7":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 8":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,20],[-2,20]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[2,2],[5,5],[8,8]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/77/a65f71c63c02.json b/data/questions/93/77/a65f71c63c02.json new file mode 100644 index 0000000000..6dd7df4d66 --- /dev/null +++ b/data/questions/93/77/a65f71c63c02.json @@ -0,0 +1 @@ +{"content":"You built a water balloon launcher and can use it to launch $4$ balloons per minute. You have a bucket filled with $40$ filled water balloons. In the graph below, $m$ represents the minutes you have been launching water balloons, and $b$ represents the number of water balloons remaining in the bucket to be launched.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$b = 40-4m$\n\n**Plot points on the graph that show the number of water balloons remaining in the bucket if you have been launching balloons for $5$ minutes and $9$ minutes.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,20],[9,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\□□□□{□□□□□□□}","\\□□□□{□□□□□□□□ □□□□□□□□□}"],"markings":"graph","range":[[-1,10],[-1,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/7e/7cd341b243a9.json b/data/questions/93/7e/7cd341b243a9.json new file mode 100644 index 0000000000..2aa6726d81 --- /dev/null +++ b/data/questions/93/7e/7cd341b243a9.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{IP}$ is rotated $-90^\\circ$ about the point $(5,2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 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2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a698fb8019d5d3c8eb1e6dd569140014b1cbc405","width":425},"correct":{"coords":[[[-3,5],[-1,0]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/96/9344bffc3324.json b/data/questions/93/96/9344bffc3324.json new file mode 100644 index 0000000000..42b6d968f7 --- /dev/null +++ b/data/questions/93/96/9344bffc3324.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-5.75$","$-5\\dfrac12$","$-4\\dfrac14$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/97/882e598c438d.json b/data/questions/93/97/882e598c438d.json new file mode 100644 index 0000000000..3d88eb570c --- /dev/null +++ b/data/questions/93/97/882e598c438d.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{x=\\dfrac{y}{3}+ \\dfrac{5}{3}}$\n\n$\\qquad\\pink{4x - 5= - 2y}$\n\n**Create a new equation by setting the left-hand side of the upper equation equal to the right-hand side of the lower equation and solving for $y$.** \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":true},{"content":"is also","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"2y=-x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d4fffe26289e230ad00030b8b819a90c99dfa2c0.png","width":425},"correct":{"coords":[[-2,1],[4,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/ae/78840c039d22.json b/data/questions/93/ae/78840c039d22.json new file mode 100644 index 0000000000..4358ad325a --- /dev/null +++ b/data/questions/93/ae/78840c039d22.json @@ -0,0 +1 @@ +{"content":"Justin's rice ball recipe uses $100$ grams of rice to make $1$ rice ball.\n\n**Complete the table for the given ratio.** \n \nRice balls, $x$ | Rice ($\\text{g}$), $y$ \n:-: | :-: \n$1$ | $100$\n$2$| [[☃ numeric-input 3]]\n$4$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/284c9dcd44c7aae1140c79caf06cdfb8bb794af9","width":425},"correct":{"coords":[[2,200],[4,400]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,50],"labels":["x","y"],"markings":"none","range":[[-1,6],[-100,600]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,50],"step":[1,100]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":200}],"coefficient":false,"labelText":"grams of rice for 2 rice balls","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":400}],"coefficient":false,"labelText":"grams of rice for 4 rice balls","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/af/04ec48fd975a.json b/data/questions/93/af/04ec48fd975a.json new file mode 100644 index 0000000000..024a6579b2 --- /dev/null +++ b/data/questions/93/af/04ec48fd975a.json @@ -0,0 +1 @@ +{"content":"A system of two linear equations is graphed below.\n\n**Approximate the solution of the system.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/930774705e4132a0bae7ca07d7baba6639ba3d32)","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/930774705e4132a0bae7ca07d7baba6639ba3d32":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":"Image must be smaller than 450px x 450px."}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,-4]],[[0,-3],[1,-4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":-5.75}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":0.75}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"simulator 1":{"graded":true,"options":{"numTrials":100,"proportionLabel":"Underlying proportion","proportionOrPercentage":"proportion","xAxisLabel":"Proportion (%)","yAxisLabel":"Number of times seen"},"type":"simulator","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/b6/8392f481e5b6.json b/data/questions/93/b6/8392f481e5b6.json new file mode 100644 index 0000000000..2909aa1b05 --- /dev/null +++ b/data/questions/93/b6/8392f481e5b6.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4273da9cb2002f0db3a2023c2903a46ba2846963","width":430},"correct":{"coords":[[-5,6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/c0/26b5025e67be.json b/data/questions/93/c0/26b5025e67be.json new file mode 100644 index 0000000000..dd8e40e1e7 --- /dev/null +++ b/data/questions/93/c0/26b5025e67be.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(4,4)$ and $(4,6)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,4],[4,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/d2/f736d4cc281c.json b/data/questions/93/d2/f736d4cc281c.json new file mode 100644 index 0000000000..ff10790e10 --- /dev/null +++ b/data/questions/93/d2/f736d4cc281c.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a8bd89b7039929192cdde289cd5075fe421921a","width":425},"correct":{"coords":[[-16,-3],[8,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["x","y"],"markings":"none","range":[[-20,20],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,1],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/d5/033211a8c24b.json b/data/questions/93/d5/033211a8c24b.json new file mode 100644 index 0000000000..048f298d3b --- /dev/null +++ b/data/questions/93/d5/033211a8c24b.json @@ -0,0 +1 @@ +{"content":"crwdns3318036:0$ycrwdnd3318036:0$ycrwdnd3318036:0{-1}crwdne3318036:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1c05a41bc1c91045be8a880a413b971163188437","width":425},"correct":{"coords":[[[1,9],[-5,1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/d5/a1b1f65b6aa1.json b/data/questions/93/d5/a1b1f65b6aa1.json new file mode 100644 index 0000000000..5a43cc5355 --- /dev/null +++ b/data/questions/93/d5/a1b1f65b6aa1.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $15$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[2,-1],[2,2],[-3,2],[-3,-1]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/da/215b6edb752e.json b/data/questions/93/da/215b6edb752e.json new file mode 100644 index 0000000000..ddfc933bda --- /dev/null +++ b/data/questions/93/da/215b6edb752e.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\log_3(1-x)+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[1,-10],[1,10]],"coords":[[0,6],[-8,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/dc/360300658d63.json b/data/questions/93/dc/360300658d63.json new file mode 100644 index 0000000000..2484a8dd26 --- /dev/null +++ b/data/questions/93/dc/360300658d63.json @@ -0,0 +1 @@ +{"content":"**Select the quadrant or axis where each ordered pair is located on a coordinate plane.**\n\n[[☃ categorizer 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/d69ff5e819d98cfa55bac07de6e7d5cbeda08c14.png":{"height":224,"width":478}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["QI","QII","QIII","QIV","$x$-axis","$y$-axis"],"items":["$(-2\\dfrac12,-7)$","$(0,6)$","$(-5,0)$"],"randomizeItems":false,"values":[2,5,4]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-12e77f","options":{"color":"black","coordX":"0","coordY":"0"},"type":"point"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":true},{"content":"Quadrant IV","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/de/8f1832f49342.json b/data/questions/93/de/8f1832f49342.json new file mode 100644 index 0000000000..4efd24e22f --- /dev/null +++ b/data/questions/93/de/8f1832f49342.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{CD}$ is rotated $-180^\\circ$ about the point $(3,0)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/669509f133e4a77531d2db92c9769d07b20962e9","width":425},"correct":{"coords":[[[9,6],[5,4]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/ec/69a2a35bc6f2.json b/data/questions/93/ec/69a2a35bc6f2.json new file mode 100644 index 0000000000..0e7219b2dc --- /dev/null +++ b/data/questions/93/ec/69a2a35bc6f2.json @@ -0,0 +1 @@ +{"content":"Move the line segment so one endpoint is at $(0, 0)$ and the other is at $(1, 1)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,0],[1,1]]],"type":"segment"},"fullGraphAriaDescription":"Interactive graph grid labeled with axis marks labeled x and y, and tick marks on whole numbers. The grid range is from -5 to 5 on both axis lines. A line segment displays initially with endpoints at (3,3) and (-2,3).","fullGraphAriaLabel":"Interactive graph with a moveable line segment","graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"angle":0,"ariaLabel":"Locked ellipse with a radius of 2 centered at the origin.","center":[0,0],"color":"grayH","fillStyle":"none","radius":[2,2],"strokeStyle":"solid","type":"ellipse"}],"markings":"graph","range":[[-5,5],[-5,5]],"showProtractor":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/f6/33112d3323b0.json b/data/questions/93/f6/33112d3323b0.json new file mode 100644 index 0000000000..792898da74 --- /dev/null +++ b/data/questions/93/f6/33112d3323b0.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-7,-4)$ and has a slope of $-\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-7,-4],[-4,-6]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/93/fb/92f2cbec192a.json b/data/questions/93/fb/92f2cbec192a.json new file mode 100644 index 0000000000..cff1d101b9 --- /dev/null +++ b/data/questions/93/fb/92f2cbec192a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-7,-6)$ and has a radius of $2$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-7,-6],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/00/113f40c03598.json b/data/questions/94/00/113f40c03598.json new file mode 100644 index 0000000000..45feafbc2b --- /dev/null +++ b/data/questions/94/00/113f40c03598.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a1c417d2533de29242b0d105c1ec32a8504a666","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/09/230aae31924c.json b/data/questions/94/09/230aae31924c.json new file mode 100644 index 0000000000..0d363ed100 --- /dev/null +++ b/data/questions/94/09/230aae31924c.json @@ -0,0 +1 @@ +{"content":"crwdns3380945:0$6$crwdne3380945:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/10/60264a4fd1e5.json b/data/questions/94/10/60264a4fd1e5.json new file mode 100644 index 0000000000..1faf0f6e8c --- /dev/null +++ b/data/questions/94/10/60264a4fd1e5.json @@ -0,0 +1 @@ +{"content":"**Use the line segments to connect all possible pairs of the points $\\text{A}$, $\\text{B}$, and $\\text{C}$. Then complete the statement below. **\n\n[[☃ interactive-graph 1]]\n\nThese are line segments because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":false},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":false},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":true},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":false},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3c380a18488dfcb7193ce11734cfca2eff34660","width":400},"correct":{"coords":[[[2,6],[-2,-6]],[[2,6],[6,-2]],[[-2,-6],[6,-2]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/16/9d0dc3782521.json b/data/questions/94/16/9d0dc3782521.json new file mode 100644 index 0000000000..06587ff81a --- /dev/null +++ b/data/questions/94/16/9d0dc3782521.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nThe number of songs that can fit on a hard drive depends on its storage space. \n\n| | |\n- | :-: | :-:| :-:| :-:\nSongs | $100$ | $200$| $400$ \nStorage space $(\\text{GB})$ | $0.5$ | $1$ | $2$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the number of songs that can fit on the hard drive proportional to its storage space?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0.5,100],[1,200],[2,400]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,50],"labels":["$\\text{Storage (GB)}$","$\\text{Songs}$"],"markings":"graph","range":[[-0.5,4.5],[-50,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,25],"step":[0.5,100]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/94/29/9197ce5707e1.json b/data/questions/94/29/9197ce5707e1.json new file mode 100644 index 0000000000..3739ac766e --- /dev/null +++ b/data/questions/94/29/9197ce5707e1.json @@ -0,0 +1 @@ +{"content":"crwdns3462886:0$ycrwdne3462886:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-6],[1,-2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/2e/5e9c2ca65fde.json b/data/questions/94/2e/5e9c2ca65fde.json new file mode 100644 index 0000000000..cfacb2ce57 --- /dev/null +++ b/data/questions/94/2e/5e9c2ca65fde.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(6,1)$ and $(6,9)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,9],[6,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/37/887ee80121d8.json b/data/questions/94/37/887ee80121d8.json new file mode 100644 index 0000000000..802dbb3c6e --- /dev/null +++ b/data/questions/94/37/887ee80121d8.json @@ -0,0 +1 @@ +{"content":"**Draw the image of the rotation of quadrilateral $SORT$ by $270^\\circ$ about the origin.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/026d940b1c21dbd428b8378f7252511147d5ef35","width":425},"correct":{"coords":[[-2,-7],[3,2],[-1,2],[-6,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/42/e9ed610c36bc.json b/data/questions/94/42/e9ed610c36bc.json new file mode 100644 index 0000000000..982b54e5fe --- /dev/null +++ b/data/questions/94/42/e9ed610c36bc.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57fada679b2228b82c107e21fd5a255619c46950","width":430},"correct":{"coords":[[8,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/4a/db8d946ded30.json b/data/questions/94/4a/db8d946ded30.json new file mode 100644 index 0000000000..4564c0472e --- /dev/null +++ b/data/questions/94/4a/db8d946ded30.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 3-7i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[3,-7]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/50/4cf18104262f.json b/data/questions/94/50/4cf18104262f.json new file mode 100644 index 0000000000..c2cd1b38d4 --- /dev/null +++ b/data/questions/94/50/4cf18104262f.json @@ -0,0 +1 @@ +{"content":"**Which of the $x$ values are solutions to the following inequality?**\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/7cd0c171a862e408b6919bf8b33a81b129fc4ceb)\n\n$\\qquad \\left\\lvert x - a \\right\\rvert > a$\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7cd0c171a862e408b6919bf8b33a81b129fc4ceb":{"height":69,"width":460}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$x = b$","correct":true},{"content":"$x = c$","correct":false},{"content":"ŃŇóòńňéè óòḟ ťțĥȟéè áàƀḃóòṽṿéè","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/5f/1fb976b3992b.json b/data/questions/94/5f/1fb976b3992b.json new file mode 100644 index 0000000000..163b12ac0f --- /dev/null +++ b/data/questions/94/5f/1fb976b3992b.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-7\\sin\\left(\\dfrac{1}{4}x\\right)+1$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,1],[4,-6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/5f/cce65e0d5549.json b/data/questions/94/5f/cce65e0d5549.json new file mode 100644 index 0000000000..cd9484e259 --- /dev/null +++ b/data/questions/94/5f/cce65e0d5549.json @@ -0,0 +1 @@ +{"content":"**Use the line segments to connect all possible pairs of the points $\\text{A}$, $\\text{B}$, and $\\text{C}$. Then complete the statement below. **\n\n[[☃ interactive-graph 1]]\n\nThese are line segments because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/009bde8c529cd0f9c8fea990aac9937603b26526.png","width":400},"correct":{"coords":[[[0,6],[6,-6]],[[-6,-6],[0,6]],[[-6,-6],[6,-6]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/66/62f042274281.json b/data/questions/94/66/62f042274281.json new file mode 100644 index 0000000000..e57301bff9 --- /dev/null +++ b/data/questions/94/66/62f042274281.json @@ -0,0 +1 @@ +{"content":"Savannah used $10$ beads to make herself a necklace. She decided to make necklaces for her friends and used $5$ beads in each of those necklaces. In the graph below, $f$ represents the number of necklaces Savannah made for friends, and $b$ represents the beads she used all together.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$b = 5f + 10$\n\n\n**Plot points on the graph that show the number of beads Savannah will use by making $2$ and $4$ necklaces.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,20],[4,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["\\ťțéèẍẋťț{ŃŇéèćĉķḱĺľáàćĉéèśŝ}","\\ťțéèẍẋťț{ɃḂéèáàďđśŝ}"],"markings":"graph","range":[[-1,10],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/69/02bbc21b9bb4.json b/data/questions/94/69/02bbc21b9bb4.json new file mode 100644 index 0000000000..b1612c1ad3 --- /dev/null +++ b/data/questions/94/69/02bbc21b9bb4.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\dfrac{5}{3}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of \n$\\dfrac{5}{3}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=5/3x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,5],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/6d/1bdd1eae8720.json b/data/questions/94/6d/1bdd1eae8720.json new file mode 100644 index 0000000000..e3c7f7b816 --- /dev/null +++ b/data/questions/94/6d/1bdd1eae8720.json @@ -0,0 +1 @@ +{"content":"crwdns5558121:0$ycrwdnd5558121:0{8}crwdne5558121:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/6e/862a4712d214.json b/data/questions/94/6e/862a4712d214.json new file mode 100644 index 0000000000..77a2f77298 --- /dev/null +++ b/data/questions/94/6e/862a4712d214.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=0.5\\sin\\left(\\dfrac{\\pi}{3}x+\\dfrac{4\\pi}{3}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[-4,-2],[-2.5,-1.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/77/98fe6c52f752.json b/data/questions/94/77/98fe6c52f752.json new file mode 100644 index 0000000000..a3e992b5c7 --- /dev/null +++ b/data/questions/94/77/98fe6c52f752.json @@ -0,0 +1 @@ +{"content":"Sophie opens a new restaurant. The function $f$ models the restaurant's net worth (in thousands of dollars) as a function of time (in months) after Sophie opens it.\n\n**Plot the point on the graph of $f$ that corresponds to the restaurant's minimum net worth.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/90b18cd390182577b25e3026c492afbfc3ca2f92","width":400},"correct":{"coords":[[2,-12]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,4],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,9],[-16,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,4]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/78/8aa06cac0e03.json b/data/questions/94/78/8aa06cac0e03.json new file mode 100644 index 0000000000..dc71220898 --- /dev/null +++ b/data/questions/94/78/8aa06cac0e03.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $3$ units to the right and $1$ unit up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a6bb1589ed9de043b76b31b2b416ca63c735e662","width":425},"correct":{"coords":[[1,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/7a/a16977fbf2fe.json b/data/questions/94/7a/a16977fbf2fe.json new file mode 100644 index 0000000000..b48ec69043 --- /dev/null +++ b/data/questions/94/7a/a16977fbf2fe.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(3,-2)$ and has a radius of $5$ units**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,-2],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/7a/d1e68630ecdd.json b/data/questions/94/7a/d1e68630ecdd.json new file mode 100644 index 0000000000..8bc757a489 --- /dev/null +++ b/data/questions/94/7a/d1e68630ecdd.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac{2}{3}(x)(x-6)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-6],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/7d/eee1926eb9f3.json b/data/questions/94/7d/eee1926eb9f3.json new file mode 100644 index 0000000000..11630cfb1d --- /dev/null +++ b/data/questions/94/7d/eee1926eb9f3.json @@ -0,0 +1 @@ +{"content":"crwdns4020651:0{align}crwdnd4020651:0{align}crwdne4020651:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,8],[1,2]],[[0,-4],[1,-7]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2683422:0crwdne2683422:0","correct":true},{"content":"crwdns2684113:0crwdne2684113:0","correct":false},{"content":"crwdns2631866:0crwdne2631866:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/94/80/d0bf8ddaf380.json b/data/questions/94/80/d0bf8ddaf380.json new file mode 100644 index 0000000000..418ef13c20 --- /dev/null +++ b/data/questions/94/80/d0bf8ddaf380.json @@ -0,0 +1 @@ +{"content":"Tina is employed by Amateur Painters for the summer. She has a strict $\\$1000$ budget to cover the cost of paint and stain. A liter of paint costs $\\$10$, and a liter of stain costs $\\$20$.\n\n**Write an *inequality* that represents the number of liters of paint $(P)$ and liters of stain $(S)$ Tina can use without exceeding her expense budget.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $P$ on the horizontal axis and $S$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Tina uses $40$ liters of paint $(P)$, which of the following numbers of liters of stain $(S)$ can she use without exceeding the expense budget?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"10P+20S<=1000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,50],[100,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[10,5],"labels":["P","S"],"markings":"graph","range":[[-10,120],[-8,75]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,2.5],"step":[20,10]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$26$","correct":true},{"content":"$29$","correct":true},{"content":"$32$","correct":false},{"content":"$35$","correct":false},{"content":"$38$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/8f/8e0c5f5eb784.json b/data/questions/94/8f/8e0c5f5eb784.json new file mode 100644 index 0000000000..f6cf5675ee --- /dev/null +++ b/data/questions/94/8f/8e0c5f5eb784.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,5)$, and which has the point $(-3,5)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/92/62def56d0ac4.json b/data/questions/94/92/62def56d0ac4.json new file mode 100644 index 0000000000..b93a2ef554 --- /dev/null +++ b/data/questions/94/92/62def56d0ac4.json @@ -0,0 +1 @@ +{"content":"crwdns2988118:0crwdne2988118:0","images":{"https://ka-perseus-images.s3.amazonaws.com/93a18d5bd6725c68ae6719b74dc144d4277dfab8.png":{"height":182,"width":193}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1.4747929227018772,-0.6360337097799817],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/a1/b21ba702cb30.json b/data/questions/94/a1/b21ba702cb30.json new file mode 100644 index 0000000000..323dfe9c2b --- /dev/null +++ b/data/questions/94/a1/b21ba702cb30.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9accfb93d8f5a2c86387841a2a938dddfa6aeda6","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,-3],[4,-3],[-7,-7]]},"box":[288,288],"valid":true,"editableSettings":["graph","snap","image","measure"]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/aa/c58f44069d5e.json b/data/questions/94/aa/c58f44069d5e.json new file mode 100644 index 0000000000..25206b39dc --- /dev/null +++ b/data/questions/94/aa/c58f44069d5e.json @@ -0,0 +1 @@ +{"content":"Cole lives at $1^{\\text{st}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(1,11)$ on the map below. He decides to meet his best friend at the movie theater at $6^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(6, 4)$ on the map. He will walk down $1^{\\text{st}}$ Avenue then over on $4^{\\text{th}}$ Street.\n\n**Plot Cole's house and the movie theater on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How many blocks does Cole walk to get to the theater?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":12},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,11],[6,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/b0/6ce00e00d59a.json b/data/questions/94/b0/6ce00e00d59a.json new file mode 100644 index 0000000000..b5c2a35cc7 --- /dev/null +++ b/data/questions/94/b0/6ce00e00d59a.json @@ -0,0 +1 @@ +{"content":"The figure below shows a pyramid whose base is a $6\\times 6$ square and whose height is $6$. \n\n![square pyramid, horizontal slice](https://ka-perseus-graphie.s3.amazonaws.com/4e6db0b061f7d0aaab47e90516b4d1a2b8bb2023.png)\n\n**Draw the shape of a horizontal slice through the pyramid.**\n\nClick below to add vertices and draw all the sides of the shape. Drag the vertices if you need to change the lengths of the sides.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/4e6db0b061f7d0aaab47e90516b4d1a2b8bb2023.png":{"height":359,"width":399}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0.5,3.5],[3.5,3.5],[3.5,0.5],[0.5,0.5]],"match":"similar","numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/dd/e1fd04cf7f0a.json b/data/questions/94/dd/e1fd04cf7f0a.json new file mode 100644 index 0000000000..0afa2692d2 --- /dev/null +++ b/data/questions/94/dd/e1fd04cf7f0a.json @@ -0,0 +1 @@ +{"content":"Chris examines a salt crystal under his microscope. He finds that it is a cube with each side length $6$ millimeters.\n\n**Draw one square face of the crystal on the grid below.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8fff66349d616c802314eb90a7c5b39aaef5aa12.png","width":400},"correct":{"coords":[[1,-1],[1,7],[-7,7],[-7,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/de/5d5fa5c6524c.json b/data/questions/94/de/5d5fa5c6524c.json new file mode 100644 index 0000000000..a79294edc8 --- /dev/null +++ b/data/questions/94/de/5d5fa5c6524c.json @@ -0,0 +1 @@ +{"content":"\"You seem in need of a puzzle to solve!\" Kitt exclaims, a grin on his handsome face. \"Draw me a square with a quarter of the area of a $12\\text{ cm}$ by $12\\text{ cm}$ square, and make sure you draw it to scale!\"\n\n**Kitt's wish is your command. Draw the square he described by moving the points on the grid below.**\n\n(have the scale on the grid be 3 units to 2 cm)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/eb/714d437c367b.json b/data/questions/94/eb/714d437c367b.json new file mode 100644 index 0000000000..335f4cb666 --- /dev/null +++ b/data/questions/94/eb/714d437c367b.json @@ -0,0 +1 @@ +{"content":"crwdns3139203:0$M$crwdnd3139203:0$6$crwdnd3139203:0$Mcrwdne3139203:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/abb7badd6d905be6a59bd5e3f7411f460ec8abb0":{"height":425,"width":425}},"widgets":{"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3139236:0$A$crwdne3139236:0","correct":false},{"content":"crwdns3139237:0$B$crwdne3139237:0","correct":false},{"content":"crwdns3139238:0$C$crwdne3139238:0","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/94/fd/64354de1ae4f.json b/data/questions/94/fd/64354de1ae4f.json new file mode 100644 index 0000000000..0dc6b396ec --- /dev/null +++ b/data/questions/94/fd/64354de1ae4f.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/0c/990beb9e4c3a.json b/data/questions/95/0c/990beb9e4c3a.json new file mode 100644 index 0000000000..66a58f4830 --- /dev/null +++ b/data/questions/95/0c/990beb9e4c3a.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+(y-1)^2=64$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-1,1],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/25/fe5d5774a533.json b/data/questions/95/25/fe5d5774a533.json new file mode 100644 index 0000000000..ee621a159d --- /dev/null +++ b/data/questions/95/25/fe5d5774a533.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-6$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-7,7],[-7,7]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-4,-6],[4,-6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/28/6e21e2da16d0.json b/data/questions/95/28/6e21e2da16d0.json new file mode 100644 index 0000000000..530f74ed72 --- /dev/null +++ b/data/questions/95/28/6e21e2da16d0.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $PINE$ after the rotation $R_{270^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/13dbfbf24a594d5ed6e9f57a61e2336a1b282d67.png","width":425},"correct":{"coords":[[6,-7],[5,-2],[3,-3],[2,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/2d/7b445dfe8bc5.json b/data/questions/95/2d/7b445dfe8bc5.json new file mode 100644 index 0000000000..f688e1d7fb --- /dev/null +++ b/data/questions/95/2d/7b445dfe8bc5.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm","exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/42/5ee9c53e61a5.json b/data/questions/95/42/5ee9c53e61a5.json new file mode 100644 index 0000000000..61a5e872e2 --- /dev/null +++ b/data/questions/95/42/5ee9c53e61a5.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=7+3i$ \n* $ w=9-i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4.5},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[9,-1],[-2,4],[8,1],[7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/50/8baa07e4fa04.json b/data/questions/95/50/8baa07e4fa04.json new file mode 100644 index 0000000000..791a466281 --- /dev/null +++ b/data/questions/95/50/8baa07e4fa04.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42b8844cf290cdaffa4dbb4bb5e7cd7026c6f25e","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/5b/70c6a5e33dda.json b/data/questions/95/5b/70c6a5e33dda.json new file mode 100644 index 0000000000..958cc5dadd --- /dev/null +++ b/data/questions/95/5b/70c6a5e33dda.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=x^2-4x+5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,1],[0,5]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/5d/8da5c19c13ef.json b/data/questions/95/5d/8da5c19c13ef.json new file mode 100644 index 0000000000..11f549f80a --- /dev/null +++ b/data/questions/95/5d/8da5c19c13ef.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(1, 6.5), (-2, 2), (-3, -1), (-2, -3), (8, 0), (6, 5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6.5],[-2,2],[-3,-1],[-2,-3],[8,0],[6,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/78/a590cf59b33f.json b/data/questions/95/78/a590cf59b33f.json new file mode 100644 index 0000000000..bdd7c2ad1d --- /dev/null +++ b/data/questions/95/78/a590cf59b33f.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{10}{7}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{10}{7}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is\n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=10/7x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,10]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/8e/f88528beb0d3.json b/data/questions/95/8e/f88528beb0d3.json new file mode 100644 index 0000000000..b7f6827d5d --- /dev/null +++ b/data/questions/95/8e/f88528beb0d3.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(2, 9\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,9]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/ac/4140bd9128ed.json b/data/questions/95/ac/4140bd9128ed.json new file mode 100644 index 0000000000..7662d5b837 --- /dev/null +++ b/data/questions/95/ac/4140bd9128ed.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=x(2x+3)(x-1)(x+2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,0],[-1.5,0],[1,0],[-2,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/c5/5e5658d2ee9d.json b/data/questions/95/c5/5e5658d2ee9d.json new file mode 100644 index 0000000000..6ff1bffb47 --- /dev/null +++ b/data/questions/95/c5/5e5658d2ee9d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -10x -10y +25=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[5,5],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/c5/6720e54bfa15.json b/data/questions/95/c5/6720e54bfa15.json new file mode 100644 index 0000000000..67f1d6daa6 --- /dev/null +++ b/data/questions/95/c5/6720e54bfa15.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599c6aecef56b5ca5cc9c222590354c5603561fa","width":430},"correct":{"coords":[[-2,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/ce/dfb92777229a.json b/data/questions/95/ce/dfb92777229a.json new file mode 100644 index 0000000000..23c44de157 --- /dev/null +++ b/data/questions/95/ce/dfb92777229a.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/20cb7152ae355802f7fe19491d84021cccd47125)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/7052632393790eec27a335d6f1e4b6137267dc39.png":{"height":236,"width":125},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/20cb7152ae355802f7fe19491d84021cccd47125":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["ṔṖóòíìńňťț","ṼṾáàĺľúùéè"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-\\dfrac54$","$-0.5$","$2$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/db/903862240651.json b/data/questions/95/db/903862240651.json new file mode 100644 index 0000000000..6c112ea9a4 --- /dev/null +++ b/data/questions/95/db/903862240651.json @@ -0,0 +1 @@ +{"content":"crwdns3474917:0crwdne3474917:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/e0/b1be88b3e11d.json b/data/questions/95/e0/b1be88b3e11d.json new file mode 100644 index 0000000000..ee32257b2d --- /dev/null +++ b/data/questions/95/e0/b1be88b3e11d.json @@ -0,0 +1 @@ +{"content":"crwdns6412427:0$ABCD$crwdnd6412427:0$2$crwdnd6412427:0$5$crwdne6412427:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/33a2a5c04e8d8c2bea17a91f664c1a678371f18d","width":425},"correct":{"coords":[[5,-6],[6,-4],[-3,-2],[-2,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/e5/ab920e241873.json b/data/questions/95/e5/ab920e241873.json new file mode 100644 index 0000000000..d70cffb48e --- /dev/null +++ b/data/questions/95/e5/ab920e241873.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube of side length $6$. \n\n![cube vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the cube.** \n\nAssume the slice is parallel to one of the faces of the cube.\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png":{"height":397,"width":304}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.5,1.5],[7.5,7.5],[1.5,7.5],[1.5,1.5]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"grid","range":[[0,10],[0,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/95/ff/3b413a8ad994.json b/data/questions/95/ff/3b413a8ad994.json new file mode 100644 index 0000000000..bb05502a9f --- /dev/null +++ b/data/questions/95/ff/3b413a8ad994.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{10}{7}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{10}{7}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is\n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=10/7x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,10]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/0b/5dd9c30b4532.json b/data/questions/96/0b/5dd9c30b4532.json new file mode 100644 index 0000000000..22d13d3333 --- /dev/null +++ b/data/questions/96/0b/5dd9c30b4532.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d8242f544fbba5a75118458d7fcdffdffa17e5fe","width":425},"correct":{"coords":[[-3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/0e/8b51db005fa5.json b/data/questions/96/0e/8b51db005fa5.json new file mode 100644 index 0000000000..a60d04dccd --- /dev/null +++ b/data/questions/96/0e/8b51db005fa5.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $DOVE$ after reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5a8bc4f83cf9f91bd1ffc033d1f1f504d43ce5cf.png","width":425},"correct":{"coords":[[4,5],[2,3],[6,4],[8,7]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/96/18/ede920b4b2f1.json b/data/questions/96/18/ede920b4b2f1.json new file mode 100644 index 0000000000..d4e1512b6a --- /dev/null +++ b/data/questions/96/18/ede920b4b2f1.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Subtract $2$ from $x$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$8$ | [[☃ numeric-input 1]]\n$6$ | [[☃ numeric-input 2]]\n$4$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[4,2],[6,4],[8,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/1a/5636d613935e.json b/data/questions/96/1a/5636d613935e.json new file mode 100644 index 0000000000..59d2449f9e --- /dev/null +++ b/data/questions/96/1a/5636d613935e.json @@ -0,0 +1 @@ +{"content":"**Construct a $90^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/187e403b057d06ed5994eb427f7a6ed140bf76f2.png":{"height":172,"width":172},"https://ka-perseus-images.s3.amazonaws.com/60b8fea2f9c36cc28d4b71f39ada0d288c40e11e.png":{"height":387,"width":359}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-0.5275737288297861],[0,-9],[-8.765495424367186,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/32/2dbdbc9df247.json b/data/questions/96/32/2dbdbc9df247.json new file mode 100644 index 0000000000..602d4e09b0 --- /dev/null +++ b/data/questions/96/32/2dbdbc9df247.json @@ -0,0 +1 @@ +{"content":"crwdns3457593:0$(x-2)crwdne3457593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,0],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/3e/18069bd2f1c9.json b/data/questions/96/3e/18069bd2f1c9.json new file mode 100644 index 0000000000..b033a23ee7 --- /dev/null +++ b/data/questions/96/3e/18069bd2f1c9.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ZAP}$ is rotated $-180^\\circ$ about the point $(-5,1)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5012f1a530dfb24e356b4a927cf9bcb459622144","width":425},"correct":{"coords":[[-8,-1],[-2,-1],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/3f/bca8f5237e75.json b/data/questions/96/3f/bca8f5237e75.json new file mode 100644 index 0000000000..2358146ee6 --- /dev/null +++ b/data/questions/96/3f/bca8f5237e75.json @@ -0,0 +1 @@ +{"content":"**Construct a $100^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/93a18d5bd6725c68ae6719b74dc144d4277dfab8.png":{"height":182,"width":193}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1.4747929227018772,-0.6360337097799817],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/56/4908ddeb8a11.json b/data/questions/96/56/4908ddeb8a11.json new file mode 100644 index 0000000000..2b64c9a372 --- /dev/null +++ b/data/questions/96/56/4908ddeb8a11.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a8bd89b7039929192cdde289cd5075fe421921a","width":425},"correct":{"coords":[[-16,-3],[8,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-20,20],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,1],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/73/f169c08498b2.json b/data/questions/96/73/f169c08498b2.json new file mode 100644 index 0000000000..733c424d47 --- /dev/null +++ b/data/questions/96/73/f169c08498b2.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{2}{3}(x +7)(x +1)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-4,-6],[-7,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/89/ee30c67fcb47.json b/data/questions/96/89/ee30c67fcb47.json new file mode 100644 index 0000000000..6911263669 --- /dev/null +++ b/data/questions/96/89/ee30c67fcb47.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(-6, 6)$.** \n$$ \n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9837fe65e4d705c96c0055fa9368d31ceec749f)\n\n**What is located $5$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9837fe65e4d705c96c0055fa9368d31ceec749f":{"height":425,"width":425}},"widgets":{"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":true},{"content":"Point $C$","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/90/14c7aab15cf1.json b/data/questions/96/90/14c7aab15cf1.json new file mode 100644 index 0000000000..e9f17cb65f --- /dev/null +++ b/data/questions/96/90/14c7aab15cf1.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=3\\sin(2x-\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[1,2],[1.5,5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/a6/110685ddd663.json b/data/questions/96/a6/110685ddd663.json new file mode 100644 index 0000000000..50b27f0d46 --- /dev/null +++ b/data/questions/96/a6/110685ddd663.json @@ -0,0 +1 @@ +{"content":"crwdns3389868:0$R$crwdnd3389868:0$Rcrwdnd3389868:0{array}crwdnd3389868:0{ccc}crwdnd3389868:0{array}crwdne3389868:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6e51ad1346ae10a7cf169c11fb580828b7ae101a","width":425},"correct":{"coords":[[0,-9],[9,3],[6,9],[-6,9],[-6,3]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/af/263a547eae80.json b/data/questions/96/af/263a547eae80.json new file mode 100644 index 0000000000..fab8f47a8a --- /dev/null +++ b/data/questions/96/af/263a547eae80.json @@ -0,0 +1 @@ +{"content":"The variable $y$ is proportional to the variable $x$. The constant of proportionality is $4$.\n\n**Draw the graph of $y$ as a function of $x$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[1,4]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/af/27768a46f07f.json b/data/questions/96/af/27768a46f07f.json new file mode 100644 index 0000000000..fe6d82b220 --- /dev/null +++ b/data/questions/96/af/27768a46f07f.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 4+9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/af/49569fdfa2b3.json b/data/questions/96/af/49569fdfa2b3.json new file mode 100644 index 0000000000..b7a67f67c6 --- /dev/null +++ b/data/questions/96/af/49569fdfa2b3.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$61$|$-31$|$71$|$101$|$-11$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bc3d431242174bec47c29a8a864032066e6d5770","width":400},"correct":{"coords":[[[-5,6],[5,-1]],[[-5,3],[5,5]],[[-5,0],[5,-4]],[[-5,-3],[5,-7]],[[-5,-6],[5,2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/96/ba/3c3f948011d3.json b/data/questions/96/ba/3c3f948011d3.json new file mode 100644 index 0000000000..1f952c36b3 --- /dev/null +++ b/data/questions/96/ba/3c3f948011d3.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a reflection across line $n$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/88700d6be4b7337708d1d6eedafed7b24a8b2ab3","width":400},"correct":{"coords":[[5,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/c5/0ec3f815bb48.json b/data/questions/96/c5/0ec3f815bb48.json new file mode 100644 index 0000000000..6d1c038081 --- /dev/null +++ b/data/questions/96/c5/0ec3f815bb48.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable pentagon to construct the image of pentagon $PERCH$ after a translation by $\\langle8,-5\\rangle$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/889b71f6f8624d149fcddec0f120804c04f124ed.png","width":425},"correct":{"coords":[[6,-1],[5,2],[0,1],[1,-2],[4,-3]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/96/cb/a66e414701af.json b/data/questions/96/cb/a66e414701af.json new file mode 100644 index 0000000000..7d6f4136f3 --- /dev/null +++ b/data/questions/96/cb/a66e414701af.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-5|-7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,-7],[0,-2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/d7/df182bb64bda.json b/data/questions/96/d7/df182bb64bda.json new file mode 100644 index 0000000000..8c5a792a2a --- /dev/null +++ b/data/questions/96/d7/df182bb64bda.json @@ -0,0 +1 @@ +{"content":"Here is the graph of a quadratic function $f$.\n\n[[☃ image 1]]\n\n**Write the equation that defines $f$ in standard form.**\n\n$f(x)=$ [[☃ expression 1]] ","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"buttonSets":["basic"],"buttonsVisible":"focused","considered":"correct","form":true,"functions":["f","g","h"],"key":0,"linterContext":{"contentType":"","highlightLint":false,"paths":[],"stack":[]},"simplify":false,"times":false,"value":"-2x^{2}-2x+40"}],"buttonSets":["basic"],"functions":["f","g","h"],"static":false,"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 80 to 80. The quadratic function is concave down, has x intercepts at (negative 5, 0) and (4, 0), and an f of x intercept at (0, 40).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a34f9b82dfb9fb1daa438a3abba2e079500b24f","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"type":"quadratic"},"graph":{"type":"quadratic"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/f6/56f75e45423c.json b/data/questions/96/f6/56f75e45423c.json new file mode 100644 index 0000000000..072373d869 --- /dev/null +++ b/data/questions/96/f6/56f75e45423c.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=2x^2-5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-5],[1,-3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/96/f6/d15d21b5268a.json b/data/questions/96/f6/d15d21b5268a.json new file mode 100644 index 0000000000..8e5086667c --- /dev/null +++ b/data/questions/96/f6/d15d21b5268a.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{4}(x -2)(x +6)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,4],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/05/6f0b20dfaf20.json b/data/questions/97/05/6f0b20dfaf20.json new file mode 100644 index 0000000000..84bceb90a8 --- /dev/null +++ b/data/questions/97/05/6f0b20dfaf20.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+y^2=81$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,0],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/0b/a8adc4025c68.json b/data/questions/97/0b/a8adc4025c68.json new file mode 100644 index 0000000000..e57c3e0a16 --- /dev/null +++ b/data/questions/97/0b/a8adc4025c68.json @@ -0,0 +1 @@ +{"content":"crwdns3138687:0crwdne3138687:0","images":{"https://ka-perseus-images.s3.amazonaws.com/0a54c523c05b0d8ce3ff1e9a6ea03756b9b3e711.png":{"height":236,"width":142},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/644f019558e05465669728576c1033e53f6aa4d5":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["crwdns3138694:0crwdne3138694:0","crwdns3138734:0crwdne3138734:0"],"left":["crwdns3138671:0{A}crwdne3138671:0","crwdns3138646:0{B}crwdne3138646:0","crwdns3138662:0{C}crwdne3138662:0"],"orderMatters":false,"padding":true,"right":["crwdns3215388:0$1$crwdne3215388:0","crwdns3138650:0crwdne3138650:0","crwdns3138634:0crwdne3138634:0"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/1e/619676c8adf8.json b/data/questions/97/1e/619676c8adf8.json new file mode 100644 index 0000000000..e367de5ddb --- /dev/null +++ b/data/questions/97/1e/619676c8adf8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-1,-3)$, and which has the point $(-7,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/2a/88c698841baa.json b/data/questions/97/2a/88c698841baa.json new file mode 100644 index 0000000000..35cf46f2e1 --- /dev/null +++ b/data/questions/97/2a/88c698841baa.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e0d5303a6887f5c393fdb13c47d2916e1bdd92e5","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[2,8],[8,2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/2d/6482e413e51e.json b/data/questions/97/2d/6482e413e51e.json new file mode 100644 index 0000000000..ddd1e13569 --- /dev/null +++ b/data/questions/97/2d/6482e413e51e.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/35af55fd8ca1fd970e15b47edce06cad89333c3f","width":425},"correct":{"coords":[[1,1],[1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/31/fee7188251a9.json b/data/questions/97/31/fee7188251a9.json new file mode 100644 index 0000000000..f97a3509d7 --- /dev/null +++ b/data/questions/97/31/fee7188251a9.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(1.5,3)$ and has a radius of $0.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1.5,3],"radius":0.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/41/ac6bbe276a54.json b/data/questions/97/41/ac6bbe276a54.json new file mode 100644 index 0000000000..4fe21e0bc0 --- /dev/null +++ b/data/questions/97/41/ac6bbe276a54.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ec811f8a8b4fc25afea1ad8f64d4211ded4d8ba","width":425},"correct":{"coords":[[7,-1],[-5,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/42/ae98c733bb90.json b/data/questions/97/42/ae98c733bb90.json new file mode 100644 index 0000000000..41cfa21389 --- /dev/null +++ b/data/questions/97/42/ae98c733bb90.json @@ -0,0 +1 @@ +{"content":"Dexter plans and records his spending. In the coordinate plane below, the $x$-axis represents the number of days before or after today. For example, $-1$ would represent yesterday. The $y$-axis represents the amount of money Dexter planned to spend in dollars. The points $(-5, 8)$ and $(2, 8)$ represent Dexter's planned spending on two separate days.\n\n**Plot the two points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many days separate the two days Dexter planned to spend $\\$8$ ?** \n\n[[☃ input-number 1]] days\n\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-5,8],[2,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x (\\text{days})","y (\\text{dollars})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/44/474ce9b642fa.json b/data/questions/97/44/474ce9b642fa.json new file mode 100644 index 0000000000..378437594a --- /dev/null +++ b/data/questions/97/44/474ce9b642fa.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism whose base is a $3\\times 3$ square and whose height is $6$. \n\n![square prism vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/94bf14f4775048a20e633abd42558d8e108ecfab.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the prism.** \n\nAssume the vertical slice is parallel to one of the sides of the prism.\n\n[[☃ interactive-graph 1]] ","images":{"https://ka-perseus-graphie.s3.amazonaws.com/94bf14f4775048a20e633abd42558d8e108ecfab.png":{"height":400,"width":200}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,1],[4,7],[1,7],[1,1]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[0,9],[0,9]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/54/f936adb1a9a0.json b/data/questions/97/54/f936adb1a9a0.json new file mode 100644 index 0000000000..1c008b46f6 --- /dev/null +++ b/data/questions/97/54/f936adb1a9a0.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = \\dfrac{2}{3}f(x)+7$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-3,5],[3,9]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/73/2bf09cce0ded.json b/data/questions/97/73/2bf09cce0ded.json new file mode 100644 index 0000000000..b3e47add06 --- /dev/null +++ b/data/questions/97/73/2bf09cce0ded.json @@ -0,0 +1 @@ +{"content":"crwdns3295084:0$2012$crwdnd3295084:0$9$crwdnd3295084:0$8$crwdnd3295084:0$4$crwdnd3295084:0$4$crwdnd3295084:0$3$crwdnd3295084:0$2$crwdnd3295084:0$13$crwdnd3295084:0$4$crwdnd3295084:0$4$crwdnd3295084:0$1$crwdnd3295084:0$1$crwdnd3295084:0$4$crwdne3295084:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[9,13],[8,4],[4,4],[4,1],[3,1],[2,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3886631:0{Gold}crwdne3886631:0","crwdns3886640:0{Silver}crwdne3886640:0"],"markings":"graph","range":[[-1,10],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/7b/307e29121163.json b/data/questions/97/7b/307e29121163.json new file mode 100644 index 0000000000..a327009a57 --- /dev/null +++ b/data/questions/97/7b/307e29121163.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=x(2x+5)(x+1)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[-2.5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/7d/a1b2336af51e.json b/data/questions/97/7d/a1b2336af51e.json new file mode 100644 index 0000000000..538eb08d20 --- /dev/null +++ b/data/questions/97/7d/a1b2336af51e.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-8,8)$, and the upper-right coordinates are $(-3,8)$. The rectangle has an area of $15$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-3,5],[-3,8],[-8,8],[-8,5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/7d/b4b780707024.json b/data/questions/97/7d/b4b780707024.json new file mode 100644 index 0000000000..900ca4cb6b --- /dev/null +++ b/data/questions/97/7d/b4b780707024.json @@ -0,0 +1 @@ +{"content":"** Which of the following is a solution to the equation below?**\n \n $\\qquad 5|x - 7| + 4 = -2|x - 7| + 10 $\n\n[[☃ radio 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":false},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"You might have made a sign error.","content":"$-\\dfrac{55}{7}$","correct":false},{"clue":"Check your signs.","content":"$-\\dfrac{43}{7}$","correct":false},{"content":" $\\dfrac{43}{7}$","correct":true},{"clue":"Check your calculations again. There are solutions!","content":"There are no solutions.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/7f/08658c2246d8.json b/data/questions/97/7f/08658c2246d8.json new file mode 100644 index 0000000000..bea21f1d00 --- /dev/null +++ b/data/questions/97/7f/08658c2246d8.json @@ -0,0 +1 @@ +{"content":"Consider this number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d7f753af808719e2cd876bb3a71775c740799da2)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]] \n\n\n\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d7f753af808719e2cd876bb3a71775c740799da2":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$1.5$","$-\\dfrac13$","$-\\dfrac43$"]},"type":"matcher","version":{"major":0,"minor":0}},"matcher 2":{"graded":true,"options":{"labels":["test","label"],"left":["$x$","$y$","$z$"],"orderMatters":false,"padding":true,"right":["$1$","$2$","$3$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"orderer 1":{"graded":true,"options":{"correctOptions":[{"content":"$x$"}],"height":"normal","layout":"horizontal","options":[{"content":"$x$"},{"content":"$y$"}],"otherOptions":[{"content":"$y$"}]},"type":"orderer","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}},"table 1":{"graded":true,"options":{"answers":[["a",""],["b",""],["c",""]],"columns":2,"headers":["",""],"rows":3},"type":"table","version":{"major":0,"minor":0}},"transformer 1":{"graded":true,"options":{"correct":{"shape":{"coords":[[2,2],[2,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"drawSolutionShape":true,"gradeEmpty":false,"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"dynamic","starting":{"shape":{"coords":[[2,2],[2,6],[7,2]],"type":"polygon-3"},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":true,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[2,-4],[2,2]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":true,"required":false},"translation":{"constraints":{},"enabled":true,"required":false}},"version":1.2},"type":"transformer","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/8d/047e46720d60.json b/data/questions/97/8d/047e46720d60.json new file mode 100644 index 0000000000..8098f94562 --- /dev/null +++ b/data/questions/97/8d/047e46720d60.json @@ -0,0 +1 @@ +{"content":"The line $y= -5x+6$, and the point $(1,-4)$ are shown in the graph below.\n\n**Find the inequalities that make $(1,-4)$ a part of the solution set.**\n\n$\\qquad$ [[☃ expression 1]]\n\n$\\qquad$ [[☃ expression 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/76b7e08335e444ba1d3a24606b3a04ee320ff2ff) ","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/76b7e08335e444ba1d3a24606b3a04ee320ff2ff":{"width":425,"height":425}},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"y<-5x+6","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"expression 2":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"y\\le-5x+6","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Solid line","correct":false,"clue":"Would (1,-4) not be a solution if the line is dashed?"},{"content":"Dashed line","correct":false,"clue":"Would (1,-4) not be a solution if the line is solid?"},{"isNoneOfTheAbove":false,"correct":true,"content":"The line can be either solid or dashed"}],"randomize":false,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1,1],[0,6]]}},"version":{"major":0,"minor":0}},"dropdown 1":{"type":"dropdown","graded":true,"options":{"placeholder":"","choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":0.5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/8d/80fd808f58ab.json b/data/questions/97/8d/80fd808f58ab.json new file mode 100644 index 0000000000..75ecdf3cec --- /dev/null +++ b/data/questions/97/8d/80fd808f58ab.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 3|x-5|-7, ~~\\text{Domain}~~[0,9]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-7"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[9,5],[5,-7]],[[0,8],[5,-7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/91/b0e6dc522235.json b/data/questions/97/91/b0e6dc522235.json new file mode 100644 index 0000000000..d5eb6a7093 --- /dev/null +++ b/data/questions/97/91/b0e6dc522235.json @@ -0,0 +1 @@ +{"content":"A group of biology students are interested in the effect of pH on enzyme activity. They measure the activity of enzymes A and B at various pH values and plot their data, as shown in the graph below.\n\n[[☃ image 1]]\n\n**A solution of enzyme A has a pH of $8$. Based on the graph, which pH change would result in higher enzyme activity?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[400,325],"backgroundImage":{"url":"https://ka-perseus-images.s3.amazonaws.com/01d138e3cf9df665fddb2d4787590ffc2b8bc481.png","width":400,"height":325},"labels":[],"alt":"The x axis on the line graph is labeled pH and has labels at 2,4,6,8,10, 12, and 14. The y axis is labeled enzyme activity. There are no marks on the y axis. There are 2 colored lines on the graph, with a key labeled A blue line and B red line. Line A begins at pH 2 and the origin of the y axis, rises sharply and peaks at pH 6, then declines sharply and returns to the y axis origin at pH 10. Line B begins at pH 6 and the origin of the y axis, rises sharply and peaks at pH 10, then declines sharply and returns to the y axis at pH 14. The peaks of Line A and Line B are at the same enzyme activity level.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"content":"decreasing the pH of the solution to $4$","correct":false,"clue":"According to the graph, enzyme A is slightly *less*, not more, active at pH $4$ than at pH $8$. So, decreasing the pH of the solution from $8$ to $4$ would *not* result in higher enzyme activity."},{"content":"decreasing the pH of the solution to $6$","correct":true,"clue":"According to the graph, enzyme A is more active at pH $6$ than at pH $8$. So, decreasing the pH of the solution from $8$ to $6$ would result in higher enzyme activity. "},{"content":"increasing the pH of the solution to $10$","correct":false,"clue":"According to the graph, enzyme A is *less*, not more, active at pH $10$ than at pH $8$. So, increasing the pH of the solution from $8$ to $10$ would *not* result in higher enzyme activity."},{"isNoneOfTheAbove":false,"content":"increasing the pH of the solution to $12$","clue":"According to the graph, enzyme A is inactive at pH $12$. So, increasing the pH of the solution from $8$ to $12$ would *not* result in higher enzyme activity.","correct":false}],"displayCount":null,"randomize":false,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/97/91/c83010b91c88.json b/data/questions/97/91/c83010b91c88.json new file mode 100644 index 0000000000..d5293ddfcc --- /dev/null +++ b/data/questions/97/91/c83010b91c88.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-5,1)$ and has a radius of $4$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,1],"radius":4,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/99/59ecc7b3798e.json b/data/questions/97/99/59ecc7b3798e.json new file mode 100644 index 0000000000..562adc15bc --- /dev/null +++ b/data/questions/97/99/59ecc7b3798e.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-4,4)$, and the upper-right coordinates are $(4,4)$. The rectangle has an area of $8$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,3],[4,4],[-4,4],[-4,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/bc/7dc9bbfcd801.json b/data/questions/97/bc/7dc9bbfcd801.json new file mode 100644 index 0000000000..e701310ce5 --- /dev/null +++ b/data/questions/97/bc/7dc9bbfcd801.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe9d0ee00589c15a6dda6e7b802064bbbb25c7e5","width":430},"correct":{"coords":[[0,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/c5/51832323c4f4.json b/data/questions/97/c5/51832323c4f4.json new file mode 100644 index 0000000000..966810f7ec --- /dev/null +++ b/data/questions/97/c5/51832323c4f4.json @@ -0,0 +1 @@ +{"content":"The cost to park in the downtown parking lot depends on the number of hours you park your car for. \n\n| | ||\n- | :-: | :-:| :-:| :-:\nHours parked | $1$ | $5$| $12$ \nCost (in dollars) | $4$ | $10$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the cost of parking proportional to the number of hours parked?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,4],[5,10],[12,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Hours}$","$\\text{Cost}$"],"markings":"graph","range":[[-2,22],[-2,22]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ýéèśŝ","correct":false},{"content":"ŃŇóò","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/97/ea/604ca3e47300.json b/data/questions/97/ea/604ca3e47300.json new file mode 100644 index 0000000000..f292291071 --- /dev/null +++ b/data/questions/97/ea/604ca3e47300.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/efd7eae128d19f3c41b88ac2ee2daba87a0c63ed","width":400},"correct":{"coords":[[6,3]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/f3/101e999aa4f1.json b/data/questions/97/f3/101e999aa4f1.json new file mode 100644 index 0000000000..d1a8b8e576 --- /dev/null +++ b/data/questions/97/f3/101e999aa4f1.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(−8,9), (−9,7), (−9,4), (−3,5), (−4,9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":"unlimited","snapTo":"grid"},"correct":{"type":"polygon","numSides":"unlimited","coords":[[-8,9],[-9,7],[-9,4],[-3,5],[-4,9]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/f8/bea3781a219d.json b/data/questions/97/f8/bea3781a219d.json new file mode 100644 index 0000000000..b4f6869e4b --- /dev/null +++ b/data/questions/97/f8/bea3781a219d.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0fa61c4b55d56b8509bb4d7dfd3e79d0ca6b238e","width":425},"correct":{"coords":[[2,-6],[6,0],[0,-7]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/97/fa/1dbb0e55b3d3.json b/data/questions/97/fa/1dbb0e55b3d3.json new file mode 100644 index 0000000000..558ba7f6aa --- /dev/null +++ b/data/questions/97/fa/1dbb0e55b3d3.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nAt Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | |\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,25],[-2,13]],"gridStep":[1,1],"snapStep":[1,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[8,5],[16,8],[24,10]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/98/0f/9d98fdafd2de.json b/data/questions/98/0f/9d98fdafd2de.json new file mode 100644 index 0000000000..a7ad5ac4ac --- /dev/null +++ b/data/questions/98/0f/9d98fdafd2de.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the final point after reflecting point $A$ across the $x$-axis and then across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a16c9a571c62dbb4379f03fefedc9d68f70ad02","width":400},"correct":{"coords":[[-4,-4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/15/8b444b50e38c.json b/data/questions/98/15/8b444b50e38c.json new file mode 100644 index 0000000000..49cf50cee2 --- /dev/null +++ b/data/questions/98/15/8b444b50e38c.json @@ -0,0 +1 @@ +{"content":"crwdns3382821:0crwdne3382821:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,0],[11,0],[2,7],[11,7]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/1e/74489fea2925.json b/data/questions/98/1e/74489fea2925.json new file mode 100644 index 0000000000..01670749f8 --- /dev/null +++ b/data/questions/98/1e/74489fea2925.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=3f(x)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-2,-6],[3,9]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[3,3],"color":"grayH","filled":true},{"type":"point","coord":[-2,-2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}],"box":[288,288]},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false}],"randomize":true,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"dropdown 1":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"up/down","choices":[{"content":"up","correct":false},{"content":"down","correct":true}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false},"version":{"major":0,"minor":0}},"dropdown 2":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"right/left","choices":[{"content":"right","correct":true},{"content":"left","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/25/2ff5130c2308.json b/data/questions/98/25/2ff5130c2308.json new file mode 100644 index 0000000000..701812fa62 --- /dev/null +++ b/data/questions/98/25/2ff5130c2308.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=3\\cos(\\pi x+4\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3.5,2],[-4,5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/3a/92e14c348ca6.json b/data/questions/98/3a/92e14c348ca6.json new file mode 100644 index 0000000000..fa4a90d32d --- /dev/null +++ b/data/questions/98/3a/92e14c348ca6.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $4$\n\nPattern $y$: Starting number: $4$, Rule: add $2$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[12,6],[16,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/4d/07aa0b988bb6.json b/data/questions/98/4d/07aa0b988bb6.json new file mode 100644 index 0000000000..0933f6bd37 --- /dev/null +++ b/data/questions/98/4d/07aa0b988bb6.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local grocery store is shown below. Hot dogs are located at the point $(6,4)$. Mustard is located at the point $(6,-3)$.\n\n**Plot the hot dogs and mustard on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far are the hot dogs from the mustard?** \n[[☃ input-number 1]] units\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,-3],[6,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/4f/dd1039244132.json b/data/questions/98/4f/dd1039244132.json new file mode 100644 index 0000000000..95ae913a9d --- /dev/null +++ b/data/questions/98/4f/dd1039244132.json @@ -0,0 +1 @@ +{"content":"Here's a graph of an exponential function $h$.\n\n[[☃ image 1]]\n\n**What's the range of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3b0f05ece4790532bf09b9bbf51be29e8d3c7377","width":265,"height":265},"labels":[],"alt":"A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 3, 2). There is a curve from this point upwards and to the left, ending in an arrow at the edge of the graph.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"$h(x)>2$"},{"correct":false,"content":"$h(x)<2$"},{"isNoneOfTheAbove":false,"correct":false,"content":"$h(x) < -3$"},{"isNoneOfTheAbove":false,"correct":false,"content":"$h(x) > -3$"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/98/55/20d5dc8debe1.json b/data/questions/98/55/20d5dc8debe1.json new file mode 100644 index 0000000000..b2df454530 --- /dev/null +++ b/data/questions/98/55/20d5dc8debe1.json @@ -0,0 +1 @@ +{"content":"crwdns3144316:0{LA}crwdne3144316:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/43a8afcf62dd7a3df9a95e6da4d06e4dc6e70cc6","width":425},"correct":{"coords":[[[8,-4],[6,1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/55/b5befdf4f928.json b/data/questions/98/55/b5befdf4f928.json new file mode 100644 index 0000000000..41928f0af5 --- /dev/null +++ b/data/questions/98/55/b5befdf4f928.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42b8844cf290cdaffa4dbb4bb5e7cd7026c6f25e","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/5a/8c34341b814f.json b/data/questions/98/5a/8c34341b814f.json new file mode 100644 index 0000000000..1d055d8976 --- /dev/null +++ b/data/questions/98/5a/8c34341b814f.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1eb68d0c4f945072381d1cac9e146878e74f2762","width":400},"correct":{"coords":[[5,-1],[5,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-5,6],[-5,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":24}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/5b/99d22db7bf6f.json b/data/questions/98/5b/99d22db7bf6f.json new file mode 100644 index 0000000000..129bf5c240 --- /dev/null +++ b/data/questions/98/5b/99d22db7bf6f.json @@ -0,0 +1 @@ +{"content":"Kyle looks at a map of his castle and frowns.\n\n(show smallish map on a grid with a certain scale)\n\n\"This map is too small!\" Kyle complains. \"You there! Peasant, draw me a bigger map!\"\n\n**Move the points to create a bigger map of Kyle's castle on the grid below.**\n\n(adjust the grid below to show a scale that's 2, 3, 4, or 5 times larger than the scale in the grid above)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/6c/48e183746505.json b/data/questions/98/6c/48e183746505.json new file mode 100644 index 0000000000..94b66f18ef --- /dev/null +++ b/data/questions/98/6c/48e183746505.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $FORT$ is reflected over the line $y=\\dfrac{1}{2}x+2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 8]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/64a1fc4318ce6d32779ca555616f1f8be00bfae0","width":425},"correct":{"coords":[[7,-4],[3,7],[7,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/372593c3d5d80add927a46faf6dde84144f0b4f1","width":425},"correct":{"coords":[[-5,2],[-3,-4],[-8,-7],[1,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea484ceafccc9b239ef9dda71abf7ece1d4ffb92","width":425},"correct":{"coords":[[-2,-7],[5,-5],[3,2],[3,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 7":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c4c060003d1e805c2ed442eaf9c7dbe3da8f78e","width":425},"correct":{"coords":[[-9,-3],[-5,-4],[9,1],[-4,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 8":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91bff50cb2ef573e2196866cf2ddc9c5675e4a0f","width":425},"correct":{"coords":[[-1,4],[4,9],[-5,7],[-8,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/6c/c4fdcc815e6d.json b/data/questions/98/6c/c4fdcc815e6d.json new file mode 100644 index 0000000000..e1e9b4174f --- /dev/null +++ b/data/questions/98/6c/c4fdcc815e6d.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(3,-3)$, and the upper-right coordinates are $(7,-3)$. The rectangle has an area of $16$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[7,-7],[7,-3],[3,-3],[3,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/8d/e2dfa4989ac8.json b/data/questions/98/8d/e2dfa4989ac8.json new file mode 100644 index 0000000000..a1d5f16c6d --- /dev/null +++ b/data/questions/98/8d/e2dfa4989ac8.json @@ -0,0 +1 @@ +{"content":"The graph of the function $f(x)=-\\dfrac{1}{4}x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=-\\dfrac{1}{4}(x+3)^2$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-3,0],[-1,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/950389501cb3ba2f3708c314114bf9fac36fa80d","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/98/6729c04287a6.json b/data/questions/98/98/6729c04287a6.json new file mode 100644 index 0000000000..0ace5a49af --- /dev/null +++ b/data/questions/98/98/6729c04287a6.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2^{x+1}-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-3],[10,-3]],"coords":[[0,-1],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/9f/0881845e453f.json b/data/questions/98/9f/0881845e453f.json new file mode 100644 index 0000000000..ec40097dbc --- /dev/null +++ b/data/questions/98/9f/0881845e453f.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-:|-:|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$3$|$1$|$2$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c7a57e7fa4207a6bffefcb44f24df2568adb3de","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,4]],[[-5,-6],[5,1]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/98/b1/817a00fccf52.json b/data/questions/98/b1/817a00fccf52.json new file mode 100644 index 0000000000..8f807bbf5f --- /dev/null +++ b/data/questions/98/b1/817a00fccf52.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-7\\sin\\left(\\dfrac{1}{4}x\\right)+1$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,1],[4,-6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/b4/70dafcab92a1.json b/data/questions/98/b4/70dafcab92a1.json new file mode 100644 index 0000000000..103fc8ed5d --- /dev/null +++ b/data/questions/98/b4/70dafcab92a1.json @@ -0,0 +1 @@ +{"content":"**Construct a $40^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6a9d47bff1d091f5641829ef730c752e47cb1fa5.png":{"height":188,"width":213},"https://ka-perseus-images.s3.amazonaws.com/9b8635d5383360d94418c0785ecac627bf2690b1.png":{"height":207,"width":376}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6.346730705020751,5.325539393764433],[0,0],[-7.530523827277034,1.7763568394002505e-15]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/df/1c900d58ccaf.json b/data/questions/98/df/1c900d58ccaf.json new file mode 100644 index 0000000000..7ba4cd06a0 --- /dev/null +++ b/data/questions/98/df/1c900d58ccaf.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-6,8)$ and $(0,8)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,8],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6},{"maxError":null,"message":"ŔŘéèḿṁéèḿṁƀḃéèŕř ťțĥȟáàťț ďđíìśŝťțáàńňćĉéè śŝĥȟóòúùĺľďđ áàĺľẃẁáàýśŝ ƀḃéè ṕṗóòśŝíìťțíìṽṿéè.","simplify":"required","status":"wrong","strict":false,"value":-6}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/e4/75de9d775dce.json b/data/questions/98/e4/75de9d775dce.json new file mode 100644 index 0000000000..bb6857ef46 --- /dev/null +++ b/data/questions/98/e4/75de9d775dce.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -2(4+x)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-4,0],[-3,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/f6/51ad62f8d787.json b/data/questions/98/f6/51ad62f8d787.json new file mode 100644 index 0000000000..1ccda71548 --- /dev/null +++ b/data/questions/98/f6/51ad62f8d787.json @@ -0,0 +1 @@ +{"content":"crwdns3897491:0crwdne3897491:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3c7be8f22da433d6b6f5c601e6541d6b0bbde8b3","width":425},"correct":{"coords":[[7,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/98/f9/e3c4a25e054f.json b/data/questions/98/f9/e3c4a25e054f.json new file mode 100644 index 0000000000..f9051996a4 --- /dev/null +++ b/data/questions/98/f9/e3c4a25e054f.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,4)$ and $(2,-8)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-8],[2,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12},{"maxError":null,"message":"□□□□□□□□ □□□□ □□□□□□□□ □□□□□□ □□□□□□ □□ □□□□□□□□.","simplify":"required","status":"wrong","strict":false,"value":-12}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/17/7cc0a348468a.json b/data/questions/99/17/7cc0a348468a.json new file mode 100644 index 0000000000..e978c178de --- /dev/null +++ b/data/questions/99/17/7cc0a348468a.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-x^2-6x-6$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,3],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/17/8ecd26461885.json b/data/questions/99/17/8ecd26461885.json new file mode 100644 index 0000000000..88bf7d448c --- /dev/null +++ b/data/questions/99/17/8ecd26461885.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x -12y +76=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[7,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/27/cc5f9eacaec3.json b/data/questions/99/27/cc5f9eacaec3.json new file mode 100644 index 0000000000..ab4a107d53 --- /dev/null +++ b/data/questions/99/27/cc5f9eacaec3.json @@ -0,0 +1 @@ +{"content":"**Graph $-9x+6y=18$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[-2,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/2b/c1f88355c48b.json b/data/questions/99/2b/c1f88355c48b.json new file mode 100644 index 0000000000..ee581e9d6b --- /dev/null +++ b/data/questions/99/2b/c1f88355c48b.json @@ -0,0 +1 @@ +{"content":"The graph below contains the line $\\overleftrightarrow{AB}$ and the point $P$. \n \n**Draw the image of $\\overleftrightarrow{AB}$ under a dilation whose center is $P$ and scale factor is $1\\!\\dfrac{1}{2}$.** \n \n[[☃ interactive-graph 1]]\n \n**Choose the correct description for the image of $\\overleftrightarrow{AB}$.** \n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/f80c1803902f5d235211fcc13667ccbd4e50972c.png","width":425},"correct":{"coords":[[6,-2],[-4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[2,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The image is the same line as $\\overleftrightarrow{AB}$.","correct":true},{"content":"The image is a line different from $\\overleftrightarrow{AB}$ but parallel to it.","correct":false},{"content":"The image is a line perpendicular to $\\overleftrightarrow{AB}$.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/35/1906fabb2974.json b/data/questions/99/35/1906fabb2974.json new file mode 100644 index 0000000000..d0214ad1bb --- /dev/null +++ b/data/questions/99/35/1906fabb2974.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(5,1)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,1]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/4c/31f05cb755aa.json b/data/questions/99/4c/31f05cb755aa.json new file mode 100644 index 0000000000..b75e7c1058 --- /dev/null +++ b/data/questions/99/4c/31f05cb755aa.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e9d2a697d9d5559254156921107881d1779fa67d","width":430},"correct":{"coords":[[3,7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/6d/98dbb4951ebc.json b/data/questions/99/6d/98dbb4951ebc.json new file mode 100644 index 0000000000..7cfecc15ad --- /dev/null +++ b/data/questions/99/6d/98dbb4951ebc.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm","exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/70/fdcb55a278a1.json b/data/questions/99/70/fdcb55a278a1.json new file mode 100644 index 0000000000..04d3cc5e2a --- /dev/null +++ b/data/questions/99/70/fdcb55a278a1.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/111e2f0c92a23c394190cc5a44b94827cc7bcf22","width":430},"correct":{"coords":[[0,-6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/71/11fa1fafacf6.json b/data/questions/99/71/11fa1fafacf6.json new file mode 100644 index 0000000000..274ee1fe45 --- /dev/null +++ b/data/questions/99/71/11fa1fafacf6.json @@ -0,0 +1 @@ +{"content":"crwdns3304144:0$Pcrwdnd3304144:0$P$crwdnd3304144:0{7}crwdnd3304144:0{2}crwdne3304144:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d0fb6ccfc1f3be4782a3a83cb4345e64c9e01","width":425},"correct":{"coords":[[-14,-4],[0,-11],[14,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/78/6e3c5353f8e8.json b/data/questions/99/78/6e3c5353f8e8.json new file mode 100644 index 0000000000..83cd72101d --- /dev/null +++ b/data/questions/99/78/6e3c5353f8e8.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=-4-3i$ \n* $ w=4+6i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":12},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[0,1.5],[-4,-3],[-8,-9],[4,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/7e/b97c293a18d0.json b/data/questions/99/7e/b97c293a18d0.json new file mode 100644 index 0000000000..a26dbabb0e --- /dev/null +++ b/data/questions/99/7e/b97c293a18d0.json @@ -0,0 +1 @@ +{"content":"The graph of the function $f(x)=x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=(x-2)^2-4$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2,-4],[4,0]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7bf46935d39daf9af99ee61919b7eb3b2ebc8077","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/8a/e785a2dade79.json b/data/questions/99/8a/e785a2dade79.json new file mode 100644 index 0000000000..5671267009 --- /dev/null +++ b/data/questions/99/8a/e785a2dade79.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{BFG}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/8f/28bacab1e7b0.json b/data/questions/99/8f/28bacab1e7b0.json new file mode 100644 index 0000000000..b8e00ada93 --- /dev/null +++ b/data/questions/99/8f/28bacab1e7b0.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism with a triangular base. The base of the prism has the shape of an equilateral triangle with side length $2$. The height of the prism is $3$.\n\n![prism with a triangular base](https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png)\n \n**Drag the corners of the triangle below to draw the shape of a horizontal slice through the prism.**\n\nThe starter triangle is only approximate. Draw the exact side lengths.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png":{"width":400,"height":280}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,4],[-1,4]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides"},"correct":{"type":"polygon","numSides":3,"coords":[[2.6199919742971387,0.853372332149325],[1.4999999999999998,2.510362971081844],[0.6250000000000016,0.7119261498395746]],"match":"similar","showSides":true,"showAngles":false,"snapTo":"sides"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/91/5049311bba99.json b/data/questions/99/91/5049311bba99.json new file mode 100644 index 0000000000..ded72b6a00 --- /dev/null +++ b/data/questions/99/91/5049311bba99.json @@ -0,0 +1 @@ +{"content":"crwdns3144344:0$SAME$crwdne3144344:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd2d0d7c755ae57365f1a70886bfadd2c272088e","width":425},"correct":{"coords":[[-1,1],[2,4],[3,4],[2,-3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/93/2ba19141f24a.json b/data/questions/99/93/2ba19141f24a.json new file mode 100644 index 0000000000..5f65adb939 --- /dev/null +++ b/data/questions/99/93/2ba19141f24a.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $4$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/efed7f04c5c3a476c7104de8a758b17d4f9ea9dc","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[6,-6],[2,2],[-6,-6]],"showAngles":false,"snapTo":"grid","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/93/9e44741d40df.json b/data/questions/99/93/9e44741d40df.json new file mode 100644 index 0000000000..d4308c691c --- /dev/null +++ b/data/questions/99/93/9e44741d40df.json @@ -0,0 +1 @@ +{"content":"**Graph $y=4x-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-9],[1,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/98/eb78475bfb9d.json b/data/questions/99/98/eb78475bfb9d.json new file mode 100644 index 0000000000..a0b7977bc9 --- /dev/null +++ b/data/questions/99/98/eb78475bfb9d.json @@ -0,0 +1 @@ +{"content":"The answer is either $5$ or $6$.\n\n**What could it be???**\n\n[[☃ numeric-input 1]]\n\nGraph $y=x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear","absolute_value","exponential","sinusoid","quadratic","tangent"],"correct":{"coords":[[0,0],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"YOU ARE A GOD.","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"No. You are a stupid idiot.","simplify":"required","status":"wrong","strict":false,"value":6},{"maxError":null,"message":"WHAT IS WRONG WITH YOU","simplify":"required","status":"wrong","strict":false,"value":5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/a3/319eebd785dc.json b/data/questions/99/a3/319eebd785dc.json new file mode 100644 index 0000000000..5f184de0b4 --- /dev/null +++ b/data/questions/99/a3/319eebd785dc.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable pentagon to construct the image of pentagon $STORK$ after reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3289e7304aaf69d1f6d63c84027801a18803f997.png","width":425},"correct":{"coords":[[3,5],[-2,2],[1,-7],[8,-5],[7,2]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/a9/c71b5fe6ccf1.json b/data/questions/99/a9/c71b5fe6ccf1.json new file mode 100644 index 0000000000..402d4c8829 --- /dev/null +++ b/data/questions/99/a9/c71b5fe6ccf1.json @@ -0,0 +1 @@ +{"content":"Lionel is at the supermarket, comparing the nutrition facts on various cereal boxes. He notices that the more expensive cereals tend to have more calories per serving. Lionel has come up with the model $y =80x-100$ to represent the number of calories per serving as a function of price. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Price** |$\\$2.50$ | $\\$3.00$| $\\$3.50$ | $\\$4.00$ | $\\$4.50$|$\\$5.00$\n**Residual value** | $0$ | $-10$| $0$ | $10$| $10$|$-10$| \n**Calories per serving** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":100},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":130},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":180},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":230},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":270},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":290},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2.5,100],[5,290],[4.5,270],[4,230],[3.5,180],[3,130]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,20],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-20,350]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,10],"step":[1,100]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":false},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":false},{"content":"Decrease the y-intercept of the line.","correct":false},{"content":"None of the above - the model is a good fit for the data.","correct":true}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/99/b7/828d388abeb4.json b/data/questions/99/b7/828d388abeb4.json new file mode 100644 index 0000000000..e7c857c6f7 --- /dev/null +++ b/data/questions/99/b7/828d388abeb4.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/90c845db102f972576f23b65db44ebad9617b96e","width":430,"height":430},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-6,6]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/c0/9ca16bae8d01.json b/data/questions/99/c0/9ca16bae8d01.json new file mode 100644 index 0000000000..c97cad8fe0 --- /dev/null +++ b/data/questions/99/c0/9ca16bae8d01.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+10x+6y+18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-5,-3],"radius":4}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/c5/8576fa9f9350.json b/data/questions/99/c5/8576fa9f9350.json new file mode 100644 index 0000000000..4bd6791fbf --- /dev/null +++ b/data/questions/99/c5/8576fa9f9350.json @@ -0,0 +1 @@ +{"content":"Part-time employees at a small business get paid hourly wages based on how many years they have worked at the business.\n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Years worked** | $0$ | $1$ | $2$ | $3$ | $4$\n**Hourly wage** | $\\$5.50$ | $\\$6.50$ | $\\$7.00$ | $\\$7.50$ | $\\$7.50$ \n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,6.5],[0,5.5],[2,7],[3,7.5],[4,7.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["$\\text{Years}$","$\\text{Wage}$"],"markings":"graph","range":[[-0.5,5],[-1,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/cf/b6f8467b1072.json b/data/questions/99/cf/b6f8467b1072.json new file mode 100644 index 0000000000..736581c8f2 --- /dev/null +++ b/data/questions/99/cf/b6f8467b1072.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $4$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/efed7f04c5c3a476c7104de8a758b17d4f9ea9dc","width":400},"correct":{"coords":[[6,-6],[2,2],[-6,-6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/d5/4b4f95b64597.json b/data/questions/99/d5/4b4f95b64597.json new file mode 100644 index 0000000000..1dd809900c --- /dev/null +++ b/data/questions/99/d5/4b4f95b64597.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $\\pi$ units\n\n\n- Its amplitude is $4$ units\n\n\n- It intersects its midline at $\\left(\\dfrac{\\pi}{2},5\\right)$ and then increases\n\n**Graph the function in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[1,5],[1.5,9]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/dc/cbbb347b3bdf.json b/data/questions/99/dc/cbbb347b3bdf.json new file mode 100644 index 0000000000..fbcbd5b4d4 --- /dev/null +++ b/data/questions/99/dc/cbbb347b3bdf.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -1+i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/99/ed/a8ec8e947eeb.json b/data/questions/99/ed/a8ec8e947eeb.json new file mode 100644 index 0000000000..443e02eff1 --- /dev/null +++ b/data/questions/99/ed/a8ec8e947eeb.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5df6bdcf77dc7662caff0c81d44ca682573edfe6","width":430},"correct":{"coords":[[8,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/06/3b41d4d7d89c.json b/data/questions/9a/06/3b41d4d7d89c.json new file mode 100644 index 0000000000..2314557e78 --- /dev/null +++ b/data/questions/9a/06/3b41d4d7d89c.json @@ -0,0 +1 @@ +{"content":"crwdns4115386:0crwdne4115386:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/437f335cea5f258836c2ea16748446a968479e2b","width":400},"correct":{"coords":[[5,-5],[4,-2],[2,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/16/aa06cdc10ee1.json b/data/questions/9a/16/aa06cdc10ee1.json new file mode 100644 index 0000000000..d15768f897 --- /dev/null +++ b/data/questions/9a/16/aa06cdc10ee1.json @@ -0,0 +1 @@ +{"content":"crwdns3318332:0$gcrwdnd3318332:0$hcrwdne3318332:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":null,"coords":[[-2,3],[-1,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/afe07e9646262eac3c611186b7314c8bf65af027","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/1d/034107638e45.json b/data/questions/9a/1d/034107638e45.json new file mode 100644 index 0000000000..f7bcddd902 --- /dev/null +++ b/data/questions/9a/1d/034107638e45.json @@ -0,0 +1 @@ +{"content":"crwdns3066991:0$fcrwdne3066991:0","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3.5,2],[-4,5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/29/1a11e1b77113.json b/data/questions/9a/29/1a11e1b77113.json new file mode 100644 index 0000000000..c46ef32bd2 --- /dev/null +++ b/data/questions/9a/29/1a11e1b77113.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] 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b/data/questions/9a/58/71aa364bff4e.json @@ -0,0 +1 @@ +{"content":"crwdns6359043:0{cases}crwdnd6359043:0{cases}crwdnd6359043:0$ycrwdne6359043:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-2],[-3,2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9c25a8a6c9a7ae2ea141c9600a531aeec545ea27","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"radio 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1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[0,-1],[0,2],[-3,2],[-3,-1]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/74/7c6fad392e0c.json b/data/questions/9a/74/7c6fad392e0c.json new file mode 100644 index 0000000000..2eb145e3c8 --- /dev/null +++ b/data/questions/9a/74/7c6fad392e0c.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a quadratic function with range $-5\\leq h(x) \\leq 3$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265,"height":265},"labels":[],"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"![A segment of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 7, negative 5). There is an open, unfilled filled circle at the point (negative 1, 1). There is a curve between these two points, connecting them. From left to right, it travels up reaching a maximum h of x value at (negative 3, 3), then travels down to the unfilled circle.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/7f508ed9433ca9d3c9193d5ac04485e5c108bb20)"},{"correct":false,"content":"![A segment of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 7, negative 5). There is a filled filled circle at the point (negative 1, 1). There is a curve between these two points, connecting them. From left to right, it travels up reaching a maximum h of x value at (negative 3, 3), then travels down to the unfilled circle.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/a15e180f94cadf8687c88130a4d70cbc6af6cb12)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A segment of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 5, negative 8). There is another open, unfilled filled circle at the point (3, negative 8). There is a curve between these two points, connecting them. From left to right, it travels up reaching a maximum h of x value at (negative 1, 8), then travels down to the second unfilled circle.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/4ce623c362a2049d210be4057b0ef6900b8f402a)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A segment of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 5, negative 8). There is another filled filled circle at the point (3, negative 8). There is a curve between these two points, connecting them. From left to right, it travels up reaching a maximum h of x value at (negative 1, 8), then travels down to the second filled circle.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/dce4f3c1a2d6711d0fe72344bde6bdac6d5a4405)"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/9a/97/02d5aa32c810.json b/data/questions/9a/97/02d5aa32c810.json new file mode 100644 index 0000000000..80b49feeaf --- /dev/null +++ b/data/questions/9a/97/02d5aa32c810.json @@ -0,0 +1 @@ +{"content":"crwdns2975596:0crwdne2975596:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-4,9],[-8,9],[-9,7],[-9,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/9a/9f/fc734a410e74.json b/data/questions/9a/9f/fc734a410e74.json new file mode 100644 index 0000000000..7205aaf41a --- /dev/null +++ b/data/questions/9a/9f/fc734a410e74.json @@ -0,0 +1 @@ +{"content":"For a science project Nick looked up the average annual snowfall for $6$ cities in the northern hemisphere, and he also recorded the latitude of each city. Nick used the line $y = 3.5x - 60$ to model annual snowfall as a function of latitude. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Would an exponential or quadratic model be a better fit for the data?** [[☃ dropdown 1]] \n\n | | | || ||\n- | - | -\n**Latitude (degrees north)** |$10$ | $20$| $30$ | $40$ | $50$|$60$\n**Residual value** | $25$ | $-5$| $-35$ | $-20$|$-15$|$30$ \n**Snowfall (cm)** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":60},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":100},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":180},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[10,0],[20,5],[30,10],[40,60],[50,100],[60,180]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,10],"labels":["x","y"],"markings":"graph","range":[[-5,70],[-10,200]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,5],"step":[10,20]},"type":"interactive-graph"}}} diff --git a/data/questions/9a/bc/94ca0670d99c.json b/data/questions/9a/bc/94ca0670d99c.json new file mode 100644 index 0000000000..bd37c3101d --- /dev/null +++ b/data/questions/9a/bc/94ca0670d99c.json @@ -0,0 +1 @@ +{"content":"crwdns5521038:0$P$crwdnd5521038:0$7$crwdne5521038:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/49db2125ffedef1806224b9896457f70a529438d","width":425},"correct":{"coords":[[-1,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/bd/99fbc4fd8c6e.json b/data/questions/9a/bd/99fbc4fd8c6e.json new file mode 100644 index 0000000000..902de88941 --- /dev/null +++ b/data/questions/9a/bd/99fbc4fd8c6e.json @@ -0,0 +1 @@ +{"content":"An office building has the shape of a right rectangular prism with width $20$ meters, length $40$ meters, and height $60$ meters.\n\n![sky scraper](https://ka-perseus-graphie.s3.amazonaws.com/f388ad536b6ffce43eeefc376654ab275c1a3d4b.png)\n\n**Drag the corners of the square below to draw the shape of one floor of the building.**\n\n[[☃ interactive-graph 1]] ","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f388ad536b6ffce43eeefc376654ab275c1a3d4b.png":{"height":350,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[55,30],[55,50],[15,50],[15,30]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[0,60],[0,60]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/c3/b8b72386cb13.json b/data/questions/9a/c3/b8b72386cb13.json new file mode 100644 index 0000000000..9f9badb678 --- /dev/null +++ b/data/questions/9a/c3/b8b72386cb13.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=6\\cdot\\left(\\dfrac{4}{3}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,8],[0,6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/c4/367eed6f3ed7.json b/data/questions/9a/c4/367eed6f3ed7.json new file mode 100644 index 0000000000..908ffc594b --- /dev/null +++ b/data/questions/9a/c4/367eed6f3ed7.json @@ -0,0 +1 @@ +{"content":"**Make a right angle by using the three black points as follows.** \n\n**Drag the vertex of the angle to place the vertex at the correct black point.** \n\n**Drag the points on the rays to make the rays go through the other two black points.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n\n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90$ degrees.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":true},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":false},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e410939f38846aa79ce243865b687586359748ee.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":3,"coords":[[4.886040819919128,-7.590193535089071],[-4,-4],[0.48067295504822116,7.090054725497801]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":3,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/cb/442534d9bb3b.json b/data/questions/9a/cb/442534d9bb3b.json new file mode 100644 index 0000000000..cc786bb66b --- /dev/null +++ b/data/questions/9a/cb/442534d9bb3b.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n1.2x+11 & , & [-10,-5) \\\\\\\\\n0.5x+7.5 & , & [-5,1)\\\\\\\\\n-x+9 & , & [1,7)\\\\\\\\\n-{\\dfrac{1}{3}}x+{\\dfrac{13}{3}} & , & [7,10] \\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[10,1],[7,2]],[[1,8],[7,2]],[[-5,5],[1,8]],[[-10,-1],[-5,5]]],"numSegments":4,"type":"segment"},"graph":{"numSegments":4,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/cd/86fc42fa0403.json b/data/questions/9a/cd/86fc42fa0403.json new file mode 100644 index 0000000000..a8aee84902 --- /dev/null +++ b/data/questions/9a/cd/86fc42fa0403.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-(x-2)(x-6)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,4],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/cf/beac5d7712b2.json b/data/questions/9a/cf/beac5d7712b2.json new file mode 100644 index 0000000000..909657724a --- /dev/null +++ b/data/questions/9a/cf/beac5d7712b2.json @@ -0,0 +1 @@ +{"content":"crwdns3169513:0:--:crwdnd3169513:0:--:crwdnd3169513:0:--:crwdnd3169513:0:--:crwdnd3169513:0:--:crwdnd3169513:0:--:crwdnd3169513:0$1$crwdnd3169513:0$6$crwdnd3169513:0$2$crwdnd3169513:0$4$crwdnd3169513:0$3$crwdnd3169513:0$5$crwdnd3169513:0$95$crwdnd3169513:0$85$crwdnd3169513:0$70$crwdnd3169513:0$65$crwdnd3169513:0$90$crwdnd3169513:0$70$crwdne3169513:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,95],[2,70],[3,90],[4,65],[5,70],[6,85]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,10],"labels":["crwdns3295053:0{Period}crwdne3295053:0","crwdns3295052:0{Avg score}crwdne3295052:0"],"markings":"graph","range":[[-0.7,8],[-10,105]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/e3/4ef1af3970cd.json b/data/questions/9a/e3/4ef1af3970cd.json new file mode 100644 index 0000000000..e9f32c16ec --- /dev/null +++ b/data/questions/9a/e3/4ef1af3970cd.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(9,5)$ and $(3,5)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,5],[9,5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/ed/92c7d2fae5a1.json b/data/questions/9a/ed/92c7d2fae5a1.json new file mode 100644 index 0000000000..32beb72ba7 --- /dev/null +++ b/data/questions/9a/ed/92c7d2fae5a1.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec s$ and $\\vec t$:\n\n$\\begin{align}\n\\vec s&=(-2,-1)\n\\\\\\\\\n\\vec t&=(1,-6)\n\\end{align}$\n\n*Answer two questions about the addition $\\vec s+\\vec t$.*\n\nPerforming the addition using the parallelogram rule, with $\\vec s$ and $\\vec t$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the sum.**\n\n$\\vec s+\\vec t=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,-6],[0,0],[-2,-1],[-1,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9a/f9/ee5993776f02.json b/data/questions/9a/f9/ee5993776f02.json new file mode 100644 index 0000000000..06f0bbd26e --- /dev/null +++ b/data/questions/9a/f9/ee5993776f02.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=4e^{0.5x-1}-2$ and let $g(x)=\\dfrac45x+1$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $4e^{0.5x-1}-2=\\dfrac45x+1$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[0,1],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0d576246b662a2761e1de12b4c5f3664b4855817","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":2.42},{"maxError":0.5,"message":"ẂẀéè'ŕřéè áàśŝķḱéèďđ ťțóò ḟíìńňďđ ťțĥȟéè ĝǧŕřéèáàťțéèŕř óòḟ ťțĥȟéè ťțẃẁóò śŝóòĺľúùťțíìóòńňśŝ. ŤŢĥȟíìśŝ áàṕṗṕṗŕřóòẍẋíìḿṁáàťțéèśŝ ťțĥȟéè ĺľéèśŝśŝéèŕř śŝóòĺľúùťțíìóòńň. ","simplify":"required","status":"wrong","strict":false,"value":-3.4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/19/c83c44b9cd31.json b/data/questions/9b/19/c83c44b9cd31.json new file mode 100644 index 0000000000..5a2ca82347 --- /dev/null +++ b/data/questions/9b/19/c83c44b9cd31.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $2$ apples cost $\\$3$. You can buy $6$ apples for $\\$9$. \n \n\n \n**Graph the points described by the given information.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/89893001db81c6a44139e600d854c6a88587cde7.png":{"height":437,"width":444}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[20,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Ýéèśŝ**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":true},{"content":"**ŃŇóò**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ńňóòťț ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/23/6d6482df7d3c.json b/data/questions/9b/23/6d6482df7d3c.json new file mode 100644 index 0000000000..a4d849bb22 --- /dev/null +++ b/data/questions/9b/23/6d6482df7d3c.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with a side of length $5$ in between two angles that measure approximately $58^\\circ$.** \n \n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.5,1],[-0.5,1],[2,5]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[0.5,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/44/78119a5fe4f1.json b/data/questions/9b/44/78119a5fe4f1.json new file mode 100644 index 0000000000..d8f5942ad1 --- /dev/null +++ b/data/questions/9b/44/78119a5fe4f1.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y-1)^2=81$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,1],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/47/15dc25da717e.json b/data/questions/9b/47/15dc25da717e.json new file mode 100644 index 0000000000..f521d611a8 --- /dev/null +++ b/data/questions/9b/47/15dc25da717e.json @@ -0,0 +1 @@ +{"content":"**Construct a $65^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-3.523450338056899,-1.443936365965234],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/4a/7e4dabca9f8f.json b/data/questions/9b/4a/7e4dabca9f8f.json new file mode 100644 index 0000000000..0a2cc7c1fd --- /dev/null +++ b/data/questions/9b/4a/7e4dabca9f8f.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5ad1fec66d19a50b630023c5b9041e078b832855","width":425},"correct":{"coords":[[0,-3],[1,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/50/a8a5b9f6d9ac.json b/data/questions/9b/50/a8a5b9f6d9ac.json new file mode 100644 index 0000000000..de0c0bdb40 --- /dev/null +++ b/data/questions/9b/50/a8a5b9f6d9ac.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nMandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n| | |\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,10],[2,20],[3,30]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["$\\text{Hours}$","$\\text{Earnings}$"],"markings":"graph","range":[[-1,6.5],[-5,55]],"showProtractor":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/9b/69/9965b08213a9.json b/data/questions/9b/69/9965b08213a9.json new file mode 100644 index 0000000000..670dfb137e --- /dev/null +++ b/data/questions/9b/69/9965b08213a9.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $6$ units to the left and $2$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f55be1aa636b352b558436d64406253e936a6c24","width":425},"correct":{"coords":[[-4,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/6d/79b25421d0b1.json b/data/questions/9b/6d/79b25421d0b1.json new file mode 100644 index 0000000000..134c859b25 --- /dev/null +++ b/data/questions/9b/6d/79b25421d0b1.json @@ -0,0 +1 @@ +{"content":"crwdns6727260:0$xcrwdne6727260:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[7,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/6e/784b6439bf10.json b/data/questions/9b/6e/784b6439bf10.json new file mode 100644 index 0000000000..14057997b4 --- /dev/null +++ b/data/questions/9b/6e/784b6439bf10.json @@ -0,0 +1 @@ +{"content":"Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $25\\text{ m}$ and height $30\\text{ m}$.\n\n**Draw the garden such that $1$ unit on the grid below represents $5\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,-3],[-2,3],[-2,-3]],"match":"congruent","showSides":true,"type":"polygon"},"graph":{"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/89/261b27376ff3.json b/data/questions/9b/89/261b27376ff3.json new file mode 100644 index 0000000000..5912db4921 --- /dev/null +++ b/data/questions/9b/89/261b27376ff3.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $3$ apples cost $\\$5$. You can buy $6$ apples for $\\$9$.\n\n\n**Graph the points described by the given information.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/d436496c2ce92f8009b80ea37eee4e52921063e8.png":{"height":432,"width":443}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[30,50]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["□","□"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**□□□**. □□□ □□□□□□□□□□□□ □□ □□□□□□□□□□□□.","correct":false},{"content":"**□□**. □□□ □□□□□□□□□□□□ □□ □□□ □□□□□□□□□□□□.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/9a/30c71964737b.json b/data/questions/9b/9a/30c71964737b.json new file mode 100644 index 0000000000..f28543f941 --- /dev/null +++ b/data/questions/9b/9a/30c71964737b.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(1,3)$ and $(8,3)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[8,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/9b/e1337f39426e.json b/data/questions/9b/9b/e1337f39426e.json new file mode 100644 index 0000000000..e6ec321c71 --- /dev/null +++ b/data/questions/9b/9b/e1337f39426e.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x +2,y +2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bcc823f43b71756bd05e70fd3a6963320ed697f","width":425},"correct":{"coords":[[0,4],[-4,6],[-3,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/9d/1a0e7d83a26b.json b/data/questions/9b/9d/1a0e7d83a26b.json new file mode 100644 index 0000000000..e269f078b8 --- /dev/null +++ b/data/questions/9b/9d/1a0e7d83a26b.json @@ -0,0 +1 @@ +{"content":"The answer is either $5$ or $6$.\n\n**What could it be???**\n\n[[☃ numeric-input 1]]\n\nGraph $y=x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":7,"status":"correct","message":"YOU ARE A GOD.","simplify":"required","strict":false,"maxError":null},{"value":6,"status":"wrong","message":"No. You are a stupid idiot.","simplify":"required","strict":false,"maxError":null},{"value":5,"status":"wrong","message":"WHAT IS WRONG WITH YOU","simplify":"required","strict":false,"maxError":null}],"size":"normal"},"version":{"major":0,"minor":0}},"grapher 1":{"type":"grapher","graded":true,"options":{"graph":{"box":[340,340],"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10},"correct":{"type":"linear","coords":[[0,0],[5,5]]},"availableTypes":["linear","absolute_value","exponential","sinusoid","quadratic","tangent"]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/a7/bf0f7262d8a5.json b/data/questions/9b/a7/bf0f7262d8a5.json new file mode 100644 index 0000000000..df1da7f063 --- /dev/null +++ b/data/questions/9b/a7/bf0f7262d8a5.json @@ -0,0 +1 @@ +{"content":"Plot this graph at: [0,5],[-5,-5],[5,-5] \n\n [[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[-5,-5],[5,-5]],"type":"quadratic"},"graph":{"type":"quadratic"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/b4/efe0086672f5.json b/data/questions/9b/b4/efe0086672f5.json new file mode 100644 index 0000000000..066c82fd53 --- /dev/null +++ b/data/questions/9b/b4/efe0086672f5.json @@ -0,0 +1 @@ +{"content":"crwdns4242800:0$16$crwdne4242800:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[7,-7],[7,-3],[3,-3],[3,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/c2/19d2ef7d871f.json b/data/questions/9b/c2/19d2ef7d871f.json new file mode 100644 index 0000000000..223f5a6f7f --- /dev/null +++ b/data/questions/9b/c2/19d2ef7d871f.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,0)$ and $(2,-5)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,0],[2,-5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5},{"maxError":null,"message":"□□□□□□□□ □□□□ □□□□□□□□ □□□□□□ □□□□□□ □□ □□□□□□□□.","simplify":"required","status":"wrong","strict":false,"value":-5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/9b/c4/ea6159cffecb.json b/data/questions/9b/c4/ea6159cffecb.json new file mode 100644 index 0000000000..3f0d481914 --- /dev/null +++ b/data/questions/9b/c4/ea6159cffecb.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 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$y$ \n:-: | :-: \n$4$ | $2$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[6,3],[8,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 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A reflection over the line $x = 2$. \n2. A translation 2 units up and 1 unit to the right.\n\n[[☃ interactive-graph 1]]\n\nAfter the reflection, point C is in [[☃ dropdown 1]].\n\nAfter the reflection and translation, point C is in [[☃ dropdown 2]]\n","widgets":{"interactive-graph 3":{"type":"interactive-graph","alignment":"default","static":true,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-8,12],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"line","points":[{"type":"point","coord":[2,0],"color":"red","filled":true},{"type":"point","coord":[2,2],"color":"red","filled":false}],"color":"red","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"polygon","points":[[-5,0],[-1,2],[-1,-1],[-5,-3]],"color":"blue","showVertices":false,"fillStyle":"none","strokeStyle":"solid"}],"graph":{"type":"point","numPoints":0},"correct":{"type":"point","hasBeenInteractedWith":true,"range":[[-8,12],[-10,10]],"snapStep":[0.5,0.5],"coords":[[-1,-1]],"numPoints":0}},"version":{"major":0,"minor":0}},"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":null}},"version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-8,12],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"graph":{"type":"polygon","hasBeenInteractedWith":false,"range":[[-8,12],[-10,10]],"snapStep":[0.5,0.5],"showAngles":false,"showSides":false,"coords":null,"snapTo":"grid","numSides":4},"valid":true,"correct":{"type":"polygon","hasBeenInteractedWith":true,"range":[[-8,12],[-10,10]],"snapStep":[0.5,0.5],"showAngles":false,"showSides":false,"coords":[[-1,-1],[-1,2],[-5,0],[-5,-3]],"snapTo":"grid","numSides":4},"lockedFigures":[{"type":"line","kind":"line","points":[{"type":"point","coord":[2,0],"color":"red","filled":true},{"type":"point","coord":[2,2],"color":"red","filled":false}],"color":"red","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"polygon","points":[[-5,0],[-1,2],[-1,-1],[-5,-3]],"color":"blue","showVertices":false,"fillStyle":"none","strokeStyle":"solid"}],"box":[288,288],"gridStep":[1,1],"snapStep":[0.5,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":true},"dropdown 1":{"options":{"placeholder":"","choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":false},{"content":"Quadrant IV","correct":true}],"static":false},"type":"dropdown","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"dropdown 2":{"options":{"placeholder":"","choices":[{"content":"Quadrant I","correct":true},{"content":"Quadrant 2","correct":false},{"content":"Quadrant 3","correct":false},{"content":"Quadrant 4","correct":false}],"static":false},"type":"dropdown","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/9b/e4/7893fc79a301.json b/data/questions/9b/e4/7893fc79a301.json new file mode 100644 index 0000000000..695fc3e3b1 --- /dev/null +++ b/data/questions/9b/e4/7893fc79a301.json @@ -0,0 +1 @@ +{"content":"Here's a graph of a quadratic function $h$.\n\n[[☃ image 1]]\n\n**What's the domain of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A segment of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 7, negative 5). There is a filled circle at the point (negative 1, 1). There is a curve between these two points, connecting them. From left to right, it travels up reaching a maximum h of x value at (negative 3, 3), then travels down to the filled circle.","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9807cacbb6db422a4473993d251dbb6f11dcd6c0","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$-7","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3154000:0$xcrwdne3154000:0","correct":true},{"content":"crwdns3154001:0$xcrwdne3154001:0","correct":false},{"content":"crwdns2676452:0crwdne2676452:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/6e/f729cab1904e.json b/data/questions/a2/6e/f729cab1904e.json new file mode 100644 index 0000000000..14e0fafede --- /dev/null +++ b/data/questions/a2/6e/f729cab1904e.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1197a7ebeae001f5aebe8610344448e891f8cf38","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/77/127132a2292c.json b/data/questions/a2/77/127132a2292c.json new file mode 100644 index 0000000000..b40f321458 --- /dev/null +++ b/data/questions/a2/77/127132a2292c.json @@ -0,0 +1 @@ +{"content":"Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.\n\n ||||\n-:|-:|-:|-:\n|**Batch $1$**|**Batch $2$**|**Batch $3$**\nCups of sugar|$2$|$3$|$4$\nCups of flour|$4\\dfrac{1}{2}$|$6\\dfrac{3}{4}$|$9$\n\n**What is the unit rate of change of flour $(y)$ with respect to sugar $(x)$?** That is, how much flour corresponds to *one* cup of sugar?\n\nThe unit rate of change is [[☃ input-number 1]] .\n\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing cups of sugar, and the $y$-coordinate representing cups of flour.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"type":"input-number","alignment":"default","static":false,"graded":true,"options":{"value":"2.25","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"interactive-graph 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+{"content":"crwdns4178732:0$f$crwdnd4178732:0$g$crwdnd4178732:0$xy$crwdnd4178732:0$g$crwdnd4178732:0$ycrwdnd4178732:0$a$crwdnd4178732:0$b$crwdnd4178732:0$f$crwdne4178732:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0a1e4af74c4a9227d77aa3dfe4c96a5a11e741bc":{"height":425,"width":425},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c1587151dba95c3c8ca0d79b4857ae7856a8a4fc":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"graded":true,"options":{"alt":"crwdns4172901:0crwdne4172901:0","backgroundImage":{"height":425,"url":"crwdns4184213:0crwdne4184213:0","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"title":""},"type":"image","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"This equation represents a line with the same slope as the original.","content":"crwdns4146012:0$ycrwdne4146012:0","correct":false},{"clue":"This equation represents a line with the same $y$-intercept as the original.","content":"crwdns4145993:0$ycrwdne4145993:0","correct":false},{"content":"crwdns4140769:0crwdne4140769:0","correct":true},{"clue":"crwdns4172449:0$a$crwdne4172449:0","content":"crwdns4145701:0$xcrwdne4145701:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a2/a3/773dd22a6a1d.json b/data/questions/a2/a3/773dd22a6a1d.json new file mode 100644 index 0000000000..3ec0fdc88c --- /dev/null +++ b/data/questions/a2/a3/773dd22a6a1d.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{OG}$ is rotated $180^\\circ$ about the point $(-2,4)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/567155d84afcfa01baf0a44afd994fce3df17b5c","width":425},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/a9/228908f834dd.json b/data/questions/a2/a9/228908f834dd.json new file mode 100644 index 0000000000..0161c66a2b --- /dev/null +++ b/data/questions/a2/a9/228908f834dd.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(6,-5)$ and has a slope of $-\\dfrac{2}{3}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,-3],[6,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/b1/cad5cf60c661.json b/data/questions/a2/b1/cad5cf60c661.json new file mode 100644 index 0000000000..fd0e5c6e7a --- /dev/null +++ b/data/questions/a2/b1/cad5cf60c661.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/689653e9bcb37dff51549267892e880751e32b7e","width":430},"correct":{"coords":[[-2,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/be/999c2284b779.json b/data/questions/a2/be/999c2284b779.json new file mode 100644 index 0000000000..85c03ae506 --- /dev/null +++ b/data/questions/a2/be/999c2284b779.json @@ -0,0 +1 @@ +{"content":"Mr. Ledger buys a box of $24$ donuts for a lesson in his math class about circumference. \n\n**Write an equation for the number of donuts $y$ that are left at the end of the day when $x$ donuts are used during the lesson.**\n\n[[☃ expression 1]]\n\nLast year, Mr. Ledger used $18$ donuts during the lesson. This year, he used $22$ donuts. \n\n**Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=24-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[18,6],[22,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[2,2],"labels":["x","y"],"markings":"graph","range":[[-1,25],[-1,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/d3/3de95c223a62.json b/data/questions/a2/d3/3de95c223a62.json new file mode 100644 index 0000000000..a873801bf0 --- /dev/null +++ b/data/questions/a2/d3/3de95c223a62.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-3, 4)$ and $(4, 4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null},{"value":-7,"status":"wrong","message":"Remember that distance should always be positive.","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[-3,4],[4,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/d6/fa37f639b9f9.json b/data/questions/a2/d6/fa37f639b9f9.json new file mode 100644 index 0000000000..44de794805 --- /dev/null +++ b/data/questions/a2/d6/fa37f639b9f9.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot 2^{x-4}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[4,-3],[5,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/dc/e62a2c6b1f7e.json b/data/questions/a2/dc/e62a2c6b1f7e.json new file mode 100644 index 0000000000..5320227d76 --- /dev/null +++ b/data/questions/a2/dc/e62a2c6b1f7e.json @@ -0,0 +1 @@ +{"content":"**Draw the image of the rotation of quadrilateral $SORT$ by $270^\\circ$ about the origin.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/026d940b1c21dbd428b8378f7252511147d5ef35","width":425},"correct":{"coords":[[-2,-7],[3,2],[-1,2],[-6,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/ee/1b6edaf3aa7d.json b/data/questions/a2/ee/1b6edaf3aa7d.json new file mode 100644 index 0000000000..882f186ca1 --- /dev/null +++ b/data/questions/a2/ee/1b6edaf3aa7d.json @@ -0,0 +1 @@ +{"content":"$\\triangle{SEA}$ is rotated $270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 5":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/df11a4dcfef566134502e6b4fc9091d9bfb35f65","width":425},"correct":{"coords":[[2,7],[-2,7],[2,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/ee/26c2d4a15318.json b/data/questions/a2/ee/26c2d4a15318.json new file mode 100644 index 0000000000..f98ad89afd --- /dev/null +++ b/data/questions/a2/ee/26c2d4a15318.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{3}x-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-4],[3,-2]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/f7/f313befa4207.json b/data/questions/a2/f7/f313befa4207.json new file mode 100644 index 0000000000..b4b404f842 --- /dev/null +++ b/data/questions/a2/f7/f313befa4207.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=4$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e6fd2de822de80bce3957ce87c407a6387e32284","width":400},"correct":{"coords":[[5,4],[1,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a2/f8/ff7f5d6f4c33.json b/data/questions/a2/f8/ff7f5d6f4c33.json new file mode 100644 index 0000000000..820aef3188 --- /dev/null +++ b/data/questions/a2/f8/ff7f5d6f4c33.json @@ -0,0 +1 @@ +{"content":"The following inequality represents the largest amount of money Johannes can earn in a month for each day he cleans the house $(H)$ and mows the lawn $(L)$ :\n\n$\\qquad 6\\ H+10\\ L \\leq 120$\n\n**Graph the boundary line of the inequality above with $H$ on the horizontal axis and $L$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n\n**If Johannes cleans the house for $10$ days, for how many days should he mow the lawn to make the largest amount of money he can earn in a month?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[2,1],"backgroundImage":{"url":null},"markings":"graph","labels":["H","L"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,25],[-1,15]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,12],[20,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Johannes should mow the lawn for $6$ days.","correct":true},{"correct":false,"content":"Johannes should mow the lawn for $4$ days."},{"isNoneOfTheAbove":false,"content":"Johannes should mow the lawn for $2$ days.","correct":false},{"isNoneOfTheAbove":false,"content":"Johannes should mow the lawn for $8$ days.","correct":false}],"randomize":true,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":1,"minor":0}},"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"100m+4s\\le1000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"100M+4S\\le1000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"expression 2":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"100m+4s\\le2000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"100M+4S\\le2000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/a3/00/37c9102c7541.json b/data/questions/a3/00/37c9102c7541.json new file mode 100644 index 0000000000..d89d059ccd --- /dev/null +++ b/data/questions/a3/00/37c9102c7541.json @@ -0,0 +1 @@ +{"content":"Krista measured the height and petal length (in centimeters) of all the flowers in her garden. \n\n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: \n**Height $(\\text{cm})$** | $32.5$ | $15$ | $7.5$ | $27.5$ | $15$ | $32.5$ \n**Petal length $(\\text{cm})$**| $6.5$ | $4.5$ | $7$ | $9$ | $5.5$ | $3$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15,4.5],[15,5.5],[7.5,7],[32.5,6.5],[27.5,9],[32.5,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["$\\text{Height}$","$\\text{Petal length}$"],"markings":"graph","range":[[-4,42],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,0.5],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/00/3f273e0aeddd.json b/data/questions/a3/00/3f273e0aeddd.json new file mode 100644 index 0000000000..2c2314d033 --- /dev/null +++ b/data/questions/a3/00/3f273e0aeddd.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $3$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $6$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,6],[6,12],[9,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/09/65d83bf16ec0.json b/data/questions/a3/09/65d83bf16ec0.json new file mode 100644 index 0000000000..f1dcb8eb1c --- /dev/null +++ b/data/questions/a3/09/65d83bf16ec0.json @@ -0,0 +1 @@ +{"content":"**Construct a $130^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/02564832cdaa56aa507437df41dd13e1fefbe595.png":{"height":160,"width":398},"https://ka-perseus-images.s3.amazonaws.com/37521922ea42bbbf67622075e1ea51e095f37479.png":{"height":291,"width":401}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[6.662476544422285,-1.0599696426100849],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/0d/b00ad83c7c27.json b/data/questions/a3/0d/b00ad83c7c27.json new file mode 100644 index 0000000000..39e3d0056b --- /dev/null +++ b/data/questions/a3/0d/b00ad83c7c27.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $3$ apples cost $\\$5$. You can buy $6$ apples for $\\$9$.\n\n\n**Graph the points described by the given information.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/d436496c2ce92f8009b80ea37eee4e52921063e8.png":{"width":443,"height":432}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[20,20],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","scale":"1","bottom":"0","left":0,"width":431,"height":431},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,110],[-10,110]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[60,90],[30,50]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/20/08852e2114e7.json b/data/questions/a3/20/08852e2114e7.json new file mode 100644 index 0000000000..e9b6cacea3 --- /dev/null +++ b/data/questions/a3/20/08852e2114e7.json @@ -0,0 +1 @@ +{"content":"crwdns3462938:0$ycrwdnd3462938:0{1}crwdnd3462938:0{3}crwdne3462938:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-3],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/2a/2a81c794cfa1.json b/data/questions/a3/2a/2a81c794cfa1.json new file mode 100644 index 0000000000..5992de458f --- /dev/null +++ b/data/questions/a3/2a/2a81c794cfa1.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $2$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/eb3ef6959380d2b2de37ab1f0902af3c201a4ad4","width":400},"correct":{"coords":[[1,-4],[7,4],[-5,6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/3a/fa4d72595452.json b/data/questions/a3/3a/fa4d72595452.json new file mode 100644 index 0000000000..4ffa8cde3b --- /dev/null +++ b/data/questions/a3/3a/fa4d72595452.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -|x+5|+7, ~~\\text{Domain}~~[-8,9]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-5},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-5,7],[9,-7]],[[-8,4],[-5,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/a3/3f/1ca4286647a7.json b/data/questions/a3/3f/1ca4286647a7.json new file mode 100644 index 0000000000..8725a7b872 --- /dev/null +++ b/data/questions/a3/3f/1ca4286647a7.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.** \n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad890555ac526c555001d95c5f605f104f592753","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[7,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/45/6c49f16caad6.json b/data/questions/a3/45/6c49f16caad6.json new file mode 100644 index 0000000000..bbf8cd6e33 --- /dev/null +++ b/data/questions/a3/45/6c49f16caad6.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $20$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-1],[2,3],[-3,3],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/49/84e4dff79c2f.json b/data/questions/a3/49/84e4dff79c2f.json new file mode 100644 index 0000000000..08e83e6c2e --- /dev/null +++ b/data/questions/a3/49/84e4dff79c2f.json @@ -0,0 +1 @@ +{"content":"Jim lives at $1^{\\text{st}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(1,11)$ on the map below. He and his best friend decide to go to the bookstore at $5^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(5, 4)$ on the map. They walk down $1^{\\text{st}}$ Avenue then over on $4^{\\text{th}}$ Street. \n\n**Plot Jim's home and the bookstore on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How many blocks do they walk to get to the bookstore?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":11},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,11],[5,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/4a/2f21db612f2d.json b/data/questions/a3/4a/2f21db612f2d.json new file mode 100644 index 0000000000..a29b8ec2f1 --- /dev/null +++ b/data/questions/a3/4a/2f21db612f2d.json @@ -0,0 +1 @@ +{"content":"crwdns4089709:0$8$crwdnd4089709:0{B}crwdnd4089709:0$x$crwdnd4089709:0{B}crwdne4089709:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599aec9a5d9eab38ac41baeb5eff98c7997877e4","width":425},"correct":{"coords":[[-6,-8],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/54/93383a06cae5.json b/data/questions/a3/54/93383a06cae5.json new file mode 100644 index 0000000000..ec08660926 --- /dev/null +++ b/data/questions/a3/54/93383a06cae5.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5681784efcef850226c881e2a3bc194d3193fe7c","width":430},"correct":{"coords":[[4,6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/6b/d26b4abadc3e.json b/data/questions/a3/6b/d26b4abadc3e.json new file mode 100644 index 0000000000..96a0aff280 --- /dev/null +++ b/data/questions/a3/6b/d26b4abadc3e.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-\\dfrac34$ that contains the point $(2,3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[6,0],[2,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/6f/c536a7387056.json b/data/questions/a3/6f/c536a7387056.json new file mode 100644 index 0000000000..047cdb83c6 --- /dev/null +++ b/data/questions/a3/6f/c536a7387056.json @@ -0,0 +1 @@ +{"content":"Cam attempted to graph the equation $3(y-2) + x = 9$, but he got it wrong! His graph is shown below.\n\n**Step 1: Find an actual solution. \nWhen $x$ is $3$, the value of $y$ is** [[☃ numeric-input 1]].\n\n**Step 2: Plot the solution.**\n\n[[☃ interactive-graph 1]]\n\n**Step 3: Check if the solution is on the graph.**\n\n[[☃ radio 1]]","images":{"http://s3.amazonaws.com/illustrativemathematics/images/000/000/818/medium/seven_circles_ba4a5fd8b0a4a751dc704e843912f6ef.jpg?1336174598":{"height":300,"width":291}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"size":"small"},"type":"numeric-input"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes, the solution is on Cam's graph.","correct":false},{"content":"No, the solution is not on Cam's graph. Therefore, his graph is wrong.","correct":false}],"displayCount":null,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/a3/78/98f08e72b6e1.json b/data/questions/a3/78/98f08e72b6e1.json new file mode 100644 index 0000000000..69ba54ecc9 --- /dev/null +++ b/data/questions/a3/78/98f08e72b6e1.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{3}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/81a2a3c4b1514ed8dee7ffa0bcd151f5b4748e77","width":400},"correct":{"coords":[[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/8b/ef260a07f551.json b/data/questions/a3/8b/ef260a07f551.json new file mode 100644 index 0000000000..23d4f7f8ce --- /dev/null +++ b/data/questions/a3/8b/ef260a07f551.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=-5f(x)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-12,12],[-12,12]],"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-12,12],[-12,12]],"snapStep":[1,1],"coords":[[[-1,5],[2,-10]]]},"gridStep":[2,2],"snapStep":[1,1],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-1,-1],"color":"grayH","filled":true},{"type":"point","coord":[2,2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}],"box":[288,288]},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false}],"randomize":true,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"dropdown 1":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"up/down","choices":[{"content":"up","correct":false},{"content":"down","correct":true}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false},"version":{"major":0,"minor":0}},"dropdown 2":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"right/left","choices":[{"content":"right","correct":true},{"content":"left","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/95/ed32b3a6a070.json b/data/questions/a3/95/ed32b3a6a070.json new file mode 100644 index 0000000000..3676fce887 --- /dev/null +++ b/data/questions/a3/95/ed32b3a6a070.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=5|x -6|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[6,2],[7,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/96/c7fc20cf95d0.json b/data/questions/a3/96/c7fc20cf95d0.json new file mode 100644 index 0000000000..c67380b8bd --- /dev/null +++ b/data/questions/a3/96/c7fc20cf95d0.json @@ -0,0 +1 @@ +{"content":"\n\nDrag the vertex of the angle to place the vertex at point $\\text{A}$. \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create a REFLEXIVE angle. (292 degrees)** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/807ea77cf7031c1b9a45694083f05b5e09b01946.png","width":400},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"angle","allowReflexAngles":true,"angleOffsetDeg":1,"showAngles":true},"correct":{"allowReflexAngles":true,"angleOffsetDeg":1,"coords":[[-6.6565802950186574,8.970215704667979],[-2,-2],[5.073243207036084,5.073243207036083]],"showAngles":true,"type":"angle"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/9d/d52174a4bb91.json b/data/questions/a3/9d/d52174a4bb91.json new file mode 100644 index 0000000000..eca8b255bf --- /dev/null +++ b/data/questions/a3/9d/d52174a4bb91.json @@ -0,0 +1 @@ +{"content":"###Prod Example: Test correct and incorrect###\n\n**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n--Need to add the matrix?--\n\nCorrect Answer: (-10, 5) (2, 1) (-2, 9)\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-10,5],[2,1],[-2,9]],"hasBeenInteractedWith":true,"range":[[-11,11],[-11,11]],"showAngles":false,"showSides":false,"snapStep":[0.5,0.5],"snapTo":"grid","type":"polygon"},"graph":{"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,4],"filled":true,"type":"point"},{"color":"grayH","coord":[1,4],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"},{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[1,4],"filled":true,"type":"point"},{"color":"grayH","coord":[1,0],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"},{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,4],"filled":true,"type":"point"},{"color":"grayH","coord":[1,0],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-11,11],[-11,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/9f/976f910e4664.json b/data/questions/a3/9f/976f910e4664.json new file mode 100644 index 0000000000..0ce726c49b --- /dev/null +++ b/data/questions/a3/9f/976f910e4664.json @@ -0,0 +1 @@ +{"content":"crwdns3508044:0crwdne3508044:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,-9]],"type":"point"},"graph":{"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3137505:0crwdne3137505:0","correct":false},{"content":"crwdns3137560:0crwdne3137560:0","correct":false},{"content":"crwdns3137566:0crwdne3137566:0","correct":true},{"content":"crwdns3137506:0crwdne3137506:0","correct":false},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":false},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a3/a5/f0c38ea63ad0.json b/data/questions/a3/a5/f0c38ea63ad0.json new file mode 100644 index 0000000000..2661be6f6e --- /dev/null +++ b/data/questions/a3/a5/f0c38ea63ad0.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $9$, नियम: $3$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $3$, नियम: $1$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.3333333333333333},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[9,3],[12,4],[15,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["9","3"],["12","4"],["15","5"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/af/e4166189d65f.json b/data/questions/a3/af/e4166189d65f.json new file mode 100644 index 0000000000..e8d82dd8ae --- /dev/null +++ b/data/questions/a3/af/e4166189d65f.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=0.5\\sin\\left(\\dfrac{\\pi}{3}x+\\dfrac{4\\pi}{3}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-4,-2],[-2.5,-1.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/c0/c473eec22c21.json b/data/questions/a3/c0/c473eec22c21.json new file mode 100644 index 0000000000..3a7369e5f5 --- /dev/null +++ b/data/questions/a3/c0/c473eec22c21.json @@ -0,0 +1 @@ +{"content":"crwdns4072042:0$5$crwdnd4072042:0$6$crwdnd4072042:0$5$crwdne4072042:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[9.328175755133499,5.084877490321435],[6.233235610657484,9.011879591429963],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/c8/b34107f74fe1.json b/data/questions/a3/c8/b34107f74fe1.json new file mode 100644 index 0000000000..7f2f9c520c --- /dev/null +++ b/data/questions/a3/c8/b34107f74fe1.json @@ -0,0 +1 @@ +{"content":"crwdns4115386:0crwdne4115386:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1aa858afa68530210704235a0134a165b4b66d43","width":400},"correct":{"coords":[[-6,-7],[1,-4],[-3,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a3/d9/fad437c8514a.json b/data/questions/a3/d9/fad437c8514a.json new file mode 100644 index 0000000000..9030a2c84d --- /dev/null +++ b/data/questions/a3/d9/fad437c8514a.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a linear function with domain $x\\geq5$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b093b6311e43ab359b5cb3aa7342d7ccfe237b5","width":265,"height":265},"labels":[],"alt":"","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"![A ray of a linear function is graphed. The x and g of x axes go from negative 10 to 10. There is a filled circle at the point (5, 4). There is a line extending from this point upwards and to the right terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/c816b2f9b31acb759b81da1b6694dff953d6437b)"},{"correct":false,"content":"![A ray of a linear function is graphed. The x and g of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (5, 4). There is a line extending from this point upwards and to the right terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/be8641c14b0c205e290fe37be83c18f3d095d5ca)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of a linear function is graphed. The x and g of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (5, 4). There is a line extending from this point downwards and to the left terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/3a642e99d2941834d57e69e77ada4c3a62c173f1)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of a linear function is graphed. The x and g of x axes go from negative 10 to 10. There is a filled circle at the point (5, 4). There is a line extending from this point downwards and to the left terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/322a38d0b4e7d9401a2704b9f0f5fbf352938e94)"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/a3/ed/906dab338df2.json b/data/questions/a3/ed/906dab338df2.json new file mode 100644 index 0000000000..0397ccea99 --- /dev/null +++ b/data/questions/a3/ed/906dab338df2.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(5, 5), (-3, 4), (-5, 1), (-4.5, -4), (1, -5), (9, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[5,5],[-3,4],[-5,1],[-4.5,-4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/a3/fb/1704fdf7543e.json b/data/questions/a3/fb/1704fdf7543e.json new file mode 100644 index 0000000000..d93cbf9dc1 --- /dev/null +++ b/data/questions/a3/fb/1704fdf7543e.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x)+2$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-5,-3],[5,7]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-5,-5],"filled":true,"type":"point"},{"color":"grayH","coord":[5,5],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","coord":[5,5],"filled":true,"type":"point"},{"color":"grayH","coord":[-5,-5],"filled":true,"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/05/383682497481.json b/data/questions/a4/05/383682497481.json new file mode 100644 index 0000000000..d75ae3dd01 --- /dev/null +++ b/data/questions/a4/05/383682497481.json @@ -0,0 +1 @@ +{"content":"crwdns4128069:0$D$crwdnd4128069:0$2$crwdne4128069:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/56d0722606fe9c0096e26fce3e1b4aff64154c8a","width":425},"correct":{"coords":[[-6,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/0e/e7b2c1a8732b.json b/data/questions/a4/0e/e7b2c1a8732b.json new file mode 100644 index 0000000000..6eb333b255 --- /dev/null +++ b/data/questions/a4/0e/e7b2c1a8732b.json @@ -0,0 +1 @@ +{"content":"crwdns3389866:0$R$crwdnd3389866:0$Rcrwdnd3389866:0{array}crwdnd3389866:0{ccc}crwdnd3389866:0{array}crwdne3389866:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ae97ce6f39028d801dba7d48fbf62fd1a2de380d","width":425},"correct":{"coords":[[0,-3],[3,-6],[6,0],[6,3],[3,3]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/14/3f5a0ca2994e.json b/data/questions/a4/14/3f5a0ca2994e.json new file mode 100644 index 0000000000..e64cab1d9c --- /dev/null +++ b/data/questions/a4/14/3f5a0ca2994e.json @@ -0,0 +1 @@ +{"content":"[Q1] Graph the equation $y=x+1$.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":true,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[0,1],[2,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/1c/808cf641f6e1.json b/data/questions/a4/1c/808cf641f6e1.json new file mode 100644 index 0000000000..d3537a6292 --- /dev/null +++ b/data/questions/a4/1c/808cf641f6e1.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(3,-2)$ and has a radius of $5$ units**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[3,-2],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/1f/476231bcf948.json b/data/questions/a4/1f/476231bcf948.json new file mode 100644 index 0000000000..6f5a4feed9 --- /dev/null +++ b/data/questions/a4/1f/476231bcf948.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=3\\sin(2x-\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[1,2],[1.5,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/22/3f4e83743404.json b/data/questions/a4/22/3f4e83743404.json new file mode 100644 index 0000000000..b08ccd7205 --- /dev/null +++ b/data/questions/a4/22/3f4e83743404.json @@ -0,0 +1 @@ +{"content":"**Make a right angle by using the three black points as follows.** \n\n**Drag the vertex of the angle to place the vertex at the correct black point.** \n\n**Drag the points on the rays to make the rays go through the other two black points.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n\n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90$ degrees.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":true},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ab3282d128e48bab41127246fa8db47c22fa512c.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":2,"coords":[[-3.9817212715355907,1.2460037593511162],[1,5],[5.832188208573371,-1.4125303392825037]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":2,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/26/05979f3e85b2.json b/data/questions/a4/26/05979f3e85b2.json new file mode 100644 index 0000000000..d1450c4fe4 --- /dev/null +++ b/data/questions/a4/26/05979f3e85b2.json @@ -0,0 +1 @@ +{"content":"\n\n[[☃ passage 1]]\n\nCareer | Median annual salary*\n- | - | -\nAssistant pastry chef | $\\$39{,}419$\nPastry chef | $\\$50{,}978$\nExecutive pastry chef | $\\$60{,}480$\n\nSources: Salary.com's January 2014 Survey; Assistant Pastry Chef; Pastry Chef-Casino;Executive Pastry Chef.\n\n*The salary information listed is based on a national average, unless noted. Actual salaries may vary greatly based on specialization within the field, location, years of experience and a variety of other factors. 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The chefs working at the highest levels—Executive and Certified Master Pastry chefs in North America, for example—have attained their titles through an [[1]] __inclusive__ amount of training that requires precise work: sugar pieces, glazes, candies, and doughs all have to be prepared perfectly to produce the finest quality tarts, cakes, mousses, crisps and confits. [[2]] __The intensive certification process to reach the top of this career field is challenging, but executive-level pastry chefs strive to excel.__ \n\nTwo of the highest titles a pastry chef can achieve in North America are Certified Executive Chef (CEF) and Certified Master Pastry Chef (CMPC), granted by the American Culinary [[3]] __Federation, both involve__ a rigorous examination process and numerous prerequisites. The Executive Chef certification, the less prestigious of the two positions with 165 North American pastry chefs holding the title, requires at least three years of practical work experience and over 100 hours of [[4]] __taking classes in__ Nutrition, Management, and Food Safety and Sanitation courses. The examination includes a 90-minute written portion and a four-hour practical portion. This intense work pays off, however: [[5]] __regular pastry chefs earn about $10,000 more a year than assistant pastry chefs.__ \n\nThese high-level chefs take their expertise to exciting heights. [[6]] __Consequently,__ Certified Executive Chef Hilary DeMane has prepared confections for [[7]] __celebrities, governors, and even__ President Ronald Reagan. In addition to corporate posts in some of the world’s most famous hotels and cruise ships, DeMane has also shared her knowledge in the education [[8]] __field for instance,__ she created an International Baking and Pastry program at the Florida Culinary Institute while serving as its Department Chair. \n\nEven more rigorous are the hurdles that pastry chefs must surmount to achieve CMPC status. Only eleven people in the United States currently hold this title. In order to be considered, [[9]] __they__ must endure an eight-day-long practical exam that showcases their culinary skills; the prize affords membership in an elite cadre of pastry professionals and [[10]] __bestows__ valuable name recognition and clout in the culinary world. Climbing to the top of the dessert world is an arduous task, but those who achieve high levels of success receive considerable recognition. This career path is not for everyone as it requires incredible precision under immense pressure, but CEFs and CMPCs often thrive under these conditions. [[11]]\n","passageTitle":"ŤŢĥȟéè ŤŢóòṕṗ ŤŢíìéèŕřśŝ óòḟ ṔṖáàśŝťțŕřý","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/2e/63bb96a9e85c.json b/data/questions/a4/2e/63bb96a9e85c.json new file mode 100644 index 0000000000..26d779209c --- /dev/null +++ b/data/questions/a4/2e/63bb96a9e85c.json @@ -0,0 +1 @@ +{"content":"**Which graph shows an exponential function with a domain of all real values of $x$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b093b6311e43ab359b5cb3aa7342d7ccfe237b5","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![An exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has arrows at the edge of the graph on either end.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/58eba3557f395a5808e1465586bcbfb01b387b04)","correct":true},{"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the right edge and ends on the left side in an open, unfilled circle at (negative 6, 8).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/919f6bbed9a4ac4eb579579860bdc82b0a4eebbf)","correct":false},{"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the left edge and ends on the right side in an open, unfilled circle at (8, 0 point 2).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d0ccbf359ebf548001065c67336d0f14b9a71d62)","correct":false,"isNoneOfTheAbove":false},{"content":"![A segment of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve ends on the left side in an open, unfilled circle at (negative 6, 8) and ends on the right side in an open, unfilled circle at (8, 0 point 2).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/45c1908a390bef289064182b046d113adbe6831b)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a4/38/f50fc2e36a9f.json b/data/questions/a4/38/f50fc2e36a9f.json new file mode 100644 index 0000000000..2dd6eaf668 --- /dev/null +++ b/data/questions/a4/38/f50fc2e36a9f.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles right triangle with a right angle at $(-6,12)$ and another vertex at $(12,12)$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,12],[12,12],[-6,-6]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["□","□"],"markings":"graph","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/5d/e52f18eaf1c4.json b/data/questions/a4/5d/e52f18eaf1c4.json new file mode 100644 index 0000000000..6eb69bd34b --- /dev/null +++ b/data/questions/a4/5d/e52f18eaf1c4.json @@ -0,0 +1 @@ +{"content":"DJ Ravi purchased a new computer with $400$ gigabytes $\\text{(GB})$ of storage for videos and music. Each minute of music uses $2 \\text{ GB}$ of storage, and each minute of video uses $8\\text{ GB}$.\n\n**Write an *inequality* that represents the number of minutes of music $(M)$ and video $(V)$ Ravi can download without exceeding his storage capacity.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $V$ on the horizontal axis and $M$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Ravi downloads $50$ minutes of music $(M)$, which of the following numbers of minutes of video $(V)$ can he download without exceeding the storage capacity?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"2M+8V<=400","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[10,50],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["V","M"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,80],[-30,300]],"gridStep":[5,25],"snapStep":[2.5,12.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,200],[50,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$30$","correct":true},{"content":"$35$","correct":true},{"content":"$40$","correct":false},{"content":"$45$","correct":false},{"content":"$50$","correct":false}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/60/498042e411a3.json b/data/questions/a4/60/498042e411a3.json new file mode 100644 index 0000000000..270f84cab7 --- /dev/null +++ b/data/questions/a4/60/498042e411a3.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/236e5ec455b9b95f4596553cdd50ab16b31681d7","width":425},"correct":{"coords":[[-2,-1],[-2,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/66/644306b45a35.json b/data/questions/a4/66/644306b45a35.json new file mode 100644 index 0000000000..8a259f9142 --- /dev/null +++ b/data/questions/a4/66/644306b45a35.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $SAME$ is rotated $360^\\circ$ about the point $(-4,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd2d0d7c755ae57365f1a70886bfadd2c272088e","width":425},"correct":{"coords":[[-1,1],[2,4],[3,4],[2,-3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/6a/2b0e039be001.json b/data/questions/a4/6a/2b0e039be001.json new file mode 100644 index 0000000000..29d7c77784 --- /dev/null +++ b/data/questions/a4/6a/2b0e039be001.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $9$, Rule: add $3$\n\nPattern $y$: Starting number: $3$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$9$ | $3$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9,3],[12,4],[15,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/6f/d41f010e77a3.json b/data/questions/a4/6f/d41f010e77a3.json new file mode 100644 index 0000000000..efb74a91df --- /dev/null +++ b/data/questions/a4/6f/d41f010e77a3.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -4i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[0,-4]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/90/af255388a10c.json b/data/questions/a4/90/af255388a10c.json new file mode 100644 index 0000000000..b175b2c659 --- /dev/null +++ b/data/questions/a4/90/af255388a10c.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(20,20)$. The rectangle is $10$ units wide and $15$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/18d857eaaa09dc318ed351ff7cbe734bfe18c724","width":400},"correct":{"coords":[[5,10],[10,2.5],[5,2.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-1,11.5],[-1,11.5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/90/e1690ba29cba.json b/data/questions/a4/90/e1690ba29cba.json new file mode 100644 index 0000000000..ca39871e27 --- /dev/null +++ b/data/questions/a4/90/e1690ba29cba.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-4)^2+(y+3)^2=16$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[4,-3],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/b3/49a074be796e.json b/data/questions/a4/b3/49a074be796e.json new file mode 100644 index 0000000000..e1e23c5290 --- /dev/null +++ b/data/questions/a4/b3/49a074be796e.json @@ -0,0 +1 @@ +{"content":"$\\triangle{RUN}$ is rotated $-90^\\circ$ about the point $(-2,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/208b64fd396332df8499a6e47af0f2512532ece6","width":425},"correct":{"coords":[[-8,8],[0,7],[0,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/bc/8bb585b4c842.json b/data/questions/a4/bc/8bb585b4c842.json new file mode 100644 index 0000000000..c696b75f1e --- /dev/null +++ b/data/questions/a4/bc/8bb585b4c842.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8cccdd97deed7f40daac297af73ab66c63135033","width":425},"correct":{"coords":[[4,-2],[1,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/c5/1270e2e76415.json b/data/questions/a4/c5/1270e2e76415.json new file mode 100644 index 0000000000..9bc1edd5d5 --- /dev/null +++ b/data/questions/a4/c5/1270e2e76415.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=2(x-3)^2-8$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[3,-8],[5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-8},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/c6/b7d1d1a9142f.json b/data/questions/a4/c6/b7d1d1a9142f.json new file mode 100644 index 0000000000..461a5810a6 --- /dev/null +++ b/data/questions/a4/c6/b7d1d1a9142f.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(4,8)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/d9/25c5c728a312.json b/data/questions/a4/d9/25c5c728a312.json new file mode 100644 index 0000000000..eeb652fcb5 --- /dev/null +++ b/data/questions/a4/d9/25c5c728a312.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-1(x-3)^2+4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[3,4],[2,3]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/da/596f5a374cd8.json b/data/questions/a4/da/596f5a374cd8.json new file mode 100644 index 0000000000..96dda11eaf --- /dev/null +++ b/data/questions/a4/da/596f5a374cd8.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw an isosceles trapezoid with vertices at $(-2,8)$ and $(-4,-1)$, another vertex at $(3,8)$, and a base $9$ units long that is parallel to the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-4,-1],[5,-1],[3,8],[-2,8]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/db/adc7f8e2967f.json b/data/questions/a4/db/adc7f8e2967f.json new file mode 100644 index 0000000000..3778f0b207 --- /dev/null +++ b/data/questions/a4/db/adc7f8e2967f.json @@ -0,0 +1 @@ +{"content":"crwdns3144339:0$FRED$crwdne3144339:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c9e19f7672ce6fa4f9bf3b46616ae7b11d86172c","width":425},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/e3/b3988ce25945.json b/data/questions/a4/e3/b3988ce25945.json new file mode 100644 index 0000000000..cff7bd91b6 --- /dev/null +++ b/data/questions/a4/e3/b3988ce25945.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\sin(0.25x+0.75\\pi)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-6,-5],[-2,-4.5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a4/f7/6170df94d20e.json b/data/questions/a4/f7/6170df94d20e.json new file mode 100644 index 0000000000..34e08582ac --- /dev/null +++ b/data/questions/a4/f7/6170df94d20e.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 1+5i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/01/fcc36bf58196.json b/data/questions/a5/01/fcc36bf58196.json new file mode 100644 index 0000000000..dcace349b7 --- /dev/null +++ b/data/questions/a5/01/fcc36bf58196.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c9478676bf4d3f13f7a424890e0a06ca34a0010c","width":430},"correct":{"coords":[[3,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/0f/2b939a4fcb00.json b/data/questions/a5/0f/2b939a4fcb00.json new file mode 100644 index 0000000000..5a2ad72798 --- /dev/null +++ b/data/questions/a5/0f/2b939a4fcb00.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{1}{2}x-6\n\\\\\\\\\ny=-2x+9\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,12]],"gridStep":[1,1],"snapStep":[1,0.5],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,12]],"snapStep":[1,0.5],"coords":[[[0,9],[1,7]],[[0,-6],[2,-5]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":6,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-3,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/1d/ef994e7626a1.json b/data/questions/a5/1d/ef994e7626a1.json new file mode 100644 index 0000000000..8333871395 --- /dev/null +++ b/data/questions/a5/1d/ef994e7626a1.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y= -2\\cdot \\left(\\dfrac13\\right)^{x+1}+7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,7],[10,7]],"coords":[[-2,1],[-1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/1e/62da512ed080.json b/data/questions/a5/1e/62da512ed080.json new file mode 100644 index 0000000000..4cec220ac8 --- /dev/null +++ b/data/questions/a5/1e/62da512ed080.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\log_3(1-x)+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"logarithm","asymptote":[[1,-10],[1,10]],"coords":[[0,6],[-8,0]]},"availableTypes":["logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/22/714ce239a202.json b/data/questions/a5/22/714ce239a202.json new file mode 100644 index 0000000000..62d3aea691 --- /dev/null +++ b/data/questions/a5/22/714ce239a202.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of hours before or after noon. For example, $-1$ would represent $11 \\text{ a.m.}$ The $y$-axis represents the temperature in degrees Celsius. The points $(-1, 6)$ and $(7,6)$ represent two temperatures at different times of the day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many hours pass between the two temperatures shown?** \n\n[[☃ input-number 1]] hours\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-1,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x (\\text{hours})","y (^\\circ\\text{C})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/2f/e60b9f65b889.json b/data/questions/a5/2f/e60b9f65b889.json new file mode 100644 index 0000000000..a72b9e4ad2 --- /dev/null +++ b/data/questions/a5/2f/e60b9f65b889.json @@ -0,0 +1 @@ +{"content":"You buy boxes of strawberries at the market. Each box costs $\\$6$.\n\n**Write an equation for the number of dollars, $d$, you spend on $b$ boxes.**\n\n[[☃ expression 2]]\n\nYesterday, you purchased $2$ boxes. Today you purchase $5$ boxes.\n\n**Place points on the graph to show your purchases yesterday and today.**\n\n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"d=6b"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,6],"labels":["$\\text{Boxes}$","$\\text{Dollars}$"],"markings":"graph","range":[[-1,11],[-1,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,3],"step":[1,6]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/3e/07cce262b512.json b/data/questions/a5/3e/07cce262b512.json new file mode 100644 index 0000000000..01807d86fc --- /dev/null +++ b/data/questions/a5/3e/07cce262b512.json @@ -0,0 +1 @@ +{"content":"crwdns3139202:0$M$crwdnd3139202:0$5$crwdnd3139202:0$Mcrwdne3139202:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9837fe65e4d705c96c0055fa9368d31ceec749f":{"height":425,"width":425}},"widgets":{"interaction 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1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3139236:0$A$crwdne3139236:0","correct":false},{"content":"crwdns3139237:0$B$crwdne3139237:0","correct":true},{"content":"crwdns3139238:0$C$crwdne3139238:0","correct":false},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":false},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/3e/a511d604bf8b.json b/data/questions/a5/3e/a511d604bf8b.json new file mode 100644 index 0000000000..3853e038c1 --- /dev/null +++ b/data/questions/a5/3e/a511d604bf8b.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw an isosceles trapezoid with vertices at $(-2,8)$ and $(-4,-1)$, another vertex at $(3,8)$, and a base $9$ units long that is parallel to the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-4,-1],[5,-1],[3,8],[-2,8]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/6a/c184fb36c580.json b/data/questions/a5/6a/c184fb36c580.json new file mode 100644 index 0000000000..ba5192bc07 --- /dev/null +++ b/data/questions/a5/6a/c184fb36c580.json @@ -0,0 +1 @@ +{"content":"$y=(x-2)(x-6)$\n\n**1) What is the vertex of the parabola?**\n\n$($ [[☃ numeric-input 1]] $,$ [[☃ numeric-input 2]] $)$\n\n**2) Graph the function.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-4],[6,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"ẍẋ-ćĉóòóòŕřďđíìńňáàťțéè","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"ý-ćĉóòóòŕřďđíìńňáàťțéè","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/71/b25ed428cbfc.json b/data/questions/a5/71/b25ed428cbfc.json new file mode 100644 index 0000000000..6f79ae5f2c --- /dev/null +++ b/data/questions/a5/71/b25ed428cbfc.json @@ -0,0 +1 @@ +{"content":"**Graph $3x+2y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,6],[4,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/75/02dfaaf99691.json b/data/questions/a5/75/02dfaaf99691.json new file mode 100644 index 0000000000..7841b2b5f0 --- /dev/null +++ b/data/questions/a5/75/02dfaaf99691.json @@ -0,0 +1 @@ +{"content":"crwdns3415415:0$6$crwdnd3415415:0$8$crwdnd3415415:0$10$crwdne3415415:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.329896834046579,4.941176470588235],[3.329896829422368,10.941176464422599],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[0,15],[0,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/92/f879cfbcdca8.json b/data/questions/a5/92/f879cfbcdca8.json new file mode 100644 index 0000000000..ca57f66d3a --- /dev/null +++ b/data/questions/a5/92/f879cfbcdca8.json @@ -0,0 +1 @@ +{"content":"Last month, Emma was the top scorer in her local underwater basket-weaving tournament; she made $2$ baskets every $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents baskets completed.\n\n**Plot points to show how many baskets Emma created after $2$, $4$, and $8$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[8,4],[2,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/93/6d9b24b95b41.json b/data/questions/a5/93/6d9b24b95b41.json new file mode 100644 index 0000000000..14d90f727f --- /dev/null +++ b/data/questions/a5/93/6d9b24b95b41.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[2,4],[5,6]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/94/047e428c5c64.json b/data/questions/a5/94/047e428c5c64.json new file mode 100644 index 0000000000..a1dfa4d666 --- /dev/null +++ b/data/questions/a5/94/047e428c5c64.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(6,1)$ and $(6,9)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[6,9],[6,1]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/9a/3db132cf8fe8.json b/data/questions/a5/9a/3db132cf8fe8.json new file mode 100644 index 0000000000..e409643578 --- /dev/null +++ b/data/questions/a5/9a/3db132cf8fe8.json @@ -0,0 +1 @@ +{"content":"crwdns3209071:0$x$crwdne3209071:0","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/c99c1f4144ad6037fac012e4bf4fbcb385135397.png","width":425},"correct":{"coords":[[4,5],[-6,4],[-4,-2]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/a5/a2/39c4c57ae5be.json b/data/questions/a5/a2/39c4c57ae5be.json new file mode 100644 index 0000000000..aa7580e428 --- /dev/null +++ b/data/questions/a5/a2/39c4c57ae5be.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $2$ apples cost $\\$3$. You can buy $6$ apples for $\\$9$. \n \n\n \n**Graph the points described by the given information.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[20,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["x","y"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/ad/0aa4570f2478.json b/data/questions/a5/ad/0aa4570f2478.json new file mode 100644 index 0000000000..078d665f6c --- /dev/null +++ b/data/questions/a5/ad/0aa4570f2478.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-5$ that contains the point $(-3,-4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-4,1],[-3,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/be/bca4edfe579e.json b/data/questions/a5/be/bca4edfe579e.json new file mode 100644 index 0000000000..6635e2af92 --- /dev/null +++ b/data/questions/a5/be/bca4edfe579e.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[1,-4],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/c2/30ed9f0e4cc0.json b/data/questions/a5/c2/30ed9f0e4cc0.json new file mode 100644 index 0000000000..dac2c309bf --- /dev/null +++ b/data/questions/a5/c2/30ed9f0e4cc0.json @@ -0,0 +1 @@ +{"content":"crwdns3144317:0{MN}crwdne3144317:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b271094f4d6dad3470e1b86fad98edc7f06f892e","width":425},"correct":{"coords":[[[2,1],[7,-3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/c5/a748dacbb408.json b/data/questions/a5/c5/a748dacbb408.json new file mode 100644 index 0000000000..7b27e2bdb4 --- /dev/null +++ b/data/questions/a5/c5/a748dacbb408.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=4\\log_2(x+6)-8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"logarithm","asymptote":[[-6,-10],[-6,10]],"coords":[[2,4],[-2,0]]},"availableTypes":["logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/c9/fbc91486cdc7.json b/data/questions/a5/c9/fbc91486cdc7.json new file mode 100644 index 0000000000..c74a42507e --- /dev/null +++ b/data/questions/a5/c9/fbc91486cdc7.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad -7x-8y=28$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-3.5],[-4,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/cf/385c05f1b0f5.json b/data/questions/a5/cf/385c05f1b0f5.json new file mode 100644 index 0000000000..e25c114419 --- /dev/null +++ b/data/questions/a5/cf/385c05f1b0f5.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3c250500dba247114f98a335d28f21f4a0516764","width":430},"correct":{"coords":[[2,-8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/d2/737e2c1fe164.json b/data/questions/a5/d2/737e2c1fe164.json new file mode 100644 index 0000000000..d8e91202a9 --- /dev/null +++ b/data/questions/a5/d2/737e2c1fe164.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/08955a488d186a768440df6bd005f236e8e7c7bd","width":425},"correct":{"coords":[[-4,1],[4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/e1/a2c578c9a00b.json b/data/questions/a5/e1/a2c578c9a00b.json new file mode 100644 index 0000000000..fa2822a217 --- /dev/null +++ b/data/questions/a5/e1/a2c578c9a00b.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $4$ units to the left and $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d9996c57c8170779ad3002f1192c34a528b046b0","width":425},"box":[288,288],"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/e5/c8803df197b7.json b/data/questions/a5/e5/c8803df197b7.json new file mode 100644 index 0000000000..0eed73b522 --- /dev/null +++ b/data/questions/a5/e5/c8803df197b7.json @@ -0,0 +1 @@ +{"content":"**Plot the real zeros of the given polynomial on the graph below.**\n\n$\\qquad p(x)=8x^3-20x^2-2x+5$\n\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-0.5,0],[0.5,0],[2.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/a5/f4/2a3b52d501c9.json b/data/questions/a5/f4/2a3b52d501c9.json new file mode 100644 index 0000000000..be267ccc6a --- /dev/null +++ b/data/questions/a5/f4/2a3b52d501c9.json @@ -0,0 +1 @@ +{"content":"[Q5] Consider the following trigonometric function:\n\n$\\qquad g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$\n\n**Graph $g(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"coords":[[2,4],[5,6]],"type":"sinusoid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a5/f5/63d1d04d49c0.json b/data/questions/a5/f5/63d1d04d49c0.json new file mode 100644 index 0000000000..5cf1cde438 --- /dev/null +++ b/data/questions/a5/f5/63d1d04d49c0.json @@ -0,0 +1 @@ +{"content":"Peter just buried a treasure chest on a remote island and is making a map so he can find it later. One of the key landmarks in the area is a small rectangular hut, $5\\text{ m}$ by $8\\text{ m}$.\n\n**Move the points to draw the hut on Peter's treasure map below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2d2cb1500c43f1f01f65362b0b607c29cbd0163f.png","width":400},"correct":{"coords":[[3,-9],[3,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/0a/0884b2945894.json b/data/questions/a6/0a/0884b2945894.json new file mode 100644 index 0000000000..732a6d4063 --- /dev/null +++ b/data/questions/a6/0a/0884b2945894.json @@ -0,0 +1 @@ +{"content":"**Graph $3x+4y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,3],[4,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/1b/a1aa4daa64eb.json b/data/questions/a6/1b/a1aa4daa64eb.json new file mode 100644 index 0000000000..28de4af81f --- /dev/null +++ b/data/questions/a6/1b/a1aa4daa64eb.json @@ -0,0 +1 @@ +{"content":"crwdns5528679:0$12$crwdnd5528679:0$30$crwdne5528679:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[30,-60],[25,0]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cc460864c5c1511b0877355290482bd6eb9010c2","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,60],"labels":["",""],"markings":"none","range":[[-10,65],[-420,360]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,60],"step":[10,60],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/31/652c36fbd5c9.json b/data/questions/a6/31/652c36fbd5c9.json new file mode 100644 index 0000000000..90eeddac37 --- /dev/null +++ b/data/questions/a6/31/652c36fbd5c9.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-2(x+5)^2+4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-5,4],[-4,2]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/47/1659952c9d40.json b/data/questions/a6/47/1659952c9d40.json new file mode 100644 index 0000000000..d7406cf5c2 --- /dev/null +++ b/data/questions/a6/47/1659952c9d40.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n&y=-6x+8\n\\\\\\\\\n& 3x+y=-4\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,8],[1,2]],[[0,-4],[1,-7]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□□□ □□□ □□□□□□□□","correct":true},{"content":"□□ □□□□□□□□□","correct":false},{"content":"□□□□□□□□□□ □□□□ □□□□□□□□□","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a6/49/e5c2256ac884.json b/data/questions/a6/49/e5c2256ac884.json new file mode 100644 index 0000000000..eceff2cc62 --- /dev/null +++ b/data/questions/a6/49/e5c2256ac884.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c55e554779b85c6afbe55f9c5cc57d3681b9d35","width":425},"correct":{"coords":[[7,1],[-5,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/56/2346f9330550.json b/data/questions/a6/56/2346f9330550.json new file mode 100644 index 0000000000..e5e53c602d --- /dev/null +++ b/data/questions/a6/56/2346f9330550.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -\\dfrac{3}{4}(-3+x)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[7,-3],[3,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/56/46d5110b3394.json b/data/questions/a6/56/46d5110b3394.json new file mode 100644 index 0000000000..254f2f2a4a --- /dev/null +++ b/data/questions/a6/56/46d5110b3394.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$12$|$13$|$15$|$16$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/204472f9a09c3dd0c096062d6309745d6e9e4362","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,5]],[[-5,3],[5,2]],[[-5,0],[5,-1]],[[-5,-3],[5,-4]],[[-5,-6],[5,-7]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":true,"content":"$f$ is invertible"},{"correct":false,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/a6/5b/652b420cd5df.json b/data/questions/a6/5b/652b420cd5df.json new file mode 100644 index 0000000000..9aebfd6c44 --- /dev/null +++ b/data/questions/a6/5b/652b420cd5df.json @@ -0,0 +1 @@ +{"content":"Tyler collected data on his $5$ pets. The points show the age and mass of $4$ of his pets. His fifth pet, Wings, has a mass of $3\\text{ kg}$ and is $17$ years old.\n \n**Plot Wings's mass and age on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which of Tyler's pets has the smallest mass?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d7b6afd9deefb286578725fdbb18a39ae3a17ac","width":400},"correct":{"coords":[[3,17]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Flopsy","correct":true},{"content":"Mittens","correct":false},{"content":"Spot","correct":false},{"content":"Chance","correct":false},{"content":"Wings","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a6/5c/dfa570d1847f.json b/data/questions/a6/5c/dfa570d1847f.json new file mode 100644 index 0000000000..e2a541a454 --- /dev/null +++ b/data/questions/a6/5c/dfa570d1847f.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/90c845db102f972576f23b65db44ebad9617b96e","width":430},"correct":{"coords":[[-6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/5e/7631b0d96598.json b/data/questions/a6/5e/7631b0d96598.json new file mode 100644 index 0000000000..796558eb22 --- /dev/null +++ b/data/questions/a6/5e/7631b0d96598.json @@ -0,0 +1 @@ +{"content":"**The quadrilateral shown in the graph is transformed by matrix $R$. Plot the resulting quadrilateral.** \n\n$R=\\left[\\begin{array} {ccc}\n0.25 & 0 \\\\\n0 & -0.25 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a20609db888f94e1d3ec2059aa73085654169ae8","width":425},"correct":{"coords":[[2,-2],[2,1],[-1,2],[-1,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/67/e3e1391d9e75.json b/data/questions/a6/67/e3e1391d9e75.json new file mode 100644 index 0000000000..61dc406fe1 --- /dev/null +++ b/data/questions/a6/67/e3e1391d9e75.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\sin\\left(\\dfrac{\\pi}{8}x\\right)+7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/6a/6d66c2b49e71.json b/data/questions/a6/6a/6d66c2b49e71.json new file mode 100644 index 0000000000..6037cb3e23 --- /dev/null +++ b/data/questions/a6/6a/6d66c2b49e71.json @@ -0,0 +1 @@ +{"content":"Consider the following trigonometric function:\n\n$\\qquad f(x)=4\\sin(0.5x+\\pi)-3$\n\n**Graph $f(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-4,-3],[-2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/84/ea33c441c346.json b/data/questions/a6/84/ea33c441c346.json new file mode 100644 index 0000000000..590fc6edd6 --- /dev/null +++ b/data/questions/a6/84/ea33c441c346.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+2)^2+(y-6)^2=9$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/a0/413628d8d8f3.json b/data/questions/a6/a0/413628d8d8f3.json new file mode 100644 index 0000000000..f98a4a835e --- /dev/null +++ b/data/questions/a6/a0/413628d8d8f3.json @@ -0,0 +1 @@ +{"content":"In his Cadillac, Lloyd is able to read the number of miles per gallon that his car is getting at any point in time. He decides to record how many miles per gallon he gets at various speeds. He's used the line $y = 0.2x + 14$ to model miles per gallon as a function of the speed (miles per hour). \n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Speed (mph)** | $10$| $20$ | $30$ | $40$|$50$|$60$ \n**Miles per gallon** | $16.5$ | $20$| $23$ | $23.5$| $25.5$|$29.5$| \n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1.5},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1.5},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3.5},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[30,3],[50,1.5],[20,2],[60,3.5],[40,1.5],[10,0.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,70],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.25],"step":[10,1]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":false},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":true},{"content":"Decrease the y-intercept of the line.","correct":false},{"content":"None of the above - the model is a good fit for the data.","correct":false}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/a6/a9/0eec50f41c2f.json b/data/questions/a6/a9/0eec50f41c2f.json new file mode 100644 index 0000000000..5784e893d8 --- /dev/null +++ b/data/questions/a6/a9/0eec50f41c2f.json @@ -0,0 +1 @@ +{"content":"[Q2] Consider the following trigonometric function:\n\n$\\qquad f(x)=4\\sin(0.5x+\\pi)-3$\n\n**Graph $f(x)$ in the interactive widget.**\n\nhint: the function has a midline of $y = -3$, a period of $4\\pi$, a local maximum at $(-\\pi, 1)$, and a local minimum at $(\\pi, -7)$.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-4,-3],[-2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/ae/24f18599f78e.json b/data/questions/a6/ae/24f18599f78e.json new file mode 100644 index 0000000000..fdf3f4e3a6 --- /dev/null +++ b/data/questions/a6/ae/24f18599f78e.json @@ -0,0 +1 @@ +{"content":"crwdns2841877:0$5$crwdnd2841877:0$ycrwdnd2841877:0$5$crwdnd2841877:0$5$crwdnd2841877:0$ycrwdnd2841877:0{x}crwdne2841877:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d859f953d57753ceff901ea5bed2674a3b3d9ef6.png","width":425},"correct":{"coords":[[1,0],[2,1],[4,2],[8,3],[16,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/b0/6995f93b92d5.json b/data/questions/a6/b0/6995f93b92d5.json new file mode 100644 index 0000000000..ba49b238bc --- /dev/null +++ b/data/questions/a6/b0/6995f93b92d5.json @@ -0,0 +1 @@ +{"content":"Dexter plans and records his spending. In the coordinate plane below, the $x$-axis represents the number of days before or after today. For example, $-1$ would represent yesterday. The $y$-axis represents the amount of money Dexter planned to spend in dollars. The points $(-5, 8)$ and $(2, 8)$ represent Dexter's planned spending on two separate days.\n\n**Plot the two points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**How many days separate the two days Dexter planned to spend $\\$8$ ?** \n\n[[☃ input-number 1]] days\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,8],[2,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□ (\\□□□□{□□□□})","□ (\\□□□□{□□□□□□□})"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/be/ee786049d1b7.json b/data/questions/a6/be/ee786049d1b7.json new file mode 100644 index 0000000000..6e0c27d85c --- /dev/null +++ b/data/questions/a6/be/ee786049d1b7.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $4$, Rule: add $2$\n\nPattern $y$: Starting number: $2$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$4$ | $2$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[4,2],[6,3],[8,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/c9/ec24bffe2699.json b/data/questions/a6/c9/ec24bffe2699.json new file mode 100644 index 0000000000..909886d999 --- /dev/null +++ b/data/questions/a6/c9/ec24bffe2699.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=-5x^2+10x+3$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[1,8],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":8},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/d8/a5e600b820f8.json b/data/questions/a6/d8/a5e600b820f8.json new file mode 100644 index 0000000000..b0bba84190 --- /dev/null +++ b/data/questions/a6/d8/a5e600b820f8.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/6b675708f3831dd6c61a41dad5b0c56a89f9e7ef.png","width":400},"correct":{"coords":[[4,-2.5],[4,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/df/49f5c2402d9f.json b/data/questions/a6/df/49f5c2402d9f.json new file mode 100644 index 0000000000..869db687cb --- /dev/null +++ b/data/questions/a6/df/49f5c2402d9f.json @@ -0,0 +1 @@ +{"content":"For every $15$ campers at a summer camp there is $1$ counselor.\n\n**Complete the table for the given ratio.** \n \nCampers, $x$ | Counselors, $y$ \n:-: | :-: \n$15$ | $1$\n$30$| [[☃ numeric-input 3]]\n$45$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[15,1],[30,2],[45,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[5,0.5],"labels":["□","□"],"markings":"graph","range":[[-1,50],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,0.25],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/eb/72780f12a495.json b/data/questions/a6/eb/72780f12a495.json new file mode 100644 index 0000000000..405067476e --- /dev/null +++ b/data/questions/a6/eb/72780f12a495.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{1}{4}x^2-2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-4],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a6/ed/8dcfdc06b5e3.json b/data/questions/a6/ed/8dcfdc06b5e3.json new file mode 100644 index 0000000000..a94e922086 --- /dev/null +++ b/data/questions/a6/ed/8dcfdc06b5e3.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=2^{x^2}$ and let $g(x)=-x+3$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $2^{x^2}=-x+3$, where $x_1x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-1,2],[0,-2]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3d80c21f0e7c97a6bf1cb081c7f01e25fde28721","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":0.659},{"maxError":0.5,"message":"ẂẀéè'ŕřéè áàśŝķḱéèďđ ťțóò ḟíìńňďđ ťțĥȟéè ĝǧŕřéèáàťțéèŕř óòḟ ťțĥȟéè ťțẃẁóò śŝóòĺľúùťțíìóòńňśŝ. ŤŢĥȟíìśŝ áàṕṗṕṗŕřóòẍẋíìḿṁáàťțéèśŝ ťțĥȟéè ĺľéèśŝśŝéèŕř śŝóòĺľúùťțíìóòńň. ","simplify":"required","status":"wrong","strict":false,"value":-0.4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/19/d5e719cab23b.json b/data/questions/a7/19/d5e719cab23b.json new file mode 100644 index 0000000000..583db95c34 --- /dev/null +++ b/data/questions/a7/19/d5e719cab23b.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bf508f2ea0530b3f4821c9e9f4fa74db09bd4e12","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[2,2],[-5,2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/2d/6553f4e4e0d4.json b/data/questions/a7/2d/6553f4e4e0d4.json new file mode 100644 index 0000000000..befcb3fb3b --- /dev/null +++ b/data/questions/a7/2d/6553f4e4e0d4.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=3\\sin\\left(\\dfrac{\\pi}{5} x+\\dfrac{2\\pi}{5}\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-2,-3],[0.5,0]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/30/10f5f86109bd.json b/data/questions/a7/30/10f5f86109bd.json new file mode 100644 index 0000000000..d25701b1c5 --- /dev/null +++ b/data/questions/a7/30/10f5f86109bd.json @@ -0,0 +1 @@ +{"content":"**Graph the point $(0,?)$ that is a solution to the equation:**\n\n$y-1=2(x+3)$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,7]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/56/1904e8a9a93d.json b/data/questions/a7/56/1904e8a9a93d.json new file mode 100644 index 0000000000..60c52ddc7c --- /dev/null +++ b/data/questions/a7/56/1904e8a9a93d.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ce6e17bb98b84e3d159b78908154fd56120914a6","width":425},"correct":{"coords":[[7,-4],[-7,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/58/07b47285f255.json b/data/questions/a7/58/07b47285f255.json new file mode 100644 index 0000000000..c86b167f50 --- /dev/null +++ b/data/questions/a7/58/07b47285f255.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=-3x-7\n\\\\\\\\\n& y=x+9\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-1,-4],[0,-7]],[[-1,8],[0,9]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/5f/4339f6d6baa1.json b/data/questions/a7/5f/4339f6d6baa1.json new file mode 100644 index 0000000000..22204a12c6 --- /dev/null +++ b/data/questions/a7/5f/4339f6d6baa1.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक ऐसा चतुर्भुज (quadrilateral) बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−4,9), (-8,9), (−9,7), (−9,4)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-4,9],[-8,9],[-9,7],[-9,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/61/c93e30a01365.json b/data/questions/a7/61/c93e30a01365.json new file mode 100644 index 0000000000..ce7d597b83 --- /dev/null +++ b/data/questions/a7/61/c93e30a01365.json @@ -0,0 +1 @@ +{"content":"crwdns5507274:0$x$crwdnd5507274:0$y$crwdne5507274:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,-3],[3,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[0.5,1],"labels":["crwdns5507289:0{days}crwdne5507289:0","crwdns5507291:0{C}crwdne5507291:0"],"markings":"graph","range":[[-2,8],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/84/52e1ab9aff97.json b/data/questions/a7/84/52e1ab9aff97.json new file mode 100644 index 0000000000..796d34897f --- /dev/null +++ b/data/questions/a7/84/52e1ab9aff97.json @@ -0,0 +1 @@ +{"content":"**त्रिभुज $\\triangle ABC$ का प्रतिबिंब रेखा $\\ell$ पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1aa858afa68530210704235a0134a165b4b66d43","width":400},"correct":{"coords":[[-6,-7],[1,-4],[-3,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/8a/012d65cb930c.json b/data/questions/a7/8a/012d65cb930c.json new file mode 100644 index 0000000000..f4b6b13c48 --- /dev/null +++ b/data/questions/a7/8a/012d65cb930c.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdeb738e7771157cec934aae3da9b7382a2b6d5d","width":430},"correct":{"coords":[[-4,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/8f/a9a7eb7b4f1e.json b/data/questions/a7/8f/a9a7eb7b4f1e.json new file mode 100644 index 0000000000..90f5c5dd63 --- /dev/null +++ b/data/questions/a7/8f/a9a7eb7b4f1e.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24d3859d6af72989cd8a5e1e562edff98b4ed146","width":430},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/99/852c23790ad5.json b/data/questions/a7/99/852c23790ad5.json new file mode 100644 index 0000000000..e1f664bb27 --- /dev/null +++ b/data/questions/a7/99/852c23790ad5.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=g(x)$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6cfc71294a4d1d57fa5bf141943fc417d515eac7","width":400},"correct":{"coords":[[2,3],[0,-6],[-4,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,2],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-20,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/9a/fb346d4a7981.json b/data/questions/a7/9a/fb346d4a7981.json new file mode 100644 index 0000000000..cd05696d34 --- /dev/null +++ b/data/questions/a7/9a/fb346d4a7981.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin(2x-3\\pi)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[3,-2],[3.5,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/a3/089014e049fd.json b/data/questions/a7/a3/089014e049fd.json new file mode 100644 index 0000000000..120a036841 --- /dev/null +++ b/data/questions/a7/a3/089014e049fd.json @@ -0,0 +1 @@ +{"content":"Two of the points that define a certain quadrilateral are $(-4,-2)$ and $(0,5)$. The quadrilateral has the following symmetries:\n\n* reflective symmetry over the line $y=\\dfrac x2$\n* reflective symmetry over the line $y=-2x + 5$\n\n**Draw and classify the quadrilateral described above.** \n(Choose the most specific description.)\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/492deb420a859430a5a598e9b43d8fba03bd9793","width":400},"correct":{"coords":[[0,5],[8,4],[4,-3],[-4,-2]],"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"वर्ग (Square)","correct":false},{"content":"आयत (Rectangle)","correct":false},{"content":"समचतुर्भुज (Rhombus)","correct":true},{"content":"समांतर चतुर्भुज (Parallelogram)","correct":false},{"content":"समलंब चतुर्भुज (Trapezoid)","correct":false},{"content":"Kite","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a7/aa/8677c2282ccb.json b/data/questions/a7/aa/8677c2282ccb.json new file mode 100644 index 0000000000..77014b3b9f --- /dev/null +++ b/data/questions/a7/aa/8677c2282ccb.json @@ -0,0 +1 @@ +{"content":"Jim lives at $1^{\\text{st}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(1,11)$ on the map below. He and his best friend decide to go to the bookstore at $5^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(5, 4)$ on the map. They walk down $1^{\\text{st}}$ Avenue then over on $4^{\\text{th}}$ Street. \n\n**Plot Jim's home and the bookstore on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How many blocks do they walk to get to the bookstore?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":11},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,11],[5,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/be/d0ace03cf693.json b/data/questions/a7/be/d0ace03cf693.json new file mode 100644 index 0000000000..e7640686ae --- /dev/null +++ b/data/questions/a7/be/d0ace03cf693.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-2x^2-4x+6$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-1,8],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":8},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-3}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/c1/3cbe046d5631.json b/data/questions/a7/c1/3cbe046d5631.json new file mode 100644 index 0000000000..d9c55ce3da --- /dev/null +++ b/data/questions/a7/c1/3cbe046d5631.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b23a1ea6cd492cacc5a6942afefcb1dc35e93ec5","width":400},"correct":{"coords":[[-6,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/cb/60f98ebb997f.json b/data/questions/a7/cb/60f98ebb997f.json new file mode 100644 index 0000000000..fe1626bf42 --- /dev/null +++ b/data/questions/a7/cb/60f98ebb997f.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=-x+6\n\\\\\\\\\n& 5x+5y=15\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,3],[1,2]],[[0,6],[1,5]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":false},{"content":"No solutions","correct":true},{"content":"Infinitely many solutions","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a7/dd/7db76bde1d61.json b/data/questions/a7/dd/7db76bde1d61.json new file mode 100644 index 0000000000..a3b2e63219 --- /dev/null +++ b/data/questions/a7/dd/7db76bde1d61.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $3$ units from Point $\\blueD{C}$ and also share the same $y$-coordinate as Point $\\blueD{C}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/817db13a516f76991ef21cf2b258c9778fdaab6c","width":425},"correct":{"coords":[[-3,-5],[-9,-5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/e9/73b5401b3223.json b/data/questions/a7/e9/73b5401b3223.json new file mode 100644 index 0000000000..226121d417 --- /dev/null +++ b/data/questions/a7/e9/73b5401b3223.json @@ -0,0 +1 @@ +{"content":"crwdns5528675:0$6$crwdnd5528675:0$20$crwdnd5528675:0$220$crwdne5528675:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[15,190],[20,220]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/329b8ad3b68275b69539cd42272e1121a062967c","width":400},"editableSettings":["graph","snap","image"],"gridStep":[2.5,10],"labels":["",""],"markings":"none","range":[[-5,30],[-20,250]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,10],"step":[5,20],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/ea/92bd06523fd4.json b/data/questions/a7/ea/92bd06523fd4.json new file mode 100644 index 0000000000..580b38256a --- /dev/null +++ b/data/questions/a7/ea/92bd06523fd4.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -1+i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a7/f5/7608bfa671ec.json b/data/questions/a7/f5/7608bfa671ec.json new file mode 100644 index 0000000000..a9a29ea9ef --- /dev/null +++ b/data/questions/a7/f5/7608bfa671ec.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$1$|$25$|$4$|$4$|$25$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/92eccab0edfb33247074989283fce477c5727d8b","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,1]],[[-5,-3],[5,1]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a7/f6/bd5f252dc2c2.json b/data/questions/a7/f6/bd5f252dc2c2.json new file mode 100644 index 0000000000..bb692bf2ab --- /dev/null +++ b/data/questions/a7/f6/bd5f252dc2c2.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1f72cd72e879d0f5df1b5866d97d60e5d26bd4bd","width":425},"correct":{"coords":[[-3,-1],[1,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/02/fb8bd622af67.json b/data/questions/a8/02/fb8bd622af67.json new file mode 100644 index 0000000000..715385f353 --- /dev/null +++ b/data/questions/a8/02/fb8bd622af67.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $ARMY$ is rotated $90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ef6755eb3083acf94f5e581551d3380ba4bc60a","width":425},"correct":{"coords":[[-3,3],[-1,5],[-5,7],[-7,5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/0e/7fcffe8c26ab.json b/data/questions/a8/0e/7fcffe8c26ab.json new file mode 100644 index 0000000000..f23cac9a76 --- /dev/null +++ b/data/questions/a8/0e/7fcffe8c26ab.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw a right triangle with a right angle at $(-5,0)$, another vertex at $(-5,7)$, and a base that is on the $x$-axis and $3$ units longer than its height.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-5,7],[-5,0],[5,0]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/13/fd91e4a18db7.json b/data/questions/a8/13/fd91e4a18db7.json new file mode 100644 index 0000000000..6dc2f56ad1 --- /dev/null +++ b/data/questions/a8/13/fd91e4a18db7.json @@ -0,0 +1 @@ +{"content":"crwdns6727300:0$xcrwdne6727300:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-2],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/18/1f2142f52dae.json b/data/questions/a8/18/1f2142f52dae.json new file mode 100644 index 0000000000..ee7eeb2a63 --- /dev/null +++ b/data/questions/a8/18/1f2142f52dae.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(15,15)$. The rectangle is $5$ units wide and $8$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ff6a303ecdafd11ac3d5ca50107579aca6eefd91","width":400},"correct":{"coords":[[10,15],[10,7],[15,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-2,19],[-2,19]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/23/98cbdc6e257e.json b/data/questions/a8/23/98cbdc6e257e.json new file mode 100644 index 0000000000..23880396a5 --- /dev/null +++ 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b/data/questions/a8/89/925b1c28e9cf.json new file mode 100644 index 0000000000..38b5ad8e6f --- /dev/null +++ b/data/questions/a8/89/925b1c28e9cf.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a3ba49649f062ff70e59e8463b0c8f74c97bb996","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[5,6],[-3,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/97/93ed31bf781d.json b/data/questions/a8/97/93ed31bf781d.json new file mode 100644 index 0000000000..2ef44c0917 --- /dev/null +++ b/data/questions/a8/97/93ed31bf781d.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(0, -9\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[0,-9]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/aa/7737742c36ed.json b/data/questions/a8/aa/7737742c36ed.json new file mode 100644 index 0000000000..97fe763e8e --- /dev/null +++ b/data/questions/a8/aa/7737742c36ed.json @@ -0,0 +1 @@ +{"content":"$\\triangle{HAT}$ is reflected over the line $y=-3x$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 6":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/357dcee10be5cbb92632de2b123e10e58a3bdd60","width":425},"correct":{"coords":[[6,2],[-8,4],[2,-6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/e1/74a132dfa1fe.json b/data/questions/a8/e1/74a132dfa1fe.json new file mode 100644 index 0000000000..01bb69ea3b --- /dev/null +++ b/data/questions/a8/e1/74a132dfa1fe.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $0.2$ units in $t$ corresponds to an increase of $1.8$ units in $d$.\n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d?$) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the line.\n**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[1,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a8/ed/eb2ae33d4c47.json b/data/questions/a8/ed/eb2ae33d4c47.json new file mode 100644 index 0000000000..5f4ff71f92 --- /dev/null +++ b/data/questions/a8/ed/eb2ae33d4c47.json @@ -0,0 +1 @@ +{"content":"We want to solve the following system of equations:\n\n$\\begin{cases}\ny=x-2\n\\\\\\\\\ny=(x-1)^2-3\n\\end{cases}$\n\nThe line given by $y=x-2$ is graphed.\n\n**1) Draw the parabola given by $y=(x-1)^2-3$ in the interactive graph.**\n\n[[☃ grapher 1]]\n\n**2) Select all solutions to the system.**\n\n[[☃ radio 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-3],[2,-2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7c1b802587c7400ce91c151673144c0f3590499d","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(0,-2)$","correct":true},{"content":"$(1,-1)$","isNoneOfTheAbove":false},{"content":"$(2,0)$","isNoneOfTheAbove":false},{"content":"$(3,1)$","correct":true,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a8/fe/97a33f471dc2.json b/data/questions/a8/fe/97a33f471dc2.json new file mode 100644 index 0000000000..32c893f92f --- /dev/null +++ b/data/questions/a8/fe/97a33f471dc2.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n**This passage is adapted from Martin Luther King, Jr.’s “Beyond Vietnam” speech. As the [[☃ definition 1]] escalated in 1967, King—America’s leading civil rights activist—delivered a speech about America’s involvement in the war.** \n\nAnd some of us who have already begun to break the silence of the night have found that the calling to speak is often a [[☃ definition 2]] of agony, but we must speak. We must speak with all the humility that is appropriate to our limited vision, but we must speak. And we must rejoice as well, for surely this is the first time in our nation's history that a significant number of its religious leaders have chosen to move beyond smooth patriotism to the high grounds of a firm _dissent_ based upon the [[☃ definition 3]] of conscience and the reading of history. Perhaps a new spirit is rising among us. \n\n\n[[☃ explanation 2]]\n\n**As used in the passage, *dissent* most nearly means \\_\\_\\_\\.**\n\n[[☃ radio 1]]\n\n[[☃ explanation 1]]\n\n","images":{"https://cdn.kastatic.org/ka-content-images/54d4218cb7684f5fe28fedf6daae89b134b85513.png":{"width":1276,"height":876}},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[1276,876],"backgroundImage":{"url":"https://cdn.kastatic.org/ka-content-images/54d4218cb7684f5fe28fedf6daae89b134b85513.png","width":1276,"height":876},"labels":[],"alt":"Martin Luther King, Jr. speaks against the Vietnam War in 1967","caption":"Martin Luther King, Jr. speaks against the Vietnam War in 1967","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":false,"content":"acceptance\n","clue":"This isn’t the meaning of *dissent*. The speech focuses on the need to speak out against the Vietnam War. In this sentence, King praises religious leaders for being willing to express “a firm dissent.” If *dissent* meant “acceptance,” King would be praising leaders for supporting the war, which is the opposite of his meaning. \n"},{"correct":true,"content":"opposition\n","clue":"**This is the best choice.** The speech focuses on the need to speak out against the Vietnam War. King praises religious leaders who have “moved beyond smooth patriotism” and are willing to express “a firm dissent.” That is, he is praising leaders who express strong opposition to the war. *Opposition* is the best synonym of *dissent* in the context of the speech. \n"},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” *Scarcity* means “a lack of something.” It wouldn’t make sense for King to praise people who express “a firm lack of something.”\n","content":"scarcity\n","correct":false},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” It wouldn’t make sense for King to praise people who express “a firm gratitude” for the war because King is opposed to the war.\n","content":"gratitude","correct":false}],"displayCount":null,"randomize":false,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false},"explanation 1":{"options":{"showPrompt":"Attribution","hidePrompt":"Hide attribution","explanation":"Text source: Text is excerpted from “Beyond Vietnam: A Time to Break the Silence” (1963)by Martin Luther King, © Estate of Martin Luther King, Jr.\n\nPublic domain image provided by the Minnesota Historical Society ","widgets":{},"static":false},"type":"explanation","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"explanation 2":{"options":{"showPrompt":"Reading tip!","hidePrompt":"Ok—got it!","explanation":"Historical passages often include language that is unfamiliar, figurative, or formal. Try to use context clues to connect unfamiliar words with words that you *do* know.","widgets":{},"static":false},"type":"explanation","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"definition 1":{"options":{"togglePrompt":"Vietnam War","definition":"The Vietnam War (1961–1975) was originally a war between North and South Vietnam, though allies of both nations quickly got involved. The U.S. entered the war in 1965 on behalf of South Vietnam.\n","static":false},"type":"definition","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"definition 2":{"options":{"togglePrompt":"vocation","definition":"vo·ca·tion (voh-KAY-shun): a job or career that someone feels strongly called to do\n","static":false},"type":"definition","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"definition 3":{"options":{"togglePrompt":"mandates","definition":"man·dates (man-DATES): orders or commands\n","static":false},"type":"definition","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/a9/0c/59cbbf4e84b7.json b/data/questions/a9/0c/59cbbf4e84b7.json new file mode 100644 index 0000000000..aef109375c --- /dev/null +++ b/data/questions/a9/0c/59cbbf4e84b7.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{3}{4}x+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,2],[4,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/1b/2f1d6edebc0d.json b/data/questions/a9/1b/2f1d6edebc0d.json new file mode 100644 index 0000000000..7baa9095e7 --- /dev/null +++ b/data/questions/a9/1b/2f1d6edebc0d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y-5)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/33/321bda566ca2.json b/data/questions/a9/33/321bda566ca2.json new file mode 100644 index 0000000000..ebc15914f9 --- /dev/null +++ b/data/questions/a9/33/321bda566ca2.json @@ -0,0 +1 @@ +{"content":"Here is the graph of a quadratic function $f$.\n\n[[☃ image 1]]\n\n**Write the equation that defines $f$ in standard form.**\n\n$f(x)=$ [[☃ expression 1]] ","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":true,"key":0,"simplify":false,"value":"-2x^{2}-2x+40"}],"buttonSets":["basic","prealgebra"],"functions":["f","g","h"],"static":false,"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 80 to 80. The quadratic function is concave down, has x intercepts at (negative 5, 0) and (4, 0), and an f of x intercept at (0, 40).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a34f9b82dfb9fb1daa438a3abba2e079500b24f","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"type":"quadratic"},"graph":{"type":"quadratic"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/38/f310da6924a0.json b/data/questions/a9/38/f310da6924a0.json new file mode 100644 index 0000000000..a4cbf25f3e --- /dev/null +++ b/data/questions/a9/38/f310da6924a0.json @@ -0,0 +1 @@ +{"content":"Naomi lives at $2^{\\text{nd}}$ Avenue and $3^{\\text{rd}}$ Street, represented by the point $(2,3)$ on the map below. Her school is located at $4^{\\text{th}}$ Avenue and $10^{\\text{th}}$ Street, represented by $(4, 10)$ on the map. To get to school, she walks over to $4^{\\text{th}}$ Avenue and up to $10^{\\text{th}}$ Street.\n\n**Plot Naomi's house and her school on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far does Naomi walk to get to school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,3],[4,10]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/43/fb4fdba4fdff.json b/data/questions/a9/43/fb4fdba4fdff.json new file mode 100644 index 0000000000..9d121a4176 --- /dev/null +++ b/data/questions/a9/43/fb4fdba4fdff.json @@ -0,0 +1 @@ +{"content":"**In the interactive graph below, use the points to draw a line such that we construct a system of linear equations that has infinitely many solutions.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cef84d0ca6bada193c19dfd41b1d47a730f11e6f","width":425},"correct":{"coords":[[2,4],[5,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/47/8828df6faee6.json b/data/questions/a9/47/8828df6faee6.json new file mode 100644 index 0000000000..783d0fb8e6 --- /dev/null +++ b/data/questions/a9/47/8828df6faee6.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}-2 & -2 \\\\ -1 & 1\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}2 \\\\ 1\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/edb99a860e57a48adb26b95121344494550a89f6","width":425},"correct":{"coords":[[[0,0],[-6,-1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/4f/89c3eb54cc55.json b/data/questions/a9/4f/89c3eb54cc55.json new file mode 100644 index 0000000000..0f26993f0a --- /dev/null +++ b/data/questions/a9/4f/89c3eb54cc55.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-3$ that contains the point $(4, -2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[5,-5],[4,-2]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/5b/8eb530339349.json b/data/questions/a9/5b/8eb530339349.json new file mode 100644 index 0000000000..5583297c0a --- /dev/null +++ b/data/questions/a9/5b/8eb530339349.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a4486d1fd68c9daf5efe89f9dec3c91e677155cf","width":425},"correct":{"coords":[[0,-3],[-4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/64/2bfa5643d208.json b/data/questions/a9/64/2bfa5643d208.json new file mode 100644 index 0000000000..bfe1ed095c --- /dev/null +++ b/data/questions/a9/64/2bfa5643d208.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=2\\sin(\\pi x-3\\pi)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[3,-4],[3.5,-2]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/9c/c688759fdbf6.json b/data/questions/a9/9c/c688759fdbf6.json new file mode 100644 index 0000000000..fda8be3895 --- /dev/null +++ b/data/questions/a9/9c/c688759fdbf6.json @@ -0,0 +1 @@ +{"content":"Olivia's tablet has a cracked screen. On a coordinate map of the screen, the crack starts at the point $(2,5)$ and ends at the point $(8,5)$. The crack connects the two points in a straight line.\n\n**Plot the points where the crack starts and ends on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How long is the crack?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,5],[8,5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/a5/d9d924a9a9f3.json b/data/questions/a9/a5/d9d924a9a9f3.json new file mode 100644 index 0000000000..09d0e0aee5 --- /dev/null +++ b/data/questions/a9/a5/d9d924a9a9f3.json @@ -0,0 +1 @@ +{"content":"Two ordered pairs are shown on a coordinate grid.\n\n**Plot each of these ordered pairs.** \n$\\quad\\bullet\\quad(-a,-b)$ \n$\\quad\\bullet\\quad(-a,b)$ \n$\\quad\\bullet\\quad(c,-d)$ \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/019bbe9e26c59d46ac0cd040b73c3b73ac100bf7.png","width":425},"correct":{"coords":[[-2,-3],[-2,3],[-4,-2]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/af/c02912404510.json b/data/questions/a9/af/c02912404510.json new file mode 100644 index 0000000000..cb7875bf3c --- /dev/null +++ b/data/questions/a9/af/c02912404510.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x)-5$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-4,-9],[4,-1]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-4,-4],"filled":true,"type":"point"},{"color":"grayH","coord":[4,4],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","coord":[4,4],"filled":true,"type":"point"},{"color":"grayH","coord":[-4,-4],"filled":true,"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/b7/2fcf09d5718b.json b/data/questions/a9/b7/2fcf09d5718b.json new file mode 100644 index 0000000000..9e39dc07e8 --- /dev/null +++ b/data/questions/a9/b7/2fcf09d5718b.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=2(x-3)^2-8$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[3,-8],[5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-8},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/bc/f2dbf3ec085c.json b/data/questions/a9/bc/f2dbf3ec085c.json new file mode 100644 index 0000000000..9232277534 --- /dev/null +++ b/data/questions/a9/bc/f2dbf3ec085c.json @@ -0,0 +1 @@ +{"content":"crwdns3508045:0crwdne3508045:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-4]],"type":"point"},"graph":{"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3137505:0crwdne3137505:0","correct":false},{"content":"crwdns3137560:0crwdne3137560:0","correct":false},{"content":"crwdns3137566:0crwdne3137566:0","correct":false},{"content":"crwdns3137506:0crwdne3137506:0","correct":false},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":false},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/a9/c0/55da4eb17cdb.json b/data/questions/a9/c0/55da4eb17cdb.json new file mode 100644 index 0000000000..51eba03264 --- /dev/null +++ b/data/questions/a9/c0/55da4eb17cdb.json @@ -0,0 +1 @@ +{"content":"बिंदुओं के किसी भी युग्म को एक रेखा के द्वारा जोड़ा जा सकता है। \n\n**काले बिंदुओं के युग्मों को इस प्रकार जोड़िए कि इससे बनने वाली रेखा डैश वाली रेखा के लंबवत हो।**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/69cf49b23ee6020b29698bb148db75ade1e519ef","width":400},"correct":{"coords":[[-4,1],[6,-1.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/cc/3bcd4d525ef2.json b/data/questions/a9/cc/3bcd4d525ef2.json new file mode 100644 index 0000000000..661125807e --- /dev/null +++ b/data/questions/a9/cc/3bcd4d525ef2.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nThe cost to park in the downtown parking lot depends on the number of hours you park your car for. \n\n| | |\n- | :-: | :-:| :-:| :-:\nHours parked | $1$ | $5$| $12$ \nCost (in dollars) | $4$ | $10$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the cost of parking proportional to the number of hours parked?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Hours}$","$\\text{Cost}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,22],[-2,22]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[1,4],[5,10],[12,15]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/a9/ce/5ee82728e3fd.json b/data/questions/a9/ce/5ee82728e3fd.json new file mode 100644 index 0000000000..ec005dea53 --- /dev/null +++ b/data/questions/a9/ce/5ee82728e3fd.json @@ -0,0 +1 @@ +{"content":"crwdns3415413:0$3$crwdnd3415413:0$4$crwdnd3415413:0$5$crwdne3415413:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3.5,2],[3.5,5],[-0.5,2]],"match":"congruent","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[0.5,0.5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/d0/6f8449fc3338.json b/data/questions/a9/d0/6f8449fc3338.json new file mode 100644 index 0000000000..a87274caf8 --- /dev/null +++ b/data/questions/a9/d0/6f8449fc3338.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{2}{3}x-4\n\\\\\\\\\ny=4x+6\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,6],[-1,2]],[[0,-4],[3,-2]]],"hasBeenInteractedWith":false,"range":[[-10,10],[-10,12]],"snapStep":[1,0.5],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-3}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-6}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/db/49c536da3366.json b/data/questions/a9/db/49c536da3366.json new file mode 100644 index 0000000000..4ae516fab3 --- /dev/null +++ b/data/questions/a9/db/49c536da3366.json @@ -0,0 +1 @@ +{"content":"crwdns2988124:0crwdne2988124:0","images":{"https://ka-perseus-images.s3.amazonaws.com/d275297712ac868c7225c59423aec7bbac76a8ed.png":{"height":169,"width":397}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7.699870174911066,-2.539041776119187],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/e0/5db8822d70c4.json b/data/questions/a9/e0/5db8822d70c4.json new file mode 100644 index 0000000000..04907b4104 --- /dev/null +++ b/data/questions/a9/e0/5db8822d70c4.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-6x^2+24x-18$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[2,6],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/e9/67847e450109.json b/data/questions/a9/e9/67847e450109.json new file mode 100644 index 0000000000..b6e59666fc --- /dev/null +++ b/data/questions/a9/e9/67847e450109.json @@ -0,0 +1 @@ +{"content":"Last month, Emma was the top scorer in her local underwater basket-weaving tournament; she made $2$ baskets every $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents baskets completed.\n\n**Plot points to show how many baskets Emma created after $2$, $4$, and $8$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[8,4],[2,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/ec/b27cb4417ff0.json b/data/questions/a9/ec/b27cb4417ff0.json new file mode 100644 index 0000000000..ab22218bf0 --- /dev/null +++ b/data/questions/a9/ec/b27cb4417ff0.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\cos\\left(\\dfrac{\\pi}{12}x\\right)+6$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,6],[0,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/ef/2018d66834a7.json b/data/questions/a9/ef/2018d66834a7.json new file mode 100644 index 0000000000..69dff2f993 --- /dev/null +++ b/data/questions/a9/ef/2018d66834a7.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b23a1ea6cd492cacc5a6942afefcb1dc35e93ec5","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-6,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/ef/74a8ad3c09d7.json b/data/questions/a9/ef/74a8ad3c09d7.json new file mode 100644 index 0000000000..db936f0c0a --- /dev/null +++ b/data/questions/a9/ef/74a8ad3c09d7.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e79a3248835f28f6ff4f918672041bb8f247e52c","width":425},"correct":{"coords":[[-2,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/a9/fa/dbbc7b9a84e7.json b/data/questions/a9/fa/dbbc7b9a84e7.json new file mode 100644 index 0000000000..8ee5851ffa --- /dev/null +++ b/data/questions/a9/fa/dbbc7b9a84e7.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b538cff00325e87e4aa6fef2f9fbe4f59b7eee8a","width":430},"correct":{"coords":[[-2,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/02/b4bc892e7218.json b/data/questions/aa/02/b4bc892e7218.json new file mode 100644 index 0000000000..148deffbb3 --- /dev/null +++ b/data/questions/aa/02/b4bc892e7218.json @@ -0,0 +1 @@ +{"content":"crwdns3102626:0crwdne3102626:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-9,4],[-9,7],[-4,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/1f/599eea2aa39e.json b/data/questions/aa/1f/599eea2aa39e.json new file mode 100644 index 0000000000..b8735254cb --- /dev/null +++ b/data/questions/aa/1f/599eea2aa39e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{1}{5}x^2+2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,5],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/20/424a9f26975d.json b/data/questions/aa/20/424a9f26975d.json new file mode 100644 index 0000000000..95bfe231bf --- /dev/null +++ b/data/questions/aa/20/424a9f26975d.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $CARP\\,$ after a translation by $\\langle9,-2\\rangle$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/79ec8757ad6d316ab78437b0b17b4143889c88cf.png","width":425},"correct":{"coords":[[5,-8],[6,-6],[2,-4],[1,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/aa/21/25270bcf2d02.json b/data/questions/aa/21/25270bcf2d02.json new file mode 100644 index 0000000000..b5e5bb3071 --- /dev/null +++ b/data/questions/aa/21/25270bcf2d02.json @@ -0,0 +1 @@ +{"content":"crwdns3389869:0$R$crwdnd3389869:0$Rcrwdnd3389869:0{array}crwdnd3389869:0{ccc}crwdnd3389869:0{array}crwdne3389869:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/897256d66752b56fa5b70212d8fdaaa6d528433e","width":425},"correct":{"coords":[[-4,-2],[-8,-1],[-8,1],[-4,2],[-2,0]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/2e/4b175f4859ed.json b/data/questions/aa/2e/4b175f4859ed.json new file mode 100644 index 0000000000..1053ac8b10 --- /dev/null +++ b/data/questions/aa/2e/4b175f4859ed.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=6x^2-18x+7$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[1.5,-6.5],[0,7]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-6.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/3c/ba1b239e3ebf.json b/data/questions/aa/3c/ba1b239e3ebf.json new file mode 100644 index 0000000000..122967dd4e --- /dev/null +++ b/data/questions/aa/3c/ba1b239e3ebf.json @@ -0,0 +1 @@ +{"content":"Cam attempted to graph the equation $3(y-2) + x = 9$, but he got it wrong! His graph is shown below.\n\n**Step 1: Find an actual solution. \nWhen $x$ is $3$, the value of $y$ is** [[☃ numeric-input 1]].\n\n**Step 2: Plot the solution.**\n\n[[☃ interactive-graph 1]]\n\n**Step 3: Check if the solution is on the graph.**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":null,"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":null}],"size":"small"},"type":"numeric-input"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes, the solution is on Cam's graph.","correct":false},{"content":"No, the solution is not on Cam's graph. Therefore, his graph is wrong.","correct":false}],"displayCount":null,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/aa/43/18f1629b963f.json b/data/questions/aa/43/18f1629b963f.json new file mode 100644 index 0000000000..b6c960815a --- /dev/null +++ b/data/questions/aa/43/18f1629b963f.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}0 & 4 \\\\ 5 & 2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}2 \\\\ 5\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a6acfcd193b332780da4d759b06edfaa8aee642b","width":425},"correct":{"coords":[[[0,0],[20,20]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/49/05b64f7951b9.json b/data/questions/aa/49/05b64f7951b9.json new file mode 100644 index 0000000000..19d691522b --- /dev/null +++ b/data/questions/aa/49/05b64f7951b9.json @@ -0,0 +1 @@ +{"content":"crwdns4070167:0$gcrwdne4070167:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,2],[-1,-3]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/49/a5f8217ea141.json b/data/questions/aa/49/a5f8217ea141.json new file mode 100644 index 0000000000..55cf333383 --- /dev/null +++ b/data/questions/aa/49/a5f8217ea141.json @@ -0,0 +1 @@ +{"content":"Paulette squints at a map of her city's streets. \n\n(show map with a scale with \"Perseus Park\" labeled)\n\n\"This map is too small for me to read.\" she sighs. \"I need a bigger map.\"\n\n**You must help Paulette! Move the points to redraw Perseus Park on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/4b/53025cad5ad0.json b/data/questions/aa/4b/53025cad5ad0.json new file mode 100644 index 0000000000..0000a0d6b4 --- /dev/null +++ b/data/questions/aa/4b/53025cad5ad0.json @@ -0,0 +1 @@ +{"content":"**Graph $y=0.4x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"□□□ □□□□□□□□ □□□□□□□□□□ □ □□□□□□□□□□□□ □□□□□□□□□□□□.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $0.4$.\n","correct":true},{"content":"The slope of the line is $0.4$.","correct":true},{"content":" A change of $2$ units in $x$ results in a change of $0.2$ units in $y$.","correct":false},{"content":" A change of $3$ units in $x$ results in a change of $1.2$ units in $y$.","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/65/d8bf55512610.json b/data/questions/aa/65/d8bf55512610.json new file mode 100644 index 0000000000..c7eda4684d --- /dev/null +++ b/data/questions/aa/65/d8bf55512610.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-7,-4)$ and has a slope of $-\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[-7,-4],[-4,-6]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/78/0ff464710e0c.json b/data/questions/aa/78/0ff464710e0c.json new file mode 100644 index 0000000000..45873381b7 --- /dev/null +++ b/data/questions/aa/78/0ff464710e0c.json @@ -0,0 +1 @@ +{"content":"For Halloween, Nana makes bags with orange and black candies for her $5$ grandchildren. The points show how many orange candies and how many black candies are in $4$ of the bags. The fifth bag has $11$ orange candies and $12$ black candies. \n \n\n**Plot the $5^{\\text{th}}$ bag's candies on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which bag has the fewest orange candies?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f169bc39a0f689fe6080b3e5985c1d12676ec947","width":400},"correct":{"coords":[[11,12]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Bag $1$","correct":false},{"content":"Bag $2$","correct":false},{"content":"Bag $3$","correct":false},{"content":"Bag $4$","correct":true},{"content":"Bag $5$","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/aa/79/e17b104d536b.json b/data/questions/aa/79/e17b104d536b.json new file mode 100644 index 0000000000..a6fb80535d --- /dev/null +++ b/data/questions/aa/79/e17b104d536b.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(7, 6)$ and $(0, 6)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/7b/98d1a0279f7f.json b/data/questions/aa/7b/98d1a0279f7f.json new file mode 100644 index 0000000000..c4f0178a3c --- /dev/null +++ b/data/questions/aa/7b/98d1a0279f7f.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x ,y +3)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4bc1c0e73ed49e8e70bae7ff5227364d41b6a892","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[0,3],[-6,5],[-4,0]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/85/38455a90dcb9.json b/data/questions/aa/85/38455a90dcb9.json new file mode 100644 index 0000000000..2f2a4c8003 --- /dev/null +++ b/data/questions/aa/85/38455a90dcb9.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-5$ that contains the point $(-3,-4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-4,1],[-3,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/90/0a089f27ffd0.json b/data/questions/aa/90/0a089f27ffd0.json new file mode 100644 index 0000000000..95c5e13c7c --- /dev/null +++ b/data/questions/aa/90/0a089f27ffd0.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad5715c11d13cd92df0e9ba05cf362e2945b9684","width":425},"correct":{"coords":[[-2,0],[4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/95/1430fba3762b.json b/data/questions/aa/95/1430fba3762b.json new file mode 100644 index 0000000000..257c1845d4 --- /dev/null +++ b/data/questions/aa/95/1430fba3762b.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(4,6)$, and which has the point $(2,6)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[4,6],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/9d/f642bdd1168b.json b/data/questions/aa/9d/f642bdd1168b.json new file mode 100644 index 0000000000..9a9b250dfa --- /dev/null +++ b/data/questions/aa/9d/f642bdd1168b.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the dashed, green line segment shown below. \n \n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9782af40bdfc1ae2cb7a19172a00ef4aa2e92f5","width":425},"correct":{"coords":[[[8,3],[5,-2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/a1/7bc8e0d63687.json b/data/questions/aa/a1/7bc8e0d63687.json new file mode 100644 index 0000000000..597f29e232 --- /dev/null +++ b/data/questions/aa/a1/7bc8e0d63687.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=5\\cos\\left(\\dfrac{\\pi}{2}x-\\dfrac{3\\pi}{2}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[4,-2],[3,3]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/c0/84eb720c185f.json b/data/questions/aa/c0/84eb720c185f.json new file mode 100644 index 0000000000..fa4b95df5f --- /dev/null +++ b/data/questions/aa/c0/84eb720c185f.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\dfrac12x^2+3x-2$ and let $g(x)=-|x+3|+4$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\dfrac12x^2+3x-2=-|x+3|+4$, where $x_1x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"asymptote":[[-10,1],[10,1]],"coords":[[-3,3],[-4,2]],"type":"exponential"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad509bded0be388a4ab827b719a43341e872ef46","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-2.567},{"maxError":0.5,"message":"ẂẀéè'ŕřéè áàśŝķḱéèďđ ťțóò ḟíìńňďđ ťțĥȟéè ĝǧŕřéèáàťțéèŕř óòḟ ťțĥȟéè ťțẃẁóò śŝóòĺľúùťțíìóòńňśŝ. ŤŢĥȟíìśŝ áàṕṗṕṗŕřóòẍẋíìḿṁáàťțéèśŝ ťțĥȟéè ĺľéèśŝśŝéèŕř śŝóòĺľúùťțíìóòńň. ","simplify":"required","status":"wrong","strict":false,"value":-4}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/ee/9112c441bd78.json b/data/questions/aa/ee/9112c441bd78.json new file mode 100644 index 0000000000..eb79f1b85b --- /dev/null +++ b/data/questions/aa/ee/9112c441bd78.json @@ -0,0 +1 @@ +{"content":"The four corners of a square are located at the points $(1,8)$, $(7,8)$, $(1,2)$, and $(7,2)$.\n\n\n**Plot the four corners of the square on the coordinate plane below.**\n\n[[☃ interactive-graph 1]] \n\n**How long is each side of the square?** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,2],[1,8],[7,8],[7,2]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/f0/fbe22b650752.json b/data/questions/aa/f0/fbe22b650752.json new file mode 100644 index 0000000000..ed1c22b502 --- /dev/null +++ b/data/questions/aa/f0/fbe22b650752.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4|x +4|+3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-4,3],[-3,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/f9/3a82dec702b8.json b/data/questions/aa/f9/3a82dec702b8.json new file mode 100644 index 0000000000..0b2d97aa7f --- /dev/null +++ b/data/questions/aa/f9/3a82dec702b8.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3a1e670475596cf2815b8b00a398bf0217b9ffe7","width":430},"correct":{"coords":[[5,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/fa/f2279211c4eb.json b/data/questions/aa/fa/f2279211c4eb.json new file mode 100644 index 0000000000..d3da67f6c3 --- /dev/null +++ b/data/questions/aa/fa/f2279211c4eb.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2\\cdot 3^{-x}-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-4],[10,-4]],"coords":[[0,-2],[-1,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/aa/fe/ff374add4631.json b/data/questions/aa/fe/ff374add4631.json new file mode 100644 index 0000000000..1ff33337d5 --- /dev/null +++ b/data/questions/aa/fe/ff374add4631.json @@ -0,0 +1 @@ +{"content":"The graph below contains the line $\\overleftrightarrow{AB}$ and the point $P$. \n \n**Draw the image of $\\overleftrightarrow{AB}$ under a dilation whose center is $P$ and scale factor is $5$.** \n \n[[☃ interactive-graph 1]]\n \n**Choose the correct description for the image of $\\overleftrightarrow{AB}$.** \n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/96619a24a0ffbc0a8782e54d2ea794c7f1020137","width":425},"correct":{"coords":[[4,-7],[-3,-7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The image is the same line as $\\overleftrightarrow{AB}$.","correct":true},{"content":"The image is a line different from $\\overleftrightarrow{AB}$ but parallel to it.","correct":false},{"content":"The image is a line perpendicular to $\\overleftrightarrow{AB}$.","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ab/0f/de7d61ce7c72.json b/data/questions/ab/0f/de7d61ce7c72.json new file mode 100644 index 0000000000..1a1c142d6f --- /dev/null +++ b/data/questions/ab/0f/de7d61ce7c72.json @@ -0,0 +1 @@ +{"content":"crwdns3508055:0crwdne3508055:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-4],[8,-5],[3.5,0]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/19/120cea2dd080.json b/data/questions/ab/19/120cea2dd080.json new file mode 100644 index 0000000000..348b9f46cf --- /dev/null +++ b/data/questions/ab/19/120cea2dd080.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw a right triangle with right angle at $(8,6)$, and hypotenuse extending from $(0,14)$ to $(-10,-12)$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,14],[8,6],[-10,-12]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["x","y"],"markings":"graph","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/1f/c0de24e496e8.json b/data/questions/ab/1f/c0de24e496e8.json new file mode 100644 index 0000000000..a5ae12333d --- /dev/null +++ b/data/questions/ab/1f/c0de24e496e8.json @@ -0,0 +1 @@ +{"content":"crwdns6420147:0$pcrwdnd6420147:0$x$crwdne6420147:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[3,0],[-1,0],[2.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/2a/730d5359138b.json b/data/questions/ab/2a/730d5359138b.json new file mode 100644 index 0000000000..02a7c7a052 --- /dev/null +++ b/data/questions/ab/2a/730d5359138b.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac14$ that contains the point $(6,3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[6,3],[2,2]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/2c/f9f76ff5f1d8.json b/data/questions/ab/2c/f9f76ff5f1d8.json new file mode 100644 index 0000000000..e4a9ed2e35 --- /dev/null +++ b/data/questions/ab/2c/f9f76ff5f1d8.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -9+4i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-9,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/2d/a25337d1454b.json b/data/questions/ab/2d/a25337d1454b.json new file mode 100644 index 0000000000..099be2b017 --- /dev/null +++ b/data/questions/ab/2d/a25337d1454b.json @@ -0,0 +1 @@ +{"content":"A professional soccer player can score a goal using his right or left foot. The table below shows how many goals the top scoring players in Europe scored with each foot in the $2014\\,\\text{-}\\,2015$ season (according to www.whoscored.com).\n \n**Plot the data in a scatter plot.** \n \nGoals from...| Ronaldo | Messi | Lacazette | Agüero | Griezmann |\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Right foot** | $29$ | $12$ | $24$ | $18$ | $1$ \n**Left foot** | $6$ | $26$ | $1$ | $7$ | $16$\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[29,6],[12,26],[24,1],[18,7],[1,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["$\\text{Right}$","$\\text{Left}$"],"markings":"graph","range":[[-2,32],[-2,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/31/db4b4209f58c.json b/data/questions/ab/31/db4b4209f58c.json new file mode 100644 index 0000000000..642fad1ccf --- /dev/null +++ b/data/questions/ab/31/db4b4209f58c.json @@ -0,0 +1 @@ +{"content":"Gian is allowed to spend $45$ minutes on the computer after dinner. He spends his entire $45$ minutes either watching videos or playing games.\n\n**Write an equation for the number of minutes Gian spends playing games, $y$, if he spends $x$ minutes watching videos.**\n\n[[☃ expression 1]]\n\n\nOn Monday, Gian spent $5$ minutes watching videos. On Tuesday, he spent $25$ minutes watching videos.\n\n\n**Place points on the graph to show Gian's activity for Monday and Tuesday.**\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=45-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[5,40],[25,20]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[5,5],"labels":["□","□"],"markings":"graph","range":[[-1,46],[-1,46]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/32/e3d775002194.json b/data/questions/ab/32/e3d775002194.json new file mode 100644 index 0000000000..3edc7129a2 --- /dev/null +++ b/data/questions/ab/32/e3d775002194.json @@ -0,0 +1 @@ +{"content":"crwdns4072038:0$8$crwdnd4072038:0$15$crwdnd4072038:0$17$crwdne4072038:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.329896834046583,4.941176470588228],[3.3298968224860417,19.941176464422607],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/3c/83035008c594.json b/data/questions/ab/3c/83035008c594.json new file mode 100644 index 0000000000..338a96d000 --- /dev/null +++ b/data/questions/ab/3c/83035008c594.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\sin(0.25x+0.75\\pi)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-6,-5],[-2,-4.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/3c/d3681a66ed31.json b/data/questions/ab/3c/d3681a66ed31.json new file mode 100644 index 0000000000..2c58d0d7a9 --- /dev/null +++ b/data/questions/ab/3c/d3681a66ed31.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b2bc35a8f5bbc24767856d47249be0885bed826c","width":430},"correct":{"coords":[[6,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/48/66ddb8d5427a.json b/data/questions/ab/48/66ddb8d5427a.json new file mode 100644 index 0000000000..56b91c3ff5 --- /dev/null +++ b/data/questions/ab/48/66ddb8d5427a.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the right and $5$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/33a2a5c04e8d8c2bea17a91f664c1a678371f18d","width":425},"correct":{"coords":[[5,-6],[6,-4],[-3,-2],[-2,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/53/cce6009c52dd.json b/data/questions/ab/53/cce6009c52dd.json new file mode 100644 index 0000000000..aba95eb6a0 --- /dev/null +++ b/data/questions/ab/53/cce6009c52dd.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-8$|$-5$|$0$|$7$|$0$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe70160792319482e4ccad557ff64244ece26433","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,-5]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ab/5c/8c4529ae445e.json b/data/questions/ab/5c/8c4529ae445e.json new file mode 100644 index 0000000000..da2c7c565b --- /dev/null +++ b/data/questions/ab/5c/8c4529ae445e.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{A}$ and goes through point $\\text{B}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":false},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":true},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":true},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/070961f66d772ef37fa4c644a19a05e8ec3d8b39.png","width":400},"correct":{"coords":[[7,-3],[-7,3]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/5c/a8ff5d9f7fe2.json b/data/questions/ab/5c/a8ff5d9f7fe2.json new file mode 100644 index 0000000000..f7c8ae9107 --- /dev/null +++ b/data/questions/ab/5c/a8ff5d9f7fe2.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-7,-4)$ and has a slope of $-\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-7,-4],[-4,-6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/64/5da3c9928b1d.json b/data/questions/ab/64/5da3c9928b1d.json new file mode 100644 index 0000000000..d2e8629e76 --- /dev/null +++ b/data/questions/ab/64/5da3c9928b1d.json @@ -0,0 +1 @@ +{"content":"crwdns2963177:0crwdne2963177:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,12],[12,12],[-6,-6]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/6a/2ea94e448cd1.json b/data/questions/ab/6a/2ea94e448cd1.json new file mode 100644 index 0000000000..19692079a4 --- /dev/null +++ b/data/questions/ab/6a/2ea94e448cd1.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-8$|$-5$|$0$|$7$|$0$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe70160792319482e4ccad557ff64244ece26433","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,-5]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ab/6d/a07973409f1e.json b/data/questions/ab/6d/a07973409f1e.json new file mode 100644 index 0000000000..d60f0e826c --- /dev/null +++ b/data/questions/ab/6d/a07973409f1e.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/43ff893213c3df88e93b7b00115a42197d8555af","width":430},"correct":{"coords":[[1.5,-2.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/73/c94a182f9c31.json b/data/questions/ab/73/c94a182f9c31.json new file mode 100644 index 0000000000..3a546db21a --- /dev/null +++ b/data/questions/ab/73/c94a182f9c31.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{MN}$ is rotated $270^\\circ$ about the point $(0,-5)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b271094f4d6dad3470e1b86fad98edc7f06f892e","width":425},"correct":{"coords":[[[2,1],[7,-3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/79/d29185cfc94b.json b/data/questions/ab/79/d29185cfc94b.json new file mode 100644 index 0000000000..ef8e36de56 --- /dev/null +++ b/data/questions/ab/79/d29185cfc94b.json @@ -0,0 +1 @@ +{"content":"crwdns6727314:0$xcrwdne6727314:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/7b/0d0f3b1a52e6.json b/data/questions/ab/7b/0d0f3b1a52e6.json new file mode 100644 index 0000000000..659c3acb0a --- /dev/null +++ b/data/questions/ab/7b/0d0f3b1a52e6.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=10\\cdot\\left(\\dfrac{3}{5}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,10],[1,6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/a1/f721065e6dd4.json b/data/questions/ab/a1/f721065e6dd4.json new file mode 100644 index 0000000000..196bf895a9 --- /dev/null +++ b/data/questions/ab/a1/f721065e6dd4.json @@ -0,0 +1 @@ +{"content":"crwdns3077833:0$d$crwdnd3077833:0$t$crwdnd3077833:0$0.2$crwdnd3077833:0$t$crwdnd3077833:0$1.8$crwdnd3077833:0$d$crwdnd3077833:0$d$crwdnd3077833:0$t$crwdnd3077833:0$1$crwdnd3077833:0$t$crwdnd3077833:0$dcrwdne3077833:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[1,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns3882320:0crwdne3882320:0","crwdns3882319:0crwdne3882319:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/a2/4919a849b550.json b/data/questions/ab/a2/4919a849b550.json new file mode 100644 index 0000000000..c5efa2d648 --- /dev/null +++ b/data/questions/ab/a2/4919a849b550.json @@ -0,0 +1 @@ +{"content":"crwdns4132420:0$A$crwdnd4132420:0$4$crwdne4132420:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6b03f1d1befcee0e0d3c18b5b613dc05957f8db9","width":400},"correct":{"coords":[[-6,-2],[6,-2],[-6,6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/a4/d9539d448dd2.json b/data/questions/ab/a4/d9539d448dd2.json new file mode 100644 index 0000000000..3ed13c0be2 --- /dev/null +++ b/data/questions/ab/a4/d9539d448dd2.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ का प्रतिबिंब $y$-अक्ष पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42d82e5f734e964a977bb1c3a4973a71d2c0205f","width":425},"correct":{"coords":[[-3,-6],[-2,-3],[-4,-2],[-5,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/ba/9b1780f60c53.json b/data/questions/ab/ba/9b1780f60c53.json new file mode 100644 index 0000000000..02902098c9 --- /dev/null +++ b/data/questions/ab/ba/9b1780f60c53.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with a side of length $7$ in between two $45^\\circ$ angles.** \n \n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"box":[340,340],"correct":{"coords":[[6.75,1.5],[3.25,5],[-0.25,1.5]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"editableSettings":["graph","snap","image","measure"],"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/bd/66aba7054648.json b/data/questions/ab/bd/66aba7054648.json new file mode 100644 index 0000000000..f7a75357f6 --- /dev/null +++ b/data/questions/ab/bd/66aba7054648.json @@ -0,0 +1 @@ +{"content":"Athletes competed for medals in different track and field events at the $2012$ Summer Olympics in London. The table below shows how many gold and silver medals were won by a sample of nations. \n \n**Plot the data in a scatter plot.** \n \n| USA | Russia | Jamaica | Great Britain | Ethiopia | Kenya\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Gold** | $9$ | $8$ | $4$ | $4$ | $3$ | $2$\n**Silver** | $13$ | $4$ | $4$ | $1$ | $1$ | $4$ \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Gold}$","$\\text{Silver}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,14]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[9,13],[8,4],[4,4],[4,1],[3,1],[2,4]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/d2/82d7042460c7.json b/data/questions/ab/d2/82d7042460c7.json new file mode 100644 index 0000000000..c54683ae97 --- /dev/null +++ b/data/questions/ab/d2/82d7042460c7.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(\\dfrac{3}{2}, -\\dfrac{3}{2}\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,5],[-5,5]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"point"},"correct":{"type":"point","coords":[[1.5,-1.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/dd/eb0358c4bfe5.json b/data/questions/ab/dd/eb0358c4bfe5.json new file mode 100644 index 0000000000..11340d8f48 --- /dev/null +++ b/data/questions/ab/dd/eb0358c4bfe5.json @@ -0,0 +1 @@ +{"content":"The graph of the equation $y=\\dfrac{2}{3}x+2$ is shown on the coordinate grid below.\n\n$y=\\dfrac{2}{3}x+2$ is part of a system of two linear equations. The second equation's graph has a slope of $\\dfrac{5}{3}$ and a $y$-intercept of $8$.\n\n**Graph the second equation on the same grid.**\n\n**What is the solution to the system of equations?** \n$($[[☃ input-number 1]], [[☃ input-number 2]]$)$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/1cfda8b99d781125b2be81d146d3aff687fb46ba.png","width":425},"correct":{"coords":[[-3,3],[0,8]],"type":"linear"},"graph":{"type":"linear"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/e2/7f0ee46065b9.json b/data/questions/ab/e2/7f0ee46065b9.json new file mode 100644 index 0000000000..da3e665ef5 --- /dev/null +++ b/data/questions/ab/e2/7f0ee46065b9.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7daad6e18d785918d6de5a2c5ac69902cddc0404","width":430},"correct":{"coords":[[7,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/e5/36be69d8c00b.json b/data/questions/ab/e5/36be69d8c00b.json new file mode 100644 index 0000000000..75ac75dc34 --- /dev/null +++ b/data/questions/ab/e5/36be69d8c00b.json @@ -0,0 +1 @@ +{"content":"crwdns4070499:0$hcrwdne4070499:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,4],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/ec/592fc1963cc0.json b/data/questions/ab/ec/592fc1963cc0.json new file mode 100644 index 0000000000..f877daf553 --- /dev/null +++ b/data/questions/ab/ec/592fc1963cc0.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $f(x)=\\dfrac{20}{9}(x-0.5)(x-3.5)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the function.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-5],[0.5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ab/f1/9a7cf03651ba.json b/data/questions/ab/f1/9a7cf03651ba.json new file mode 100644 index 0000000000..ef807cb9c5 --- /dev/null +++ b/data/questions/ab/f1/9a7cf03651ba.json @@ -0,0 +1 @@ +{"content":"**Plot the real zeros of the given polynomial on the graph below.**\n\n$\\qquad p(x)=2x^5-7x^4+3x^3$\n\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[0.5,0],[3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/ac/0a/16073d16f264.json b/data/questions/ac/0a/16073d16f264.json new file mode 100644 index 0000000000..5fc051e415 --- /dev/null +++ b/data/questions/ac/0a/16073d16f264.json @@ -0,0 +1 @@ +{"content":"The table below shows the relationship between quiz scores and study time (in hours) for each student in Lucas's class. \n\n**Plot the data in a scatter plot.** \n\n|||||||\n:-- | --: | --: | --: | --: | --: | --: |\n**Study time (hours)** | $1.75$ | $1.5$ | $0.5$ | $3$ | $3.25$ | $2$ \n**Score** | $17$ | $15$ | $7$ | $19$ | $20$ | $16$ \n\n\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[0.5,2],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["$\\text{Hours}$","$\\text{Score}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,4],[-2,21]],"gridStep":[0.5,1],"snapStep":[0.25,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1.75,17],[1.5,15],[0.5,7],[3,19],[3.25,20],[2,16]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/10/d20707a0d8b7.json b/data/questions/ac/10/d20707a0d8b7.json new file mode 100644 index 0000000000..dc8902f35f --- /dev/null +++ b/data/questions/ac/10/d20707a0d8b7.json @@ -0,0 +1 @@ +{"content":"crwdns3396756:0{A}crwdnd3396756:0{B}crwdne3396756:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":false},{"content":"crwdns2731610:0crwdne2731610:0","correct":true},{"content":"crwdns2731612:0crwdne2731612:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/9d0b14f85f71aad5488abb536a89caa5a285518f.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[0.10467563061404572,6.465104399621315],[2,2],[-0.000864864905288254,-0.0008648649052878099]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/1c/0bfd863c93eb.json b/data/questions/ac/1c/0bfd863c93eb.json new file mode 100644 index 0000000000..5406d6fe07 --- /dev/null +++ b/data/questions/ac/1c/0bfd863c93eb.json @@ -0,0 +1 @@ +{"content":"Jai's school is located at $3^{\\text{rd}}$ Avenue and $10^{\\text{th}}$ Street, represented by the point $(3,10)$ on the map below. His soccer practice takes place at $9^{\\text{th}}$ Avenue and $2^{\\text{nd}}$ Street, represented by $(9, 2)$ on the map. To get to soccer practice after school, he walks down $3^{\\text{rd}}$ Avenue then over on $2^{\\text{nd}}$ Street.\n\n**Plot Jai's school and his soccer practice field on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Jai walk to get to soccer practice after school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":14},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,10],[9,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/25/5e499ff5f647.json b/data/questions/ac/25/5e499ff5f647.json new file mode 100644 index 0000000000..4d2420378e --- /dev/null +++ b/data/questions/ac/25/5e499ff5f647.json @@ -0,0 +1 @@ +{"content":"crwdns4115383:0$ABCD$crwdne4115383:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a88525033e3e18872d8449e501b30ec4199d9ab","width":400},"correct":{"coords":[[6,-5],[7,-1],[4,-1],[5,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/4a/0bc1d4f60ddd.json b/data/questions/ac/4a/0bc1d4f60ddd.json new file mode 100644 index 0000000000..eade776d13 --- /dev/null +++ b/data/questions/ac/4a/0bc1d4f60ddd.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2\\cdot 3^{-x}-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-4],[10,-4]],"coords":[[0,-2],[-1,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/4a/459903b7e1be.json b/data/questions/ac/4a/459903b7e1be.json new file mode 100644 index 0000000000..29aad223df --- /dev/null +++ b/data/questions/ac/4a/459903b7e1be.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under the translation $(x,y)\\to(x-3,y+4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a849ff536c19c78369d9bd5c25293b4cf156fe15","width":425},"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/50/1dc63d1d22fe.json b/data/questions/ac/50/1dc63d1d22fe.json new file mode 100644 index 0000000000..10ada18872 --- /dev/null +++ b/data/questions/ac/50/1dc63d1d22fe.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{2}{3}(x +1)(x -5)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,6],[-1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/66/18bf9f76fbb4.json b/data/questions/ac/66/18bf9f76fbb4.json new file mode 100644 index 0000000000..f0a46fda38 --- /dev/null +++ b/data/questions/ac/66/18bf9f76fbb4.json @@ -0,0 +1 @@ +{"content":"Biologists introduced a population of bacteria to a test environment. The function $f$ models the population size (in thousands) as a function of time (in days) after introduction.\n\n**Plot the point on the graph of $f$ that corresponds to when there are no more bacteria in the population.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdfc620353de32ae7ea29f969ef097691d46e3a1","width":400},"correct":{"coords":[[4,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,1],"labels":["□","□"],"markings":"none","range":[[-1,5],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/68/921e1a38bed8.json b/data/questions/ac/68/921e1a38bed8.json new file mode 100644 index 0000000000..59cfa73968 --- /dev/null +++ b/data/questions/ac/68/921e1a38bed8.json @@ -0,0 +1 @@ +{"content":"Here's a graph of an exponential function $g$.\n\n[[☃ image 1]]\n\n**What's the domain of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"An ray of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 6, 3). There is a curve from this point downwards and to the right, ending in an arrow at the edge of the graph.","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4446d9488535102008d30570fdc5c2765a629408","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$x>-6$","correct":true},{"content":"$x<6$","correct":false},{"content":"$x \\geq -6$","correct":false,"isNoneOfTheAbove":false},{"content":"$x \\leq 6$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ac/89/e0acb4a6b30a.json b/data/questions/ac/89/e0acb4a6b30a.json new file mode 100644 index 0000000000..95e9ae3e32 --- /dev/null +++ b/data/questions/ac/89/e0acb4a6b30a.json @@ -0,0 +1 @@ +{"content":"Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $10\\text{ m}$ and height $15\\text{ m}$.\n\n**Draw the garden such that $1$ unit on the grid below represents $ 2\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[11,6],[6,13.5],[6,6]],"match":"congruent","numSides":3,"showSides":true,"type":"polygon"},"graph":{"numSides":3,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/92/ef4b7e515314.json b/data/questions/ac/92/ef4b7e515314.json new file mode 100644 index 0000000000..8f2f6a8934 --- /dev/null +++ b/data/questions/ac/92/ef4b7e515314.json @@ -0,0 +1 @@ +{"content":"$\\triangle{CAN}$ is reflected over the line $y=-\\dfrac{2}{3}x+2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 7]]","images":{},"widgets":{"interactive-graph 7":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3870b639dd93c132a6af75b487de911010cc8ae0","width":425},"correct":{"coords":[[-1,7],[8,1],[7,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/b5/2e4f30ad39e4.json b/data/questions/ac/b5/2e4f30ad39e4.json new file mode 100644 index 0000000000..2de39bf952 --- /dev/null +++ b/data/questions/ac/b5/2e4f30ad39e4.json @@ -0,0 +1 @@ +{"content":"At a school fair, you earn $10$ points for each balloon you pop by throwing a dart. In the graph below, $x$ represents the number of balloons that you pop, and $y$ represents the total number of points that you score.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$y=10x$\n\n**Plot points on the graph that show the number of points you will score by popping $3$ balloons and $5$ balloons.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,30],[5,50]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-5,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/b7/4652da243cf4.json b/data/questions/ac/b7/4652da243cf4.json new file mode 100644 index 0000000000..38467e1f22 --- /dev/null +++ b/data/questions/ac/b7/4652da243cf4.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,1)$ and $(5,1)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,1],[5,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/bf/2e1c0abecddf.json b/data/questions/ac/bf/2e1c0abecddf.json new file mode 100644 index 0000000000..43596ce267 --- /dev/null +++ b/data/questions/ac/bf/2e1c0abecddf.json @@ -0,0 +1 @@ +{"content":"Jim lives at $1^{\\text{st}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(1,11)$ on the map below. He and his best friend decide to go to the bookstore at $5^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(5, 4)$ on the map. They walk down $1^{\\text{st}}$ Avenue then over on $4^{\\text{th}}$ Street. \n\n**Plot Jim's home and the bookstore on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How many blocks do they walk to get to the bookstore?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":11},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,11],[5,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ac/d1/9dc9ca6c2980.json b/data/questions/ac/d1/9dc9ca6c2980.json new file mode 100644 index 0000000000..7af4354fee --- /dev/null +++ b/data/questions/ac/d1/9dc9ca6c2980.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\sin\\left(\\dfrac{1}{7}x\\right)-3$ in the interactive widget.**\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/05/43c56e0c7c39.json b/data/questions/ad/05/43c56e0c7c39.json new file mode 100644 index 0000000000..1f49c40e22 --- /dev/null +++ b/data/questions/ad/05/43c56e0c7c39.json @@ -0,0 +1 @@ +{"content":"This one has a ruler.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":true,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/05/4cc6797c5e23.json b/data/questions/ad/05/4cc6797c5e23.json new file mode 100644 index 0000000000..0082b72bef --- /dev/null +++ b/data/questions/ad/05/4cc6797c5e23.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(1,5)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,5]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/06/9ad103bcb690.json b/data/questions/ad/06/9ad103bcb690.json new file mode 100644 index 0000000000..3efe305d1f --- /dev/null +++ b/data/questions/ad/06/9ad103bcb690.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5681784efcef850226c881e2a3bc194d3193fe7c","width":430},"correct":{"coords":[[4,6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/0a/8ffd3185c79e.json b/data/questions/ad/0a/8ffd3185c79e.json new file mode 100644 index 0000000000..c64addfa6d --- /dev/null +++ b/data/questions/ad/0a/8ffd3185c79e.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ को चतुर्भुज $A'B'C'D'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bf508f2ea0530b3f4821c9e9f4fa74db09bd4e12","width":425},"correct":{"coords":[[2,2],[-5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/11/7439f6edc147.json b/data/questions/ad/11/7439f6edc147.json new file mode 100644 index 0000000000..88d6e30443 --- /dev/null +++ b/data/questions/ad/11/7439f6edc147.json @@ -0,0 +1 @@ +{"content":"Mia kicked a football. The function $f$ models the height of the ball above the ground (in meters) as a function of time (in seconds) after Mia kicked it.\n\n**Plot the point on the graph of $f$ that corresponds to when the ball hit the ground.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/824e3ae76682db1d491aafe9fc34a65caf4c2b8a","width":400},"correct":{"coords":[[4,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,2],"labels":["ẍẋ","ý"],"markings":"none","range":[[-0.5,5],[-2,23]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/35/173239fa9683.json b/data/questions/ad/35/173239fa9683.json new file mode 100644 index 0000000000..2697a26b45 --- /dev/null +++ b/data/questions/ad/35/173239fa9683.json @@ -0,0 +1 @@ +{"content":"###Custom Example: Test sides snapping with sides showing###\n\nChange the triangle to have sides of 11, 12, and 13\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","showAngles":false,"showSides":true,"snapTo":"sides"},"correct":{"type":"polygon","showSides":true,"snapTo":"sides","coords":[[6.459827676935633,-3.842058031986364],[8.881784197001252e-16,6.270836033724811],[-6.482251407080411,-2.6162566683574635]],"match":"congruent","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"showAngles":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/4b/bb6f9d835bea.json b/data/questions/ad/4b/bb6f9d835bea.json new file mode 100644 index 0000000000..077f1ef657 --- /dev/null +++ b/data/questions/ad/4b/bb6f9d835bea.json @@ -0,0 +1 @@ +{"content":"crwdns3144126:0$WARM$crwdnd3144126:0$ycrwdnd3144126:0{3}crwdnd3144126:0{2}crwdne3144126:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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8":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91bff50cb2ef573e2196866cf2ddc9c5675e4a0f","width":425},"correct":{"coords":[[-1,4],[4,9],[-5,7],[-8,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 9":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5bdc39cb5bd00ae5acdfa05f1f6b5feaa8414dff","width":425},"correct":{"coords":[[-7,4],[-3,-2],[8,1],[6,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/54/10303dfa7b6d.json b/data/questions/ad/54/10303dfa7b6d.json new file mode 100644 index 0000000000..9f1c747bbb --- /dev/null +++ b/data/questions/ad/54/10303dfa7b6d.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/644f019558e05465669728576c1033e53f6aa4d5)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/0a54c523c05b0d8ce3ff1e9a6ea03756b9b3e711.png":{"height":236,"width":142},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/644f019558e05465669728576c1033e53f6aa4d5":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["ṔṖóòíìńňťț","ṼṾáàĺľúùéè"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$1$","$\\dfrac56$","$-\\dfrac13$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/55/40f5bc5d9a86.json b/data/questions/ad/55/40f5bc5d9a86.json new file mode 100644 index 0000000000..df3b56bc43 --- /dev/null +++ b/data/questions/ad/55/40f5bc5d9a86.json @@ -0,0 +1 @@ +{"content":"The graph of the function $h(x)=\\dfrac{1}{2}|x|$ is shown on the grid below.\n\n**Graph the function $f(x)=\\dfrac{1}{2}|x|-9$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":null,"coords":[[0,-9],[2,-8]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54327f5e21dd498ed85911f5404d3c881ee1c036","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/57/6ba99fddaf0a.json b/data/questions/ad/57/6ba99fddaf0a.json new file mode 100644 index 0000000000..ce8fa3bc7e --- /dev/null +++ b/data/questions/ad/57/6ba99fddaf0a.json @@ -0,0 +1 @@ +{"content":"The $3$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $3$ points, plot the $3$ corresponding points that must be on the graph of $y=\\log_b{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/8abd4d786e557d2d1fef2e79404203b5da19920c.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,17],[-4,17]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[16,2],[1,0],[4,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/58/6beed4f20df8.json b/data/questions/ad/58/6beed4f20df8.json new file mode 100644 index 0000000000..5074eb3389 --- /dev/null +++ b/data/questions/ad/58/6beed4f20df8.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$1.4$|$2.8$|$4.2$|$5.6$\n$y$|$0$|$1$|$2$|$3$|$4$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.7142857142857143},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/6a/51798be9b81c.json b/data/questions/ad/6a/51798be9b81c.json new file mode 100644 index 0000000000..b7e9a3d99a --- /dev/null +++ b/data/questions/ad/6a/51798be9b81c.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the figure below. Put the orange points on the figure.**\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/42be3adef717b50f11f1f6fcadac37e6153b8931.png","width":400},"correct":{"coords":[[-5,5],[5,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/6e/556e35e88000.json b/data/questions/ad/6e/556e35e88000.json new file mode 100644 index 0000000000..89fff66181 --- /dev/null +++ b/data/questions/ad/6e/556e35e88000.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{3}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fa46ca1527f385279c1d927cd94cd014ec77d070","width":400},"correct":{"coords":[[3,-5],[0,-2],[-1,-4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/6f/7415f82a5245.json b/data/questions/ad/6f/7415f82a5245.json new file mode 100644 index 0000000000..587cc4373a --- /dev/null +++ b/data/questions/ad/6f/7415f82a5245.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3f324f213832bfad3bdd71766e6d8923a30e97c","width":430},"correct":{"coords":[[0,-1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/79/0b846060426a.json b/data/questions/ad/79/0b846060426a.json new file mode 100644 index 0000000000..6227d941e0 --- /dev/null +++ b/data/questions/ad/79/0b846060426a.json @@ -0,0 +1 @@ +{"content":"The figure below shows three sides of an incomplete pentagon. \n\n**Using the movable line segments below, connect points A and D to one of the black points to finish building a pentagon that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a309d068b766fd494de1621f0d3c5f958469a276","width":400},"correct":{"coords":[[[8,5],[5,1]],[[8,5],[5.5,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/8e/308dc2a694a1.json b/data/questions/ad/8e/308dc2a694a1.json new file mode 100644 index 0000000000..e2f45970b0 --- /dev/null +++ b/data/questions/ad/8e/308dc2a694a1.json @@ -0,0 +1 @@ +{"content":"The interactive graph below contains the graph of $y=\\log_2(x)$ as a dashed curve, with the points $(1,0)$ and $(2,1)$ highlighted.\n\n**Adjust the movable graph to draw $y=4\\log_2(x+6)-7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-6,-10],[-6,10]],"coords":[[-4,-3],[-5,-7]],"type":"logarithm"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ca5bbe65051d1e84dc6c0965865ce61402997946","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/97/c1333a46121e.json b/data/questions/ad/97/c1333a46121e.json new file mode 100644 index 0000000000..c3544391ef --- /dev/null +++ b/data/questions/ad/97/c1333a46121e.json @@ -0,0 +1 @@ +{"content":"**Graph $-9x+5y=45$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,9],[-5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/9e/127b79bbc07e.json b/data/questions/ad/9e/127b79bbc07e.json new file mode 100644 index 0000000000..49f42ff4cf --- /dev/null +++ b/data/questions/ad/9e/127b79bbc07e.json @@ -0,0 +1 @@ +{"content":"**Graph $y=8.5x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,8.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"ŤŢĥȟéè éèʠúùáàťțíìóòńň ŕřéèṕṗŕřéèśŝéèńňťțśŝ áà ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $8.5$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{2}{17}$ .","correct":false},{"content":" A change of $17$ units in $x$ results in a change of $2$ units in $y$.","correct":false},{"content":" A change of $4$ units in $x$ results in a change of $34$ units in $y$.","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/a2/032bbcc6a059.json b/data/questions/ad/a2/032bbcc6a059.json new file mode 100644 index 0000000000..6cbc2365f4 --- /dev/null +++ b/data/questions/ad/a2/032bbcc6a059.json @@ -0,0 +1 @@ +{"content":"**Graph $y=6\\cos\\left(\\dfrac{\\pi}{4}x\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[2,-2],[0,4]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":null,"width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/a5/5549c82724af.json b/data/questions/ad/a5/5549c82724af.json new file mode 100644 index 0000000000..e17f86c101 --- /dev/null +++ b/data/questions/ad/a5/5549c82724af.json @@ -0,0 +1 @@ +{"content":"crwdns4115388:0$y$crwdne4115388:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/627679bd8f17701f0bb377ad49543dafc3ef4d14","width":425},"correct":{"coords":[[-2,2],[-2,4],[-5,3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/a5/7bd9dbf685f1.json b/data/questions/ad/a5/7bd9dbf685f1.json new file mode 100644 index 0000000000..f3432327de --- /dev/null +++ b/data/questions/ad/a5/7bd9dbf685f1.json @@ -0,0 +1 @@ +{"content":"Leben lives at $3^{\\text{rd}}$ Avenue and $1^{\\text{st}}$ Street, represented by the point $(3,1)$ on the map below. Her school is located at $5^{\\text{th}}$ Avenue and $8^{\\text{th}}$ Street, represented by $(5, 8)$ on the map. To get to school, she walks over to $5^{\\text{th}}$ Avenue and up to $8^{\\text{th}}$ Street.\n\n**Plot Leben's home and her school on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Leben walk to get to school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,1],[5,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/a7/bccf8ca29788.json b/data/questions/ad/a7/bccf8ca29788.json new file mode 100644 index 0000000000..3781683415 --- /dev/null +++ b/data/questions/ad/a7/bccf8ca29788.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{3}{2}(x-2)^2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,0],[4,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/a8/429653198f5e.json b/data/questions/ad/a8/429653198f5e.json new file mode 100644 index 0000000000..fdf91a33ac --- /dev/null +++ b/data/questions/ad/a8/429653198f5e.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\log_2(-x+1)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[1,-10],[1,10]],"coords":[[-1,-3],[0,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/ae/a193007c0530.json b/data/questions/ad/ae/a193007c0530.json new file mode 100644 index 0000000000..cd8809bef3 --- /dev/null +++ b/data/questions/ad/ae/a193007c0530.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54acda61b712f60ff784e4dc6ef203668b95e198","width":425},"correct":{"coords":[[0,-1],[2,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/af/10b43f15af98.json b/data/questions/ad/af/10b43f15af98.json new file mode 100644 index 0000000000..0475a88f20 --- /dev/null +++ b/data/questions/ad/af/10b43f15af98.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=2x-4\n\\\\\\\\\n& y=6x+4\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,-4],[1,-2]],[[0,4],[-1,-2]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"input answer","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-8}],"coefficient":false,"labelText":"input answer","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/b0/a3121baf150d.json b/data/questions/ad/b0/a3121baf150d.json new file mode 100644 index 0000000000..66c49021b9 --- /dev/null +++ b/data/questions/ad/b0/a3121baf150d.json @@ -0,0 +1 @@ +{"content":"crwdns3295110:0$1$crwdnd3295110:0$2$crwdnd3295110:0$3$crwdnd3295110:0$4$crwdnd3295110:0$5$crwdnd3295110:0$6$crwdnd3295110:0$3$crwdnd3295110:0$2$crwdnd3295110:0$1$crwdnd3295110:0$0$crwdnd3295110:0$2.5$crwdnd3295110:0$3.5$crwdnd3295110:0$-0.4$crwdnd3295110:0$0.1$crwdnd3295110:0$0.2$crwdnd3295110:0$0.5$crwdnd3295110:0$-0.3$crwdnd3295110:0$-0.5$crwdne3295110:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,-0.4],[2,0.1],[1,0.2],[0,0.5],[2.5,-0.30000000000000004],[3.5,-0.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.1],"labels":["crwdns3218676:0{Hours}crwdne3218676:0","crwdns3212939:0{Height}crwdne3212939:0"],"markings":"graph","range":[[-0.5,5],[-0.6,0.6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.05],"step":[0.5,0.2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/b4/48b4d91fcce5.json b/data/questions/ad/b4/48b4d91fcce5.json new file mode 100644 index 0000000000..ddf6a364e4 --- /dev/null +++ b/data/questions/ad/b4/48b4d91fcce5.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nHolly swims without a membership. Consider the relationship between the number of days Holly swims and the total cost.\n\n \n**Fill in the table with the missing values.** \n \nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n\n**Is the relationship between the number of days Holly swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":0,"scale":"1","url":"","width":0},"correct":{"coords":[[2,4],[1,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\text{Days}","\\text{Cost}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/c7/985f5b5887f8.json b/data/questions/ad/c7/985f5b5887f8.json new file mode 100644 index 0000000000..7aafc0aa40 --- /dev/null +++ b/data/questions/ad/c7/985f5b5887f8.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $9$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,-1],[0,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/cb/d1f18046dbda.json b/data/questions/ad/cb/d1f18046dbda.json new file mode 100644 index 0000000000..c665329a6c --- /dev/null +++ b/data/questions/ad/cb/d1f18046dbda.json @@ -0,0 +1 @@ +{"content":"crwdns6420655:0$ycrwdne6420655:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-6,-10],[-6,10]],"coords":[[2,4],[-2,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/ef/ef666ed1c986.json b/data/questions/ad/ef/ef666ed1c986.json new file mode 100644 index 0000000000..77a51c23a1 --- /dev/null +++ b/data/questions/ad/ef/ef666ed1c986.json @@ -0,0 +1 @@ +{"content":"Max's Department Store receives stuffed bears in boxes that each contain $2$ stuffed bears.\n\n\n\n**Sketch a graph below that represents this relationship.**\n\n\n\n**Which of the following equations could be used to find the number of stuffed animals Max's Department Store receives, $y$, when they receive $3$ boxes?** \n\n[[☃ radio 1]]\n\n**Find $y$.**\n\n$y = $ [[☃ numeric-input 1]]\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-images.s3.amazonaws.com/ad576d51bec7f62583d5183843029c8ab9979bf5.png":{"height":382,"width":382}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\□□□□{□□□□□}","\\□□□□{□□□□□}"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$\\dfrac{1}{2} = \\dfrac{3}{y}$","correct":true},{"content":"$\\dfrac{1}{2} = \\dfrac{y}{3}$"},{"content":"$\\dfrac{2}{1} = \\dfrac{y}{3}$","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/f0/96f9144a0e38.json b/data/questions/ad/f0/96f9144a0e38.json new file mode 100644 index 0000000000..ddd266d864 --- /dev/null +++ b/data/questions/ad/f0/96f9144a0e38.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(3,4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/f4/fb649985e1e4.json b/data/questions/ad/f4/fb649985e1e4.json new file mode 100644 index 0000000000..fb30af9390 --- /dev/null +++ b/data/questions/ad/f4/fb649985e1e4.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,5)$, and which has the point $(-3,5)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ad/ff/064562daa1f9.json b/data/questions/ad/ff/064562daa1f9.json new file mode 100644 index 0000000000..d8cfd7fed2 --- /dev/null +++ b/data/questions/ad/ff/064562daa1f9.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(4,3\\dfrac12)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(4,3\\dfrac12)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,3.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□□□□□□□ ","correct":true},{"content":"□□□□□□ □□□□□□□□ ","correct":false},{"content":"□□□□□ □□□□□□□□","correct":false},{"content":"□□□□□□ □□□□□□□□","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ae/03/e8d93875961a.json b/data/questions/ae/03/e8d93875961a.json new file mode 100644 index 0000000000..94125cb715 --- /dev/null +++ b/data/questions/ae/03/e8d93875961a.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{2y=\\dfrac{x}{2}+14}$\n\n$\\qquad\\pink{-4x+y=-20}$\n\n**Create a new equation by adding the equations together.** \n(Be sure to combine like terms.) \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=3/2x - 2"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/f3a8cddb6c92d4cabe6b97258cd589d1dec037cb.png","width":425},"correct":{"coords":[[2,1],[0,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/1a/9c97050d4775.json b/data/questions/ae/1a/9c97050d4775.json new file mode 100644 index 0000000000..a9e4c101a2 --- /dev/null +++ b/data/questions/ae/1a/9c97050d4775.json @@ -0,0 +1 @@ +{"content":"**Construct a $75^\\circ$ angle.** \n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/1c/3e76fd9f775b.json b/data/questions/ae/1c/3e76fd9f775b.json new file mode 100644 index 0000000000..3f03eca7ce --- /dev/null +++ b/data/questions/ae/1c/3e76fd9f775b.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $4$\n\nPattern $y$: Starting number: $4$, Rule: add $2$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[12,6],[16,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/1c/8e61198cb3cb.json b/data/questions/ae/1c/8e61198cb3cb.json new file mode 100644 index 0000000000..f493f4e333 --- /dev/null +++ b/data/questions/ae/1c/8e61198cb3cb.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=2\\cos\\left(\\dfrac{\\pi}{5}x-\\dfrac{2\\pi}{5}\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4.5,-4],[2,-2]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/1e/d1f20684d945.json b/data/questions/ae/1e/d1f20684d945.json new file mode 100644 index 0000000000..b54c81b7dc --- /dev/null +++ b/data/questions/ae/1e/d1f20684d945.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=2\\cos\\left(\\dfrac{\\pi}{5}x-\\dfrac{2\\pi}{5}\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[4.5,-4],[2,-2]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/28/8f5f9dd15353.json b/data/questions/ae/28/8f5f9dd15353.json new file mode 100644 index 0000000000..ab38bcc6a9 --- /dev/null +++ b/data/questions/ae/28/8f5f9dd15353.json @@ -0,0 +1 @@ +{"content":"$\\triangle{RUN}$ is rotated $-90^\\circ$ about the point $(-2,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/208b64fd396332df8499a6e47af0f2512532ece6","width":425},"correct":{"coords":[[-8,8],[0,7],[0,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/2b/42c80d26e808.json b/data/questions/ae/2b/42c80d26e808.json new file mode 100644 index 0000000000..604022c058 --- /dev/null +++ b/data/questions/ae/2b/42c80d26e808.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(4,6)$, and which has the point $(2,6)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[4,6],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/2b/63ad2ab29a68.json b/data/questions/ae/2b/63ad2ab29a68.json new file mode 100644 index 0000000000..a4379e05ae --- /dev/null +++ b/data/questions/ae/2b/63ad2ab29a68.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nNatalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.\n\n| | |\n- | :-: | :-:| :-:| :-:\nTargets hit | $1$| $2$| $5$ \nPoints | $3$ | $6$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Natalie's points proportional to the number of targets she hit?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,3],[2,6],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["$\\small{\\text{Targets hit}}$","$\\text{Points}$"],"markings":"graph","range":[[-0.5,7],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.5],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ae/3c/b4c321ef1c74.json b/data/questions/ae/3c/b4c321ef1c74.json new file mode 100644 index 0000000000..a34d709f54 --- /dev/null +++ b/data/questions/ae/3c/b4c321ef1c74.json @@ -0,0 +1 @@ +{"content":"Match the segment to the dotted segment in the background.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[3,8],[8,8]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"labels":["x","y"],"lockedFigures":[{"color":"green","coord":[-9,9],"filled":true,"type":"point"},{"color":"blue","kind":"segment","lineStyle":"solid","points":[{"color":"blue","coord":[3,8],"filled":true,"type":"point"},{"color":"blue","coord":[8,8],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"angle":0,"center":[0,2],"color":"purple","fillStyle":"none","radius":[1,1],"strokeStyle":"solid","type":"ellipse"},{"color":"pink","points":[[-2,-2],[-4,-4]],"type":"vector"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/3f/775c7aac6e10.json b/data/questions/ae/3f/775c7aac6e10.json new file mode 100644 index 0000000000..f10db63a20 --- /dev/null +++ b/data/questions/ae/3f/775c7aac6e10.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -5+8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-5,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/53/976d7baf1516.json b/data/questions/ae/53/976d7baf1516.json new file mode 100644 index 0000000000..18514f20b9 --- /dev/null +++ b/data/questions/ae/53/976d7baf1516.json @@ -0,0 +1 @@ +{"content":"Cam attempted to graph the equation $3(y-2) + x = 9$, but he got it wrong! His graph is shown below.\n\n**Step 1: Find an actual solution. \nWhen $x$ is $3$, the value of $y$ is** [[☃ numeric-input 1]].\n\n**Step 2: Plot the solution.**\n\n[[☃ interactive-graph 1]]\n\n**Step 3: Check if the solution is on the graph.**\n\n[[☃ radio 1]]","images":{"http://s3.amazonaws.com/illustrativemathematics/images/000/000/818/medium/seven_circles_ba4a5fd8b0a4a751dc704e843912f6ef.jpg?1336174598":{"height":300,"width":291}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"size":"small"},"type":"numeric-input"},"radio 1":{"graded":true,"options":{"choices":[{"content":"□□□, □□□ □□□□□□□□ □□ □□ □□□'□ □□□□□.","correct":false},{"content":"□□, □□□ □□□□□□□□ □□ □□□ □□ □□□'□ □□□□□. □□□□□□□□□, □□□ □□□□□ □□ □□□□□.","correct":false}],"displayCount":null,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/ae/5e/132fcb8fb44b.json b/data/questions/ae/5e/132fcb8fb44b.json new file mode 100644 index 0000000000..268b1198a7 --- /dev/null +++ b/data/questions/ae/5e/132fcb8fb44b.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$5$|$4$|$3$|$2$|$1$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd5727c0aa8f813e1fcbdb2cd2a25e224cccde6","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-4]],[[-5,0],[5,-1]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ae/5e/492f2d2e7b2c.json b/data/questions/ae/5e/492f2d2e7b2c.json new file mode 100644 index 0000000000..fd016aa22c --- /dev/null +++ b/data/questions/ae/5e/492f2d2e7b2c.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $3$ units in $t$ corresponds to an increase of $4$ units in $d$.\n \n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.3333333333333333"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"1","height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[3,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ťț","ďđ"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/61/4dbb569362ec.json b/data/questions/ae/61/4dbb569362ec.json new file mode 100644 index 0000000000..b2f11c46f5 --- /dev/null +++ b/data/questions/ae/61/4dbb569362ec.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $0.4.$ In other words, a change of $1$ unit in $x$ corresponds to a change of $0.4$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=0.4x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,2],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/76/ad5e5fbe23fb.json b/data/questions/ae/76/ad5e5fbe23fb.json new file mode 100644 index 0000000000..eb19c62722 --- /dev/null +++ b/data/questions/ae/76/ad5e5fbe23fb.json @@ -0,0 +1 @@ +{"content":"crwdns5193752:0$A$crwdne5193752:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b23a1ea6cd492cacc5a6942afefcb1dc35e93ec5","width":400},"correct":{"coords":[[-6,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/79/dc5a4ed1d2be.json b/data/questions/ae/79/dc5a4ed1d2be.json new file mode 100644 index 0000000000..0ab558e008 --- /dev/null +++ b/data/questions/ae/79/dc5a4ed1d2be.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7360b7d63804f5773182e3d2f687f5a132efe69c","width":425},"correct":{"coords":[[-3,-2],[1,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/7b/74a5951a19d7.json b/data/questions/ae/7b/74a5951a19d7.json new file mode 100644 index 0000000000..4bd9566fcf --- /dev/null +++ b/data/questions/ae/7b/74a5951a19d7.json @@ -0,0 +1 @@ +{"content":"crwdns4115302:0crwdne4115302:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/08955a488d186a768440df6bd005f236e8e7c7bd","width":425},"correct":{"coords":[[-4,1],[4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/7d/3ffe87ddef7b.json b/data/questions/ae/7d/3ffe87ddef7b.json new file mode 100644 index 0000000000..f413e6eec4 --- /dev/null +++ b/data/questions/ae/7d/3ffe87ddef7b.json @@ -0,0 +1 @@ +{"content":"crwdns3897493:0crwdne3897493:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2710954c464a5def3d89bb41e3d802cbaa06b71f","width":425},"correct":{"coords":[[1,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/88/66b367863471.json b/data/questions/ae/88/66b367863471.json new file mode 100644 index 0000000000..f1afb254f0 --- /dev/null +++ b/data/questions/ae/88/66b367863471.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n-0.5x-8 & , & [-10,2) \\\\\\\\\n2.75x-14.5 & , & [2,6)\\\\\\\\\n-0.25x+3.5 & , & [6,10]\\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[-10,-3],[2,-9]],[[10,1],[6,2]],[[2,-9],[6,2]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/88/c3ee4c05e595.json b/data/questions/ae/88/c3ee4c05e595.json new file mode 100644 index 0000000000..0b8878faa2 --- /dev/null +++ b/data/questions/ae/88/c3ee4c05e595.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-\\dfrac34$ that contains the point $(2,3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[6,0],[2,3]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/8b/6a948ccd2cb5.json b/data/questions/ae/8b/6a948ccd2cb5.json new file mode 100644 index 0000000000..14e8fb482b --- /dev/null +++ b/data/questions/ae/8b/6a948ccd2cb5.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nMariah bought a membership to the pool. Consider the relationship between the number of days Mariah swims and the total cost.\n\n\n\n**Fill in the table with the missing values. The total price should include the price of the subscription.\n** \n\n\nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the days Mariah swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/5b3eda7037bca879d535b20d27a5c7d263ffcc9f.png":{"height":435,"width":434}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":439,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ece1090760799daa30bdcacc7806dc4d1e4e151","width":439},"correct":{"coords":[[10,30],[20,40]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Ýéèśŝ**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":false},{"content":"**ŃŇóò**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ńňóòťț ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/8d/aab55db4132d.json b/data/questions/ae/8d/aab55db4132d.json new file mode 100644 index 0000000000..6734132de5 --- /dev/null +++ b/data/questions/ae/8d/aab55db4132d.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations.**\n\n$\\begin{cases}\n& y=-x+6\n\\\\\\\\\n& 5x+5y=15\n\\end{cases}$\n\n[[☃ interactive-graph 2]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 3]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,3],[1,2]],[[0,6],[1,5]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 3":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":false},{"content":"No solutions","correct":true},{"content":"Infinitely many solutions","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ae/8e/43ba7849f4fb.json b/data/questions/ae/8e/43ba7849f4fb.json new file mode 100644 index 0000000000..1864ff4585 --- /dev/null +++ b/data/questions/ae/8e/43ba7849f4fb.json @@ -0,0 +1 @@ +{"content":"crwdns4070171:0$hcrwdne4070171:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-3,-2],[-2,-5]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/8e/4a65222b3956.json b/data/questions/ae/8e/4a65222b3956.json new file mode 100644 index 0000000000..ea7bac9fba --- /dev/null +++ b/data/questions/ae/8e/4a65222b3956.json @@ -0,0 +1 @@ +{"content":"A quadratic function $f$ has two real solutions, $x=-3$ and $x=3$, that make $f(x)=0$.\n\n**Select the equations that could define $f$ in standard form.**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"buttonSets":["basic"],"buttonsVisible":"focused","considered":"correct","form":true,"functions":["f","g","h"],"key":0,"linterContext":{"contentType":"","highlightLint":false,"paths":[],"stack":[]},"simplify":false,"times":false,"value":"-2x^{2}-2x+40"}],"buttonSets":["basic"],"functions":["f","g","h"],"static":false,"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 8 to 8. The quadratic function is concave up, has x intercepts at (negative 4, 0) and (2, 0), and an f of x intercept at (0, -4).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54f1504dc9a3d4345177669b462ddf3081f5a0f5","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"type":"quadratic"},"graph":{"type":"quadratic"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f(x)=-x^{2}+9$","correct":true},{"content":"$f(x)=x^{2}+9$","correct":false},{"content":"$f(x)=-x^{2}-9$","correct":false},{"content":"$f(x)=x^{2}-9$","correct":true}],"countChoices":true,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ae/8f/900388f9658a.json b/data/questions/ae/8f/900388f9658a.json new file mode 100644 index 0000000000..3e0c3ec89b --- /dev/null +++ b/data/questions/ae/8f/900388f9658a.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42b8844cf290cdaffa4dbb4bb5e7cd7026c6f25e","width":425},"correct":{"coords":[[12,0],[-12,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/94/fa0bec9a23ac.json b/data/questions/ae/94/fa0bec9a23ac.json new file mode 100644 index 0000000000..8d2b25969f --- /dev/null +++ b/data/questions/ae/94/fa0bec9a23ac.json @@ -0,0 +1 @@ +{"content":"crwdns3295080:0$1$crwdnd3295080:0$2$crwdnd3295080:0$3$crwdnd3295080:0$4$crwdnd3295080:0$5$crwdnd3295080:0$6$crwdnd3295080:0$4.25$crwdnd3295080:0$5.0$crwdnd3295080:0$5.75$crwdnd3295080:0$6.25$crwdnd3295080:0$6.75$crwdnd3295080:0$7.0$crwdne3295080:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,4.25],[2,5],[3,5.75],[4,6.25],[5,6.75],[6,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,0.5],"labels":["crwdns3276175:0{Age}crwdne3276175:0","crwdns3212977:0{Weight}crwdne3212977:0"],"markings":"graph","range":[[-0.5,7],[-1,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/a0/0b12bdd81c88.json b/data/questions/ae/a0/0b12bdd81c88.json new file mode 100644 index 0000000000..c2657a0e7a --- /dev/null +++ b/data/questions/ae/a0/0b12bdd81c88.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 1$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[1,0]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/aa/af41130f9b8d.json b/data/questions/ae/aa/af41130f9b8d.json new file mode 100644 index 0000000000..baa4b0e79a --- /dev/null +++ b/data/questions/ae/aa/af41130f9b8d.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/ab/a92e0d91156d.json b/data/questions/ae/ab/a92e0d91156d.json new file mode 100644 index 0000000000..9bcda9b60a --- /dev/null +++ b/data/questions/ae/ab/a92e0d91156d.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$2$|$3$|$4$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a86c03713a29d33e2a5f8d2abfa578594dbba2e0","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,1]],[[-5,-3],[5,-2]],[[-5,-6],[5,-5]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/ae/b7/01e369281613.json b/data/questions/ae/b7/01e369281613.json new file mode 100644 index 0000000000..ebc7c34c09 --- /dev/null +++ b/data/questions/ae/b7/01e369281613.json @@ -0,0 +1 @@ +{"content":"Move the line segment so one endpoint is at $(0, 0)$ and the other is at $(1, 1)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,0],[1,1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"showProtractor":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/b7/2bf169869687.json b/data/questions/ae/b7/2bf169869687.json new file mode 100644 index 0000000000..bf618e9f1d --- /dev/null +++ b/data/questions/ae/b7/2bf169869687.json @@ -0,0 +1 @@ +{"content":"The interactive graph below contains the graph of $y=\\log_2(x)$ as a dashed curve, with the points $(1,0)$ and $(2,1)$ highlighted.\n\n**Adjust the movable graph to draw $y=4\\log_2(x+6)-7$.**\n\n[[☃ grapher 2]]","images":{},"widgets":{"grapher 2":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-6,-10],[-6,10]],"coords":[[-4,-3],[-5,-7]],"type":"logarithm"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ca5bbe65051d1e84dc6c0965865ce61402997946","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/b7/3544a6268d08.json b/data/questions/ae/b7/3544a6268d08.json new file mode 100644 index 0000000000..43d5dd53aa --- /dev/null +++ b/data/questions/ae/b7/3544a6268d08.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $6$ units in $t$ corresponds to an increase of $7$ units in $d$.\n\n **What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the line.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.1666666666666667"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[6,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ťț","ďđ"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/b8/e7e49c3d7b39.json b/data/questions/ae/b8/e7e49c3d7b39.json new file mode 100644 index 0000000000..cad9ada3af --- /dev/null +++ b/data/questions/ae/b8/e7e49c3d7b39.json @@ -0,0 +1 @@ +{"content":"###Prod Example: Test correct and incorrect###\n\nThe upper-left coordinate on a rectangle is $(-1,7)$, and the upper-right coordinate is $(4,7)$. The rectangle has an area of $20$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\nAnswer coords: \n(4, 7) (4, 3) (-1, 3) (-1, 7)\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[4,7],[4,3],[-1,3],[-1,7]],"snapTo":"grid","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/b9/0d1bb49f9ffa.json b/data/questions/ae/b9/0d1bb49f9ffa.json new file mode 100644 index 0000000000..2b2f8f977b --- /dev/null +++ b/data/questions/ae/b9/0d1bb49f9ffa.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-8,8)$, and the upper-right coordinates are $(-3,8)$. The rectangle has an area of $15$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[-3,5],[-3,8],[-8,8],[-8,5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ae/db/450dd1bbcca5.json b/data/questions/ae/db/450dd1bbcca5.json new file mode 100644 index 0000000000..a076952b04 --- /dev/null +++ b/data/questions/ae/db/450dd1bbcca5.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+4y-60=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-2],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/12/d7ff672d31e3.json b/data/questions/af/12/d7ff672d31e3.json new file mode 100644 index 0000000000..e1bbdf303b --- /dev/null +++ b/data/questions/af/12/d7ff672d31e3.json @@ -0,0 +1 @@ +{"content":"crwdns3144075:0{EF}crwdne3144075:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c8f046cec6f323cc499126bb0d52a1d4864e5cae","width":425},"correct":{"coords":[[-5,5],[2,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/15/0fc09d620307.json b/data/questions/af/15/0fc09d620307.json new file mode 100644 index 0000000000..d1c8b05390 --- /dev/null +++ b/data/questions/af/15/0fc09d620307.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=-2x^2-4x+6$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-1,8],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":8},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-3}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/15/ec3ca2b85fe3.json b/data/questions/af/15/ec3ca2b85fe3.json new file mode 100644 index 0000000000..84ba3bf7ed --- /dev/null +++ b/data/questions/af/15/ec3ca2b85fe3.json @@ -0,0 +1 @@ +{"content":"An engineer studying fuel usage collected data on the speed a car traveled (in kilometers per hour) and how much fuel it used (in liters per $100$ kilometers). \n \n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Speed (km/h)** | $10$ | $30$ | $50$ | $70$ | $90$ | $110$\n**Fuel used $($liters per $100\\,\\text{km})$** | $21$ | $10$ | $7$ | $6$ | $8$ |$9$\n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[10,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Speed}$","$\\text{Fuel used}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,120],[-2,22]],"gridStep":[10,1],"snapStep":[5,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[10,21],[30,10],[50,7],[70,6],[90,8],[110,9]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/1a/023d4276f3b2.json b/data/questions/af/1a/023d4276f3b2.json new file mode 100644 index 0000000000..7154231d1c --- /dev/null +++ b/data/questions/af/1a/023d4276f3b2.json @@ -0,0 +1 @@ +{"content":"Consider this number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/53b2a4225627f422983fa57766ca82a8c06fe7bd)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]] \n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/f324c87ca23fdee77861c6dd60ed53526a220aeb.png":{"height":230,"width":128},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53b2a4225627f422983fa57766ca82a8c06fe7bd":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 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diff --git a/data/questions/af/22/0b1631a6cbcc.json b/data/questions/af/22/0b1631a6cbcc.json new file mode 100644 index 0000000000..0eb30f6ec6 --- /dev/null +++ b/data/questions/af/22/0b1631a6cbcc.json @@ -0,0 +1 @@ +{"content":"crwdns3462798:0$ycrwdne3462798:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,6],[0,-3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/2e/634afb870d2c.json b/data/questions/af/2e/634afb870d2c.json new file mode 100644 index 0000000000..3c38f3d69c --- /dev/null +++ b/data/questions/af/2e/634afb870d2c.json @@ -0,0 +1 @@ +{"content":"crwdns4089708:0$7$crwdnd4089708:0{D}crwdnd4089708:0$x$crwdnd4089708:0{D}crwdne4089708:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/40ba06b85132f51ca306328309034d3ad9f1365a","width":425},"correct":{"coords":[[-4,-6],[-4,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/32/82fbcd2acfdb.json b/data/questions/af/32/82fbcd2acfdb.json new file mode 100644 index 0000000000..216e5a0e83 --- /dev/null +++ b/data/questions/af/32/82fbcd2acfdb.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-3)^2+(y+3)^2=36$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[3,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/43/80b2da83f86c.json b/data/questions/af/43/80b2da83f86c.json new file mode 100644 index 0000000000..fabf4d327f --- /dev/null +++ b/data/questions/af/43/80b2da83f86c.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to create a hexagon with vertices at the following points.** \n\n$(0, 4), (-6, 2), (-5, 0), (-3.5, -2), (-0.5, -1.5), (1, 1)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-6,2],[0,4],[1,1],[-0.5,-1.5],[-3.5,-2],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/af/43/da9db14274ee.json b/data/questions/af/43/da9db14274ee.json new file mode 100644 index 0000000000..61b6f0fce6 --- /dev/null +++ b/data/questions/af/43/da9db14274ee.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{7}(x -7)(x +7)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[0,7],[7,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/48/7075a381b427.json b/data/questions/af/48/7075a381b427.json new file mode 100644 index 0000000000..f84937a5f5 --- /dev/null +++ b/data/questions/af/48/7075a381b427.json @@ -0,0 +1 @@ +{"content":"crwdns6544098:0crwdne6544098:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f72f9bdc4e3cca3cf8b3cd3d6f699602b409c517","width":400},"correct":{"coords":[[-6,7],[-6,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/69/6ee14c2c02e3.json b/data/questions/af/69/6ee14c2c02e3.json new file mode 100644 index 0000000000..b476173dcd --- /dev/null +++ b/data/questions/af/69/6ee14c2c02e3.json @@ -0,0 +1 @@ +{"content":"**त्रिभुज $\\triangle ABC$ का प्रतिबिंब $y$-अक्ष पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a35c2a13ef3eec1ba77ab7d0f8af7f021e2e223","width":425},"correct":{"coords":[[6,2],[3,6],[3,4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/6f/6339b21e4ea5.json b/data/questions/af/6f/6339b21e4ea5.json new file mode 100644 index 0000000000..41b8e23c8c --- /dev/null +++ b/data/questions/af/6f/6339b21e4ea5.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +2x +4y -44=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-1,-2],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/75/2a3fc8db682f.json b/data/questions/af/75/2a3fc8db682f.json new file mode 100644 index 0000000000..463bd3cda5 --- /dev/null +++ b/data/questions/af/75/2a3fc8db682f.json @@ -0,0 +1 @@ +{"content":"crwdns3362753:0$ycrwdnd3362753:0$ycrwdnd3362753:0$fcrwdne3362753:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/79ce7889f7e0c20c8551a139d6fb63ce4f236031","width":400},"correct":{"coords":[[2,3],[-1,3],[3,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/79/ee0289ed11c6.json b/data/questions/af/79/ee0289ed11c6.json new file mode 100644 index 0000000000..4f9cb0ada9 --- /dev/null +++ b/data/questions/af/79/ee0289ed11c6.json @@ -0,0 +1 @@ +{"content":"crwdns3458198:0crwdne3458198:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/7c/ced2e7b6b470.json b/data/questions/af/7c/ced2e7b6b470.json new file mode 100644 index 0000000000..3fb02ac449 --- /dev/null +++ b/data/questions/af/7c/ced2e7b6b470.json @@ -0,0 +1 @@ +{"content":"**Construct a $45^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/5051a3681fa62ab6306c0042d753173603ce37f1.png":{"height":227,"width":381},"https://ka-perseus-images.s3.amazonaws.com/f71fe296cc2df5d63d0f15a62bf5144ec0a46ecf.png":{"height":215,"width":212}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-5.74176744014726,-3.258232559852739],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/89/7c016998052a.json b/data/questions/af/89/7c016998052a.json new file mode 100644 index 0000000000..64831b8824 --- /dev/null +++ b/data/questions/af/89/7c016998052a.json @@ -0,0 +1 @@ +{"content":"A group of biology students are interested in the effect of pH on enzyme activity. They measure the activity of enzymes A and B at various pH values and plot their data, as shown in the graph below.\n\n[[☃ image 1]]\n\n**A solution of enzyme B has a pH of $8$. Based on the graph, which pH change would result in higher enzyme activity?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[400,325],"backgroundImage":{"url":"https://ka-perseus-images.s3.amazonaws.com/01d138e3cf9df665fddb2d4787590ffc2b8bc481.png","width":400,"height":325},"labels":[],"alt":"The x axis on the line graph is labeled pH and has labels at 2,4,6,8,10, 12, and 14. The y axis is labeled enzyme activity. There are no marks on the y axis. There are 2 colored lines on the graph, with a key labeled A blue line and B red line. Line A begins at pH 2 and the origin of the y axis, rises sharply and peaks at pH 6, then declines sharply and returns to the y axis origin at pH 10. Line B begins at pH 6 and the origin of the y axis, rises sharply and peaks at pH 10, then declines sharply and returns to the y axis at pH 14. The peaks of Line A and Line B are at the same enzyme activity level.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"content":"decreasing the pH of the solution to $4$","correct":false,"clue":"According to the graph, enzyme B is inactive at pH $4$. So, decreasing the pH of the solution from $8$ to $4$ would *not* result in higher enzyme activity."},{"content":"decreasing the pH of the solution to $6$","correct":false,"clue":"According to the graph, enzyme B is *less*, not more, active at pH $6$ than at pH $8$. So, decreasing the pH of the solution from $8$ to $6$ would *not* result in higher enzyme activity."},{"content":"increasing the pH of the solution to $10$","correct":true,"clue":"According to the graph, enzyme B is more active at pH $10$ than at pH $8$. So, increasing the pH of the solution from $8$ to $10$ would result in higher enzyme activity. "},{"isNoneOfTheAbove":false,"content":"increasing the pH of the solution to $12$","clue":"According to the graph, enzyme B is slightly *less*, not more, active at pH $12$ than at pH $8$. So, increasing the pH of the solution from $8$ to $12$ would *not* result in higher enzyme activity.","correct":false}],"displayCount":null,"randomize":false,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/af/90/011c3153be01.json b/data/questions/af/90/011c3153be01.json new file mode 100644 index 0000000000..8bc24f4b84 --- /dev/null +++ b/data/questions/af/90/011c3153be01.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{OG}$ is rotated $180^\\circ$ about the point $(-2,4)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/567155d84afcfa01baf0a44afd994fce3df17b5c","width":425},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/96/fd8366e1762a.json b/data/questions/af/96/fd8366e1762a.json new file mode 100644 index 0000000000..5a82f8c8aa --- /dev/null +++ b/data/questions/af/96/fd8366e1762a.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-8$|$-5$|$0$|$7$|$0$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe70160792319482e4ccad557ff64244ece26433","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,-5]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/af/b6/afdc0139d1ab.json b/data/questions/af/b6/afdc0139d1ab.json new file mode 100644 index 0000000000..fa71018a33 --- /dev/null +++ b/data/questions/af/b6/afdc0139d1ab.json @@ -0,0 +1 @@ +{"content":"crwdns3318335:0$hcrwdnd3318335:0{1}crwdnd3318335:0{2}crwdnd3318335:0$fcrwdnd3318335:0{1}crwdnd3318335:0{2}crwdne3318335:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":null,"coords":[[0,-9],[2,-8]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54327f5e21dd498ed85911f5404d3c881ee1c036","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/d0/39c9b86bd8f7.json b/data/questions/af/d0/39c9b86bd8f7.json new file mode 100644 index 0000000000..f69f0b58c5 --- /dev/null +++ b/data/questions/af/d0/39c9b86bd8f7.json @@ -0,0 +1 @@ +{"content":"Equations $R_1$ and $R_2$ form a system. Our goal is to show that a second system ($R_1$ and $R_3$) form a system with the same solutions.\n\n$\\quad$$R_1$$~~~\\rightarrow~~~$$ x + y = 5$ \n$\\quad$$R_2$$~~~\\rightarrow~~~$$ x - y = 1$ \n$\\quad$$R_3$$~~~\\rightarrow~~~$$\\underline{\\begin{align}R_1\\\\+2\\cdot R_2\\end{align}}$ \n$~~~~~~~~~~~~~~~~~~~~$[[☃ expression 1]]\n\n**What is $R_3$? Write your equation in terms of $x$ and $y$.** \n\n\n**Graph $R_3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":""},"type":"expression","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/d3/61e2e8aa3fdb.json b/data/questions/af/d3/61e2e8aa3fdb.json new file mode 100644 index 0000000000..9504b481df --- /dev/null +++ b/data/questions/af/d3/61e2e8aa3fdb.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+y^2=81$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-1,0],"radius":9}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/d5/af2c91850006.json b/data/questions/af/d5/af2c91850006.json new file mode 100644 index 0000000000..76346c7d33 --- /dev/null +++ b/data/questions/af/d5/af2c91850006.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-8,8)$, and the upper-right coordinates are $(-3,8)$. The rectangle has an area of $15$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-3,5],[-3,8],[-8,8],[-8,5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/d7/7745241b54fc.json b/data/questions/af/d7/7745241b54fc.json new file mode 100644 index 0000000000..654ad2ac5c --- /dev/null +++ b/data/questions/af/d7/7745241b54fc.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-6,1)$ and has a slope of $5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-6,1],[-5,6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/dc/e148785d708c.json b/data/questions/af/dc/e148785d708c.json new file mode 100644 index 0000000000..c32849d3d2 --- /dev/null +++ b/data/questions/af/dc/e148785d708c.json @@ -0,0 +1 @@ +{"content":"Kyle looks at a map of his castle and frowns.\n\n(show smallish map on a grid with a certain scale)\n\n\"This map is too small!\" Kyle complains. \"You there! Peasant, draw me a bigger map!\"\n\n**Move the points to create a bigger map of Kyle's castle on the grid below.**\n\n(adjust the grid below to show a scale that's 2, 3, 4, or 5 times larger than the scale in the grid above)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/e6/56bc86586123.json b/data/questions/af/e6/56bc86586123.json new file mode 100644 index 0000000000..bdd22753de --- /dev/null +++ b/data/questions/af/e6/56bc86586123.json @@ -0,0 +1 @@ +{"content":"The ordered pair $(a, b)$ gives the location of point $P$ on the coordinate plane. The value of $a$ is $0$, but $b$ is not zero. \n\n**Where could point $P$ be located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["Quadrant I","Quadrant II","Quadrant III","Quadrant IV","$x$-axis","$y$-axis"],"items":["$(2,4.5)$","$(0,-3)$","$(7, -\\dfrac12)$"],"randomizeItems":false,"values":[0,5,3]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-12e77f","options":{"color":"black","coordX":"0","coordY":"0"},"type":"point"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":false},{"content":"Quadrant IV","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/e8/009650be9e10.json b/data/questions/af/e8/009650be9e10.json new file mode 100644 index 0000000000..60a5ec79e4 --- /dev/null +++ b/data/questions/af/e8/009650be9e10.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+2)^2+(y+1)^2=49$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,-1],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/ec/b06a9df03eed.json b/data/questions/af/ec/b06a9df03eed.json new file mode 100644 index 0000000000..2838931919 --- /dev/null +++ b/data/questions/af/ec/b06a9df03eed.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{1}{3}x^2-2x+8$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[3,5],[0,8]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/ed/2f87e5d5b383.json b/data/questions/af/ed/2f87e5d5b383.json new file mode 100644 index 0000000000..e0d8c1aecd --- /dev/null +++ b/data/questions/af/ed/2f87e5d5b383.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-1|+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[1,5],[0,6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/af/f7/7bf24f30d76d.json b/data/questions/af/f7/7bf24f30d76d.json new file mode 100644 index 0000000000..6eff8b2585 --- /dev/null +++ b/data/questions/af/f7/7bf24f30d76d.json @@ -0,0 +1 @@ +{"content":"crwdns3898364:0$ycrwdnd3898364:0{1}crwdnd3898364:0{4}crwdne3898364:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,6],[4,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/04/03fe5d783a74.json b/data/questions/b0/04/03fe5d783a74.json new file mode 100644 index 0000000000..13f5821dd8 --- /dev/null +++ b/data/questions/b0/04/03fe5d783a74.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $y=\\dfrac{4}{7}(x)(x-7)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the equation.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3.5,-7],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-7}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/06/25859c9025cd.json b/data/questions/b0/06/25859c9025cd.json new file mode 100644 index 0000000000..967f9e2491 --- /dev/null +++ b/data/questions/b0/06/25859c9025cd.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bf508f2ea0530b3f4821c9e9f4fa74db09bd4e12","width":425},"correct":{"coords":[[2,2],[-5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/0a/4cd08dd04051.json b/data/questions/b0/0a/4cd08dd04051.json new file mode 100644 index 0000000000..a2c83ca5fd --- /dev/null +++ b/data/questions/b0/0a/4cd08dd04051.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $3$ units from Point $\\blueD{A}$ and also share the same $x$-coordinate as Point $\\blueD{A}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a2ca46b810623b189774509248ad4a21c8bc476","width":425},"correct":{"coords":[[5,3],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/14/3e70c0836f7b.json b/data/questions/b0/14/3e70c0836f7b.json new file mode 100644 index 0000000000..644662ca61 --- /dev/null +++ b/data/questions/b0/14/3e70c0836f7b.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/7f36fb700b82514620be8b8e49bf3fb4637c9ac1.png","width":400},"correct":{"coords":[[-1,3],[8,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1.5,8.5],[-2,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/16/47a393f642bb.json b/data/questions/b0/16/47a393f642bb.json new file mode 100644 index 0000000000..b259c38f5a --- /dev/null +++ b/data/questions/b0/16/47a393f642bb.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{10} \\left( \\cos(162 \\degree) + i\\sin(162 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[-3,1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/17/33fb14d36796.json b/data/questions/b0/17/33fb14d36796.json new file mode 100644 index 0000000000..4d01119134 --- /dev/null +++ b/data/questions/b0/17/33fb14d36796.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with side lengths $5$, $6$, and $5$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[9.328175755133499,5.084877490321435],[6.233235610657484,9.011879591429963],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/27/b6fa7c7d6c45.json b/data/questions/b0/27/b6fa7c7d6c45.json new file mode 100644 index 0000000000..492d20d701 --- /dev/null +++ b/data/questions/b0/27/b6fa7c7d6c45.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-(x+6)^2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,0],[-5,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ḟ(ẍẋ)"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/31/8ab0f7a7d259.json b/data/questions/b0/31/8ab0f7a7d259.json new file mode 100644 index 0000000000..b8becd8e30 --- /dev/null +++ b/data/questions/b0/31/8ab0f7a7d259.json @@ -0,0 +1 @@ +{"content":"Frank is golfing. The table below shows his scores relative to par for each of the first three holes. \n\nHole | Score relative to par\n:-:|:-: \nOne | $-2$\nTwo | $-3$\nThree | $+1$\n\n\n**What is Frank's total score relative to par for the first three holes?**\n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":-4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false},"version":{"major":0,"minor":0}},"table 1":{"type":"table","graded":true,"options":{"headers":[""],"rows":4,"columns":1,"answers":[[""],[""],[""],[""]]},"version":{"major":0,"minor":0}},"sorter 1":{"type":"sorter","graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"version":{"major":0,"minor":0}},"simulator 1":{"type":"simulator","graded":true,"options":{"xAxisLabel":"Proportion (%)","yAxisLabel":"Number of times 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1":{"type":"image","graded":true,"options":{"title":"","range":[[0,10],[0,10]],"box":[0,0],"backgroundImage":{"url":null,"width":0,"height":0},"labels":[],"caption":""},"version":{"major":0,"minor":0}},"matrix 1":{"type":"matrix","graded":true,"options":{"matrixBoardSize":[3,3],"answers":[[]],"prefix":"","suffix":"","cursorPosition":[0,0]},"version":{"major":0,"minor":0}},"dropdown 1":{"type":"dropdown","graded":true,"options":{"placeholder":"","choices":[{"content":"","correct":false}]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/38/8a4d5f7c6f74.json b/data/questions/b0/38/8a4d5f7c6f74.json new file mode 100644 index 0000000000..78e279402d --- /dev/null +++ b/data/questions/b0/38/8a4d5f7c6f74.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $5$ units to the left and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/87c224f2c1a92956c8569cba054388029f37249b","width":425},"correct":{"coords":[[-2,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/4b/8c79eda00640.json b/data/questions/b0/4b/8c79eda00640.json new file mode 100644 index 0000000000..d1af41bb2d --- /dev/null +++ b/data/questions/b0/4b/8c79eda00640.json @@ -0,0 +1 @@ +{"content":"crwdns3380941:0crwdne3380941:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,1],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/64/4c519215a49a.json b/data/questions/b0/64/4c519215a49a.json new file mode 100644 index 0000000000..f2e7094bb4 --- /dev/null +++ b/data/questions/b0/64/4c519215a49a.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(0,5)$ and $(-8,0)$, and a side measuring $10$ units on the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[-8,0],[0,-5]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/72/c2ec649d529f.json b/data/questions/b0/72/c2ec649d529f.json new file mode 100644 index 0000000000..d62b8d38a2 --- /dev/null +++ b/data/questions/b0/72/c2ec649d529f.json @@ -0,0 +1 @@ +{"content":"Sophie opens a new restaurant. The function $f$ models the restaurant's net worth (in thousands of dollars) as a function of time (in months) after Sophie opens it.\n\n**Plot the point on the graph of $f$ that corresponds to the restaurant's minimum net worth.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/90b18cd390182577b25e3026c492afbfc3ca2f92","width":400},"correct":{"coords":[[2,-12]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,4],"labels":["x","y"],"markings":"none","range":[[-3,9],[-16,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,4]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/74/9d00361075b2.json b/data/questions/b0/74/9d00361075b2.json new file mode 100644 index 0000000000..75e647b49d --- /dev/null +++ b/data/questions/b0/74/9d00361075b2.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{4}(x -2)(x +6)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-2,4],[2,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/7c/03acda786111.json b/data/questions/b0/7c/03acda786111.json new file mode 100644 index 0000000000..ee8dba8cd6 --- /dev/null +++ b/data/questions/b0/7c/03acda786111.json @@ -0,0 +1 @@ +{"content":"crwdns6420649:0$ycrwdne6420649:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/87/f5f5b5391c41.json b/data/questions/b0/87/f5f5b5391c41.json new file mode 100644 index 0000000000..f89e81fa55 --- /dev/null +++ b/data/questions/b0/87/f5f5b5391c41.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 6+6i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[6,6]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/9d/cd72185b5cc5.json b/data/questions/b0/9d/cd72185b5cc5.json new file mode 100644 index 0000000000..1f21769fda --- /dev/null +++ b/data/questions/b0/9d/cd72185b5cc5.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a reflection across line $m$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/943f9f2f82126cf9a07fbe21d7069a3363553e6e","width":400},"correct":{"coords":[[0,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/ab/e0bbb7b1ee0b.json b/data/questions/b0/ab/e0bbb7b1ee0b.json new file mode 100644 index 0000000000..3bf174d1e8 --- /dev/null +++ b/data/questions/b0/ab/e0bbb7b1ee0b.json @@ -0,0 +1 @@ +{"content":"The table uses the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $3$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $6$ \n$6$ | $12$ \n$9$ | [[☃ numeric-input 1]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"numeric-input 1":{"options":{"static":false,"answers":[{"value":18,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","rightAlign":false},"type":"numeric-input","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":12,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":9,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 4":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":18,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,20],[-2,20]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[3,6],[6,12],[9,18]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b0/bc/a400924c9bbc.json b/data/questions/b0/bc/a400924c9bbc.json new file mode 100644 index 0000000000..da083efd2c --- /dev/null +++ b/data/questions/b0/bc/a400924c9bbc.json @@ -0,0 +1 @@ +{"content":"Mr. Ledger buys a box of $24$ donuts for a lesson in his math class about circumference. \n\n**Write an equation for the number of donuts $y$ that are left at the end of the day when $x$ donuts are used during the lesson.**\n\n[[☃ expression 1]]\n\nLast year, Mr. Ledger used $18$ donuts during the lesson. This year, he used $22$ donuts. \n\n**Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.** \n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=24-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 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+{"content":"crwdns3225388:0:-:crwdnd3225388:0:-:crwdnd3225388:0:-:crwdnd3225388:0:-:crwdnd3225388:0$100$crwdnd3225388:0$200$crwdnd3225388:0$400$crwdnd3225388:0{GB}crwdnd3225388:0$0.5$crwdnd3225388:0$1$crwdnd3225388:0$2$crwdne3225388:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0.5,100],[1,200],[2,400]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,50],"labels":["crwdns5287457:0{Storage}crwdne5287457:0","crwdns5287456:0{Songs}crwdne5287456:0"],"markings":"graph","range":[[-0.5,4.5],[-40,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,25],"step":[0.5,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2693864:0crwdne2693864:0","correct":true},{"content":"crwdns2693863:0crwdne2693863:0","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/b1/9c/b9270cfe34e4.json b/data/questions/b1/9c/b9270cfe34e4.json new file mode 100644 index 0000000000..35408bd053 --- /dev/null +++ b/data/questions/b1/9c/b9270cfe34e4.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\log_3(1-x)+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[1,-10],[1,10]],"coords":[[0,6],[-8,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b1/9d/55b99bf2cb71.json b/data/questions/b1/9d/55b99bf2cb71.json new file mode 100644 index 0000000000..507ba589c3 --- /dev/null +++ b/data/questions/b1/9d/55b99bf2cb71.json @@ -0,0 +1 @@ +{"content":"Samir is a huge fan of the University of Virginia men's basketball team. He notices that the team tends to score more points when more fans attend the games. Samir has recorded various point totals and attendance totals, and he's come up with the model $y =0.005x+30$ to represent the number of points scored by UVA as a function of the number of fans at the game. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Fans** |$4{,}000$ | $6{,}000$| $8{,}000$ | $10{,}000$ | $12{,}000$|$14{,}000$\n**Residual value** | $-8$ | $-10$| $-8$ | $-10$| $-10$|$-12$| \n**Points scored** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":42},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":50},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":62},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":70},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":80},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":88},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[4000,42],[6000,50],[8000,62],[10000,70],[12000,80],[14000,88]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1000,4],"labels":["x","y"],"markings":"graph","range":[[-1000,15000],[-5,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[500,2],"step":[2000,20]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":false},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":false},{"content":"Decrease the y-intercept of the line.","correct":true},{"content":"None of the above - the model is a good fit for the data.","correct":false}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/b1/a1/b4d8782a3205.json b/data/questions/b1/a1/b4d8782a3205.json new file mode 100644 index 0000000000..bfd10a812d --- /dev/null +++ b/data/questions/b1/a1/b4d8782a3205.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9bd9dedf033e1aefcaaf191df17fcf9e237165fc","width":430},"correct":{"coords":[[-4,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b1/a2/81ad03783f55.json b/data/questions/b1/a2/81ad03783f55.json new file mode 100644 index 0000000000..45554dd688 --- /dev/null +++ b/data/questions/b1/a2/81ad03783f55.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb9e6939086d4aad4fff70e6878fa43be30e40e0","width":430},"correct":{"coords":[[7,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b1/af/e49a08a0368e.json b/data/questions/b1/af/e49a08a0368e.json new file mode 100644 index 0000000000..874c0ab482 --- /dev/null +++ b/data/questions/b1/af/e49a08a0368e.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nMandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n| | |\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,10],[2,20],[3,30]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["$\\text{Hours}$","$\\text{Earnings}$"],"markings":"graph","range":[[-1,6.5],[-1,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/b1/ba/999756d4d50f.json b/data/questions/b1/ba/999756d4d50f.json new file mode 100644 index 0000000000..e95b1f515d --- /dev/null +++ b/data/questions/b1/ba/999756d4d50f.json @@ -0,0 +1 @@ +{"content":"You are a software engineer. You want to create a large scale drawing of a processor inside a cell phone. The processor is a rectangular chip with side lengths $9.5\\text{ mm}$ and $7.5\\text{ mm}$.\n\n**Create a scale drawing of the processor using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[14,3.5],[14,13],[6.5,13],[6.5,3.5]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["□","□"],"markings":"grid","range":[[-1,20],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b1/c0/6642cc74934b.json b/data/questions/b1/c0/6642cc74934b.json new file mode 100644 index 0000000000..ccb8716855 --- /dev/null +++ b/data/questions/b1/c0/6642cc74934b.json @@ -0,0 +1 @@ +{"content":"crwdns4128067:0$C$crwdnd4128067:0{1}crwdnd4128067:0{5}crwdne4128067:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a4acd095a715ec676b04c3c289a1a4199db75dbc","width":425},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b1/ea/3e967b1929ce.json b/data/questions/b1/ea/3e967b1929ce.json new file mode 100644 index 0000000000..a71b41ae89 --- /dev/null +++ b/data/questions/b1/ea/3e967b1929ce.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(1,-5)$ and $(9,1)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1c05a41bc1c91045be8a880a413b971163188437","width":425},"correct":{"coords":[[[1,9],[-5,1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b1/ec/fdb4dcd0331c.json b/data/questions/b1/ec/fdb4dcd0331c.json new file mode 100644 index 0000000000..ae3e34ab86 --- /dev/null +++ b/data/questions/b1/ec/fdb4dcd0331c.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about point $P$ with a scale factor of $3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d6bd4dbd0c20817fe60236b21c513802403a48a1","width":400},"correct":{"coords":[[-2,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/08/e5da3955b12d.json b/data/questions/b2/08/e5da3955b12d.json new file mode 100644 index 0000000000..6e534b2906 --- /dev/null +++ b/data/questions/b2/08/e5da3955b12d.json @@ -0,0 +1 @@ +{"content":"Your friend describes to you the graph of a linear function over the phone. She says the $y$-intercept of the graph is equal to $6$ and the slope of the graph is equal to $-2$.\n\n**Draw the graph of this function.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,6],[3,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/0b/0c4dfc8862a1.json b/data/questions/b2/0b/0c4dfc8862a1.json new file mode 100644 index 0000000000..30588b9170 --- /dev/null +++ b/data/questions/b2/0b/0c4dfc8862a1.json @@ -0,0 +1 @@ +{"content":"crwdns3022016:0$10$crwdnd3022016:0$15$crwdne3022016:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/18d857eaaa09dc318ed351ff7cbe734bfe18c724","width":400},"correct":{"coords":[[5,10],[10,2.5],[5,2.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,11.5],[-1,11.5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/17/88ccba86fc5f.json b/data/questions/b2/17/88ccba86fc5f.json new file mode 100644 index 0000000000..1948c7c8d4 --- /dev/null +++ b/data/questions/b2/17/88ccba86fc5f.json @@ -0,0 +1 @@ +{"content":"**Graph $-14x+21y=84$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-6,0],[0,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/21/81adb20aea71.json b/data/questions/b2/21/81adb20aea71.json new file mode 100644 index 0000000000..04449310dd --- /dev/null +++ b/data/questions/b2/21/81adb20aea71.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/155c8c3d0dfd2b6e6c32eae89f0452b5cd851c09","width":400},"correct":{"coords":[[[4,-1],[5,6]],[[4,-1],[-1,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/26/26a72d019f80.json b/data/questions/b2/26/26a72d019f80.json new file mode 100644 index 0000000000..3dc5af4128 --- /dev/null +++ b/data/questions/b2/26/26a72d019f80.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+7)^2+(y-5)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-7,5],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/27/01aed50af441.json b/data/questions/b2/27/01aed50af441.json new file mode 100644 index 0000000000..77465714d5 --- /dev/null +++ b/data/questions/b2/27/01aed50af441.json @@ -0,0 +1 @@ +{"content":"Chris examines a salt crystal under his microscope. He finds that it is a cube with each side length $6$ millimeters.\n\n**Draw one square face of the crystal on the grid below.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8fff66349d616c802314eb90a7c5b39aaef5aa12.png","width":400},"correct":{"coords":[[1,-1],[1,7],[-7,7],[-7,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/2d/ff9ca76b8293.json b/data/questions/b2/2d/ff9ca76b8293.json new file mode 100644 index 0000000000..ce690b1754 --- /dev/null +++ b/data/questions/b2/2d/ff9ca76b8293.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(3,-3)$, and the upper-right coordinates are $(7,-3)$. The rectangle has an area of $16$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[7,-7],[7,-3],[3,-3],[3,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/3a/974383e35df4.json b/data/questions/b2/3a/974383e35df4.json new file mode 100644 index 0000000000..716a718ac8 --- /dev/null +++ b/data/questions/b2/3a/974383e35df4.json @@ -0,0 +1 @@ +{"content":"crwdns3474918:0crwdne3474918:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/4e/281da088667d.json b/data/questions/b2/4e/281da088667d.json new file mode 100644 index 0000000000..835aae273e --- /dev/null +++ b/data/questions/b2/4e/281da088667d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+6x-10y+18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,5],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/57/880903493aec.json b/data/questions/b2/57/880903493aec.json new file mode 100644 index 0000000000..dbd5a4441e --- /dev/null +++ b/data/questions/b2/57/880903493aec.json @@ -0,0 +1 @@ +{"content":"Keith is saving money for a car. He has saved the same amount each year for the past three years, and records how much he has at the end of each year in the table below.\n\n |Year $1$|Year $2$|Year $3$\n-:|-:|-:|-:\nTotal amount saved |$\\$1500$|$\\$3000$|$\\$4500$\n\n**What is Keith's *unit rate* of change of dollars with respect to time; that is, how much does Keith save in *one* year? **\n\nThe unit rate is [[☃ input-number 1]] dollars per year.\n\n\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing years, and the $y$-coordinate representing amount saved in thousands of dollars.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1500"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-1,5],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/5c/eb45bec0232c.json b/data/questions/b2/5c/eb45bec0232c.json new file mode 100644 index 0000000000..4097fab50b --- /dev/null +++ b/data/questions/b2/5c/eb45bec0232c.json @@ -0,0 +1 @@ +{"content":"Tygo loves to eat popsicles in the summer. His mom buys popsicles in boxes that have $6$ popsicles per box, and let's Tygo eat them all! In the graph below, $b$ is the number of boxes of popsicles Tygo's mom buys, and $p$ is the number of popsicles Tygo gets to eat.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$p=6b$\n\n**Plot points on the graph that show the number of popsicles Tygo gets to eat if his mom buys $2$ or $5$ boxes.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["\\text{Boxes}","\\text{Popsicles}"],"markings":"graph","range":[[-1,10],[-5,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/65/ecd92715f8fe.json b/data/questions/b2/65/ecd92715f8fe.json new file mode 100644 index 0000000000..6766517687 --- /dev/null +++ b/data/questions/b2/65/ecd92715f8fe.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/71/75f9debd9d60.json b/data/questions/b2/71/75f9debd9d60.json new file mode 100644 index 0000000000..d0d2428268 --- /dev/null +++ b/data/questions/b2/71/75f9debd9d60.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e8901a77c39d9c986e6cf364a7dab1fc7732568c","width":400},"correct":{"coords":[[6,4],[7,6],[5,5],[6,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/78/6a291e9a2083.json b/data/questions/b2/78/6a291e9a2083.json new file mode 100644 index 0000000000..4bf3884aaa --- /dev/null +++ b/data/questions/b2/78/6a291e9a2083.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the triangle by connecting two black points.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/46be7128c3d241e2f393a4d9c8e50744d0fbbf31.png","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,6],[-2,6]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1,-1],[5,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/97/0fff44a8bbb3.json b/data/questions/b2/97/0fff44a8bbb3.json new file mode 100644 index 0000000000..15a277a4f3 --- /dev/null +++ b/data/questions/b2/97/0fff44a8bbb3.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2(x+4)(x)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-8],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/9a/3739a1e3dc76.json b/data/questions/b2/9a/3739a1e3dc76.json new file mode 100644 index 0000000000..1c6c67997b --- /dev/null +++ b/data/questions/b2/9a/3739a1e3dc76.json @@ -0,0 +1 @@ +{"content":"**Match the lower graph to the point marked on the upper one.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"none"},"graph":{"type":"none"},"labels":["x","y"],"lockedFigures":[{"color":"blue","coord":[2,-5],"filled":true,"labels":[],"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[2,-5]],"focusedPointIndex":null,"hasBeenInteractedWith":true,"numPoints":1,"range":[[-10,10],[-10,10]],"showRemovePointButton":false,"snapStep":[0.5,0.5],"type":"point"},"graph":{"numPoints":1,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/9d/3eedfadfc03e.json b/data/questions/b2/9d/3eedfadfc03e.json new file mode 100644 index 0000000000..ad63cc5508 --- /dev/null +++ b/data/questions/b2/9d/3eedfadfc03e.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $JKLM$ is rotated $-270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/632e2dbc6bb670212c818ad5913cee890920c504","width":425},"correct":{"coords":[[7,-3],[5,5],[-3,3],[3,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/ab/7b6bbe6ca6af.json b/data/questions/b2/ab/7b6bbe6ca6af.json new file mode 100644 index 0000000000..819984e243 --- /dev/null +++ b/data/questions/b2/ab/7b6bbe6ca6af.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $PONY$ is rotated $180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3aca0ff794b24ec83d27fd8c58b389ba09f6916f","width":425},"correct":{"coords":[[2,-7],[5,-6],[6,-3],[2,-3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/ac/22dd48ad3c9e.json b/data/questions/b2/ac/22dd48ad3c9e.json new file mode 100644 index 0000000000..29def6e31a --- /dev/null +++ b/data/questions/b2/ac/22dd48ad3c9e.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\log_3(1-x)+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[1,-10],[1,10]],"coords":[[0,6],[-8,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/b9/35eaad620f2b.json b/data/questions/b2/b9/35eaad620f2b.json new file mode 100644 index 0000000000..9a92167ea7 --- /dev/null +++ b/data/questions/b2/b9/35eaad620f2b.json @@ -0,0 +1 @@ +{"content":"Lindsay catches a fish. She then measures the fish and finds its length to be $\\dfrac{1}{5}$ of her own height. Lindsay is $150\\text{ cm}$ tall.\n\n**Move the points on the grid below to create a segment representing the length of Lindsay's fish.**\n\n(show a scale on the grid below that's 3 grid spaces to 10 cm)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/c3/c257d664523b.json b/data/questions/b2/c3/c257d664523b.json new file mode 100644 index 0000000000..50787bf9ea --- /dev/null +++ b/data/questions/b2/c3/c257d664523b.json @@ -0,0 +1 @@ +{"content":"Nick has been doing pushups and then measuring the size of his bicep afterwards. His data are shown in the table below. Suppose he uses the line $y = x + 245$ to model his bicep size as a function of pushups.\n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n****Would an exponential or quadratic model be a better fit for the data?**** [[☃ dropdown 1]] \n\n | | | || ||\n- | - | -\n**Pushups** |$0$ | $10$| $20$ | $30$ | $40$|$50$\n**Size of bicep (cm)** | $246$ | $253$| $268$ | $274$| $288$|$293$\n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-2},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-1},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-2},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[50,-2],[40,3],[30,-1],[0,1],[10,-2],[20,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["x","y"],"markings":"graph","range":[[-8,60],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.5],"step":[5,1]},"type":"interactive-graph"}}} diff --git a/data/questions/b2/c4/6bb13a3ccbcb.json b/data/questions/b2/c4/6bb13a3ccbcb.json new file mode 100644 index 0000000000..0b11973d55 --- /dev/null +++ b/data/questions/b2/c4/6bb13a3ccbcb.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2b614d8edb8dd56b81b5e2e174f0d77dad9e18b5","width":425},"correct":{"coords":[[5,-6],[-3,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/c5/13f3469f8081.json b/data/questions/b2/c5/13f3469f8081.json new file mode 100644 index 0000000000..311b6edc4d --- /dev/null +++ b/data/questions/b2/c5/13f3469f8081.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-4(x -3)(x -1)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,4],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/cc/3a631bd8a9cb.json b/data/questions/b2/cc/3a631bd8a9cb.json new file mode 100644 index 0000000000..99f06186f1 --- /dev/null +++ b/data/questions/b2/cc/3a631bd8a9cb.json @@ -0,0 +1 @@ +{"content":"###Prod Example: Test correct and incorrect###\n\n**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n--Need to add the matrix?--\n\nCorrect Answer: (-10, 5) (2, 1) (-2, 9)\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-11,11],[-11,11]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,4],"color":"grayH","filled":true},{"type":"point","coord":[1,4],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true},{"type":"line","kind":"segment","points":[{"type":"point","coord":[1,4],"color":"grayH","filled":true},{"type":"point","coord":[1,0],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true},{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,4],"color":"grayH","filled":true},{"type":"point","coord":[1,0],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}],"graph":{"type":"polygon","showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","hasBeenInteractedWith":true,"range":[[-11,11],[-11,11]],"snapStep":[0.5,0.5],"showAngles":false,"showSides":false,"coords":[[-10,5],[2,1],[-2,9]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/cc/f618eaeffb07.json b/data/questions/b2/cc/f618eaeffb07.json new file mode 100644 index 0000000000..53015b97f9 --- /dev/null +++ b/data/questions/b2/cc/f618eaeffb07.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{34} \\left( \\cos(329 \\degree) + i\\sin(329 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[5,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/d8/a450439fb308.json b/data/questions/b2/d8/a450439fb308.json new file mode 100644 index 0000000000..25541ca955 --- /dev/null +++ b/data/questions/b2/d8/a450439fb308.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = \\dfrac{2}{3}f(x)+7$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-3,5],[3,9]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,-3],"color":"grayH","filled":true},{"type":"point","coord":[3,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/e2/af7fcbca2c95.json b/data/questions/b2/e2/af7fcbca2c95.json new file mode 100644 index 0000000000..203b460234 --- /dev/null +++ b/data/questions/b2/e2/af7fcbca2c95.json @@ -0,0 +1 @@ +{"content":"crwdns4116751:0$TEAM$crwdne4116751:0","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd7758202a4c57c755f3a2af54bb2826939a745b","width":425},"correct":{"coords":[[2,-3],[-2,-4],[-3,2],[-6,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/e7/64886a018fa0.json b/data/questions/b2/e7/64886a018fa0.json new file mode 100644 index 0000000000..59c2a0adb0 --- /dev/null +++ b/data/questions/b2/e7/64886a018fa0.json @@ -0,0 +1 @@ +{"content":"The following tape diagram describes the relationship between the amount of red paint and the amount of blue paint in a \"Plummy Purple\" paint mix. \n \n![](https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png)\n\n\n**Fill in the table with the missing values.** \n \nRed paint cans | Blue paint cans\n:-: | :-:\n$4$ | [[☃ input-number 1]]\n[[☃ input-number 2]] | $6$ \n \n**Now graph the points listed in the table.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the amount of red paint and the amount of blue paint in a Plummy Purple paint mix proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png":{"height":160,"width":408}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":451,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/2dd935e55b1b523fd430b684d523a41b86230b8d.png","width":451},"correct":{"coords":[[80,60],[40,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/e8/76c80a217323.json b/data/questions/b2/e8/76c80a217323.json new file mode 100644 index 0000000000..07838de4df --- /dev/null +++ b/data/questions/b2/e8/76c80a217323.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-2\\cdot 3^x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/ea/9726d29ad99a.json b/data/questions/b2/ea/9726d29ad99a.json new file mode 100644 index 0000000000..1111602e1d --- /dev/null +++ b/data/questions/b2/ea/9726d29ad99a.json @@ -0,0 +1 @@ +{"content":"Dudley wants to get in shape. He plans to burn $2000$ calories every week using a combination of the elliptical and the bike machine. The elliptical burns $500$ calories per hour, and the bike machine burns $400$ calories per hour. \n\n**Write an *inequality* that represents the number of hours Dudley must spend on the elliptical $(E)$ and on the bike machine $(B)$ in a week to burn at least $2000$ calories.** \n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $E$ on the horizontal axis and $B$ on the vertical axis.** \n\n[[☃ interactive-graph 1]]\n\n**If Dudley spends $2$ hours on the bike machine $(B)$, which of the following are numbers of hours he can spend on the elliptical trainer $(E)$ to meet or exceed his fitness goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"500E+400B>=2000","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":[],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["E","B"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,7],[-0.5,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,5],[4,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$1.5$","correct":false},{"content":"$2$","correct":false},{"content":"$2.5$","correct":true},{"content":"$3$ ","correct":true},{"content":"$3.5$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/eb/a5dc76841b94.json b/data/questions/b2/eb/a5dc76841b94.json new file mode 100644 index 0000000000..4869f721a9 --- /dev/null +++ b/data/questions/b2/eb/a5dc76841b94.json @@ -0,0 +1 @@ +{"content":"Jose recorded the number of sick days he took and the number of T-shirts he owned over several years.\n\n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:| --:\n**Sick days** | $6$ | $7.5$ | $0.5$ | $3$ | $4$ | $9.5$\n**T-shirts** | $6$ | $7$ | $7$ | $7$ | $5$ | $6$\n \n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["$\\text{Sick days}$","$\\text{T-shirts}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,11],[-1,11]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[6,6],[7.5,7],[0.5,7],[3,7],[4,5],[9.5,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b2/f0/b887decc1395.json b/data/questions/b2/f0/b887decc1395.json new file mode 100644 index 0000000000..90ba8cb7cd --- /dev/null +++ b/data/questions/b2/f0/b887decc1395.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(2,0)$ and has a radius of $2.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,0],"radius":2.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/0f/3b71ae8276d5.json b/data/questions/b3/0f/3b71ae8276d5.json new file mode 100644 index 0000000000..3bfb7699f1 --- /dev/null +++ b/data/questions/b3/0f/3b71ae8276d5.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $6$ units from Point $\\blueD{B}$ and also share the same $y$-coordinate as Point $\\blueD{B}$.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/faaca03688aa5060cb8b942bc569487278b5ddd5","width":425},"correct":{"coords":[[7,3],[-5,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/20/99055b72b865.json b/data/questions/b3/20/99055b72b865.json new file mode 100644 index 0000000000..7838b1d2cd --- /dev/null +++ b/data/questions/b3/20/99055b72b865.json @@ -0,0 +1 @@ +{"content":"crwdns2988120:0crwdne2988120:0","images":{"https://ka-perseus-images.s3.amazonaws.com/36556ac30ed00e053410c3a75f6c42314f4f348c.png":{"height":320,"width":378},"https://ka-perseus-images.s3.amazonaws.com/e06103f19a0a4526495cf02ee2c4216c91c57f78.png":{"height":163,"width":265}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[3.4209731939959758,0.39904660306349626],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/2b/1d589262c25d.json b/data/questions/b3/2b/1d589262c25d.json new file mode 100644 index 0000000000..4a91f8ddfb --- /dev/null +++ b/data/questions/b3/2b/1d589262c25d.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-8$|$-5$|$0$|$7$|$0$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe70160792319482e4ccad557ff64244ece26433","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,-5]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/b3/4f/4e8a690ca9d7.json b/data/questions/b3/4f/4e8a690ca9d7.json new file mode 100644 index 0000000000..67b9147f60 --- /dev/null +++ b/data/questions/b3/4f/4e8a690ca9d7.json @@ -0,0 +1 @@ +{"content":"We want to solve the following system of equations:\n\n$\\begin{cases}\ny=x-2\n\\\\\\\\\ny=(x-1)^2-3\n\\end{cases}$\n\nThe line given by $y=x-2$ is graphed.\n\n**1) Draw the parabola given by $y=(x-1)^2-3$ in the interactive graph.**\n\n[[☃ grapher 1]]\n\n**2) Select all solutions to the system.**\n\n[[☃ radio 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-3],[2,-2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7c1b802587c7400ce91c151673144c0f3590499d","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(0,-2)$","correct":true},{"content":"$(1,-1)$","isNoneOfTheAbove":false},{"content":"$(2,0)$","isNoneOfTheAbove":false},{"content":"$(3,1)$","correct":true,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/b3/59/0d1742d0610d.json b/data/questions/b3/59/0d1742d0610d.json new file mode 100644 index 0000000000..8574a1438f --- /dev/null +++ b/data/questions/b3/59/0d1742d0610d.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-4\\cos\\left(x\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[1,3],[0,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/5d/9662a54d3114.json b/data/questions/b3/5d/9662a54d3114.json new file mode 100644 index 0000000000..8641a2fa13 --- /dev/null +++ b/data/questions/b3/5d/9662a54d3114.json @@ -0,0 +1 @@ +{"content":"**Graph $3x-4y=24$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,-6],[8,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/84/856917c2a7c3.json b/data/questions/b3/84/856917c2a7c3.json new file mode 100644 index 0000000000..283f186a23 --- /dev/null +++ b/data/questions/b3/84/856917c2a7c3.json @@ -0,0 +1 @@ +{"content":"crwdns3462883:0$ycrwdne3462883:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-1],[-3,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/85/20c6d838ce84.json b/data/questions/b3/85/20c6d838ce84.json new file mode 100644 index 0000000000..e06fa4c2e8 --- /dev/null +++ b/data/questions/b3/85/20c6d838ce84.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(4,4)$ and has a radius of $3$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[4,4],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/88/09af7574fdce.json b/data/questions/b3/88/09af7574fdce.json new file mode 100644 index 0000000000..fc2a10aec0 --- /dev/null +++ b/data/questions/b3/88/09af7574fdce.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $0$. Then add $7$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$3$ | [[☃ numeric-input 1]]\n$5$ | [[☃ numeric-input 2]]\n$7$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,11],[-1,11]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[3,7],[5,7],[7,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/91/16e05127bb90.json b/data/questions/b3/91/16e05127bb90.json new file mode 100644 index 0000000000..bd917bb26c --- /dev/null +++ b/data/questions/b3/91/16e05127bb90.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/08955a488d186a768440df6bd005f236e8e7c7bd","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-4,1],[4,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/99/585f36d61096.json b/data/questions/b3/99/585f36d61096.json new file mode 100644 index 0000000000..fadeab0419 --- /dev/null +++ b/data/questions/b3/99/585f36d61096.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(5,8)$ and $(5,3)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[5,3],[5,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/9d/a051e0dafc81.json b/data/questions/b3/9d/a051e0dafc81.json new file mode 100644 index 0000000000..288bcaeb73 --- /dev/null +++ b/data/questions/b3/9d/a051e0dafc81.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-3,-2)$, and which has the point $(-3,-9)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-3,-2],"radius":7}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/b9/521be905011b.json b/data/questions/b3/b9/521be905011b.json new file mode 100644 index 0000000000..cb1904066c --- /dev/null +++ b/data/questions/b3/b9/521be905011b.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(-6, -4\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-6,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/b9/ad3c2f49e692.json b/data/questions/b3/b9/ad3c2f49e692.json new file mode 100644 index 0000000000..ed7e58fed9 --- /dev/null +++ b/data/questions/b3/b9/ad3c2f49e692.json @@ -0,0 +1 @@ +{"content":"Match the segment to the dotted segment in the background.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"point","coord":[-9,9],"color":"green","filled":true},{"type":"line","kind":"segment","points":[{"type":"point","coord":[3,8],"color":"blue","filled":true},{"type":"point","coord":[8,8],"color":"blue","filled":true}],"color":"blue","lineStyle":"solid","showPoint1":false,"showPoint2":false},{"type":"ellipse","center":[0,2],"radius":[1,1],"angle":0,"color":"purple","fillStyle":"none","strokeStyle":"solid"},{"type":"vector","points":[[-2,-2],[-4,-4]],"color":"pink"},{"type":"polygon","points":[[5,-3],[4,-5],[6,-5]],"color":"orange","showVertices":false,"fillStyle":"none","strokeStyle":"solid"}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[3,8],[8,8]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/c1/d6277fc8a41e.json b/data/questions/b3/c1/d6277fc8a41e.json new file mode 100644 index 0000000000..709a46c204 --- /dev/null +++ b/data/questions/b3/c1/d6277fc8a41e.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8cccdd97deed7f40daac297af73ab66c63135033","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[4,-2],[1,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/c7/aa898770a0be.json b/data/questions/b3/c7/aa898770a0be.json new file mode 100644 index 0000000000..df10ae03a8 --- /dev/null +++ b/data/questions/b3/c7/aa898770a0be.json @@ -0,0 +1 @@ +{"content":"Savannah used $10$ beads to make herself a necklace. She decided to make necklaces for her friends and used $5$ beads in each of those necklaces. In the graph below, $f$ represents the number of necklaces Savannah made for friends, and $b$ represents the beads she used all together.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$b = 5f + 10$\n\n\n**Plot points on the graph that show the number of beads Savannah will use by making $2$ and $4$ necklaces.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,20],[4,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["\\text{Necklaces}","\\text{Beads}"],"markings":"graph","range":[[-1,10],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/cc/43b573cb0711.json b/data/questions/b3/cc/43b573cb0711.json new file mode 100644 index 0000000000..f1b0bfe82e --- /dev/null +++ b/data/questions/b3/cc/43b573cb0711.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x^2-9)(x^2+x-2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-2,0],[1,0],[3,0],[-3,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/d6/4306a8116fbc.json b/data/questions/b3/d6/4306a8116fbc.json new file mode 100644 index 0000000000..310cd26f3d --- /dev/null +++ b/data/questions/b3/d6/4306a8116fbc.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+5)^2+(y+2)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,-2],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/df/f734b8e1db46.json b/data/questions/b3/df/f734b8e1db46.json new file mode 100644 index 0000000000..05c3336048 --- /dev/null +++ b/data/questions/b3/df/f734b8e1db46.json @@ -0,0 +1 @@ +{"content":"crwdns3897371:0crwdne3897371:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-2],[6,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/e8/41d18ef8d7a4.json b/data/questions/b3/e8/41d18ef8d7a4.json new file mode 100644 index 0000000000..e79e328acd --- /dev/null +++ b/data/questions/b3/e8/41d18ef8d7a4.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8b14a279492d3a52d386c69dd73110180cabc2d2","scale":"1","bottom":"0","left":"0","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-3,7],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"segment","numSegments":2},"correct":{"type":"segment","numSegments":2,"coords":[[[0,1],[-1,-2]],[[5,1],[-1,-2]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/f8/deeeeee83c8a.json b/data/questions/b3/f8/deeeeee83c8a.json new file mode 100644 index 0000000000..1a62068047 --- /dev/null +++ b/data/questions/b3/f8/deeeeee83c8a.json @@ -0,0 +1 @@ +{"content":"crwdns5528755:0$20$crwdnd5528755:0$4$crwdne5528755:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[0,-20],[1,-16]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/eba38b569ed1dd35434cd99a7b5b81554f7c47eb","width":400},"editableSettings":["graph","snap","image"],"gridStep":[0.5,2],"labels":["",""],"markings":"none","range":[[-0.5,6],[-22,2]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,2],"step":[0.5,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b3/fe/06af6be8a73a.json b/data/questions/b3/fe/06af6be8a73a.json new file mode 100644 index 0000000000..4e9532d26c --- /dev/null +++ b/data/questions/b3/fe/06af6be8a73a.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(1,3)$ and $(8,3)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[8,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/0c/37d62be1c36a.json b/data/questions/b4/0c/37d62be1c36a.json new file mode 100644 index 0000000000..008b33cd33 --- /dev/null +++ b/data/questions/b4/0c/37d62be1c36a.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $2$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a37f02d42c50e709f24d530b14c2141c3da9247c","width":425},"correct":{"coords":[[6,-3],[-2,6],[-7,-3]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/11/15f722673852.json b/data/questions/b4/11/15f722673852.json new file mode 100644 index 0000000000..8076d875b8 --- /dev/null +++ b/data/questions/b4/11/15f722673852.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=-8|x |+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[0,1],[1,-7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/15/c4d925e416a0.json b/data/questions/b4/15/c4d925e416a0.json new file mode 100644 index 0000000000..6a5aed51cd --- /dev/null +++ b/data/questions/b4/15/c4d925e416a0.json @@ -0,0 +1 @@ +{"content":"crwdns3144259:0$SORT$crwdne3144259:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3aa306bbe7ede3067d116d597eb2e0324867d1f3","width":400},"correct":{"coords":[[7,1],[4,7],[1,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e98730da75ea202f048b860cb802424c71818cf1","width":400},"correct":{"coords":[[3,-7],[-1,-2],[-4,-5]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a8e84c2e6e4335cf4439641e24648acf207fd353","width":400},"correct":{"coords":[[-4,3],[-2,5],[-6,7],[-8,5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/930bffb00514a0dbdeb0501856b1db4f8eb68d39","width":400},"correct":{"coords":[[-6,-7],[-1,2],[3,2],[-2,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/25/4338430d39cc.json b/data/questions/b4/25/4338430d39cc.json new file mode 100644 index 0000000000..b33ae6d6f1 --- /dev/null +++ b/data/questions/b4/25/4338430d39cc.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2\\cdot3^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,6],[0,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/2e/ac487fdb01ec.json b/data/questions/b4/2e/ac487fdb01ec.json new file mode 100644 index 0000000000..71e173cf46 --- /dev/null +++ b/data/questions/b4/2e/ac487fdb01ec.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=0+0i$ \n* $ w=7+7i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":9.9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[3.5,3.5],[0,0],[-7,-7],[7,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/30/ff08f92f2d16.json b/data/questions/b4/30/ff08f92f2d16.json new file mode 100644 index 0000000000..e150322a25 --- /dev/null +++ b/data/questions/b4/30/ff08f92f2d16.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93849294999d51d850b8168712294e8399b89e80","width":425},"correct":{"coords":[[2,1],[0,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/3c/6f06f145876f.json b/data/questions/b4/3c/6f06f145876f.json new file mode 100644 index 0000000000..a33866d452 --- /dev/null +++ b/data/questions/b4/3c/6f06f145876f.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(2x^2-9x+7)(x-2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[1,0],[3.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/40/e8b685217a43.json b/data/questions/b4/40/e8b685217a43.json new file mode 100644 index 0000000000..eab8155a5a --- /dev/null +++ b/data/questions/b4/40/e8b685217a43.json @@ -0,0 +1 @@ +{"content":"**Construct an $80^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6995f140756ad6a6bd1095124acebb894678dce5.png":{"height":395,"width":370}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-1.3982678768416987,-1.0700288111122171],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/42/0be4d387fcf5.json b/data/questions/b4/42/0be4d387fcf5.json new file mode 100644 index 0000000000..f9d54dbf8a --- /dev/null +++ b/data/questions/b4/42/0be4d387fcf5.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{4}(x +3)(x +7)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,3],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/53/8f568fa1a8a8.json b/data/questions/b4/53/8f568fa1a8a8.json new file mode 100644 index 0000000000..e5f02a9fa8 --- /dev/null +++ b/data/questions/b4/53/8f568fa1a8a8.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=-4|x +1|-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-1,-3],[0,-7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/71/15818403f30d.json b/data/questions/b4/71/15818403f30d.json new file mode 100644 index 0000000000..32abfe1b30 --- /dev/null +++ b/data/questions/b4/71/15818403f30d.json @@ -0,0 +1 @@ +{"content":"crwdns5315896:0{ m}crwdnd5315896:0$1$crwdnd5315896:0{ m}crwdne5315896:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[2,6],[2,9],[-1,9],[-1,6]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/7d/168ef056974d.json b/data/questions/b4/7d/168ef056974d.json new file mode 100644 index 0000000000..d8dc9dab05 --- /dev/null +++ b/data/questions/b4/7d/168ef056974d.json @@ -0,0 +1 @@ +{"content":"Keshawn drew a rectangle with an area of $18$ square units.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $9$ units long.*\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4026301098c40e38035250f0fe4e79b3e0c4aedd","width":400,"height":400},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,6],[-5,6]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"snapTo":"grid","match":"congruent"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/9b/a64b1d4074f7.json b/data/questions/b4/9b/a64b1d4074f7.json new file mode 100644 index 0000000000..e179beaae6 --- /dev/null +++ b/data/questions/b4/9b/a64b1d4074f7.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $3$, $4$, and $5$.** \n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3.5,2],[3.5,5],[-0.5,2]],"match":"congruent","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[0.5,0.5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/a3/1ebf08dd8566.json b/data/questions/b4/a3/1ebf08dd8566.json new file mode 100644 index 0000000000..b5d787c6f6 --- /dev/null +++ b/data/questions/b4/a3/1ebf08dd8566.json @@ -0,0 +1 @@ +{"content":"**Graph $12x-9y=36$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,-4],[3,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/a3/58b41950101b.json b/data/questions/b4/a3/58b41950101b.json new file mode 100644 index 0000000000..d6e1f0430a --- /dev/null +++ b/data/questions/b4/a3/58b41950101b.json @@ -0,0 +1 @@ +{"content":"crwdns6902052:0$ycrwdnd6902052:0{2}crwdne6902052:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-4],[1,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/c0/b6db4145993f.json b/data/questions/b4/c0/b6db4145993f.json new file mode 100644 index 0000000000..5cc50f119c --- /dev/null +++ b/data/questions/b4/c0/b6db4145993f.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $1$, नियम: $1$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $7$, नियम: $7$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,7],[2,14],[3,21]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,22],[-2,22]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["1","7"],["2","14"],["3","21"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/ce/fe87f66bc2a1.json b/data/questions/b4/ce/fe87f66bc2a1.json new file mode 100644 index 0000000000..2a188d0a27 --- /dev/null +++ b/data/questions/b4/ce/fe87f66bc2a1.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(20,20)$. The rectangle is $10$ units wide and $15$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/18d857eaaa09dc318ed351ff7cbe734bfe18c724","width":400},"correct":{"coords":[[5,10],[10,2.5],[5,2.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,11.5],[-1,11.5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/d8/457be39ff611.json b/data/questions/b4/d8/457be39ff611.json new file mode 100644 index 0000000000..7479e8cc43 --- /dev/null +++ b/data/questions/b4/d8/457be39ff611.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(-7,-5)$ and $(-1,-2)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4afc8019a65038699d6a783b9b8b8edf95e62acf","width":425},"correct":{"coords":[[[-5,-7],[-2,-1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/da/9d0bbcbf77b2.json b/data/questions/b4/da/9d0bbcbf77b2.json new file mode 100644 index 0000000000..ac8869281b --- /dev/null +++ b/data/questions/b4/da/9d0bbcbf77b2.json @@ -0,0 +1 @@ +{"content":"crwdns3898369:0$ycrwdne3898369:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-9],[1,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/dc/334eb445c38a.json b/data/questions/b4/dc/334eb445c38a.json new file mode 100644 index 0000000000..674ae10a96 --- /dev/null +++ b/data/questions/b4/dc/334eb445c38a.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f72f9bdc4e3cca3cf8b3cd3d6f699602b409c517","width":400},"correct":{"coords":[[-6,7],[-6,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/de/c576aee20c89.json b/data/questions/b4/de/c576aee20c89.json new file mode 100644 index 0000000000..875c5a3293 --- /dev/null +++ b/data/questions/b4/de/c576aee20c89.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{4}{3}x+8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,8],[3,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b4/f8/700bd53f9bf4.json b/data/questions/b4/f8/700bd53f9bf4.json new file mode 100644 index 0000000000..9053df1def --- /dev/null +++ b/data/questions/b4/f8/700bd53f9bf4.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $2$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a37f02d42c50e709f24d530b14c2141c3da9247c","width":425},"correct":{"coords":[[6,-3],[-2,6],[-7,-3]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/11/29e127cd2a87.json b/data/questions/b5/11/29e127cd2a87.json new file mode 100644 index 0000000000..9bd53d1450 --- /dev/null +++ b/data/questions/b5/11/29e127cd2a87.json @@ -0,0 +1 @@ +{"content":"Three of the points that define a certain quadrilateral are $(-2,7)$, $(-6,5)$, and $(-2,-3)$. The quadrilateral has reflective symmetry over the line $x=-2$.\n\n**Draw and classify the quadrilateral described above.** \n(Choose the most specific description.)\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d1dcbf5ede0bb21f211adb5c7da86118e4173e05","width":400},"correct":{"coords":[[-2,7],[2,5],[-2,-3],[-6,5]],"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"वर्ग (Square)","correct":false},{"content":"आयत (Rectangle)","correct":false},{"content":"समचतुर्भुज (Rhombus)","correct":false},{"content":"समांतर चतुर्भुज (Parallelogram)","correct":false},{"content":"समलंब चतुर्भुज (Trapezoid)","correct":false},{"content":"Kite","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/b5/15/e482fdf12540.json b/data/questions/b5/15/e482fdf12540.json new file mode 100644 index 0000000000..c0f6f2f5da --- /dev/null +++ b/data/questions/b5/15/e482fdf12540.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b2bc35a8f5bbc24767856d47249be0885bed826c","width":430},"correct":{"coords":[[6,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/16/d84d7126e4d1.json b/data/questions/b5/16/d84d7126e4d1.json new file mode 100644 index 0000000000..101785fc47 --- /dev/null +++ b/data/questions/b5/16/d84d7126e4d1.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{3}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/080a86bfaa4d108e99153a8dfc0606a9943a91bf","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[2,-5],[5,-1],[1,-2]],"showAngles":false,"snapTo":"grid","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/1a/eb8e08f91918.json b/data/questions/b5/1a/eb8e08f91918.json new file mode 100644 index 0000000000..e875f3c3aa --- /dev/null +++ b/data/questions/b5/1a/eb8e08f91918.json @@ -0,0 +1 @@ +{"content":"**Use the line segments below to create a triangle with vertices at the following points.**\n\n$(-8,-5), (−2,1), (−3,6)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,-5],[-2,1],[-3,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/29/5e98030cf27a.json b/data/questions/b5/29/5e98030cf27a.json new file mode 100644 index 0000000000..eb0f8fb1f0 --- /dev/null +++ b/data/questions/b5/29/5e98030cf27a.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{3}{2}x+2$ \n \n\n\n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\nDrag the points on the graph to the specified coordinates.\n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/e80a5c39c2feea03393b4fe2d052fd4776d1f50e.png":{"height":431,"width":426}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,5],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**□□□**. □□□ □□□□□□□□□□□□ □□ □□□□□□□□□□□□.","correct":false},{"content":"**□□**. □□□ □□□□□□□□□□□□ □□ □□□ □□□□□□□□□□□□.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/37/c4010796d698.json b/data/questions/b5/37/c4010796d698.json new file mode 100644 index 0000000000..b788ee5bf0 --- /dev/null +++ b/data/questions/b5/37/c4010796d698.json @@ -0,0 +1 @@ +{"content":"We want to solve the following system of equations:\n\n$\\begin{cases}\n2x+y=-4\n\\\\\\\\\ny=(x+1)^2-2\n\\end{cases}$\n\nThe line given by $2x+y=-4$ is graphed.\n\n**1) Draw the parabola given by $y=(x+1)^2-2$ in the interactive graph.**\n\n[[☃ grapher 1]]\n\n**2) Select all solutions to the system.**\n\n[[☃ radio 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-2],[-3,2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9c25a8a6c9a7ae2ea141c9600a531aeec545ea27","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(-3,2)$","correct":true},{"content":"$(-2,0)$","isNoneOfTheAbove":false},{"content":"$(-1,-2)$","correct":true,"isNoneOfTheAbove":false},{"content":"$(0,-4)$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/b5/40/0796cce3edf2.json b/data/questions/b5/40/0796cce3edf2.json new file mode 100644 index 0000000000..2ded102a97 --- /dev/null +++ b/data/questions/b5/40/0796cce3edf2.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $4$ units to the left and $3$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/94a5bc60ed8d93cef137d664124e8a5a494a95fc","width":425},"correct":{"coords":[[-6,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/4c/21c9e8fed69c.json b/data/questions/b5/4c/21c9e8fed69c.json new file mode 100644 index 0000000000..8fb65fa562 --- /dev/null +++ b/data/questions/b5/4c/21c9e8fed69c.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e79a3248835f28f6ff4f918672041bb8f247e52c","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-2,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/53/5478b124153e.json b/data/questions/b5/53/5478b124153e.json new file mode 100644 index 0000000000..71104e1899 --- /dev/null +++ b/data/questions/b5/53/5478b124153e.json @@ -0,0 +1 @@ +{"content":"crwdns3462895:0$gcrwdnd3462895:0{3}crwdnd3462895:0{2}crwdne3462895:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,0],[4,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/6c/5edbc2a9b9ca.json b/data/questions/b5/6c/5edbc2a9b9ca.json new file mode 100644 index 0000000000..d716f004ad --- /dev/null +++ b/data/questions/b5/6c/5edbc2a9b9ca.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8473b1c8a41fc0f3ac481818a8598bf19593c3ba","width":430},"correct":{"coords":[[-1.5,1.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/7d/04f096df5877.json b/data/questions/b5/7d/04f096df5877.json new file mode 100644 index 0000000000..7e31b6a260 --- /dev/null +++ b/data/questions/b5/7d/04f096df5877.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(3,-2)$ and has a radius of $5$ units**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,-2],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/7e/6b5568ae5a65.json b/data/questions/b5/7e/6b5568ae5a65.json new file mode 100644 index 0000000000..971f62f63f --- /dev/null +++ b/data/questions/b5/7e/6b5568ae5a65.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/118f998cb8acce2412f76f7a8319861a76f711e7","width":400},"correct":{"coords":[[-1,-2]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/7f/a26adc17d6c2.json b/data/questions/b5/7f/a26adc17d6c2.json new file mode 100644 index 0000000000..c2748d6059 --- /dev/null +++ b/data/questions/b5/7f/a26adc17d6c2.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $1$, Rule: add $1$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$1$ | $6$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6],[2,12],[3,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/84/4f09a4521223.json b/data/questions/b5/84/4f09a4521223.json new file mode 100644 index 0000000000..ba5595530b --- /dev/null +++ b/data/questions/b5/84/4f09a4521223.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y= -2\\cdot \\left(\\dfrac13\\right)^{x+1}+7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"exponential","asymptote":[[-10,7],[10,7]],"coords":[[-2,1],[-1,5]]},"availableTypes":["exponential"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/c3/e0e0c8cacd22.json b/data/questions/b5/c3/e0e0c8cacd22.json new file mode 100644 index 0000000000..f3f36a3081 --- /dev/null +++ b/data/questions/b5/c3/e0e0c8cacd22.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $4$, Rule: add $2$\n\nPattern $y$: Starting number: $2$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$4$ | $2$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[6,3],[8,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/c6/ea7051cf7685.json b/data/questions/b5/c6/ea7051cf7685.json new file mode 100644 index 0000000000..4188226cfd --- /dev/null +++ b/data/questions/b5/c6/ea7051cf7685.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e652b3064de8c8ebb74ab335f31fa4f1d7db550f","width":425},"correct":{"coords":[[5,2],[-3,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/c9/9d074560a6fc.json b/data/questions/b5/c9/9d074560a6fc.json new file mode 100644 index 0000000000..afc1da8374 --- /dev/null +++ b/data/questions/b5/c9/9d074560a6fc.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\log_2(-x+1)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[1,-10],[1,10]],"coords":[[-1,-3],[0,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/e5/99bf94ed3e2b.json b/data/questions/b5/e5/99bf94ed3e2b.json new file mode 100644 index 0000000000..ee5aac707f --- /dev/null +++ b/data/questions/b5/e5/99bf94ed3e2b.json @@ -0,0 +1 @@ +{"content":"Athletes competed for medals in different track and field events at the $2012$ Summer Olympics in London. The table below shows how many gold and silver medals were won by a sample of nations. \n \n**Plot the data in a scatter plot.** \n \n| USA | Russia | Jamaica | Great Britain | Ethiopia | Kenya\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Gold** | $9$ | $8$ | $4$ | $4$ | $3$ | $2$\n**Silver** | $13$ | $4$ | $4$ | $1$ | $1$ | $4$ \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[9,13],[8,4],[4,4],[4,1],[3,1],[2,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Gold}$","$\\text{Silver}$"],"markings":"graph","range":[[-1,10],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/eb/dad8ab20f521.json b/data/questions/b5/eb/dad8ab20f521.json new file mode 100644 index 0000000000..fb768ca83b --- /dev/null +++ b/data/questions/b5/eb/dad8ab20f521.json @@ -0,0 +1 @@ +{"content":"crwdns5528693:0$400$crwdnd5528693:0$0.8$crwdne5528693:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[0,400],[100,320]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/912a0e55ce2251cb5f0d6516a595820e7a79b66b","width":400},"editableSettings":["graph","snap","image"],"gridStep":[50,40],"labels":["",""],"markings":"none","range":[[-50,600],[-40,440]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[50,40],"step":[100,40],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/ec/38665cda2bfd.json b/data/questions/b5/ec/38665cda2bfd.json new file mode 100644 index 0000000000..52615d5497 --- /dev/null +++ b/data/questions/b5/ec/38665cda2bfd.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/68c9ef018a8ed2c5b080a4c527a969759fcedd29","width":430},"correct":{"coords":[[6,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b5/ff/62b37eaf9774.json b/data/questions/b5/ff/62b37eaf9774.json new file mode 100644 index 0000000000..a34fd0051f --- /dev/null +++ b/data/questions/b5/ff/62b37eaf9774.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $ABCD$ undergoes the following transformations in order: \n\n1. A reflection over the line $x = 2$. \n2. A translation 2 units up and 1 unit to the right.\n\n[[☃ interactive-graph 1]]\n\nAfter the reflection, point C is in [[☃ dropdown 1]].\n\nAfter the reflection and translation, point C is in [[☃ dropdown 2]]\n","widgets":{"interactive-graph 3":{"type":"interactive-graph","alignment":"default","static":true,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-8,12],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"line","points":[{"type":"point","coord":[2,0],"color":"red","filled":true},{"type":"point","coord":[2,2],"color":"red","filled":false}],"color":"red","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"polygon","points":[[-5,0],[-1,2],[-1,-1],[-5,-3]],"color":"blue","showVertices":false,"fillStyle":"none","strokeStyle":"solid"}],"graph":{"type":"point","numPoints":0},"correct":{"type":"point","hasBeenInteractedWith":true,"range":[[-8,12],[-10,10]],"snapStep":[0.5,0.5],"coords":[[-1,-1]],"numPoints":0}},"version":{"major":0,"minor":0}},"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":null}},"version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-8,12],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"graph":{"type":"polygon","hasBeenInteractedWith":false,"range":[[-8,12],[-10,10]],"snapStep":[0.5,0.5],"showAngles":false,"showSides":false,"coords":null,"snapTo":"grid","numSides":4},"valid":true,"correct":{"type":"polygon","hasBeenInteractedWith":true,"range":[[-8,12],[-10,10]],"snapStep":[0.5,0.5],"showAngles":false,"showSides":false,"coords":[[-1,-1],[-1,2],[-5,0],[-5,-3]],"snapTo":"grid","numSides":4},"lockedFigures":[{"type":"line","kind":"line","points":[{"type":"point","coord":[2,0],"color":"red","filled":true},{"type":"point","coord":[2,2],"color":"red","filled":false}],"color":"red","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"polygon","points":[[-5,0],[-1,2],[-1,-1],[-5,-3]],"color":"blue","showVertices":false,"fillStyle":"none","strokeStyle":"solid"}],"box":[288,288],"gridStep":[1,1],"snapStep":[0.5,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":true},"dropdown 1":{"options":{"placeholder":"","choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":false},{"content":"Quadrant IV","correct":true}],"static":false},"type":"dropdown","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"dropdown 2":{"options":{"placeholder":"","choices":[{"content":"Quadrant I","correct":true},{"content":"Quadrant 2","correct":false},{"content":"Quadrant 3","correct":false},{"content":"Quadrant 4","correct":false}],"static":false},"type":"dropdown","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/b6/01/ea275682fb85.json b/data/questions/b6/01/ea275682fb85.json new file mode 100644 index 0000000000..e79387da3a --- /dev/null +++ b/data/questions/b6/01/ea275682fb85.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a trapezoid with right angles at $(0, -7)$ and $(8, -7)$, another vertex at $(8, 0)$, and a vertical base of $16$ units.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-7],[8,-7],[8,0],[0,9]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/12/af92d9d5b003.json b/data/questions/b6/12/af92d9d5b003.json new file mode 100644 index 0000000000..92dced7571 --- /dev/null +++ b/data/questions/b6/12/af92d9d5b003.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $3$ units in $t$ corresponds to an increase of $8$ units in $d$. \n\n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2.6666666666666665"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/17/af56778a64c4.json b/data/questions/b6/17/af56778a64c4.json new file mode 100644 index 0000000000..fa5f4ee414 --- /dev/null +++ b/data/questions/b6/17/af56778a64c4.json @@ -0,0 +1 @@ +{"content":"crwdns2975589:0crwdne2975589:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,9],[8,0],[0,-7],[-5,0],[-5,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/b6/26/6322fc2bc102.json b/data/questions/b6/26/6322fc2bc102.json new file mode 100644 index 0000000000..136dbff1f1 --- /dev/null +++ b/data/questions/b6/26/6322fc2bc102.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb9e6939086d4aad4fff70e6878fa43be30e40e0","width":430},"correct":{"coords":[[7,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/2b/bb1000b12dc8.json b/data/questions/b6/2b/bb1000b12dc8.json new file mode 100644 index 0000000000..9cf35c0ba5 --- /dev/null +++ b/data/questions/b6/2b/bb1000b12dc8.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(2,-6)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(2,-6)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"First quadrant ","correct":false},{"content":"Second quadrant ","correct":false},{"content":"Third quadrant","correct":false},{"content":"Fourth quadrant","correct":true},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/b6/2f/2d5bcbfce344.json b/data/questions/b6/2f/2d5bcbfce344.json new file mode 100644 index 0000000000..fe01e7810a --- /dev/null +++ b/data/questions/b6/2f/2d5bcbfce344.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{7}\\,x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"□□□ □□□□□□□□ □□□□□□□□□□ □ □□□□□□□□□□□□ □□□□□□□□□□□□.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $\\dfrac{7}{2}$ .\n","correct":false},{"content":"The slope of the line is $\\dfrac{2}{7}$ .","correct":true},{"content":" A change of $7$ units in $x$ results in a change of $2$ units in $y$.","correct":true},{"content":" A change of $6$ units in $x$ results in a change of $21$ units in $y$.","correct":false}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/39/dc7bb4746969.json b/data/questions/b6/39/dc7bb4746969.json new file mode 100644 index 0000000000..8b74f6d774 --- /dev/null +++ b/data/questions/b6/39/dc7bb4746969.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $9$, Rule: add $3$\n\nPattern $y$: Starting number: $3$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$9$ | $3$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9,3],[12,4],[15,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/3d/ef40ba715e02.json b/data/questions/b6/3d/ef40ba715e02.json new file mode 100644 index 0000000000..24ae0e8d62 --- /dev/null +++ b/data/questions/b6/3d/ef40ba715e02.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=4\\sin(0.5x+\\pi)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-4,-3],[-2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/6a/f41ed90212e0.json b/data/questions/b6/6a/f41ed90212e0.json new file mode 100644 index 0000000000..150c3a2629 --- /dev/null +++ b/data/questions/b6/6a/f41ed90212e0.json @@ -0,0 +1 @@ +{"content":"crwdns3077821:0$ycrwdne3077821:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns2684677:0crwdne2684677:0","correct":true},{"content":"crwdns2922250:0$y$crwdnd2922250:0$x$crwdnd2922250:0$0.4$crwdne2922250:0","correct":true},{"content":"crwdns2922238:0$0.4$crwdne2922238:0","correct":true},{"content":"crwdns2922197:0$2$crwdnd2922197:0$x$crwdnd2922197:0$0.2$crwdnd2922197:0$y$crwdne2922197:0","correct":false},{"content":"crwdns2922193:0$3$crwdnd2922193:0$x$crwdnd2922193:0$1.2$crwdnd2922193:0$y$crwdne2922193:0","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/78/baa902720a41.json b/data/questions/b6/78/baa902720a41.json new file mode 100644 index 0000000000..0141666686 --- /dev/null +++ b/data/questions/b6/78/baa902720a41.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(1.5,3)$ and has a radius of $1.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[1.5,3],"radius":1.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/7e/80a0bb0fd6e9.json b/data/questions/b6/7e/80a0bb0fd6e9.json new file mode 100644 index 0000000000..d1739a2796 --- /dev/null +++ b/data/questions/b6/7e/80a0bb0fd6e9.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $0.4$, $-0.6$, and $-\\dfrac15$.**\n\n[[☃ radio 1]]","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/ef87ed19e93b0577fc9d7c8e07fdf90f132f45c9)\n","correct":true},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/f2f7c4092de8c69bbf32a3c34e62994d7059a848)","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/f8ffbb95d3ef2892f965e0b68b816695b888ae6f)","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/80/0f4cd05dca8c.json b/data/questions/b6/80/0f4cd05dca8c.json new file mode 100644 index 0000000000..e80a92d156 --- /dev/null +++ b/data/questions/b6/80/0f4cd05dca8c.json @@ -0,0 +1 @@ +{"content":"**Construct a $30^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/214a2834ece7a2052c15cb82c8da60286ebf80cf.png":{"height":38,"width":210},"https://ka-perseus-images.s3.amazonaws.com/895c494cc4520ecbdca32e680df0f97ee54f4320.png":{"height":202,"width":381}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-7.604667861756446,1.2358564987035274],[-2,-2],[-8.819865009834583,-1.9999999999999991]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/88/44022f901c0b.json b/data/questions/b6/88/44022f901c0b.json new file mode 100644 index 0000000000..0684f5d3b3 --- /dev/null +++ b/data/questions/b6/88/44022f901c0b.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $2$\n\nPattern $y$: Starting number: $4$, Rule: add $1$\n\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":10}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/8e/88b40e37d09b.json b/data/questions/b6/8e/88b40e37d09b.json new file mode 100644 index 0000000000..a0686eb4ff --- /dev/null +++ b/data/questions/b6/8e/88b40e37d09b.json @@ -0,0 +1 @@ +{"content":"In a recent gum-chewing contest, Violet tried to blow the biggest blueberry-flavored bubble ever. She started with no gum in her mouth, and every $3$ seconds, she added $1$ piece of gum to form a huge bubble. On the graph below, the $x$-axis represents time (in seconds) and the $y$-axis represents pieces of gum in Violet's bubble. \n\n**Plot points to show how many pieces of gum were in Violet's bubble after $3$, $6$, and $9$ seconds**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,2],[9,3],[3,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/92/385d1797890e.json b/data/questions/b6/92/385d1797890e.json new file mode 100644 index 0000000000..256909a6d0 --- /dev/null +++ b/data/questions/b6/92/385d1797890e.json @@ -0,0 +1 @@ +{"content":"The $3$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $3$ points, plot the $3$ corresponding points that must be on the graph of $y=\\log_b{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8abd4d786e557d2d1fef2e79404203b5da19920c.png","width":425},"correct":{"coords":[[16,2],[1,0],[4,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/95/3d1385897569.json b/data/questions/b6/95/3d1385897569.json new file mode 100644 index 0000000000..a66bdf5c6d --- /dev/null +++ b/data/questions/b6/95/3d1385897569.json @@ -0,0 +1 @@ +{"content":"crwdns3362752:0$ycrwdnd3362752:0$ycrwdnd3362752:0$fcrwdne3362752:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ae5fc7f4a1b02add71f7b0ee534e4127dcb61c4","width":400},"correct":{"coords":[[5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/a0/bae0bbf928e1.json b/data/questions/b6/a0/bae0bbf928e1.json new file mode 100644 index 0000000000..68b3933412 --- /dev/null +++ b/data/questions/b6/a0/bae0bbf928e1.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nNatalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.\n\n| | |\n- | :-: | :-:| :-:| :-:\nTargets hit | $1$| $2$| $5$ \nPoints | $3$ | $6$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Natalie's points proportional to the number of targets she hit?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\small{\\text{Targets hit}}$","$\\text{Points}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,7],[-2,20]],"gridStep":[0.5,1],"snapStep":[0.25,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[1,3],[2,6],[5,15]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/b6/ad/def4be48fb02.json b/data/questions/b6/ad/def4be48fb02.json new file mode 100644 index 0000000000..4eb71849f1 --- /dev/null +++ b/data/questions/b6/ad/def4be48fb02.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=4x(x-3)(x+1)(2x-5)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,0],[3,0],[-1,0],[2.5,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/b3/6eb901c335d3.json b/data/questions/b6/b3/6eb901c335d3.json new file mode 100644 index 0000000000..a5251e8b8f --- /dev/null +++ b/data/questions/b6/b3/6eb901c335d3.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,0)$ and $(2,-5)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,0],[2,-5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/bb/daf8a94a65ed.json b/data/questions/b6/bb/daf8a94a65ed.json new file mode 100644 index 0000000000..119de8bd02 --- /dev/null +++ b/data/questions/b6/bb/daf8a94a65ed.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2x-7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-7],[1,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/c0/2f2409b64ae3.json b/data/questions/b6/c0/2f2409b64ae3.json new file mode 100644 index 0000000000..edb5590a3d --- /dev/null +++ b/data/questions/b6/c0/2f2409b64ae3.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\cos(2x-3\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[3.5,2],[3,7]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[0.5,0.5],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3399a2166bf8f88b67cacda125ca07971602b0b0","width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/d4/b122fd9b05b9.json b/data/questions/b6/d4/b122fd9b05b9.json new file mode 100644 index 0000000000..b4216150bb --- /dev/null +++ b/data/questions/b6/d4/b122fd9b05b9.json @@ -0,0 +1 @@ +{"content":"crwdns3462810:0$gcrwdne3462810:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-3],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/da/7685cf5b16ee.json b/data/questions/b6/da/7685cf5b16ee.json new file mode 100644 index 0000000000..d7c301b806 --- /dev/null +++ b/data/questions/b6/da/7685cf5b16ee.json @@ -0,0 +1 @@ +{"content":"crwdns3897375:0crwdne3897375:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/df/6193b31cfd79.json b/data/questions/b6/df/6193b31cfd79.json new file mode 100644 index 0000000000..5447875af7 --- /dev/null +++ b/data/questions/b6/df/6193b31cfd79.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create a right angle.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":true},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":false},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/13bd5fa711e2f06f00cbb431ca44b108ff1456fb.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[5,0.6480998664212345],[5,-6],[-0.7650059945889964,-5.999999999999999]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/e6/51bda9567068.json b/data/questions/b6/e6/51bda9567068.json new file mode 100644 index 0000000000..34c3f8a3a1 --- /dev/null +++ b/data/questions/b6/e6/51bda9567068.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-19$|$23$|$7$|$23$|$-19$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/22f4591e46493a9f6d2fce669ab638efa8e90a87","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,-3],[5,-2]],[[-5,0],[5,1]],[[-5,-6],[5,4]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/b6/e9/66c80b0c88f6.json b/data/questions/b6/e9/66c80b0c88f6.json new file mode 100644 index 0000000000..ec2cd8b955 --- /dev/null +++ b/data/questions/b6/e9/66c80b0c88f6.json @@ -0,0 +1 @@ +{"content":"crwdns3295085:0$2000$crwdnd3295085:0$2005$crwdnd3295085:0$2000$crwdnd3295085:0$2001$crwdnd3295085:0$2002$crwdnd3295085:0$2003$crwdnd3295085:0$2004$crwdnd3295085:0$2005$crwdnd3295085:0$11$crwdnd3295085:0$13$crwdnd3295085:0$12$crwdnd3295085:0$17$crwdnd3295085:0$15$crwdnd3295085:0$17$crwdnd3295085:0$14$crwdnd3295085:0$15$crwdnd3295085:0$12$crwdnd3295085:0$16$crwdnd3295085:0$14$crwdnd3295085:0$27$crwdne3295085:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[11,14],[13,15],[12,12],[17,16],[15,14],[17,27]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["crwdns3295067:0{Predicted}crwdne3295067:0","crwdns3295066:0{Actual}crwdne3295066:0"],"markings":"graph","range":[[-4,30],[-4,30]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/f1/9805833d1f18.json b/data/questions/b6/f1/9805833d1f18.json new file mode 100644 index 0000000000..d33664c8ef --- /dev/null +++ b/data/questions/b6/f1/9805833d1f18.json @@ -0,0 +1 @@ +{"content":"Holly drinks juice while she drives to work each day.\n\nShe recorded the amount of juice she drank (in milliliters) and how long (in minutes) her drive took for five days this week.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Juice (mL)** | $100$ | $200$ | $150$ | $125$ | $225$\n**Time (min)** | $18$ | $14$ | $15$ | $20$ | $12$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[50,2],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["$\\text{Juice}$","$\\text{Time}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-25,300],[-2,21]],"gridStep":[25,1],"snapStep":[25,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[100,18],[200,14],[150,15],[125,20],[225,12]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b6/f9/ce08102d91f2.json b/data/questions/b6/f9/ce08102d91f2.json new file mode 100644 index 0000000000..d8a097e5b1 --- /dev/null +++ b/data/questions/b6/f9/ce08102d91f2.json @@ -0,0 +1 @@ +{"content":"King Kyle orders the construction of his future mausoleum (a fancy tomb) so that people never forget his awesomeness. His architect draws a floor plan depicting the mausoleum as a rectangle measuring $35\\text{ m}$ by $40\\text{ m}$.\n\n**Move points to redraw the architect's floor plan on the grid below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/12/61a9f7bb081e.json b/data/questions/b7/12/61a9f7bb081e.json new file mode 100644 index 0000000000..4891a7c1c7 --- /dev/null +++ b/data/questions/b7/12/61a9f7bb081e.json @@ -0,0 +1 @@ +{"content":"Part-time employees at a small business get paid hourly wages based on how many years they have worked at the business.\n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Years worked** | $0$ | $1$ | $2$ | $3$ | $4$\n**Hourly wage** | $\\$5.50$ | $\\$6.50$ | $\\$7.00$ | $\\$7.50$ | $\\$7.50$ \n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 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1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[3,-2],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/20/337d1f742397.json b/data/questions/b7/20/337d1f742397.json new file mode 100644 index 0000000000..7776df0b98 --- /dev/null +++ b/data/questions/b7/20/337d1f742397.json @@ -0,0 +1 @@ +{"content":"[[☃ categorizer 1]]\n\n[[☃ dropdown 1]][[☃ explanation 1]]\n\n[[☃ expression 1]]\n\n[[☃ grapher 1]]\n\n[[☃ image 1]]\n\n[[☃ interaction 1]]\n\n[[☃ interactive-graph 1]]\n\n[[☃ matrix 1]]\n\n[[☃ measurer 1]]\n\n[[☃ radio 1]]\n\n[[☃ number-line 1]]\n\n[[☃ orderer 1]]\n\n[[☃ plotter 1]]\n\n[[☃ sorter 1]]\n\n[[☃ table 1]]\n\n[[☃ transformer 1]]\n\n[[☃ matcher 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1":{"alignment":"default","graded":true,"options":{"correct":{"shape":{"coords":[[2,2],[2,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"drawSolutionShape":true,"gradeEmpty":false,"graph":{"backgroundImage":{"url":null},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"dynamic","starting":{"shape":{"coords":[[2,2],[2,6],[7,2]],"type":"polygon-3"},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":true,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[2,-4],[2,2]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":true,"required":false},"translation":{"constraints":{},"enabled":true,"required":false}},"version":1.2},"static":false,"type":"transformer","version":{"major":0,"minor":0}},"video 1":{"alignment":"block","graded":true,"options":{"location":"","static":false},"static":false,"type":"video","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/21/8b137b62b337.json b/data/questions/b7/21/8b137b62b337.json new file mode 100644 index 0000000000..f5c587366b --- /dev/null +++ b/data/questions/b7/21/8b137b62b337.json @@ -0,0 +1 @@ +{"content":"crwdns2972204:0crwdne2972204:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f4a110969b2e6e1772058f9916fe08741fb2d54b.png","width":400},"correct":{"coords":[[3,4],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/33/19bbe916c8a5.json b/data/questions/b7/33/19bbe916c8a5.json new file mode 100644 index 0000000000..7f316086c6 --- /dev/null +++ b/data/questions/b7/33/19bbe916c8a5.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4x^2+8x+7$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,3],[0,7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/44/bdfe1e69d7ca.json b/data/questions/b7/44/bdfe1e69d7ca.json new file mode 100644 index 0000000000..87224d5e8a --- /dev/null +++ b/data/questions/b7/44/bdfe1e69d7ca.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c782cd5e1839298737cd5a1626c79851d17f2fe","width":430},"correct":{"coords":[[0,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/4b/196aa5272445.json b/data/questions/b7/4b/196aa5272445.json new file mode 100644 index 0000000000..3a768b4121 --- /dev/null +++ b/data/questions/b7/4b/196aa5272445.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-3(x-1)^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[1,1],[0,-2]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/51/71fb3f9a26e0.json b/data/questions/b7/51/71fb3f9a26e0.json new file mode 100644 index 0000000000..703fa2158f --- /dev/null +++ b/data/questions/b7/51/71fb3f9a26e0.json @@ -0,0 +1 @@ +{"content":"crwdns4115745:0$P$crwdnd4115745:0$5$crwdnd4115745:0$7$crwdne4115745:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2a97a1fe92405eb9313b06a6dedeeb00de8f4f38","width":425},"correct":{"coords":[[4,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/57/5d737e27d7c5.json b/data/questions/b7/57/5d737e27d7c5.json new file mode 100644 index 0000000000..9c24910b5d --- /dev/null +++ b/data/questions/b7/57/5d737e27d7c5.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(-10,14)$ and $(14,7)$, and a side measuring $14$ units that is parallel to the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-10,14],[-10,0],[14,7]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/74/a2dabdc839b3.json b/data/questions/b7/74/a2dabdc839b3.json new file mode 100644 index 0000000000..e196745de8 --- /dev/null +++ b/data/questions/b7/74/a2dabdc839b3.json @@ -0,0 +1 @@ +{"content":"You are given the following starting numbers and rules for two sequences of numbers:\n\nSequence $x$: Starting number: $8$, Rule: add $2$\n\nSequence $y$: Starting number: $4$, Rule: add $1$\n\n**Fill in the table with the first $3$ terms of $x$ and $y$. Then plot the ordered pairs $(x,y)$ on the graph below by dragging the dots to the correct locations.** \n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nThe terms in sequence $y$ are [[☃ input-number 1]] times the terms in sequence $x$.","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["8","4"],["10","5"],["12","6"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/81/6c622444b33c.json b/data/questions/b7/81/6c622444b33c.json new file mode 100644 index 0000000000..81a591bff8 --- /dev/null +++ b/data/questions/b7/81/6c622444b33c.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/236e5ec455b9b95f4596553cdd50ab16b31681d7","width":425},"correct":{"coords":[[-2,-1],[-2,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/87/4d56bf80348e.json b/data/questions/b7/87/4d56bf80348e.json new file mode 100644 index 0000000000..b5f6929273 --- /dev/null +++ b/data/questions/b7/87/4d56bf80348e.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with additional angles of $30^\\circ$ and $60^\\circ$.**\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[1.64503877711451,3.124261355530921],[11.585703847856298,11.465469750047227],[0.518355860844391,9.513997695047507]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/8d/f5ca57cd5b33.json b/data/questions/b7/8d/f5ca57cd5b33.json new file mode 100644 index 0000000000..0375802a68 --- /dev/null +++ b/data/questions/b7/8d/f5ca57cd5b33.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a88525033e3e18872d8449e501b30ec4199d9ab","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","coords":[[6,-5],[7,-1],[4,-1],[5,-4]],"numSides":4,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/c6/c4416b733eaa.json b/data/questions/b7/c6/c4416b733eaa.json new file mode 100644 index 0000000000..2063c157f7 --- /dev/null +++ b/data/questions/b7/c6/c4416b733eaa.json @@ -0,0 +1 @@ +{"content":"The graph below contains triangle $\\triangle ABP$. \n \n**Draw the image of $\\triangle ABP$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{3}$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the side $\\overline{AB}$ and its image?** \n\n$\\overline{AB}$ is [[☃ input-number 1]] units long, and its image is [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"6"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/564e6eacca35b365c048c30d9909f4c839e3e8d9.png","width":425},"correct":{"coords":[[-2,6],[-2,9],[-4,6]],"numSides":3,"showAngles":false,"type":"polygon"},"graph":{"numSides":3,"showAngles":false,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/cd/5db670e35894.json b/data/questions/b7/cd/5db670e35894.json new file mode 100644 index 0000000000..2e638348d8 --- /dev/null +++ b/data/questions/b7/cd/5db670e35894.json @@ -0,0 +1 @@ +{"content":"$\\triangle{TOP}$ is rotated $-180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/05fa4e5feb0a57f01f5418dd79a4957986aabce0","width":425},"correct":{"coords":[[2,-5],[2,5],[-6,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/d6/a82759b6df1d.json b/data/questions/b7/d6/a82759b6df1d.json new file mode 100644 index 0000000000..9ed657cd4e --- /dev/null +++ b/data/questions/b7/d6/a82759b6df1d.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/af8be92be5a4cac420c1b4dc3024aefb5219297e","width":400},"correct":{"coords":[[-6,7],[5,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/e3/0fe3a937ed4f.json b/data/questions/b7/e3/0fe3a937ed4f.json new file mode 100644 index 0000000000..e3facf7a3c --- /dev/null +++ b/data/questions/b7/e3/0fe3a937ed4f.json @@ -0,0 +1 @@ +{"content":"crwdns3144067:0{CAN}crwdnd3144067:0$ycrwdnd3144067:0{2}crwdnd3144067:0{3}crwdne3144067:0","images":{},"widgets":{"interactive-graph 7":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3870b639dd93c132a6af75b487de911010cc8ae0","width":425},"correct":{"coords":[[-1,7],[8,1],[7,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b7/f2/6dc9cb50aa6f.json b/data/questions/b7/f2/6dc9cb50aa6f.json new file mode 100644 index 0000000000..ff15b0d178 --- /dev/null +++ b/data/questions/b7/f2/6dc9cb50aa6f.json @@ -0,0 +1 @@ +{"content":"The table below shows data from a study on the relationship between the daily amount of water given to the Lafructus plant (in milliliters), and the lifetime plant growth (in centimeters). Suppose scientists used the line $y = 0.5x + 2$ to model growth as a function of water.\n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n****Would an exponential or quadratic model be a better fit for the data?**** [[☃ dropdown 1]] \n\n | | | || |||\n- | - | -\n**Daily water** |$0$ | $1$| $2$ | $3$ | $4$|$5$| $6$\n**Lifetime growth** | $0.5$ | $2$| $3$ | $4$| $4.5$|$5$|$5$ \n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] |[[☃ input-number 7]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-1.5},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-0.5},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"0"},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0.5},"type":"input-number"},"input-number 7":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-1.5],[1,-0.5],[2,0],[3,0.5],[4,0.5],[5,0.5],[6,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/b7/f9/a3526dfb3068.json b/data/questions/b7/f9/a3526dfb3068.json new file mode 100644 index 0000000000..17dad0af7d --- /dev/null +++ b/data/questions/b7/f9/a3526dfb3068.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 6+6i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/0f/f230e1a5ea49.json b/data/questions/b8/0f/f230e1a5ea49.json new file mode 100644 index 0000000000..50ccfa11b1 --- /dev/null +++ b/data/questions/b8/0f/f230e1a5ea49.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(2x^2-9x+7)(x-2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[1,0],[3.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/19/15646e4058d6.json b/data/questions/b8/19/15646e4058d6.json new file mode 100644 index 0000000000..c7384d9eba --- /dev/null +++ b/data/questions/b8/19/15646e4058d6.json @@ -0,0 +1 @@ +{"content":"[Q3] Consider the following trigonometric function:\n\n$\\qquad g(x)=2\\sin\\left(\\dfrac{1}{3}x-\\dfrac{\\pi}{3}\\right)+4$\n\n**Graph $g(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[2,4],[5,6]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/21/a80ea20ec992.json b/data/questions/b8/21/a80ea20ec992.json new file mode 100644 index 0000000000..0abadbeab9 --- /dev/null +++ b/data/questions/b8/21/a80ea20ec992.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=x^2+4x+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-3],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/41/318893199c8d.json b/data/questions/b8/41/318893199c8d.json new file mode 100644 index 0000000000..488d30f728 --- /dev/null +++ b/data/questions/b8/41/318893199c8d.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-36$|$9$|$-4$|$49$|$25$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c1e77d0168fc4d747bc83bb33db236932a5d1fbf","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,-1]],[[-5,0],[5,2]],[[-5,-3],[5,-7]],[[-5,-6],[5,-4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/b8/47/a8774d5b891d.json b/data/questions/b8/47/a8774d5b891d.json new file mode 100644 index 0000000000..eb9eaef050 --- /dev/null +++ b/data/questions/b8/47/a8774d5b891d.json @@ -0,0 +1 @@ +{"content":"**Graph $-2x+y=8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,8],[-4,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/48/1505099f206f.json b/data/questions/b8/48/1505099f206f.json new file mode 100644 index 0000000000..377eb6d93a --- /dev/null +++ b/data/questions/b8/48/1505099f206f.json @@ -0,0 +1 @@ +{"content":"[Q1] Graph the equation $y=x+1$.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":true,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[0,1],[2,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/51/b838b40a93b9.json b/data/questions/b8/51/b838b40a93b9.json new file mode 100644 index 0000000000..c01de7518b --- /dev/null +++ b/data/questions/b8/51/b838b40a93b9.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/21f266aa6e8d5ff2b070d1f6cd560a2a7fb945e4","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,-5],[5,-2],[-5,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/5e/0b890d4536c2.json b/data/questions/b8/5e/0b890d4536c2.json new file mode 100644 index 0000000000..dda73ac88c --- /dev/null +++ b/data/questions/b8/5e/0b890d4536c2.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of days after today, and the $y$-axis represents the temperature forecast in degrees Celsius. The points $(3,7)$ and $(3,-3)$ represent the high and low temperature forecasts of the same day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**What is the difference between the high and the low temperature forecasts?** \n\n[[☃ input-number 1]] degrees Celsius\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,-3],[3,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[0.5,1],"labels":["x (\\text{days})","y (^\\circ\\text{C})"],"markings":"graph","range":[[-2,8],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/60/74868a316dfb.json b/data/questions/b8/60/74868a316dfb.json new file mode 100644 index 0000000000..cb8327e68f --- /dev/null +++ b/data/questions/b8/60/74868a316dfb.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=5\\cos\\left(\\dfrac{\\pi}{2}x-\\dfrac{3\\pi}{2}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4,-2],[3,3]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/73/ec7d8163a630.json b/data/questions/b8/73/ec7d8163a630.json new file mode 100644 index 0000000000..7488d11127 --- /dev/null +++ b/data/questions/b8/73/ec7d8163a630.json @@ -0,0 +1 @@ +{"content":"The graph of the function $h(x)=\\dfrac{1}{2}|x|$ is shown on the grid below.\n\n**Graph the function $f(x)=\\dfrac{1}{2}|x|-9$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":null,"coords":[[0,-9],[2,-8]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54327f5e21dd498ed85911f5404d3c881ee1c036","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/7b/cc4170be73ef.json b/data/questions/b8/7b/cc4170be73ef.json new file mode 100644 index 0000000000..4823b811fc --- /dev/null +++ b/data/questions/b8/7b/cc4170be73ef.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebfe60eb69251f2e94646716bfae9426f843287b","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[2,1],[2,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/7d/df6ac1755a07.json b/data/questions/b8/7d/df6ac1755a07.json new file mode 100644 index 0000000000..cf108eba8f --- /dev/null +++ b/data/questions/b8/7d/df6ac1755a07.json @@ -0,0 +1 @@ +{"content":"crwdns3077834:0$d$crwdnd3077834:0$t$crwdnd3077834:0$3$crwdnd3077834:0$t$crwdnd3077834:0$8$crwdnd3077834:0$d$crwdnd3077834:0$d$crwdnd3077834:0$t$crwdnd3077834:0$1$crwdnd3077834:0$t$crwdnd3077834:0$d$crwdne3077834:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2.6666666666666665"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns3882320:0crwdne3882320:0","crwdns3882319:0crwdne3882319:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/84/c3b53c61ab40.json b/data/questions/b8/84/c3b53c61ab40.json new file mode 100644 index 0000000000..ac8a84f6fd --- /dev/null +++ b/data/questions/b8/84/c3b53c61ab40.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 2|x+3|-5, ~~\\text{Domain}~~[-8,4]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-3"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-5"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-8,5],[-3,-5]],[[4,9],[-3,-5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/b8/a0/86353d327f23.json b/data/questions/b8/a0/86353d327f23.json new file mode 100644 index 0000000000..05e8df99e4 --- /dev/null +++ b/data/questions/b8/a0/86353d327f23.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin\\left(\\dfrac{\\pi}{2} x-\\pi\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[2,3],[3,8]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/ae/1b8a2292dead.json b/data/questions/b8/ae/1b8a2292dead.json new file mode 100644 index 0000000000..7713c20a99 --- /dev/null +++ b/data/questions/b8/ae/1b8a2292dead.json @@ -0,0 +1 @@ +{"content":"crwdns3396753:0{A}crwdnd3396753:0{B}crwdne3396753:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":false},{"content":"crwdns2731610:0crwdne2731610:0","correct":false},{"content":"crwdns2731612:0crwdne2731612:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/64bd2e640a539d42378bb36d23c9c85e154ccf6c.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-0.4121568453174538,6.000000000000001],[4,6],[-0.06052820127584013,1.9394717987241608]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/b1/150edc0d2583.json b/data/questions/b8/b1/150edc0d2583.json new file mode 100644 index 0000000000..8773231842 --- /dev/null +++ b/data/questions/b8/b1/150edc0d2583.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2b614d8edb8dd56b81b5e2e174f0d77dad9e18b5","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[5,-6],[-3,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/b7/01251db6aabc.json b/data/questions/b8/b7/01251db6aabc.json new file mode 100644 index 0000000000..5681187443 --- /dev/null +++ b/data/questions/b8/b7/01251db6aabc.json @@ -0,0 +1 @@ +{"content":"crwdns3458195:0crwdne3458195:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-9,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/c9/e0bbbaa543d9.json b/data/questions/b8/c9/e0bbbaa543d9.json new file mode 100644 index 0000000000..b078066e5c --- /dev/null +++ b/data/questions/b8/c9/e0bbbaa543d9.json @@ -0,0 +1 @@ +{"content":"आलेख पर रेखा खींचे जो संपत्ति के साथ $d$ और $t$ में आनुपातिक संबंध दर्शाती है इस कारण $t$ की $6$ इकाई में वृद्धि $d$ की $7$ इकाई में हुई वृद्धि के समान है\n\n ** $t$ के संबंध में $d$ की परिवर्तन की इकाई दर क्या है? ** (यह है कि, $t$ में परिवर्तन की $1$ इकाई $d$ में परिवर्तन की कितनी इकाई के समान होगी?)\n\n परिवर्तन की इकाई दर [[☃ input-number 1]] हैI \n\n**आलेख पर रेखा बनाएं I **\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1.1666666666666667},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[6,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/ca/727e11ff737b.json b/data/questions/b8/ca/727e11ff737b.json new file mode 100644 index 0000000000..42f69803a8 --- /dev/null +++ b/data/questions/b8/ca/727e11ff737b.json @@ -0,0 +1 @@ +{"content":"Move one endpoint of this line segment as far up and to the right as it will go, and the other as far down and to the left as it will go.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":true,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment"},"correct":{"type":"segment","coords":[[[-9,-9],[9,9]]],"hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[1,1]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/dc/32b0dc7dc3af.json b/data/questions/b8/dc/32b0dc7dc3af.json new file mode 100644 index 0000000000..023f3e2eae --- /dev/null +++ b/data/questions/b8/dc/32b0dc7dc3af.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c55e554779b85c6afbe55f9c5cc57d3681b9d35","width":425},"correct":{"coords":[[7,1],[-5,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/e0/056322c17ba4.json b/data/questions/b8/e0/056322c17ba4.json new file mode 100644 index 0000000000..db6be6d553 --- /dev/null +++ b/data/questions/b8/e0/056322c17ba4.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $PONY$ is rotated $180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3aca0ff794b24ec83d27fd8c58b389ba09f6916f","width":425},"correct":{"coords":[[2,-7],[5,-6],[6,-3],[2,-3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/e5/22437c5402d8.json b/data/questions/b8/e5/22437c5402d8.json new file mode 100644 index 0000000000..62fc416109 --- /dev/null +++ b/data/questions/b8/e5/22437c5402d8.json @@ -0,0 +1 @@ +{"content":"Aidan is participating in an $8$-mile walk for his favorite charity. The walk organizers plotted the course on a coordinate map. The starting point is at $(3,1)$, and the ending point is at $(3,9)$. There's a water station at $(3,7)$ to make sure the walkers stay hydrated.\n\n**Plot the starting point, ending point, and water station on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Aidan be in the walk when he reaches the water station?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":"1","bottom":"4","left":"0","width":0,"height":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","coords":[[3,1],[3,7],[3,9]],"numPoints":3}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"Less than halfway through the walk"},{"correct":false,"content":"Halfway through the walk"},{"content":"More than halfway through the walk","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/b8/e7/66cc4ab5f596.json b/data/questions/b8/e7/66cc4ab5f596.json new file mode 100644 index 0000000000..098ba55da3 --- /dev/null +++ b/data/questions/b8/e7/66cc4ab5f596.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-8)^2+(y+5)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[8,-5],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/f3/d8054124084a.json b/data/questions/b8/f3/d8054124084a.json new file mode 100644 index 0000000000..50acfbf421 --- /dev/null +++ b/data/questions/b8/f3/d8054124084a.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit to the right and $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8acadbc1755d5b492dd2008832bd8380ab0196f8","width":425},"correct":{"coords":[[7,2],[7,6],[-3,7],[-1,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/f7/32c68332fb22.json b/data/questions/b8/f7/32c68332fb22.json new file mode 100644 index 0000000000..ea6f1db339 --- /dev/null +++ b/data/questions/b8/f7/32c68332fb22.json @@ -0,0 +1 @@ +{"content":"\"You seem in need of a puzzle to solve!\" Kitt exclaims, a grin on his handsome face. \"Draw me a square with a quarter of the area of a $12\\text{ cm}$ by $12\\text{ cm}$ square, and make sure you draw it to scale!\"\n\n**Kitt's wish is your command. Draw the square he described by moving the points on the grid below.**\n\n(have the scale on the grid be 3 units to 2 cm)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/f8/e85343f5230d.json b/data/questions/b8/f8/e85343f5230d.json new file mode 100644 index 0000000000..80da38416c --- /dev/null +++ b/data/questions/b8/f8/e85343f5230d.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-3,2)$, and the upper-right coordinates are $(6, 2)$. The rectangle has a perimeter of $30$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[6,-4],[6,2],[-3,2],[-3,-4]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/fd/f8e3f56ef5b9.json b/data/questions/b8/fd/f8e3f56ef5b9.json new file mode 100644 index 0000000000..8f2a701e31 --- /dev/null +++ b/data/questions/b8/fd/f8e3f56ef5b9.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $18$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b8/ff/26860258ff62.json b/data/questions/b8/ff/26860258ff62.json new file mode 100644 index 0000000000..3286906dfd --- /dev/null +++ b/data/questions/b8/ff/26860258ff62.json @@ -0,0 +1 @@ +{"content":"crwdns3368992:0crwdne3368992:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,1],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/12/beedd0882708.json b/data/questions/b9/12/beedd0882708.json new file mode 100644 index 0000000000..3622680933 --- /dev/null +++ b/data/questions/b9/12/beedd0882708.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{1}{3}x^2+2x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-1],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/15/1809a292040a.json b/data/questions/b9/15/1809a292040a.json new file mode 100644 index 0000000000..1bed38b26f --- /dev/null +++ b/data/questions/b9/15/1809a292040a.json @@ -0,0 +1 @@ +{"content":"Sue is a software engineer. She wants to create a large scale drawing of a processor inside a cell phone. The processor is a square chip $9\\text{ mm}$ on each side.\n\n**Draw the processor such that $1$ unit on the grid below represents $\\dfrac{1}{2}\\text{ mm}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[10,-9],[10,9],[-8,9],[-8,-9]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["ẍẋ","ý"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/1f/0004d6336259.json b/data/questions/b9/1f/0004d6336259.json new file mode 100644 index 0000000000..8a73f96664 --- /dev/null +++ b/data/questions/b9/1f/0004d6336259.json @@ -0,0 +1 @@ +{"content":"Elon sat on the dock with his fishing rod, when suddenly he felt the rod being pulled down! He reeled in his catch, causing it to ascend at a constant rate of $0.1$ meters per second. When it reached the water's surface after $35$ seconds, Elon found it was only an old shoe...\n\n**Graph the relationship between the shoe's altitude (in meters relative to the water's surface) and time (in seconds).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[35,0],[40,0.5]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d5edaf15bfe7751fa400f442e1abc55494196e90","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,0.5],"labels":["",""],"markings":"none","range":[[-5,65],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,0.5],"step":[5,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/22/9181359f9c13.json b/data/questions/b9/22/9181359f9c13.json new file mode 100644 index 0000000000..9f6b6613e7 --- /dev/null +++ b/data/questions/b9/22/9181359f9c13.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $TEAM$ is rotated $-180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd7758202a4c57c755f3a2af54bb2826939a745b","width":425},"correct":{"coords":[[2,-3],[-2,-4],[-3,2],[-6,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/33/088a606b0492.json b/data/questions/b9/33/088a606b0492.json new file mode 100644 index 0000000000..eda5168907 --- /dev/null +++ b/data/questions/b9/33/088a606b0492.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $7$ units to the left .**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/49db2125ffedef1806224b9896457f70a529438d","width":425},"correct":{"coords":[[-1,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/3f/6fd30b4dbd90.json b/data/questions/b9/3f/6fd30b4dbd90.json new file mode 100644 index 0000000000..77ef5bbbc4 --- /dev/null +++ b/data/questions/b9/3f/6fd30b4dbd90.json @@ -0,0 +1 @@ +{"content":"**Graph the following exponential function.**\n\n>$g(x)=-12\\cdot4^{\\large x}$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[-1,-3],[0,-12]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,3],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-18,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,1.5],"step":[1,3],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/41/cca8dadcc8f7.json b/data/questions/b9/41/cca8dadcc8f7.json new file mode 100644 index 0000000000..2a12049429 --- /dev/null +++ b/data/questions/b9/41/cca8dadcc8f7.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+6)^2+(y+5)^2=9$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-6,-5],"radius":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/50/427c3e385af5.json b/data/questions/b9/50/427c3e385af5.json new file mode 100644 index 0000000000..8acb9c99ff --- /dev/null +++ b/data/questions/b9/50/427c3e385af5.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -5+8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-5,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/54/d4e84750e076.json b/data/questions/b9/54/d4e84750e076.json new file mode 100644 index 0000000000..a9be9635ab --- /dev/null +++ b/data/questions/b9/54/d4e84750e076.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8bf7cbeff4f1e2d0b258e258c9269c4c985b34e0","width":430},"correct":{"coords":[[-6,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/5e/ce58c8b34048.json b/data/questions/b9/5e/ce58c8b34048.json new file mode 100644 index 0000000000..8ff2a62a49 --- /dev/null +++ b/data/questions/b9/5e/ce58c8b34048.json @@ -0,0 +1 @@ +{"content":"$\\triangle{CAN}$ is reflected over the line $y=-\\dfrac{2}{3}x+2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 7]]","images":{},"widgets":{"interactive-graph 7":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3870b639dd93c132a6af75b487de911010cc8ae0","width":425},"correct":{"coords":[[-1,7],[8,1],[7,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/6c/0408ec9663c9.json b/data/questions/b9/6c/0408ec9663c9.json new file mode 100644 index 0000000000..32743e5ee9 --- /dev/null +++ b/data/questions/b9/6c/0408ec9663c9.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=0.5\\cos\\left(\\dfrac{\\pi}{4}x+\\dfrac{\\pi}{2}\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[0,3],[-2,3.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/79/698d70e83582.json b/data/questions/b9/79/698d70e83582.json new file mode 100644 index 0000000000..359c24cc1a --- /dev/null +++ b/data/questions/b9/79/698d70e83582.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +8x -2y -19=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,1],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/9f/e6a898f5d025.json b/data/questions/b9/9f/e6a898f5d025.json new file mode 100644 index 0000000000..ce4a6e60b3 --- /dev/null +++ b/data/questions/b9/9f/e6a898f5d025.json @@ -0,0 +1 @@ +{"content":"crwdns3354909:0$m$crwdnd3354909:0$z_1$crwdnd3354909:0$z_2$crwdne3354909:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3a1e670475596cf2815b8b00a398bf0217b9ffe7","width":430},"correct":{"coords":[[5,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/b0/64d20cde0ba1.json b/data/questions/b9/b0/64d20cde0ba1.json new file mode 100644 index 0000000000..3618c4c42c --- /dev/null +++ b/data/questions/b9/b0/64d20cde0ba1.json @@ -0,0 +1 @@ +{"content":"Vectors $\\vec{a}$ and $\\vec{b}$ are drawn in the interactive graph below. \n \n**Click to graph the terminal point of the vector obtained by adding $\\vec{a}$ and $\\vec{b}$, whose initial point is the origin.** \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e84e15eda0694fde236ee5cf72b355b5a393a2d9","width":400},"correct":{"coords":[[2,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/b7/5b0e1dca73e1.json b/data/questions/b9/b7/5b0e1dca73e1.json new file mode 100644 index 0000000000..def88a5765 --- /dev/null +++ b/data/questions/b9/b7/5b0e1dca73e1.json @@ -0,0 +1 @@ +{"content":"see that \\small issue in the editor? Note: if you set the widget into points mode (bottom dropdown), the user is unable to select the number of points.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"type":"point"},"graph":{"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/b7/a6a41995bd18.json b/data/questions/b9/b7/a6a41995bd18.json new file mode 100644 index 0000000000..b3f59854ce --- /dev/null +++ b/data/questions/b9/b7/a6a41995bd18.json @@ -0,0 +1 @@ +{"content":"The graph of the function $f(x)=x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=(x-2)^2-4$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2,-4],[4,0]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7bf46935d39daf9af99ee61919b7eb3b2ebc8077","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/bd/6338ccaec6cc.json b/data/questions/b9/bd/6338ccaec6cc.json new file mode 100644 index 0000000000..94858699b9 --- /dev/null +++ b/data/questions/b9/bd/6338ccaec6cc.json @@ -0,0 +1 @@ +{"content":"You’ve just been seated at your favorite Las Vegas buffet. You have $90$ minutes to eat your money’s worth by scarfing down as many plates of food and dessert as you possibly can.\n\nIt takes you $3$ minutes to eat a plate of food. You can eat a plate of dessert in $2$ minutes.\n\n**Write an *inequality* that represents the number of food plates $(F)$ and dessert plates $(D)$ you can finish within the time limit.** \n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $F$ on the horizontal axis and $D$ on the vertical axis.** \n\n[[☃ interactive-graph 1]]\n\n**If you eat $20$ plates of food $(F)$, which of the following numbers of dessert plates $(D)$ can you have without exceeding the time limit and being dragged away by restaurant security?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"3F+2D<=90","form":false,"simplify":false,"considered":"correct","key":0},{"value":"3f+2d\\le90","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[5,5],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["F","D"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,50],[-5,50]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,45],[30,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$12$","correct":true},{"content":"$15$","correct":true},{"content":"$18$","correct":false},{"content":"$20$","correct":false},{"content":"$25$","correct":false}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/c9/2b707761d9bf.json b/data/questions/b9/c9/2b707761d9bf.json new file mode 100644 index 0000000000..1e574cf6c5 --- /dev/null +++ b/data/questions/b9/c9/2b707761d9bf.json @@ -0,0 +1 @@ +{"content":"crwdns3144074:0{SIM}crwdne3144074:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9b7c68fb9350531c023460f4abdc395522536b5a","width":425},"correct":{"coords":[[-1,1],[0,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/d9/eeb918311cd8.json b/data/questions/b9/d9/eeb918311cd8.json new file mode 100644 index 0000000000..ede1a1d54e --- /dev/null +++ b/data/questions/b9/d9/eeb918311cd8.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bdd8f5bd87969b4c1b7eee52f3aeeebd3cc3478e","width":430},"correct":{"coords":[[6,-7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/df/d93b63028857.json b/data/questions/b9/df/d93b63028857.json new file mode 100644 index 0000000000..7bc6f6cf12 --- /dev/null +++ b/data/questions/b9/df/d93b63028857.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b28cea91201e2bf0f941c618adfebc212092273c","width":400},"correct":{"coords":[[4,-2],[4,2],[0,-1],[3,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/e4/2b675dadf0f3.json b/data/questions/b9/e4/2b675dadf0f3.json new file mode 100644 index 0000000000..dae8fde1cd --- /dev/null +++ b/data/questions/b9/e4/2b675dadf0f3.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -5-i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-5,-1]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/e8/1c9645559ef9.json b/data/questions/b9/e8/1c9645559ef9.json new file mode 100644 index 0000000000..c8a320be72 --- /dev/null +++ b/data/questions/b9/e8/1c9645559ef9.json @@ -0,0 +1 @@ +{"content":"**Graph $y=0.4x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The equation represents a proportional relationship.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $0.4$.\n","correct":true},{"content":"The slope of the line is $0.4$.","correct":true},{"content":" A change of $2$ units in $x$ results in a change of $0.2$ units in $y$.","correct":false},{"content":" A change of $3$ units in $x$ results in a change of $1.2$ units in $y$.","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/ea/186344ac2402.json b/data/questions/b9/ea/186344ac2402.json new file mode 100644 index 0000000000..67f9360540 --- /dev/null +++ b/data/questions/b9/ea/186344ac2402.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin\\left(\\dfrac{\\pi}{2} x-\\pi\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[2,3],[3,8]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/ef/b9a52c4157b3.json b/data/questions/b9/ef/b9a52c4157b3.json new file mode 100644 index 0000000000..f374e0e475 --- /dev/null +++ b/data/questions/b9/ef/b9a52c4157b3.json @@ -0,0 +1 @@ +{"content":"crwdns3381073:0{36}crwdnd3381073:0{64}crwdne3381073:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0fccc4815371e370ded34ccc285c811a9233c38a","width":425},"correct":{"coords":[[0,10],[0,-10]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-14,14],[-14,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/f5/4d19e4666081.json b/data/questions/b9/f5/4d19e4666081.json new file mode 100644 index 0000000000..437071f2d6 --- /dev/null +++ b/data/questions/b9/f5/4d19e4666081.json @@ -0,0 +1 @@ +{"content":"crwdns3027434:0$10$crwdnd3027434:0$8$crwdne3027434:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ed35c51ae38dd20d4df0cb3d380891bb3b7bf178","width":400},"correct":{"coords":[[8,18],[8,10],[18,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,19],[-2,19]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/b9/fd/3d386f5be8a0.json b/data/questions/b9/fd/3d386f5be8a0.json new file mode 100644 index 0000000000..e464ce42ac --- /dev/null +++ b/data/questions/b9/fd/3d386f5be8a0.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(\\dfrac{3}{2}, -\\dfrac{3}{2}\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1.5,-1.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/05/facc666a4369.json b/data/questions/ba/05/facc666a4369.json new file mode 100644 index 0000000000..6ba6063336 --- /dev/null +++ b/data/questions/ba/05/facc666a4369.json @@ -0,0 +1 @@ +{"content":"A battery with $20\\%$ of its full capacity is connected to a charger. Every minute that passes, an additional $5\\%$ of its capacity is charged.\n\n**Graph the relationship between the battery's capacity (in $\\%$ charged) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,20],[1,25]],"asymptote":null},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-1,10],[-10,100]],"labels":["Time (minutes)","Capacity (\\%)"],"step":[1,10],"gridStep":[0.5,5],"snapStep":[0.5,2.5],"valid":true,"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/12/769618ed2649.json b/data/questions/ba/12/769618ed2649.json new file mode 100644 index 0000000000..2ecd6b5a97 --- /dev/null +++ b/data/questions/ba/12/769618ed2649.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/61ff8d9fa61c6695f2ceffe7cfba38075db08af4","width":425},"correct":{"coords":[[-7,9],[-7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/13/c450088aea2f.json b/data/questions/ba/13/c450088aea2f.json new file mode 100644 index 0000000000..3853673ab3 --- /dev/null +++ b/data/questions/ba/13/c450088aea2f.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-2,7)$ and has a slope of $4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-2,7],[-3,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/24/a5b4d6a80b7b.json b/data/questions/ba/24/a5b4d6a80b7b.json new file mode 100644 index 0000000000..1c776c26c7 --- /dev/null +++ b/data/questions/ba/24/a5b4d6a80b7b.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/627679bd8f17701f0bb377ad49543dafc3ef4d14","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon"},"correct":{"type":"polygon","coords":[[-2,2],[-2,4],[-5,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/24/d2fb04265d28.json b/data/questions/ba/24/d2fb04265d28.json new file mode 100644 index 0000000000..952b47285b --- /dev/null +++ b/data/questions/ba/24/d2fb04265d28.json @@ -0,0 +1 @@ +{"content":"**बिन्दु को खींच कर $\\left(2,9\\right)$ को आलेखित करें। **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,9]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/27/af61a0f1ea81.json b/data/questions/ba/27/af61a0f1ea81.json new file mode 100644 index 0000000000..34ab49713e --- /dev/null +++ b/data/questions/ba/27/af61a0f1ea81.json @@ -0,0 +1 @@ +{"content":"Plot the vertices of the rectangle with one vertex at the origin, a width of $4$, and a height of $6$.\n\n[[☃ interactive-graph 1]]\n\nWhat is the area of this rectangle?\n\n[[☃ numeric-input 1]] square units","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":true,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":4},"correct":{"type":"point","numPoints":4,"coords":[[0,0],[0,6],[4,6],[4,0]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":24,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/2b/5c64812c44dc.json b/data/questions/ba/2b/5c64812c44dc.json new file mode 100644 index 0000000000..0660830d6c --- /dev/null +++ b/data/questions/ba/2b/5c64812c44dc.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(5,8)$ and $(5,3)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,3],[5,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/3d/aa28f2e23811.json b/data/questions/ba/3d/aa28f2e23811.json new file mode 100644 index 0000000000..56a9988aee --- /dev/null +++ b/data/questions/ba/3d/aa28f2e23811.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{A}$ and goes through point $\\text{B}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/b11da9535dfcfde9c2afc3d87b62051d19f01586.png","width":400},"correct":{"coords":[[-7,-3],[7,3]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/44/0b00b60cd08c.json b/data/questions/ba/44/0b00b60cd08c.json new file mode 100644 index 0000000000..4ebd919154 --- /dev/null +++ b/data/questions/ba/44/0b00b60cd08c.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{1}{5}(x+5)^2-2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-5,-2],[0,-7]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/4b/d9a562648584.json b/data/questions/ba/4b/d9a562648584.json new file mode 100644 index 0000000000..e49d29537c --- /dev/null +++ b/data/questions/ba/4b/d9a562648584.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-3)^2+(y+3)^2=36$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/6a/11187bb8ea5d.json b/data/questions/ba/6a/11187bb8ea5d.json new file mode 100644 index 0000000000..97ea9c4f26 --- /dev/null +++ b/data/questions/ba/6a/11187bb8ea5d.json @@ -0,0 +1 @@ +{"content":"crwdns4115746:0$P$crwdne4115746:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/07a1aef47754b2d28626622d230dee129e00732e","width":425},"correct":{"coords":[[-6,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/6d/3887d8db5a94.json b/data/questions/ba/6d/3887d8db5a94.json new file mode 100644 index 0000000000..c5ec58a758 --- /dev/null +++ b/data/questions/ba/6d/3887d8db5a94.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक ऐसा त्रिभुज बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(0, -4.5), (−7.5, 0), (0,6.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,-4.5],[-7.5,0],[0,6.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/75/a9aaf9e5d2d2.json b/data/questions/ba/75/a9aaf9e5d2d2.json new file mode 100644 index 0000000000..ad42aeb490 --- /dev/null +++ b/data/questions/ba/75/a9aaf9e5d2d2.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=-8|x |+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[0,1],[1,-7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/7a/d348b06cf575.json b/data/questions/ba/7a/d348b06cf575.json new file mode 100644 index 0000000000..01bcb09f58 --- /dev/null +++ b/data/questions/ba/7a/d348b06cf575.json @@ -0,0 +1 @@ +{"content":"**Graph $y=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-5,0],[4,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/7a/df17f9ebf682.json b/data/questions/ba/7a/df17f9ebf682.json new file mode 100644 index 0000000000..6899565f4f --- /dev/null +++ b/data/questions/ba/7a/df17f9ebf682.json @@ -0,0 +1 @@ +{"content":"Igor’s summer job at the frozen yogurt shop paid him the following amounts in his first three days on the job (he got paid the same hourly rate every day).\n\n |Day $1$|Day $2$|Day $3$\n-:|-:|-:|-:\nHours worked|$6$|$9$|$7$\nAmount paid|$\\$57.00$|$\\$85.50$|$\\$66.50$\n\n**What is Igor's *unit rate* of change of dollars with respect to time; that is, how much is he paid for *one* hour worked? **\n\nThe unit rate is [[☃ input-number 1]] dollars per hour.\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":9.5},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[1,9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/91/7799a70806ef.json b/data/questions/ba/91/7799a70806ef.json new file mode 100644 index 0000000000..978da86260 --- /dev/null +++ b/data/questions/ba/91/7799a70806ef.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/af8be92be5a4cac420c1b4dc3024aefb5219297e","width":400},"correct":{"coords":[[-6,7],[5,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/9f/691a1032f1de.json b/data/questions/ba/9f/691a1032f1de.json new file mode 100644 index 0000000000..669a31da6a --- /dev/null +++ b/data/questions/ba/9f/691a1032f1de.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{4}{3}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{4}{3}$ units in $y$.\n\n**Graph the line and write the equation of the line.**\n\n[[☃ interactive-graph 1]]\n\nThe equation is [[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=4/3x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,8],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/a5/8eb84a23ef21.json b/data/questions/ba/a5/8eb84a23ef21.json new file mode 100644 index 0000000000..3446cb4206 --- /dev/null +++ b/data/questions/ba/a5/8eb84a23ef21.json @@ -0,0 +1 @@ +{"content":"crwdns6419935:0$pcrwdnd6419935:0$x$crwdne6419935:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-2,0],[1,0],[3,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/ba/6c9339556e17.json b/data/questions/ba/ba/6c9339556e17.json new file mode 100644 index 0000000000..3f83e77462 --- /dev/null +++ b/data/questions/ba/ba/6c9339556e17.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\sin\\left(\\dfrac{\\pi}{8}x\\right)+7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/de/a28eb0d2e7e1.json b/data/questions/ba/de/a28eb0d2e7e1.json new file mode 100644 index 0000000000..c011a5b408 --- /dev/null +++ b/data/questions/ba/de/a28eb0d2e7e1.json @@ -0,0 +1 @@ +{"content":"crwdns5529405:0:-:crwdnd5529405:0:-:crwdnd5529405:0:-:crwdnd5529405:0:-:crwdnd5529405:0$8$crwdnd5529405:0$16$crwdnd5529405:0$24$crwdnd5529405:0$5$crwdnd5529405:0$8$crwdnd5529405:0$10$crwdne5529405:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[8,5],[16,8],[24,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns5529403:0{Chicken wings}crwdne5529403:0","crwdns3213038:0{Price}crwdne3213038:0"],"markings":"graph","range":[[-2,25],[-1,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2693864:0crwdne2693864:0","correct":false},{"content":"crwdns2693863:0crwdne2693863:0","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ba/e6/09f5c7c3c2b6.json b/data/questions/ba/e6/09f5c7c3c2b6.json new file mode 100644 index 0000000000..3212c9a8de --- /dev/null +++ b/data/questions/ba/e6/09f5c7c3c2b6.json @@ -0,0 +1 @@ +{"content":"**The quadrilateral shown in the graph is transformed by matrix $R$. Plot the resulting quadrilateral.** \n\n$R=\\left[\\begin{array} {ccc}\n-0.25 & -0.75 \\\\\n0.75 & -0.25 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/03f55fe5535b342fdbf5338c1c58ce5aa1c088fb","width":425},"correct":{"coords":[[3,-4],[3,6],[-3,4],[-3,-6]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/e8/eac8a2b87cb9.json b/data/questions/ba/e8/eac8a2b87cb9.json new file mode 100644 index 0000000000..6a8d515273 --- /dev/null +++ b/data/questions/ba/e8/eac8a2b87cb9.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=5(x+1)^2-3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-3],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/ea/6facfce7c310.json b/data/questions/ba/ea/6facfce7c310.json new file mode 100644 index 0000000000..943ec4ede3 --- /dev/null +++ b/data/questions/ba/ea/6facfce7c310.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{B}$, and the other line goes through points $\\text{B}$ and $\\text{C}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":true},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":false},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":false},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/4d3bf0050ff62ecf215d41990fdf3be6c2b71152.png","width":400},"correct":{"coords":[[[8,-8],[6,8]],[[-8,6],[6,8]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/ee/d93393c98893.json b/data/questions/ba/ee/d93393c98893.json new file mode 100644 index 0000000000..9daa3ed60d --- /dev/null +++ b/data/questions/ba/ee/d93393c98893.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_3(2-x)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[2,-10],[2,10]],"coords":[[1,0],[-1,3]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ba/fa/bd12854b6637.json b/data/questions/ba/fa/bd12854b6637.json new file mode 100644 index 0000000000..1b246a64e7 --- /dev/null +++ b/data/questions/ba/fa/bd12854b6637.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x +2y +41=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[7,-1],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/05/8f81a9c12eae.json b/data/questions/bb/05/8f81a9c12eae.json new file mode 100644 index 0000000000..cb6c491128 --- /dev/null +++ b/data/questions/bb/05/8f81a9c12eae.json @@ -0,0 +1 @@ +{"content":"**The pentagon shown in the graph is transformed by matrix $R$. Plot the resulting pentagon.** \n\n$R=\\left[\\begin{array} {ccc}\n-0.75 & 0 \\\\\n0 & -0.75 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ae97ce6f39028d801dba7d48fbf62fd1a2de380d","width":425},"correct":{"coords":[[0,-3],[3,-6],[6,0],[6,3],[3,3]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/0c/21e56dccb5b5.json b/data/questions/bb/0c/21e56dccb5b5.json new file mode 100644 index 0000000000..6cfb587a0d --- /dev/null +++ b/data/questions/bb/0c/21e56dccb5b5.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=6(x+7)^2-1.5$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-7,-1.5],[-6.5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-6.5},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-7.5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/0f/e4d04a7b4b7c.json b/data/questions/bb/0f/e4d04a7b4b7c.json new file mode 100644 index 0000000000..b85e99479d --- /dev/null +++ b/data/questions/bb/0f/e4d04a7b4b7c.json @@ -0,0 +1 @@ +{"content":"The four corners of a square are located at the points $(1,8)$, $(7,8)$, $(1,2)$, and $(7,2)$.\n\n\n**Plot the four corners of the square on the coordinate plane below.**\n\n[[☃ interactive-graph 1]] \n\n**How long is each side of the square?** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,2],[1,8],[7,8],[7,2]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/13/3694b11a8ad1.json b/data/questions/bb/13/3694b11a8ad1.json new file mode 100644 index 0000000000..4c5f0cf319 --- /dev/null +++ b/data/questions/bb/13/3694b11a8ad1.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{5}x^2+2x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[5,1],[0,-4]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/23/732eca0f0dba.json b/data/questions/bb/23/732eca0f0dba.json new file mode 100644 index 0000000000..babb862153 --- /dev/null +++ b/data/questions/bb/23/732eca0f0dba.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9accfb93d8f5a2c86387841a2a938dddfa6aeda6","width":425},"correct":{"coords":[[0,-3],[4,-3],[-7,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/38/e00f3788b3be.json b/data/questions/bb/38/e00f3788b3be.json new file mode 100644 index 0000000000..c6a1248ea3 --- /dev/null +++ b/data/questions/bb/38/e00f3788b3be.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y+7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/48/8eb6c849601f.json b/data/questions/bb/48/8eb6c849601f.json new file mode 100644 index 0000000000..753fa04a16 --- /dev/null +++ b/data/questions/bb/48/8eb6c849601f.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(-7,0)$.** \n$$ \n\n\n\n[[☃ image 1]]\n\n**What is located $6$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled A is 2 units to the left of and 2 units up from the origin. A solid point, labeled B, is 7 units to the right of and 4 units down from the origin. A solid point labeled C is 7 units to the left of and 6 units down from the origin.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/abb7badd6d905be6a59bd5e3f7411f460ec8abb0","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":false},{"content":"Point $C$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/59/844da7725ee0.json b/data/questions/bb/59/844da7725ee0.json new file mode 100644 index 0000000000..9a6f4ce24e --- /dev/null +++ b/data/questions/bb/59/844da7725ee0.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=2x^2+12x+10$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-3,-8],[-1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-8},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/59/abfa1c615f17.json b/data/questions/bb/59/abfa1c615f17.json new file mode 100644 index 0000000000..c29904cee7 --- /dev/null +++ b/data/questions/bb/59/abfa1c615f17.json @@ -0,0 +1 @@ +{"content":"**Construct a $180^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/8ba9a1c7fe79fdc1624d2769481c3ff6ad505501.png":{"height":79,"width":403}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/5b/6fb535fd1102.json b/data/questions/bb/5b/6fb535fd1102.json new file mode 100644 index 0000000000..e4d70ea3ec --- /dev/null +++ b/data/questions/bb/5b/6fb535fd1102.json @@ -0,0 +1 @@ +{"content":"crwdns6902076:0$gcrwdnd6902076:0{5}crwdnd6902076:0{5}crwdne6902076:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-2,-3],[0.5,0]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/65/5964c26d1abe.json b/data/questions/bb/65/5964c26d1abe.json new file mode 100644 index 0000000000..833e4564ea --- /dev/null +++ b/data/questions/bb/65/5964c26d1abe.json @@ -0,0 +1 @@ +{"content":"Igor’s summer job at the frozen yogurt shop paid him the following amounts in his first three days on the job (he got paid the same hourly rate every day).\n\n |Day $1$|Day $2$|Day $3$\n-:|-:|-:|-:\nHours worked|$6$|$9$|$7$\nAmount paid|$\\$57.00$|$\\$85.50$|$\\$66.50$\n\n**What is Igor's *unit rate* of change of dollars with respect to time; that is, how much is he paid for *one* hour worked? **\n\nThe unit rate is [[☃ input-number 1]] dollars per hour.\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9.5"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/69/6a81b39f75b9.json b/data/questions/bb/69/6a81b39f75b9.json new file mode 100644 index 0000000000..2c678f659b --- /dev/null +++ b/data/questions/bb/69/6a81b39f75b9.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points $A$ and $C$ to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/668d416edbfdf5e3c31d3ad849d03611b79a3a47","width":400},"correct":{"coords":[[[2,6],[6,5]],[[2,0],[6,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/6a/0bec2f77568d.json b/data/questions/bb/6a/0bec2f77568d.json new file mode 100644 index 0000000000..864f3f63c1 --- /dev/null +++ b/data/questions/bb/6a/0bec2f77568d.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n-0.4x-9 & , & -10\\leq x<-5 \\\\\\\\\n2.5x+5.5 & , & -5\\leq x<-1\\\\\\\\\n{\\dfrac{10}{35}}x+{\\dfrac{115}{35}} & , &-1\\leq x<6\\\\\\\\\n-x+11 & , & 6\\leq x\\leq 10\\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[10,1],[6,5]],[[-1,3],[6,5]],[[-5,-7],[-1,3]],[[-10,-5],[-5,-7]]],"numSegments":4,"type":"segment"},"graph":{"numSegments":4,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/6c/b08371e65070.json b/data/questions/bb/6c/b08371e65070.json new file mode 100644 index 0000000000..c8119975ac --- /dev/null +++ b/data/questions/bb/6c/b08371e65070.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-6,0)$, and the upper-right coordinates are $(-4,0)$. The rectangle has an area of $12$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"height":425,"width":440}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-4,-6],[-4,0],[-6,0],[-6,-6]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/77/8a75776a36c6.json b/data/questions/bb/77/8a75776a36c6.json new file mode 100644 index 0000000000..0603616d82 --- /dev/null +++ b/data/questions/bb/77/8a75776a36c6.json @@ -0,0 +1 @@ +{"content":"crwdns2954633:0$y$crwdnd2954633:0$x$crwdnd2954633:0$ycrwdnd2954633:0$5$crwdnd2954633:0$7$crwdnd2954633:0$x$crwdnd2954633:0$y$crwdnd2954633:0:-:crwdnd2954633:0$1$crwdnd2954633:0$2$crwdnd2954633:0$2$crwdnd2954633:0$4$crwdnd2954633:0$3$crwdnd2954633:0$6$crwdnd2954633:0$4$crwdnd2954633:0$8$crwdne2954633:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[5,10],[7,14]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,17],[-1,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/7c/ee7e47b2cec3.json b/data/questions/bb/7c/ee7e47b2cec3.json new file mode 100644 index 0000000000..b559608ff5 --- /dev/null +++ b/data/questions/bb/7c/ee7e47b2cec3.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c41fb049d4d9011616344958c8e7075fe32c6384","width":425},"correct":{"coords":[[-1,3],[-7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/80/faca6f606557.json b/data/questions/bb/80/faca6f606557.json new file mode 100644 index 0000000000..21d1838027 --- /dev/null +++ b/data/questions/bb/80/faca6f606557.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=3\\cos(\\pi x+4\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[-3.5,2],[-4,5]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/9a/d5525d0bb7e8.json b/data/questions/bb/9a/d5525d0bb7e8.json new file mode 100644 index 0000000000..37387a33db --- /dev/null +++ b/data/questions/bb/9a/d5525d0bb7e8.json @@ -0,0 +1 @@ +{"content":"crwdns3897369:0crwdne3897369:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[-2,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/9a/ed4f7f5fa805.json b/data/questions/bb/9a/ed4f7f5fa805.json new file mode 100644 index 0000000000..251f308ec6 --- /dev/null +++ b/data/questions/bb/9a/ed4f7f5fa805.json @@ -0,0 +1 @@ +{"content":"crwdns6420151:0$pcrwdnd6420151:0$x$crwdne6420151:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[-2.5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/a2/c33b5654a157.json b/data/questions/bb/a2/c33b5654a157.json new file mode 100644 index 0000000000..838d028479 --- /dev/null +++ b/data/questions/bb/a2/c33b5654a157.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $3$, नियम: $3$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $6$, नियम: $6$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,6],[6,12],[9,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["3","6"],["6","12"],["9","18"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/a7/4861666bd5e9.json b/data/questions/bb/a7/4861666bd5e9.json new file mode 100644 index 0000000000..8e31b4712c --- /dev/null +++ b/data/questions/bb/a7/4861666bd5e9.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-1|+3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[1,3],[0,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/b3/e17272d4c747.json b/data/questions/bb/b3/e17272d4c747.json new file mode 100644 index 0000000000..09bc99a4be --- /dev/null +++ b/data/questions/bb/b3/e17272d4c747.json @@ -0,0 +1 @@ +{"content":"An office building has the shape of a right rectangular prism with width $20$ meters, length $40$ meters, and height $60$ meters.\n\n![sky scraper](https://ka-perseus-graphie.s3.amazonaws.com/f388ad536b6ffce43eeefc376654ab275c1a3d4b.png)\n\n**Drag the corners of the square below to draw the shape of one floor of the building.**\n\n[[☃ interactive-graph 1]] ","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f388ad536b6ffce43eeefc376654ab275c1a3d4b.png":{"height":350,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[55,30],[55,50],[15,50],[15,30]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"grid","range":[[0,60],[0,60]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/b4/580d32f9d1e3.json b/data/questions/bb/b4/580d32f9d1e3.json new file mode 100644 index 0000000000..6250c29d87 --- /dev/null +++ b/data/questions/bb/b4/580d32f9d1e3.json @@ -0,0 +1 @@ +{"content":"You are a software engineer. You want to create a large scale drawing of a processor inside a cell phone. The processor is a rectangular chip with side lengths $9.5\\text{ mm}$ and $7.5\\text{ mm}$.\n\n**Create a scale drawing of the processor using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[14,3.5],[14,13],[6.5,13],[6.5,3.5]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,20],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/c6/97a7c2804d51.json b/data/questions/bb/c6/97a7c2804d51.json new file mode 100644 index 0000000000..78ca866af1 --- /dev/null +++ b/data/questions/bb/c6/97a7c2804d51.json @@ -0,0 +1 @@ +{"content":"The animal shelter wants to build its new location halfway between the towns of Springfield and Greenville. Springfield is located at $(10,3)$ on the map below. Greenville is located at $(10,11)$. \n\n**Plot Springfield, Greenville, and the new shelter on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the animal shelter build its new location?** \n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[10,3],[10,7],[10,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/d2/c809441b261e.json b/data/questions/bb/d2/c809441b261e.json new file mode 100644 index 0000000000..8fbbb10ae1 --- /dev/null +++ b/data/questions/bb/d2/c809441b261e.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{5}{16}(x -1)(x -9)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[5,-5],[1,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/de/deb32ad6bbc1.json b/data/questions/bb/de/deb32ad6bbc1.json new file mode 100644 index 0000000000..2d820c108b --- /dev/null +++ b/data/questions/bb/de/deb32ad6bbc1.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-\\log_2(x+2)$.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm","exponential"],"correct":{"asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/df/319fc44f6120.json b/data/questions/bb/df/319fc44f6120.json new file mode 100644 index 0000000000..257bd45ec6 --- /dev/null +++ b/data/questions/bb/df/319fc44f6120.json @@ -0,0 +1 @@ +{"content":"Asha lives at $2^{\\text{nd}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(2,11)$ on the map below. She and her sister decide to walk to the ice cream shop at $5^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(5, 4)$ on the map. They head down $2^{\\text{nd}}$ Avenue then over on $4^{\\text{th}}$ Street. \n\n**Plot Asha's home and the ice cream shop on the map.** \n\n[[☃ interactive-graph 1]]\n\n**How many blocks do they walk to get to the ice cream shop?** \n[[☃ input-number 1]] blocks\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,11],[5,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/e8/9bc0cce3fbfb.json b/data/questions/bb/e8/9bc0cce3fbfb.json new file mode 100644 index 0000000000..9802187150 --- /dev/null +++ b/data/questions/bb/e8/9bc0cce3fbfb.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $ROSE$ after the rotation $R_{180^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/6e6557e0ce93a46f0e0bc10f8b2d16e609195fdd.png","width":425},"correct":{"coords":[[6,-5],[7,-2],[3,-2],[4,-5]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/bb/e8/e7b06499eda4.json b/data/questions/bb/e8/e7b06499eda4.json new file mode 100644 index 0000000000..985252c351 --- /dev/null +++ b/data/questions/bb/e8/e7b06499eda4.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x -7,y +1)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5a891fab50b9f3973c6cb8f989b71a29076540fd","width":425},"correct":{"coords":[[-1,-4],[-2,-3],[-2,-1],[-7,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/e9/99d392bac61d.json b/data/questions/bb/e9/99d392bac61d.json new file mode 100644 index 0000000000..3c960fe60c --- /dev/null +++ b/data/questions/bb/e9/99d392bac61d.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $0.4.$ In other words, a change of $1$ unit in $x$ corresponds to a change of $0.4$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=0.4x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,2],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/ed/5dac13e49e87.json b/data/questions/bb/ed/5dac13e49e87.json new file mode 100644 index 0000000000..834fe5a89e --- /dev/null +++ b/data/questions/bb/ed/5dac13e49e87.json @@ -0,0 +1 @@ +{"content":"Yuna's favorite type of cheese crackers has $30$ crackers for each serving.\n\n**Complete the table for the given ratio.** \n \nServings, $x$ | Crackers, $y$ \n:-: | :-: \n$1$ | $30$\n$2$| [[☃ numeric-input 3]]\n$3$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,30],[2,60],[3,90]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"graph","range":[[-1,7],[-2,95]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":60}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":90}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bb/f2/c175f4aeff5c.json b/data/questions/bb/f2/c175f4aeff5c.json new file mode 100644 index 0000000000..f82a44f1c3 --- /dev/null +++ b/data/questions/bb/f2/c175f4aeff5c.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=5(x-1)^2-5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-5],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/06/ba8f89eee54f.json b/data/questions/bc/06/ba8f89eee54f.json new file mode 100644 index 0000000000..20820bcaae --- /dev/null +++ b/data/questions/bc/06/ba8f89eee54f.json @@ -0,0 +1 @@ +{"content":"crwdns3415423:0$7$crwdne3415423:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"box":[340,340],"correct":{"coords":[[6.75,1.5],[3.25,5],[-0.25,1.5]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"editableSettings":["graph","snap","image","measure"],"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/21/2fca3c34461e.json b/data/questions/bc/21/2fca3c34461e.json new file mode 100644 index 0000000000..d7bb26fa89 --- /dev/null +++ b/data/questions/bc/21/2fca3c34461e.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+5)^2+(y+2)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-5,-2],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/2a/490b3677296c.json b/data/questions/bc/2a/490b3677296c.json new file mode 100644 index 0000000000..5927fc090e --- /dev/null +++ b/data/questions/bc/2a/490b3677296c.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{3}x-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-4],[3,-2]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/2b/dc16ca2beae1.json b/data/questions/bc/2b/dc16ca2beae1.json new file mode 100644 index 0000000000..5817d70794 --- /dev/null +++ b/data/questions/bc/2b/dc16ca2beae1.json @@ -0,0 +1 @@ +{"content":"crwdns6902044:0$hcrwdne6902044:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[3,-5],[1,-3]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/2e/a0eb3fcb5fe9.json b/data/questions/bc/2e/a0eb3fcb5fe9.json new file mode 100644 index 0000000000..9ccf84bb8e --- /dev/null +++ b/data/questions/bc/2e/a0eb3fcb5fe9.json @@ -0,0 +1 @@ +{"content":"crwdns3362755:0$ycrwdnd3362755:0$ycrwdnd3362755:0$fcrwdne3362755:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3657b0ffa470ced789a22bb01d807d30ef6df90b","width":400},"correct":{"coords":[[-3,1],[-1,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/3c/11f92bd558e2.json b/data/questions/bc/3c/11f92bd558e2.json new file mode 100644 index 0000000000..10d7afd546 --- /dev/null +++ b/data/questions/bc/3c/11f92bd558e2.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(9,5)$ and $(3,5)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,5],[9,5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/52/e992e95a4a3a.json b/data/questions/bc/52/e992e95a4a3a.json new file mode 100644 index 0000000000..378a304039 --- /dev/null +++ b/data/questions/bc/52/e992e95a4a3a.json @@ -0,0 +1 @@ +{"content":"Savannah used $10$ beads to make herself a necklace. She decided to make necklaces for her friends and used $5$ beads in each of those necklaces. In the graph below, $f$ represents the number of necklaces Savannah made for friends, and $b$ represents the beads she used all together.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$b = 5f + 10$\n\n\n**Plot points on the graph that show the number of beads Savannah will use by making $2$ and $4$ necklaces.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[2,20],[4,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["\\text{Necklaces}","\\text{Beads}"],"markings":"graph","range":[[-1,10],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/59/5a1121752aed.json b/data/questions/bc/59/5a1121752aed.json new file mode 100644 index 0000000000..6744ac7995 --- /dev/null +++ b/data/questions/bc/59/5a1121752aed.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $3$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $6$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,6],[6,12],[9,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/66/10682e7067eb.json b/data/questions/bc/66/10682e7067eb.json new file mode 100644 index 0000000000..5aef48a46d --- /dev/null +++ b/data/questions/bc/66/10682e7067eb.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-8)^2+(y+5)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[8,-5],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/8e/44d070597b10.json b/data/questions/bc/8e/44d070597b10.json new file mode 100644 index 0000000000..e7f26fb3dc --- /dev/null +++ b/data/questions/bc/8e/44d070597b10.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x+5|-5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-5,-5],[0,0]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/8f/c6c32950e79e.json b/data/questions/bc/8f/c6c32950e79e.json new file mode 100644 index 0000000000..22e54fe3d3 --- /dev/null +++ b/data/questions/bc/8f/c6c32950e79e.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{OG}$ is rotated $180^\\circ$ about the point $(-2,4)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/567155d84afcfa01baf0a44afd994fce3df17b5c","width":425},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/9b/546cc686ab6e.json b/data/questions/bc/9b/546cc686ab6e.json new file mode 100644 index 0000000000..db4f70f7cd --- /dev/null +++ b/data/questions/bc/9b/546cc686ab6e.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map line segment $\\overline{OP}$ onto the other line segment below.**\n\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/782236777816fea74794c3cd46ce4eac3dc07dba","width":425},"correct":{"coords":[[0,2],[1,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/9e/da5874f9c008.json b/data/questions/bc/9e/da5874f9c008.json new file mode 100644 index 0000000000..896b058108 --- /dev/null +++ b/data/questions/bc/9e/da5874f9c008.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.** \n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad890555ac526c555001d95c5f605f104f592753","width":425},"correct":{"coords":[[7,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/a5/89cd29367b81.json b/data/questions/bc/a5/89cd29367b81.json new file mode 100644 index 0000000000..85db6e274f --- /dev/null +++ b/data/questions/bc/a5/89cd29367b81.json @@ -0,0 +1 @@ +{"content":"**Select the best interpretation of the following equation.**\n\n$\\qquad \\left\\lvert11 - y\\right\\rvert = 3$\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The distance between $3$ and $y$ is $11$.","correct":false},{"content":"The distance between $3$ and $11$ is $y$.","correct":false},{"content":"The distance between $11$ and $y$ is $3$.","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/a9/941b0130dd60.json b/data/questions/bc/a9/941b0130dd60.json new file mode 100644 index 0000000000..d40253d519 --- /dev/null +++ b/data/questions/bc/a9/941b0130dd60.json @@ -0,0 +1 @@ +{"content":"crwdns5528753:0$0.2$crwdnd5528753:0$15$crwdne5528753:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[10,1],[15,0]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a50a3a3c361522c8e3251ac2bc923dad74ccd7eb","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,0.25],"labels":["",""],"markings":"none","range":[[-2,20],[-0.5,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,0.25],"step":[2,0.5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/e2/bfcf518022f5.json b/data/questions/bc/e2/bfcf518022f5.json new file mode 100644 index 0000000000..fd6735e086 --- /dev/null +++ b/data/questions/bc/e2/bfcf518022f5.json @@ -0,0 +1 @@ +{"content":"crwdns3462887:0$ycrwdne3462887:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-3],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/eb/84a2ee617ddf.json b/data/questions/bc/eb/84a2ee617ddf.json new file mode 100644 index 0000000000..ed5e8442ce --- /dev/null +++ b/data/questions/bc/eb/84a2ee617ddf.json @@ -0,0 +1 @@ +{"content":"crwdns3389870:0$R$crwdnd3389870:0$Rcrwdnd3389870:0{array}crwdnd3389870:0{ccc}crwdnd3389870:0{array}crwdne3389870:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3729cfcbc3d29222e7b91c6c75978a953d55a8da","width":425},"correct":{"coords":[[2,6],[6,3],[3,-1],[0,0],[-2,4]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/f6/fd5e211f3b46.json b/data/questions/bc/f6/fd5e211f3b46.json new file mode 100644 index 0000000000..6176f1632f --- /dev/null +++ b/data/questions/bc/f6/fd5e211f3b46.json @@ -0,0 +1 @@ +{"content":"crwdns4070169:0$gcrwdne4070169:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[6,2],[7,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bc/ff/40c8b6a0bdfc.json b/data/questions/bc/ff/40c8b6a0bdfc.json new file mode 100644 index 0000000000..67ee0f7c6b --- /dev/null +++ b/data/questions/bc/ff/40c8b6a0bdfc.json @@ -0,0 +1 @@ +{"content":"crwdns3354594:0$z_1-z_2$crwdne3354594:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/024bfc510627906fb2cfac604ac16cbd5c5de07c","width":430},"correct":{"coords":[[8,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/02/355561c65502.json b/data/questions/bd/02/355561c65502.json new file mode 100644 index 0000000000..aae39c2318 --- /dev/null +++ b/data/questions/bd/02/355561c65502.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=3f(x)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"up","correct":false},{"content":"down","correct":true}],"placeholder":"up/down","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"right","correct":true},{"content":"left","correct":false}],"placeholder":"right/left","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false,"isNoneOfTheAbove":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/bd/06/6b9fd10bae80.json b/data/questions/bd/06/6b9fd10bae80.json new file mode 100644 index 0000000000..583b582f1c --- /dev/null +++ b/data/questions/bd/06/6b9fd10bae80.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-2)^2+y^2=49$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,0],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/12/456e64b280f3.json b/data/questions/bd/12/456e64b280f3.json new file mode 100644 index 0000000000..cf13ad3745 --- /dev/null +++ b/data/questions/bd/12/456e64b280f3.json @@ -0,0 +1 @@ +{"content":"crwdns3457585:0crwdne3457585:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/13/8c5db7062098.json b/data/questions/bd/13/8c5db7062098.json new file mode 100644 index 0000000000..aced876ae9 --- /dev/null +++ b/data/questions/bd/13/8c5db7062098.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3c7be8f22da433d6b6f5c601e6541d6b0bbde8b3","width":425},"correct":{"coords":[[7,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/1b/b54ad052322b.json b/data/questions/bd/1b/b54ad052322b.json new file mode 100644 index 0000000000..e790fb5633 --- /dev/null +++ b/data/questions/bd/1b/b54ad052322b.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a quadrilateral with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":"unlimited","snapTo":"grid"},"correct":{"type":"polygon","numSides":"unlimited","coords":[[6.5,0],[0,6.5],[-7.5,0],[0,-4.5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/2b/36de89f14047.json b/data/questions/bd/2b/36de89f14047.json new file mode 100644 index 0000000000..d38b8645d7 --- /dev/null +++ b/data/questions/bd/2b/36de89f14047.json @@ -0,0 +1 @@ +{"content":"crwdns3137629:0{A}crwdnd3137629:0{B}crwdnd3137629:0{C}crwdne3137629:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dafa0bb473a65dc7d0afb9e678fed9fb54226775":{"height":425,"width":440}},"widgets":{"interaction 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6":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{},{}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"table 1":{"graded":true,"options":{"answers":[[""],[""],[""],[""]],"columns":1,"headers":[""],"rows":4},"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/4b/1680de469959.json b/data/questions/bd/4b/1680de469959.json new file mode 100644 index 0000000000..b513b557a0 --- /dev/null +++ b/data/questions/bd/4b/1680de469959.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $0$. Then add $7$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$3$ | [[☃ numeric-input 1]]\n$5$ | [[☃ numeric-input 2]]\n$7$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7],[5,7],[7,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/56/716f7f4c0bc5.json b/data/questions/bd/56/716f7f4c0bc5.json new file mode 100644 index 0000000000..497ebf80d2 --- /dev/null +++ b/data/questions/bd/56/716f7f4c0bc5.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x +2y +41=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[7,-1],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/58/38a67993fd06.json b/data/questions/bd/58/38a67993fd06.json new file mode 100644 index 0000000000..950c6a88f0 --- /dev/null +++ b/data/questions/bd/58/38a67993fd06.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $2$, Rule: add $3$\n\nPattern $y$: Starting number: $2$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$2$ | $2$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,2],[5,5],[8,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/65/e379c17447e1.json b/data/questions/bd/65/e379c17447e1.json new file mode 100644 index 0000000000..83887f38d3 --- /dev/null +++ b/data/questions/bd/65/e379c17447e1.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8407f413edfec31cf9186446bc5adf93f7707586","width":430},"correct":{"coords":[[3,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/8a/600c5e08fc1b.json b/data/questions/bd/8a/600c5e08fc1b.json new file mode 100644 index 0000000000..fb3e109170 --- /dev/null +++ b/data/questions/bd/8a/600c5e08fc1b.json @@ -0,0 +1 @@ +{"content":"**Construct a $35^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/0c5cb6794a494c00353580d505daea2b306880e9.png":{"height":198,"width":374},"https://ka-perseus-images.s3.amazonaws.com/b20a059f8f157f0e48bfe7ecaee5d40a38822976.png":{"height":161,"width":215}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[2.8061354926511557,6.017776983877903]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/97/c9a48c464aa1.json b/data/questions/bd/97/c9a48c464aa1.json new file mode 100644 index 0000000000..ef16085639 --- /dev/null +++ b/data/questions/bd/97/c9a48c464aa1.json @@ -0,0 +1 @@ +{"content":"crwdns5520747:0$y$crwdnd5520747:0$x$crwdnd5520747:0$y$crwdnd5520747:0$x$crwdnd5520747:0{5}crwdnd5520747:0{3}crwdnd5520747:0$1$crwdnd5520747:0$x$crwdnd5520747:0{5}crwdnd5520747:0{3}crwdnd5520747:0$y$crwdne5520747:0","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=5/3x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,5],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/97/e6667f564188.json b/data/questions/bd/97/e6667f564188.json new file mode 100644 index 0000000000..17ea8b552e --- /dev/null +++ b/data/questions/bd/97/e6667f564188.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -2x-4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":[[0,-4],[1,-6]]},"gridStep":[1,1],"snapStep":[1,1],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/99/44892eaf6b83.json b/data/questions/bd/99/44892eaf6b83.json new file mode 100644 index 0000000000..19e2979427 --- /dev/null +++ b/data/questions/bd/99/44892eaf6b83.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad -4x-15y=30$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-2],[-7.5,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/a2/69ac0569eb49.json b/data/questions/bd/a2/69ac0569eb49.json new file mode 100644 index 0000000000..72c4ccf879 --- /dev/null +++ b/data/questions/bd/a2/69ac0569eb49.json @@ -0,0 +1 @@ +{"content":"**Graph $y=4\\cos\\left(\\dfrac{1}{5}x\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 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1":{"alignment":"block","graded":true,"options":{"location":"","static":false},"static":false,"type":"video","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/aa/34a2a625d983.json b/data/questions/bd/aa/34a2a625d983.json new file mode 100644 index 0000000000..8e4ea748f2 --- /dev/null +++ b/data/questions/bd/aa/34a2a625d983.json @@ -0,0 +1 @@ +{"content":"**बिन्दु को खींच कर $\\left(\\dfrac{3}{2},-\\dfrac{3}{2}\\right)$ को आलेखित करें। **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1.5,-1.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/ab/a4638f338a91.json b/data/questions/bd/ab/a4638f338a91.json new file mode 100644 index 0000000000..7b5f6b9459 --- /dev/null +++ b/data/questions/bd/ab/a4638f338a91.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1, 4)$, and the upper-right coordinates are $(3, 4)$. The rectangle has a perimeter of $24$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[3,-4],[3,4],[-1,4],[-1,-4]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/b6/2940bd5a1f67.json b/data/questions/bd/b6/2940bd5a1f67.json new file mode 100644 index 0000000000..254f43e413 --- /dev/null +++ b/data/questions/bd/b6/2940bd5a1f67.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $3$ units to the right and $1$ unit up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e52cd48b77e052c2510aa7756e65a78b2f809e4b","width":425},"correct":{"coords":[[7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/cf/5abbee3a1d57.json b/data/questions/bd/cf/5abbee3a1d57.json new file mode 100644 index 0000000000..298ad697ac --- /dev/null +++ b/data/questions/bd/cf/5abbee3a1d57.json @@ -0,0 +1 @@ +{"content":"Elena works for a non-profit organization that remodels neighborhood gardens to give them more reliable access to fresh produce. She is sketching a proposal.\n\nIn Elena’s sketch below, the green triangle, $\\triangle{ABC}$, represents the original garden. She is using the center of dilation labeled G with a scale factor of $\\dfrac{3}{4}$ to design a remodeled garden that is the same shape as the original.\n\n**Draw the remodeled garden, $\\triangle{DEF}$.**\n\n[[☃ interactive-graph 1]]\n\n","widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"graph":{"type":"polygon","startCoords":[[2,-1],[0,2],[-2,-1]],"showAngles":false,"showSides":false,"snapTo":"grid"},"valid":true,"correct":{"type":"polygon","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"showAngles":false,"showSides":false,"coords":[[-5,0],[-2,3],[4,0]],"snapTo":"grid"},"lockedFigures":[{"type":"point","coord":[-2,0],"color":"grayH","filled":true},{"type":"polygon","points":[[-6,0],[-2,4],[6,0]],"color":"green","showVertices":false,"fillStyle":"none","strokeStyle":"solid"}]},"type":"interactive-graph","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/bd/d5/57ab6a3e4819.json b/data/questions/bd/d5/57ab6a3e4819.json new file mode 100644 index 0000000000..e4f4aeb84a --- /dev/null +++ b/data/questions/bd/d5/57ab6a3e4819.json @@ -0,0 +1 @@ +{"content":"crwdns3380949:0$2.5$crwdne3380949:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,0],"radius":2.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/de/5594a68107ca.json b/data/questions/bd/de/5594a68107ca.json new file mode 100644 index 0000000000..8f3c978c0a --- /dev/null +++ b/data/questions/bd/de/5594a68107ca.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(-5, 9), (0, 9), (8, 0), (8, -7), (0, -7), (-5, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,9],[0,9],[8,0],[8,-7],[0,-7],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/bd/e6/c0ffa019e52b.json b/data/questions/bd/e6/c0ffa019e52b.json new file mode 100644 index 0000000000..0b9018e629 --- /dev/null +++ b/data/questions/bd/e6/c0ffa019e52b.json @@ -0,0 +1 @@ +{"content":"Enrique earns $10$ points for each question that he answers correctly on a geography test.\n\n**Write an equation for the number of points, $y$, Enrique scores on the test when he answers $x$ questions correctly.**\n\n[[☃ expression 2]]\n\n\nOn his first geography test, Enrique answered $3$ questions correctly. On his second test, Enrique answered $7$ questions correctly.\n\n**Place points on the graph to show Enrique's first and second geography test.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=10x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,30],[7,70]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["□","□"],"markings":"graph","range":[[-1,11],[-1,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/eb/fa7afe991769.json b/data/questions/bd/eb/fa7afe991769.json new file mode 100644 index 0000000000..2ccd2c52c3 --- /dev/null +++ b/data/questions/bd/eb/fa7afe991769.json @@ -0,0 +1 @@ +{"content":"crwdns3209070:0crwdne3209070:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/31eb6c4f83e061ca7e28bb4382469cb4d682f7b4.png","width":425},"correct":{"coords":[[4,7],[0,4],[4,4]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/bd/ec/9d17b9053dba.json b/data/questions/bd/ec/9d17b9053dba.json new file mode 100644 index 0000000000..3aa1e36438 --- /dev/null +++ b/data/questions/bd/ec/9d17b9053dba.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/689653e9bcb37dff51549267892e880751e32b7e","width":430},"correct":{"coords":[[-2,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bd/f2/4d9daccded5a.json b/data/questions/bd/f2/4d9daccded5a.json new file mode 100644 index 0000000000..b575fec4fc --- /dev/null +++ b/data/questions/bd/f2/4d9daccded5a.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nMariah bought a membership to the pool. Consider the relationship between the number of days Mariah swims and the total cost.\n\n\n\n**Fill in the table with the missing values. The total price should include the price of the subscription.\n** \n\n\nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the days Mariah swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/5b3eda7037bca879d535b20d27a5c7d263ffcc9f.png":{"height":435,"width":434}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":439,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ece1090760799daa30bdcacc7806dc4d1e4e151","width":439},"correct":{"coords":[[10,30],[20,40]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**□□□**. □□□ □□□□□□□□□□□□ □□ □□□□□□□□□□□□.","correct":false},{"content":"**□□**. □□□ □□□□□□□□□□□□ □□ □□□ □□□□□□□□□□□□.","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/0a/7a4f98d909bb.json b/data/questions/be/0a/7a4f98d909bb.json new file mode 100644 index 0000000000..bab218ddde --- /dev/null +++ b/data/questions/be/0a/7a4f98d909bb.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42d82e5f734e964a977bb1c3a4973a71d2c0205f","width":425},"correct":{"coords":[[-3,-6],[-2,-3],[-4,-2],[-5,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/0f/8844977bc94a.json b/data/questions/be/0f/8844977bc94a.json new file mode 100644 index 0000000000..70992beb23 --- /dev/null +++ b/data/questions/be/0f/8844977bc94a.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -4+2i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-4,2]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/12/4ab2d256644d.json b/data/questions/be/12/4ab2d256644d.json new file mode 100644 index 0000000000..76861cda4e --- /dev/null +++ b/data/questions/be/12/4ab2d256644d.json @@ -0,0 +1 @@ +{"content":"crwdns4033782:0$4$crwdnd4033782:0$2$crwdnd4033782:0$1$crwdne4033782:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6828e6b1035f3905c52c4a4add96109677da4504":{"height":170,"width":170},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9ffb413c84d77b7a6297cd29607c0f33a66b100":{"height":170,"width":170}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c5af0e94821f5919f7d23a73697d145a48e371cf","width":400},"correct":{"coords":[[4,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3395458:0crwdne3395458:0","correct":true},{"content":"crwdns3395460:0crwdne3395460:0","correct":false},{"content":"crwdns3198517:0crwdne3198517:0","correct":false,"isNoneOfTheAbove":false},{"content":"crwdns3198520:0crwdne3198520:0","correct":false,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/be/20/2aa9301d5c7e.json b/data/questions/be/20/2aa9301d5c7e.json new file mode 100644 index 0000000000..422d8261c2 --- /dev/null +++ b/data/questions/be/20/2aa9301d5c7e.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-2)^2+y^2=49$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[2,0],"radius":7}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/29/f49ca2be3771.json b/data/questions/be/29/f49ca2be3771.json new file mode 100644 index 0000000000..c163b70fb5 --- /dev/null +++ b/data/questions/be/29/f49ca2be3771.json @@ -0,0 +1 @@ +{"content":"crwdns3389867:0$R$crwdnd3389867:0$Rcrwdnd3389867:0{array}crwdnd3389867:0{ccc}crwdnd3389867:0{array}crwdne3389867:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f0f688df89626f8fa49972d22c51ee114cf7e9f0","width":425},"correct":{"coords":[[-1,-6],[1,-6],[2,0],[0,3],[-2,0]],"numSides":5,"snapTo":"grid","type":"polygon"},"graph":{"numSides":5,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/36/1c0cdd003efb.json b/data/questions/be/36/1c0cdd003efb.json new file mode 100644 index 0000000000..61a094e0aa --- /dev/null +++ b/data/questions/be/36/1c0cdd003efb.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1, 4)$, and the upper-right coordinates are $(3, 4)$. The rectangle has a perimeter of $24$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,-4],[3,4],[-1,4],[-1,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/36/7da0603971d6.json b/data/questions/be/36/7da0603971d6.json new file mode 100644 index 0000000000..47e78a3cd3 --- /dev/null +++ b/data/questions/be/36/7da0603971d6.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7daad6e18d785918d6de5a2c5ac69902cddc0404","width":430},"correct":{"coords":[[7,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/41/1ca21b1e0b2a.json b/data/questions/be/41/1ca21b1e0b2a.json new file mode 100644 index 0000000000..f456306876 --- /dev/null +++ b/data/questions/be/41/1ca21b1e0b2a.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=2-7i$ \n* $ w=4-3i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]]$.$\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4.5},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[2,-7],[3,-5],[-2,-4],[4,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/48/72b0d076f95b.json b/data/questions/be/48/72b0d076f95b.json new file mode 100644 index 0000000000..5b804fb168 --- /dev/null +++ b/data/questions/be/48/72b0d076f95b.json @@ -0,0 +1 @@ +{"content":"crwdns4192081:0$6$crwdnd4192081:0$20$crwdnd4192081:0$220$crwdne4192081:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[15,190],[20,220]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/329b8ad3b68275b69539cd42272e1121a062967c","width":400},"editableSettings":["graph","snap","image"],"gridStep":[2.5,10],"labels":["",""],"markings":"none","range":[[-5,30],[-20,250]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,10],"step":[5,20],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/58/45bc685dd9d4.json b/data/questions/be/58/45bc685dd9d4.json new file mode 100644 index 0000000000..500fdf159d --- /dev/null +++ b/data/questions/be/58/45bc685dd9d4.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{3}{2}(x+8)(x+4)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,6],[-8,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/66/9650dd34f316.json b/data/questions/be/66/9650dd34f316.json new file mode 100644 index 0000000000..16974a595e --- /dev/null +++ b/data/questions/be/66/9650dd34f316.json @@ -0,0 +1 @@ +{"content":"Plot this graph at: [-9,9],[-4,1],[9,-2] \n\n [[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[-9,9],[-4,1],[9,-2]],"type":"quadratic"},"graph":{"type":"quadratic"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/6b/41d9c609b4be.json b/data/questions/be/6b/41d9c609b4be.json new file mode 100644 index 0000000000..b50b0cc519 --- /dev/null +++ b/data/questions/be/6b/41d9c609b4be.json @@ -0,0 +1 @@ +{"content":"Match the segment to the dotted segment in the background.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[3,8],[8,8]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"labels":["x","y"],"lockedFigures":[{"color":"green","coord":[-9,9],"filled":true,"type":"point"},{"color":"blue","kind":"segment","lineStyle":"solid","points":[{"color":"blue","coord":[3,8],"filled":true,"type":"point"},{"color":"blue","coord":[8,8],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"angle":0,"center":[0,2],"color":"purple","fillStyle":"none","radius":[1,1],"strokeStyle":"solid","type":"ellipse"},{"color":"pink","points":[[-2,-2],[-4,-4]],"type":"vector"},{"color":"orange","fillStyle":"none","points":[[5,-3],[4,-5],[6,-5]],"showVertices":false,"strokeStyle":"solid","type":"polygon"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/74/e3b9383b0268.json b/data/questions/be/74/e3b9383b0268.json new file mode 100644 index 0000000000..88343138bb --- /dev/null +++ b/data/questions/be/74/e3b9383b0268.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=x^2-4x+5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,1],[0,5]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/7f/0cd9a18e4294.json b/data/questions/be/7f/0cd9a18e4294.json new file mode 100644 index 0000000000..aa3994c518 --- /dev/null +++ b/data/questions/be/7f/0cd9a18e4294.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y=3x-5}$\n\n$\\qquad\\pink{2y+4x=5}$\n\n**Create a new equation by substituting $y$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"x=1.5"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d4fffe26289e230ad00030b8b819a90c99dfa2c0.png","width":425},"correct":{"coords":[[1.5,4.5],[1.5,-7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/8d/c0c9cfba2c21.json b/data/questions/be/8d/c0c9cfba2c21.json new file mode 100644 index 0000000000..43da41c0a3 --- /dev/null +++ b/data/questions/be/8d/c0c9cfba2c21.json @@ -0,0 +1 @@ +{"content":"crwdns4070498:0$gcrwdne4070498:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,-8],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/8e/cfa783c6e6c2.json b/data/questions/be/8e/cfa783c6e6c2.json new file mode 100644 index 0000000000..b0aa02a1a1 --- /dev/null +++ b/data/questions/be/8e/cfa783c6e6c2.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6e834c3703876b88680734fb85b73bd56c6174e1","width":430},"correct":{"coords":[[-5.5,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/93/fe7464d23260.json b/data/questions/be/93/fe7464d23260.json new file mode 100644 index 0000000000..c202fe2ad5 --- /dev/null +++ b/data/questions/be/93/fe7464d23260.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(8,-5)$, $(3\\dfrac12,0)$, and $(-6,-4)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-4],[8,-5],[3.5,0]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/aa/30607efca156.json b/data/questions/be/aa/30607efca156.json new file mode 100644 index 0000000000..a103c225b2 --- /dev/null +++ b/data/questions/be/aa/30607efca156.json @@ -0,0 +1 @@ +{"content":"**बिन्दु को खींच कर $\\left(-6,-4\\right)$ को आलेखित करें। **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-6,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/c9/08a6e42bb31d.json b/data/questions/be/c9/08a6e42bb31d.json new file mode 100644 index 0000000000..e97981f995 --- /dev/null +++ b/data/questions/be/c9/08a6e42bb31d.json @@ -0,0 +1 @@ +{"content":"The graph of the function $g(x)=-|x|$ is shown on the grid below.\n\n**Graph the function $h(x)=-|x+2|+3$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":[],"coords":[[-2,3],[-1,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/afe07e9646262eac3c611186b7314c8bf65af027","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/cb/57b4bf401638.json b/data/questions/be/cb/57b4bf401638.json new file mode 100644 index 0000000000..805bcca0a3 --- /dev/null +++ b/data/questions/be/cb/57b4bf401638.json @@ -0,0 +1 @@ +{"content":"**Graph $y=3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-6,3],[4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/d1/0f20ad2bc5a9.json b/data/questions/be/d1/0f20ad2bc5a9.json new file mode 100644 index 0000000000..e8f0c33d4f --- /dev/null +++ b/data/questions/be/d1/0f20ad2bc5a9.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=2(x+1)(x-1)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-2],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/ee/4176c8b49244.json b/data/questions/be/ee/4176c8b49244.json new file mode 100644 index 0000000000..3466ab561e --- /dev/null +++ b/data/questions/be/ee/4176c8b49244.json @@ -0,0 +1 @@ +{"content":"Jalen drew $2$ of the same rectangle with an area of $6$ square units. She turned one sideways.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $3$ units long.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e8421531b9f3607fe3c3764d0939550de3b60dd8","width":400},"correct":{"coords":[[3,-1],[3,0],[-3,0],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/ee/7d02dbb557ce.json b/data/questions/be/ee/7d02dbb557ce.json new file mode 100644 index 0000000000..eeb642a8b8 --- /dev/null +++ b/data/questions/be/ee/7d02dbb557ce.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$1.4$|$2.8$|$4.2$|$5.6$\n$y$|$0$|$1$|$2$|$3$|$4$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.7142857142857143},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/be/fd/a450bb11a46a.json b/data/questions/be/fd/a450bb11a46a.json new file mode 100644 index 0000000000..b8c919ae05 --- /dev/null +++ b/data/questions/be/fd/a450bb11a46a.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2\\sin\\left(\\dfrac{\\pi}{10}x\\right)-7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-7],[5,-5]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/14/ab984a2d2d6f.json b/data/questions/bf/14/ab984a2d2d6f.json new file mode 100644 index 0000000000..22404d1a42 --- /dev/null +++ b/data/questions/bf/14/ab984a2d2d6f.json @@ -0,0 +1 @@ +{"content":"crwdns6970412:0$zcrwdnd6970412:0$z$crwdne6970412:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[3,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/22/74543e08ec49.json b/data/questions/bf/22/74543e08ec49.json new file mode 100644 index 0000000000..b3baf911ce --- /dev/null +++ b/data/questions/bf/22/74543e08ec49.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ac7f013eb28eb7af13e4bd5e5bdf9f19c5fccd69","width":425},"correct":{"coords":[[5,-8],[5,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/2e/b89c02624539.json b/data/questions/bf/2e/b89c02624539.json new file mode 100644 index 0000000000..978287901f --- /dev/null +++ b/data/questions/bf/2e/b89c02624539.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nThe cost to park in the downtown parking lot depends on the number of hours you park your car for. \n\n| | |\n- | :-: | :-:| :-:| :-:\nHours parked | $1$ | $5$| $12$ \nCost (in dollars) | $4$ | $10$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the cost of parking proportional to the number of hours parked?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Hours}$","$\\text{Cost}$"],"showProtractor":false,"showTooltips":false,"range":[[-2,22],[-2,22]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[1,4],[5,10],[12,15]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/bf/33/750ba5e3cee4.json b/data/questions/bf/33/750ba5e3cee4.json new file mode 100644 index 0000000000..e2f3f0b615 --- /dev/null +++ b/data/questions/bf/33/750ba5e3cee4.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $2$, नियम: $3$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $2$, नियम: $3$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,2],[5,5],[8,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["2","2"],["5","5"],["8","8"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/36/e9ae784592a2.json b/data/questions/bf/36/e9ae784592a2.json new file mode 100644 index 0000000000..8b8bb376bf --- /dev/null +++ b/data/questions/bf/36/e9ae784592a2.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=-0.5(x+4)^2+6$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-4,6],[0,-2]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/3b/724fe5c1771d.json b/data/questions/bf/3b/724fe5c1771d.json new file mode 100644 index 0000000000..6f0c6c3b1a --- /dev/null +++ b/data/questions/bf/3b/724fe5c1771d.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Add $5$ to $x$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$2$ | [[☃ numeric-input 1]]\n$3$ | [[☃ numeric-input 2]]\n$4$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,7],[3,8],[4,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/44/65cc6f579dff.json b/data/questions/bf/44/65cc6f579dff.json new file mode 100644 index 0000000000..d6114505d4 --- /dev/null +++ b/data/questions/bf/44/65cc6f579dff.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d285c1870f0fbdea9bc75096c628b3992ad821e","width":430},"correct":{"coords":[[7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/53/1cf9c40c4b1a.json b/data/questions/bf/53/1cf9c40c4b1a.json new file mode 100644 index 0000000000..41288be118 --- /dev/null +++ b/data/questions/bf/53/1cf9c40c4b1a.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad 6x-22y=33$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-1.5],[5.5,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/53/6cb8737a75bf.json b/data/questions/bf/53/6cb8737a75bf.json new file mode 100644 index 0000000000..acfd8bff5d --- /dev/null +++ b/data/questions/bf/53/6cb8737a75bf.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $8$, $15$, and $17$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.329896834046583,4.941176470588228],[3.3298968224860417,19.941176464422607],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/54/018d47287d12.json b/data/questions/bf/54/018d47287d12.json new file mode 100644 index 0000000000..e06c32c4c7 --- /dev/null +++ b/data/questions/bf/54/018d47287d12.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(0, 9), (8, 0), (8, -7), (-3,-5),(-5, 0), (-5, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-5],[-5,0],[-5,9],[0,9],[8,0],[8,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/54/76df2cf3c687.json b/data/questions/bf/54/76df2cf3c687.json new file mode 100644 index 0000000000..749b162964 --- /dev/null +++ b/data/questions/bf/54/76df2cf3c687.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a rhombus with an acute angle at $(0, 3)$, another vertex at $(3,7)$, side length of $5$ units, and two sides parallel to the $x$-axis.** \n\nDraw the rhombus in the first quadrant.\n\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7],[0,3],[5,3],[8,7]],"match":"exact","numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/54/ea942b225b9a.json b/data/questions/bf/54/ea942b225b9a.json new file mode 100644 index 0000000000..0110271b7d --- /dev/null +++ b/data/questions/bf/54/ea942b225b9a.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $10$, $24$, and $26.$**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.209493269066344,-1.319053443751842],[-6.900855032808261,22.18754479187196],[-5.779587214272669,-1.786248368141674]],"match":"similar","showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/59/57bc30dd6490.json b/data/questions/bf/59/57bc30dd6490.json new file mode 100644 index 0000000000..32042eee07 --- /dev/null +++ b/data/questions/bf/59/57bc30dd6490.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{D}$, and the other line goes through points $\\text{B}$ and $\\text{C}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/6a5f70a361f0f1baeef61eee6726eef944176663.png","width":400},"correct":{"coords":[[[-7,7],[7,-3]],[[-3,-7],[0,-2]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/5d/595f86a28352.json b/data/questions/bf/5d/595f86a28352.json new file mode 100644 index 0000000000..e0ef4a94d8 --- /dev/null +++ b/data/questions/bf/5d/595f86a28352.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{2}{3}x-4\n\\\\\\\\\ny=4x+6\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,12]],"gridStep":[1,1],"snapStep":[1,0.5],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":false,"range":[[-10,10],[-10,12]],"snapStep":[1,0.5],"coords":[[[0,6],[-1,2]],[[0,-4],[3,-2]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-3,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-6,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/6a/1b9bf8750c51.json b/data/questions/bf/6a/1b9bf8750c51.json new file mode 100644 index 0000000000..5018b28e5d --- /dev/null +++ b/data/questions/bf/6a/1b9bf8750c51.json @@ -0,0 +1 @@ +{"content":"[[☃ image 1]]\n**This passage is adapted from Martin Luther King, Jr.’s “Beyond Vietnam” speech. As the [[☃ definition 1]] escalated in 1967, King—America’s leading civil rights activist—delivered a speech about America’s involvement in the war.** \n\nAnd some of us who have already begun to break the silence of the night have found that the calling to speak is often a [[☃ definition 2]] of agony, but we must speak. We must speak with all the humility that is appropriate to our limited vision, but we must speak. And we must rejoice as well, for surely this is the first time in our nation's history that a significant number of its religious leaders have chosen to move beyond smooth patriotism to the high grounds of a firm _dissent_ based upon the [[☃ definition 3]] of conscience and the reading of history. Perhaps a new spirit is rising among us. \n\n\n[[☃ explanation 2]]\n\n**As used in the passage, *dissent* most nearly means \\_\\_\\_\\.**\n\n[[☃ radio 1]]\n\n[[☃ explanation 1]]\n\n","images":{},"widgets":{"definition 1":{"alignment":"default","graded":true,"options":{"definition":"The Vietnam War (1961–1975) was originally a war between North and South Vietnam, though allies of both nations quickly got involved. The U.S. entered the war in 1965 on behalf of South Vietnam.\n","static":false,"togglePrompt":"Vietnam War"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"definition 2":{"alignment":"default","graded":true,"options":{"definition":"vo·ca·tion (voh-KAY-shun): a job or career that someone feels strongly called to do\n","static":false,"togglePrompt":"vocation"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"definition 3":{"alignment":"default","graded":true,"options":{"definition":"man·dates (man-DATES): orders or commands\n","static":false,"togglePrompt":"mandates"},"static":false,"type":"definition","version":{"major":0,"minor":0}},"explanation 1":{"alignment":"default","graded":true,"options":{"explanation":"Text source: Text is excerpted from “Beyond Vietnam: A Time to Break the Silence” (1963)by Martin Luther King, © Estate of Martin Luther King, Jr.\n\nPublic domain image provided by the Minnesota Historical Society ","hidePrompt":"Hide attribution","showPrompt":"Attribution","static":false,"widgets":{}},"static":false,"type":"explanation","version":{"major":0,"minor":0}},"explanation 2":{"alignment":"default","graded":true,"options":{"explanation":"Historical passages often include language that is unfamiliar, figurative, or formal. Try to use context clues to connect unfamiliar words with words that you *do* know.","hidePrompt":"Ok—got it!","showPrompt":"Reading tip!","static":false,"widgets":{}},"static":false,"type":"explanation","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"Martin Luther King, Jr. speaks against the Vietnam War in 1967","backgroundImage":{"height":876,"url":"https://cdn.kastatic.org/ka-content-images/54d4218cb7684f5fe28fedf6daae89b134b85513.png","width":1276},"box":[1276,876],"caption":"Martin Luther King, Jr. speaks against the Vietnam War in 1967","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"clue":"This isn’t the meaning of *dissent*. The speech focuses on the need to speak out against the Vietnam War. In this sentence, King praises religious leaders for being willing to express “a firm dissent.” If *dissent* meant “acceptance,” King would be praising leaders for supporting the war, which is the opposite of his meaning. \n","content":"acceptance\n","correct":false},{"clue":"**This is the best choice.** The speech focuses on the need to speak out against the Vietnam War. King praises religious leaders who have “moved beyond smooth patriotism” and are willing to express “a firm dissent.” That is, he is praising leaders who express strong opposition to the war. *Opposition* is the best synonym of *dissent* in the context of the speech. \n","content":"opposition\n","correct":true},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” *Scarcity* means “a lack of something.” It wouldn’t make sense for King to praise people who express “a firm lack of something.”\n","content":"scarcity\n","correct":false},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” It wouldn’t make sense for King to praise people who express “a firm gratitude” for the war because King is opposed to the war.\n","content":"gratitude","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/bf/74/64602adc8d8a.json b/data/questions/bf/74/64602adc8d8a.json new file mode 100644 index 0000000000..b5e840133d --- /dev/null +++ b/data/questions/bf/74/64602adc8d8a.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 8i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/7c/0ae03885910c.json b/data/questions/bf/7c/0ae03885910c.json new file mode 100644 index 0000000000..dfb3f75bc2 --- /dev/null +++ b/data/questions/bf/7c/0ae03885910c.json @@ -0,0 +1 @@ +{"content":"Desmond fabricates a tiny microchip. It is square in shape, measuring $7.5$ millimeters on each side.\n\n**Draw Desmond's chip to scale on the grid below.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/6b26442bc495ccd3ba886f4e22d96c2d645a6c79.png","width":400},"correct":{"coords":[[8,-8],[8,7],[-7,7],[-7,-8]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/8d/237b209a6b8c.json b/data/questions/bf/8d/237b209a6b8c.json new file mode 100644 index 0000000000..f6f4cd5eb1 --- /dev/null +++ b/data/questions/bf/8d/237b209a6b8c.json @@ -0,0 +1 @@ +{"content":"Jessica works in sales. Her monthly salary is calculated as a base amount of $\\$2000$ plus a commission of $\\$100$ for each sale she closes. Assume $x$ represents the number of sales Jessica closes and $y$ represents her monthly salary.\n\n**Draw the graph which represents Jessica's monthly salary as a function of the number of sales.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,2000],[2,2200]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-1,11],[-200,3000]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,200]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/93/6042d072961e.json b/data/questions/bf/93/6042d072961e.json new file mode 100644 index 0000000000..e2327583af --- /dev/null +++ b/data/questions/bf/93/6042d072961e.json @@ -0,0 +1 @@ +{"content":"crwdns3897510:0crwdne3897510:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2ecbb186c9758ec80dcb3563f14eadcffe8960be","width":425},"correct":{"coords":[[-1,-2],[3,-2],[-6,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/b8/45988a5c4ef9.json b/data/questions/bf/b8/45988a5c4ef9.json new file mode 100644 index 0000000000..9c89229e3c --- /dev/null +++ b/data/questions/bf/b8/45988a5c4ef9.json @@ -0,0 +1 @@ +{"content":"crwdns6902070:0$fcrwdne6902070:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-5.5,4],[-6,7]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/be/8cf3e3499e03.json b/data/questions/bf/be/8cf3e3499e03.json new file mode 100644 index 0000000000..5cc8995fc6 --- /dev/null +++ b/data/questions/bf/be/8cf3e3499e03.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(4,6)$, and which has the point $(2,6)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[4,6],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/cb/f60308e05eed.json b/data/questions/bf/cb/f60308e05eed.json new file mode 100644 index 0000000000..c63fe3d29c --- /dev/null +++ b/data/questions/bf/cb/f60308e05eed.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the triangle by connecting two black points.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f63ceb348f447318484b079be697d96c9b7f112e.png","width":400},"correct":{"coords":[[-6,-6],[7,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/cc/d03e829bdce5.json b/data/questions/bf/cc/d03e829bdce5.json new file mode 100644 index 0000000000..fb9696dc92 --- /dev/null +++ b/data/questions/bf/cc/d03e829bdce5.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-6)$ and has a slope of $\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-5,-6],[-2,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/d0/f4acc83d75a0.json b/data/questions/bf/d0/f4acc83d75a0.json new file mode 100644 index 0000000000..d7175aa4e3 --- /dev/null +++ b/data/questions/bf/d0/f4acc83d75a0.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2(x-2)^2+2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,2],[1,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/d4/70ae0557ca4a.json b/data/questions/bf/d4/70ae0557ca4a.json new file mode 100644 index 0000000000..dac320d9e4 --- /dev/null +++ b/data/questions/bf/d4/70ae0557ca4a.json @@ -0,0 +1 @@ +{"content":"Mr. Mole's burrow lies $5$ meters below the ground. He started digging his way deeper into the ground, descending $3$ meters each minute.\n\n**Graph the relationship between Mr. Mole's elevation relative to the ground (in meters) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[0,-5],[5,-20]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/693a087dbce7225c826c0d6a5f9679e47b247451","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,2.5],"labels":["",""],"markings":"none","range":[[-2,20],[-50,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,2.5],"step":[2,5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/d7/34fff69202a2.json b/data/questions/bf/d7/34fff69202a2.json new file mode 100644 index 0000000000..33102c7daa --- /dev/null +++ b/data/questions/bf/d7/34fff69202a2.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{3}{2}x-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-3],[2,-6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/e2/5a508ad9310b.json b/data/questions/bf/e2/5a508ad9310b.json new file mode 100644 index 0000000000..a972c0dcfd --- /dev/null +++ b/data/questions/bf/e2/5a508ad9310b.json @@ -0,0 +1 @@ +{"content":"crwdns3508056:0$A$crwdnd3508056:0$x$crwdne3508056:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/118f998cb8acce2412f76f7a8319861a76f711e7","width":400},"correct":{"coords":[[-1,-2]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/e6/14d0af866199.json b/data/questions/bf/e6/14d0af866199.json new file mode 100644 index 0000000000..daf7d7e56d --- /dev/null +++ b/data/questions/bf/e6/14d0af866199.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a quadratic function with domain $x<3$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A ray of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is an open unfilled circle at the point (3, 3). There is a curve from this point to the left that travels up to the point (negative 2, 8) and then back down to the bottom left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/18c385f0fffaf55e20e323186a5edc53536a2f6a)","correct":true},{"content":"![A ray of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (3, 3). There is a curve from this point to the left that travels up to the point (negative 2, 8) and then back down to the bottom left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/87d2e481a7434919c4d243891e63cd4ad5d92a52)","correct":false},{"content":"![A ray of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is an open unfilled circle at the point (4, negative 2). There is a curve from this point to the left that travels up to the point (negative 1, 3) and then back down to the bottom left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2b77fe8a0c3fe353b10f138dc19bae473a0c9227)","correct":false,"isNoneOfTheAbove":false},{"content":"![A ray of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (4, negative 2). There is a curve from this point to the left that travels up to the point (negative 1, 3) and then back down to the bottom left edge of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa445881baec9a1e8869234ebf7a17571aaa0c69)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/bf/f1/6e49a5a7d93d.json b/data/questions/bf/f1/6e49a5a7d93d.json new file mode 100644 index 0000000000..d2fe79e6d7 --- /dev/null +++ b/data/questions/bf/f1/6e49a5a7d93d.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ELM}$ is rotated $-90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/971be79578e3693dd1d595ce2b7dcb6c2863862a","width":425},"correct":{"coords":[[7,-6],[-3,-7],[2,-3]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/bf/f7/2b173617f2d7.json b/data/questions/bf/f7/2b173617f2d7.json new file mode 100644 index 0000000000..435e6c6c56 --- /dev/null +++ b/data/questions/bf/f7/2b173617f2d7.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(9,6)$, $(9,2)$, $(3,2)$, and $(3,6)$.\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the length of the longer side of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3,2],[9,2],[3,6],[9,6]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/20/63fbb02f487f.json b/data/questions/c0/20/63fbb02f487f.json new file mode 100644 index 0000000000..b8642b0848 --- /dev/null +++ b/data/questions/c0/20/63fbb02f487f.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{2}{3}x^2+4x+4$\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,-2],[0,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/23/4c48f70052aa.json b/data/questions/c0/23/4c48f70052aa.json new file mode 100644 index 0000000000..301d967fe4 --- /dev/null +++ b/data/questions/c0/23/4c48f70052aa.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y-5)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[0,5],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/2c/692fda9734e7.json b/data/questions/c0/2c/692fda9734e7.json new file mode 100644 index 0000000000..e846cf283b --- /dev/null +++ b/data/questions/c0/2c/692fda9734e7.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units left and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e376d0836392c8a6bf859b136de3e4ecb2986fcb","width":425},"correct":{"coords":[[1,-1],[1,5],[-3,7],[-4,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/2f/82a30934d8ea.json b/data/questions/c0/2f/82a30934d8ea.json new file mode 100644 index 0000000000..ce9999cc41 --- /dev/null +++ b/data/questions/c0/2f/82a30934d8ea.json @@ -0,0 +1 @@ +{"content":"crwdns3381070:0{900}crwdnd3381070:0{1600}crwdne3381070:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d110bda5799fea6f5d4f828790d61ba68865bb1a","width":425},"correct":{"coords":[[50,0],[-50,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/5d/7bc9270d8833.json b/data/questions/c0/5d/7bc9270d8833.json new file mode 100644 index 0000000000..6e12c43552 --- /dev/null +++ b/data/questions/c0/5d/7bc9270d8833.json @@ -0,0 +1 @@ +{"content":"**बिन्दु को खींच कर $\\left(0,-9\\right)$ को आलेखित करें। **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,-9]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/6a/f8cc8cdf8a81.json b/data/questions/c0/6a/f8cc8cdf8a81.json new file mode 100644 index 0000000000..5d5b3ee56d --- /dev/null +++ b/data/questions/c0/6a/f8cc8cdf8a81.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-3,-4)$ and $(6,-4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":9,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null},{"value":-9,"status":"wrong","message":"Remember that distance should always be positive.","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[-3,-4],[6,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/75/363175d294be.json b/data/questions/c0/75/363175d294be.json new file mode 100644 index 0000000000..5f9bab9a4f --- /dev/null +++ b/data/questions/c0/75/363175d294be.json @@ -0,0 +1 @@ +{"content":"In Hayley's favorite video game, she completes $3$ challenges every $2$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents challenges completed.\n\n**Plot points to show how many challenges Hayley has completed after playing for $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[4,6],[6,9],[2,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/87/4970f2c7babb.json b/data/questions/c0/87/4970f2c7babb.json new file mode 100644 index 0000000000..bee6f59c5d --- /dev/null +++ b/data/questions/c0/87/4970f2c7babb.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4026301098c40e38035250f0fe4e79b3e0c4aedd","width":400},"correct":{"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,6],[-5,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/88/33f5038a8e35.json b/data/questions/c0/88/33f5038a8e35.json new file mode 100644 index 0000000000..2b7e83befa --- /dev/null +++ b/data/questions/c0/88/33f5038a8e35.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/61ff8d9fa61c6695f2ceffe7cfba38075db08af4","width":425},"correct":{"coords":[[-7,9],[-7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/99/6d6bc603f03b.json b/data/questions/c0/99/6d6bc603f03b.json new file mode 100644 index 0000000000..047b64933b --- /dev/null +++ b/data/questions/c0/99/6d6bc603f03b.json @@ -0,0 +1 @@ +{"content":"crwdns3354910:0$m$crwdnd3354910:0$z_1$crwdnd3354910:0$z_2$crwdne3354910:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5f0e6588ed805d7eddb1d85418c881c25de5ec42","width":430},"correct":{"coords":[[4.5,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/a8/62f73cf3a3cd.json b/data/questions/c0/a8/62f73cf3a3cd.json new file mode 100644 index 0000000000..27de8fd906 --- /dev/null +++ b/data/questions/c0/a8/62f73cf3a3cd.json @@ -0,0 +1 @@ +{"content":"Elon sat on the dock with his fishing rod, when suddenly he felt the rod being pulled down! He reeled in his catch, causing it to ascend at a constant rate of $0.1$ meters per second. When it reached the water's surface after $35$ seconds, Elon found it was only an old shoe...\n\n**Graph the relationship between the shoe's altitude (in meters relative to the water's surface) and time (in seconds).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[35,0],[40,0.5]],"asymptote":null},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-5,65],[-4,4]],"labels":["",""],"step":[5,1],"gridStep":[5,0.5],"snapStep":[5,0.5],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d5edaf15bfe7751fa400f442e1abc55494196e90","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/b9/f4a862f9ab4c.json b/data/questions/c0/b9/f4a862f9ab4c.json new file mode 100644 index 0000000000..8580efaa0e --- /dev/null +++ b/data/questions/c0/b9/f4a862f9ab4c.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{y^2}{36}-\\dfrac{x^2}{64}=1$**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0fccc4815371e370ded34ccc285c811a9233c38a","width":425},"correct":{"coords":[[0,10],[0,-10]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["□","□"],"markings":"none","range":[[-14,14],[-14,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/c4/70638494c94b.json b/data/questions/c0/c4/70638494c94b.json new file mode 100644 index 0000000000..3a70b9b421 --- /dev/null +++ b/data/questions/c0/c4/70638494c94b.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 4+9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[4,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/c4/e956e895e7c3.json b/data/questions/c0/c4/e956e895e7c3.json new file mode 100644 index 0000000000..25f829c57c --- /dev/null +++ b/data/questions/c0/c4/e956e895e7c3.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/88a960700092f6378f99cdb5ac8a35c600225667","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[8,-4],[8,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/c6/c3776d5c2f38.json b/data/questions/c0/c6/c3776d5c2f38.json new file mode 100644 index 0000000000..8c3fbe885f --- /dev/null +++ b/data/questions/c0/c6/c3776d5c2f38.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599c6aecef56b5ca5cc9c222590354c5603561fa","width":430},"correct":{"coords":[[-2,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/d0/5e4f59029886.json b/data/questions/c0/d0/5e4f59029886.json new file mode 100644 index 0000000000..2ab8bff233 --- /dev/null +++ b/data/questions/c0/d0/5e4f59029886.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d918505e522ef82ac66762f934dd483fd89b2392","width":430},"correct":{"coords":[[3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/d5/40fa2919fd3f.json b/data/questions/c0/d5/40fa2919fd3f.json new file mode 100644 index 0000000000..c2b4aab485 --- /dev/null +++ b/data/questions/c0/d5/40fa2919fd3f.json @@ -0,0 +1 @@ +{"content":"For a science project Nick looked up the average annual snowfall for $6$ cities in the northern hemisphere, and he also recorded the latitude of each city. Nick used the line $y = 3.5x - 40$ to model annual snowfall as a function of latitude. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Would an exponential or quadratic model be a better fit for the data?** [[☃ dropdown 1]] \n\n | | | || ||\n- | - | -\n**Latitude (degrees north)** |$10$ | $20$| $30$ | $40$ | $50$|$60$\n**Residual value** | $5$ | $-15$| $-5$ | $5$|$0$|$10$ \n**Snowfall (cm)** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":15},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":60},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":105},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":135},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":180},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[10,0],[20,15],[30,60],[40,105],[50,135],[60,180]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,10],"labels":["x","y"],"markings":"graph","range":[[-5,70],[-10,200]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,5],"step":[10,20]},"type":"interactive-graph"}}} diff --git a/data/questions/c0/ec/76104229fcfe.json b/data/questions/c0/ec/76104229fcfe.json new file mode 100644 index 0000000000..fd9bec0f3f --- /dev/null +++ b/data/questions/c0/ec/76104229fcfe.json @@ -0,0 +1 @@ +{"content":"**Construct a $120^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/3612148aef6e164000279caffcc323d506c6c8a1.png":{"height":317,"width":395},"https://ka-perseus-images.s3.amazonaws.com/e5b403fb5e57b69cb05371dce708156c60a2a13f.png":{"height":162,"width":292}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[5.101601255800863,-0.1637674249957186],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c0/ed/c2b6387ddbf6.json b/data/questions/c0/ed/c2b6387ddbf6.json new file mode 100644 index 0000000000..6f0dc9d05b --- /dev/null +++ b/data/questions/c0/ed/c2b6387ddbf6.json @@ -0,0 +1 @@ +{"content":"Here's a graph of a quadratic function $h$.\n\n[[☃ image 1]]\n\n**What's the domain of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/76d328eae2803aa06289bbbf4b25a27de0ce48a0","width":265,"height":265},"labels":[],"alt":"A segment of a quadratic function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 9, negative 2.5). There is an open, unfilled circle at the point (6, 5). There is a curve between these two points, connecting them. From left to right, it travels down reaching a minimum h of x value at (negative 4, negative 5), then travels up to the open circle.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"$-9 \\leq x < 6$"},{"correct":false,"content":"$-9 3$\n\n[[☃ radio 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/35885f17b49ccb2e1d3d4465a9dd0be1dfc340fc.png":{"height":104,"width":478}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The distance between $-2.2$ and $-x$ is greater than $3$.","correct":false},{"content":"The distance between $-2.2$ and $x$ is greater than $3$.","correct":true},{"content":"The distance between $3$ and $-2.2$ is greater than $x$.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/92/d606705060ed.json b/data/questions/c3/92/d606705060ed.json new file mode 100644 index 0000000000..8efc41ab91 --- /dev/null +++ b/data/questions/c3/92/d606705060ed.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ENT}$ is rotated $-360^\\circ$ about the point $(1,-5)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6f77ec93b66fcaf8c8a4075be81d88e85caead7c","width":425},"correct":{"coords":[[-4,-4],[-2,2],[3,1]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/94/f391f0d644cb.json b/data/questions/c3/94/f391f0d644cb.json new file mode 100644 index 0000000000..4ca744c032 --- /dev/null +++ b/data/questions/c3/94/f391f0d644cb.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक पंचभुज बनाएँ जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−8,9), (−9,7), (−9,4), (−3,5), (−4,9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,9],[-9,7],[-9,4],[-3,5],[-4,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/a3/e7ea5e05c190.json b/data/questions/c3/a3/e7ea5e05c190.json new file mode 100644 index 0000000000..a64b0f8c5a --- /dev/null +++ b/data/questions/c3/a3/e7ea5e05c190.json @@ -0,0 +1 @@ +{"content":"The figure below shows a pyramid whose base is a $6\\times 6$ square and whose height is $6$. \n\n![square pyramid, horizontal slice](https://ka-perseus-graphie.s3.amazonaws.com/4e6db0b061f7d0aaab47e90516b4d1a2b8bb2023.png)\n\n**Draw the shape of a horizontal slice through the pyramid.**\n\nClick below to add vertices and draw all the sides of the shape. Drag the vertices if you need to change the lengths of the sides.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/4e6db0b061f7d0aaab47e90516b4d1a2b8bb2023.png":{"height":359,"width":399}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0.5,3.5],[3.5,3.5],[3.5,0.5],[0.5,0.5]],"match":"similar","numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/a7/77454b8982c2.json b/data/questions/c3/a7/77454b8982c2.json new file mode 100644 index 0000000000..6b506354a7 --- /dev/null +++ b/data/questions/c3/a7/77454b8982c2.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = 2f(x)-2$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-3,-8],[3,4]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,-3],"color":"grayH","filled":true},{"type":"point","coord":[3,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/ac/2526663712e6.json b/data/questions/c3/ac/2526663712e6.json new file mode 100644 index 0000000000..309f9e358c --- /dev/null +++ b/data/questions/c3/ac/2526663712e6.json @@ -0,0 +1 @@ +{"content":"**Construct a $140^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/d275297712ac868c7225c59423aec7bbac76a8ed.png":{"height":169,"width":397}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7.699870174911066,-2.539041776119187],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/b9/c041c2366b77.json b/data/questions/c3/b9/c041c2366b77.json new file mode 100644 index 0000000000..e3d14471c8 --- /dev/null +++ b/data/questions/c3/b9/c041c2366b77.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -2$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/bf/86a4ae31bbc1.json b/data/questions/c3/bf/86a4ae31bbc1.json new file mode 100644 index 0000000000..04fa8962b5 --- /dev/null +++ b/data/questions/c3/bf/86a4ae31bbc1.json @@ -0,0 +1 @@ +{"content":"You are driving along the open highway on a cross-country road trip, cruising at a steady speed of $60$ miles per hour. \n\n**What is the slope of the line representing this relationship?**\n\nThe slope is [[☃ input-number 1]] .\n\n **Graph the proportional relationship \n$d=60t\\,$ that expresses your distance traveled $d$ (in miles) in terms of time $t$ (in hours) since you started going $60\\, \\text{mph}$. **\n\n\n\n\n\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":60},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e873a2844e0f055a21f9b5170525f15b5d42228e.png","width":425},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"none","range":[[-1,8],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,10]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/c2/51cea41d2f11.json b/data/questions/c3/c2/51cea41d2f11.json new file mode 100644 index 0000000000..f992a584f1 --- /dev/null +++ b/data/questions/c3/c2/51cea41d2f11.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\cos\\left(\\dfrac{\\pi}{12}x\\right)+6$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,6],[0,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":null,"width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/d0/9f4ba5339b18.json b/data/questions/c3/d0/9f4ba5339b18.json new file mode 100644 index 0000000000..168a1fc5a7 --- /dev/null +++ b/data/questions/c3/d0/9f4ba5339b18.json @@ -0,0 +1 @@ +{"content":"crwdns6727094:0$xcrwdne6727094:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/d5/89137c54efeb.json b/data/questions/c3/d5/89137c54efeb.json new file mode 100644 index 0000000000..c98f7bd362 --- /dev/null +++ b/data/questions/c3/d5/89137c54efeb.json @@ -0,0 +1 @@ +{"content":"**Graph $y = 5-\\dfrac{4}{7}x$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,5],[7,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/d9/7d26805535f9.json b/data/questions/c3/d9/7d26805535f9.json new file mode 100644 index 0000000000..832566a515 --- /dev/null +++ b/data/questions/c3/d9/7d26805535f9.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x ,y +3)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4bc1c0e73ed49e8e70bae7ff5227364d41b6a892","width":425},"correct":{"coords":[[0,3],[-6,5],[-4,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/e0/4fca8b3dc1cc.json b/data/questions/c3/e0/4fca8b3dc1cc.json new file mode 100644 index 0000000000..d29a814be8 --- /dev/null +++ b/data/questions/c3/e0/4fca8b3dc1cc.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-\\log_2(x+2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/e3/80d0a598685a.json b/data/questions/c3/e3/80d0a598685a.json new file mode 100644 index 0000000000..efa8b571b1 --- /dev/null +++ b/data/questions/c3/e3/80d0a598685a.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6706a006f4f7987bbbc55a793202e422dd097fcc","width":400},"correct":{"coords":[[3,-1],[3,0],[-3,0],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/e3/ce0ec204e2e3.json b/data/questions/c3/e3/ce0ec204e2e3.json new file mode 100644 index 0000000000..3c71e5dd98 --- /dev/null +++ b/data/questions/c3/e3/ce0ec204e2e3.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\ln(4-x)$ and let $g(x)=|x+3|$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\,\\ln(4-x)=|x+3|$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-3,0],[-4,1]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/83db5cf9dccade88c2520a9edb976c76efce5013","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,0.5],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.25],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-1.327},{"maxError":0.5,"message":"□□'□□ □□□□□ □□ □□□□ □□□ □□□□□□□ □□ □□□ □□□ □□□□□□□□□. □□□□ □□□□□□□□□□□□ □□□ □□□□□□ □□□□□□□□. ","simplify":"required","status":"wrong","strict":false,"value":-5.2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/e4/e04ddd676898.json b/data/questions/c3/e4/e04ddd676898.json new file mode 100644 index 0000000000..9f0ccf180a --- /dev/null +++ b/data/questions/c3/e4/e04ddd676898.json @@ -0,0 +1 @@ +{"content":"Timothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,10],[11,15],[18,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[2,5],"labels":["$\\text{Km}$","$\\text{Minutes}$"],"markings":"graph","range":[[-4,22],[-4,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,5],"step":[2,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ýéèśŝ","correct":false},{"content":"ŃŇóò","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c3/ec/24a892ad5e68.json b/data/questions/c3/ec/24a892ad5e68.json new file mode 100644 index 0000000000..430802fcad --- /dev/null +++ b/data/questions/c3/ec/24a892ad5e68.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about point $P$ with a scale factor of $3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d6bd4dbd0c20817fe60236b21c513802403a48a1","width":400},"correct":{"coords":[[-2,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/f2/4409be3a2d71.json b/data/questions/c3/f2/4409be3a2d71.json new file mode 100644 index 0000000000..47355d5965 --- /dev/null +++ b/data/questions/c3/f2/4409be3a2d71.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $5$ units to the left.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/177d09b2e70583c85defc71e8f4eef44ad32cd0e","width":425},"correct":{"coords":[[-3,-3],[-2,0],[-6,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c3/fa/c20e458e6ce0.json b/data/questions/c3/fa/c20e458e6ce0.json new file mode 100644 index 0000000000..bfea2b10ce --- /dev/null +++ b/data/questions/c3/fa/c20e458e6ce0.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $READ$ is rotated $-90^\\circ$ about the point $(-3,-6)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e3725fb7f6c122c037b0e06b8d8b0d16e2ade6e5","width":425},"correct":{"coords":[[-1,-3],[7,-2],[7,-6],[5,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/00/e9a067618c63.json b/data/questions/c4/00/e9a067618c63.json new file mode 100644 index 0000000000..d4c805678f --- /dev/null +++ b/data/questions/c4/00/e9a067618c63.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f4a110969b2e6e1772058f9916fe08741fb2d54b.png","width":400},"correct":{"coords":[[3,4],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/04/73cc4c4b55bb.json b/data/questions/c4/04/73cc4c4b55bb.json new file mode 100644 index 0000000000..88c4da794d --- /dev/null +++ b/data/questions/c4/04/73cc4c4b55bb.json @@ -0,0 +1 @@ +{"content":"** Which of the following is a solution to the equation below?**\n \n $\\qquad 5|x - 7| + 4 = -2|x - 7| + 10 $\n\n[[☃ radio 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":false},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"crwdns4088702:0crwdne4088702:0","content":"$-\\dfrac{55}{7}$","correct":false},{"clue":"crwdns4089089:0crwdne4089089:0","content":"$-\\dfrac{43}{7}$","correct":false},{"content":" $\\dfrac{43}{7}$","correct":true},{"clue":"Check your calculations again. There are solutions!","content":"crwdns4163900:0crwdne4163900:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/05/287dc43a109f.json b/data/questions/c4/05/287dc43a109f.json new file mode 100644 index 0000000000..d3d8a98de0 --- /dev/null +++ b/data/questions/c4/05/287dc43a109f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{4}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/18f68d6e90f55603330145ad1def3de4e3c5adb1","width":400},"correct":{"coords":[[-4,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/1b/ebc747e1db6d.json b/data/questions/c4/1b/ebc747e1db6d.json new file mode 100644 index 0000000000..e9fcb5271d --- /dev/null +++ b/data/questions/c4/1b/ebc747e1db6d.json @@ -0,0 +1 @@ +{"content":"Aubree collected data about exams in each of her classes from the previous year. \n \n**Plot the data in a scatter plot.** \n\n | | | | | | |\n:-- | :--: | :--: | :--: | :--: | :--: | :--:\n**Class** | English | Math | History | Computer science | Arts | Biology\n**Period** | $1$ | $6$ | $2$ | $4$ | $3$ | $5$\n**Average score** | $95$ | $85$ | $70$ | $65$ | $90$ | $70$\n\n\n\n[[☃ interactive-graph 2]] ","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,10],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["$\\text{Period}$","$\\text{Avg score}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.7,8],[-10,105]],"gridStep":[1,10],"snapStep":[0.5,5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,95],[2,70],[3,90],[4,65],[5,70],[6,85]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/22/b2ecb862ca22.json b/data/questions/c4/22/b2ecb862ca22.json new file mode 100644 index 0000000000..df0091d77a --- /dev/null +++ b/data/questions/c4/22/b2ecb862ca22.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4|x +4|+3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-4,3],[-3,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/37/d0fdbee8cc12.json b/data/questions/c4/37/d0fdbee8cc12.json new file mode 100644 index 0000000000..e6ed2dbfb1 --- /dev/null +++ b/data/questions/c4/37/d0fdbee8cc12.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/024bfc510627906fb2cfac604ac16cbd5c5de07c","width":430},"correct":{"coords":[[8,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/41/23790ce0137e.json b/data/questions/c4/41/23790ce0137e.json new file mode 100644 index 0000000000..3986eb7f18 --- /dev/null +++ b/data/questions/c4/41/23790ce0137e.json @@ -0,0 +1 @@ +{"content":"crwdns3457583:0crwdne3457583:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,-1],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/4d/f42141e59de1.json b/data/questions/c4/4d/f42141e59de1.json new file mode 100644 index 0000000000..1318b7431a --- /dev/null +++ b/data/questions/c4/4d/f42141e59de1.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{x=\\dfrac{y}{3}+ \\dfrac{5}{3}}$\n\n$\\qquad\\pink{4x - 5= - 2y}$\n\n**Create a new equation by substituting $x$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=-0.5"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d4fffe26289e230ad00030b8b819a90c99dfa2c0.png","width":425},"correct":{"coords":[[-5,-0.5],[6,-0.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/7d/1b52f348d383.json b/data/questions/c4/7d/1b52f348d383.json new file mode 100644 index 0000000000..0283de6622 --- /dev/null +++ b/data/questions/c4/7d/1b52f348d383.json @@ -0,0 +1 @@ +{"content":"$g(x)=2(x-3)^2-8$\n\n**1) What is the vertex of the function?**\n\n$($ [[☃ numeric-input 1]] $,$ [[☃ numeric-input 2]] $)$\n\n**2) Write one of the function's zeros (either one is accepted).**\n\n$($ [[☃ numeric-input 3]] $,$ [[☃ numeric-input 4]] $)$\n\n**3) Graph the function.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-8],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"□-□□□□□□□□□□ □□ □□□□□□","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-8}],"coefficient":false,"labelText":"□-□□□□□□□□□□ □□ □□□□□□","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1},{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"□-□□□□□□□□□□ □□ □□□□","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"□-□□□□□□□□□□ □□ □□□□","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/7f/db31ec847411.json b/data/questions/c4/7f/db31ec847411.json new file mode 100644 index 0000000000..f1c44b04bf --- /dev/null +++ b/data/questions/c4/7f/db31ec847411.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $4$ units to the right and $1$ unit up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b07152498a84c8447f211b57cd7aff1a5a7b754d","width":425},"correct":{"coords":[[5,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/8c/6531fdbdb0ea.json b/data/questions/c4/8c/6531fdbdb0ea.json new file mode 100644 index 0000000000..9c5765d195 --- /dev/null +++ b/data/questions/c4/8c/6531fdbdb0ea.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $5$ units to the right and $7$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2a97a1fe92405eb9313b06a6dedeeb00de8f4f38","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[4,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/97/a1e7a84c25b9.json b/data/questions/c4/97/a1e7a84c25b9.json new file mode 100644 index 0000000000..1dac92ae73 --- /dev/null +++ b/data/questions/c4/97/a1e7a84c25b9.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7a88525033e3e18872d8449e501b30ec4199d9ab","width":400},"correct":{"coords":[[6,-5],[7,-1],[4,-1],[5,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/c2/071b72ced389.json b/data/questions/c4/c2/071b72ced389.json new file mode 100644 index 0000000000..d61530fae8 --- /dev/null +++ b/data/questions/c4/c2/071b72ced389.json @@ -0,0 +1 @@ +{"content":"Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost of the job is in the chart below.\n\n |Day $1$|Day $2$|Day $3$\n-:|-:|-:|-:\nHours worked|$5$|$4$|$6$\nAmount paid|$\\$300$|$\\$240$|$\\$360$\n\n**What is the painter's *unit rate* of change of dollars with respect to time; that is, how much is the painter paid for *one* hour worked? **\n\nThe unit rate of change is [[☃ input-number 1]] dollars per hour.\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.**\n\n[[☃ interactive-graph 1]]\n\nGraph the relationship.\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"60"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"graph","range":[[-1,5],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,20]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/d4/b14523cb6bbf.json b/data/questions/c4/d4/b14523cb6bbf.json new file mode 100644 index 0000000000..aa70aaf9f8 --- /dev/null +++ b/data/questions/c4/d4/b14523cb6bbf.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+6x-10y+18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,5],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/d8/4cb5fa233172.json b/data/questions/c4/d8/4cb5fa233172.json new file mode 100644 index 0000000000..fdc6a144b2 --- /dev/null +++ b/data/questions/c4/d8/4cb5fa233172.json @@ -0,0 +1 @@ +{"content":"**Graph the following system of linear equations and determine the number of its solutions.**\n\n$\\qquad 20x+4y=16$\n\n$\\qquad y=-5x-3$\n\n[[☃ radio 1]]\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,4],[1,-1]],[[0,-3],[1,-8]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":false},{"content":"No solutions","correct":true},{"content":"Infinitely many solutions","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/de/47979bfc1943.json b/data/questions/c4/de/47979bfc1943.json new file mode 100644 index 0000000000..9bbd25b3a7 --- /dev/null +++ b/data/questions/c4/de/47979bfc1943.json @@ -0,0 +1 @@ +{"content":"Timothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,10],[11,15],[18,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[2,5],"labels":["$\\text{Km}$","$\\text{Minutes}$"],"markings":"graph","range":[[-4,22],[-4,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,5],"step":[2,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□","correct":false},{"content":"□□","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c4/df/69e373d4276e.json b/data/questions/c4/df/69e373d4276e.json new file mode 100644 index 0000000000..53df7c1790 --- /dev/null +++ b/data/questions/c4/df/69e373d4276e.json @@ -0,0 +1 @@ +{"content":"crwdns3508048:0crwdne3508048:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,0]],"type":"point"},"graph":{"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3137505:0crwdne3137505:0","correct":false},{"content":"crwdns3137560:0crwdne3137560:0","correct":false},{"content":"crwdns3137566:0crwdne3137566:0","correct":false},{"content":"crwdns3137506:0crwdne3137506:0","correct":false},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":true},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c4/ec/bfaccbbde262.json b/data/questions/c4/ec/bfaccbbde262.json new file mode 100644 index 0000000000..a87f1f80d6 --- /dev/null +++ b/data/questions/c4/ec/bfaccbbde262.json @@ -0,0 +1 @@ +{"content":"**Graph $-27x+18y=54$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,3],[-2,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c4/fa/72604be1387d.json b/data/questions/c4/fa/72604be1387d.json new file mode 100644 index 0000000000..c5e501de62 --- /dev/null +++ b/data/questions/c4/fa/72604be1387d.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-\\dfrac14$, $-1$, and $0.25$.**\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/32362418a8aa2bbf5a7ca8927f5134ee375448cb":{"height":80,"width":460}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/1a908d4b537f3d4a269b41a554faec0474ecad71)\n","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/89338be9e165e3142825cef04b030502ade93177)","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/545382e6be4fbac37764e6ff71dfeb54e337c857)","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/14/63947062373e.json b/data/questions/c5/14/63947062373e.json new file mode 100644 index 0000000000..452803b841 --- /dev/null +++ b/data/questions/c5/14/63947062373e.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=5x^2+10x+2$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-1,-3],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/1a/70adc168e05d.json b/data/questions/c5/1a/70adc168e05d.json new file mode 100644 index 0000000000..2b03acba09 --- /dev/null +++ b/data/questions/c5/1a/70adc168e05d.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=x(2x+5)(x+1)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[-2.5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/1f/3a369d6c62a7.json b/data/questions/c5/1f/3a369d6c62a7.json new file mode 100644 index 0000000000..94008e1025 --- /dev/null +++ b/data/questions/c5/1f/3a369d6c62a7.json @@ -0,0 +1 @@ +{"content":"crwdns3362573:0$fcrwdnd3362573:0$gcrwdnd3362573:0$ycrwdnd3362573:0$ycrwdnd3362573:0$x_1$crwdnd3362573:0$x_2$crwdnd3362573:0$x_1crwdnd3362573:0$x_1$crwdnd3362573:0{0.5}crwdne3362573:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[0,1],[3,3]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e95f71d48808e6157708b0be0c9fe47ef93e0ddf","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-3.483},{"maxError":0.5,"message":"crwdns3882554:0crwdne3882554:0","simplify":"required","status":"wrong","strict":false,"value":5.1}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/39/c2d932a37275.json b/data/questions/c5/39/c2d932a37275.json new file mode 100644 index 0000000000..0a1ed99723 --- /dev/null +++ b/data/questions/c5/39/c2d932a37275.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2\\cdot \\left(\\dfrac13\\right)^{x+2}-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-1],[10,-1]],"coords":[[-3,5],[-2,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/3b/700639fff85c.json b/data/questions/c5/3b/700639fff85c.json new file mode 100644 index 0000000000..e41e41186a --- /dev/null +++ b/data/questions/c5/3b/700639fff85c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +16x -16y +124=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-8,8],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/48/826cb7941e9c.json b/data/questions/c5/48/826cb7941e9c.json new file mode 100644 index 0000000000..d7b8046729 --- /dev/null +++ b/data/questions/c5/48/826cb7941e9c.json @@ -0,0 +1 @@ +{"content":"crwdns4115790:0$2$crwdne4115790:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0fa61c4b55d56b8509bb4d7dfd3e79d0ca6b238e","width":425},"correct":{"coords":[[2,-6],[6,0],[0,-7]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/4b/32f9b077280d.json b/data/questions/c5/4b/32f9b077280d.json new file mode 100644 index 0000000000..8e35b84058 --- /dev/null +++ b/data/questions/c5/4b/32f9b077280d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-3)^2+(y+3)^2=36$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/54/17d9b07bb7d7.json b/data/questions/c5/54/17d9b07bb7d7.json new file mode 100644 index 0000000000..32c3587de1 --- /dev/null +++ b/data/questions/c5/54/17d9b07bb7d7.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 4-5i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/60/30f9f60396c1.json b/data/questions/c5/60/30f9f60396c1.json new file mode 100644 index 0000000000..d1cd0946b4 --- /dev/null +++ b/data/questions/c5/60/30f9f60396c1.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit to the right and $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8acadbc1755d5b492dd2008832bd8380ab0196f8","width":425},"correct":{"coords":[[7,2],[7,6],[-3,7],[-1,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/67/6c0eb293aa95.json b/data/questions/c5/67/6c0eb293aa95.json new file mode 100644 index 0000000000..5eb04413c5 --- /dev/null +++ b/data/questions/c5/67/6c0eb293aa95.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\sin\\left(\\dfrac{\\pi}{2}x\\right)+2$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,2],[1,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/6a/00647fd7fa39.json b/data/questions/c5/6a/00647fd7fa39.json new file mode 100644 index 0000000000..7d743fe571 --- /dev/null +++ b/data/questions/c5/6a/00647fd7fa39.json @@ -0,0 +1 @@ +{"content":"crwdns6902058:0$ycrwdnd6902058:0{8}crwdne6902058:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/73/7c2ff89f1a78.json b/data/questions/c5/73/7c2ff89f1a78.json new file mode 100644 index 0000000000..7734f99cbb --- /dev/null +++ b/data/questions/c5/73/7c2ff89f1a78.json @@ -0,0 +1 @@ +{"content":"crwdns3354910:0$m$crwdnd3354910:0$z_1$crwdnd3354910:0$z_2$crwdne3354910:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebd31f95085860bd1b7b6eea99775b7bed802169","width":430},"correct":{"coords":[[1,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/80/299ec0f582eb.json b/data/questions/c5/80/299ec0f582eb.json new file mode 100644 index 0000000000..99fd9a7c2b --- /dev/null +++ b/data/questions/c5/80/299ec0f582eb.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $1$\n\nPattern $y$: Starting number: $9$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $9$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,9],[4,12],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/8e/af8c75345951.json b/data/questions/c5/8e/af8c75345951.json new file mode 100644 index 0000000000..cce8a3106f --- /dev/null +++ b/data/questions/c5/8e/af8c75345951.json @@ -0,0 +1 @@ +{"content":"The following tape diagram describes the relationship between the amount of red paint and the amount of blue paint in a \"Plummy Purple\" paint mix. \n \n![](https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png)\n\n\n**Fill in the table with the missing values.** \n \nRed paint cans | Blue paint cans\n:-: | :-:\n$4$ | [[☃ input-number 1]]\n[[☃ input-number 2]] | $6$ \n \n**Now graph the points listed in the table.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the amount of red paint and the amount of blue paint in a Plummy Purple paint mix proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png":{"width":408,"height":160},"https://ka-perseus-images.s3.amazonaws.com/18a5da55b673792d8cf14e91ccc132c5c81bafb8.png":{"width":460,"height":436}},"widgets":{"input-number 1":{"type":"input-number","graded":true,"options":{"value":"3","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"input-number 2":{"type":"input-number","graded":true,"options":{"value":"8","simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number"},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[20,20],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/2dd935e55b1b523fd430b684d523a41b86230b8d.png","scale":"1","bottom":"0","left":0,"width":451,"height":451},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,110],[-10,110]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[80,60],[40,30]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/a4/2cb0b9cfd351.json b/data/questions/c5/a4/2cb0b9cfd351.json new file mode 100644 index 0000000000..feb9459edf --- /dev/null +++ b/data/questions/c5/a4/2cb0b9cfd351.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{7}{2}x$ \n \n \n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n\n[[☃ radio 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"7"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"14"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,7],[4,14]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,15],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/bf/122a56c2a75d.json b/data/questions/c5/bf/122a56c2a75d.json new file mode 100644 index 0000000000..b04d412ce0 --- /dev/null +++ b/data/questions/c5/bf/122a56c2a75d.json @@ -0,0 +1 @@ +{"content":"crwdns4069710:0$ycrwdne4069710:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-4],[6,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"crwdns3886946:0crwdne3886946:0","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"crwdns3886947:0crwdne3886947:0","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/c2/0bf6d42817d1.json b/data/questions/c5/c2/0bf6d42817d1.json new file mode 100644 index 0000000000..c3be1b61b7 --- /dev/null +++ b/data/questions/c5/c2/0bf6d42817d1.json @@ -0,0 +1 @@ +{"content":"Olivia's tablet has a cracked screen. On a coordinate map of the screen, the crack starts at the point $(2,5)$ and ends at the point $(8,5)$. The crack connects the two points in a straight line.\n\n**Plot the points where the crack starts and ends on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How long is the crack?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,5],[8,5]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/c2/917f3f4ba7bc.json b/data/questions/c5/c2/917f3f4ba7bc.json new file mode 100644 index 0000000000..6516bbcc68 --- /dev/null +++ b/data/questions/c5/c2/917f3f4ba7bc.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube with side length $3$. \n\n![3 by 3 by 3 cube](https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png)\n\n**Drag the corners of the square below to draw the shape of a horizontal slice through the cube.**\n\n[[☃ interactive-graph 1]] \n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png":{"height":260,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,1],[4,4],[1,4],[1,1]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"grid","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/c4/c93157d598bf.json b/data/questions/c5/c4/c93157d598bf.json new file mode 100644 index 0000000000..4733892b7e --- /dev/null +++ b/data/questions/c5/c4/c93157d598bf.json @@ -0,0 +1 @@ +{"content":"[Q4] Consider the following trigonometric function:\n\n$\\qquad h(x)=0.5\\sin(0.25x+0.75\\pi)-5$\n\n**Graph $h(x)$ in the interactive widget.**\n\nhint: the function has a midline of $y = -5$, a period of $8\\pi$, a local maximum at $(-\\pi, -4.5)$, and a local minimum at $(3\\pi , -5.5)$.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-6,-5],[-2,-4.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/c7/43406c12d86d.json b/data/questions/c5/c7/43406c12d86d.json new file mode 100644 index 0000000000..490a9097c7 --- /dev/null +++ b/data/questions/c5/c7/43406c12d86d.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=g(x)$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6cfc71294a4d1d57fa5bf141943fc417d515eac7","width":400},"correct":{"coords":[[2,3],[0,-6],[-4,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,2],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-20,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/db/7b5d8734a879.json b/data/questions/c5/db/7b5d8734a879.json new file mode 100644 index 0000000000..508e6d3e32 --- /dev/null +++ b/data/questions/c5/db/7b5d8734a879.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=3\\sin\\left(\\dfrac{\\pi}{5} x+\\dfrac{2\\pi}{5}\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-2,-3],[0.5,0]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/e1/9c97fb99507f.json b/data/questions/c5/e1/9c97fb99507f.json new file mode 100644 index 0000000000..2695899d13 --- /dev/null +++ b/data/questions/c5/e1/9c97fb99507f.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-2x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,5],[1,3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/e5/3482d8416079.json b/data/questions/c5/e5/3482d8416079.json new file mode 100644 index 0000000000..fd8bc0d4f9 --- /dev/null +++ b/data/questions/c5/e5/3482d8416079.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7360b7d63804f5773182e3d2f687f5a132efe69c","width":425},"correct":{"coords":[[-3,-2],[1,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c5/e7/1509c7064d22.json b/data/questions/c5/e7/1509c7064d22.json new file mode 100644 index 0000000000..df0b649d65 --- /dev/null +++ b/data/questions/c5/e7/1509c7064d22.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f990914d45176dfe9659478f8fd4c0c87ae856ed","width":400},"correct":{"coords":[[2,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/08/b70feb8e93ef.json b/data/questions/c6/08/b70feb8e93ef.json new file mode 100644 index 0000000000..fb7e240ed0 --- /dev/null +++ b/data/questions/c6/08/b70feb8e93ef.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-3$|$-2$|$-2$|$-2$|$-6$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dffe9451f3a174c6e644405b1601b2ba241c3dfa","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,1]],[[-5,3],[5,-2]],[[-5,0],[5,-2]],[[-5,-3],[5,-2]],[[-5,-6],[5,4]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/c6/19/f0e1e62262f3.json b/data/questions/c6/19/f0e1e62262f3.json new file mode 100644 index 0000000000..1ce0c7c162 --- /dev/null +++ b/data/questions/c6/19/f0e1e62262f3.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{4}(x +3)(x +7)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,3],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/2d/9499ad7d1d79.json b/data/questions/c6/2d/9499ad7d1d79.json new file mode 100644 index 0000000000..6127b48ca6 --- /dev/null +++ b/data/questions/c6/2d/9499ad7d1d79.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -4+2i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-4,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/38/9b6c471a0c19.json b/data/questions/c6/38/9b6c471a0c19.json new file mode 100644 index 0000000000..4833d421d2 --- /dev/null +++ b/data/questions/c6/38/9b6c471a0c19.json @@ -0,0 +1 @@ +{"content":"**The triangle shown in the graph is transformed by matrix $R$. Plot the resulting triangle.** \n\n$R=\\left[\\begin{array} {ccc}\n0 & -1.5 \\\\\n1.5 & 0 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f71a3674474fd2a991700d78a8a7a716c74d28e1","width":425},"correct":{"coords":[[-3,3],[-3,9],[-9,6]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/42/dec500d3c9e7.json b/data/questions/c6/42/dec500d3c9e7.json new file mode 100644 index 0000000000..e2beda24a6 --- /dev/null +++ b/data/questions/c6/42/dec500d3c9e7.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\sin\\left(\\dfrac{\\pi}{2}x\\right)+2$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,2],[1,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/59/61380f810891.json b/data/questions/c6/59/61380f810891.json new file mode 100644 index 0000000000..9dd714af42 --- /dev/null +++ b/data/questions/c6/59/61380f810891.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $3$, $4$, and $5$.** \n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[3.5,2],[3.5,5],[-0.5,2]],"match":"congruent","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[0.5,0.5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/5e/e3e765dc653a.json b/data/questions/c6/5e/e3e765dc653a.json new file mode 100644 index 0000000000..17258327e9 --- /dev/null +++ b/data/questions/c6/5e/e3e765dc653a.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c7da179f658f4817a2d42e65ed6eb023160ce3a","width":430},"correct":{"coords":[[9,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/70/cf766d80652c.json b/data/questions/c6/70/cf766d80652c.json new file mode 100644 index 0000000000..26fdbfd538 --- /dev/null +++ b/data/questions/c6/70/cf766d80652c.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $1$\n\nPattern $y$: Starting number: $9$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $9$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,9],[4,12],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/7d/e8857bbf28f4.json b/data/questions/c6/7d/e8857bbf28f4.json new file mode 100644 index 0000000000..459eb7e549 --- /dev/null +++ b/data/questions/c6/7d/e8857bbf28f4.json @@ -0,0 +1 @@ +{"content":"The four corners of a square are located at the points $(3,4)$, $(3,8)$, $(7,8)$, and $(7,4)$.\n\n\n**Plot the four corners of the square on the coordinate plane below.**\n\n[[☃ interactive-graph 1]] \n\n**How long is each side of the square?** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4],[7,8],[7,4],[3,8]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/8b/5a60a784d17d.json b/data/questions/c6/8b/5a60a784d17d.json new file mode 100644 index 0000000000..bc659c5e9d --- /dev/null +++ b/data/questions/c6/8b/5a60a784d17d.json @@ -0,0 +1 @@ +{"content":"crwdns6498787:0$A$crwdnd6498787:0$x$crwdnd6498787:0$y$crwdne6498787:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a16c9a571c62dbb4379f03fefedc9d68f70ad02","width":400},"correct":{"coords":[[-4,-4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/a0/9427f60adc7c.json b/data/questions/c6/a0/9427f60adc7c.json new file mode 100644 index 0000000000..3d4af48977 --- /dev/null +++ b/data/questions/c6/a0/9427f60adc7c.json @@ -0,0 +1 @@ +{"content":"$\\triangle{YIP}$ is reflected over the line $y=2x+5$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/216537b0280134b2effc8974548d7217a6742850","width":425},"correct":{"coords":[[1,1],[1,4],[-4,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad75d041b76209ed3528c53beedbb12b7ab94c86","width":425},"correct":{"coords":[[-1,8],[4,3],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/af/8916a949a772.json b/data/questions/c6/af/8916a949a772.json new file mode 100644 index 0000000000..ff7f098927 --- /dev/null +++ b/data/questions/c6/af/8916a949a772.json @@ -0,0 +1 @@ +{"content":"crwdns3362579:0$fcrwdnd3362579:0{x-1}crwdnd3362579:0$gcrwdnd3362579:0$ycrwdnd3362579:0$ycrwdnd3362579:0$x_1$crwdnd3362579:0$x_2$crwdnd3362579:0{x-1}crwdnd3362579:0$x_1crwdnd3362579:0$x_1$crwdnd3362579:0{0.5}crwdne3362579:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-1,2],[0,-2]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3d80c21f0e7c97a6bf1cb081c7f01e25fde28721","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":0.659},{"maxError":0.5,"message":"crwdns3882553:0crwdne3882553:0","simplify":"required","status":"wrong","strict":false,"value":-0.4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/b0/a9d57a7387f9.json b/data/questions/c6/b0/a9d57a7387f9.json new file mode 100644 index 0000000000..b4d96c2433 --- /dev/null +++ b/data/questions/c6/b0/a9d57a7387f9.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd58950fe8fbd8112b974a3c7a9c027cb131fc5e","width":425},"correct":{"coords":[[6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/b1/bd2a8b154930.json b/data/questions/c6/b1/bd2a8b154930.json new file mode 100644 index 0000000000..73405e6973 --- /dev/null +++ b/data/questions/c6/b1/bd2a8b154930.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/20cb7152ae355802f7fe19491d84021cccd47125)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/7052632393790eec27a335d6f1e4b6137267dc39.png":{"height":236,"width":125},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/20cb7152ae355802f7fe19491d84021cccd47125":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 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1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/d9/c4626b37c1f6.json b/data/questions/c6/d9/c4626b37c1f6.json new file mode 100644 index 0000000000..7d5ed554bb --- /dev/null +++ b/data/questions/c6/d9/c4626b37c1f6.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$1.3$|$2.6$|$3.9$|$5.2$\n$y$|$0$|$1$|$2$|$3$|$4$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]] \n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.7692307692307693},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[13,10],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-14,14],[-14,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/e5/dc25aa5eb584.json b/data/questions/c6/e5/dc25aa5eb584.json new file mode 100644 index 0000000000..6ab63647ec --- /dev/null +++ b/data/questions/c6/e5/dc25aa5eb584.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/f4a110969b2e6e1772058f9916fe08741fb2d54b.png","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,9],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[3,4],[6,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/f6/1e1feb622066.json b/data/questions/c6/f6/1e1feb622066.json new file mode 100644 index 0000000000..86dbe87b88 --- /dev/null +++ b/data/questions/c6/f6/1e1feb622066.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9accfb93d8f5a2c86387841a2a938dddfa6aeda6","width":425},"box":[288,288],"correct":{"coords":[[0,-3],[4,-3],[-7,-7]],"numPoints":"unlimited","type":"point"},"editableSettings":["graph","snap","image","measure"],"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c6/fa/26bccc661b05.json b/data/questions/c6/fa/26bccc661b05.json new file mode 100644 index 0000000000..414c81f800 --- /dev/null +++ b/data/questions/c6/fa/26bccc661b05.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,5)$, and which has the point $(-3,5)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[0,5],"radius":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/05/2a6ccc6f211c.json b/data/questions/c7/05/2a6ccc6f211c.json new file mode 100644 index 0000000000..22e55e9a16 --- /dev/null +++ b/data/questions/c7/05/2a6ccc6f211c.json @@ -0,0 +1 @@ +{"content":"crwdns2984011:0$10$crwdne2984011:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[4,1],[4,4],[4,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2699464:0crwdne2699464:0","correct":true},{"content":"crwdns2699411:0crwdne2699411:0"},{"content":"crwdns2699524:0crwdne2699524:0"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c7/07/51b278ef526a.json b/data/questions/c7/07/51b278ef526a.json new file mode 100644 index 0000000000..241896571f --- /dev/null +++ b/data/questions/c7/07/51b278ef526a.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=0.5\\sin\\left(\\dfrac{\\pi}{3}x+\\dfrac{4\\pi}{3}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-4,-2],[-2.5,-1.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/10/211a8f2c5655.json b/data/questions/c7/10/211a8f2c5655.json new file mode 100644 index 0000000000..d404aca372 --- /dev/null +++ b/data/questions/c7/10/211a8f2c5655.json @@ -0,0 +1 @@ +{"content":"crwdns3384975:0$1$crwdnd3384975:0$18$crwdne3384975:0","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/12/aa713458d3a4.json b/data/questions/c7/12/aa713458d3a4.json new file mode 100644 index 0000000000..a3506ac222 --- /dev/null +++ b/data/questions/c7/12/aa713458d3a4.json @@ -0,0 +1 @@ +{"content":"**Match each expression with its appropriate interpretation.**\n\n[[☃ matcher 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Expression","Interpretation"],"left":["$7 - 9$","$\\left\\lvert 7 - 9\\right\\rvert$","$7 + (-7)$"],"orderMatters":false,"padding":true,"right":["The number $9$ to the left of $7$ on the horizontal number line","The distance between $7$ and $9$ on the number line","Sums to zero"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$|a - b| \\cdot |c - d|$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$|a - e|$","$|b - f|$","$|a - c|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/1a/dee7b0da7d89.json b/data/questions/c7/1a/dee7b0da7d89.json new file mode 100644 index 0000000000..eb24df5102 --- /dev/null +++ b/data/questions/c7/1a/dee7b0da7d89.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under the translation $(x,y)\\to(x+1,y+2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c3f09f72e57a6eaafa9895f8597c91808878906d","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-3,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/1d/badd707789cb.json b/data/questions/c7/1d/badd707789cb.json new file mode 100644 index 0000000000..a4266e446f --- /dev/null +++ b/data/questions/c7/1d/badd707789cb.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{17} \\left( \\cos(104 \\degree) + i\\sin(104 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-6,6],[-6,6]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[-1,4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/33/e01599b860d2.json b/data/questions/c7/33/e01599b860d2.json new file mode 100644 index 0000000000..a1b08a5491 --- /dev/null +++ b/data/questions/c7/33/e01599b860d2.json @@ -0,0 +1 @@ +{"content":"**On the graph below, use the two points to draw a line through the point $(3,4)$ that will create a system of equations with *exactly one solution* at the point $(1,-2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/250bc486d48e5da6fb78160628f1fd62bad90a17.png","width":425},"correct":{"coords":[[3,4],[1,-2]],"type":"linear"},"graph":{"type":"linear"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/c7/37/fb18210cad74.json b/data/questions/c7/37/fb18210cad74.json new file mode 100644 index 0000000000..6c8efc3ead --- /dev/null +++ b/data/questions/c7/37/fb18210cad74.json @@ -0,0 +1 @@ +{"content":"crwdns4069879:0$x$crwdnd4069879:0$xcrwdnd4069879:0$xcrwdnd4069879:0$ycrwdne4069879:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-4],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/39/cf3ec7433d1c.json b/data/questions/c7/39/cf3ec7433d1c.json new file mode 100644 index 0000000000..f058609a07 --- /dev/null +++ b/data/questions/c7/39/cf3ec7433d1c.json @@ -0,0 +1 @@ +{"content":"crwdns6420643:0$ycrwdne6420643:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[1,-10],[1,10]],"coords":[[-1,-3],[0,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/3b/09104466a28c.json b/data/questions/c7/3b/09104466a28c.json new file mode 100644 index 0000000000..8099128025 --- /dev/null +++ b/data/questions/c7/3b/09104466a28c.json @@ -0,0 +1 @@ +{"content":"crwdns4134489:0$x$crwdnd4134489:0$1$crwdnd4134489:0$1$crwdnd4134489:0$y$crwdnd4134489:0$6$crwdnd4134489:0$6$crwdnd4134489:0$x$crwdnd4134489:0$y$crwdnd4134489:0:-:crwdnd4134489:0$1$crwdnd4134489:0$6$crwdne4134489:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6],[2,12],[3,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/3b/9086c801ee2d.json b/data/questions/c7/3b/9086c801ee2d.json new file mode 100644 index 0000000000..9d4266f98e --- /dev/null +++ b/data/questions/c7/3b/9086c801ee2d.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=3$ by placing points in that location. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/79ce7889f7e0c20c8551a139d6fb63ce4f236031","width":400},"correct":{"coords":[[2,3],[-1,3],[3,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/63/32be59cb4c1b.json b/data/questions/c7/63/32be59cb4c1b.json new file mode 100644 index 0000000000..212624190f --- /dev/null +++ b/data/questions/c7/63/32be59cb4c1b.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the dashed, green line segment shown below. \n \n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9782af40bdfc1ae2cb7a19172a00ef4aa2e92f5","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"segment"},"correct":{"type":"segment","coords":[[[8,3],[5,-2]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/63/96acb20f31ae.json b/data/questions/c7/63/96acb20f31ae.json new file mode 100644 index 0000000000..122578b591 --- /dev/null +++ b/data/questions/c7/63/96acb20f31ae.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=2\\left(\\dfrac12\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,2],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/6d/29cdf72f05be.json b/data/questions/c7/6d/29cdf72f05be.json new file mode 100644 index 0000000000..5560eba363 --- /dev/null +++ b/data/questions/c7/6d/29cdf72f05be.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/35af55fd8ca1fd970e15b47edce06cad89333c3f","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[1,1],[1,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/72/2021b2281f5a.json b/data/questions/c7/72/2021b2281f5a.json new file mode 100644 index 0000000000..ec41a59017 --- /dev/null +++ b/data/questions/c7/72/2021b2281f5a.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b28cea91201e2bf0f941c618adfebc212092273c","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","coords":[[4,-2],[4,2],[0,-1],[3,-4]],"numSides":4,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/75/90354308d3b7.json b/data/questions/c7/75/90354308d3b7.json new file mode 100644 index 0000000000..d9e57fc908 --- /dev/null +++ b/data/questions/c7/75/90354308d3b7.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{B}$, and the other line goes through points $\\text{C}$ and $\\text{D}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/6a5f70a361f0f1baeef61eee6726eef944176663.png","width":400},"correct":{"coords":[[[-7,7],[0,-2]],[[-3,-7],[7,-3]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/8f/3b8d4de9d3ac.json b/data/questions/c7/8f/3b8d4de9d3ac.json new file mode 100644 index 0000000000..261b69b4dc --- /dev/null +++ b/data/questions/c7/8f/3b8d4de9d3ac.json @@ -0,0 +1 @@ +{"content":"Draw a circle with radius $0.5$, centered at $(3, 4)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[3,4],"radius":0.5,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/97/97ff2f0b3d27.json b/data/questions/c7/97/97ff2f0b3d27.json new file mode 100644 index 0000000000..dd5af1f288 --- /dev/null +++ b/data/questions/c7/97/97ff2f0b3d27.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube with side length $3$. \n\n![3 by 3 by 3 cube](https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png)\n\n**Drag the corners of the square below to draw the shape of a horizontal slice through the cube.**\n\n[[☃ interactive-graph 1]] \n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png":{"height":260,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,1],[4,4],[1,4],[1,1]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/9b/9efe3d97e38a.json b/data/questions/c7/9b/9efe3d97e38a.json new file mode 100644 index 0000000000..6d9023750e --- /dev/null +++ b/data/questions/c7/9b/9efe3d97e38a.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the quadrilateral by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fcada2e18f38558de80c649bfd973ad3448b09f9","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,9],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[2,6],[6,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/a3/498c11cb3aae.json b/data/questions/c7/a3/498c11cb3aae.json new file mode 100644 index 0000000000..d0fb72fd01 --- /dev/null +++ b/data/questions/c7/a3/498c11cb3aae.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e9c966d1afce75629c2c10578985f6ab10074b95","width":425},"correct":{"coords":[[1,-4],[-2,1],[-5,4],[-4,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/bf/b64c8244d217.json b/data/questions/c7/bf/b64c8244d217.json new file mode 100644 index 0000000000..87c4565783 --- /dev/null +++ b/data/questions/c7/bf/b64c8244d217.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $0$. Then add $7$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$3$ | [[☃ numeric-input 1]]\n$5$ | [[☃ numeric-input 2]]\n$7$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7],[5,7],[7,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/c4/33ecc66eaece.json b/data/questions/c7/c4/33ecc66eaece.json new file mode 100644 index 0000000000..5ce4b8ff45 --- /dev/null +++ b/data/questions/c7/c4/33ecc66eaece.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_3(2-x)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"logarithm","asymptote":[[2,-10],[2,10]],"coords":[[1,0],[-1,3]]},"availableTypes":["logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/cf/2875c2d0d29d.json b/data/questions/c7/cf/2875c2d0d29d.json new file mode 100644 index 0000000000..8c7805f219 --- /dev/null +++ b/data/questions/c7/cf/2875c2d0d29d.json @@ -0,0 +1 @@ +{"content":"crwdns3399074:0$f$crwdnd3399074:0$a$crwdnd3399074:0$e$crwdnd3399074:0$f$crwdnd3399074:0$x$crwdnd3399074:0$a$crwdnd3399074:0$b$crwdnd3399074:0$c$crwdnd3399074:0$d$crwdnd3399074:0$e$crwdnd3399074:0$fcrwdnd3399074:0$5$crwdnd3399074:0$4$crwdnd3399074:0$3$crwdnd3399074:0$2$crwdnd3399074:0$1$crwdnd3399074:0$f$crwdnd3399074:0$f$crwdne3399074:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd5727c0aa8f813e1fcbdb2cd2a25e224cccde6","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-4]],[[-5,0],[5,-1]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":true},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c7/d8/8f1857491232.json b/data/questions/c7/d8/8f1857491232.json new file mode 100644 index 0000000000..c727dfe40b --- /dev/null +++ b/data/questions/c7/d8/8f1857491232.json @@ -0,0 +1 @@ +{"content":"**Graph $y=1.4x$.**\n\n[[☃ interactive-graph 1]]\n\n\n\n**Which of the following statements are true?**\n\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"□□□ □□□□□□□□ □□□□□□□□□□ □ □□□□□□□□□□□□ □□□□□□□□□□□□.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $1.4$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{5}{7}$ .","correct":false},{"content":" A change of $2$ units in $x$ results in a change of $2.8$ units in $y$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $1.2$ units in $y$.","correct":false}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/e6/68813af3ed69.json b/data/questions/c7/e6/68813af3ed69.json new file mode 100644 index 0000000000..5994d926de --- /dev/null +++ b/data/questions/c7/e6/68813af3ed69.json @@ -0,0 +1 @@ +{"content":"crwdns3382823:0crwdne3382823:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[2,0],[0,9],[2,9]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/ec/24acf049f426.json b/data/questions/c7/ec/24acf049f426.json new file mode 100644 index 0000000000..0323e33bcc --- /dev/null +++ b/data/questions/c7/ec/24acf049f426.json @@ -0,0 +1 @@ +{"content":"The ordered pair $(a, b)$ gives the location of point $P$ on the coordinate plane. The value of $a$ is $0$, but $b$ is not zero. \n\n**Where could point $P$ be located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["Quadrant I","Quadrant II","Quadrant III","Quadrant IV","$x$-axis","$y$-axis"],"items":["$(2,4.5)$","$(0,-3)$","$(7, -\\dfrac12)$"],"randomizeItems":false,"values":[0,5,3]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-12e77f","options":{"color":"black","coordX":"0","coordY":"0"},"type":"point"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":false},{"content":"Quadrant IV","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c7/fb/bb61778fd7b7.json b/data/questions/c7/fb/bb61778fd7b7.json new file mode 100644 index 0000000000..06c8c444a1 --- /dev/null +++ b/data/questions/c7/fb/bb61778fd7b7.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $8$ units from Point $\\blueD{B}$ and also share the same $x$-coordinate as Point $\\blueD{B}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599aec9a5d9eab38ac41baeb5eff98c7997877e4","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[-6,-8],[-6,8]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/1a/615a5a635e77.json b/data/questions/c8/1a/615a5a635e77.json new file mode 100644 index 0000000000..0732a9ba9c --- /dev/null +++ b/data/questions/c8/1a/615a5a635e77.json @@ -0,0 +1 @@ +{"content":"crwdns5315899:0{ mm}crwdnd5315899:0$1$crwdnd5315899:0{1}crwdnd5315899:0{2}crwdnd5315899:0{ mm}crwdne5315899:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[10,-9],[10,9],[-8,9],[-8,-9]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/1b/f0ef5f9840fd.json b/data/questions/c8/1b/f0ef5f9840fd.json new file mode 100644 index 0000000000..206c1db376 --- /dev/null +++ b/data/questions/c8/1b/f0ef5f9840fd.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/80d8b76d5355bb6f33c67876f10aa3a3f68f4e82","width":430},"correct":{"coords":[[-1,-6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/1c/ab32e24a49c4.json b/data/questions/c8/1c/ab32e24a49c4.json new file mode 100644 index 0000000000..ae2130af6c --- /dev/null +++ b/data/questions/c8/1c/ab32e24a49c4.json @@ -0,0 +1 @@ +{"content":"crwdns3897509:0crwdne3897509:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c73d9429fe0629be339f4194f34884e234eb00f4","width":425},"correct":{"coords":[[1,5],[5,2],[-5,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/1d/742672211a4c.json b/data/questions/c8/1d/742672211a4c.json new file mode 100644 index 0000000000..3f54ec98a0 --- /dev/null +++ b/data/questions/c8/1d/742672211a4c.json @@ -0,0 +1 @@ +{"content":"Gian is allowed to spend $45$ minutes on the computer after dinner. He spends his entire $45$ minutes either watching videos or playing games.\n\n**Write an equation for the number of minutes Gian spends playing games, $y$, if he spends $x$ minutes watching videos.**\n\n[[☃ expression 1]]\n\n\nOn Monday, Gian spent $5$ minutes watching videos. On Tuesday, he spent $25$ minutes watching videos.\n\n\n**Place points on the graph to show Gian's activity for Monday and Tuesday.**\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=45-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[5,40],[25,20]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"graph","range":[[-1,46],[-1,46]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/1f/ef01918613ee.json b/data/questions/c8/1f/ef01918613ee.json new file mode 100644 index 0000000000..26b8419975 --- /dev/null +++ b/data/questions/c8/1f/ef01918613ee.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y-1)^2=81$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[1,1],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/28/0b51e70d57cf.json b/data/questions/c8/28/0b51e70d57cf.json new file mode 100644 index 0000000000..bd503441d5 --- /dev/null +++ b/data/questions/c8/28/0b51e70d57cf.json @@ -0,0 +1 @@ +{"content":"Ally is excited to compete in a $6$-mile race. The race organizers plotted the course on a coordinate map. The starting point is at $(4,3)$, and the ending point is at $(4,9)$. Ally's family decides to stand at $(4,6)$ on the map.\n\n**Plot the starting point, ending point, and place where Ally's family stands on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far along will Ally be in the race when she reaches her family?** \n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[4,3],[4,6],[4,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□ □□□□□□□ □□□□□□□ □□□ □□□□","correct":false},{"content":"□□□□□□□ □□□□□□□ □□□ □□□□","correct":true},{"content":"□□□□ □□□□ □□□□□□□ □□□□□□□ □□□ □□□□"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c8/2a/6b906ddd0c12.json b/data/questions/c8/2a/6b906ddd0c12.json new file mode 100644 index 0000000000..c767a46c59 --- /dev/null +++ b/data/questions/c8/2a/6b906ddd0c12.json @@ -0,0 +1 @@ +{"content":"**Use the line segments below to create a triangle with vertices at the following points.**\n\n$(-9,4), (−4,9), (−9,7)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-9,4],[-9,7],[-4,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/33/f7b5c91f64d4.json b/data/questions/c8/33/f7b5c91f64d4.json new file mode 100644 index 0000000000..c412501afa --- /dev/null +++ b/data/questions/c8/33/f7b5c91f64d4.json @@ -0,0 +1 @@ +{"content":"Kayli's tablet has a cracked screen. On a coordinate map of the screen, the crack starts at the point $(1,3)$ and ends at the point $(10,3)$. The crack connects the two points in a straight line.\n\n**Plot the points where the crack starts and ends on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How long is the crack?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,3],[10,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/46/b37e1ccab05b.json b/data/questions/c8/46/b37e1ccab05b.json new file mode 100644 index 0000000000..542bc330fc --- /dev/null +++ b/data/questions/c8/46/b37e1ccab05b.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=7|x -4|-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[4,-1],[5,6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/4d/649edd9d4493.json b/data/questions/c8/4d/649edd9d4493.json new file mode 100644 index 0000000000..638124661d --- /dev/null +++ b/data/questions/c8/4d/649edd9d4493.json @@ -0,0 +1 @@ +{"content":"Graph the system of equations:\n\n$\\begin{align}\ny &= \\dfrac{x}{2} \\\\\ny &= 3 - x\n\\end{align}$\n\n[[☃ interactive-graph 1]]\n\nThe lines intersect at the point ([[☃ numeric-input 1]] , [[☃ numeric-input 2]])","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[3,0]],[[0,0],[2,1]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"x coordinate of the intersection","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"y coordinate of the intersection","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/4e/451379134e57.json b/data/questions/c8/4e/451379134e57.json new file mode 100644 index 0000000000..aaa1fee387 --- /dev/null +++ b/data/questions/c8/4e/451379134e57.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $ROSE$ after the rotation $R_{180^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/6e6557e0ce93a46f0e0bc10f8b2d16e609195fdd.png","width":425},"correct":{"coords":[[6,-5],[7,-2],[3,-2],[4,-5]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/c8/52/a9300a605947.json b/data/questions/c8/52/a9300a605947.json new file mode 100644 index 0000000000..fe1e75a423 --- /dev/null +++ b/data/questions/c8/52/a9300a605947.json @@ -0,0 +1 @@ +{"content":"**Construct an $85^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/9b909f5ba085dd5832cada37c515600960dda988.png":{"height":392,"width":371}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-0.7183505507981855,-0.7892156326593263],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/6f/647eef5fe2a1.json b/data/questions/c8/6f/647eef5fe2a1.json new file mode 100644 index 0000000000..6cd1b3c989 --- /dev/null +++ b/data/questions/c8/6f/647eef5fe2a1.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(5,-4)$, and which has the point $(1,-1)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[5,-4],"radius":5}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/75/32c6b464ad3d.json b/data/questions/c8/75/32c6b464ad3d.json new file mode 100644 index 0000000000..707d14fb79 --- /dev/null +++ b/data/questions/c8/75/32c6b464ad3d.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $f(x)=-\\dfrac{12}{5}(x+3)(x-2)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the function.**\n\n[[☃ grapher 2]]\n\n","images":{},"widgets":{"grapher 2":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-0.5,15],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-4,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-0.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/77/48e63a883330.json b/data/questions/c8/77/48e63a883330.json new file mode 100644 index 0000000000..16c5bbc515 --- /dev/null +++ b/data/questions/c8/77/48e63a883330.json @@ -0,0 +1 @@ +{"content":"Cole lives at $1^{\\text{st}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(1,11)$ on the map below. He decides to meet his best friend at the movie theater at $6^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(6, 4)$ on the map. He will walk down $1^{\\text{st}}$ Avenue then over on $4^{\\text{th}}$ Street.\n\n**Plot Cole's house and the movie theater on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How many blocks does Cole walk to get to the theater?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":12},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,11],[6,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/79/3af0ac3ad41a.json b/data/questions/c8/79/3af0ac3ad41a.json new file mode 100644 index 0000000000..1d6d18d872 --- /dev/null +++ b/data/questions/c8/79/3af0ac3ad41a.json @@ -0,0 +1 @@ +{"content":"Here is the graph of a quadratic function $f$.\n\n[[☃ image 1]]\n\n**Select the equation that defines $f$ in standard form.**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"buttonSets":["basic"],"buttonsVisible":"focused","considered":"correct","form":true,"functions":["f","g","h"],"key":0,"linterContext":{"contentType":"","highlightLint":false,"paths":[],"stack":[]},"simplify":false,"times":false,"value":"-2x^{2}-2x+40"}],"buttonSets":["basic"],"functions":["f","g","h"],"static":false,"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 8 to 8. The quadratic function is concave up, has x intercepts at (negative 4, 0) and (2, 0), and an f of x intercept at (0, -4).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/018c90693917e93ef4669e1ac01f1d7d0d016e20","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"type":"quadratic"},"graph":{"type":"quadratic"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f(x)=\\dfrac{1}{2}x^{2}+x-4$","correct":true},{"content":"$f(x)=x^{2}+2x-8$","correct":false},{"content":"$f(x)=x^{2}-2x-8$","correct":false},{"content":"$f(x)=\\dfrac{1}{2}x^{2}-x-4$","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c8/7e/e407d5eb65fb.json b/data/questions/c8/7e/e407d5eb65fb.json new file mode 100644 index 0000000000..44cf6a8a13 --- /dev/null +++ b/data/questions/c8/7e/e407d5eb65fb.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map line segment $\\overline{OP}$ onto the other line segment below.**\n\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/782236777816fea74794c3cd46ce4eac3dc07dba","width":425},"correct":{"coords":[[0,2],[1,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/87/82241dda9183.json b/data/questions/c8/87/82241dda9183.json new file mode 100644 index 0000000000..64de26b782 --- /dev/null +++ b/data/questions/c8/87/82241dda9183.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points $A$ and $C$ to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/668d416edbfdf5e3c31d3ad849d03611b79a3a47","width":400},"correct":{"coords":[[[2,6],[6,5]],[[2,0],[6,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/8b/cb6b15fbf3ed.json b/data/questions/c8/8b/cb6b15fbf3ed.json new file mode 100644 index 0000000000..6d298f16ac --- /dev/null +++ b/data/questions/c8/8b/cb6b15fbf3ed.json @@ -0,0 +1 @@ +{"content":"DJ Ravi purchased a new computer with $400$ gigabytes $\\text{(GB})$ of storage for videos and music. Each minute of music uses $2 \\text{ GB}$ of storage, and each minute of video uses $8\\text{ GB}$.\n\n**Write an *inequality* that represents the number of minutes of music $(M)$ and video $(V)$ Ravi can download without exceeding his storage capacity.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $V$ on the horizontal axis and $M$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Ravi downloads $50$ minutes of music $(M)$, which of the following numbers of minutes of video $(V)$ can he download without exceeding the storage capacity?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"2M+8V<=400"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,200],[50,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,25],"labels":["V","M"],"markings":"graph","range":[[-8,80],[-30,300]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,12.5],"step":[10,50]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$30$","correct":true},{"content":"$35$","correct":true},{"content":"$40$","correct":false},{"content":"$45$","correct":false},{"content":"$50$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/8f/df20366196fb.json b/data/questions/c8/8f/df20366196fb.json new file mode 100644 index 0000000000..52800c75e0 --- /dev/null +++ b/data/questions/c8/8f/df20366196fb.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9d3928efc7b9e760443b5a7482c5c2a1f1c91851","width":425},"correct":{"coords":[[3,6],[3,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/92/c541799d33f1.json b/data/questions/c8/92/c541799d33f1.json new file mode 100644 index 0000000000..cd66e9a053 --- /dev/null +++ b/data/questions/c8/92/c541799d33f1.json @@ -0,0 +1 @@ +{"content":"[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-5,0],[5,0]],"numPoints":"unlimited","type":"point"},"fullGraphAriaLabel":"Unlimited Point Graph #2","graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["x","y"],"lockedFigures":[],"markings":"grid","range":[[-20,20],[-10,10]],"showProtractor":false,"showTooltips":false,"snapStep":[2.5,0.5],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/9b/64da98daf0c0.json b/data/questions/c8/9b/64da98daf0c0.json new file mode 100644 index 0000000000..e0aacc8fb6 --- /dev/null +++ b/data/questions/c8/9b/64da98daf0c0.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1abac7e75feced028b622d07152cae6e27471570","width":425},"correct":{"coords":[[0,-10],[0,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/9c/4eed64db8746.json b/data/questions/c8/9c/4eed64db8746.json new file mode 100644 index 0000000000..46acf4233f --- /dev/null +++ b/data/questions/c8/9c/4eed64db8746.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2\\sin\\left(\\dfrac{\\pi}{10}x\\right)-7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-7],[5,-5]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":null,"width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/9e/e3d29cec84e9.json b/data/questions/c8/9e/e3d29cec84e9.json new file mode 100644 index 0000000000..adf0f41960 --- /dev/null +++ b/data/questions/c8/9e/e3d29cec84e9.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 2-9i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[2,-9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/9f/ae0c9b1951cc.json b/data/questions/c8/9f/ae0c9b1951cc.json new file mode 100644 index 0000000000..962cba5116 --- /dev/null +++ b/data/questions/c8/9f/ae0c9b1951cc.json @@ -0,0 +1 @@ +{"content":"The following two equations form a linear system.\n\n$\\qquad y=-3x-7$\n\n$\\qquad y=x+9$\n\n**Graph the system of equations and find its solution.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-1,-4],[0,-7]],[[-1,8],[0,9]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"","size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/a2/08c9f6ea4156.json b/data/questions/c8/a2/08c9f6ea4156.json new file mode 100644 index 0000000000..fdc854071a --- /dev/null +++ b/data/questions/c8/a2/08c9f6ea4156.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1,7)$, and the upper-right coordinates are $(4,7)$. The rectangle has an area of $20$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"height":425,"width":440}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,3],[4,7],[-1,7],[-1,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/b2/dab38f297f59.json b/data/questions/c8/b2/dab38f297f59.json new file mode 100644 index 0000000000..d0acafc577 --- /dev/null +++ b/data/questions/c8/b2/dab38f297f59.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=4\\log_3(-x-3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-3,-10],[-3,10]],"coords":[[-4,0],[-6,4]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/bd/e3128db5bf3e.json b/data/questions/c8/bd/e3128db5bf3e.json new file mode 100644 index 0000000000..6a1f4f8494 --- /dev/null +++ b/data/questions/c8/bd/e3128db5bf3e.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/bf/79143990ad98.json b/data/questions/c8/bf/79143990ad98.json new file mode 100644 index 0000000000..955f003e6c --- /dev/null +++ b/data/questions/c8/bf/79143990ad98.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{4}(x +3)(x +7)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,3],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/ce/3651e0340209.json b/data/questions/c8/ce/3651e0340209.json new file mode 100644 index 0000000000..f5aae0907d --- /dev/null +++ b/data/questions/c8/ce/3651e0340209.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x -5,y )$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa884052e74fe0acc08fcb090d8355aa19dd7d4f","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[-3,-4],[0,2],[-2,-1],[-4,-2]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/e8/df21ea57c322.json b/data/questions/c8/e8/df21ea57c322.json new file mode 100644 index 0000000000..22a74fb898 --- /dev/null +++ b/data/questions/c8/e8/df21ea57c322.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/41ee82653175d0a7cd8512587919d90184f83e69","width":425},"correct":{"coords":[[-4,-6],[-4,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/f7/350b4da470a3.json b/data/questions/c8/f7/350b4da470a3.json new file mode 100644 index 0000000000..38081dcb95 --- /dev/null +++ b/data/questions/c8/f7/350b4da470a3.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=4x(x-3)(x+1)(2x-5)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[3,0],[-1,0],[2.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c8/fe/429c2a6d3d74.json b/data/questions/c8/fe/429c2a6d3d74.json new file mode 100644 index 0000000000..be350036a3 --- /dev/null +++ b/data/questions/c8/fe/429c2a6d3d74.json @@ -0,0 +1 @@ +{"content":"crwdns4132428:0$P$crwdnd4132428:0{1}crwdnd4132428:0{3}crwdne4132428:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fa46ca1527f385279c1d927cd94cd014ec77d070","width":400},"correct":{"coords":[[3,-5],[0,-2],[-1,-4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/01/330a3da42baa.json b/data/questions/c9/01/330a3da42baa.json new file mode 100644 index 0000000000..307e70a0ef --- /dev/null +++ b/data/questions/c9/01/330a3da42baa.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}-1 & 4 \\\\ 5 & 2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}= \\left[\\begin{array}{r}1 \\\\ 2\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b923336d10e58d9799429a7b01e6b6e7831b90ba","width":425},"correct":{"coords":[[[0,0],[7,9]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/04/cad994b78068.json b/data/questions/c9/04/cad994b78068.json new file mode 100644 index 0000000000..573c644fa5 --- /dev/null +++ b/data/questions/c9/04/cad994b78068.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_2(-x)-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[0,-10],[0,10]],"coords":[[-1,-9],[-8,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/09/de7e32ac0ad9.json b/data/questions/c9/09/de7e32ac0ad9.json new file mode 100644 index 0000000000..ab6ce25e64 --- /dev/null +++ b/data/questions/c9/09/de7e32ac0ad9.json @@ -0,0 +1 @@ +{"content":"**Graph $y=4\\cos\\left(\\dfrac{1}{5}x\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[5,2],[0,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/0d/d7fd50d6e553.json b/data/questions/c9/0d/d7fd50d6e553.json new file mode 100644 index 0000000000..54472e1c79 --- /dev/null +++ b/data/questions/c9/0d/d7fd50d6e553.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{2}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b2e498acf14a84e67e5628d67c18c098b2170aba","width":400},"correct":{"coords":[[-1,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/12/8f0a6029f055.json b/data/questions/c9/12/8f0a6029f055.json new file mode 100644 index 0000000000..438c92adbd --- /dev/null +++ b/data/questions/c9/12/8f0a6029f055.json @@ -0,0 +1 @@ +{"content":"crwdns3138693:0crwdne3138693:0","images":{"https://ka-perseus-images.s3.amazonaws.com/21a5dbf0b76e53f1b4099881764584b79fc72af6.png":{"height":239,"width":131},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d7f753af808719e2cd876bb3a71775c740799da2":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["crwdns3138694:0crwdne3138694:0","crwdns3138734:0crwdne3138734:0"],"left":["crwdns3138671:0{A}crwdne3138671:0","crwdns3138646:0{B}crwdne3138646:0","crwdns3138662:0{C}crwdne3138662:0"],"orderMatters":false,"padding":true,"right":["crwdns3213156:0$1.5$crwdne3213156:0","crwdns3138634:0crwdne3138634:0","crwdns3138638:0crwdne3138638:0"]},"type":"matcher","version":{"major":0,"minor":0}},"matcher 2":{"graded":true,"options":{"labels":["test","label"],"left":["$x$","$y$","$z$"],"orderMatters":false,"padding":true,"right":["$1$","$2$","$3$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"orderer 1":{"graded":true,"options":{"correctOptions":[{"content":"$x$"}],"height":"normal","layout":"horizontal","options":[{"content":"$x$"},{"content":"$y$"}],"otherOptions":[{"content":"$y$"}]},"type":"orderer","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}},"table 1":{"graded":true,"options":{"answers":[["a",""],["b",""],["c",""]],"columns":2,"headers":["",""],"rows":3},"type":"table","version":{"major":0,"minor":0}},"transformer 1":{"graded":true,"options":{"correct":{"shape":{"coords":[[2,2],[2,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"drawSolutionShape":true,"gradeEmpty":false,"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"dynamic","starting":{"shape":{"coords":[[2,2],[2,6],[7,2]],"type":"polygon-3"},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":true,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[2,-4],[2,2]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":true,"required":false},"translation":{"constraints":{},"enabled":true,"required":false}},"version":1.2},"type":"transformer","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/1a/0c1f9885f62f.json b/data/questions/c9/1a/0c1f9885f62f.json new file mode 100644 index 0000000000..3ab0130d88 --- /dev/null +++ b/data/questions/c9/1a/0c1f9885f62f.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bb706c2b59923fa581b10198d8356b4e19cb2563","width":425},"correct":{"coords":[[-6,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/1b/8e6c9f87b410.json b/data/questions/c9/1b/8e6c9f87b410.json new file mode 100644 index 0000000000..f81787f920 --- /dev/null +++ b/data/questions/c9/1b/8e6c9f87b410.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=3e^{-0.2x}$ and let $g(x)=-2|x-3|+4$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $3e^{-0.2x}=-2|x-3|+4$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[3,4],[0,-2]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53ee732cb5f0c28c0d6595b4084b86bdc888a6b0","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":4.375},{"maxError":0.5,"message":"□□'□□ □□□□□ □□ □□□□ □□□ □□□□□□□ □□ □□□ □□□ □□□□□□□□□. □□□□ □□□□□□□□□□□□ □□□ □□□□□□ □□□□□□□□. ","simplify":"required","status":"wrong","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/22/ef1b889d43d5.json b/data/questions/c9/22/ef1b889d43d5.json new file mode 100644 index 0000000000..4d4b05d3dd --- /dev/null +++ b/data/questions/c9/22/ef1b889d43d5.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-4,4)$, and the upper-right coordinates are $(4,4)$. The rectangle has a perimeter of $20$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,2],[4,4],[-4,4],[-4,2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/23/b1a0d63253fb.json b/data/questions/c9/23/b1a0d63253fb.json new file mode 100644 index 0000000000..334d286478 --- /dev/null +++ b/data/questions/c9/23/b1a0d63253fb.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d918505e522ef82ac66762f934dd483fd89b2392","width":430,"height":430},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[3,-5]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/27/ac165e1a8780.json b/data/questions/c9/27/ac165e1a8780.json new file mode 100644 index 0000000000..bca4bb023c --- /dev/null +++ b/data/questions/c9/27/ac165e1a8780.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nNatalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.\n\n| | |\n- | :-: | :-:| :-:| :-:\nTargets hit | $1$| $2$| $5$ \nPoints | $3$ | $6$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Natalie's points proportional to the number of targets she hit?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,3],[2,6],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["$\\small{\\text{Targets hit}}$","$\\text{Points}$"],"markings":"graph","range":[[-0.5,7],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c9/36/b694917fe613.json b/data/questions/c9/36/b694917fe613.json new file mode 100644 index 0000000000..9d8988e69e --- /dev/null +++ b/data/questions/c9/36/b694917fe613.json @@ -0,0 +1 @@ +{"content":"**Make an obtuse angle by using the three black points as follows.** \n\n**Drag the vertex of the angle to place the vertex at the correct black point.** \n\n**Drag the points on the rays to make the rays go through the other two black points.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]\n\nThis is an obtuse angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":false},{"content":"□□□□□□□ □□□□","correct":true},{"content":"□□□□ □□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/bfcb35c923169cd2ac0d7dddb11af2cbaa655367.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-1.0414686265465378,-7.322622107854323],[-4,0],[-1.0167071907949135,7.383908811954882]],"snapDegrees":2,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":2,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/53/a3e551db5f34.json b/data/questions/c9/53/a3e551db5f34.json new file mode 100644 index 0000000000..efa5263649 --- /dev/null +++ b/data/questions/c9/53/a3e551db5f34.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(2,-6)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(2,-6)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ḟíìŕřśŝťț ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŚŜéèćĉóòńňďđ ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŤŢĥȟíìŕřďđ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"Ḟóòúùŕřťțĥȟ ʠúùáàďđŕřáàńňťț","correct":true},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c9/5a/fe2581d6a07a.json b/data/questions/c9/5a/fe2581d6a07a.json new file mode 100644 index 0000000000..fbc06c42f4 --- /dev/null +++ b/data/questions/c9/5a/fe2581d6a07a.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an acute angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n\n[[☃ interactive-graph 1]]\n\nThis is an acute angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":false},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":false},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/9d0b14f85f71aad5488abb536a89caa5a285518f.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[-1.9127597142317452,-1.9127597142317443],[2,2],[6.763219140870667,-9.221441081957153]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/69/eeff657a3d4e.json b/data/questions/c9/69/eeff657a3d4e.json new file mode 100644 index 0000000000..b1988b6ef6 --- /dev/null +++ b/data/questions/c9/69/eeff657a3d4e.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $5$ units in $t$ corresponds to an increase of $2$ units in $d$.\n \n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the line.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"0.4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/78/a8cef36383b7.json b/data/questions/c9/78/a8cef36383b7.json new file mode 100644 index 0000000000..774d0f44c5 --- /dev/null +++ b/data/questions/c9/78/a8cef36383b7.json @@ -0,0 +1 @@ +{"content":"**On the graph below, use the two points to draw a line through the point $(0,2)$ that will create a system of equations with *infinitely many* solutions.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/04257b560d4a77268df676e80ba639e4726efc2e.png","width":425},"correct":{"coords":[[0,2],[3,6]],"type":"linear"},"graph":{"type":"linear"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/c9/7c/91e3875b7304.json b/data/questions/c9/7c/91e3875b7304.json new file mode 100644 index 0000000000..0ab7b08a2e --- /dev/null +++ b/data/questions/c9/7c/91e3875b7304.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nThe cost to park in the downtown parking lot depends on the number of hours you park your car for. \n\n| | |\n- | :-: | :-:| :-:| :-:\nHours parked | $1$ | $5$| $12$ \nCost (in dollars) | $4$ | $10$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the cost of parking proportional to the number of hours parked?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,4],[5,10],[12,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Hours}$","$\\text{Cost}$"],"markings":"graph","range":[[-2,22],[-2,22]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/c9/7e/f0d77d2cbf81.json b/data/questions/c9/7e/f0d77d2cbf81.json new file mode 100644 index 0000000000..87f59d0f14 --- /dev/null +++ b/data/questions/c9/7e/f0d77d2cbf81.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Add $5$ to $x$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$2$ | [[☃ numeric-input 1]]\n$3$ | [[☃ numeric-input 2]]\n$4$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,7],[3,8],[4,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/84/b15f341d7d20.json b/data/questions/c9/84/b15f341d7d20.json new file mode 100644 index 0000000000..6669a84204 --- /dev/null +++ b/data/questions/c9/84/b15f341d7d20.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the triangle by connecting two black points.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/f63ceb348f447318484b079be697d96c9b7f112e.png","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-6,-6],[7,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/9d/0b4e0d81d47a.json b/data/questions/c9/9d/0b4e0d81d47a.json new file mode 100644 index 0000000000..3533c06b82 --- /dev/null +++ b/data/questions/c9/9d/0b4e0d81d47a.json @@ -0,0 +1 @@ +{"content":"crwdns3209068:0crwdne3209068:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/96c8c5f29345468ab6b0066b3f978293ab34cc69.png","width":425},"correct":{"coords":[[0,5],[-2,1],[2,-1]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/c9/aa/f99a4f2bb832.json b/data/questions/c9/aa/f99a4f2bb832.json new file mode 100644 index 0000000000..e024f10710 --- /dev/null +++ b/data/questions/c9/aa/f99a4f2bb832.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,0)$, and which has the point $(6,-8)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,0],"radius":10,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/bf/235c260f5b5e.json b/data/questions/c9/bf/235c260f5b5e.json new file mode 100644 index 0000000000..395bb802ec --- /dev/null +++ b/data/questions/c9/bf/235c260f5b5e.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}0 & 5 \\\\ -5 & 5\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}5 \\\\ 2\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e273fe0d304ea666acffdbfbbc2ff239f64d528","width":425},"correct":{"coords":[[[0,0],[10,-15]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/c1/928934800fdf.json b/data/questions/c9/c1/928934800fdf.json new file mode 100644 index 0000000000..5ad41a462d --- /dev/null +++ b/data/questions/c9/c1/928934800fdf.json @@ -0,0 +1 @@ +{"content":"[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"circle"},"correct":{"type":"circle","center":[1,1],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/c6/693d90aee945.json b/data/questions/c9/c6/693d90aee945.json new file mode 100644 index 0000000000..2a7a9b0a2b --- /dev/null +++ b/data/questions/c9/c6/693d90aee945.json @@ -0,0 +1 @@ +{"content":"**Graph $y=4x-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-9],[1,-5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/e4/573a7a4f2fc5.json b/data/questions/c9/e4/573a7a4f2fc5.json new file mode 100644 index 0000000000..f948cbb3dd --- /dev/null +++ b/data/questions/c9/e4/573a7a4f2fc5.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(4,8)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/c9/e9/de3aa70f8061.json b/data/questions/c9/e9/de3aa70f8061.json new file mode 100644 index 0000000000..9b10d6aaf5 --- /dev/null +++ b/data/questions/c9/e9/de3aa70f8061.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nThe number of songs that can fit on a hard drive depends on its storage space. \n\n| | |\n- | :-: | :-:| :-:| :-:\nSongs | $100$ | $200$| $400$ \nStorage space $(\\text{GB})$ | $0.5$ | $1$ | $2$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the number of songs that can fit on a hard drive proportional to its storage space?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[0.5,50],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Storage}$","$\\text{Songs}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,4.5],[-40,500]],"gridStep":[0.5,50],"snapStep":[0.25,25],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[0.5,100],[1,200],[2,400]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/ca/08/f962e3c6747d.json b/data/questions/ca/08/f962e3c6747d.json new file mode 100644 index 0000000000..80419b4559 --- /dev/null +++ b/data/questions/ca/08/f962e3c6747d.json @@ -0,0 +1 @@ +{"content":"crwdns3508255:0$x$crwdnd3508255:0$8$crwdnd3508255:0$2$crwdnd3508255:0$y$crwdnd3508255:0$4$crwdnd3508255:0$1$crwdnd3508255:0$3$crwdnd3508255:0$x$crwdnd3508255:0$y$crwdnd3508255:0$y$crwdnd3508255:0$x$crwdne3508255:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":"0.5"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["8","4"],["10","5"],["12","6"]],"columns":2,"headers":["crwdns2840617:0$x$crwdne2840617:0","crwdns3088131:0$y$crwdne3088131:0"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/0e/c2f01a934d09.json b/data/questions/ca/0e/c2f01a934d09.json new file mode 100644 index 0000000000..dcf4ab73c2 --- /dev/null +++ b/data/questions/ca/0e/c2f01a934d09.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $10$, नियम: $5$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $2$, नियम: $1$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.2},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[10,2],[15,3],[20,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,21],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["10","2"],["15","3"],["20","4"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/17/6d6686a51f09.json b/data/questions/ca/17/6d6686a51f09.json new file mode 100644 index 0000000000..3fe4fce0ca --- /dev/null +++ b/data/questions/ca/17/6d6686a51f09.json @@ -0,0 +1 @@ +{"content":"crwdns3144338:0$EARN$crwdne3144338:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e617a874c90b0d9be0b2754de38f288d6524bece","width":425},"correct":{"coords":[[-9,4],[-2,6],[-1,4],[-4,2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/35/3caeb7e19ebe.json b/data/questions/ca/35/3caeb7e19ebe.json new file mode 100644 index 0000000000..8a1c1273ed --- /dev/null +++ b/data/questions/ca/35/3caeb7e19ebe.json @@ -0,0 +1 @@ +{"content":"crwdns3457599:0$xcrwdne3457599:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/3e/7d628fd2f757.json b/data/questions/ca/3e/7d628fd2f757.json new file mode 100644 index 0000000000..05f4a1abed --- /dev/null +++ b/data/questions/ca/3e/7d628fd2f757.json @@ -0,0 +1 @@ +{"content":"crwdns3318040:0$ycrwdnd3318040:0$ycrwdnd3318040:0{-1}crwdne3318040:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/da880ac07e02c52696b26c3fd518680ef7acd660","width":425},"correct":{"coords":[[[1,-8],[-4,3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/47/72ffa734e9ca.json b/data/questions/ca/47/72ffa734e9ca.json new file mode 100644 index 0000000000..cc739240d8 --- /dev/null +++ b/data/questions/ca/47/72ffa734e9ca.json @@ -0,0 +1 @@ +{"content":"crwdns3458192:0crwdne3458192:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-5,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/51/7b9e9c3fd0ce.json b/data/questions/ca/51/7b9e9c3fd0ce.json new file mode 100644 index 0000000000..88a61a6349 --- /dev/null +++ b/data/questions/ca/51/7b9e9c3fd0ce.json @@ -0,0 +1 @@ +{"content":"Rico opens an ice cream shop. The function $f$ models the shop's net worth (in thousands of dollars) as a function of time (in months) after Rico opens it.\n\n**Plot the point on the graph of $f$ that corresponds to the shop's net worth when Rico opens it.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0556104f4a8ef7f6488919e51ad981bd722d40dd","width":400},"correct":{"coords":[[0,-5]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,7],[-12,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/5a/0a5a523b3c0c.json b/data/questions/ca/5a/0a5a523b3c0c.json new file mode 100644 index 0000000000..0287d208b3 --- /dev/null +++ b/data/questions/ca/5a/0a5a523b3c0c.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac34$ that contains the point $(2,-3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[2,-3],[6,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/5a/1954b1139976.json b/data/questions/ca/5a/1954b1139976.json new file mode 100644 index 0000000000..33bac5a754 --- /dev/null +++ b/data/questions/ca/5a/1954b1139976.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about the origin $(0,0)$ with a scale factor of $3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/49f97cd8b426879299a8aa88e1b58ffff078205a","width":425},"correct":{"coords":[[-6,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/7b/95a711958ba5.json b/data/questions/ca/7b/95a711958ba5.json new file mode 100644 index 0000000000..4ccdf32058 --- /dev/null +++ b/data/questions/ca/7b/95a711958ba5.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 5$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/83/6837acb6ec9a.json b/data/questions/ca/83/6837acb6ec9a.json new file mode 100644 index 0000000000..d6accb2bcf --- /dev/null +++ b/data/questions/ca/83/6837acb6ec9a.json @@ -0,0 +1 @@ +{"content":"Archimedes had a bath and then drained the water in his tub. The dashed line in the widget below describes the amount of water left in the tub (in liters) as a function of time (in minutes).\n\nA day later Archimedes had another bath, this time with $40$ liters of water more. When he drained the tub, the draining occurred at the same rate as before.\n\n**Drag the points to define the amount of water left in the tub as a function of time for the second day.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[0,400],[2,280]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24fd7b1842dc52b14b11ac8cc62e41688f98b06f","width":400},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,40],"labels":["\\text{Time}","\\text{Water}"],"markings":"none","range":[[-1,10],[-40,480]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,40],"step":[1,40],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/87/ccfb2d6a7f6a.json b/data/questions/ca/87/ccfb2d6a7f6a.json new file mode 100644 index 0000000000..0a4cd0fb42 --- /dev/null +++ b/data/questions/ca/87/ccfb2d6a7f6a.json @@ -0,0 +1 @@ +{"content":"crwdns3381067:0{25}crwdnd3381067:0{144}crwdne3381067:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/692a454abfe00fd439f8d9e0f86d09809fa7766d","width":425},"correct":{"coords":[[13,0],[-13,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/8c/bf40121bd5e2.json b/data/questions/ca/8c/bf40121bd5e2.json new file mode 100644 index 0000000000..e680c73d64 --- /dev/null +++ b/data/questions/ca/8c/bf40121bd5e2.json @@ -0,0 +1 @@ +{"content":"Max's Department Store receives stuffed bears in boxes that each contain $2$ stuffed bears.\n\n\n\n**Sketch a graph below that represents this relationship.**\n\n\n\n**Which of the following equations could be used to find the number of stuffed animals Max's Department Store receives, $y$, when they receive $3$ boxes?** \n\n[[☃ radio 1]]\n\n**Find $y$.**\n\n$y = $ [[☃ numeric-input 1]]\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-images.s3.amazonaws.com/ad576d51bec7f62583d5183843029c8ab9979bf5.png":{"height":382,"width":382}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\text{Boxes}","\\text{Bears}"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"answerForms":[],"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$\\dfrac{1}{2} = \\dfrac{3}{y}$","correct":true},{"content":"$\\dfrac{1}{2} = \\dfrac{y}{3}$"},{"content":"$\\dfrac{2}{1} = \\dfrac{y}{3}$","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/8d/84af2a2fec93.json b/data/questions/ca/8d/84af2a2fec93.json new file mode 100644 index 0000000000..f1c09a2275 --- /dev/null +++ b/data/questions/ca/8d/84af2a2fec93.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x(2x+3)(x-2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[-1.5,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/94/c49ef8c7cf33.json b/data/questions/ca/94/c49ef8c7cf33.json new file mode 100644 index 0000000000..275448734a --- /dev/null +++ b/data/questions/ca/94/c49ef8c7cf33.json @@ -0,0 +1 @@ +{"content":"Dudley wants to get in shape. He plans to burn $2000$ calories every week using a combination of the elliptical and the bike machine. The elliptical burns $500$ calories per hour, and the bike machine burns $400$ calories per hour. \n\n**Write an *inequality* that represents the number of hours Dudley must spend on the elliptical $(E)$ and on the bike machine $(B)$ in a week to burn at least $2000$ calories.** \n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $E$ on the horizontal axis and $B$ on the vertical axis.** \n\n[[☃ interactive-graph 1]]\n\n**If Dudley spends $2$ hours on the bike machine $(B)$, which of the following are numbers of hours he can spend on the elliptical trainer $(E)$ to meet or exceed his fitness goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"500E+400B>=2000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"500e+400b\\ge2000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":[],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,5],[4,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["E","B"],"markings":"graph","range":[[-0.5,7],[-0.5,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$1.5$","correct":false},{"content":"$2$","correct":false},{"content":"$2.5$","correct":true},{"content":"$3$ ","correct":true},{"content":"$3.5$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/9b/ab9ae698393c.json b/data/questions/ca/9b/ab9ae698393c.json new file mode 100644 index 0000000000..4dd5a192e6 --- /dev/null +++ b/data/questions/ca/9b/ab9ae698393c.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f\\left(-2x \\right)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[3,-6],[-2,4]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[4,4],"color":"grayH","filled":true},{"type":"point","coord":[-6,-6],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}]},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false},{"isNoneOfTheAbove":false,"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false}],"randomize":true,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"dropdown 1":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"up/down","choices":[{"content":"up","correct":false},{"content":"down","correct":true}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false},"version":{"major":0,"minor":0}},"dropdown 2":{"type":"dropdown","alignment":"default","static":false,"graded":true,"options":{"static":false,"placeholder":"right/left","choices":[{"content":"right","correct":true},{"content":"left","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/9f/5b346b501f1e.json b/data/questions/ca/9f/5b346b501f1e.json new file mode 100644 index 0000000000..cf11c367c6 --- /dev/null +++ b/data/questions/ca/9f/5b346b501f1e.json @@ -0,0 +1 @@ +{"content":"Natalie is an expert archer. The following table shows her scores (points) based on the number of targets she hit.\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nTargets hit | $1$| $2$| $5$ \nPoints | $3$ | $6$ | $15$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Are Natalie's points proportional to the number of targets she hit?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,3],[2,6],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["$\\small{\\text{Targets hit}}$","$\\text{Points}$"],"markings":"graph","range":[[-0.5,7],[-1,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□","correct":true},{"content":"□□","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ca/ae/ec630d7470d7.json b/data/questions/ca/ae/ec630d7470d7.json new file mode 100644 index 0000000000..ff13c75f49 --- /dev/null +++ b/data/questions/ca/ae/ec630d7470d7.json @@ -0,0 +1 @@ +{"content":"The interactive graph below contains the graph of $y=\\log_2(x)$ as a dashed curve, with the points $(1,0)$ and $(2,1)$ highlighted.\n\n**Adjust the movable graph to draw $y=4\\log_2(x+6)-7$.**\n\n[[☃ grapher 2]]","images":{},"widgets":{"grapher 2":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-6,-10],[-6,10]],"coords":[[-4,-3],[-5,-7]],"type":"logarithm"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ca5bbe65051d1e84dc6c0965865ce61402997946","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/b4/cae8b24d5e85.json b/data/questions/ca/b4/cae8b24d5e85.json new file mode 100644 index 0000000000..affd898d21 --- /dev/null +++ b/data/questions/ca/b4/cae8b24d5e85.json @@ -0,0 +1 @@ +{"content":"crwdns3139205:0$M$crwdnd3139205:0$3$crwdnd3139205:0$Mcrwdne3139205:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/473b029fdd1c64c9461b66876f702f6bf54d3612":{"height":425,"width":425}},"widgets":{"interaction 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1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3139236:0$A$crwdne3139236:0","correct":false},{"content":"crwdns3139237:0$B$crwdne3139237:0","correct":true},{"content":"crwdns3139238:0$C$crwdne3139238:0","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/cb/61ba8d5095e6.json b/data/questions/ca/cb/61ba8d5095e6.json new file mode 100644 index 0000000000..eb225145d6 --- /dev/null +++ b/data/questions/ca/cb/61ba8d5095e6.json @@ -0,0 +1 @@ +{"content":"**Graph $x=-1$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 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f(x)=-6x^2+6x-6$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[0.5,-4.5],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 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Plot the resulting quadrilateral.** \n\n$R=\\left[\\begin{array} {ccc}\n-\\dfrac{1}{3} & 0 \\\\\n0 & \\dfrac{1}{3} \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bdead6cb2302029fd92cf4c8d4867d159e0edcdf","width":425},"correct":{"coords":[[-1,-1],[-3,-1],[-3,-2],[-1,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/f5/1d19dc1f6a1d.json b/data/questions/ca/f5/1d19dc1f6a1d.json new file mode 100644 index 0000000000..070861e000 --- /dev/null +++ b/data/questions/ca/f5/1d19dc1f6a1d.json @@ -0,0 +1 @@ +{"content":"**Construct a $55^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6731ea2cba299721285a1824357747498d08c733.png":{"height":303,"width":368},"https://ka-perseus-images.s3.amazonaws.com/676a5fb254816665fe3cc73f46af8a10085cc533.png":{"height":306,"width":223}},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5830ac6bfcc380f5d90edd20c90416ed4010dfaf","width":425},"correct":{"coords":[[0,-1],[4,-1],[1,5],[2,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/fb/351a671e70ff.json b/data/questions/ca/fb/351a671e70ff.json new file mode 100644 index 0000000000..d5379d632d --- /dev/null +++ b/data/questions/ca/fb/351a671e70ff.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=\\dfrac{1}{4}(x -1)(x +7)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-3,-4],[1,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/fd/ac6bfea0c1a0.json b/data/questions/ca/fd/ac6bfea0c1a0.json new file mode 100644 index 0000000000..0a7de7b239 --- /dev/null +++ b/data/questions/ca/fd/ac6bfea0c1a0.json @@ -0,0 +1 @@ +{"content":"crwdns6902024:0$hcrwdne6902024:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[1,2],[1.5,5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ca/ff/3db5226a3414.json b/data/questions/ca/ff/3db5226a3414.json new file mode 100644 index 0000000000..e0787ceab8 --- /dev/null +++ b/data/questions/ca/ff/3db5226a3414.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the dashed, green line segment shown below. \n \n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9782af40bdfc1ae2cb7a19172a00ef4aa2e92f5","width":425},"correct":{"coords":[[[8,3],[5,-2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/03/98d820a83424.json b/data/questions/cb/03/98d820a83424.json new file mode 100644 index 0000000000..57c5ce510d --- /dev/null +++ b/data/questions/cb/03/98d820a83424.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $5$ units to the right.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5c496153513860da86fabcd3eb6a8ddfc2e43fa6","width":425},"correct":{"coords":[[5,-5],[4,2],[-1,1],[-2,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/1c/0bee26c5792e.json b/data/questions/cb/1c/0bee26c5792e.json new file mode 100644 index 0000000000..92254fc692 --- /dev/null +++ b/data/questions/cb/1c/0bee26c5792e.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $5$ units to the left and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/87c224f2c1a92956c8569cba054388029f37249b","width":425},"correct":{"coords":[[-2,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/25/7da500a67bb8.json b/data/questions/cb/25/7da500a67bb8.json new file mode 100644 index 0000000000..d4c6183167 --- /dev/null +++ b/data/questions/cb/25/7da500a67bb8.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$120$|$6$|$24$|$2$|$1$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d2896239bfd9b195b0ce07265fa6e275543a64b3","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-1]],[[-5,0],[5,-4]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":true,"content":"$f$ is invertible"},{"correct":false,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/cb/2b/62e6369a51fe.json b/data/questions/cb/2b/62e6369a51fe.json new file mode 100644 index 0000000000..98a0cf0595 --- /dev/null +++ b/data/questions/cb/2b/62e6369a51fe.json @@ -0,0 +1 @@ +{"content":"crwdns4071475:0crwdne4071475:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[8,0],[8,7],[0,0],[2,-6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/2c/8b3a128b21ce.json b/data/questions/cb/2c/8b3a128b21ce.json new file mode 100644 index 0000000000..6210d3eb11 --- /dev/null +++ b/data/questions/cb/2c/8b3a128b21ce.json @@ -0,0 +1 @@ +{"content":"crwdns3144069:0{TRY}crwdnd3144069:0$ycrwdnd3144069:0{1}crwdnd3144069:0{3}crwdne3144069:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad75d041b76209ed3528c53beedbb12b7ab94c86","width":425},"correct":{"coords":[[-1,8],[4,3],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2f4342502840839769a07b4a35a13833e4e3cc2f","width":425},"correct":{"coords":[[-7,-1],[5,3],[1,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/30/2d8269af7495.json b/data/questions/cb/30/2d8269af7495.json new file mode 100644 index 0000000000..e7b9121525 --- /dev/null +++ b/data/questions/cb/30/2d8269af7495.json @@ -0,0 +1 @@ +{"content":"**Construct a $40^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6a9d47bff1d091f5641829ef730c752e47cb1fa5.png":{"height":188,"width":213},"https://ka-perseus-images.s3.amazonaws.com/9b8635d5383360d94418c0785ecac627bf2690b1.png":{"height":207,"width":376}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6.346730705020751,5.325539393764433],[0,0],[-7.530523827277034,1.7763568394002505e-15]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/31/54a41065cb5e.json b/data/questions/cb/31/54a41065cb5e.json new file mode 100644 index 0000000000..9a5acc54aa --- /dev/null +++ b/data/questions/cb/31/54a41065cb5e.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e652b3064de8c8ebb74ab335f31fa4f1d7db550f","width":425},"correct":{"coords":[[5,2],[-3,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/3e/57eea70017a6.json b/data/questions/cb/3e/57eea70017a6.json new file mode 100644 index 0000000000..f4cae167b6 --- /dev/null +++ b/data/questions/cb/3e/57eea70017a6.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1,7)$, and the upper-right coordinates are $(4,7)$. The rectangle has an area of $20$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"height":425,"width":440}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[4,3],[4,7],[-1,7],[-1,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/4a/a2130bc51e0e.json b/data/questions/cb/4a/a2130bc51e0e.json new file mode 100644 index 0000000000..e8c0bc21fc --- /dev/null +++ b/data/questions/cb/4a/a2130bc51e0e.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{x^2}{625}-\\dfrac{y^2}{3600}=1$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f0644e6497304b33a555e45a9c38f945d298b0a","width":425},"correct":{"coords":[[65,0],[-65,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["□","□"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/4b/feecdc9f9cfc.json b/data/questions/cb/4b/feecdc9f9cfc.json new file mode 100644 index 0000000000..7e90dc0c8c --- /dev/null +++ b/data/questions/cb/4b/feecdc9f9cfc.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{5}x^2+2x-1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,4],[0,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/52/8e82adc33393.json b/data/questions/cb/52/8e82adc33393.json new file mode 100644 index 0000000000..f1451a39b2 --- /dev/null +++ b/data/questions/cb/52/8e82adc33393.json @@ -0,0 +1 @@ +{"content":"**Construct a $180^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/8ba9a1c7fe79fdc1624d2769481c3ff6ad505501.png":{"height":79,"width":403}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/5d/77572a44e7ed.json b/data/questions/cb/5d/77572a44e7ed.json new file mode 100644 index 0000000000..bfc5fd54ae --- /dev/null +++ b/data/questions/cb/5d/77572a44e7ed.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cdc1f82756f42b1677a2409e287607ab0392a239","width":400},"correct":{"coords":[[[2,5],[5,0]],[[2,2],[5,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/6c/6d461e8bdd04.json b/data/questions/cb/6c/6d461e8bdd04.json new file mode 100644 index 0000000000..2556b7da1c --- /dev/null +++ b/data/questions/cb/6c/6d461e8bdd04.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $8$, $15$, and $17$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.329896834046583,4.941176470588228],[3.3298968224860417,19.941176464422607],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/76/414d473f62bd.json b/data/questions/cb/76/414d473f62bd.json new file mode 100644 index 0000000000..7912fb00b5 --- /dev/null +++ b/data/questions/cb/76/414d473f62bd.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec u$ and $\\vec w$:\n\n$\\begin{align}\n\\vec u&=(2,5)\n\\\\\\\\\n\\vec w&=(3,-2)\n\\end{align}$\n\n*Answer two questions about the subtraction $\\vec u-\\vec w$.*\n\nPerforming the subtraction using the parallelogram rule, with $\\vec u$ and $-\\vec w$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the difference.**\n\n$\\vec u-\\vec w=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[0,0],[2,5],[-1,7],[-3,2]],"snapTo":"grid"}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/77/23de1eaefd99.json b/data/questions/cb/77/23de1eaefd99.json new file mode 100644 index 0000000000..3f945eb976 --- /dev/null +++ b/data/questions/cb/77/23de1eaefd99.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=- 2^{-x}-x+5$ and let $g(x)=3|x-1|-3$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $- 2^{-x}-x+5=3|x-1|-3$, where $x_1-4$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265,"height":265},"labels":[],"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"![A ray of a linear function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 4, negative 4). There is a line extending from this point upwards and to the left terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/800719a09ad96ff3018d1830d04cd5a1a5c4acaa)"},{"correct":false,"content":"![A ray of a linear function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 4, negative 4). There is a line extending from this point upwards and to the left terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/8124a2fd4c59139fd10270b39ec717d07d5e15c0)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of a linear function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 4, negative 4). There is a line extending from this point downwards and to the right terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/47d72421559ca01dc1d1fbc8ed0a02bc0a38666d)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of a linear function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 4, negative 4). There is a line extending from this point downwards and to the right terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/5140bdd36a59ac0ae5d284546fd72e94153e6eb5)"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/cb/f4/388fda0e1f95.json b/data/questions/cb/f4/388fda0e1f95.json new file mode 100644 index 0000000000..d1244ec51e --- /dev/null +++ b/data/questions/cb/f4/388fda0e1f95.json @@ -0,0 +1 @@ +{"content":"**Use the line segments to connect all possible pairs of the points $\\text{A}$, $\\text{B}$, and $\\text{C}$. Then complete the statement below. **\n\n[[☃ interactive-graph 1]]\n\nThese are line segments because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3c380a18488dfcb7193ce11734cfca2eff34660","width":400},"correct":{"coords":[[[2,6],[-2,-6]],[[2,6],[6,-2]],[[-2,-6],[6,-2]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cb/fb/288f46c8c1bd.json b/data/questions/cb/fb/288f46c8c1bd.json new file mode 100644 index 0000000000..37f952c3b4 --- /dev/null +++ b/data/questions/cb/fb/288f46c8c1bd.json @@ -0,0 +1 @@ +{"content":"crwdns3209055:0$STORK$crwdnd3209055:0$x$crwdne3209055:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3289e7304aaf69d1f6d63c84027801a18803f997.png","width":425},"correct":{"coords":[[3,5],[-2,2],[1,-7],[8,-5],[7,2]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/07/bc1cd7c93a26.json b/data/questions/cc/07/bc1cd7c93a26.json new file mode 100644 index 0000000000..6af4f3639e --- /dev/null +++ b/data/questions/cc/07/bc1cd7c93a26.json @@ -0,0 +1 @@ +{"content":"**6. Grapher**\n\nMove the points to $(0,4)$ and $(4,0)$\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[1.5,2.5],[4.5,-0.5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/0d/d543ad652d3a.json b/data/questions/cc/0d/d543ad652d3a.json new file mode 100644 index 0000000000..26eeb85a72 --- /dev/null +++ b/data/questions/cc/0d/d543ad652d3a.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $1$, नियम: $1$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $6$, नियम: $6$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,6],[2,12],[3,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["1","6"],["2","12"],["3","18"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/1b/268d14926a2d.json b/data/questions/cc/1b/268d14926a2d.json new file mode 100644 index 0000000000..651156bac4 --- /dev/null +++ b/data/questions/cc/1b/268d14926a2d.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ec811f8a8b4fc25afea1ad8f64d4211ded4d8ba","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[7,-1],[-5,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/46/db1127e3c7ea.json b/data/questions/cc/46/db1127e3c7ea.json new file mode 100644 index 0000000000..99bc2cb9df --- /dev/null +++ b/data/questions/cc/46/db1127e3c7ea.json @@ -0,0 +1 @@ +{"content":"crwdns3389876:0$R$crwdnd3389876:0$Rcrwdnd3389876:0{array}crwdnd3389876:0{ccc}crwdnd3389876:0{array}crwdne3389876:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/811740f2457b0b18982a29944b4c775fd53f92e4","width":425},"correct":{"coords":[[3,-3],[3,5],[8,0]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/4c/55cced002d0b.json b/data/questions/cc/4c/55cced002d0b.json new file mode 100644 index 0000000000..6bdada6c3a --- /dev/null +++ b/data/questions/cc/4c/55cced002d0b.json @@ -0,0 +1 @@ +{"content":"**Which graph shows an exponential function with a domain of all real values of $x$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b093b6311e43ab359b5cb3aa7342d7ccfe237b5","width":265,"height":265},"labels":[],"alt":"","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"![An exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has arrows at the edge of the graph on either end.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/58eba3557f395a5808e1465586bcbfb01b387b04)"},{"correct":false,"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the right edge and ends on the left side in an open, unfilled circle at (negative 6, 8).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/919f6bbed9a4ac4eb579579860bdc82b0a4eebbf)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve has an arrow at the left edge and ends on the right side in an open, unfilled circle at (8, 0 point 2).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d0ccbf359ebf548001065c67336d0f14b9a71d62)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A segment of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. The curve ends on the left side in an open, unfilled circle at (negative 6, 8) and ends on the right side in an open, unfilled circle at (8, 0 point 2).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/45c1908a390bef289064182b046d113adbe6831b)"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/cc/4d/b2dccb70c25f.json b/data/questions/cc/4d/b2dccb70c25f.json new file mode 100644 index 0000000000..4f7b1a932e --- /dev/null +++ b/data/questions/cc/4d/b2dccb70c25f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $3$ units to the left and $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1a4f1df8580a3b9d23b5d9f2674250fc3efb2f20","width":425},"correct":{"coords":[[-5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/58/85a907353b54.json b/data/questions/cc/58/85a907353b54.json new file mode 100644 index 0000000000..6fdd275f99 --- /dev/null +++ b/data/questions/cc/58/85a907353b54.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 4|x+6|-8, ~~\\text{Domain}~~[-8,-2]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-8},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-8,0],[-6,-8]],[[-2,8],[-6,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/cc/61/ebe22a88f68b.json b/data/questions/cc/61/ebe22a88f68b.json new file mode 100644 index 0000000000..098cbbaa0a --- /dev/null +++ b/data/questions/cc/61/ebe22a88f68b.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-0.25(x+4)^2-1.5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-4,-1.5],[0,-5.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/6e/0af2182f4e6b.json b/data/questions/cc/6e/0af2182f4e6b.json new file mode 100644 index 0000000000..b4ed9870a0 --- /dev/null +++ b/data/questions/cc/6e/0af2182f4e6b.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& y=2x-4\n\\\\\\\\\n& y=6x+4\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,-4],[1,-2]],[[0,4],[-1,-2]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"□□□□□ □□□□□□","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-8}],"coefficient":false,"labelText":"□□□□□ □□□□□□","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/76/0090cd3cfa79.json b/data/questions/cc/76/0090cd3cfa79.json new file mode 100644 index 0000000000..6a9c8ccd43 --- /dev/null +++ b/data/questions/cc/76/0090cd3cfa79.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(0, 8\\dfrac12)$, $(-4,-9)$, and $(-6,5)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,5],[0,8.5],[-4,-9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/77/07e3d2efbd6c.json b/data/questions/cc/77/07e3d2efbd6c.json new file mode 100644 index 0000000000..08f2a13d2c --- /dev/null +++ b/data/questions/cc/77/07e3d2efbd6c.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(5, 5), (-3, 4), (-4.5, -4), (1, -5), (9, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,5],[-3,4],[-4.5,-4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/cc/7a/45a397624ed6.json b/data/questions/cc/7a/45a397624ed6.json new file mode 100644 index 0000000000..381100c401 --- /dev/null +++ b/data/questions/cc/7a/45a397624ed6.json @@ -0,0 +1 @@ +{"content":"crwdns3890749:0{x}crwdnd3890749:0{array}crwdnd3890749:0{rr}crwdnd3890749:0{array}crwdnd3890749:0{v}crwdnd3890749:0{v}crwdnd3890749:0{array}crwdnd3890749:0{r}crwdnd3890749:0{array}crwdne3890749:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a6acfcd193b332780da4d759b06edfaa8aee642b","width":425},"correct":{"coords":[[[0,0],[20,20]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/a1/47caf5f9fd48.json b/data/questions/cc/a1/47caf5f9fd48.json new file mode 100644 index 0000000000..3d97c2762b --- /dev/null +++ b/data/questions/cc/a1/47caf5f9fd48.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -2|x-5|+6, ~~\\text{Domain}~~[-2,9]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"6"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[5,6],[9,-2]],[[-2,-8],[5,6]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/cc/a7/0113de9049c9.json b/data/questions/cc/a7/0113de9049c9.json new file mode 100644 index 0000000000..c4f4eb70b9 --- /dev/null +++ b/data/questions/cc/a7/0113de9049c9.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-6(x -2)(x)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,6],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/af/34a6f97fba59.json b/data/questions/cc/af/34a6f97fba59.json new file mode 100644 index 0000000000..3a010d8649 --- /dev/null +++ b/data/questions/cc/af/34a6f97fba59.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a reflection across the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/48a4f7d258d34b65626e17c807062914a87f8a3d","width":425},"correct":{"coords":[[-3,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/c0/34b60bf58ff3.json b/data/questions/cc/c0/34b60bf58ff3.json new file mode 100644 index 0000000000..be41b2eebc --- /dev/null +++ b/data/questions/cc/c0/34b60bf58ff3.json @@ -0,0 +1 @@ +{"content":"**त्रिभुज $\\triangle ABC$ का प्रतिबिंब रेखा $\\ell$ पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/437f335cea5f258836c2ea16748446a968479e2b","width":400},"correct":{"coords":[[5,-5],[4,-2],[2,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/c3/0b334f596039.json b/data/questions/cc/c3/0b334f596039.json new file mode 100644 index 0000000000..257d8d0629 --- /dev/null +++ b/data/questions/cc/c3/0b334f596039.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 3-7i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/c5/ded42393fa52.json b/data/questions/cc/c5/ded42393fa52.json new file mode 100644 index 0000000000..9abdcd5de3 --- /dev/null +++ b/data/questions/cc/c5/ded42393fa52.json @@ -0,0 +1 @@ +{"content":"**Graph $x=2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-7,7],[-7,7]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[2,4],[2,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/c8/10371b6db1be.json b/data/questions/cc/c8/10371b6db1be.json new file mode 100644 index 0000000000..3fe59b156d --- /dev/null +++ b/data/questions/cc/c8/10371b6db1be.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $PIKE$ after a translation by $\\langle-3,-10\\rangle$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d69287c4a33665883c46c2e33cdec55552dd7716.png","width":425},"correct":{"coords":[[4,-5],[5,-3],[0,-4],[-1,-8]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/cc/c8/b40cfb5fdf83.json b/data/questions/cc/c8/b40cfb5fdf83.json new file mode 100644 index 0000000000..593550b99d --- /dev/null +++ b/data/questions/cc/c8/b40cfb5fdf83.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph below.**\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3216a52ee53834c339e0fcc3cccca4e450f2cd6e","width":425},"correct":{"coords":[[5,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/fa/c5577603373d.json b/data/questions/cc/fa/c5577603373d.json new file mode 100644 index 0000000000..745cef56a3 --- /dev/null +++ b/data/questions/cc/fa/c5577603373d.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb9e6939086d4aad4fff70e6878fa43be30e40e0","width":430},"correct":{"coords":[[7,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/fc/8758fdf3b05d.json b/data/questions/cc/fc/8758fdf3b05d.json new file mode 100644 index 0000000000..8f57e64549 --- /dev/null +++ b/data/questions/cc/fc/8758fdf3b05d.json @@ -0,0 +1 @@ +{"content":"crwdns6902060:0$gcrwdnd6902060:0{2}crwdnd6902060:0{2}crwdne6902060:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4,-2],[3,3]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cc/fc/e0b8d76ba698.json b/data/questions/cc/fc/e0b8d76ba698.json new file mode 100644 index 0000000000..ae578d9ac6 --- /dev/null +++ b/data/questions/cc/fc/e0b8d76ba698.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d8242f544fbba5a75118458d7fcdffdffa17e5fe","width":425},"correct":{"coords":[[-3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/08/36c629a68600.json b/data/questions/cd/08/36c629a68600.json new file mode 100644 index 0000000000..092209dd1b --- /dev/null +++ b/data/questions/cd/08/36c629a68600.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot 2^{x-4}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[4,-3],[5,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/09/f1e0d4b6ea4f.json b/data/questions/cd/09/f1e0d4b6ea4f.json new file mode 100644 index 0000000000..2988bf86f6 --- /dev/null +++ b/data/questions/cd/09/f1e0d4b6ea4f.json @@ -0,0 +1 @@ +{"content":"Johannes earns $\\$6$ for every day he cleans his house, and $\\$10$ for every day he mows the lawn. His parents give him at most $\\$120$ in a month for doing these chores.\n\nThe following inequality represents how much money Johannes can earn in a month for cleaning the house $(H)$ and mowing the lawn $(L)$ :\n\n$\\qquad 6\\ H+10\\ L \\leq 120$\n\n**Graph the boundary line of the inequality above with $H$ on the horizontal axis and $L$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n\n**If Johannes cleans the house for $10$ days, for how many days should he mow the lawn to make the most money he can earn in a month?**\n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100m+4s\\le1000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"100M+4S\\le1000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"expression 2":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100m+4s\\le2000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"100M+4S\\le2000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,12],[20,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["H","L"],"markings":"graph","range":[[-1,25],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Johannes should mow the lawn for $6$ days.","correct":true},{"content":"Johannes should mow the lawn for $4$ days.","correct":false},{"content":"Johannes should mow the lawn for $2$ days.","correct":false,"isNoneOfTheAbove":false},{"content":"Johannes should mow the lawn for $8$ days.","correct":false,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/cd/12/5d748c84e9b6.json b/data/questions/cd/12/5d748c84e9b6.json new file mode 100644 index 0000000000..52e1d01415 --- /dev/null +++ b/data/questions/cd/12/5d748c84e9b6.json @@ -0,0 +1 @@ +{"content":"Marty is trying to choose a cable TV package. He has several different options that are priced differently based on the number of channels that he buys. He's used the line $y = 0.25x + 15$ to model the monthly price in dollars as a function of the number of channels in the TV package.\n\n**In the table below, calculate the residual value for each point. Then plot the residuals on the graph below.** \n\n**Which of the following changes would improve the fit of the model?** \n\n[[☃ radio 1]]\n\n | | | || | |\n- | - | -\n**Channels** | $20$| $40$ | $60$ | $80$|$100$|$120$ \n**Price ($\\$$)** | $16$ | $19$| $25.5$ | $29.5$| $34$|$40.5$| \n**Residual value** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]]\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-4},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number"},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-4.5},"type":"input-number"},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-5.5},"type":"input-number"},"input-number 5":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number"},"input-number 6":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-4.5},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[120,-4.5],[80,-5.5],[40,-6],[100,-6],[60,-4.5],[20,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["x","y"],"markings":"graph","range":[[-5,125],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.5],"step":[20,1]},"type":"interactive-graph"},"radio 1":{"graded":true,"options":{"choices":[{"content":"Increase the slope of the line.","correct":false},{"content":"Decrease the slope of the line.","correct":false},{"content":"Increase the y-intercept of the line.","correct":false},{"content":"Decrease the y-intercept of the line.","correct":true},{"content":"None of the above - the model is a good fit for the data.","correct":false}],"multipleSelect":true,"randomize":false},"type":"radio"}}} diff --git a/data/questions/cd/1e/6dfd6d4fb0a1.json b/data/questions/cd/1e/6dfd6d4fb0a1.json new file mode 100644 index 0000000000..19c821d1d7 --- /dev/null +++ b/data/questions/cd/1e/6dfd6d4fb0a1.json @@ -0,0 +1 @@ +{"content":"crwdns2988141:0crwdne2988141:0","images":{"https://ka-perseus-images.s3.amazonaws.com/187e403b057d06ed5994eb427f7a6ed140bf76f2.png":{"height":172,"width":172},"https://ka-perseus-images.s3.amazonaws.com/60b8fea2f9c36cc28d4b71f39ada0d288c40e11e.png":{"height":387,"width":359}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,-0.5275737288297861],[0,-9],[-8.765495424367186,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/21/aab5153e421c.json b/data/questions/cd/21/aab5153e421c.json new file mode 100644 index 0000000000..ce68608964 --- /dev/null +++ b/data/questions/cd/21/aab5153e421c.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac{1}{5}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a4acd095a715ec676b04c3c289a1a4199db75dbc","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-1,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/33/92d2b7f4a658.json b/data/questions/cd/33/92d2b7f4a658.json new file mode 100644 index 0000000000..2e166df61f --- /dev/null +++ b/data/questions/cd/33/92d2b7f4a658.json @@ -0,0 +1 @@ +{"content":"crwdns3382746:0crwdne3382746:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,8],[9,8],[1,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/3a/09d3a58ec21c.json b/data/questions/cd/3a/09d3a58ec21c.json new file mode 100644 index 0000000000..5fc0a9bca1 --- /dev/null +++ b/data/questions/cd/3a/09d3a58ec21c.json @@ -0,0 +1 @@ +{"content":"**Construct a $100^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/93a18d5bd6725c68ae6719b74dc144d4277dfab8.png":{"height":182,"width":193}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1.4747929227018772,-0.6360337097799817],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/54/e80bfb6ca686.json b/data/questions/cd/54/e80bfb6ca686.json new file mode 100644 index 0000000000..6b07457259 --- /dev/null +++ b/data/questions/cd/54/e80bfb6ca686.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\log_2(-x+1)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"logarithm","asymptote":[[1,-10],[1,10]],"coords":[[-1,-3],[0,0]]},"availableTypes":["logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/57/895e57f89b8e.json b/data/questions/cd/57/895e57f89b8e.json new file mode 100644 index 0000000000..aedb609833 --- /dev/null +++ b/data/questions/cd/57/895e57f89b8e.json @@ -0,0 +1 @@ +{"content":"crwdns6902014:0$ycrwdne6902014:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[1,3],[0,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/5b/14d8705a688b.json b/data/questions/cd/5b/14d8705a688b.json new file mode 100644 index 0000000000..f04b4cb4ed --- /dev/null +++ b/data/questions/cd/5b/14d8705a688b.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=x+3^x$ and let $g(x)=-0.5(x+2)^2+4$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $x+3^x=-0.5(x+2)^2+4$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-2,4],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/27f164c2c97422a0dddfe2c5d4a12c7ff4b0a2e1","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":0.23},{"maxError":0.5,"message":"□□'□□ □□□□□ □□ □□□□ □□□ □□□□□□□ □□ □□□ □□□ □□□□□□□□□. □□□□ □□□□□□□□□□□□ □□□ □□□□□□ □□□□□□□□. ","simplify":"required","status":"wrong","strict":false,"value":-6.6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/5c/ef5742a6aa75.json b/data/questions/cd/5c/ef5742a6aa75.json new file mode 100644 index 0000000000..517bcc0cbb --- /dev/null +++ b/data/questions/cd/5c/ef5742a6aa75.json @@ -0,0 +1 @@ +{"content":"crwdns3381068:0{5625}crwdnd3381068:0{1600}crwdne3381068:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/987cb45ab8c06d40b7af89d46bb0bc234dfc580c","width":425},"correct":{"coords":[[85,0],[-85,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/6b/652f6d341109.json b/data/questions/cd/6b/652f6d341109.json new file mode 100644 index 0000000000..9cf0b3b7f7 --- /dev/null +++ b/data/questions/cd/6b/652f6d341109.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the left and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a19d38e107f52c35d0efd4689b090799e23a12b5","width":425},"correct":{"coords":[[0,0],[-3,6],[-3,0],[-6,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/9d/1dae010c7823.json b/data/questions/cd/9d/1dae010c7823.json new file mode 100644 index 0000000000..0b7c39d20a --- /dev/null +++ b/data/questions/cd/9d/1dae010c7823.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=4\\log_2(x+6)-8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-6,-10],[-6,10]],"coords":[[2,4],[-2,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/b0/19fe92da9454.json b/data/questions/cd/b0/19fe92da9454.json new file mode 100644 index 0000000000..0f35fdfa98 --- /dev/null +++ b/data/questions/cd/b0/19fe92da9454.json @@ -0,0 +1 @@ +{"content":"crwdns3318333:0$hcrwdnd3318333:0$gcrwdne3318333:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-1,-8],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b7eec7ca584b1d5d87cc7415c3a238a9d678a7bc","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/b4/956d7348f34e.json b/data/questions/cd/b4/956d7348f34e.json new file mode 100644 index 0000000000..fdba69a927 --- /dev/null +++ b/data/questions/cd/b4/956d7348f34e.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+(y-5)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/c1/46a0c073e060.json b/data/questions/cd/c1/46a0c073e060.json new file mode 100644 index 0000000000..4c73e35195 --- /dev/null +++ b/data/questions/cd/c1/46a0c073e060.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2(x-2)^2+2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,2],[1,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/c1/7a6c03846266.json b/data/questions/cd/c1/7a6c03846266.json new file mode 100644 index 0000000000..66ea55e1b6 --- /dev/null +++ b/data/questions/cd/c1/7a6c03846266.json @@ -0,0 +1 @@ +{"content":"Graph the following inequality:\n\n$\\qquad y < \\dfrac{5}{3}x-4$\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side button* \n\n*Solid/dashed line button*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(-6,-6)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Yes","correct":false,"clue":"Be careful to shade the correct side!"},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":false,"deselectEnabled":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1,1],[0,6]]}},"version":{"major":0,"minor":0}},"dropdown 1":{"type":"dropdown","graded":true,"options":{"placeholder":"","choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":0.5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":-1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/d2/6ec69e8d7b65.json b/data/questions/cd/d2/6ec69e8d7b65.json new file mode 100644 index 0000000000..e58ab7367a --- /dev/null +++ b/data/questions/cd/d2/6ec69e8d7b65.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle JAY$ after reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/c99c1f4144ad6037fac012e4bf4fbcb385135397.png","width":425},"correct":{"coords":[[4,5],[-6,4],[-4,-2]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/cd/d2/9d3dc7d4a54b.json b/data/questions/cd/d2/9d3dc7d4a54b.json new file mode 100644 index 0000000000..1b70f3f3bf --- /dev/null +++ b/data/questions/cd/d2/9d3dc7d4a54b.json @@ -0,0 +1 @@ +{"content":"**Plot the real zeros of the given polynomial on the graph below.**\n\n$\\qquad p(x)=2x^5+x^4-2x-1$\n\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,0],[-1,0],[-0.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/cd/dd/803d47ee9c8c.json b/data/questions/cd/dd/803d47ee9c8c.json new file mode 100644 index 0000000000..27dd1e25f4 --- /dev/null +++ b/data/questions/cd/dd/803d47ee9c8c.json @@ -0,0 +1 @@ +{"content":"crwdns3357021:0$ycrwdne3357021:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm","exponential"],"correct":{"asymptote":[[-2,-10],[-2,10]],"coords":[[-1,0],[2,-2]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/de/e2b6c53f02c3.json b/data/questions/cd/de/e2b6c53f02c3.json new file mode 100644 index 0000000000..f285fe4ec9 --- /dev/null +++ b/data/questions/cd/de/e2b6c53f02c3.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/437f335cea5f258836c2ea16748446a968479e2b","width":400},"correct":{"coords":[[5,-5],[4,-2],[2,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/e7/a3ae5c1025c6.json b/data/questions/cd/e7/a3ae5c1025c6.json new file mode 100644 index 0000000000..9cc8424694 --- /dev/null +++ b/data/questions/cd/e7/a3ae5c1025c6.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8cccdd97deed7f40daac297af73ab66c63135033","width":425},"correct":{"coords":[[4,-2],[1,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/ec/2c4f4e26eef9.json b/data/questions/cd/ec/2c4f4e26eef9.json new file mode 100644 index 0000000000..99ea8d0b90 --- /dev/null +++ b/data/questions/cd/ec/2c4f4e26eef9.json @@ -0,0 +1 @@ +{"content":"crwdns3354909:0$m$crwdnd3354909:0$z_1$crwdnd3354909:0$z_2$crwdne3354909:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/43ff893213c3df88e93b7b00115a42197d8555af","width":430},"correct":{"coords":[[1.5,-2.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/ec/ad01bb98687c.json b/data/questions/cd/ec/ad01bb98687c.json new file mode 100644 index 0000000000..697cebfbfc --- /dev/null +++ b/data/questions/cd/ec/ad01bb98687c.json @@ -0,0 +1 @@ +{"content":"crwdns4115747:0$Q$crwdnd4115747:0$4$crwdnd4115747:0$1$crwdne4115747:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b07152498a84c8447f211b57cd7aff1a5a7b754d","width":425},"correct":{"coords":[[5,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/f1/e9f8df9e6a54.json b/data/questions/cd/f1/e9f8df9e6a54.json new file mode 100644 index 0000000000..280a5b2cc2 --- /dev/null +++ b/data/questions/cd/f1/e9f8df9e6a54.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=2|x+3|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-3,2],[-2,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cd/fd/d4019734fa71.json b/data/questions/cd/fd/d4019734fa71.json new file mode 100644 index 0000000000..08349f606b --- /dev/null +++ b/data/questions/cd/fd/d4019734fa71.json @@ -0,0 +1 @@ +{"content":"Last year, Denise harvested $3000$ metric tons of crops on her farm. This year, she wants to exceed last year's count by at least $2000$ metric tons. Each field of corn she harvests will yield $200$ metric tons, and each field of soybeans will yield $200$ metric tons.\n\n\n**Write an *inequality* that represents the number of fields of corn $(C)$ and fields of soybeans $(S)$ Denise will need to plow to achieve her harvest goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $S$ on the horizontal axis and $C$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Denise plows $10$ fields of corn $(C)$, which of the following numbers of fields of soybeans $(S)$ can she plow to meet or exceed the harvest goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"200C+200S>=5000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,25],[25,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["S","C"],"markings":"graph","range":[[-5,40],[-5,40]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$14$","correct":false},{"content":"$17$","correct":true},{"content":"$19$","correct":true},{"content":"$20$","correct":true},{"content":"$23$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/0a/1ced032e5f6e.json b/data/questions/ce/0a/1ced032e5f6e.json new file mode 100644 index 0000000000..bdf8a159d5 --- /dev/null +++ b/data/questions/ce/0a/1ced032e5f6e.json @@ -0,0 +1 @@ +{"content":"Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.\n\n ||||\n-:|-:|-:|-:\n|**Batch $1$**|**Batch $2$**|**Batch $3$**\nCups of sugar|$2$|$3$|$4$\nCups of flour|$4\\dfrac{1}{2}$|$6\\dfrac{3}{4}$|$9$\n\n**What is the unit rate of change of flour $(y)$ with respect to sugar $(x)$?** That is, how much flour corresponds to *one* cup of sugar?\n\nThe unit rate of change is [[☃ input-number 1]] .\n\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing cups of sugar, and the $y$-coordinate representing cups of flour.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.25},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[4,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/1a/145530b81de4.json b/data/questions/ce/1a/145530b81de4.json new file mode 100644 index 0000000000..ac2efd9da6 --- /dev/null +++ b/data/questions/ce/1a/145530b81de4.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $3$ apples cost $\\$5$. You can buy $6$ apples for $\\$9$.\n\n\n**Graph the points described by the given information.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/d436496c2ce92f8009b80ea37eee4e52921063e8.png":{"height":432,"width":443}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[30,50]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["x","y"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/1f/bd37d53641d5.json b/data/questions/ce/1f/bd37d53641d5.json new file mode 100644 index 0000000000..28c5820721 --- /dev/null +++ b/data/questions/ce/1f/bd37d53641d5.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0b851cdf5d2c7e79e0b30ae9fc4c573ca488502a","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[3,6],[3,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/30/855e62b27dcc.json b/data/questions/ce/30/855e62b27dcc.json new file mode 100644 index 0000000000..fc67b10dcc --- /dev/null +++ b/data/questions/ce/30/855e62b27dcc.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"width":325,"height":325}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f990914d45176dfe9659478f8fd4c0c87ae856ed","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[2,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/3a/887be1424cb0.json b/data/questions/ce/3a/887be1424cb0.json new file mode 100644 index 0000000000..415cbcc7a1 --- /dev/null +++ b/data/questions/ce/3a/887be1424cb0.json @@ -0,0 +1 @@ +{"content":"crwdns3295088:0$4$crwdnd3295088:0$8$crwdnd3295088:0$10$crwdnd3295088:0$4$crwdnd3295088:0$18$crwdnd3295088:0$4$crwdnd3295088:0$4.5$crwdnd3295088:0$9.5$crwdnd3295088:0$8.5$crwdnd3295088:0$6$crwdnd3295088:0$10$crwdnd3295088:0$7$crwdne3295088:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,4.5],[8,9.5],[10,8.5],[4,6],[4,7],[18,10]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,1],"labels":["crwdns3295059:0{Meditation}crwdne3295059:0","crwdns3295058:0{Sleep}crwdne3295058:0"],"markings":"graph","range":[[-2,25],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/43/27b20207b026.json b/data/questions/ce/43/27b20207b026.json new file mode 100644 index 0000000000..9ff48c64ec --- /dev/null +++ b/data/questions/ce/43/27b20207b026.json @@ -0,0 +1 @@ +{"content":"$\\triangle{TRY}$ is reflected over the line $y=\\dfrac{1}{3}x-2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/216537b0280134b2effc8974548d7217a6742850","width":425},"correct":{"coords":[[1,1],[1,4],[-4,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad75d041b76209ed3528c53beedbb12b7ab94c86","width":425},"correct":{"coords":[[-1,8],[4,3],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2f4342502840839769a07b4a35a13833e4e3cc2f","width":425},"correct":{"coords":[[-7,-1],[5,3],[1,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/4d/ac979aa9735c.json b/data/questions/ce/4d/ac979aa9735c.json new file mode 100644 index 0000000000..69335c4401 --- /dev/null +++ b/data/questions/ce/4d/ac979aa9735c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+10x+6y+18=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-5,-3],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/58/71eeee3a2834.json b/data/questions/ce/58/71eeee3a2834.json new file mode 100644 index 0000000000..64bba480ab --- /dev/null +++ b/data/questions/ce/58/71eeee3a2834.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,5)$, and which has the point $(-3,5)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/5c/6f2c3df147ba.json b/data/questions/ce/5c/6f2c3df147ba.json new file mode 100644 index 0000000000..08fa4fa8ef --- /dev/null +++ b/data/questions/ce/5c/6f2c3df147ba.json @@ -0,0 +1 @@ +{"content":"crwdns4242795:0$8$crwdne4242795:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[4,3],[4,4],[-4,4],[-4,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/6d/6eb22c215894.json b/data/questions/ce/6d/6eb22c215894.json new file mode 100644 index 0000000000..215ff0f9ce --- /dev/null +++ b/data/questions/ce/6d/6eb22c215894.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/907d5c369085716adb7069534d84c22f2159c974","width":425},"correct":{"coords":[[-1,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/73/b4149be11b54.json b/data/questions/ce/73/b4149be11b54.json new file mode 100644 index 0000000000..88c71843af --- /dev/null +++ b/data/questions/ce/73/b4149be11b54.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $1$ unit right and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ed21b54e450b1d3537ec7381441a69bc7ccb152","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[2,2],[6,6],[-3,1]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/74/089ca4834011.json b/data/questions/ce/74/089ca4834011.json new file mode 100644 index 0000000000..12062ac839 --- /dev/null +++ b/data/questions/ce/74/089ca4834011.json @@ -0,0 +1 @@ +{"content":"Tygo loves to eat popsicles in the summer. His mom buys popsicles in boxes that have $6$ popsicles per box, and let's Tygo eat them all! In the graph below, $b$ is the number of boxes of popsicles Tygo's mom buys, and $p$ is the number of popsicles Tygo gets to eat.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$p=6b$\n\n**Plot points on the graph that show the number of popsicles Tygo gets to eat if his mom buys $2$ or $5$ boxes.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["\\text{Boxes}","\\text{Popsicles}"],"markings":"graph","range":[[-1,10],[-5,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/74/4f57b7dcb883.json b/data/questions/ce/74/4f57b7dcb883.json new file mode 100644 index 0000000000..ddca2d4316 --- /dev/null +++ b/data/questions/ce/74/4f57b7dcb883.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac12\\cdot2^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,0.5],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/78/c5ef3aa4066e.json b/data/questions/ce/78/c5ef3aa4066e.json new file mode 100644 index 0000000000..dbb8f8f0ae --- /dev/null +++ b/data/questions/ce/78/c5ef3aa4066e.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-7\\sin\\left(\\dfrac{1}{4}x\\right)+1$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,1],[4,-6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/90/8caf4019b446.json b/data/questions/ce/90/8caf4019b446.json new file mode 100644 index 0000000000..1442cb27b1 --- /dev/null +++ b/data/questions/ce/90/8caf4019b446.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=g(x)$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f7eacecb7905e5db272bd3f2b92bc417e43b42ca","width":400},"correct":{"coords":[[1,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/97/c58cb70b60b7.json b/data/questions/ce/97/c58cb70b60b7.json new file mode 100644 index 0000000000..7461db8a9e --- /dev/null +++ b/data/questions/ce/97/c58cb70b60b7.json @@ -0,0 +1 @@ +{"content":"crwdns2964246:0$12$crwdnd2964246:0$x$crwdne2964246:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-4],[0,4],[6,-4]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/af/f926c77de28d.json b/data/questions/ce/af/f926c77de28d.json new file mode 100644 index 0000000000..da7f52a228 --- /dev/null +++ b/data/questions/ce/af/f926c77de28d.json @@ -0,0 +1 @@ +{"content":"An engineer studying fuel usage collected data on the speed a car traveled (in kilometers per hour) and how much fuel it used (in liters per $100$ kilometers). \n \n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Speed (km/h)** | $10$ | $30$ | $50$ | $70$ | $90$ | $110$\n**Fuel used $($liters per $100\\,\\text{km})$** | $21$ | $10$ | $7$ | $6$ | $8$ |$9$\n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[10,21],[30,10],[50,7],[70,6],[90,8],[110,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,1],"labels":["$\\text{Speed}$","$\\text{Fuel used}$"],"markings":"graph","range":[[-10,120],[-2,22]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,1],"step":[10,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/b6/20f30d906783.json b/data/questions/ce/b6/20f30d906783.json new file mode 100644 index 0000000000..95604ca4d8 --- /dev/null +++ b/data/questions/ce/b6/20f30d906783.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=4x^2+12x+4$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-1.5,-5],[0,4]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/bb/69bca4052172.json b/data/questions/ce/bb/69bca4052172.json new file mode 100644 index 0000000000..2e7040f9c2 --- /dev/null +++ b/data/questions/ce/bb/69bca4052172.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{4}(x -2)(x +6)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,4],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/c8/53d7eac5b6a4.json b/data/questions/ce/c8/53d7eac5b6a4.json new file mode 100644 index 0000000000..ec063b4905 --- /dev/null +++ b/data/questions/ce/c8/53d7eac5b6a4.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6b97185321bfa4ec25d89ab2c4cef4d275e3a08c","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[6,-4],[3,-2],[2,1],[-2,-3]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/c9/fe0912bc5803.json b/data/questions/ce/c9/fe0912bc5803.json new file mode 100644 index 0000000000..4bdfc4061c --- /dev/null +++ b/data/questions/ce/c9/fe0912bc5803.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+y^2=81$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,0],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/cd/676114cab04a.json b/data/questions/ce/cd/676114cab04a.json new file mode 100644 index 0000000000..4a4764aef7 --- /dev/null +++ b/data/questions/ce/cd/676114cab04a.json @@ -0,0 +1 @@ +{"content":"Biologists discovered an invasive bird species on an island. The function $f$ models the population size (in hundreds of birds) for this species as a function of time (in months) after being discovered.\n\n**Plot the point on the graph of $f$ that corresponds to the number of birds in the population when the biologists discovered it.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/144252ee6f637db17494b7fb8f47cfe495a2f1d1","width":400},"correct":{"coords":[[0,16]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,5],"labels":["□","□"],"markings":"none","range":[[-3,10],[-2,28]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/ce/b06fff82221a.json b/data/questions/ce/ce/b06fff82221a.json new file mode 100644 index 0000000000..4d2db8c2de --- /dev/null +++ b/data/questions/ce/ce/b06fff82221a.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$2$|$4$|$6$|$8$\n$y$|$0$|$1.2$|$2.4$|$3.6$|$4.8$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/cf/89ebcdd86e74.json b/data/questions/ce/cf/89ebcdd86e74.json new file mode 100644 index 0000000000..c49a8515e7 --- /dev/null +++ b/data/questions/ce/cf/89ebcdd86e74.json @@ -0,0 +1 @@ +{"content":"**Graph $y=2\\sin\\left(\\dfrac{\\pi}{10}x\\right)-7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-7],[5,-5]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/d9/79c19f471242.json b/data/questions/ce/d9/79c19f471242.json new file mode 100644 index 0000000000..585db9639f --- /dev/null +++ b/data/questions/ce/d9/79c19f471242.json @@ -0,0 +1 @@ +{"content":"Line segments $\\overline{QR}$ and $\\overline{ST}$ are reflected over the line $y=-2x-3$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec9db377c855be17a2841116d069c94ee6277951","width":425},"correct":{"coords":[[[-8,5],[8,-2]],[[-7,-1],[-3,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91b9cdea9392fcb822d0365456409475e579472a","width":425},"correct":{"coords":[[[-9,0],[5,5]],[[-7,-1],[-7,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dbac9c0d80eb620ac380f038eed02de1b3295976","width":425},"correct":{"coords":[[[-4,-7],[-4,-9]],[[-6,-4],[3,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ff32e4b8055948ab048578d8b2ffc66e6054acb6","width":425},"correct":{"coords":[[[-3,8],[-9,-5]],[[-4,0],[-3,-7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/ef/b46ad3af0077.json b/data/questions/ce/ef/b46ad3af0077.json new file mode 100644 index 0000000000..32acfe7683 --- /dev/null +++ b/data/questions/ce/ef/b46ad3af0077.json @@ -0,0 +1 @@ +{"content":"crwdns3209050:0$ABCDE$crwdne3209050:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/335a1f9fe80630c1347bc2448f52ca35d6ccd281.png","width":425},"correct":{"coords":[[-2,-2],[1,6],[-6,8],[-8,5],[-5,0]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/ce/f8/5215e4aa46c2.json b/data/questions/ce/f8/5215e4aa46c2.json new file mode 100644 index 0000000000..053d0ca272 --- /dev/null +++ b/data/questions/ce/f8/5215e4aa46c2.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $4$ that contains the point $(3,0)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[3,0],[4,4]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/f9/e8a75e07b77c.json b/data/questions/ce/f9/e8a75e07b77c.json new file mode 100644 index 0000000000..42fe147b55 --- /dev/null +++ b/data/questions/ce/f9/e8a75e07b77c.json @@ -0,0 +1 @@ +{"content":"Jennifer drives at a constant speed of $3$ miles per $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents distance (in miles). \n\n**Plot points to show how far Jennifer has driven after $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,4.5],[4,3],[2,1.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ce/fa/9b3e5b6b3d7d.json b/data/questions/ce/fa/9b3e5b6b3d7d.json new file mode 100644 index 0000000000..4dfdee9968 --- /dev/null +++ b/data/questions/ce/fa/9b3e5b6b3d7d.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=5(x-1)^2-5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[1,-5],[0,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/01/2376a5d12501.json b/data/questions/cf/01/2376a5d12501.json new file mode 100644 index 0000000000..06797f6908 --- /dev/null +++ b/data/questions/cf/01/2376a5d12501.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(-1,5)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(-1,5)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-1,5]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"First quadrant ","correct":false},{"content":"Second quadrant ","correct":true},{"content":"Third quadrant","correct":false},{"content":"Fourth quadrant","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/cf/08/0f84f7e3d5e2.json b/data/questions/cf/08/0f84f7e3d5e2.json new file mode 100644 index 0000000000..cc6e79ae0b --- /dev/null +++ b/data/questions/cf/08/0f84f7e3d5e2.json @@ -0,0 +1 @@ +{"content":"**This graph's answer type is \"none\" so it should not affect grading.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"line","kind":"line","points":[{"type":"point","coord":[0,0],"color":"purple","filled":true,"labels":[]},{"type":"point","coord":[2,2],"color":"purple","filled":true,"labels":[]}],"color":"purple","lineStyle":"dashed","showPoint1":false,"showPoint2":false}],"graph":{"type":"none"},"correct":{"type":"none","hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/11/1dd5e1421aeb.json b/data/questions/cf/11/1dd5e1421aeb.json new file mode 100644 index 0000000000..6ae453d1e4 --- /dev/null +++ b/data/questions/cf/11/1dd5e1421aeb.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-5,1)$ and has a radius of $4$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-5,1],"radius":4,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/12/92d471de986d.json b/data/questions/cf/12/92d471de986d.json new file mode 100644 index 0000000000..e88ea2692d --- /dev/null +++ b/data/questions/cf/12/92d471de986d.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2\\cdot \\left(\\dfrac13\\right)^{x+2}-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"exponential","asymptote":[[-10,-1],[10,-1]],"coords":[[-3,5],[-2,1]]},"availableTypes":["exponential"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/21/301665a9bb74.json b/data/questions/cf/21/301665a9bb74.json new file mode 100644 index 0000000000..bb7fbcb6d2 --- /dev/null +++ b/data/questions/cf/21/301665a9bb74.json @@ -0,0 +1 @@ +{"content":"The graph below contains triangle $\\triangle COD$ and the point $P(0,-4)$. \n \n**Draw the image of $\\triangle COD$ under a dilation whose center is $P$ and scale factor is $\\dfrac{7}{2}$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d0fb6ccfc1f3be4782a3a83cb4345e64c9e01","width":425},"correct":{"coords":[[-14,-4],[0,-11],[14,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["□","□"],"markings":"none","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/31/c3120e2127dc.json b/data/questions/cf/31/c3120e2127dc.json new file mode 100644 index 0000000000..10badc2cdb --- /dev/null +++ b/data/questions/cf/31/c3120e2127dc.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=8\\cdot\\left(\\dfrac{3}{4}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,8],[1,6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/42/4e8bbc0f39f9.json b/data/questions/cf/42/4e8bbc0f39f9.json new file mode 100644 index 0000000000..ed5faad80b --- /dev/null +++ b/data/questions/cf/42/4e8bbc0f39f9.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=5 \\left( \\cos(307\\degree) + i\\sin(307\\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[3,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/48/ef57b95dd7fd.json b/data/questions/cf/48/ef57b95dd7fd.json new file mode 100644 index 0000000000..f4ef20ec99 --- /dev/null +++ b/data/questions/cf/48/ef57b95dd7fd.json @@ -0,0 +1 @@ +{"content":"Consider this number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d7f753af808719e2cd876bb3a71775c740799da2)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]] \n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/21a5dbf0b76e53f1b4099881764584b79fc72af6.png":{"height":239,"width":131},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d7f753af808719e2cd876bb3a71775c740799da2":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 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diff --git a/data/questions/cf/61/6de06f958458.json b/data/questions/cf/61/6de06f958458.json new file mode 100644 index 0000000000..430c6fb836 --- /dev/null +++ b/data/questions/cf/61/6de06f958458.json @@ -0,0 +1 @@ +{"content":"crwdns6509157:0crwdne6509157:0","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/69/afe715819bf0.json b/data/questions/cf/69/afe715819bf0.json new file mode 100644 index 0000000000..b744ad08ea --- /dev/null +++ b/data/questions/cf/69/afe715819bf0.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24d3859d6af72989cd8a5e1e562edff98b4ed146","width":430},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/7a/de41b24ad146.json b/data/questions/cf/7a/de41b24ad146.json new file mode 100644 index 0000000000..26dfd3a2a6 --- /dev/null +++ b/data/questions/cf/7a/de41b24ad146.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=3\\sin\\left(\\dfrac{\\pi}{5} x+\\dfrac{2\\pi}{5}\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[-2,-3],[0.5,0]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/8f/0a37f1a78184.json b/data/questions/cf/8f/0a37f1a78184.json new file mode 100644 index 0000000000..f4d3c7d9cb --- /dev/null +++ b/data/questions/cf/8f/0a37f1a78184.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -3i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/90/cc6059218166.json b/data/questions/cf/90/cc6059218166.json new file mode 100644 index 0000000000..cc37b4ab38 --- /dev/null +++ b/data/questions/cf/90/cc6059218166.json @@ -0,0 +1 @@ +{"content":"Scientists are sending a rover to Mars. Their plan is to study a rectangular area of Mars represented by the grid below. On the grid, $1$ unit represents $1$ kilometer $(\\text{km})$.\n\nThe rover will land at $(2.5,2)$, explore up to $(2.5,4.5)$, and then over to $(4,4.5)$. \n\n**Plot these points on the map.**\n\n**What are the coordinates of the fourth vertex of the rectangle that the scientists plan to explore?** \n$($[[☃ input-number 1]], [[☃ input-number 2]]$)$\n\n**What is the horizontal length of the rectangle?** \n[[☃ input-number 3]]\n\n**What is the vertical length of the rectangle?** \n[[☃ input-number 4]]\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 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0000000000..1cf9e76e80 --- /dev/null +++ b/data/questions/cf/9f/4abdd69de760.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $FORT$ is reflected over the line $y=\\dfrac{1}{2}x+2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 8]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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8":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91bff50cb2ef573e2196866cf2ddc9c5675e4a0f","width":425},"correct":{"coords":[[-1,4],[4,9],[-5,7],[-8,3]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/b5/46fb272fc11b.json b/data/questions/cf/b5/46fb272fc11b.json new file mode 100644 index 0000000000..4ab5a97394 --- /dev/null +++ b/data/questions/cf/b5/46fb272fc11b.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3+3x^2-18x-27$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-1.5,0],[3,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/c0/18df6f204477.json b/data/questions/cf/c0/18df6f204477.json new file mode 100644 index 0000000000..920c2d4af7 --- /dev/null +++ b/data/questions/cf/c0/18df6f204477.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -3i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/f4/5e6ff2821871.json b/data/questions/cf/f4/5e6ff2821871.json new file mode 100644 index 0000000000..249609b267 --- /dev/null +++ b/data/questions/cf/f4/5e6ff2821871.json @@ -0,0 +1 @@ +{"content":"Manuel just quit his job so he could start his own business mowing yards and plowing driveways. He earned $\\$10{,}000$ per year in his old job. Manuel wants to exceed the earnings from his old job by at least $\\$5000$ per year. He will earn $\\$25$ per hour spent mowing and $\\$50$ per hour spent plowing.\n\n**Write an *inequality* that represents the number of hours Manuel must spend mowing $(M)$ and plowing $(P)$ to achieve his yearly earnings goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $M$ on the horizontal axis and $P$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Manuel spends $100$ hours mowing $(M)$, which of the following numbers of hours spent plowing $(P)$ will meet or exceed his earnings goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"25M+50P>=15000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"25m+50p\\ge15000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[100,50],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["M","P"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-75,700],[-20,350]],"gridStep":[50,50],"snapStep":[25,25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,300],[600,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$100$","correct":false},{"content":"$150$","correct":false},{"content":"$175$","correct":false},{"content":"$225$","correct":false},{"content":"$250$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/cf/ff/114c8b88223e.json b/data/questions/cf/ff/114c8b88223e.json new file mode 100644 index 0000000000..dd8f8e57ae --- /dev/null +++ b/data/questions/cf/ff/114c8b88223e.json @@ -0,0 +1 @@ +{"content":"Kayli's tablet has a cracked screen. On a coordinate map of the screen, the crack starts at the point $(1,3)$ and ends at the point $(10,3)$. The crack connects the two points in a straight line.\n\n**Plot the points where the crack starts and ends on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How long is the crack?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[10,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/07/e6910b2821ec.json b/data/questions/d0/07/e6910b2821ec.json new file mode 100644 index 0000000000..4e1e1d244a --- /dev/null +++ b/data/questions/d0/07/e6910b2821ec.json @@ -0,0 +1 @@ +{"content":"**Graph $x=-1$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-1,3],[-1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/0d/8fa8fba050f9.json b/data/questions/d0/0d/8fa8fba050f9.json new file mode 100644 index 0000000000..06495cdb45 --- /dev/null +++ b/data/questions/d0/0d/8fa8fba050f9.json @@ -0,0 +1 @@ +{"content":"For every $15$ campers at a summer camp there is $1$ counselor.\n\n**Complete the table for the given ratio.** \n \nCampers, $x$ | Counselors, $y$ \n:-: | :-: \n$15$ | $1$\n$30$| [[☃ numeric-input 3]]\n$45$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[15,1],[30,2],[45,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,50],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,0.25],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/2a/3b26b1bb2de9.json b/data/questions/d0/2a/3b26b1bb2de9.json new file mode 100644 index 0000000000..fe78785da3 --- /dev/null +++ b/data/questions/d0/2a/3b26b1bb2de9.json @@ -0,0 +1 @@ +{"content":"$y=(x-2)(x-6)$\n\n**1) What is the vertex of the parabola?**\n\n$($ [[☃ numeric-input 1]] $,$ [[☃ numeric-input 2]] $)$\n\n**2) Graph the function.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-4],[6,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"x-coordinate","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"y-coordinate","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/2b/562a36613aed.json b/data/questions/d0/2b/562a36613aed.json new file mode 100644 index 0000000000..c898b96355 --- /dev/null +++ b/data/questions/d0/2b/562a36613aed.json @@ -0,0 +1 @@ +{"content":"The graph of the equation $y=\\dfrac{2}{3}x+2$ is shown on the coordinate grid below.\n\n$y=\\dfrac{2}{3}x+2$ is part of a system of two linear equations. The second equation's graph has a slope of $\\dfrac{5}{3}$ and a $y$-intercept of $8$.\n\n**Graph the second equation on the same grid.**\n\n**What is the solution to the system of equations?** \n$($[[☃ input-number 1]], [[☃ input-number 2]]$)$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-6},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-2},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/1cfda8b99d781125b2be81d146d3aff687fb46ba.png","width":425},"correct":{"coords":[[-3,3],[0,8]],"type":"linear"},"graph":{"type":"linear"},"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/2b/59be2281103d.json b/data/questions/d0/2b/59be2281103d.json new file mode 100644 index 0000000000..d74a72f75f --- /dev/null +++ b/data/questions/d0/2b/59be2281103d.json @@ -0,0 +1 @@ +{"content":"The $5$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n ** Based only on these $5$ points, plot the $5$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/257f61e32ebfa49d1f28a9843bac61b3d35e87d3.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,17],[-4,17]],"gridStep":[1,2],"snapStep":[0.5,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,1],[1,2],[2,4],[3,8],[4,16]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/30/42843716c375.json b/data/questions/d0/30/42843716c375.json new file mode 100644 index 0000000000..8a827e4ba6 --- /dev/null +++ b/data/questions/d0/30/42843716c375.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 4|x-1|-3, ~~\\text{Domain}~~[-2,3]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-3"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-2,9],[1,-3]],[[1,-3],[3,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d0/3c/dcae9614c426.json b/data/questions/d0/3c/dcae9614c426.json new file mode 100644 index 0000000000..50fb88ddcc --- /dev/null +++ b/data/questions/d0/3c/dcae9614c426.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$5$|$4$|$3$|$2$|$1$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd5727c0aa8f813e1fcbdb2cd2a25e224cccde6","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-4]],[[-5,0],[5,-1]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d0/42/0ed061f8dc2a.json b/data/questions/d0/42/0ed061f8dc2a.json new file mode 100644 index 0000000000..069bb5ba1d --- /dev/null +++ b/data/questions/d0/42/0ed061f8dc2a.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=3\\cos(\\pi x+4\\pi)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[-3.5,2],[-4,5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/42/31ecce88331f.json b/data/questions/d0/42/31ecce88331f.json new file mode 100644 index 0000000000..274bb5411f --- /dev/null +++ b/data/questions/d0/42/31ecce88331f.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$61$|$-31$|$71$|$101$|$-11$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bc3d431242174bec47c29a8a864032066e6d5770","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,-1]],[[-5,3],[5,5]],[[-5,0],[5,-4]],[[-5,-3],[5,-7]],[[-5,-6],[5,2]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":true,"content":"$f$ is invertible"},{"correct":false,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/d0/4c/509a31cf5d2c.json b/data/questions/d0/4c/509a31cf5d2c.json new file mode 100644 index 0000000000..97eb01063a --- /dev/null +++ b/data/questions/d0/4c/509a31cf5d2c.json @@ -0,0 +1 @@ +{"content":"**Graph the best function in the world.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","sinusoid","exponential","quadratic","absolute_value","tangent","logarithm"],"correct":{"asymptote":null,"coords":[[-1.5,5],[3.5,2]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/52/18e6981d65ae.json b/data/questions/d0/52/18e6981d65ae.json new file mode 100644 index 0000000000..b2631a8ef1 --- /dev/null +++ b/data/questions/d0/52/18e6981d65ae.json @@ -0,0 +1 @@ +{"content":"crwdns3389880:0$R$crwdnd3389880:0$Rcrwdnd3389880:0{array}crwdnd3389880:0{ccc}crwdnd3389880:0{array}crwdne3389880:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8db7b435093a7fc27e399254da983947fa2cf84f","width":425},"correct":{"coords":[[7,0],[0,7],[-7,-7]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/54/ba889664cc97.json b/data/questions/d0/54/ba889664cc97.json new file mode 100644 index 0000000000..e795420654 --- /dev/null +++ b/data/questions/d0/54/ba889664cc97.json @@ -0,0 +1 @@ +{"content":"Desmond fabricates a tiny microchip. It is square in shape, measuring $7.5$ millimeters on each side.\n\n**Draw Desmond's chip to scale on the grid below.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/6b26442bc495ccd3ba886f4e22d96c2d645a6c79.png","width":400},"correct":{"coords":[[8,-8],[8,7],[-7,7],[-7,-8]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/60/a577fa65c600.json b/data/questions/d0/60/a577fa65c600.json new file mode 100644 index 0000000000..4b5b17d36c --- /dev/null +++ b/data/questions/d0/60/a577fa65c600.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$0.3$|$0.6$|$0.9$|$1.2$\n$y$|$0$|$1$|$2$|$3$|$4$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3.3333333333333335},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[3,10]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/66/e619de445725.json b/data/questions/d0/66/e619de445725.json new file mode 100644 index 0000000000..76a377129a --- /dev/null +++ b/data/questions/d0/66/e619de445725.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=x(2x+3)(x-1)(x+2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0,0],[-1.5,0],[1,0],[-2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/83/6a88b07e79ed.json b/data/questions/d0/83/6a88b07e79ed.json new file mode 100644 index 0000000000..27c4b18f35 --- /dev/null +++ b/data/questions/d0/83/6a88b07e79ed.json @@ -0,0 +1 @@ +{"content":"crwdns2975600:0crwdne2975600:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,0],[-5,9],[0,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/97/e556a77312c9.json b/data/questions/d0/97/e556a77312c9.json new file mode 100644 index 0000000000..3c76ad0391 --- /dev/null +++ b/data/questions/d0/97/e556a77312c9.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -4|x+2|+8, ~~\\text{Domain}~~[-6,1]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-2"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-2,8],[1,-4]],[[-6,-8],[-2,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d0/9b/0ead3b1e52fe.json b/data/questions/d0/9b/0ead3b1e52fe.json new file mode 100644 index 0000000000..f48f7f656e --- /dev/null +++ b/data/questions/d0/9b/0ead3b1e52fe.json @@ -0,0 +1 @@ +{"content":"$f$ is a continuous piecewise linear function defined as follows:\n\n$\\qquad f(x) = \\begin{cases}\n-0.125x+4.75 & , & -10\\leq x<-2 \\\\\\\\\nx+7 & , & -2\\leq x<-1\\\\\\\\\n-{\\dfrac{12}{11}}x+{\\dfrac{54}{11}} & , & -1\\leq x\\leq 10\\end{cases}$\n\n**Drag the ends of the segments below to graph $f$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[[-10,6],[-2,5]],[[-2,5],[-1,6]],[[-1,6],[10,-6]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-11,11],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/ab/4781efe9e81d.json b/data/questions/d0/ab/4781efe9e81d.json new file mode 100644 index 0000000000..c75fb8a93f --- /dev/null +++ b/data/questions/d0/ab/4781efe9e81d.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2710954c464a5def3d89bb41e3d802cbaa06b71f","width":425},"correct":{"coords":[[1,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/ae/b24630e16ebb.json b/data/questions/d0/ae/b24630e16ebb.json new file mode 100644 index 0000000000..cd0eeae40b --- /dev/null +++ b/data/questions/d0/ae/b24630e16ebb.json @@ -0,0 +1 @@ +{"content":"crwdns6902080:0$ycrwdnd6902080:0{1}crwdnd6902080:0{2}crwdne6902080:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,8],[2,9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/ca/c74ee6308360.json b/data/questions/d0/ca/c74ee6308360.json new file mode 100644 index 0000000000..0ade464d42 --- /dev/null +++ b/data/questions/d0/ca/c74ee6308360.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=6(x-1.5)^2-7$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[1.5,-7],[0,6.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/d2/98d404bdcc75.json b/data/questions/d0/d2/98d404bdcc75.json new file mode 100644 index 0000000000..3d06ef414a --- /dev/null +++ b/data/questions/d0/d2/98d404bdcc75.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y=\\dfrac{x}{3}+\\dfrac{25}{6}}$\n\n$\\qquad\\pink{2y+2x=23}$\n\n**Create a new equation by substituting $y$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"x=5.5"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d8289803e9a43b4b3bd7ec56f32dcb3621bb43d5.png","width":425},"correct":{"coords":[[5.5,8.5],[5.5,-5.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/d9/470be153fad2.json b/data/questions/d0/d9/470be153fad2.json new file mode 100644 index 0000000000..dd8692fc55 --- /dev/null +++ b/data/questions/d0/d9/470be153fad2.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57fada679b2228b82c107e21fd5a255619c46950","width":430},"correct":{"coords":[[8,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/de/93f186b88a3d.json b/data/questions/d0/de/93f186b88a3d.json new file mode 100644 index 0000000000..2b75586eb7 --- /dev/null +++ b/data/questions/d0/de/93f186b88a3d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(4,4)$ and has a radius of $3$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[4,4],"radius":3,"type":"circle"},"graph":{"type":"circle"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d0/ed/f458428c3c5b.json b/data/questions/d0/ed/f458428c3c5b.json new file mode 100644 index 0000000000..5ced72980e --- /dev/null +++ b/data/questions/d0/ed/f458428c3c5b.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=0.25(x+1)^2-9$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-1,-9],[5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-9},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-7}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/22/2e68f0c7d065.json b/data/questions/d1/22/2e68f0c7d065.json new file mode 100644 index 0000000000..2444c81955 --- /dev/null +++ b/data/questions/d1/22/2e68f0c7d065.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-4,-4],[4,-4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/22/ea889fdf286a.json b/data/questions/d1/22/ea889fdf286a.json new file mode 100644 index 0000000000..3d6740489b --- /dev/null +++ b/data/questions/d1/22/ea889fdf286a.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-6$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-4,-6],[4,-6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/23/3e18bc585207.json b/data/questions/d1/23/3e18bc585207.json new file mode 100644 index 0000000000..6631450578 --- /dev/null +++ b/data/questions/d1/23/3e18bc585207.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x)-5$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":true,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-4,-4],"color":"grayH","filled":true},{"type":"point","coord":[4,4],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":false,"showPoint2":false},{"type":"point","coord":[4,4],"color":"grayH","filled":true},{"type":"point","coord":[-4,-4],"color":"grayH","filled":true}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-4,-9],[4,-1]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/28/c232e6666610.json b/data/questions/d1/28/c232e6666610.json new file mode 100644 index 0000000000..0e9b0f8859 --- /dev/null +++ b/data/questions/d1/28/c232e6666610.json @@ -0,0 +1 @@ +{"content":"The graph below contains pentagon $ABCDE$ and the point $P$. \n \n**Draw the image of $ABCDE$ under a dilation whose center is $P$ and scale factor is $2$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the side $\\overline{AB}$ and its image?** \n\n$\\overline{AB}$ is [[☃ input-number 1]] units long, and its image is [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/936ec1e97fee16a6c20128b2b40176ebd76dcd78.png","width":425},"correct":{"coords":[[7,-7],[7,1],[1,9],[-5,1],[-5,-7]],"numSides":5,"showAngles":false,"type":"polygon"},"graph":{"numSides":5,"showAngles":false,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/2a/345a5f64fb06.json b/data/questions/d1/2a/345a5f64fb06.json new file mode 100644 index 0000000000..5ff7fccbcc --- /dev/null +++ b/data/questions/d1/2a/345a5f64fb06.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations.**\n\n$\\begin{cases}\n& y=-x+6\n\\\\\\\\\n& 5x+5y=15\n\\end{cases}$\n\n[[☃ interactive-graph 2]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 3]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,2]],[[0,6],[1,5]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 3":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":false},{"content":"No solutions","correct":true},{"content":"Infinitely many solutions","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d1/2d/44a0fc04e583.json b/data/questions/d1/2d/44a0fc04e583.json new file mode 100644 index 0000000000..72f05da9e7 --- /dev/null +++ b/data/questions/d1/2d/44a0fc04e583.json @@ -0,0 +1 @@ +{"content":"Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had $60$ megabytes on it before the transfer, and an additional $4$ megabytes were transferred onto it each second.\n\n**Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,60],[10,100]],"asymptote":null},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,100],[-40,400]],"labels":["Time (seconds)","Files (megabytes)"],"step":[10,40],"gridStep":[5,20],"snapStep":[5,20],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/536b8327e2ebd8568acde6ac745d94478b7453b1","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/2e/eca57e8fc4e0.json b/data/questions/d1/2e/eca57e8fc4e0.json new file mode 100644 index 0000000000..a6a59ed50f --- /dev/null +++ b/data/questions/d1/2e/eca57e8fc4e0.json @@ -0,0 +1 @@ +{"content":"crwdns3027430:0crwdne3027430:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,2],[6,10],[6,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/2f/bcde4d2a9ee9.json b/data/questions/d1/2f/bcde4d2a9ee9.json new file mode 100644 index 0000000000..25134348f7 --- /dev/null +++ b/data/questions/d1/2f/bcde4d2a9ee9.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $3$ units in $t$ corresponds to an increase of $8$ units in $d$. \n\n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate of change is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.6666666666666665},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/31/281f261f8a92.json b/data/questions/d1/31/281f261f8a92.json new file mode 100644 index 0000000000..e15ce5b9df --- /dev/null +++ b/data/questions/d1/31/281f261f8a92.json @@ -0,0 +1 @@ +{"content":"**$\\triangle ABC$ को $\\triangle A'B'C'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/35af55fd8ca1fd970e15b47edce06cad89333c3f","width":425},"correct":{"coords":[[1,1],[1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/36/feb10f0235e2.json b/data/questions/d1/36/feb10f0235e2.json new file mode 100644 index 0000000000..324f6febab --- /dev/null +++ b/data/questions/d1/36/feb10f0235e2.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle OWL$ after reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8b20174b7ea1f5d2e498d591a218f3a85600b1fb.png","width":425},"correct":{"coords":[[2,1],[-7,5],[-7,-5]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d1/4c/0150b8741b2c.json b/data/questions/d1/4c/0150b8741b2c.json new file mode 100644 index 0000000000..00b25c8c5c --- /dev/null +++ b/data/questions/d1/4c/0150b8741b2c.json @@ -0,0 +1 @@ +{"content":"Biologists discovered an invasive species of fish in a lake. The function $f$ models the population size (in thousands of fish) for this species as a function of time (in months) after being discovered.\n\n**Plot the point on the graph of $f$ that corresponds to the time when the population reached its maximum size.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/815df6e51faf06f89373ac586b5309742a82497a","width":400},"correct":{"coords":[[4,9]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-4,14],[-2,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/4c/c6bb5a358d03.json b/data/questions/d1/4c/c6bb5a358d03.json new file mode 100644 index 0000000000..93efbe2ced --- /dev/null +++ b/data/questions/d1/4c/c6bb5a358d03.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f529d3caae42deda657946bd296e5d1328006e56","width":400},"correct":{"coords":[[-5.5,8.5],[3.5,5.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/5b/caa6b757aed3.json b/data/questions/d1/5b/caa6b757aed3.json new file mode 100644 index 0000000000..28ec074d7b --- /dev/null +++ b/data/questions/d1/5b/caa6b757aed3.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2683edd01039f0f67af98115da7d56da87bef1cd","width":425},"correct":{"coords":[[-2,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/6e/c05df2d668a6.json b/data/questions/d1/6e/c05df2d668a6.json new file mode 100644 index 0000000000..fc9651c5f1 --- /dev/null +++ b/data/questions/d1/6e/c05df2d668a6.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0e5346b5a1c58fb19a2f405dff6df5135b29a469","width":430},"correct":{"coords":[[-9,-8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/75/0dc15a6f3d6b.json b/data/questions/d1/75/0dc15a6f3d6b.json new file mode 100644 index 0000000000..c50b17207d --- /dev/null +++ b/data/questions/d1/75/0dc15a6f3d6b.json @@ -0,0 +1 @@ +{"content":"Scientists are sending a rover to Mars. Their plan is to study a rectangular area of Mars represented by the grid below. On the grid, $1$ unit represents $1$ kilometer $(\\text{km})$.\n\nThe rover will land at $(2.5,2)$, explore up to $(2.5,4.5)$, and then over to $(4,4.5)$. \n\n**Plot these points on the map.**\n\n**What are the coordinates of the fourth vertex of the rectangle that the scientists plan to explore?** \n$($[[☃ input-number 1]], [[☃ input-number 2]]$)$\n\n**What is the horizontal length of the rectangle?** \n[[☃ input-number 3]]\n\n**What is the vertical length of the rectangle?** \n[[☃ input-number 4]]\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2.5,2],[2.5,4.5],[4,4.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/76/dec1acde8883.json b/data/questions/d1/76/dec1acde8883.json new file mode 100644 index 0000000000..13a6fabb88 --- /dev/null +++ b/data/questions/d1/76/dec1acde8883.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x -5|$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,0],[6,1]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/7a/1816f60f7be7.json b/data/questions/d1/7a/1816f60f7be7.json new file mode 100644 index 0000000000..f7215ef287 --- /dev/null +++ b/data/questions/d1/7a/1816f60f7be7.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{x=-\\dfrac{y+7}{2}}$\n\n$\\qquad\\pink{5x=3y-12}$\n\n**Create a new equation by setting the left-hand side of the upper equation equal to the right-hand side of the lower equation and solving for $y$.** \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":true},{"content":"is also","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=1/3x+4"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/89c3acfdfe02753b55018d44e11320486a2e6449.png","width":425},"correct":{"coords":[[3,5],[0,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/87/497b7cc0a553.json b/data/questions/d1/87/497b7cc0a553.json new file mode 100644 index 0000000000..43f8f44bca --- /dev/null +++ b/data/questions/d1/87/497b7cc0a553.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{B}$ and goes through point $\\text{A}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":false},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":true},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":true},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/140993e12589b317f7bdbd667555ef1c48b26911.png","width":400},"correct":{"coords":[[5,3],[-5,-5]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/89/08c3d42102d9.json b/data/questions/d1/89/08c3d42102d9.json new file mode 100644 index 0000000000..93052895bd --- /dev/null +++ b/data/questions/d1/89/08c3d42102d9.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{7}{2}x$ \n \n \n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/059b8da98ba9ac1badc2f05d991eaf655ccf0101.png":{"height":435,"width":429}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"7"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"14"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,7],[4,14]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,15],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Ýéèśŝ**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":true},{"content":"**ŃŇóò**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ńňóòťț ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/92/7378083a2c9d.json b/data/questions/d1/92/7378083a2c9d.json new file mode 100644 index 0000000000..f02825b0c3 --- /dev/null +++ b/data/questions/d1/92/7378083a2c9d.json @@ -0,0 +1 @@ +{"content":"Line segments $\\overline{QR}$ and $\\overline{ST}$ are reflected over the line $y=-2x-3$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the difference.**\n\n$\\vec u-\\vec w=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,0],[2,5],[-1,7],[-3,2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/a3/81e1d88b1768.json b/data/questions/d1/a3/81e1d88b1768.json new file mode 100644 index 0000000000..abc804703e --- /dev/null +++ b/data/questions/d1/a3/81e1d88b1768.json @@ -0,0 +1 @@ +{"content":"crwdns3457584:0crwdne3457584:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-2,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/b3/738cd40d92c5.json b/data/questions/d1/b3/738cd40d92c5.json new file mode 100644 index 0000000000..64366cae2d --- /dev/null +++ b/data/questions/d1/b3/738cd40d92c5.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(−8,9), (−9,7), (−9,4), (−6,1), (−3,5), (−4,9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,9],[-9,7],[-9,4],[-6,1],[-3,5],[-4,9]],"numSides":"unlimited","showAngles":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d1/b3/98ecede2db77.json b/data/questions/d1/b3/98ecede2db77.json new file mode 100644 index 0000000000..a862366808 --- /dev/null +++ b/data/questions/d1/b3/98ecede2db77.json @@ -0,0 +1 @@ +{"content":"Match the segment to the dotted segment in the background.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"point","coord":[-9,9],"color":"green","filled":true},{"type":"line","kind":"segment","points":[{"type":"point","coord":[3,8],"color":"blue","filled":true},{"type":"point","coord":[8,8],"color":"blue","filled":true}],"color":"blue","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"ellipse","center":[0,2],"radius":[1,1],"angle":0,"color":"purple","fillStyle":"none","strokeStyle":"solid"},{"type":"vector","points":[[-2,-2],[-4,-4]],"color":"pink"},{"type":"polygon","points":[[5,-3],[4,-5],[6,-5]],"color":"orange","showVertices":false,"fillStyle":"none","strokeStyle":"solid"}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[3,8],[8,8]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/bc/66540df7f805.json b/data/questions/d1/bc/66540df7f805.json new file mode 100644 index 0000000000..3f5ea324bd --- /dev/null +++ b/data/questions/d1/bc/66540df7f805.json @@ -0,0 +1 @@ +{"content":"Sue is a software engineer. She wants to create a large scale drawing of a processor inside a cell phone. The processor is a square chip $9\\text{ mm}$ on each side.\n\n**Draw the processor such that $1$ unit on the grid below represents $\\dfrac{1}{2}\\text{ mm}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[10,-9],[10,9],[-8,9],[-8,-9]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["x","y"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/be/7d5b42d0c1cf.json b/data/questions/d1/be/7d5b42d0c1cf.json new file mode 100644 index 0000000000..5fcbc8027e --- /dev/null +++ b/data/questions/d1/be/7d5b42d0c1cf.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{2}{3}x^2+4x+4$\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-3,-2],[0,4]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/ce/20cbb76767e5.json b/data/questions/d1/ce/20cbb76767e5.json new file mode 100644 index 0000000000..0ef4332bbe --- /dev/null +++ b/data/questions/d1/ce/20cbb76767e5.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{7}(x -7)(x +7)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,7],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/d1/f4d5d2daadd2.json b/data/questions/d1/d1/f4d5d2daadd2.json new file mode 100644 index 0000000000..53c6a2247c --- /dev/null +++ b/data/questions/d1/d1/f4d5d2daadd2.json @@ -0,0 +1 @@ +{"content":"The graph of the function $f(x)=-\\dfrac{1}{4}x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=-\\dfrac{1}{4}(x+3)^2$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-3,0],[-1,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/950389501cb3ba2f3708c314114bf9fac36fa80d","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d1/f2/cf0a1cdd9dc8.json b/data/questions/d1/f2/cf0a1cdd9dc8.json new file mode 100644 index 0000000000..2c2f80d379 --- /dev/null +++ b/data/questions/d1/f2/cf0a1cdd9dc8.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=-5f(x)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"up","correct":false},{"content":"down","correct":true}],"placeholder":"up/down","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"right","correct":true},{"content":"left","correct":false}],"placeholder":"right/left","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 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The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false,"isNoneOfTheAbove":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d2/13/55388ff9cc86.json b/data/questions/d2/13/55388ff9cc86.json new file mode 100644 index 0000000000..e388fffc96 --- /dev/null +++ b/data/questions/d2/13/55388ff9cc86.json @@ -0,0 +1 @@ +{"content":"In the coordinate plane below, the $x$-axis represents the number of days after today, and the $y$-axis represents the temperature forecast in degrees Celsius. The points $(3,7)$ and $(3,-3)$ represent the high and low temperature forecasts of the same day.\n\n**Plot the points on the coordinate plane.**\n\n[[☃ interactive-graph 1]]\n\n**What is the difference between the high and the low temperature forecasts?** \n\n[[☃ input-number 1]] degrees Celsius\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,-3],[3,7]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[0.5,1],"labels":["x (\\text{days})","y (^\\circ\\text{C})"],"markings":"graph","range":[[-2,8],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/14/20a7086dd60b.json b/data/questions/d2/14/20a7086dd60b.json new file mode 100644 index 0000000000..60ae1a1926 --- /dev/null +++ b/data/questions/d2/14/20a7086dd60b.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=\\dfrac{1}{3}f(x)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"up","correct":false},{"content":"down","correct":true}],"placeholder":"up/down","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"right","correct":true},{"content":"left","correct":false}],"placeholder":"right/left","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-3,-1],[3,1]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false,"isNoneOfTheAbove":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d2/14/a9ce01755f04.json b/data/questions/d2/14/a9ce01755f04.json new file mode 100644 index 0000000000..3c4f31e26c --- /dev/null +++ b/data/questions/d2/14/a9ce01755f04.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{B}$, and the other line goes through points $\\text{A}$ and $\\text{C}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":true},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":false},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":false},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/1268623d66270bd03a9a8001c96b2bc7d0e45910.png","width":400},"box":[340,340],"correct":{"coords":[[[0,7],[2,-7]],[[-2,-7],[0,7]]],"type":"linear-system"},"editableSettings":["graph","snap","image","measure"],"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/25/82cdaab0ef4c.json b/data/questions/d2/25/82cdaab0ef4c.json new file mode 100644 index 0000000000..a83a04afc1 --- /dev/null +++ b/data/questions/d2/25/82cdaab0ef4c.json @@ -0,0 +1 @@ +{"content":"crwdns3462802:0$ycrwdnd3462802:0{2}crwdnd3462802:0{3}crwdne3462802:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,-2],[0,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/29/4958efd337e0.json b/data/questions/d2/29/4958efd337e0.json new file mode 100644 index 0000000000..9da260bc5d --- /dev/null +++ b/data/questions/d2/29/4958efd337e0.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $16$ units\n\n\n- Its amplitude is $6$ units\n\n\n- It intersects its midline at $(-2,3.5)$ and then decreases\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[-2,3.5],[2,-2.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/31/c3a4fabecb33.json b/data/questions/d2/31/c3a4fabecb33.json new file mode 100644 index 0000000000..0ff14bc801 --- /dev/null +++ b/data/questions/d2/31/c3a4fabecb33.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$1$|$25$|$4$|$4$|$25$\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n[[☃ radio 2]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/92eccab0edfb33247074989283fce477c5727d8b","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,1]],[[-5,-3],[5,1]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d2/33/45295b4fd399.json b/data/questions/d2/33/45295b4fd399.json new file mode 100644 index 0000000000..1540067da8 --- /dev/null +++ b/data/questions/d2/33/45295b4fd399.json @@ -0,0 +1 @@ +{"content":"crwdns3209056:0$TULIP$crwdnd3209056:0$R_crwdne3209056:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/1c610173e7b3f5d011a62e832d24fd6890776655.png","width":425},"correct":{"coords":[[6,5],[4,2],[4,-3],[7,-2],[8,2]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d2/3f/3694aab231c6.json b/data/questions/d2/3f/3694aab231c6.json new file mode 100644 index 0000000000..19c170ac89 --- /dev/null +++ b/data/questions/d2/3f/3694aab231c6.json @@ -0,0 +1 @@ +{"content":"crwdns3320874:0$gcrwdne3320874:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[-1,-3],[0,-12]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,3],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-5,5],[-18,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,1.5],"step":[1,3],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/5b/e95fc9398d13.json b/data/questions/d2/5b/e95fc9398d13.json new file mode 100644 index 0000000000..3601caaec9 --- /dev/null +++ b/data/questions/d2/5b/e95fc9398d13.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/745705c682793f354a91911925896e5d4337b416)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/8e90c40d939420a387dda6e860ff0e6cc1b85fdf.png":{"height":234,"width":132},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/745705c682793f354a91911925896e5d4337b416":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-\\dfrac35$","$\\dfrac15$","$0.8$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/6a/dd75a6571fc9.json b/data/questions/d2/6a/dd75a6571fc9.json new file mode 100644 index 0000000000..39368097eb --- /dev/null +++ b/data/questions/d2/6a/dd75a6571fc9.json @@ -0,0 +1 @@ +{"content":"**Graph the following system of linear equations and determine the number of its solutions.**\n\n$\\qquad y=2x-3$\n\n$\\qquad 5x-5y=40$\n\n[[☃ radio 1]]\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,-3],[1,-1]],[[1,-7],[0,-8]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":true},{"content":"No solutions","correct":false},{"content":"Infinitely many solutions","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/73/79c1daf79f72.json b/data/questions/d2/73/79c1daf79f72.json new file mode 100644 index 0000000000..3620384bc9 --- /dev/null +++ b/data/questions/d2/73/79c1daf79f72.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/189b44a485844e57a098744db13741694173ac16","width":425},"correct":{"coords":[[-3,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/75/71ec8eb73879.json b/data/questions/d2/75/71ec8eb73879.json new file mode 100644 index 0000000000..ffe7883664 --- /dev/null +++ b/data/questions/d2/75/71ec8eb73879.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $ABCD$ after reflection across the line $y = -3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8096bbf6a6a1e4ac9640a056af2f16754bdd17c8.png","width":425},"correct":{"coords":[[6,-2],[2,-7],[4,-9],[9,-9]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d2/75/845759d5049e.json b/data/questions/d2/75/845759d5049e.json new file mode 100644 index 0000000000..b1e316cbfb --- /dev/null +++ b/data/questions/d2/75/845759d5049e.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2\\cdot 3^{-x}-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-4],[10,-4]],"coords":[[0,-2],[-1,2]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/96/6260ecedca02.json b/data/questions/d2/96/6260ecedca02.json new file mode 100644 index 0000000000..e99bbe6111 --- /dev/null +++ b/data/questions/d2/96/6260ecedca02.json @@ -0,0 +1 @@ +{"content":"**Graph $-9x+5y=45$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[0,9],[-5,0]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/9b/bcec0b2bef57.json b/data/questions/d2/9b/bcec0b2bef57.json new file mode 100644 index 0000000000..8ede355fcd --- /dev/null +++ b/data/questions/d2/9b/bcec0b2bef57.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec u$ and $\\vec w$:\n\n$\\begin{align}\n\\vec u&=(5,-2)\n\\\\\\\\\n\\vec w&=(1,4)\n\\end{align}$\n\n*Answer two questions about the addition $\\vec u+\\vec w$.*\n\nPerforming the addition using the parallelogram rule, with $\\vec u$ and $\\vec w$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the sum.**\n\n$\\vec u+\\vec w=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,-2],[6,2],[1,4],[0,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/ad/973d011440cc.json b/data/questions/d2/ad/973d011440cc.json new file mode 100644 index 0000000000..a6b3b26435 --- /dev/null +++ b/data/questions/d2/ad/973d011440cc.json @@ -0,0 +1 @@ +{"content":"crwdns3318035:0$ycrwdnd3318035:0$ycrwdnd3318035:0{-1}crwdne3318035:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4afc8019a65038699d6a783b9b8b8edf95e62acf","width":425},"correct":{"coords":[[[-5,-7],[-2,-1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/b7/b9ae55da51c7.json b/data/questions/d2/b7/b9ae55da51c7.json new file mode 100644 index 0000000000..0a968ce1af --- /dev/null +++ b/data/questions/d2/b7/b9ae55da51c7.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\dfrac{2^x}{x-1}$ and let $g(x)=-4x-2$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\dfrac{2^x}{x-1}=-4x-2$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-1,2],[0,-2]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3d80c21f0e7c97a6bf1cb081c7f01e25fde28721","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":0.659},{"maxError":0.5,"message":"We're asked to find the greater of the two solutions. This approximates the lesser solution. ","simplify":"required","status":"wrong","strict":false,"value":-0.4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/b8/7ac84fdf6d38.json b/data/questions/d2/b8/7ac84fdf6d38.json new file mode 100644 index 0000000000..ee1963d448 --- /dev/null +++ b/data/questions/d2/b8/7ac84fdf6d38.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism with a triangular base. The base of the prism has the shape of an equilateral triangle with side length $2$. The height of the prism is $3$.\n\n![prism with a triangular base](https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png)\n \n**Drag the corners of the triangle below to draw the shape of a horizontal slice through the prism.**\n\nThe starter triangle is only approximate. Draw the exact side lengths.\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/21da0fa2f1b8ebc905f9314b45bdc9ef520cafa1.png":{"height":280,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2.6199919742971387,0.853372332149325],[1.4999999999999998,2.510362971081844],[0.6250000000000016,0.7119261498395746]],"match":"similar","numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,4],[-1,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/b9/144952aad49c.json b/data/questions/d2/b9/144952aad49c.json new file mode 100644 index 0000000000..2fb1888d7d --- /dev/null +++ b/data/questions/d2/b9/144952aad49c.json @@ -0,0 +1 @@ +{"content":"crwdns3462799:0$ycrwdne3462799:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-5],[0,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/be/7ae232d4a9d5.json b/data/questions/d2/be/7ae232d4a9d5.json new file mode 100644 index 0000000000..eeed7425bb --- /dev/null +++ b/data/questions/d2/be/7ae232d4a9d5.json @@ -0,0 +1 @@ +{"content":"crwdns2984020:0$12$crwdne2984020:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[5,1],[5,7],[5,13]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2956572:0crwdne2956572:0","correct":false},{"content":"crwdns2699412:0crwdne2699412:0","correct":true},{"content":"crwdns2699525:0crwdne2699525:0"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d2/c2/4fe5a5040adc.json b/data/questions/d2/c2/4fe5a5040adc.json new file mode 100644 index 0000000000..43324db0f4 --- /dev/null +++ b/data/questions/d2/c2/4fe5a5040adc.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1a31dd15da9da65b58c639b47ac27fbb442be65f","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-5,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/c4/a14a1d344c2a.json b/data/questions/d2/c4/a14a1d344c2a.json new file mode 100644 index 0000000000..611a6c62db --- /dev/null +++ b/data/questions/d2/c4/a14a1d344c2a.json @@ -0,0 +1 @@ +{"content":"crwdns4072039:0crwdne4072039:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.640450870633723,2.2429119842261436],[0.13809773490553745,10.91055677536669],[3.699587346119687,2.520213048931131]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/d0/ddeee3158e01.json b/data/questions/d2/d0/ddeee3158e01.json new file mode 100644 index 0000000000..df34804e70 --- /dev/null +++ b/data/questions/d2/d0/ddeee3158e01.json @@ -0,0 +1 @@ +{"content":"crwdns3154017:0crwdne3154017:0","images":{"https://ka-perseus-images.s3.amazonaws.com/35885f17b49ccb2e1d3d4465a9dd0be1dfc340fc.png":{"height":104,"width":478}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3154055:0$3$crwdnd3154055:0$y$crwdnd3154055:0$11$crwdne3154055:0","correct":false},{"content":"crwdns3154054:0$3$crwdnd3154054:0$11$crwdnd3154054:0$y$crwdne3154054:0","correct":false},{"content":"crwdns3154051:0$11$crwdnd3154051:0$y$crwdnd3154051:0$3$crwdne3154051:0","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/d4/3e1557bf9ef8.json b/data/questions/d2/d4/3e1557bf9ef8.json new file mode 100644 index 0000000000..d201bc85bb --- /dev/null +++ b/data/questions/d2/d4/3e1557bf9ef8.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-6,8)$ and $(0,8)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":6,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null},{"value":-6,"status":"wrong","message":"Remember that distance should always be positive.","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":""},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[0,8],[-6,8]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/e6/b2b052c18ec1.json b/data/questions/d2/e6/b2b052c18ec1.json new file mode 100644 index 0000000000..4dd4e89ae8 --- /dev/null +++ b/data/questions/d2/e6/b2b052c18ec1.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-6)$ and has a slope of $\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-5,-6],[-2,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/ee/0bac53e2e592.json b/data/questions/d2/ee/0bac53e2e592.json new file mode 100644 index 0000000000..8d9fc18077 --- /dev/null +++ b/data/questions/d2/ee/0bac53e2e592.json @@ -0,0 +1 @@ +{"content":"crwdns5574167:0crwdne5574167:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[6,3],[2,2]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/f1/9ca2a10f8d8c.json b/data/questions/d2/f1/9ca2a10f8d8c.json new file mode 100644 index 0000000000..76ff9c6be5 --- /dev/null +++ b/data/questions/d2/f1/9ca2a10f8d8c.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -4+2i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-4,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/f4/6487e2cf6c00.json b/data/questions/d2/f4/6487e2cf6c00.json new file mode 100644 index 0000000000..9c0915667c --- /dev/null +++ b/data/questions/d2/f4/6487e2cf6c00.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y= 3x+3}$\n\n$\\qquad\\pink{2y=\\dfrac{2}{3} x+12}$\n\n**Create a new equation by subtracting the second equation from the first.** \n(Be sure to combine like terms.) \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=-7/3x+9"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/cefc9d5f5b0d5b753b4baabc3cd588ee51b335d0.png","width":425},"correct":{"coords":[[0,9],[3,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d2/f4/64f0e445ccfa.json b/data/questions/d2/f4/64f0e445ccfa.json new file mode 100644 index 0000000000..79dd0723f9 --- /dev/null +++ b/data/questions/d2/f4/64f0e445ccfa.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-3|-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[3,-3],[0,0]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/0f/d6a61791929b.json b/data/questions/d3/0f/d6a61791929b.json new file mode 100644 index 0000000000..ef75ae805a --- /dev/null +++ b/data/questions/d3/0f/d6a61791929b.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(6, 4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/18/41844f6e4a2e.json b/data/questions/d3/18/41844f6e4a2e.json new file mode 100644 index 0000000000..abf01a38f1 --- /dev/null +++ b/data/questions/d3/18/41844f6e4a2e.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +2x +4y -44=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,-2],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/20/d2a5f7240316.json b/data/questions/d3/20/d2a5f7240316.json new file mode 100644 index 0000000000..adf19ebd2b --- /dev/null +++ b/data/questions/d3/20/d2a5f7240316.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac25$ that contains the point $(-2,4)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-2,4],[3,6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/21/a138539a6f5c.json b/data/questions/d3/21/a138539a6f5c.json new file mode 100644 index 0000000000..f0d4852b4f --- /dev/null +++ b/data/questions/d3/21/a138539a6f5c.json @@ -0,0 +1 @@ +{"content":"crwdns3897364:0crwdne3897364:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-6,0],[0,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/22/03c3c9caecd1.json b/data/questions/d3/22/03c3c9caecd1.json new file mode 100644 index 0000000000..8fda42f522 --- /dev/null +++ b/data/questions/d3/22/03c3c9caecd1.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-6$|$3$|$-6$|$2$|$-6$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93f893be5d4f1d7a3afba7f5cca7c155e1b75863","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,4]]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/d3/27/c849078f57d2.json b/data/questions/d3/27/c849078f57d2.json new file mode 100644 index 0000000000..ebf1161dbb --- /dev/null +++ b/data/questions/d3/27/c849078f57d2.json @@ -0,0 +1 @@ +{"content":"**Graph $y=x+4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,4],[1,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/2a/cd604184f10a.json b/data/questions/d3/2a/cd604184f10a.json new file mode 100644 index 0000000000..a1c77124e6 --- /dev/null +++ b/data/questions/d3/2a/cd604184f10a.json @@ -0,0 +1 @@ +{"content":"**Plot the following complex numbers on the complex plane below:**\n\n* $z=-8i$ \n* $ w=1-4i$ \n* $z-w$\n* The midpoint of the segment connecting $z$ and $w$\n\nThe distance between $z$ and $w$ is [[☃ input-number 1]].\n\nExpress your answer as a decimal rounded to the nearest tenth.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4.1},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ed9ce4eb0526f1c335eaea9b3a1920232455ec57.png","width":425},"correct":{"coords":[[0.5,-6],[1,-4],[-1,-4],[0,-8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/4a/d4686febf64b.json b/data/questions/d3/4a/d4686febf64b.json new file mode 100644 index 0000000000..4e61690c90 --- /dev/null +++ b/data/questions/d3/4a/d4686febf64b.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2ecbb186c9758ec80dcb3563f14eadcffe8960be","width":425},"correct":{"coords":[[-1,-2],[3,-2],[-6,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/50/71367e2bd5ed.json b/data/questions/d3/50/71367e2bd5ed.json new file mode 100644 index 0000000000..7c3b68a6c2 --- /dev/null +++ b/data/questions/d3/50/71367e2bd5ed.json @@ -0,0 +1 @@ +{"content":"crwdns4242793:0$30$crwdne4242793:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[6,-4],[6,2],[-3,2],[-3,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/55/100e1539e954.json b/data/questions/d3/55/100e1539e954.json new file mode 100644 index 0000000000..f390ecb21d --- /dev/null +++ b/data/questions/d3/55/100e1539e954.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(6,-8)$, $(2,7)$, and $(1,-4)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,-4],[6,-8],[2,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/6b/bdedada3b18e.json b/data/questions/d3/6b/bdedada3b18e.json new file mode 100644 index 0000000000..2051a00a80 --- /dev/null +++ b/data/questions/d3/6b/bdedada3b18e.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2683edd01039f0f67af98115da7d56da87bef1cd","width":425},"correct":{"coords":[[-2,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/6d/fd4b0ecab5e5.json b/data/questions/d3/6d/fd4b0ecab5e5.json new file mode 100644 index 0000000000..2ea3ba0c8b --- /dev/null +++ b/data/questions/d3/6d/fd4b0ecab5e5.json @@ -0,0 +1 @@ +{"content":"crwdns6727196:0$xcrwdne6727196:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-8,8],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/7b/217242c456b0.json b/data/questions/d3/7b/217242c456b0.json new file mode 100644 index 0000000000..6692f6156c --- /dev/null +++ b/data/questions/d3/7b/217242c456b0.json @@ -0,0 +1 @@ +{"content":"crwdns2943536:0{cm}crwdnd2943536:0$32.5$crwdnd2943536:0$15$crwdnd2943536:0$7.5$crwdnd2943536:0$27.5$crwdnd2943536:0$15$crwdnd2943536:0$32.5$crwdnd2943536:0{cm}crwdnd2943536:0$6.5$crwdnd2943536:0$4.5$crwdnd2943536:0$7$crwdnd2943536:0$9$crwdnd2943536:0$5.5$crwdnd2943536:0$3$crwdne2943536:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15,4.5],[15,5.5],[7.5,7],[32.5,6.5],[27.5,9],[32.5,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["crwdns3886622:0{Height}crwdne3886622:0","crwdns3886623:0{Petal length}crwdne3886623:0"],"markings":"graph","range":[[-4,42],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.5],"step":[5,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/7b/520504f20f52.json b/data/questions/d3/7b/520504f20f52.json new file mode 100644 index 0000000000..55cb7498aa --- /dev/null +++ b/data/questions/d3/7b/520504f20f52.json @@ -0,0 +1 @@ +{"content":"crwdns3362586:0$fcrwdnd3362586:0$gcrwdnd3362586:0$ycrwdnd3362586:0$ycrwdnd3362586:0$x_1$crwdnd3362586:0$x_2$crwdnd3362586:0$xcrwdnd3362586:0$x_1crwdnd3362586:0$x_1$crwdnd3362586:0{0.5}crwdne3362586:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-2,4],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/27f164c2c97422a0dddfe2c5d4a12c7ff4b0a2e1","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":0.23},{"maxError":0.5,"message":"crwdns3882553:0crwdne3882553:0","simplify":"required","status":"wrong","strict":false,"value":-6.6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/83/ed6c8a0c3fd3.json b/data/questions/d3/83/ed6c8a0c3fd3.json new file mode 100644 index 0000000000..a1d34f2830 --- /dev/null +++ b/data/questions/d3/83/ed6c8a0c3fd3.json @@ -0,0 +1 @@ +{"content":"**Construct a $75^\\circ$ angle.** \n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/9a/9be9074da316.json b/data/questions/d3/9a/9be9074da316.json new file mode 100644 index 0000000000..df7a1be8db --- /dev/null +++ b/data/questions/d3/9a/9be9074da316.json @@ -0,0 +1 @@ +{"content":"crwdns3458186:0crwdne3458186:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/9c/6a1569371c90.json b/data/questions/d3/9c/6a1569371c90.json new file mode 100644 index 0000000000..7a443e932a --- /dev/null +++ b/data/questions/d3/9c/6a1569371c90.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the dashed, green line segment shown below. \n\n**Drag the endpoints of the solid segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c2e06d1287d7631948c8f8e3d0d0279a2be3c371","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"segment"},"correct":{"type":"segment","coords":[[[-6,7],[-1,-2]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/9d/023e2e69aec2.json b/data/questions/d3/9d/023e2e69aec2.json new file mode 100644 index 0000000000..726abaf037 --- /dev/null +++ b/data/questions/d3/9d/023e2e69aec2.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=2(x+1)(x-1)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,-2],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/9d/c3107617a526.json b/data/questions/d3/9d/c3107617a526.json new file mode 100644 index 0000000000..df15e011fe --- /dev/null +++ b/data/questions/d3/9d/c3107617a526.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $3$ apples cost $\\$5$. You can buy $6$ apples for $\\$9$.\n\n\n**Graph the points described by the given information.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/d436496c2ce92f8009b80ea37eee4e52921063e8.png":{"height":432,"width":443}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":431,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","width":431},"correct":{"coords":[[60,90],[30,50]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Ýéèśŝ**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":false},{"content":"**ŃŇóò**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ńňóòťț ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/a9/9a7bc788ae3a.json b/data/questions/d3/a9/9a7bc788ae3a.json new file mode 100644 index 0000000000..56df9e9570 --- /dev/null +++ b/data/questions/d3/a9/9a7bc788ae3a.json @@ -0,0 +1 @@ +{"content":"**Construct a $35^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/0c5cb6794a494c00353580d505daea2b306880e9.png":{"height":198,"width":374},"https://ka-perseus-images.s3.amazonaws.com/b20a059f8f157f0e48bfe7ecaee5d40a38822976.png":{"height":161,"width":215}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[2.8061354926511557,6.017776983877903]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/b5/2f4ab575ea03.json b/data/questions/d3/b5/2f4ab575ea03.json new file mode 100644 index 0000000000..29b13b3332 --- /dev/null +++ b/data/questions/d3/b5/2f4ab575ea03.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -7-7i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-7,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/c6/8a777236248f.json b/data/questions/d3/c6/8a777236248f.json new file mode 100644 index 0000000000..0f7e1cb725 --- /dev/null +++ b/data/questions/d3/c6/8a777236248f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $5$ units to the right and $7$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2a97a1fe92405eb9313b06a6dedeeb00de8f4f38","width":425},"correct":{"coords":[[4,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/c7/565354b27d7c.json b/data/questions/d3/c7/565354b27d7c.json new file mode 100644 index 0000000000..367b2b9068 --- /dev/null +++ b/data/questions/d3/c7/565354b27d7c.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x-2|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[2,2],[0,4]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/cb/7131c7ac4658.json b/data/questions/d3/cb/7131c7ac4658.json new file mode 100644 index 0000000000..74537ea05c --- /dev/null +++ b/data/questions/d3/cb/7131c7ac4658.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7604af80632be3aabfe6e36fce1e7c9746efdfff","width":400},"correct":{"coords":[[[0.5,4.5],[3,2]],[[3,2],[2,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,6],[-2,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/d8/7758416fcabc.json b/data/questions/d3/d8/7758416fcabc.json new file mode 100644 index 0000000000..e6b8ec3347 --- /dev/null +++ b/data/questions/d3/d8/7758416fcabc.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nThe number of songs that can fit on a hard drive depends on its storage space. \n\n| | |\n- | :-: | :-:| :-:| :-:\nSongs | $100$ | $200$| $400$ \nStorage space $(\\text{GB})$ | $0.5$ | $1$ | $2$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the number of songs that can fit on a hard drive proportional to its storage space?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0.5,100],[1,200],[2,400]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,50],"labels":["$\\text{Storage}$","$\\text{Songs}$"],"markings":"graph","range":[[-0.5,4.5],[-40,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,25],"step":[0.5,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d3/de/7ad0b350e9df.json b/data/questions/d3/de/7ad0b350e9df.json new file mode 100644 index 0000000000..7d6a7f733c --- /dev/null +++ b/data/questions/d3/de/7ad0b350e9df.json @@ -0,0 +1 @@ +{"content":"crwdns2971533:0crwdne2971533:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b9c16562ab000e0a54bcfd31d5a442546e182f0","width":400},"correct":{"coords":[[[3,0],[6,4]],[[-2,0],[3,0]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/f7/fed76aadb08a.json b/data/questions/d3/f7/fed76aadb08a.json new file mode 100644 index 0000000000..48958bd0b2 --- /dev/null +++ b/data/questions/d3/f7/fed76aadb08a.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{3}{2}x+2$ \n \n\n\n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\nDrag the points on the graph to the specified coordinates.\n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/e80a5c39c2feea03393b4fe2d052fd4776d1f50e.png":{"height":431,"width":426}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"5"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"8"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,5],[4,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Ýéèśŝ**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":false},{"content":"**ŃŇóò**. ŤŢĥȟéè ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ íìśŝ ńňóòťț ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ.","correct":true}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d3/f8/a43b514a3897.json b/data/questions/d3/f8/a43b514a3897.json new file mode 100644 index 0000000000..c7a9d84ce9 --- /dev/null +++ b/data/questions/d3/f8/a43b514a3897.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(3,-3)$, and the upper-right coordinates are $(7,-3)$. The rectangle has an area of $16$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[7,-7],[7,-3],[3,-3],[3,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/1a/c03c7d9e69c8.json b/data/questions/d4/1a/c03c7d9e69c8.json new file mode 100644 index 0000000000..74cd06bcdb --- /dev/null +++ b/data/questions/d4/1a/c03c7d9e69c8.json @@ -0,0 +1 @@ +{"content":"crwdns4115383:0$ABCD$crwdne4115383:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e8901a77c39d9c986e6cf364a7dab1fc7732568c","width":400},"correct":{"coords":[[6,4],[7,6],[5,5],[6,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/1a/fa34c8b06b21.json b/data/questions/d4/1a/fa34c8b06b21.json new file mode 100644 index 0000000000..abc3a42de2 --- /dev/null +++ b/data/questions/d4/1a/fa34c8b06b21.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"width":375,"height":375}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[5,5],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1197a7ebeae001f5aebe8610344448e891f8cf38","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-24,24],[-24,24]],"gridStep":[5,5],"snapStep":[2,2],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[12,0],[-12,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/1b/534970cdc31e.json b/data/questions/d4/1b/534970cdc31e.json new file mode 100644 index 0000000000..9d1117b668 --- /dev/null +++ b/data/questions/d4/1b/534970cdc31e.json @@ -0,0 +1 @@ +{"content":"**Match each expression with its appropriate interpretation.**\n\n[[☃ matcher 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/f1347fd535eef97cf4b2cc58175be73f7a61e8cc.png":{"height":528,"width":1312}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":""}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["ÉÈẍẋṕṗŕřéèśŝśŝíìóòńň","ÎÏńňťțéèŕřṕṗŕřéèťțáàťțíìóòńň"],"left":["$7 - 9$","$\\left\\lvert 7 - 9\\right\\rvert$","$7 + (-7)$"],"orderMatters":false,"padding":true,"right":["The number $9$ to the left of $7$ on the horizontal number line","The distance between $7$ and $9$ on the number line","ŚŜúùḿṁśŝ ťțóò źžéèŕřóò"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$|a - b| \\cdot |c - d|$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$|a - e|$","$|b - f|$","$|a - c|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/1d/7d02ee7fd5d0.json b/data/questions/d4/1d/7d02ee7fd5d0.json new file mode 100644 index 0000000000..9f490511e7 --- /dev/null +++ b/data/questions/d4/1d/7d02ee7fd5d0.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(-4, -6)$.** \n$$ \n\n[[☃ interaction 1]]\n\n**What is located $4$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-4","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-6"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"2","coordY":"7"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"ÁÀ"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"ɃḂ"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"ĆĈ"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":false},{"content":"Point $C$","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/22/dd3d98e1b731.json b/data/questions/d4/22/dd3d98e1b731.json new file mode 100644 index 0000000000..8d4bc9fa95 --- /dev/null +++ b/data/questions/d4/22/dd3d98e1b731.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=-2x+8\n\\\\\\\\\ny=3x-2\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,8],[1,6]],[[0,-2],[1,1]]],"hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/2f/8723abdb338f.json b/data/questions/d4/2f/8723abdb338f.json new file mode 100644 index 0000000000..950550872a --- /dev/null +++ b/data/questions/d4/2f/8723abdb338f.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(-5,-9)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(-5,-9)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,-9]],"type":"point"},"graph":{"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ḟíìŕřśŝťț ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŚŜéèćĉóòńňďđ ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŤŢĥȟíìŕřďđ ʠúùáàďđŕřáàńňťț","correct":true},{"content":"Ḟóòúùŕřťțĥȟ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d4/34/588a8780d169.json b/data/questions/d4/34/588a8780d169.json new file mode 100644 index 0000000000..fd381b74d6 --- /dev/null +++ b/data/questions/d4/34/588a8780d169.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube with side length $3$. \n\n![3 by 3 by 3 cube](https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png)\n\n**Drag the corners of the square below to draw the shape of a horizontal slice through the cube.**\n\n[[☃ interactive-graph 1]] \n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f0b7654c0b53908504fb120f51f2b50f3f8fd955.png":{"height":260,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,1],[4,4],[1,4],[1,1]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/54/76fa867d6ae0.json b/data/questions/d4/54/76fa867d6ae0.json new file mode 100644 index 0000000000..0309b3fef7 --- /dev/null +++ b/data/questions/d4/54/76fa867d6ae0.json @@ -0,0 +1 @@ +{"content":"**Graph $y = \\dfrac{5}{8}(x+5)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[3,5],[-5,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/57/b58e41e10c0e.json b/data/questions/d4/57/b58e41e10c0e.json new file mode 100644 index 0000000000..605dff1882 --- /dev/null +++ b/data/questions/d4/57/b58e41e10c0e.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3a1e670475596cf2815b8b00a398bf0217b9ffe7","width":430},"correct":{"coords":[[5,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/60/4a44a5e0d785.json b/data/questions/d4/60/4a44a5e0d785.json new file mode 100644 index 0000000000..145e59aa02 --- /dev/null +++ b/data/questions/d4/60/4a44a5e0d785.json @@ -0,0 +1 @@ +{"content":"crwdns3474919:0crwdne3474919:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,1]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/64/79c3926b4013.json b/data/questions/d4/64/79c3926b4013.json new file mode 100644 index 0000000000..d38fcea0c2 --- /dev/null +++ b/data/questions/d4/64/79c3926b4013.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-6$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-4,-6],[4,-6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/6f/490dcd52bbbd.json b/data/questions/d4/6f/490dcd52bbbd.json new file mode 100644 index 0000000000..0a5fdc3684 --- /dev/null +++ b/data/questions/d4/6f/490dcd52bbbd.json @@ -0,0 +1 @@ +{"content":"The bowling center wants to build its new location halfway between the towns of Bristol and Madison. Bristol is located at $(1,8)$ on the map below. Madison is located at $(9,8)$. \n\n**Plot Bristol, Madison, and the new bowling center on the map.**\n\n[[☃ interactive-graph 1]] \n\n **At what coordinates should the bowling center build its new location? ** \n\n$($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":8},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,8],[9,8],[1,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/74/a128ed302b25.json b/data/questions/d4/74/a128ed302b25.json new file mode 100644 index 0000000000..71280f284c --- /dev/null +++ b/data/questions/d4/74/a128ed302b25.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw an isosceles triangle with two $40^\\circ$ angles.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.538737563125787,2.7098296192522313],[8.314386480284625,8.21707584692013],[1.9804687593972448,2.517371415088168]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/7f/c8daa0024ea8.json b/data/questions/d4/7f/c8daa0024ea8.json new file mode 100644 index 0000000000..b1a31aca19 --- /dev/null +++ b/data/questions/d4/7f/c8daa0024ea8.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the left and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a19d38e107f52c35d0efd4689b090799e23a12b5","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[0,0],[-3,6],[-3,0],[-6,-1]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/95/113b20f30f17.json b/data/questions/d4/95/113b20f30f17.json new file mode 100644 index 0000000000..2544cd5052 --- /dev/null +++ b/data/questions/d4/95/113b20f30f17.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7ee6359c4699a6e6f347994e4fa3d6a07a4f340b","width":430},"correct":{"coords":[[-5,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/95/7e11ff69af11.json b/data/questions/d4/95/7e11ff69af11.json new file mode 100644 index 0000000000..a909160977 --- /dev/null +++ b/data/questions/d4/95/7e11ff69af11.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a linear function with range $h(x)>-4$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate plane. The x- and y-axes each scale by two. A graph of a line intersects the points (negative 3, 2) and (1, negative 1).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/47ba392d95df97e90f3265a38d97b0cd1fd19c59","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A ray of a linear function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 4, negative 4). There is a line extending from this point upwards and to the left terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/800719a09ad96ff3018d1830d04cd5a1a5c4acaa)","correct":true},{"content":"![A ray of a linear function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 4, negative 4). There is a line extending from this point upwards and to the left terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/8124a2fd4c59139fd10270b39ec717d07d5e15c0)","correct":false},{"content":"![A ray of a linear function is graphed. The x and h of x axes go from negative 10 to 10. There is a filled circle at the point (negative 4, negative 4). There is a line extending from this point downwards and to the right terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/47d72421559ca01dc1d1fbc8ed0a02bc0a38666d)","correct":false,"isNoneOfTheAbove":false},{"content":"![A ray of a linear function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 4, negative 4). There is a line extending from this point downwards and to the right terminating in an arrow at the end of the graph.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/5140bdd36a59ac0ae5d284546fd72e94153e6eb5)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d4/a3/df44838c0e0a.json b/data/questions/d4/a3/df44838c0e0a.json new file mode 100644 index 0000000000..36cfb76b7a --- /dev/null +++ b/data/questions/d4/a3/df44838c0e0a.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=6x^2-18x+12$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[1.5,-1.5],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/a8/d9470eac2067.json b/data/questions/d4/a8/d9470eac2067.json new file mode 100644 index 0000000000..c3c0f003d3 --- /dev/null +++ b/data/questions/d4/a8/d9470eac2067.json @@ -0,0 +1 @@ +{"content":"**Graph $3x+2y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,6],[4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/b1/6b0977bfb776.json b/data/questions/d4/b1/6b0977bfb776.json new file mode 100644 index 0000000000..76b7086f9e --- /dev/null +++ b/data/questions/d4/b1/6b0977bfb776.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-3,-2)$, and which has the point $(-3,-9)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,-2],"radius":7,"type":"circle"},"graph":{"type":"circle"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/b5/c33d726d8a56.json b/data/questions/d4/b5/c33d726d8a56.json new file mode 100644 index 0000000000..40951d327d --- /dev/null +++ b/data/questions/d4/b5/c33d726d8a56.json @@ -0,0 +1 @@ +{"content":"Krista measured the height and petal length (in centimeters) of all the flowers in her garden. \n\n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: \n**Height $(\\text{cm})$** | $32.5$ | $15$ | $7.5$ | $27.5$ | $15$ | $32.5$ \n**Petal length $(\\text{cm})$**| $6.5$ | $4.5$ | $7$ | $9$ | $5.5$ | $3$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15,4.5],[15,5.5],[7.5,7],[32.5,6.5],[27.5,9],[32.5,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["\\ťțéèẍẋťț{ĤȞéèíìĝǧĥȟťț}","\\ťțéèẍẋťț{ṔṖéèťțáàĺľ ĺľéèńňĝǧťțĥȟ}"],"markings":"graph","range":[[-4,42],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,0.5],"step":[5,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/dd/4a1857b40b17.json b/data/questions/d4/dd/4a1857b40b17.json new file mode 100644 index 0000000000..8de5c1a52a --- /dev/null +++ b/data/questions/d4/dd/4a1857b40b17.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-5, 6)$, and the upper-right coordinates are $(-2, 6)$. The rectangle has a perimeter of $16$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-2,1],[-2,6],[-5,6],[-5,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/de/6d7320b7d1a2.json b/data/questions/d4/de/6d7320b7d1a2.json new file mode 100644 index 0000000000..9bd56b038c --- /dev/null +++ b/data/questions/d4/de/6d7320b7d1a2.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-2\\cos\\left(\\dfrac{1}{6}x\\right)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,-5],[0,-7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/e9/020bf7378c8c.json b/data/questions/d4/e9/020bf7378c8c.json new file mode 100644 index 0000000000..4f5430a091 --- /dev/null +++ b/data/questions/d4/e9/020bf7378c8c.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $1$ unit right and $3$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ed21b54e450b1d3537ec7381441a69bc7ccb152","width":425},"correct":{"coords":[[2,2],[6,6],[-3,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/ea/4860849aa8d9.json b/data/questions/d4/ea/4860849aa8d9.json new file mode 100644 index 0000000000..66e589e1c8 --- /dev/null +++ b/data/questions/d4/ea/4860849aa8d9.json @@ -0,0 +1 @@ +{"content":"**Graph $3x-4y=24$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[8,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/eb/dc60ba7a70d2.json b/data/questions/d4/eb/dc60ba7a70d2.json new file mode 100644 index 0000000000..5452979537 --- /dev/null +++ b/data/questions/d4/eb/dc60ba7a70d2.json @@ -0,0 +1 @@ +{"content":"crwdns3389872:0$R$crwdnd3389872:0$Rcrwdnd3389872:0{array}crwdnd3389872:0{ccc}crwdnd3389872:0{array}crwdne3389872:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/004210a20a95bbef5b96b5a286b538b5395e64cd","width":425},"correct":{"coords":[[6,2],[4,5],[0,5],[2,2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/f0/032059ffe794.json b/data/questions/d4/f0/032059ffe794.json new file mode 100644 index 0000000000..8dab21f0fe --- /dev/null +++ b/data/questions/d4/f0/032059ffe794.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\ln(4-x)$ and let $g(x)=|x+3|$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\,\\ln(4-x)=|x+3|$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-3,0],[-4,1]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/83db5cf9dccade88c2520a9edb976c76efce5013","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.25],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-1.327},{"maxError":0.5,"message":"ẂẀéè'ŕřéè áàśŝķḱéèďđ ťțóò ḟíìńňďđ ťțĥȟéè ĝǧŕřéèáàťțéèŕř óòḟ ťțĥȟéè ťțẃẁóò śŝóòĺľúùťțíìóòńňśŝ. ŤŢĥȟíìśŝ áàṕṗṕṗŕřóòẍẋíìḿṁáàťțéèśŝ ťțĥȟéè ĺľéèśŝśŝéèŕř śŝóòĺľúùťțíìóòńň. ","simplify":"required","status":"wrong","strict":false,"value":-5.2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/f2/5d35d79cb47b.json b/data/questions/d4/f2/5d35d79cb47b.json new file mode 100644 index 0000000000..93b1b90f99 --- /dev/null +++ b/data/questions/d4/f2/5d35d79cb47b.json @@ -0,0 +1 @@ +{"content":"**Graph $9x+15y=45$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d4/f3/fd4db86050fa.json b/data/questions/d4/f3/fd4db86050fa.json new file mode 100644 index 0000000000..a78965ff3e --- /dev/null +++ b/data/questions/d4/f3/fd4db86050fa.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $7$ units from Point $\\blueD{D}$ and also share the same $x$-coordinate as Point $\\blueD{D}$.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/40ba06b85132f51ca306328309034d3ad9f1365a","width":425},"correct":{"coords":[[-4,-6],[-4,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/03/e2f1d5ffad6b.json b/data/questions/d5/03/e2f1d5ffad6b.json new file mode 100644 index 0000000000..5b9f9dfb90 --- /dev/null +++ b/data/questions/d5/03/e2f1d5ffad6b.json @@ -0,0 +1 @@ +{"content":"crwdns3897509:0crwdne3897509:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/342d1c43bdbb8187376732832d5f2a7bef08bb03","width":425},"correct":{"coords":[[0,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/08/5b4cc0ea2fd7.json b/data/questions/d5/08/5b4cc0ea2fd7.json new file mode 100644 index 0000000000..95c3da3e66 --- /dev/null +++ b/data/questions/d5/08/5b4cc0ea2fd7.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{1}{5}x^2+2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,5],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/0b/b6ffa9803a31.json b/data/questions/d5/0b/b6ffa9803a31.json new file mode 100644 index 0000000000..9168c79a39 --- /dev/null +++ b/data/questions/d5/0b/b6ffa9803a31.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(1,-5)$ and $(9,1)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1c05a41bc1c91045be8a880a413b971163188437","width":425},"correct":{"coords":[[[1,9],[-5,1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/10/4bbc725184b7.json b/data/questions/d5/10/4bbc725184b7.json new file mode 100644 index 0000000000..caa80e6d3b --- /dev/null +++ b/data/questions/d5/10/4bbc725184b7.json @@ -0,0 +1 @@ +{"content":"You are $5$ miles away from your house when you start walking directly away from your house. In the table below, $w$ represents the number of miles you have walked, and $d$ represents your distance from home in miles.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$d=w+5.$\n\n**Plot two points on the graph that show your distance from home if you walked $6$ miles and $10$ miles.**\n\n$w$ | $d$\n:-:|:-:\n$0$ | $5$\n$1$ | $6$\n$2$ | $7$\n$3$ | $8$\n\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":0,"left":"","scale":"1","url":"","width":0},"correct":{"coords":[[6,11],[10,15]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,18],[-1,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/17/4994c4b5f68e.json b/data/questions/d5/17/4994c4b5f68e.json new file mode 100644 index 0000000000..e8c1a7d127 --- /dev/null +++ b/data/questions/d5/17/4994c4b5f68e.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=x^2-4x+5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,1],[0,5]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/1b/fe4dbd8a91fb.json b/data/questions/d5/1b/fe4dbd8a91fb.json new file mode 100644 index 0000000000..2132481731 --- /dev/null +++ b/data/questions/d5/1b/fe4dbd8a91fb.json @@ -0,0 +1 @@ +{"content":"**Construct a $55^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/6731ea2cba299721285a1824357747498d08c733.png":{"height":303,"width":368},"https://ka-perseus-images.s3.amazonaws.com/676a5fb254816665fe3cc73f46af8a10085cc533.png":{"height":306,"width":223}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3.020934767499292,-1.3891579127651452],[8,-8.5],[0.46947617272296593,-8.499999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/3d/784fe6ffab26.json b/data/questions/d5/3d/784fe6ffab26.json new file mode 100644 index 0000000000..6a50a42d2b --- /dev/null +++ b/data/questions/d5/3d/784fe6ffab26.json @@ -0,0 +1 @@ +{"content":"**Construct a $15^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/87426fa1310546bc52661f6949f357d4d8528de3.png":{"height":85,"width":221},"https://ka-perseus-images.s3.amazonaws.com/b803267f608748cfceebd8c59173383510a737b1.png":{"height":192,"width":372}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.185560572807981,5.18556057280798]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/5e/96c2040803dc.json b/data/questions/d5/5e/96c2040803dc.json new file mode 100644 index 0000000000..29c642f07d --- /dev/null +++ b/data/questions/d5/5e/96c2040803dc.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = \\dfrac{1}{3}f(x)+4$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":true,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"segment"},"valid":true,"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-3,3],[3,5]]]},"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-3,-3],"color":"grayH","filled":true},{"type":"point","coord":[3,3],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/6d/9d7ef424c4a5.json b/data/questions/d5/6d/9d7ef424c4a5.json new file mode 100644 index 0000000000..5172725d32 --- /dev/null +++ b/data/questions/d5/6d/9d7ef424c4a5.json @@ -0,0 +1 @@ +{"content":"**Plot the real zeros of the given polynomial on the graph below.**\n\n$\\qquad p(x)=6x^3-21x^2+15x$\n\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2.5,0],[0,0],[1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d5/70/6e9dd5edd92e.json b/data/questions/d5/70/6e9dd5edd92e.json new file mode 100644 index 0000000000..e87ba90053 --- /dev/null +++ b/data/questions/d5/70/6e9dd5edd92e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac{2}{3}(x)(x-6)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-6],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/7c/5c611a2ba554.json b/data/questions/d5/7c/5c611a2ba554.json new file mode 100644 index 0000000000..e72e9425ac --- /dev/null +++ b/data/questions/d5/7c/5c611a2ba554.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{2}$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c734d43736b8c0402d5da625d45fc3e31f061992","width":400},"correct":{"coords":[[-1,-3],[1,1],[-4,0]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/8a/a44ac2e0d582.json b/data/questions/d5/8a/a44ac2e0d582.json new file mode 100644 index 0000000000..f6197e6edc --- /dev/null +++ b/data/questions/d5/8a/a44ac2e0d582.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=5\\cos\\left(\\dfrac{\\pi}{2}x-\\dfrac{3\\pi}{2}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4,-2],[3,3]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/a4/4356f93e24de.json b/data/questions/d5/a4/4356f93e24de.json new file mode 100644 index 0000000000..499295dfc3 --- /dev/null +++ b/data/questions/d5/a4/4356f93e24de.json @@ -0,0 +1 @@ +{"content":"The $5$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $5$ points, plot the $5$ corresponding points that must be on the graph of $y=\\log_b{x}$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d859f953d57753ceff901ea5bed2674a3b3d9ef6.png","width":425},"correct":{"coords":[[1,0],[2,1],[4,2],[8,3],[16,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["□","□"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/ad/12ffe8c33796.json b/data/questions/d5/ad/12ffe8c33796.json new file mode 100644 index 0000000000..cae6401f01 --- /dev/null +++ b/data/questions/d5/ad/12ffe8c33796.json @@ -0,0 +1 @@ +{"content":"**Use the \"Reflect\" tool to find the image of hexagon $OLDNEW$ for a reflection over the line $x=1$.** \n\n[[☃ transformer 5]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e49d71f4fb8c70d12fb304c8736480ef31f618b5","width":425},"correct":{"coords":[[[-3,6.5],[5,-4]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"transformer 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diff --git a/data/questions/d5/b7/e15ec9aa67a2.json b/data/questions/d5/b7/e15ec9aa67a2.json new file mode 100644 index 0000000000..39716e937c --- /dev/null +++ b/data/questions/d5/b7/e15ec9aa67a2.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\cos\\left(\\dfrac{\\pi}{16}x\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[8,-4],[0,-9]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null,"width":0,"height":0},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/b8/cb391c1f841c.json b/data/questions/d5/b8/cb391c1f841c.json new file mode 100644 index 0000000000..504181e972 --- /dev/null +++ b/data/questions/d5/b8/cb391c1f841c.json @@ -0,0 +1 @@ +{"content":"The number of songs that can fit on a hard drive depends on its storage space. \n\n\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nSongs | $100$ | $200$| $400$ \nStorage space $(\\text{GB})$ | $0.5$ | $1$ | $2$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the number of songs that can fit on a hard drive proportional to its storage space?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0.5,100],[1,200],[2,400]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,50],"labels":["$\\text{Storage}$","$\\text{Songs}$"],"markings":"graph","range":[[-0.5,4.5],[-40,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,25],"step":[0.5,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d5/c9/8ccf32a80c9c.json b/data/questions/d5/c9/8ccf32a80c9c.json new file mode 100644 index 0000000000..f04e2b6293 --- /dev/null +++ b/data/questions/d5/c9/8ccf32a80c9c.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2\\cdot \\left(\\dfrac13\\right)^{x+2}-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-1],[10,-1]],"coords":[[-3,5],[-2,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/d6/5613e455039f.json b/data/questions/d5/d6/5613e455039f.json new file mode 100644 index 0000000000..edcaf32922 --- /dev/null +++ b/data/questions/d5/d6/5613e455039f.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x -5,y )$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa884052e74fe0acc08fcb090d8355aa19dd7d4f","width":425},"correct":{"coords":[[-3,-4],[0,2],[-2,-1],[-4,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/db/c7475060f5d4.json b/data/questions/d5/db/c7475060f5d4.json new file mode 100644 index 0000000000..2f5cdbbbf0 --- /dev/null +++ b/data/questions/d5/db/c7475060f5d4.json @@ -0,0 +1 @@ +{"content":"Move the line segments to make a square with corners at $(-2, 2)$, $(2, 2)$, $(2, -2)$, and $(-2, -2)$.\n\n[[☃ interactive-graph 1]]\n\nThen enter the number $3$ in this box: [[☃ numeric-input 1]]","images":{},"widgets":{"interactive-graph 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1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":3,"status":"correct","message":"The answer is 3 because I said so.","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"The number 3 goes here","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/dd/a3378644e031.json b/data/questions/d5/dd/a3378644e031.json new file mode 100644 index 0000000000..20e4b57ddd --- /dev/null +++ b/data/questions/d5/dd/a3378644e031.json @@ -0,0 +1 @@ +{"content":"crwdns3415416:0$9$crwdnd3415416:0$12$crwdnd3415416:0$15$crwdne3415416:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15.32960747877035,4.857843140337501],[3.3923968271104084,13.940959447965426],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/e0/fc1712fba915.json b/data/questions/d5/e0/fc1712fba915.json new file mode 100644 index 0000000000..dafa1c7d77 --- /dev/null +++ b/data/questions/d5/e0/fc1712fba915.json @@ -0,0 +1 @@ +{"content":"The graph of the function $h(x)=2|x|$ is shown on the grid below.\n\n**Graph the function $f(x)=2|x-8|+1$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":null,"coords":[[8,1],[7,3]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6fb60e5bad041fe69d3485d52b87030ddcc17ac8","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/ea/f6b69c83c08d.json b/data/questions/d5/ea/f6b69c83c08d.json new file mode 100644 index 0000000000..3214fe8274 --- /dev/null +++ b/data/questions/d5/ea/f6b69c83c08d.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7604af80632be3aabfe6e36fce1e7c9746efdfff","scale":"1","bottom":"0","left":"0","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,6],[-2,6]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"segment","numSegments":2},"correct":{"type":"segment","numSegments":2,"coords":[[[0.5,4.5],[3,2]],[[3,2],[2,0]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d5/ef/9aca9159a846.json b/data/questions/d5/ef/9aca9159a846.json new file mode 100644 index 0000000000..f6453b24a0 --- /dev/null +++ b/data/questions/d5/ef/9aca9159a846.json @@ -0,0 +1 @@ +{"content":"Enrique earns $10$ points for each question that he answers correctly on a geography test.\n\n**Write an equation for the number of points, $y$, Enrique scores on the test when he answers $x$ questions correctly.**\n\n[[☃ expression 2]]\n\n\nOn his first geography test, Enrique answered $3$ questions correctly. On his second test, Enrique answered $7$ questions correctly.\n\n**Place points on the graph to show Enrique's first and second geography test.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"expression 2":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=10x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[3,30],[7,70]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,5],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/0c/d06bb2a70f12.json b/data/questions/d6/0c/d06bb2a70f12.json new file mode 100644 index 0000000000..e31ba719e4 --- /dev/null +++ b/data/questions/d6/0c/d06bb2a70f12.json @@ -0,0 +1 @@ +{"content":"Roberto is having his house painted. The job takes three days, and he pays the painter the same hourly rate every day. The cost of the job is in the chart below.\n\n |Day $1$|Day $2$|Day $3$\n-:|-:|-:|-:\nHours worked|$5$|$4$|$6$\nAmount paid|$\\$300$|$\\$240$|$\\$360$\n\n**What is the painter's *unit rate* of change of dollars with respect to time; that is, how much is the painter paid for *one* hour worked? **\n\nThe unit rate of change is [[☃ input-number 1]] dollars per hour.\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing hours worked, and the $y$-coordinate representing amount paid in dollars.**\n\n[[☃ interactive-graph 1]]\n\nGraph the relationship.\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":60},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"graph","range":[[-1,5],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,20]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/19/8d9acbbaf106.json b/data/questions/d6/19/8d9acbbaf106.json new file mode 100644 index 0000000000..b983ee2a8c --- /dev/null +++ b/data/questions/d6/19/8d9acbbaf106.json @@ -0,0 +1 @@ +{"content":"Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort.\n \n[[☃ image 1]]\n\n**How much space is inside the fort?** \n*Give an exact answer (do not round).*\n\n[[☃ numeric-input 1]] $\\text{m}^3$","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"Two rectangles that share a common side. The larger rectangle is labeled with length equals 1 meter and width equals 0.75 meters. The smaller rectangle is labeled with length equals 0.5 meters and width equals 0.5 meters.","backgroundImage":{"height":169,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93561403499bb1a5d58b4bfaa4532daa6e3d14ba","width":280},"box":[280,169],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/32/4996ed13421c.json b/data/questions/d6/32/4996ed13421c.json new file mode 100644 index 0000000000..664c1d27da --- /dev/null +++ b/data/questions/d6/32/4996ed13421c.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with side lengths $5$, $6$, and $5$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[9.328175755133499,5.084877490321435],[6.233235610657484,9.011879591429963],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/5b/37d5b575abf5.json b/data/questions/d6/5b/37d5b575abf5.json new file mode 100644 index 0000000000..80a768382e --- /dev/null +++ b/data/questions/d6/5b/37d5b575abf5.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -3-6x$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,-3],[1,-9]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/64/019aa23d0e40.json b/data/questions/d6/64/019aa23d0e40.json new file mode 100644 index 0000000000..aa5eb2d670 --- /dev/null +++ b/data/questions/d6/64/019aa23d0e40.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-7,-4)$ and has a slope of $-\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-7,-4],[-4,-6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/7c/46c483760be3.json b/data/questions/d6/7c/46c483760be3.json new file mode 100644 index 0000000000..b810af7e6e --- /dev/null +++ b/data/questions/d6/7c/46c483760be3.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $PONY$ is rotated $180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3aca0ff794b24ec83d27fd8c58b389ba09f6916f","width":425},"correct":{"coords":[[2,-7],[5,-6],[6,-3],[2,-3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/80/6d237271b7b8.json b/data/questions/d6/80/6d237271b7b8.json new file mode 100644 index 0000000000..c8dd0fac34 --- /dev/null +++ b/data/questions/d6/80/6d237271b7b8.json @@ -0,0 +1 @@ +{"content":"**Graph $y=5\\sin\\left(\\dfrac{\\pi}{2}x\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-4],[1,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/84/cfa7757f0a76.json b/data/questions/d6/84/cfa7757f0a76.json new file mode 100644 index 0000000000..b5d48f6f58 --- /dev/null +++ b/data/questions/d6/84/cfa7757f0a76.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $8$, $15$, and $17$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.329896834046583,4.941176470588228],[3.3298968224860417,19.941176464422607],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/91/daeda70bb0b4.json b/data/questions/d6/91/daeda70bb0b4.json new file mode 100644 index 0000000000..d84a581130 --- /dev/null +++ b/data/questions/d6/91/daeda70bb0b4.json @@ -0,0 +1 @@ +{"content":"crwdns6546885:0crwdne6546885:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,6],[7,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/9b/3d16f29529f2.json b/data/questions/d6/9b/3d16f29529f2.json new file mode 100644 index 0000000000..e035f98fba --- /dev/null +++ b/data/questions/d6/9b/3d16f29529f2.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+5)^2+(y+2)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,-2],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/a6/eb46fac21228.json b/data/questions/d6/a6/eb46fac21228.json new file mode 100644 index 0000000000..6bb91a02ac --- /dev/null +++ b/data/questions/d6/a6/eb46fac21228.json @@ -0,0 +1 @@ +{"content":"[Q1] Graph the equation $y=x+1$.\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,1],[1,2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/c9/5b1bfad2fc00.json b/data/questions/d6/c9/5b1bfad2fc00.json new file mode 100644 index 0000000000..699dbcc78c --- /dev/null +++ b/data/questions/d6/c9/5b1bfad2fc00.json @@ -0,0 +1 @@ +{"content":"crwdns3077837:0$d$crwdnd3077837:0$t$crwdnd3077837:0$3$crwdnd3077837:0$t$crwdnd3077837:0$4$crwdnd3077837:0$d$crwdnd3077837:0$d$crwdnd3077837:0$t$crwdnd3077837:0$1$crwdnd3077837:0$t$crwdnd3077837:0$d$crwdne3077837:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.3333333333333333"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"1","height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[3,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns3882320:0crwdne3882320:0","crwdns3882319:0crwdne3882319:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/cf/472a7bbd5eb8.json b/data/questions/d6/cf/472a7bbd5eb8.json new file mode 100644 index 0000000000..0ae9b982b9 --- /dev/null +++ b/data/questions/d6/cf/472a7bbd5eb8.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large 7+3i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[7,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/d3/c8df3d7fa082.json b/data/questions/d6/d3/c8df3d7fa082.json new file mode 100644 index 0000000000..d400167726 --- /dev/null +++ b/data/questions/d6/d3/c8df3d7fa082.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=5x^3-5x^2-10x$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[-1,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/df/35477805b4d4.json b/data/questions/d6/df/35477805b4d4.json new file mode 100644 index 0000000000..b501318065 --- /dev/null +++ b/data/questions/d6/df/35477805b4d4.json @@ -0,0 +1 @@ +{"content":"Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $10\\text{ m}$ and height $15\\text{ m}$.\n\n**Draw the garden such that $1$ unit on the grid below represents $ 2\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[11,6],[6,13.5],[6,6]],"match":"congruent","numSides":3,"showSides":true,"type":"polygon"},"graph":{"numSides":3,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/e1/550e6f1770a9.json b/data/questions/d6/e1/550e6f1770a9.json new file mode 100644 index 0000000000..e34fa6ba4e --- /dev/null +++ b/data/questions/d6/e1/550e6f1770a9.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-5\\cos\\left(\\dfrac{\\pi}{16}x\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[8,-4],[0,-9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":null,"width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/e6/62bdbaa4404f.json b/data/questions/d6/e6/62bdbaa4404f.json new file mode 100644 index 0000000000..ec174fa51d --- /dev/null +++ b/data/questions/d6/e6/62bdbaa4404f.json @@ -0,0 +1 @@ +{"content":"**Draw a rectangle with an area of $1050$ square units and a side with end points at $(0,0)$ and $(35,0)$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[35,0],[35,30],[0,30],[0,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,50],[-1,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/e6/6dc9b187ef34.json b/data/questions/d6/e6/6dc9b187ef34.json new file mode 100644 index 0000000000..c2b05bf771 --- /dev/null +++ b/data/questions/d6/e6/6dc9b187ef34.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$3$|$6$|$9$|$12$\n$y$|$0$|$0.6$|$1.2$|$1.8$|$2.4$\n\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"type":"input-number","alignment":"default","static":false,"graded":true,"options":{"value":0.2,"simplify":"required","size":"normal","inexact":false,"maxError":0.1,"answerType":"number","rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,0],[5,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d6/e7/d88396613579.json b/data/questions/d6/e7/d88396613579.json new file mode 100644 index 0000000000..1e5a3c14e9 --- /dev/null +++ b/data/questions/d6/e7/d88396613579.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $READ$ is rotated $-90^\\circ$ about the point $(-3,-6)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 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dilation whose center is $P$ and scale factor is $3$.** \n \n[[☃ interactive-graph 1]]\n \n**Choose the correct description for the image of $\\overleftrightarrow{AB}$.** \n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/f7c8bb7d5da0e02168b0d471306d315284d8f3cd.png","width":425},"correct":{"coords":[[-1,3],[-1,-3]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The image is the same line as $\\overleftrightarrow{AB}$.","correct":false},{"content":"The image is a line different from $\\overleftrightarrow{AB}$ but parallel to it.","correct":true},{"content":"The image is a line perpendicular to $\\overleftrightarrow{AB}$.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/3b/eb5d7cf229d3.json b/data/questions/d7/3b/eb5d7cf229d3.json new file mode 100644 index 0000000000..2083dfddd3 --- /dev/null +++ b/data/questions/d7/3b/eb5d7cf229d3.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8b14a279492d3a52d386c69dd73110180cabc2d2","width":400},"correct":{"coords":[[[0,1],[-1,-2]],[[5,1],[-1,-2]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/43/be3d07cad8ae.json b/data/questions/d7/43/be3d07cad8ae.json new file mode 100644 index 0000000000..85191e344c --- /dev/null +++ b/data/questions/d7/43/be3d07cad8ae.json @@ -0,0 +1 @@ +{"content":"At Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | ||\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[8,5],[16,8],[24,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"markings":"graph","range":[[-2,25],[-1,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d7/4f/65dfaca9ca90.json b/data/questions/d7/4f/65dfaca9ca90.json new file mode 100644 index 0000000000..dd470f028f --- /dev/null +++ b/data/questions/d7/4f/65dfaca9ca90.json @@ -0,0 +1 @@ +{"content":"crwdns4070492:0$ycrwdnd4070492:0{2}crwdnd4070492:0{3}crwdne4070492:0","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,-6],[-7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/61/888040d460ce.json b/data/questions/d7/61/888040d460ce.json new file mode 100644 index 0000000000..260a560730 --- /dev/null +++ b/data/questions/d7/61/888040d460ce.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-7, 1)$ and $(-7, -5)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-7,-5],[-7,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-6}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/65/20222dc4aa2a.json b/data/questions/d7/65/20222dc4aa2a.json new file mode 100644 index 0000000000..75f09ae5d9 --- /dev/null +++ b/data/questions/d7/65/20222dc4aa2a.json @@ -0,0 +1 @@ +{"content":"Mary is a scientist. Using a microscope, she looks at a salt crystal and discovers it is shaped like a cube. Each square face has side length $0.1\\text{ mm}$.\n\n**Draw the crystal's square face such that $1$ unit on the grid below represents $ 0.01\\text{ mm}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[5,-6.5],[5,3.5],[-5,3.5],[-5,-6.5]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/78/420a1db08c6c.json b/data/questions/d7/78/420a1db08c6c.json new file mode 100644 index 0000000000..89ce76852a --- /dev/null +++ b/data/questions/d7/78/420a1db08c6c.json @@ -0,0 +1 @@ +{"content":"Tyler collected data on his $5$ pets. The points show the age and mass of $4$ of his pets. His fifth pet, Buddy, has a mass of $12 \\text { kg}$ and is $8$ years old.\n\n**Plot Buddy's mass and age on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which of Tyler's pets is the oldest?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d7b6afd9deefb286578725fdbb18a39ae3a17ac","width":400},"correct":{"coords":[[12,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ḟĺľóòṕṗśŝý","correct":false},{"content":"ḾṀíìťțťțéèńňśŝ","correct":false},{"content":"ĆĈĥȟáàńňćĉéè","correct":true},{"content":"ɃḂúùďđďđý","correct":false},{"content":"ŚŜṕṗóòťț"}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d7/7e/19d07b496b1d.json b/data/questions/d7/7e/19d07b496b1d.json new file mode 100644 index 0000000000..f08125df04 --- /dev/null +++ b/data/questions/d7/7e/19d07b496b1d.json @@ -0,0 +1 @@ +{"content":"Graph the following system of inequalities:\n\n$\\qquad y\\leq -2x+5$\n\n$\\qquad y < -2x-1$\n\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side buttons for both inequalities* \n\n*Solid/dashed line buttons for both inequalities*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(4,-6)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1],[0,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"Be careful to shade the correct sides!","content":"Yes","correct":false},{"content":"No","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d7/8c/eda5ed739ed4.json b/data/questions/d7/8c/eda5ed739ed4.json new file mode 100644 index 0000000000..b4ce15b54b --- /dev/null +++ b/data/questions/d7/8c/eda5ed739ed4.json @@ -0,0 +1 @@ +{"content":"crwdns3415425:0crwdne3415425:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.538737563125787,2.7098296192522313],[5.082901227686044,9.463379541711511],[2.6230827941030186,2.711278984446311]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/96/938e3b86c2d7.json b/data/questions/d7/96/938e3b86c2d7.json new file mode 100644 index 0000000000..61983bf265 --- /dev/null +++ b/data/questions/d7/96/938e3b86c2d7.json @@ -0,0 +1 @@ +{"content":"**Construct a $120^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[5.101601255800863,-0.1637674249957186],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/a9/9349e4448ac7.json b/data/questions/d7/a9/9349e4448ac7.json new file mode 100644 index 0000000000..e8f44845b1 --- /dev/null +++ b/data/questions/d7/a9/9349e4448ac7.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-1, 4)$, and the upper-right coordinates are $(3, 4)$. The rectangle has a perimeter of $24$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,-4],[3,4],[-1,4],[-1,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/ad/7313cc036819.json b/data/questions/d7/ad/7313cc036819.json new file mode 100644 index 0000000000..5bbbb2bd53 --- /dev/null +++ b/data/questions/d7/ad/7313cc036819.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local disc golf course is shown below. The tee on the first hole is located at the point $(1,2)$. The hole is located at the point $(8,2)$.\n\n**Plot the tee and the hole on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far is the tee from the hole?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,2],[8,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/b0/06183c71a1b8.json b/data/questions/d7/b0/06183c71a1b8.json new file mode 100644 index 0000000000..a7a33299e7 --- /dev/null +++ b/data/questions/d7/b0/06183c71a1b8.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map line segment $\\overline{EF}$ onto the other line segment below.**\n\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c8f046cec6f323cc499126bb0d52a1d4864e5cae","width":425},"correct":{"coords":[[-5,5],[2,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/b0/07844305bfd3.json b/data/questions/d7/b0/07844305bfd3.json new file mode 100644 index 0000000000..52971109dc --- /dev/null +++ b/data/questions/d7/b0/07844305bfd3.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $5$ units in $t$ corresponds to an increase of $8$ units in $d$. \n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.6"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[5,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/b3/61bdb75b942b.json b/data/questions/d7/b3/61bdb75b942b.json new file mode 100644 index 0000000000..cb2ef71705 --- /dev/null +++ b/data/questions/d7/b3/61bdb75b942b.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac{2}{3}(x)(x-6)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,-6],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/b4/e2f673b23992.json b/data/questions/d7/b4/e2f673b23992.json new file mode 100644 index 0000000000..96d5ca8a61 --- /dev/null +++ b/data/questions/d7/b4/e2f673b23992.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -7$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Re}$","$\\text{Im}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[-7,0]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/c9/2dbb3046aaf4.json b/data/questions/d7/c9/2dbb3046aaf4.json new file mode 100644 index 0000000000..ddaabe80be --- /dev/null +++ b/data/questions/d7/c9/2dbb3046aaf4.json @@ -0,0 +1 @@ +{"content":"crwdns3399068:0$f$crwdnd3399068:0$a$crwdnd3399068:0$e$crwdnd3399068:0$f$crwdnd3399068:0$x$crwdnd3399068:0$a$crwdnd3399068:0$b$crwdnd3399068:0$c$crwdnd3399068:0$d$crwdnd3399068:0$e$crwdnd3399068:0$fcrwdnd3399068:0$-8$crwdnd3399068:0$-5$crwdnd3399068:0$0$crwdnd3399068:0$7$crwdnd3399068:0$0$crwdnd3399068:0$f$crwdnd3399068:0$f$crwdne3399068:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe70160792319482e4ccad557ff64244ece26433","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,-5]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":false},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d7/ca/24f83f4f16d2.json b/data/questions/d7/ca/24f83f4f16d2.json new file mode 100644 index 0000000000..342e83f09f --- /dev/null +++ b/data/questions/d7/ca/24f83f4f16d2.json @@ -0,0 +1 @@ +{"content":"**Use the line segments to connect all possible pairs of the points $\\text{A}$, $\\text{B}$, $\\text{C}$, and $\\text{D}$. Then complete the statement below. **\n\n[[☃ interactive-graph 1]]\n \nThese are line segments because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].\n \n ","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/3e234a6d2f03b3543d78027d53cb15f5bb4bbf55.png","width":400},"correct":{"coords":[[[0,6],[6,-6]],[[0,6],[-6,-6]],[[0,6],[0,-1]],[[-6,-6],[0,-1]],[[0,-1],[6,-6]],[[-6,-6],[6,-6]]],"numSegments":6,"type":"segment"},"graph":{"numSegments":6,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d7/f3/e2de5fcda818.json b/data/questions/d7/f3/e2de5fcda818.json new file mode 100644 index 0000000000..a9920a006a --- /dev/null +++ b/data/questions/d7/f3/e2de5fcda818.json @@ -0,0 +1 @@ +{"content":"[Q1] Consider the following trigonometric function:\n\n$\\qquad f(x)=3\\cos(2x+6\\pi)+4$\n\n**Graph $f(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-5.5,4],[-6,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/09/a2be02bf4ea1.json b/data/questions/d8/09/a2be02bf4ea1.json new file mode 100644 index 0000000000..2a341dda8c --- /dev/null +++ b/data/questions/d8/09/a2be02bf4ea1.json @@ -0,0 +1 @@ +{"content":"Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room's temperature decreased by $0.5^\\circ$ Celsius each minute, and Quinn woke up $60$ minutes later when it was $10^\\circ$ Celsius.\n\n**Graph the relationship between the room's temperature (in degrees Celsius) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[50,15],[60,10]],"asymptote":null},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-5,70],[-5,50]],"labels":["",""],"step":[10,5],"gridStep":[5,5],"snapStep":[5,5],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/763b155f158ad1e8b501e257bf2e874ce776d172","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/34/039e760ab783.json b/data/questions/d8/34/039e760ab783.json new file mode 100644 index 0000000000..db855a085a --- /dev/null +++ b/data/questions/d8/34/039e760ab783.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{1}{3}(x +2)(x +8)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,3],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/3d/9f0f0c1b4003.json b/data/questions/d8/3d/9f0f0c1b4003.json new file mode 100644 index 0000000000..ce93277e5f --- /dev/null +++ b/data/questions/d8/3d/9f0f0c1b4003.json @@ -0,0 +1 @@ +{"content":"**Construct a $110^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/36556ac30ed00e053410c3a75f6c42314f4f348c.png":{"height":320,"width":378},"https://ka-perseus-images.s3.amazonaws.com/e06103f19a0a4526495cf02ee2c4216c91c57f78.png":{"height":163,"width":265}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[3.4209731939959758,0.39904660306349626],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/3f/26a26a55b718.json b/data/questions/d8/3f/26a26a55b718.json new file mode 100644 index 0000000000..a54e374fab --- /dev/null +++ b/data/questions/d8/3f/26a26a55b718.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x -6,y -7)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/98ba2b12f41548864f06d7baf26135a882752fa4","width":425},"correct":{"coords":[[1,-7],[-2,-3],[-4,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/42/b4d7fbe45b03.json b/data/questions/d8/42/b4d7fbe45b03.json new file mode 100644 index 0000000000..79ab5a0b27 --- /dev/null +++ b/data/questions/d8/42/b4d7fbe45b03.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक चतुर्भुज बनाएँ जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−4,9), (-8, 9), (−9,7), (−9,4)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-4,9],[-8,9],[-9,7],[-9,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/63/89d48480030c.json b/data/questions/d8/63/89d48480030c.json new file mode 100644 index 0000000000..2bed71e3bc --- /dev/null +++ b/data/questions/d8/63/89d48480030c.json @@ -0,0 +1 @@ +{"content":"crwdns6347449:0$xcrwdne6347449:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[6,5],[6,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/64/b44d56ffb4ff.json b/data/questions/d8/64/b44d56ffb4ff.json new file mode 100644 index 0000000000..dbbced7ea5 --- /dev/null +++ b/data/questions/d8/64/b44d56ffb4ff.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-5,-6)$ and has a slope of $\\dfrac23$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-5,-6],[-2,-4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/69/9d8a1cb5d0e4.json b/data/questions/d8/69/9d8a1cb5d0e4.json new file mode 100644 index 0000000000..7338b2093c --- /dev/null +++ b/data/questions/d8/69/9d8a1cb5d0e4.json @@ -0,0 +1 @@ +{"content":"Sarah is transferring the drawing below of a triangular roof to a coordinate plane. She plots point $A$ at $(-6, 3)$ and point $B$ at $(-1, 6)$. The length of the base of the roof is $9$ units in length.\n\n**Plot points $A, B,$ and $C$.**\n\n![](https://ka-perseus-graphie.s3.amazonaws.com/22ea0963f6d6d445dc4b7bba2f81694f01bc9003.png) \n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/22ea0963f6d6d445dc4b7bba2f81694f01bc9003.png":{"height":400,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,3],[-1,6],[3,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/7f/ad7e21e83b45.json b/data/questions/d8/7f/ad7e21e83b45.json new file mode 100644 index 0000000000..9f70a22081 --- /dev/null +++ b/data/questions/d8/7f/ad7e21e83b45.json @@ -0,0 +1 @@ +{"content":"**Graph $x=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[4,4],[4,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/80/238b8050ad81.json b/data/questions/d8/80/238b8050ad81.json new file mode 100644 index 0000000000..fc0781a0c9 --- /dev/null +++ b/data/questions/d8/80/238b8050ad81.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक पंचभुज बनाएँ जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−7.5, 0), (0,6.5), (5.5, 5.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5.5,5.5],[6.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/8b/58f1d3dd90db.json b/data/questions/d8/8b/58f1d3dd90db.json new file mode 100644 index 0000000000..1c33acd91a --- /dev/null +++ b/data/questions/d8/8b/58f1d3dd90db.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-3(x-1)^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,1],[0,-2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/93/ec3d65d4705e.json b/data/questions/d8/93/ec3d65d4705e.json new file mode 100644 index 0000000000..e35be2d1a1 --- /dev/null +++ b/data/questions/d8/93/ec3d65d4705e.json @@ -0,0 +1 @@ +{"content":"crwdns3462898:0$gcrwdnd3462898:0{1}crwdnd3462898:0{3}crwdne3462898:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[6,1],[3,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/97/d9d981467454.json b/data/questions/d8/97/d9d981467454.json new file mode 100644 index 0000000000..363222c1ec --- /dev/null +++ b/data/questions/d8/97/d9d981467454.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-\\dfrac{11}6$, $-1$, and $-\\dfrac23$.**\n\n[[☃ radio 1]]","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0965915ff9e5362174b94ad42f6847ba4df8e3eb)\n","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/3f1b05ca0a027f84f7e48b7e8e1089cfab7d834a)","correct":true},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/3e25972480b1af617b8981ff9eb6e4933974d7cb)","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/a5/bab54b1fc34f.json b/data/questions/d8/a5/bab54b1fc34f.json new file mode 100644 index 0000000000..0b7be12e34 --- /dev/null +++ b/data/questions/d8/a5/bab54b1fc34f.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $3$ units from Point $\\blueD{C}$ and also share the same $y$-coordinate as Point $\\blueD{C}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/817db13a516f76991ef21cf2b258c9778fdaab6c","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[-3,-5],[-9,-5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/a7/ef1cdc21e3ce.json b/data/questions/d8/a7/ef1cdc21e3ce.json new file mode 100644 index 0000000000..a507af1ccf --- /dev/null +++ b/data/questions/d8/a7/ef1cdc21e3ce.json @@ -0,0 +1 @@ +{"content":"** Which of the following is a solution to the equation below?**\n \n $\\qquad 5|x - 7| + 4 = -2|x - 7| + 10 $\n\n[[☃ radio 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":0},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":false},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"□□□ □□□□□ □□□□ □□□□ □ □□□□ □□□□□.","content":"$-\\dfrac{55}{7}$","correct":false},{"clue":"□□□□□ □□□□ □□□□□.","content":"$-\\dfrac{43}{7}$","correct":false},{"content":" $\\dfrac{43}{7}$","correct":true},{"clue":"□□□□□ □□□□ □□□□□□□□□□□□ □□□□□. □□□□□ □□□ □□□□□□□□□!","content":"□□□□□ □□□ □□ □□□□□□□□□.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/b5/52d77c293ada.json b/data/questions/d8/b5/52d77c293ada.json new file mode 100644 index 0000000000..44408698cb --- /dev/null +++ b/data/questions/d8/b5/52d77c293ada.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(0,-3)$ and has a radius of $6$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/c5/caac4851afd4.json b/data/questions/d8/c5/caac4851afd4.json new file mode 100644 index 0000000000..6a712648f1 --- /dev/null +++ b/data/questions/d8/c5/caac4851afd4.json @@ -0,0 +1 @@ +{"content":"Under which of the following conditions would one expect ATP hydrolysis to be non-spontaneous?\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"No enzymes available to lower activation energy","correct":false},{"content":"A very basic environment (high concentration of proton acceptors)","correct":false},{"content":"A temperature slightly below $37^\\circ\\text{C}$","correct":false,"isNoneOfTheAbove":false},{"content":"ATP concentrations very far below equilibrium concentration, and ADP concentrations very far above equilibrium concentration","correct":true,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d8/c8/99e0a50733a5.json b/data/questions/d8/c8/99e0a50733a5.json new file mode 100644 index 0000000000..a829355acf --- /dev/null +++ b/data/questions/d8/c8/99e0a50733a5.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $ABCD$ undergoes the following transformations in order: \n\n1. A reflection over the line $x = 2$. \n2. A translation 2 units up and 1 unit to the right.\n\n[[☃ interactive-graph 1]]\n\nAfter the reflection, point C is in [[☃ dropdown 1]].\n\nAfter the reflection and translation, point C is in [[☃ dropdown 2]]\n","widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Quadrant I","correct":false},{"content":"Quadrant II","correct":false},{"content":"Quadrant III","correct":false},{"content":"Quadrant IV","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Quadrant I","correct":true},{"content":"Quadrant 2","correct":false},{"content":"Quadrant 3","correct":false},{"content":"Quadrant 4","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"box":[288,288],"correct":{"coords":[[-1,-1],[-1,2],[-5,0],[-5,-3]],"hasBeenInteractedWith":true,"numSides":4,"range":[[-8,12],[-10,10]],"showAngles":false,"showSides":false,"snapStep":[0.5,0.5],"snapTo":"grid","type":"polygon"},"graph":{"coords":null,"hasBeenInteractedWith":false,"numSides":4,"range":[[-8,12],[-10,10]],"showAngles":false,"showSides":false,"snapStep":[0.5,0.5],"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"red","kind":"line","lineStyle":"dashed","points":[{"color":"red","coord":[2,0],"filled":true,"type":"point"},{"color":"red","coord":[2,2],"filled":false,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"blue","fillStyle":"none","points":[[-5,0],[-1,2],[-1,-1],[-5,-3]],"showVertices":false,"strokeStyle":"solid","type":"polygon"}],"markings":"graph","range":[[-8,12],[-10,10]],"showProtractor":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":true,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,-1]],"hasBeenInteractedWith":true,"numPoints":0,"range":[[-8,12],[-10,10]],"snapStep":[0.5,0.5],"type":"point"},"graph":{"numPoints":0,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"red","kind":"line","lineStyle":"dashed","points":[{"color":"red","coord":[2,0],"filled":true,"type":"point"},{"color":"red","coord":[2,2],"filled":false,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"blue","fillStyle":"none","points":[[-5,0],[-1,2],[-1,-1],[-5,-3]],"showVertices":false,"strokeStyle":"solid","type":"polygon"}],"markings":"graph","range":[[-8,12],[-10,10]],"showProtractor":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":true,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/d1/d2d05a907d1f.json b/data/questions/d8/d1/d2d05a907d1f.json new file mode 100644 index 0000000000..a05a25425e --- /dev/null +++ b/data/questions/d8/d1/d2d05a907d1f.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y-8)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[1,8],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/d2/5d32ff7db41a.json b/data/questions/d8/d2/5d32ff7db41a.json new file mode 100644 index 0000000000..e1ff0591c3 --- /dev/null +++ b/data/questions/d8/d2/5d32ff7db41a.json @@ -0,0 +1 @@ +{"content":"crwdns3362752:0$ycrwdnd3362752:0$ycrwdnd3362752:0$fcrwdne3362752:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5d7ee7fa3e5049cb0c0c6ca81b47f7c22e18e02c","width":400},"correct":{"coords":[[2,0],[5,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/e4/ecefa7286967.json b/data/questions/d8/e4/ecefa7286967.json new file mode 100644 index 0000000000..8c1214b917 --- /dev/null +++ b/data/questions/d8/e4/ecefa7286967.json @@ -0,0 +1 @@ +{"content":"Graph the following system of inequalities:\n\n$\\qquad y \\leq 2x+1$\n\n$\\qquad 8x-2y<10$\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side buttons for both inequalities* \n\n*Solid/dashed line buttons for both inequalities*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(-2,-7)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad0f7256ed5de7e66b30b1b2d45038634abbcdb2":{"height":425,"width":425}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1],[0,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"clue":"Be careful to shade the correct sides!","content":"No","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d8/f1/890b4327076c.json b/data/questions/d8/f1/890b4327076c.json new file mode 100644 index 0000000000..399f514fc6 --- /dev/null +++ b/data/questions/d8/f1/890b4327076c.json @@ -0,0 +1 @@ +{"content":"**Graph a parabola whose vertex is at $(3,5)$ with $y$-intercept at $y=1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,5],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d8/fa/39f4a5f83423.json b/data/questions/d8/fa/39f4a5f83423.json new file mode 100644 index 0000000000..3e492dfcec --- /dev/null +++ b/data/questions/d8/fa/39f4a5f83423.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the final point after reflecting point $A$ across the $x$-axis and then across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/322d32857bc0796c0f54a12d973b3f2218c12894","width":400},"correct":{"coords":[[-7,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/0a/de5075c6882e.json b/data/questions/d9/0a/de5075c6882e.json new file mode 100644 index 0000000000..d3614dc6f8 --- /dev/null +++ b/data/questions/d9/0a/de5075c6882e.json @@ -0,0 +1 @@ +{"content":"crwdns3209052:0$HERON$crwdnd3209052:0$ycrwdne3209052:0","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/75cec63a76fe08d8e534f50243e489c1705fd46d.png","width":425},"correct":{"coords":[[-5,-1],[-7,-3],[-3,-5],[2,-2],[1,0]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d9/0d/66252e021c96.json b/data/questions/d9/0d/66252e021c96.json new file mode 100644 index 0000000000..280d4edbfb --- /dev/null +++ b/data/questions/d9/0d/66252e021c96.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{2}$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b1ec3841d8d7aba903cf7c9ba9b0d4fabfc8633","width":400},"correct":{"coords":[[0,0],[-2,2],[-6,1]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/0e/a8c96fddcd54.json b/data/questions/d9/0e/a8c96fddcd54.json new file mode 100644 index 0000000000..af58a30ece --- /dev/null +++ b/data/questions/d9/0e/a8c96fddcd54.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (5, 5.5), (6.5, 0), (0, -4.5), (−5, -3.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5,5.5],[6.5,0],[0,-4.5],[-5,-3.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/d9/16/e0688df4dc26.json b/data/questions/d9/16/e0688df4dc26.json new file mode 100644 index 0000000000..5435594d71 --- /dev/null +++ b/data/questions/d9/16/e0688df4dc26.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $4$ that contains the point $(3,0)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[3,0],[4,4]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/17/0202848e1322.json b/data/questions/d9/17/0202848e1322.json new file mode 100644 index 0000000000..7ec68ab9ec --- /dev/null +++ b/data/questions/d9/17/0202848e1322.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए रेखाखंडों का प्रयोग करके एक ऐसा त्रिभुज बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(-8,-5), (−2,1), (−3,6)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,-5],[-2,1],[-3,6]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/21/4b256c7b6e3a.json b/data/questions/d9/21/4b256c7b6e3a.json new file mode 100644 index 0000000000..955c37fc8e --- /dev/null +++ b/data/questions/d9/21/4b256c7b6e3a.json @@ -0,0 +1 @@ +{"content":"crwdns6498787:0$A$crwdnd6498787:0$x$crwdnd6498787:0$y$crwdne6498787:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/334b4f7715f9228f3c099cbd63fbe51648455e4e","width":400},"correct":{"coords":[[9,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/21/ba6e3f54b897.json b/data/questions/d9/21/ba6e3f54b897.json new file mode 100644 index 0000000000..7516e6b31f --- /dev/null +++ b/data/questions/d9/21/ba6e3f54b897.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-4\\log_2(x-5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[5,-10],[5,10]],"coords":[[7,-4],[6,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/23/1539f4667a77.json b/data/questions/d9/23/1539f4667a77.json new file mode 100644 index 0000000000..7967d41d9e --- /dev/null +++ b/data/questions/d9/23/1539f4667a77.json @@ -0,0 +1 @@ +{"content":"Consider the following equation:\n\n$\\quad y=\\dfrac{7}{2}x$ \n \n \n**Fill in the table with the missing values.** \n \n$x$ | $y$\n:-: | :-:\n$2$ | [[☃ input-number 1]]\n$4$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between $x$ and $y$ proportional?** \n\n\n[[☃ radio 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":14},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,7],[4,14]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,15],[-1,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/26/afb529a99212.json b/data/questions/d9/26/afb529a99212.json new file mode 100644 index 0000000000..4b7491d4b1 --- /dev/null +++ b/data/questions/d9/26/afb529a99212.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $2$, Rule: add $3$\n\nPattern $y$: Starting number: $2$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$2$ | $2$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,2],[5,5],[8,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/32/431dffe539a4.json b/data/questions/d9/32/431dffe539a4.json new file mode 100644 index 0000000000..aba804dfd8 --- /dev/null +++ b/data/questions/d9/32/431dffe539a4.json @@ -0,0 +1 @@ +{"content":"crwdns3027428:0crwdne3027428:0","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":10},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[10,3],[10,7],[10,11]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/58/fda572d32ccf.json b/data/questions/d9/58/fda572d32ccf.json new file mode 100644 index 0000000000..dbb5888029 --- /dev/null +++ b/data/questions/d9/58/fda572d32ccf.json @@ -0,0 +1 @@ +{"content":"crwdns3077940:0{ m}crwdnd3077940:0{ m}crwdne3077940:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/5e/68d84a875857.json b/data/questions/d9/5e/68d84a875857.json new file mode 100644 index 0000000000..f34a821ad8 --- /dev/null +++ b/data/questions/d9/5e/68d84a875857.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f\\left(\\dfrac{1}{3}x \\right)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"up","correct":false},{"content":"down","correct":true}],"placeholder":"up/down","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"right","correct":true},{"content":"left","correct":false}],"placeholder":"right/left","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-9,-3],[9,3]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":false,"showPoint2":false,"type":"line"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"},{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of vertical shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"magnitude of horizontal shift","rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3fe0d3c25e57958706229ac278cfba8bd4e187b)","correct":true},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (6, 1).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/2abd08af527281f2aba8de4f4cc3079bb40949b0)","correct":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled g passes through the points (0, 0) and (2, 2). The line labeled f passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0ae1da54800f0a6bc83b2f181a3b00cf9538c5b4)","correct":false,"isNoneOfTheAbove":false},{"content":"![A coordinate plane with two lines. The x- and y-axes both scale by two. The line labeled f passes through the points (0, 0) and (2, 2). The line labeled g passes through the points (0, 0) and (1, 6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/22100023b0d9ef863a2e1abaa4e11b8152e6862d)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d9/67/946cc11ca760.json b/data/questions/d9/67/946cc11ca760.json new file mode 100644 index 0000000000..dd2d429c08 --- /dev/null +++ b/data/questions/d9/67/946cc11ca760.json @@ -0,0 +1 @@ +{"content":"A quadratic function $f$ has two real solutions, $x=-6$ and $x=8$, that make $f(x)=0$.\n\n**Select the equations that could define $f$ in standard form.**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"buttonSets":["basic"],"buttonsVisible":"focused","considered":"correct","form":true,"functions":["f","g","h"],"key":0,"linterContext":{"contentType":"","highlightLint":false,"paths":[],"stack":[]},"simplify":false,"times":false,"value":"-2x^{2}-2x+40"}],"buttonSets":["basic"],"functions":["f","g","h"],"static":false,"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 8 to 8. The quadratic function is concave up, has x intercepts at (negative 4, 0) and (2, 0), and an f of x intercept at (0, -4).","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54f1504dc9a3d4345177669b462ddf3081f5a0f5","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"type":"quadratic"},"graph":{"type":"quadratic"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f(x)=3x^{2}-6x-144$","correct":true},{"content":"$f(x)=-3x^{2}+6x+144$","correct":true},{"content":"$f(x)=3x^{2}+6x-144$","correct":false},{"content":"$f(x)=-3x^{2}-6x+144$","correct":false}],"countChoices":true,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/d9/6c/b3b93960ce91.json b/data/questions/d9/6c/b3b93960ce91.json new file mode 100644 index 0000000000..3a69339f25 --- /dev/null +++ b/data/questions/d9/6c/b3b93960ce91.json @@ -0,0 +1 @@ +{"content":"Ron borrowed $\\$200$ from his friend and promised to return the money by paying back $\\$20$ each week. Assume $x$ represents the time in weeks, and $y$ represents the amount of money left to pay.\n\n**Draw the graph of $y$ as a function of $x$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,200],[10,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-1,11],[-20,220]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,20]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/70/40fec7b7c864.json b/data/questions/d9/70/40fec7b7c864.json new file mode 100644 index 0000000000..58082d7dec --- /dev/null +++ b/data/questions/d9/70/40fec7b7c864.json @@ -0,0 +1 @@ +{"content":"The climbing center wants to build a new gym halfway between the towns of Southville and Northville. Northville is located at $(6,10)$ on the map below. Southville is located at $(6,2)$. \n\n**Plot Northville, Southville, and the new gym on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the climbing center build its new gym?** \n $($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,12],[-1,12]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[6,2],[6,10],[6,6]]}},"version":{"major":0,"minor":0}},"input-number 1":{"type":"input-number","alignment":"default","static":false,"graded":true,"options":{"value":6,"simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number","rightAlign":false},"version":{"major":0,"minor":0}},"input-number 2":{"type":"input-number","alignment":"default","static":false,"graded":true,"options":{"value":6,"simplify":"required","size":"small","inexact":false,"maxError":0.1,"answerType":"number","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/72/a7e368d8dd4a.json b/data/questions/d9/72/a7e368d8dd4a.json new file mode 100644 index 0000000000..a5549204e3 --- /dev/null +++ b/data/questions/d9/72/a7e368d8dd4a.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/644f019558e05465669728576c1033e53f6aa4d5)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/644f019558e05465669728576c1033e53f6aa4d5":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$1$","$\\dfrac56$","$-\\dfrac13$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/85/1bef59384a04.json b/data/questions/d9/85/1bef59384a04.json new file mode 100644 index 0000000000..b6e5951e05 --- /dev/null +++ b/data/questions/d9/85/1bef59384a04.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $10$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,-2],[1,3],[-1,3],[-1,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/a6/00665e176955.json b/data/questions/d9/a6/00665e176955.json new file mode 100644 index 0000000000..85c6ef2bf7 --- /dev/null +++ b/data/questions/d9/a6/00665e176955.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{3}{4}x-2\n\\\\\\\\\ny=-\\dfrac{5}{2}x+5\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,5],[-2,0]],[[4,1],[0,-2]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-5}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/a9/76eac16c2894.json b/data/questions/d9/a9/76eac16c2894.json new file mode 100644 index 0000000000..33edf6191c --- /dev/null +++ b/data/questions/d9/a9/76eac16c2894.json @@ -0,0 +1 @@ +{"content":"**Graph $y = -7+4x$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,-7],[1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/c6/cd87874ad0d9.json b/data/questions/d9/c6/cd87874ad0d9.json new file mode 100644 index 0000000000..2af40b1ae1 --- /dev/null +++ b/data/questions/d9/c6/cd87874ad0d9.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d285c1870f0fbdea9bc75096c628b3992ad821e","width":430},"correct":{"coords":[[7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/d1/58db832b6b96.json b/data/questions/d9/d1/58db832b6b96.json new file mode 100644 index 0000000000..e12ed5e0e8 --- /dev/null +++ b/data/questions/d9/d1/58db832b6b96.json @@ -0,0 +1 @@ +{"content":"crwdns3362755:0$ycrwdnd3362755:0$ycrwdnd3362755:0$fcrwdne3362755:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f7eacecb7905e5db272bd3f2b92bc417e43b42ca","width":400},"correct":{"coords":[[1,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/d2/c594ca1d2d03.json b/data/questions/d9/d2/c594ca1d2d03.json new file mode 100644 index 0000000000..b9a68bab19 --- /dev/null +++ b/data/questions/d9/d2/c594ca1d2d03.json @@ -0,0 +1 @@ +{"content":"crwdns3458200:0crwdne3458200:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/ed/6e7aa264d701.json b/data/questions/d9/ed/6e7aa264d701.json new file mode 100644 index 0000000000..e9310a6380 --- /dev/null +++ b/data/questions/d9/ed/6e7aa264d701.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $8$ units from Point $\\blueD{B}$ and also share the same $x$-coordinate as Point $\\blueD{B}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599aec9a5d9eab38ac41baeb5eff98c7997877e4","width":425},"correct":{"coords":[[-6,-8],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/d9/f8/031acb3a39f3.json b/data/questions/d9/f8/031acb3a39f3.json new file mode 100644 index 0000000000..b106559a7b --- /dev/null +++ b/data/questions/d9/f8/031acb3a39f3.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{x=-\\dfrac{y+7}{2}}$\n\n$\\qquad\\pink{12+5x=3y}$\n\n**Create a new equation by substituting $x$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=-1"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3b0630b854540f05c625a6fc399d36ce1f9c9c20.png","width":425},"correct":{"coords":[[-7,-1],[2.5,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/da/08/5bd5e3ecd0db.json b/data/questions/da/08/5bd5e3ecd0db.json new file mode 100644 index 0000000000..d2da06d1d1 --- /dev/null +++ b/data/questions/da/08/5bd5e3ecd0db.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\sin\\left(\\dfrac{1}{2}x\\right)+8$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[0,8],[2,9]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/da/0c/0cb57be90685.json b/data/questions/da/0c/0cb57be90685.json new file mode 100644 index 0000000000..323ed17ae3 --- /dev/null +++ b/data/questions/da/0c/0cb57be90685.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f529d3caae42deda657946bd296e5d1328006e56","width":400},"correct":{"coords":[[-5.5,8.5],[3.5,5.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/da/0f/e545f50c9278.json b/data/questions/da/0f/e545f50c9278.json new file mode 100644 index 0000000000..0d70ec0302 --- /dev/null +++ b/data/questions/da/0f/e545f50c9278.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\dfrac12x^2+3x-2$ and let $g(x)=-|x+3|+4$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\dfrac12x^2+3x-2=-|x+3|+4$, where $x_1$h(x)=\\dfrac{1}{2}\\cdot\\left(\\dfrac{1}{5}\\right)^{\\large x}$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[-1,2.5],[0,0.5]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,0.5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dc/f0/b785de7b8be4.json b/data/questions/dc/f0/b785de7b8be4.json new file mode 100644 index 0000000000..e69e1168ad --- /dev/null +++ b/data/questions/dc/f0/b785de7b8be4.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $1$\n\nPattern $y$: Starting number: $9$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $9$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,9],[4,12],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dc/f5/dcbb94eeb1fb.json b/data/questions/dc/f5/dcbb94eeb1fb.json new file mode 100644 index 0000000000..0a456a0ced --- /dev/null +++ b/data/questions/dc/f5/dcbb94eeb1fb.json @@ -0,0 +1 @@ +{"content":"Scientists are sending a rover to Mars. Their plan is to study a rectangular area of Mars represented by the grid below. On the grid, $1$ unit represents $1$ kilometer $(\\text{km})$.\n\nThe rover will land at $(2.5,2)$, explore up to $(2.5,4.5)$, and then over to $(4,4.5)$. \n\n**Plot these points on the map.**\n\n**What are the coordinates of the fourth vertex of the rectangle that the scientists plan to explore?** \n$($[[☃ input-number 1]], [[☃ input-number 2]]$)$\n\n**What is the horizontal length of the rectangle?** \n[[☃ input-number 3]]\n\n**What is the vertical length of the rectangle?** \n[[☃ input-number 4]]\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2.5,2],[2.5,4.5],[4,4.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dc/f6/77b7e37ab15f.json b/data/questions/dc/f6/77b7e37ab15f.json new file mode 100644 index 0000000000..85ad6f22fd --- /dev/null +++ b/data/questions/dc/f6/77b7e37ab15f.json @@ -0,0 +1 @@ +{"content":"crwdns6544576:0crwdne6544576:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dc/ff/b33f89c80ef4.json b/data/questions/dc/ff/b33f89c80ef4.json new file mode 100644 index 0000000000..b31ff1b03b --- /dev/null +++ b/data/questions/dc/ff/b33f89c80ef4.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about point $P$ with a scale factor of $3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d6bd4dbd0c20817fe60236b21c513802403a48a1","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-2,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/18/eb6a021ea15e.json b/data/questions/dd/18/eb6a021ea15e.json new file mode 100644 index 0000000000..ca24b82a30 --- /dev/null +++ b/data/questions/dd/18/eb6a021ea15e.json @@ -0,0 +1 @@ +{"content":"You are a civil engineer. You want to create a small scale drawing of a truss section of a bridge. The truss section is an isosceles trapezoid with parallel bases $22\\text{ m}$ and $10\\text{ m}$ and height $8\\text{ m}$.\n\n*An isosceles trapezoid has $4$ sides with $2$ parallel sides and $\\,2$ nonparallel sides equal in length.*\n\n**Create a scale drawing of the truss section using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[11,0],[5,8],[-5,8],[-11,0]],"match":"similar","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/20/dd156425ffaf.json b/data/questions/dd/20/dd156425ffaf.json new file mode 100644 index 0000000000..6411bc1460 --- /dev/null +++ b/data/questions/dd/20/dd156425ffaf.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{B}$ and goes through point $\\text{A}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/140993e12589b317f7bdbd667555ef1c48b26911.png","width":400},"correct":{"coords":[[5,3],[-5,-5]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/25/18a0d5138e8e.json b/data/questions/dd/25/18a0d5138e8e.json new file mode 100644 index 0000000000..0d09390621 --- /dev/null +++ b/data/questions/dd/25/18a0d5138e8e.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f(x+7)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":true,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-2,-2],"color":"grayH","filled":true},{"type":"point","coord":[2,2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":false,"showPoint2":false},{"type":"point","coord":[2,2],"color":"grayH","filled":true},{"type":"point","coord":[-2,-2],"color":"grayH","filled":true}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-9,-2],[-5,2]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/51/563b496c2029.json b/data/questions/dd/51/563b496c2029.json new file mode 100644 index 0000000000..75b6ae7f89 --- /dev/null +++ b/data/questions/dd/51/563b496c2029.json @@ -0,0 +1 @@ +{"content":"crwdns4213181:0$30$crwdnd4213181:0$x$crwdnd4213181:0$y$crwdnd4213181:0:-:crwdnd4213181:0$1$crwdnd4213181:0$30$crwdnd4213181:0$2$crwdnd4213181:0$3$crwdne4213181:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,30],[2,60],[3,90]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,7],[-2,95]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":60}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":90}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/64/16c217067f24.json b/data/questions/dd/64/16c217067f24.json new file mode 100644 index 0000000000..1001b22130 --- /dev/null +++ b/data/questions/dd/64/16c217067f24.json @@ -0,0 +1 @@ +{"content":"Mia kicked a football. The function $f$ models the height of the ball above the ground (in meters) as a function of time (in seconds) after Mia kicked it.\n\n**Plot the point on the graph of $f$ that corresponds to when the ball hit the ground.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/824e3ae76682db1d491aafe9fc34a65caf4c2b8a","width":400},"correct":{"coords":[[4,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,2],"labels":["x","y"],"markings":"none","range":[[-0.5,5],[-2,23]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/6a/4b8126783677.json b/data/questions/dd/6a/4b8126783677.json new file mode 100644 index 0000000000..e858d13ad5 --- /dev/null +++ b/data/questions/dd/6a/4b8126783677.json @@ -0,0 +1 @@ +{"content":"crwdns3415414:0$5$crwdnd3415414:0$12$crwdnd3415414:0$13.$crwdne3415414:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.200000000000003,-2.4248711305964292],[-0.023446292190627105,9.869944907758159],[-0.7897936071363304,-2.1055597493690543]],"match":"similar","showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/72/1377e3e5892f.json b/data/questions/dd/72/1377e3e5892f.json new file mode 100644 index 0000000000..57e5d431d6 --- /dev/null +++ b/data/questions/dd/72/1377e3e5892f.json @@ -0,0 +1 @@ +{"content":"Callan goes for a hike every Saturday. Callan hikes at a rate of $6$ kilometers per hour.\n\n**Complete the table for the given ratio.** \n \nHours, $x$ | Kilometers, $y$ \n:-: | :-: \n$1$ | $6$\n$3$| [[☃ numeric-input 3]]\n$4$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":18,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"kilometers for 3 hours","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 5":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":24,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"kilometers for 4 hours","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,3],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdb5800098f060ab8e36b779d0e38ac1279df8af","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,7],[-3,27]],"gridStep":[1,3],"snapStep":[1,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[3,18],[4,24]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/73/d4a006bc7d0c.json b/data/questions/dd/73/d4a006bc7d0c.json new file mode 100644 index 0000000000..001170b189 --- /dev/null +++ b/data/questions/dd/73/d4a006bc7d0c.json @@ -0,0 +1 @@ +{"content":"**Graph the following exponential function.**\n\n>$f(x)=-\\dfrac{3}{2}\\cdot\\left(\\dfrac{1}{2}\\right)^{\\large x}$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,-1.5],[-1,-3]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,0.5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/74/5ad8dc4d7e4c.json b/data/questions/dd/74/5ad8dc4d7e4c.json new file mode 100644 index 0000000000..da58770f77 --- /dev/null +++ b/data/questions/dd/74/5ad8dc4d7e4c.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-x-6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[1,-7]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/76/93f54e698a92.json b/data/questions/dd/76/93f54e698a92.json new file mode 100644 index 0000000000..2a60c2f0c1 --- /dev/null +++ b/data/questions/dd/76/93f54e698a92.json @@ -0,0 +1 @@ +{"content":"crwdns4115302:0crwdne4115302:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/65fccf9af40cdce311f69092bef8156d14383ce5","width":425},"correct":{"coords":[[-5,0],[1,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/82/7ac451d046e3.json b/data/questions/dd/82/7ac451d046e3.json new file mode 100644 index 0000000000..9b75bcdd53 --- /dev/null +++ b/data/questions/dd/82/7ac451d046e3.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=4x^2-4x-8$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[0.5,-9],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-9},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/92/444c32f6cd01.json b/data/questions/dd/92/444c32f6cd01.json new file mode 100644 index 0000000000..c8611747dc --- /dev/null +++ b/data/questions/dd/92/444c32f6cd01.json @@ -0,0 +1 @@ +{"content":"For every $15$ campers at a summer camp there is $1$ counselor.\n\n**Complete the table for the given ratio.** \n \nCampers, $x$ | Counselors, $y$ \n:-: | :-: \n$15$ | $1$\n$30$| [[☃ numeric-input 3]]\n$45$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":2,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"counselors for every 30 campers","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 5":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":3,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"counselors for every 45 campers","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[5,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7e4007ad45a718e885168d2c6c3a315b8a6e1e8e","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,50],[-1,6]],"gridStep":[5,1],"snapStep":[5,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[30,2],[45,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/93/d002acc724bb.json b/data/questions/dd/93/d002acc724bb.json new file mode 100644 index 0000000000..3e4601206c --- /dev/null +++ b/data/questions/dd/93/d002acc724bb.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2+4x+8y+16=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-2,-4],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/9d/2b314dfa7529.json b/data/questions/dd/9d/2b314dfa7529.json new file mode 100644 index 0000000000..a04a3a9207 --- /dev/null +++ b/data/questions/dd/9d/2b314dfa7529.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/90c845db102f972576f23b65db44ebad9617b96e","width":430},"correct":{"coords":[[-6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/b2/3b64088e5f6c.json b/data/questions/dd/b2/3b64088e5f6c.json new file mode 100644 index 0000000000..97f226aea2 --- /dev/null +++ b/data/questions/dd/b2/3b64088e5f6c.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism whose base is a $3\\times 3$ square and whose height is $6$. \n\n![square prism vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/94bf14f4775048a20e633abd42558d8e108ecfab.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the prism.** \n\nAssume the vertical slice is parallel to one of the sides of the prism.\n\n[[☃ interactive-graph 1]] ","images":{"https://ka-perseus-graphie.s3.amazonaws.com/94bf14f4775048a20e633abd42558d8e108ecfab.png":{"width":200,"height":400}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[0,9],[0,9]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","numSides":4,"coords":[[4,1],[4,7],[1,7],[1,1]],"match":"congruent","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/b3/2b4acfc1cf05.json b/data/questions/dd/b3/2b4acfc1cf05.json new file mode 100644 index 0000000000..822a719425 --- /dev/null +++ b/data/questions/dd/b3/2b4acfc1cf05.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-3.25$, $-5$, and $-\\dfrac{9}2$.**\n\n[[☃ radio 1]]","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/608bc0b6c5e91b4592df44db2e619e4eaea53c24)\n","correct":true},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/793492685c90bac222823d7393251779ae838903)","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad1e36d0bf8259ed139afa681bd8b2399ea5571a)","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/b3/db75340a5750.json b/data/questions/dd/b3/db75340a5750.json new file mode 100644 index 0000000000..b44fb17d47 --- /dev/null +++ b/data/questions/dd/b3/db75340a5750.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3+3x^2-18x-27$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-1.5,0],[3,0],[-3,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/b7/e7454450d0c8.json b/data/questions/dd/b7/e7454450d0c8.json new file mode 100644 index 0000000000..308e80b1a2 --- /dev/null +++ b/data/questions/dd/b7/e7454450d0c8.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(1,3)$ and $(8,3)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[8,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/be/d9aaec86c5f5.json b/data/questions/dd/be/d9aaec86c5f5.json new file mode 100644 index 0000000000..57f60a807f --- /dev/null +++ b/data/questions/dd/be/d9aaec86c5f5.json @@ -0,0 +1 @@ +{"content":"The $5$ points plotted below are on the graph of $y=\\log_b{x}$. \n \n ** Based only on these $5$ points, plot the $5$ corresponding points that must be on the graph of $y=b^{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/257f61e32ebfa49d1f28a9843bac61b3d35e87d3.png","width":425},"correct":{"coords":[[0,1],[1,2],[2,4],[3,8],[4,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,2],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/d2/65a6c182f824.json b/data/questions/dd/d2/65a6c182f824.json new file mode 100644 index 0000000000..d51a3a2b50 --- /dev/null +++ b/data/questions/dd/d2/65a6c182f824.json @@ -0,0 +1 @@ +{"content":"Mr. Ledger buys a box of $24$ donuts for a lesson in his math class about circumference. \n\n**Write an equation for the number of donuts $y$ that are left at the end of the day when $x$ donuts are used during the lesson.**\n\n[[☃ expression 1]]\n\nLast year, Mr. Ledger used $18$ donuts during the lesson. This year, he used $22$ donuts. \n\n**Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.** \n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=24-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[18,6],[22,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[2,2],"labels":["□","□"],"markings":"graph","range":[[-1,25],[-1,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/de/a9cd0505d9a4.json b/data/questions/dd/de/a9cd0505d9a4.json new file mode 100644 index 0000000000..e4568620a7 --- /dev/null +++ b/data/questions/dd/de/a9cd0505d9a4.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd76a18ef43056feffb77bd55d6424ec66bed01f","width":425},"correct":{"coords":[[0,1],[6,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/e3/422cda548d08.json b/data/questions/dd/e3/422cda548d08.json new file mode 100644 index 0000000000..a1573a0d70 --- /dev/null +++ b/data/questions/dd/e3/422cda548d08.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0b851cdf5d2c7e79e0b30ae9fc4c573ca488502a","width":425},"correct":{"coords":[[3,6],[3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/e4/de5bff5cd27c.json b/data/questions/dd/e4/de5bff5cd27c.json new file mode 100644 index 0000000000..28e67726a3 --- /dev/null +++ b/data/questions/dd/e4/de5bff5cd27c.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-3$|$-2$|$-2$|$-2$|$-6$\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dffe9451f3a174c6e644405b1601b2ba241c3dfa","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,1]],[[-5,3],[5,-2]],[[-5,0],[5,-2]],[[-5,-3],[5,-2]],[[-5,-6],[5,4]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/dd/ea/3f2272720477.json b/data/questions/dd/ea/3f2272720477.json new file mode 100644 index 0000000000..57a0198cac --- /dev/null +++ b/data/questions/dd/ea/3f2272720477.json @@ -0,0 +1 @@ +{"content":"crwdns5315901:0{ m}crwdnd5315901:0{ m}crwdnd5315901:0$1$crwdnd5315901:0{ m}crwdne5315901:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,-3],[-2,3],[-2,-3]],"match":"congruent","showSides":true,"type":"polygon"},"graph":{"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/eb/e7059987e040.json b/data/questions/dd/eb/e7059987e040.json new file mode 100644 index 0000000000..e394342cfc --- /dev/null +++ b/data/questions/dd/eb/e7059987e040.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/111e2f0c92a23c394190cc5a44b94827cc7bcf22","width":430},"correct":{"coords":[[0,-6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/dd/fb/4eadc4e78566.json b/data/questions/dd/fb/4eadc4e78566.json new file mode 100644 index 0000000000..aaa600be5f --- /dev/null +++ b/data/questions/dd/fb/4eadc4e78566.json @@ -0,0 +1 @@ +{"content":"crwdns3295081:0{-}crwdnd3295081:0$35$crwdnd3295081:0$20$crwdnd3295081:0$25$crwdnd3295081:0$25$crwdnd3295081:0$15$crwdnd3295081:0$12$crwdnd3295081:0$2$crwdnd3295081:0$2$crwdnd3295081:0$1$crwdnd3295081:0$4$crwdne3295081:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[35,12],[20,2],[25,2],[25,1],[15,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["crwdns3295049:0{Feet}crwdne3295049:0","crwdns3295048:0{Head}crwdne3295048:0"],"markings":"graph","range":[[-5,40],[-1,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,0.5],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/03/6f1c183aa6de.json b/data/questions/de/03/6f1c183aa6de.json new file mode 100644 index 0000000000..e8a773f242 --- /dev/null +++ b/data/questions/de/03/6f1c183aa6de.json @@ -0,0 +1 @@ +{"content":"crwdns6543895:0crwdne6543895:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7,0]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/0f/d60021b08b66.json b/data/questions/de/0f/d60021b08b66.json new file mode 100644 index 0000000000..52eb28873a --- /dev/null +++ b/data/questions/de/0f/d60021b08b66.json @@ -0,0 +1 @@ +{"content":"The figure below shows a cube of side length $6$. \n\n![cube vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the cube.** \n\nAssume the slice is parallel to one of the faces of the cube.\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/294f9514eb8ff76c2ef01fa15cac104d58e65bc8.png":{"width":304,"height":397}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[0,10],[0,10]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","numSides":4,"coords":[[7.5,1.5],[7.5,7.5],[1.5,7.5],[1.5,1.5]],"match":"congruent","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/16/a22cf5058000.json b/data/questions/de/16/a22cf5058000.json new file mode 100644 index 0000000000..ea407e1ec0 --- /dev/null +++ b/data/questions/de/16/a22cf5058000.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-(x+6)^2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-6,0],[-5,-1]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","f(x)"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/36/eb6ba268af45.json b/data/questions/de/36/eb6ba268af45.json new file mode 100644 index 0000000000..c1b76ad1e3 --- /dev/null +++ b/data/questions/de/36/eb6ba268af45.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}5 & -2 \\\\ -1 & 5\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}2 \\\\ 1\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b7787236bb00d65dd57ec781f2e9e37e6e5a773","width":425},"correct":{"coords":[[[0,0],[8,3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/37/29ff2e4242f5.json b/data/questions/de/37/29ff2e4242f5.json new file mode 100644 index 0000000000..52b9f0ab92 --- /dev/null +++ b/data/questions/de/37/29ff2e4242f5.json @@ -0,0 +1 @@ +{"content":"crwdns6509157:0crwdne6509157:0","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/48/c76a97a4e79b.json b/data/questions/de/48/c76a97a4e79b.json new file mode 100644 index 0000000000..4f118f7c3c --- /dev/null +++ b/data/questions/de/48/c76a97a4e79b.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable triangle to construct the image of $\\triangle BUD$ after the rotation $R_{180^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2273f19426ea3a1fb0f82ca2514616271f3321e3.png","width":425},"correct":{"coords":[[7,6],[3,4],[8,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/de/4e/a4d336943389.json b/data/questions/de/4e/a4d336943389.json new file mode 100644 index 0000000000..cd0651ae86 --- /dev/null +++ b/data/questions/de/4e/a4d336943389.json @@ -0,0 +1 @@ +{"content":"Last year, Denise harvested $3000$ metric tons of crops on her farm. This year, she wants to exceed last year's count by at least $2000$ metric tons. Each field of corn she harvests will yield $200$ metric tons, and each field of soybeans will yield $200$ metric tons.\n\n\n**Write an *inequality* that represents the number of fields of corn $(C)$ and fields of soybeans $(S)$ Denise will need to plow to achieve her harvest goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $S$ on the horizontal axis and $C$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Denise plows $10$ fields of corn $(C)$, which of the following numbers of fields of soybeans $(S)$ can she plow to meet or exceed the harvest goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"200C+200S>=5000","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 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b/data/questions/de/4e/b81dd958f625.json @@ -0,0 +1 @@ +{"content":"crwdns3399065:0$f$crwdnd3399065:0$a$crwdnd3399065:0$e$crwdnd3399065:0$f$crwdnd3399065:0$x$crwdnd3399065:0$a$crwdnd3399065:0$b$crwdnd3399065:0$c$crwdnd3399065:0$d$crwdnd3399065:0$e$crwdnd3399065:0$fcrwdnd3399065:0$1$crwdnd3399065:0$2$crwdnd3399065:0$3$crwdnd3399065:0$1$crwdnd3399065:0$2$crwdnd3399065:0$f$crwdnd3399065:0$f$crwdne3399065:0","images":{},"widgets":{"interactive-graph 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2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":false},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/de/52/4ad3f61f6d4b.json b/data/questions/de/52/4ad3f61f6d4b.json new file mode 100644 index 0000000000..fc3b73b1fb --- /dev/null +++ b/data/questions/de/52/4ad3f61f6d4b.json @@ -0,0 +1 @@ +{"content":"crwdns3462888:0$ycrwdne3462888:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-5],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/72/8a2621df3d25.json b/data/questions/de/72/8a2621df3d25.json new file mode 100644 index 0000000000..a2d72ee714 --- /dev/null +++ b/data/questions/de/72/8a2621df3d25.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (5.5, 5.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5.5,5.5],[6.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/de/87/62932d6b703a.json b/data/questions/de/87/62932d6b703a.json new file mode 100644 index 0000000000..02dcb8a3d6 --- /dev/null +++ b/data/questions/de/87/62932d6b703a.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-\\dfrac25$ that contains the point $(-3,5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[2,3],[-3,5]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/98/9abf790089e5.json b/data/questions/de/98/9abf790089e5.json new file mode 100644 index 0000000000..0dd2ab16b7 --- /dev/null +++ b/data/questions/de/98/9abf790089e5.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{4}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/18f68d6e90f55603330145ad1def3de4e3c5adb1","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-4,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/9f/fe8b3fbfbd59.json b/data/questions/de/9f/fe8b3fbfbd59.json new file mode 100644 index 0000000000..f631129841 --- /dev/null +++ b/data/questions/de/9f/fe8b3fbfbd59.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(3,0\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-6,6],[-6,6]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[3,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/a9/307a2058c7d1.json b/data/questions/de/a9/307a2058c7d1.json new file mode 100644 index 0000000000..7e73555813 --- /dev/null +++ b/data/questions/de/a9/307a2058c7d1.json @@ -0,0 +1 @@ +{"content":"Elena works for a non-profit organization that remodels neighborhood gardens to give them more reliable access to fresh produce. She is sketching a proposal.\n\nIn Elena’s sketch below, the green triangle, $\\triangle{ABC}$, represents the original garden. She is using the center of dilation labeled G with a scale factor of $\\dfrac{3}{4}$ to design a remodeled garden that is the same shape as the original.\n\n**Draw the remodeled garden, $\\triangle{DEF}$.**\n\n[[☃ interactive-graph 1]]\n\n","widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-5,0],[-2,3],[4,0]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"showAngles":false,"showSides":false,"snapStep":[0.5,0.5],"snapTo":"grid","type":"polygon"},"graph":{"showAngles":false,"showSides":false,"snapTo":"grid","startCoords":[[2,-1],[0,2],[-2,-1]],"type":"polygon"},"labels":["x","y"],"lockedFigures":[{"color":"grayH","coord":[-2,0],"filled":true,"type":"point"},{"color":"green","fillStyle":"none","points":[[-6,0],[-2,4],[6,0]],"showVertices":false,"strokeStyle":"solid","type":"polygon"}],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/b6/737b541c47f8.json b/data/questions/de/b6/737b541c47f8.json new file mode 100644 index 0000000000..12ed5c5bfb --- /dev/null +++ b/data/questions/de/b6/737b541c47f8.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nMariah bought a membership to the pool. Consider the relationship between the number of days Mariah swims and the total cost.\n\n\n\n**Fill in the table with the missing values. The total price should include the price of the subscription.\n** \n\n\nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n**Is the relationship between the days Mariah swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":439,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ece1090760799daa30bdcacc7806dc4d1e4e151","width":439},"correct":{"coords":[[10,30],[20,40]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":false},{"content":"**No**. The relationship is not proportional.","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/b6/951445fb476a.json b/data/questions/de/b6/951445fb476a.json new file mode 100644 index 0000000000..6a507914ab --- /dev/null +++ b/data/questions/de/b6/951445fb476a.json @@ -0,0 +1 @@ +{"content":"**Use the following coordinate plane to write the ordered pair for each point.** \n\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/b7df56210a09d527e9bb8a397f15305df97514d8)\n\nPoint | Ordered pair\n- | - \n$\\green{A}$ | $($ [[☃ numeric-input 1]] , [[☃ numeric-input 2]] $)$\n$\\purple{B}$| $($ [[☃ numeric-input 3]] , [[☃ numeric-input 4]] $)$\n$\\blue{C}$| $($ [[☃ numeric-input 5]] , [[☃ numeric-input 6]] $)$\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b7df56210a09d527e9bb8a397f15305df97514d8":{"height":425,"width":440}},"widgets":{"interaction 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1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-10,14],[-10,0],[14,7]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/d7/bf4c834bea8e.json b/data/questions/de/d7/bf4c834bea8e.json new file mode 100644 index 0000000000..aa0ad0be4a --- /dev/null +++ b/data/questions/de/d7/bf4c834bea8e.json @@ -0,0 +1 @@ +{"content":"crwdns3389871:0$R$crwdnd3389871:0$Rcrwdnd3389871:0{array}crwdnd3389871:0{ccc}crwdnd3389871:0{array}crwdne3389871:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/03f55fe5535b342fdbf5338c1c58ce5aa1c088fb","width":425},"correct":{"coords":[[3,-4],[3,6],[-3,4],[-3,-6]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/df/166005c599f1.json b/data/questions/de/df/166005c599f1.json new file mode 100644 index 0000000000..f94ed99f3f --- /dev/null +++ b/data/questions/de/df/166005c599f1.json @@ -0,0 +1 @@ +{"content":"Vectors $\\vec{a}$ and $\\vec{b}$ are drawn in the interactive graph below. \n \n**Click to graph the terminal point of the vector obtained by subtracting $\\vec{a}$ from $\\vec{b}$, whose initial point is the origin.** \n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d7195af0e3b1344784da76001b55625b6d68feee","width":400},"correct":{"coords":[[-2,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/e6/ce02b621bcdc.json b/data/questions/de/e6/ce02b621bcdc.json new file mode 100644 index 0000000000..cb340930fc --- /dev/null +++ b/data/questions/de/e6/ce02b621bcdc.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle that is also an isosceles triangle and has two sides of length $3$.** \n\nDraw the legs of the right triangle so that they are parallel to the lines of the coordinate grid.\n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.5,0.5],[1.5,3.5],[1.5,0.5]],"match":"congruent","showSides":true,"type":"polygon"},"graph":{"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/e6/f7c45b9c3f25.json b/data/questions/de/e6/f7c45b9c3f25.json new file mode 100644 index 0000000000..48f09a3680 --- /dev/null +++ b/data/questions/de/e6/f7c45b9c3f25.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $GROW$ is rotated $270^\\circ$ about the point $(-2,-1)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 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2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/02e86c434836154389ccb774c05ba7a04b135fd8","width":425},"correct":{"coords":[[-9,-5],[-3,-7],[0,-6],[-4,-9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/e9/6056df91be6c.json b/data/questions/de/e9/6056df91be6c.json new file mode 100644 index 0000000000..89cd4b9b26 --- /dev/null +++ b/data/questions/de/e9/6056df91be6c.json @@ -0,0 +1 @@ +{"content":"**Make a right angle by using the three black points as follows.** \n\n**Drag the vertex of the angle to place the vertex at the correct black point.** \n\n**Drag the points on the rays to make the rays go through the other two black points.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n\n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90$ degrees.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":true},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e410939f38846aa79ce243865b687586359748ee.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":3,"coords":[[4.886040819919128,-7.590193535089071],[-4,-4],[0.48067295504822116,7.090054725497801]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":3,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/ea/e2cb3040456d.json b/data/questions/de/ea/e2cb3040456d.json new file mode 100644 index 0000000000..d4eec588e7 --- /dev/null +++ b/data/questions/de/ea/e2cb3040456d.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e79a3248835f28f6ff4f918672041bb8f247e52c","width":425},"correct":{"coords":[[-2,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/f5/3beb1d086f62.json b/data/questions/de/f5/3beb1d086f62.json new file mode 100644 index 0000000000..69809ea827 --- /dev/null +++ b/data/questions/de/f5/3beb1d086f62.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=2\\sqrt{5} \\left( \\cos(27 \\degree) + i\\sin(27 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[4,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/f6/1e8be5f44902.json b/data/questions/de/f6/1e8be5f44902.json new file mode 100644 index 0000000000..48a772823d --- /dev/null +++ b/data/questions/de/f6/1e8be5f44902.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-x^2-6x-6$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,3],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/f8/0edf3424611b.json b/data/questions/de/f8/0edf3424611b.json new file mode 100644 index 0000000000..f5fdd4ab50 --- /dev/null +++ b/data/questions/de/f8/0edf3424611b.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+1)^2+y^2=81$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-1,0],"radius":9,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/de/ff/41de4f740520.json b/data/questions/de/ff/41de4f740520.json new file mode 100644 index 0000000000..526ef9f4c8 --- /dev/null +++ b/data/questions/de/ff/41de4f740520.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=5\\log_3(-x)-5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[0,-10],[0,10]],"coords":[[-1,-5],[-3,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/06/e8619631cf69.json b/data/questions/df/06/e8619631cf69.json new file mode 100644 index 0000000000..82b1ffea69 --- /dev/null +++ b/data/questions/df/06/e8619631cf69.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/636076241f8b1b11de6fdc6785496fccc9d44461.png","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,6],[-2,6]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-1.75,2.5],[5.5,2.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/0e/fc9992cfa35d.json b/data/questions/df/0e/fc9992cfa35d.json new file mode 100644 index 0000000000..4b23b9fe68 --- /dev/null +++ b/data/questions/df/0e/fc9992cfa35d.json @@ -0,0 +1 @@ +{"content":"A quadratic function $f$ has two real solutions, $x=-3$ and $x=3$, that make $f(x)=0$.\n\n**Select the equations that could define $f$ in standard form.**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"quadratic"},"valid":true,"correct":{"type":"quadratic"}},"type":"interactive-graph","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"interactive-graph 2":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54f1504dc9a3d4345177669b462ddf3081f5a0f5","width":265,"height":265},"labels":[],"alt":"A quadratic function is graphed. The x axis goes from negative 8 to 8 and the f of x axis goes from negative 8 to 8. The quadratic function is concave up, has x intercepts at (negative 4, 0) and (2, 0), and an f of x intercept at (0, -4).","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"expression 1":{"options":{"answerForms":[{"considered":"correct","form":true,"key":0,"simplify":false,"value":"-2x^{2}-2x+40","times":false,"functions":["f","g","h"],"buttonSets":["basic"],"buttonsVisible":"focused","linterContext":{"contentType":"","highlightLint":false,"paths":[],"stack":[]}}],"times":false,"buttonSets":["basic"],"functions":["f","g","h"],"static":false},"type":"expression","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false},"radio 1":{"options":{"choices":[{"correct":true,"content":"$f(x)=-x^{2}+9$"},{"correct":false,"content":"$f(x)=x^{2}+9$"},{"correct":false,"content":"$f(x)=-x^{2}-9$"},{"correct":true,"content":"$f(x)=x^{2}-9$"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":true,"countChoices":true,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/df/38/1c054afb9594.json b/data/questions/df/38/1c054afb9594.json new file mode 100644 index 0000000000..ebaf6db59e --- /dev/null +++ b/data/questions/df/38/1c054afb9594.json @@ -0,0 +1 @@ +{"content":"**Construct a $30^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/214a2834ece7a2052c15cb82c8da60286ebf80cf.png":{"height":38,"width":210},"https://ka-perseus-images.s3.amazonaws.com/895c494cc4520ecbdca32e680df0f97ee54f4320.png":{"height":202,"width":381}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-7.604667861756446,1.2358564987035274],[-2,-2],[-8.819865009834583,-1.9999999999999991]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/3e/059bf4b0c07d.json b/data/questions/df/3e/059bf4b0c07d.json new file mode 100644 index 0000000000..422231c313 --- /dev/null +++ b/data/questions/df/3e/059bf4b0c07d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+7)^2+(y-5)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-7,5],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/3f/b7e6e45ae111.json b/data/questions/df/3f/b7e6e45ae111.json new file mode 100644 index 0000000000..aafec009eb --- /dev/null +++ b/data/questions/df/3f/b7e6e45ae111.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{MN}$ is rotated $270^\\circ$ about the point $(0,-5)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b271094f4d6dad3470e1b86fad98edc7f06f892e","width":425},"correct":{"coords":[[[2,1],[7,-3]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/47/98abfc525df7.json b/data/questions/df/47/98abfc525df7.json new file mode 100644 index 0000000000..1cded2d104 --- /dev/null +++ b/data/questions/df/47/98abfc525df7.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{8}(x +5)(x -3)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,6],[-5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/6e/3c2b3de17b69.json b/data/questions/df/6e/3c2b3de17b69.json new file mode 100644 index 0000000000..a37388e863 --- /dev/null +++ b/data/questions/df/6e/3c2b3de17b69.json @@ -0,0 +1 @@ +{"content":"crwdns3399077:0$f$crwdnd3399077:0$a$crwdnd3399077:0$e$crwdnd3399077:0$f$crwdnd3399077:0$x$crwdnd3399077:0$a$crwdnd3399077:0$b$crwdnd3399077:0$c$crwdnd3399077:0$d$crwdnd3399077:0$e$crwdnd3399077:0$fcrwdnd3399077:0$-6$crwdnd3399077:0$3$crwdnd3399077:0$-6$crwdnd3399077:0$2$crwdnd3399077:0$-6$crwdnd3399077:0$f$crwdnd3399077:0$f$crwdne3399077:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93f893be5d4f1d7a3afba7f5cca7c155e1b75863","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":false},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/df/6f/aa5ee87979ba.json b/data/questions/df/6f/aa5ee87979ba.json new file mode 100644 index 0000000000..2ec471caf0 --- /dev/null +++ b/data/questions/df/6f/aa5ee87979ba.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nTimothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n| | |\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,5],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Km}$","$\\text{Minutes}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,22],[-5,55]],"gridStep":[2,5],"snapStep":[1,2.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[5,10],[11,15],[18,20]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/df/71/f329f6132ea8.json b/data/questions/df/71/f329f6132ea8.json new file mode 100644 index 0000000000..c500709f3d --- /dev/null +++ b/data/questions/df/71/f329f6132ea8.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(-5,-9)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(-5,-9)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,-9]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"First quadrant ","correct":false},{"content":"Second quadrant ","correct":false},{"content":"Third quadrant","correct":true},{"content":"Fourth quadrant","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/df/75/a32253173c4f.json b/data/questions/df/75/a32253173c4f.json new file mode 100644 index 0000000000..3a2a71b973 --- /dev/null +++ b/data/questions/df/75/a32253173c4f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac13$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37365d2280c6e7f7e98a3ed34ea9cbcab496022e","width":425},"correct":{"coords":[[1,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/7f/3ba1f2cc13ba.json b/data/questions/df/7f/3ba1f2cc13ba.json new file mode 100644 index 0000000000..2ebfd682bf --- /dev/null +++ b/data/questions/df/7f/3ba1f2cc13ba.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $\\left(7\\dfrac12,-2\\right)$, $(-3,7)$, and $(2,0)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7.5,-2],[-3,7],[2,0]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/95/f2f01e79e2ba.json b/data/questions/df/95/f2f01e79e2ba.json new file mode 100644 index 0000000000..e6c6ed6308 --- /dev/null +++ b/data/questions/df/95/f2f01e79e2ba.json @@ -0,0 +1 @@ +{"content":"**Which graph shows an exponential function with a domain of $-6 < x \\leq 8$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"correct":{"type":"linear","coords":null},"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true,"showTooltips":false},"availableTypes":["linear"]},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[265,265],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b093b6311e43ab359b5cb3aa7342d7ccfe237b5","width":265,"height":265},"labels":[],"alt":"","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":false,"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in a filled circle at (negative 5, 8) and ends on the right side in an open, unfilled circle at (7, -6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdeb6e0afbcaa9fa52e3571f2b17a40f9e4c5ba3)"},{"correct":false,"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in an open, unfilled circle at (negative 5, 8) and ends on the right side in a filled circle at (7, -6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/39502c69e176043c4487cc28ce43afe59b463e41)"},{"isNoneOfTheAbove":false,"correct":false,"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in a filled circle at (negative 6, 8) and ends on the right side in an open, unfilled circle at (8, 0 point 5).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/6e3385a10ba51af7a90b0d72e7f50c8952721657)"},{"isNoneOfTheAbove":false,"correct":true,"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in an open, unfilled circle at (negative 6, 8) and ends on the right side in a filled circle at (8, 0 point 5).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/3e0d5dd0fe610f3410166341f60f6f18b526bb8b)"}],"displayCount":null,"randomize":true,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/df/9c/9df65d8aec2d.json b/data/questions/df/9c/9df65d8aec2d.json new file mode 100644 index 0000000000..2c84955277 --- /dev/null +++ b/data/questions/df/9c/9df65d8aec2d.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54acda61b712f60ff784e4dc6ef203668b95e198","width":425},"correct":{"coords":[[0,-1],[2,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/a8/e2be9cf93b73.json b/data/questions/df/a8/e2be9cf93b73.json new file mode 100644 index 0000000000..ca2eadfac5 --- /dev/null +++ b/data/questions/df/a8/e2be9cf93b73.json @@ -0,0 +1 @@ +{"content":"crwdns5572001:0$xcrwdne5572001:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,2],[6,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/bd/62d20d5ec61f.json b/data/questions/df/bd/62d20d5ec61f.json new file mode 100644 index 0000000000..294a9b7f39 --- /dev/null +++ b/data/questions/df/bd/62d20d5ec61f.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a quadrilateral with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.5,0],[0,6.5],[-7.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/c1/19f73a239bd0.json b/data/questions/df/c1/19f73a239bd0.json new file mode 100644 index 0000000000..387148460f --- /dev/null +++ b/data/questions/df/c1/19f73a239bd0.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{1}{8}(x-6)(x+2)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-2],[6,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/c2/ad1f86c934ac.json b/data/questions/df/c2/ad1f86c934ac.json new file mode 100644 index 0000000000..b14e5ac4c9 --- /dev/null +++ b/data/questions/df/c2/ad1f86c934ac.json @@ -0,0 +1 @@ +{"content":"Sue is a software engineer. She wants to create a large scale drawing of a processor inside a cell phone. The processor is a square chip $9\\text{ mm}$ on each side.\n\n**Draw the processor such that $1$ unit on the grid below represents $\\dfrac{1}{2}\\text{ mm}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[10,-9],[10,9],[-8,9],[-8,-9]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"labels":["□","□"],"markings":"grid","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/d0/f7bd8f05146d.json b/data/questions/df/d0/f7bd8f05146d.json new file mode 100644 index 0000000000..755d824840 --- /dev/null +++ b/data/questions/df/d0/f7bd8f05146d.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{5}{16}(x -1)(x -9)$\n\n[[☃ grapher 2]]","images":{},"widgets":{"grapher 2":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[5,-5],[1,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/d5/b1438f7beed9.json b/data/questions/df/d5/b1438f7beed9.json new file mode 100644 index 0000000000..4d6164d77f --- /dev/null +++ b/data/questions/df/d5/b1438f7beed9.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local grocery store is shown below. Ice cream is located at the point $(-8,0)$. Sprinkles are located at the point $(-8,6)$.\n\n**Plot the ice cream and sprinkles on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far is the ice cream from the sprinkles?** \n[[☃ input-number 1]] units\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-8,0],[-8,6]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/e1/5ecf45712013.json b/data/questions/df/e1/5ecf45712013.json new file mode 100644 index 0000000000..632c9ec23a --- /dev/null +++ b/data/questions/df/e1/5ecf45712013.json @@ -0,0 +1 @@ +{"content":"In order to become a Silver Elite Member at Ripped Fitness, members must lift a total of $20{,}000$ $\\text{kg}$ or more in a single workout. David intends to accomplish this by only using the bench press and the squat machine. He will lift $100$ $\\text{kg}$ each bench press repetition and $200$ $\\text{kg}$ each squat repetition.\n\n**Write an *inequality* that represents the number of repetitions on the bench press $(B)$ and the squat machine $(S)$ that David needs to complete to become a Silver Elite Member.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $S$ on the horizontal axis and $B$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If David completes $95$ repetitions on the bench press $(B)$, which of the following numbers of squat machine repetitions $(S)$ can he complete to become a Silver Elite Member?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"100B+200S>=20000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"100b+200s\\ge20000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[20,25],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["S","B"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-15,150],[-25,250]],"gridStep":[10,10],"snapStep":[5,5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,200],[100,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$40$","correct":false},{"content":"$45$","correct":false},{"content":"$50$","correct":false},{"content":"$55$","correct":true},{"content":"$60$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/e2/d1c3711cf643.json b/data/questions/df/e2/d1c3711cf643.json new file mode 100644 index 0000000000..a632fe3ed3 --- /dev/null +++ b/data/questions/df/e2/d1c3711cf643.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec3d3247219028a3459bd967ab34424b3953e6c9","width":430},"correct":{"coords":[[0,8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/df/ea/b24906d4083d.json b/data/questions/df/ea/b24906d4083d.json new file mode 100644 index 0000000000..0bdce31174 --- /dev/null +++ b/data/questions/df/ea/b24906d4083d.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/745705c682793f354a91911925896e5d4337b416)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/745705c682793f354a91911925896e5d4337b416":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-\\dfrac35$","$\\dfrac15$","$0.8$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/04/a2cf93a752f5.json b/data/questions/e0/04/a2cf93a752f5.json new file mode 100644 index 0000000000..dfb8107e32 --- /dev/null +++ b/data/questions/e0/04/a2cf93a752f5.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac34\\cdot2^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-3,0],[3,0]],"coords":[[0,0.75],[1,1.5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.25,0.25],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-3,3],[-3,3]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[0.5,0.5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/09/34cab3a1eff1.json b/data/questions/e0/09/34cab3a1eff1.json new file mode 100644 index 0000000000..e063aa258c --- /dev/null +++ b/data/questions/e0/09/34cab3a1eff1.json @@ -0,0 +1 @@ +{"content":"crwdns6546925:0crwdne6546925:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[8,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/11/45f042ff5b3e.json b/data/questions/e0/11/45f042ff5b3e.json new file mode 100644 index 0000000000..18e941c301 --- /dev/null +++ b/data/questions/e0/11/45f042ff5b3e.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad5715c11d13cd92df0e9ba05cf362e2945b9684","width":425},"correct":{"coords":[[-2,0],[4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/34/2622f79986f1.json b/data/questions/e0/34/2622f79986f1.json new file mode 100644 index 0000000000..f247190580 --- /dev/null +++ b/data/questions/e0/34/2622f79986f1.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$0.3$|$0.6$|$0.9$|$1.2$\n$y$|$0$|$1$|$2$|$3$|$4$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3.3333333333333335},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[3,10]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/35/b6eb2df29583.json b/data/questions/e0/35/b6eb2df29583.json new file mode 100644 index 0000000000..87980a5ff2 --- /dev/null +++ b/data/questions/e0/35/b6eb2df29583.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_2(-x)-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[0,-10],[0,10]],"coords":[[-1,-9],[-8,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/37/b132a6976654.json b/data/questions/e0/37/b132a6976654.json new file mode 100644 index 0000000000..48c707fec6 --- /dev/null +++ b/data/questions/e0/37/b132a6976654.json @@ -0,0 +1 @@ +{"content":"**Construct a $40^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-6.346730705020751,5.325539393764433],[0,0],[-7.530523827277034,1.7763568394002505e-15]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/4a/4802fb799a2f.json b/data/questions/e0/4a/4802fb799a2f.json new file mode 100644 index 0000000000..57692cc593 --- /dev/null +++ b/data/questions/e0/4a/4802fb799a2f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2683edd01039f0f67af98115da7d56da87bef1cd","width":425},"correct":{"coords":[[-2,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/55/024c9d6b4383.json b/data/questions/e0/55/024c9d6b4383.json new file mode 100644 index 0000000000..6bca72f7b5 --- /dev/null +++ b/data/questions/e0/55/024c9d6b4383.json @@ -0,0 +1 @@ +{"content":"A membership to the city pool costs $\\$2$. With a membership, you pay $\\$1$ for each day you swim at the pool. Swimming at the pool without a membership costs $\\$2$ per day. \n \nHolly swims without a membership. Consider the relationship between the number of days Holly swims and the total cost.\n\n \n**Fill in the table with the missing values.** \n \nDays swimming | Total cost ($\\$$)\n:-: | :-:\n$1$ | [[☃ input-number 1]]\n$2$ | [[☃ input-number 2]] \n \n**Now graph the points listed in the table.** \n\n[[☃ interactive-graph 1]]\n\n\n**Is the relationship between the number of days Holly swims and the total cost proportional?** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":0,"scale":"1","url":"","width":0},"correct":{"coords":[[2,4],[1,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["\\text{Days}","\\text{Cost}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/59/ac4c5adbe085.json b/data/questions/e0/59/ac4c5adbe085.json new file mode 100644 index 0000000000..b9715a2466 --- /dev/null +++ b/data/questions/e0/59/ac4c5adbe085.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the final point after reflecting point $A$ across the $x$-axis and then across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/334b4f7715f9228f3c099cbd63fbe51648455e4e","width":400},"correct":{"coords":[[9,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/63/a2ffad21142f.json b/data/questions/e0/63/a2ffad21142f.json new file mode 100644 index 0000000000..20954c3b3f --- /dev/null +++ b/data/questions/e0/63/a2ffad21142f.json @@ -0,0 +1 @@ +{"content":"When it is raining outside, you tend to stay in and watch TV. The number of hours of TV that you watch in a given week is twice the number of rainy days in that week. In the table below, $y$ is the number of hours of TV you watch in a week, and $x$ is the number of rainy days in that week.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$y=2x$.\n\n**Plot two points on the graph that show the number of hours of TV you watch if there are $5$ rainy days and $7$ rainy days.**\n\n\n$x$ | $y$\n:-:|:-:\n$1$ | $2$\n$2$ | $4$\n$3$ | $6$\n$4$ | $8$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[5,10],[7,14]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,17],[-1,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/69/f7a602d36bf8.json b/data/questions/e0/69/f7a602d36bf8.json new file mode 100644 index 0000000000..028f5a1978 --- /dev/null +++ b/data/questions/e0/69/f7a602d36bf8.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/627679bd8f17701f0bb377ad49543dafc3ef4d14","width":425},"correct":{"coords":[[-2,2],[-2,4],[-5,3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/78/b4959cf2e344.json b/data/questions/e0/78/b4959cf2e344.json new file mode 100644 index 0000000000..3bf227429e --- /dev/null +++ b/data/questions/e0/78/b4959cf2e344.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-\\dfrac25$ that contains the point $(-3,5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[2,3],[-3,5]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/81/bfdc5284eeed.json b/data/questions/e0/81/bfdc5284eeed.json new file mode 100644 index 0000000000..fb5411c986 --- /dev/null +++ b/data/questions/e0/81/bfdc5284eeed.json @@ -0,0 +1 @@ +{"content":"Jesenia drew a rectangle with an area of $16$ square units.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $4$ units long.*\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8b634293911e5fa6c5f4a3fed5421945609efc1b","width":400,"height":400},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,5],[-5,5]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[4,-3],[4,-1],[-4,-1],[-4,-3]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/a5/82eb4a907e50.json b/data/questions/e0/a5/82eb4a907e50.json new file mode 100644 index 0000000000..4d846cc787 --- /dev/null +++ b/data/questions/e0/a5/82eb4a907e50.json @@ -0,0 +1 @@ +{"content":"**Graph $y=8.5x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,8.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The equation represents a proportional relationship.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $8.5$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{2}{17}$ .","correct":false},{"content":" A change of $17$ units in $x$ results in a change of $2$ units in $y$.","correct":false},{"content":" A change of $4$ units in $x$ results in a change of $34$ units in $y$.","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/a6/1de272860f7a.json b/data/questions/e0/a6/1de272860f7a.json new file mode 100644 index 0000000000..f0a04dd699 --- /dev/null +++ b/data/questions/e0/a6/1de272860f7a.json @@ -0,0 +1 @@ +{"content":"Aubree collected data about exams in each of her classes from the previous year. \n \n**Plot the data in a scatter plot.** \n\n | | | | | | |\n:-- | :--: | :--: | :--: | :--: | :--: | :--:\n**Class** | English | Math | History | Computer science | Arts | Biology\n**Period** | $1$ | $6$ | $2$ | $4$ | $3$ | $5$\n**Average score** | $95$ | $85$ | $70$ | $65$ | $90$ | $70$\n\n\n\n[[☃ interactive-graph 2]] ","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,95],[2,70],[3,90],[4,65],[5,70],[6,85]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,10],"labels":["$\\text{Period}$","$\\text{Avg score}$"],"markings":"graph","range":[[-0.7,8],[-10,105]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,5],"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/ac/8d457be00ee3.json b/data/questions/e0/ac/8d457be00ee3.json new file mode 100644 index 0000000000..5649cfaf09 --- /dev/null +++ b/data/questions/e0/ac/8d457be00ee3.json @@ -0,0 +1 @@ +{"content":"**Construct a $45^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/5051a3681fa62ab6306c0042d753173603ce37f1.png":{"height":227,"width":381},"https://ka-perseus-images.s3.amazonaws.com/f71fe296cc2df5d63d0f15a62bf5144ec0a46ecf.png":{"height":215,"width":212}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-5.74176744014726,-3.258232559852739],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/c4/694ec9aa99f7.json b/data/questions/e0/c4/694ec9aa99f7.json new file mode 100644 index 0000000000..eb11d940c4 --- /dev/null +++ b/data/questions/e0/c4/694ec9aa99f7.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create a right angle.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n \n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"éèʠúùáàĺľ ťțóò","correct":true},{"content":"ĝǧŕřéèáàťțéèŕř ťțĥȟáàńň","correct":false},{"content":"ĺľéèśŝśŝ ťțĥȟáàńň","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/dd42acf3c2415e14f48c82ba6ebf257517729582.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-1.0882963141137232,8.088296314113723],[6,1],[-2.5890410580912864,-7.589041058091285]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/c6/2b234153354b.json b/data/questions/e0/c6/2b234153354b.json new file mode 100644 index 0000000000..f69ab07ec7 --- /dev/null +++ b/data/questions/e0/c6/2b234153354b.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-1\\cdot 2^{1-x}+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,6],[10,6]],"coords":[[0,4],[1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/cc/7454feeb3c8a.json b/data/questions/e0/cc/7454feeb3c8a.json new file mode 100644 index 0000000000..97c269d85d --- /dev/null +++ b/data/questions/e0/cc/7454feeb3c8a.json @@ -0,0 +1 @@ +{"content":"crwdns2988119:0crwdne2988119:0","images":{"https://ka-perseus-images.s3.amazonaws.com/489d2f6dcbd3c6752a8a0460a1d0f51657ec11e2.png":{"height":197,"width":371},"https://ka-perseus-images.s3.amazonaws.com/a0978055414ef8a13fc5b22a76e83614cf19381f.png":{"height":78,"width":216}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.559354702894409,4.6648524807823755]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/d4/3c1df4512710.json b/data/questions/e0/d4/3c1df4512710.json new file mode 100644 index 0000000000..d4880ed507 --- /dev/null +++ b/data/questions/e0/d4/3c1df4512710.json @@ -0,0 +1 @@ +{"content":"**Graph $y = \\dfrac{2}{3}(x-5)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":[[8,2],[5,0]]},"gridStep":[1,1],"snapStep":[1,1],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/d9/772726ef0f2e.json b/data/questions/e0/d9/772726ef0f2e.json new file mode 100644 index 0000000000..6a5ad4d390 --- /dev/null +++ b/data/questions/e0/d9/772726ef0f2e.json @@ -0,0 +1 @@ +{"content":"crwdns2984009:0$6$crwdne2984009:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[4,3],[4,6],[4,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2699464:0crwdne2699464:0","correct":false},{"content":"crwdns2699411:0crwdne2699411:0","correct":true},{"content":"crwdns2699524:0crwdne2699524:0"}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e0/e9/cc8df4d7805c.json b/data/questions/e0/e9/cc8df4d7805c.json new file mode 100644 index 0000000000..d11bca1aa3 --- /dev/null +++ b/data/questions/e0/e9/cc8df4d7805c.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-\\dfrac{25}8$, $-3.5$, and $-4$.**\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/32362418a8aa2bbf5a7ca8927f5134ee375448cb":{"height":80,"width":460}},"widgets":{"categorizer 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1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/a87b4f6901efac0538d60979f8191c318b388474)\n","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/85263a242396adfd7279d7d9477cdf720c1d3783)","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/887119176b4a99f6d9415245221709164a7503c3)","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e0/f4/d662d0a7dbd6.json b/data/questions/e0/f4/d662d0a7dbd6.json new file mode 100644 index 0000000000..8accdf71f1 --- /dev/null +++ b/data/questions/e0/f4/d662d0a7dbd6.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{3}{2}x^2-6x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-2,6],[0,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/01/ac29d938dc1c.json b/data/questions/e1/01/ac29d938dc1c.json new file mode 100644 index 0000000000..5b52c55bf9 --- /dev/null +++ b/data/questions/e1/01/ac29d938dc1c.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot the reflection of $A$ across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/909a727e2a541bf8b722deaadad074c7f258ca24","width":400},"correct":{"coords":[[-6,-3]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/05/f7b45dd619bd.json b/data/questions/e1/05/f7b45dd619bd.json new file mode 100644 index 0000000000..e782ac6878 --- /dev/null +++ b/data/questions/e1/05/f7b45dd619bd.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2^{x+1}-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"exponential","asymptote":[[-10,-3],[10,-3]],"coords":[[0,-1],[1,1]]},"availableTypes":["exponential"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/0f/cd8df9050022.json b/data/questions/e1/0f/cd8df9050022.json new file mode 100644 index 0000000000..8dd200204d --- /dev/null +++ b/data/questions/e1/0f/cd8df9050022.json @@ -0,0 +1 @@ +{"content":"crwdns4115794:0crwdne4115794:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/98ba2b12f41548864f06d7baf26135a882752fa4","width":425},"correct":{"coords":[[1,-7],[-2,-3],[-4,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/11/17551c141325.json b/data/questions/e1/11/17551c141325.json new file mode 100644 index 0000000000..66e80d4902 --- /dev/null +++ b/data/questions/e1/11/17551c141325.json @@ -0,0 +1 @@ +{"content":"**Use the following coordinate plane to write the ordered pair for each point.** \n\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/8ad347811cbe61c1ae7e4c628201c7459f0e1678)\n\nPoint | Ordered pair\n- | - \n$\\green{A}$ | $($ [[☃ numeric-input 1]] , [[☃ numeric-input 2]] $)$\n$\\purple{B}$| $($ [[☃ numeric-input 3]] , [[☃ numeric-input 4]] $)$\n$\\blue{C}$| $($ [[☃ numeric-input 5]] , [[☃ numeric-input 6]] $)$\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8ad347811cbe61c1ae7e4c628201c7459f0e1678":{"height":425,"width":440}},"widgets":{"interaction 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6":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{},{}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"table 1":{"graded":true,"options":{"answers":[[""],[""],[""],[""]],"columns":1,"headers":[""],"rows":4},"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/2c/1019f920bbb5.json b/data/questions/e1/2c/1019f920bbb5.json new file mode 100644 index 0000000000..19044c2d05 --- /dev/null +++ b/data/questions/e1/2c/1019f920bbb5.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=5x^3-5x^2-10x$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[-1,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/33/d94c2914dca0.json b/data/questions/e1/33/d94c2914dca0.json new file mode 100644 index 0000000000..ce84e6e9cf --- /dev/null +++ b/data/questions/e1/33/d94c2914dca0.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $10$ units\n\n\n- Its amplitude is $3$ units\n\n\n- It intersects its midline at $(-1,2)$ and then increases\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[-1,2],[1.5,5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/4d/285be10cd1b0.json b/data/questions/e1/4d/285be10cd1b0.json new file mode 100644 index 0000000000..f389fc015d --- /dev/null +++ b/data/questions/e1/4d/285be10cd1b0.json @@ -0,0 +1 @@ +{"content":"crwdns3380952:0crwdne3380952:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[4,6],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/61/884f30828b4f.json b/data/questions/e1/61/884f30828b4f.json new file mode 100644 index 0000000000..4fbb86e367 --- /dev/null +++ b/data/questions/e1/61/884f30828b4f.json @@ -0,0 +1 @@ +{"content":"crwdns3458196:0crwdne3458196:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-9,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/7f/4b8531767bdd.json b/data/questions/e1/7f/4b8531767bdd.json new file mode 100644 index 0000000000..c1f7aa3dc7 --- /dev/null +++ b/data/questions/e1/7f/4b8531767bdd.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{1}{3}x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,5],[3,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/8c/528fabab869c.json b/data/questions/e1/8c/528fabab869c.json new file mode 100644 index 0000000000..b4404e6fdc --- /dev/null +++ b/data/questions/e1/8c/528fabab869c.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$1$|$2$|$3$|$4$\n$y$|$0$|$3$|$6$|$9$|$12$\n\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/8f/b22978c4042e.json b/data/questions/e1/8f/b22978c4042e.json new file mode 100644 index 0000000000..83e7c394d6 --- /dev/null +++ b/data/questions/e1/8f/b22978c4042e.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $6$, नियम: $6$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $1$, नियम: $1$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.16666666666666666},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6,1],[12,2],[18,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["6","1"],["12","2"],["18","3"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/97/8891b887dbfb.json b/data/questions/e1/97/8891b887dbfb.json new file mode 100644 index 0000000000..4bed7624bf --- /dev/null +++ b/data/questions/e1/97/8891b887dbfb.json @@ -0,0 +1 @@ +{"content":"crwdns3462940:0$gcrwdne3462940:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-8],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/98/a903b0799d17.json b/data/questions/e1/98/a903b0799d17.json new file mode 100644 index 0000000000..6ccecb4088 --- /dev/null +++ b/data/questions/e1/98/a903b0799d17.json @@ -0,0 +1 @@ +{"content":"Hector recorded the amount of coffee he drank (in milliliters) and the duration of his drive (in minutes) over five days this week. \n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Coffee (mL)** | $100$ | $200$ | $150$ | $125$ | $225$\n**Duration (min)** | $18$ | $14$ | $15$ | $20$ | $12$ \n\n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[50,2],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["$\\text{Coffee}$","$\\text{Duration}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-25,300],[-2,21]],"gridStep":[50,1],"snapStep":[25,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[100,18],[200,14],[150,15],[125,20],[225,12]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/99/21344b677717.json b/data/questions/e1/99/21344b677717.json new file mode 100644 index 0000000000..bedb93a48c --- /dev/null +++ b/data/questions/e1/99/21344b677717.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/99/e447dee928af.json b/data/questions/e1/99/e447dee928af.json new file mode 100644 index 0000000000..9a95493de5 --- /dev/null +++ b/data/questions/e1/99/e447dee928af.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\sin\\left(\\dfrac{\\pi}{8}x\\right)+7$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/9c/d099c58ccd27.json b/data/questions/e1/9c/d099c58ccd27.json new file mode 100644 index 0000000000..bd3f24cf2a --- /dev/null +++ b/data/questions/e1/9c/d099c58ccd27.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad g(x)=-3x^2+18x-24$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[3,3],[4,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":2}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/9f/62abd505682b.json b/data/questions/e1/9f/62abd505682b.json new file mode 100644 index 0000000000..0f9e0af961 --- /dev/null +++ b/data/questions/e1/9f/62abd505682b.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map quadrilateral $TRAM$ onto the other quadrilateral below.**\n\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/17b81dddd0ef5f94861d2bdf1e46109ed5bea87f","width":425},"correct":{"coords":[[-3,-6],[-3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/a2/fc77597c2437.json b/data/questions/e1/a2/fc77597c2437.json new file mode 100644 index 0000000000..317a71eaa3 --- /dev/null +++ b/data/questions/e1/a2/fc77597c2437.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=0.5\\cos\\left(\\dfrac{1}{3}x+\\dfrac{2\\pi}{3}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[-1,-2],[-4,-1.5]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[0.5,0.5],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3399a2166bf8f88b67cacda125ca07971602b0b0","width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/ab/be38a24d4af0.json b/data/questions/e1/ab/be38a24d4af0.json new file mode 100644 index 0000000000..c934ae8ed3 --- /dev/null +++ b/data/questions/e1/ab/be38a24d4af0.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $f(x)=\\dfrac{2}{9}(x+8.5)(x-0.5)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the function.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,-4.5],[0.5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/b1/ecd128713b09.json b/data/questions/e1/b1/ecd128713b09.json new file mode 100644 index 0000000000..72be26beb8 --- /dev/null +++ b/data/questions/e1/b1/ecd128713b09.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_3(2-x)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[2,-10],[2,10]],"coords":[[1,0],[-1,3]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/bb/f68450dcb58e.json b/data/questions/e1/bb/f68450dcb58e.json new file mode 100644 index 0000000000..7b8a925eb2 --- /dev/null +++ b/data/questions/e1/bb/f68450dcb58e.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{8}x^2+x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-2],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/cf/29ac18726476.json b/data/questions/e1/cf/29ac18726476.json new file mode 100644 index 0000000000..1b50e7338c --- /dev/null +++ b/data/questions/e1/cf/29ac18726476.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=2\\sin(\\pi x-3\\pi)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[3,-4],[3.5,-2]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/d5/bbad56b474c2.json b/data/questions/e1/d5/bbad56b474c2.json new file mode 100644 index 0000000000..7aeabb54b4 --- /dev/null +++ b/data/questions/e1/d5/bbad56b474c2.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec3d3247219028a3459bd967ab34424b3953e6c9","width":430},"correct":{"coords":[[0,8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/d6/db45b8a8f44e.json b/data/questions/e1/d6/db45b8a8f44e.json new file mode 100644 index 0000000000..663dd37213 --- /dev/null +++ b/data/questions/e1/d6/db45b8a8f44e.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e442bd42b36a954f342fb8db4e5e19b3f7ade7","width":425},"correct":{"coords":[[-3,5],[-3,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e1/e4/dee41301dbe6.json b/data/questions/e1/e4/dee41301dbe6.json new file mode 100644 index 0000000000..feb572d61c --- /dev/null +++ b/data/questions/e1/e4/dee41301dbe6.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n\n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e7309d6531aabb8e95172f158358dcb5e32e18ba","scale":"1","bottom":"0","left":"0","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-3,7],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"segment","numSegments":2},"correct":{"type":"segment","numSegments":2,"coords":[[[0,4],[-1,1]],[[5,1],[0,4]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/03/628c7d8667c0.json b/data/questions/e2/03/628c7d8667c0.json new file mode 100644 index 0000000000..40780488b7 --- /dev/null +++ b/data/questions/e2/03/628c7d8667c0.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/61ff8d9fa61c6695f2ceffe7cfba38075db08af4","width":425},"correct":{"coords":[[-7,9],[-7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/05/32481da780fa.json b/data/questions/e2/05/32481da780fa.json new file mode 100644 index 0000000000..cb80d5238d --- /dev/null +++ b/data/questions/e2/05/32481da780fa.json @@ -0,0 +1 @@ +{"content":"For Halloween, Nana makes bags with orange and black candies for her $5$ grandchildren. The points show how many orange candies and how many black candies are in $4$ of the bags. The fifth bag has $11$ orange candies and $12$ black candies. \n \n\n**Plot the $5^{\\text{th}}$ bag's candies on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which bag has the fewest orange candies?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f169bc39a0f689fe6080b3e5985c1d12676ec947","width":400},"correct":{"coords":[[11,12]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Bag $1$","correct":false},{"content":"Bag $2$","correct":false},{"content":"Bag $3$","correct":false},{"content":"Bag $4$","correct":true},{"content":"Bag $5$","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e2/0c/c4b78d48c57c.json b/data/questions/e2/0c/c4b78d48c57c.json new file mode 100644 index 0000000000..a553d03755 --- /dev/null +++ b/data/questions/e2/0c/c4b78d48c57c.json @@ -0,0 +1 @@ +{"content":"$\\triangle{RUG}$ is rotated $180^\\circ$ about the point $(3,-2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5cc9797e149c7562c4b6e9149d055fbf2aff382","width":425},"correct":{"coords":[[1,-6],[-1,-8],[7,-8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/12/1bb2f433337c.json b/data/questions/e2/12/1bb2f433337c.json new file mode 100644 index 0000000000..39ff1b4352 --- /dev/null +++ b/data/questions/e2/12/1bb2f433337c.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\cos\\left(\\dfrac{\\pi}{3}x+\\pi\\right)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[-1.5,-3],[-3,1]],"asymptote":null},"availableTypes":["sinusoid"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/16/67bdebf85102.json b/data/questions/e2/16/67bdebf85102.json new file mode 100644 index 0000000000..3ce85bb7e7 --- /dev/null +++ b/data/questions/e2/16/67bdebf85102.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $50^\\circ$, $60^\\circ$, and $70^\\circ$ angles.**\n\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[8.97473270351352,2.6017045644409715],[6.229055532732191,10.57573007041029],[1.5160052207748924,2.7318971369340552]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/1d/99be17c955db.json b/data/questions/e2/1d/99be17c955db.json new file mode 100644 index 0000000000..4db3e3a364 --- /dev/null +++ b/data/questions/e2/1d/99be17c955db.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -12x +6y +36=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[6,-3],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/2b/65663a87317c.json b/data/questions/e2/2b/65663a87317c.json new file mode 100644 index 0000000000..baa10a09f7 --- /dev/null +++ b/data/questions/e2/2b/65663a87317c.json @@ -0,0 +1 @@ +{"content":"Jai's school is located at $3^{\\text{rd}}$ Avenue and $10^{\\text{th}}$ Street, represented by the point $(3,10)$ on the map below. His soccer practice takes place at $9^{\\text{th}}$ Avenue and $2^{\\text{nd}}$ Street, represented by $(9, 2)$ on the map. To get to soccer practice after school, he walks down $3^{\\text{rd}}$ Avenue then over on $2^{\\text{nd}}$ Street.\n\n**Plot Jai's school and his soccer practice field on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Jai walk to get to soccer practice after school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":14},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,10],[9,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/3e/7cdc73b0b413.json b/data/questions/e2/3e/7cdc73b0b413.json new file mode 100644 index 0000000000..ba4cf8905c --- /dev/null +++ b/data/questions/e2/3e/7cdc73b0b413.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the hexagon by connecting two black points.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/0f55039bab46b48fbba040bcf59b4ebff9414926.png","width":400},"correct":{"coords":[[4,4.5],[4,-9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-5,10],[-10,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/43/910592262efb.json b/data/questions/e2/43/910592262efb.json new file mode 100644 index 0000000000..bd9aeab9a0 --- /dev/null +++ b/data/questions/e2/43/910592262efb.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(3,8)$ and $(3,4)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[3,8],[3,4]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/47/c4486d70b588.json b/data/questions/e2/47/c4486d70b588.json new file mode 100644 index 0000000000..9c17a8bd1d --- /dev/null +++ b/data/questions/e2/47/c4486d70b588.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8b14a279492d3a52d386c69dd73110180cabc2d2","width":400},"correct":{"coords":[[[0,1],[-1,-2]],[[5,1],[-1,-2]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/4c/76cd8143b3aa.json b/data/questions/e2/4c/76cd8143b3aa.json new file mode 100644 index 0000000000..7554c01e31 --- /dev/null +++ b/data/questions/e2/4c/76cd8143b3aa.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-6$|$3$|$-6$|$2$|$-6$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93f893be5d4f1d7a3afba7f5cca7c155e1b75863","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e2/4c/ff66631fa9d8.json b/data/questions/e2/4c/ff66631fa9d8.json new file mode 100644 index 0000000000..49eefcaeed --- /dev/null +++ b/data/questions/e2/4c/ff66631fa9d8.json @@ -0,0 +1 @@ +{"content":"crwdns3394177:0$ycrwdnd3394177:0{1}crwdnd3394177:0{7}crwdne3394177:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-3],[7,-8]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/4f/f00c639e2ab3.json b/data/questions/e2/4f/f00c639e2ab3.json new file mode 100644 index 0000000000..b6762128bd --- /dev/null +++ b/data/questions/e2/4f/f00c639e2ab3.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit to the right and $4$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8acadbc1755d5b492dd2008832bd8380ab0196f8","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[7,2],[7,6],[-3,7],[-1,-1]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/58/d19f04e2a0fc.json b/data/questions/e2/58/d19f04e2a0fc.json new file mode 100644 index 0000000000..a251d8570a --- /dev/null +++ b/data/questions/e2/58/d19f04e2a0fc.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec26f87a3cbb86dd3fbdfe3df674f3aed81593c4","width":425},"correct":{"coords":[[7,1],[-5,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/5e/a17abd8667fb.json b/data/questions/e2/5e/a17abd8667fb.json new file mode 100644 index 0000000000..51850b34a9 --- /dev/null +++ b/data/questions/e2/5e/a17abd8667fb.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n&y=-6x+8\n\\\\\\\\\n& 3x+y=-4\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,8],[1,2]],[[0,-4],[1,-7]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"ÉÈẍẋáàćĉťțĺľý óòńňéè śŝóòĺľúùťțíìóòńň","correct":true},{"content":"ŃŇóò śŝóòĺľúùťțíìóòńňśŝ","correct":false},{"content":"ÎÏńňḟíìńňíìťțéèĺľý ḿṁáàńňý śŝóòĺľúùťțíìóòńňśŝ","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e2/61/e0641a63fa4d.json b/data/questions/e2/61/e0641a63fa4d.json new file mode 100644 index 0000000000..7f4376ca77 --- /dev/null +++ b/data/questions/e2/61/e0641a63fa4d.json @@ -0,0 +1 @@ +{"content":"Tygo loves to eat popsicles in the summer. His mom buys popsicles in boxes that have $6$ popsicles per box, and let's Tygo eat them all! In the graph below, $b$ is the number of boxes of popsicles Tygo's mom buys, and $p$ is the number of popsicles Tygo gets to eat.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$p=6b$\n\n**Plot points on the graph that show the number of popsicles Tygo gets to eat if his mom buys $2$ or $5$ boxes.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["\\□□□□{□□□□□}","\\□□□□{□□□□□□□□□}"],"markings":"graph","range":[[-1,10],[-5,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/64/fa28af911af0.json b/data/questions/e2/64/fa28af911af0.json new file mode 100644 index 0000000000..b9b1871efa --- /dev/null +++ b/data/questions/e2/64/fa28af911af0.json @@ -0,0 +1 @@ +{"content":"Mary is a scientist. Using a microscope, she looks at a salt crystal and discovers it is shaped like a cube. Each square face has side length $0.1\\text{ mm}$.\n\n**Draw the crystal's square face such that $1$ unit on the grid below represents $ 0.01\\text{ mm}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"37","height":0,"left":"32","scale":".16","url":"","width":0},"correct":{"coords":[[5,-6.5],[5,3.5],[-5,3.5],[-5,-6.5]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/66/a4ac898ebd25.json b/data/questions/e2/66/a4ac898ebd25.json new file mode 100644 index 0000000000..cea5ea44ef --- /dev/null +++ b/data/questions/e2/66/a4ac898ebd25.json @@ -0,0 +1 @@ +{"content":"crwdns5193753:0$A$crwdnd5193753:0$y$crwdne5193753:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2683edd01039f0f67af98115da7d56da87bef1cd","width":425},"correct":{"coords":[[-2,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/6d/09092f772cc5.json b/data/questions/e2/6d/09092f772cc5.json new file mode 100644 index 0000000000..45868e6589 --- /dev/null +++ b/data/questions/e2/6d/09092f772cc5.json @@ -0,0 +1 @@ +{"content":"Gian is allowed to spend $45$ minutes on the computer after dinner. He spends his entire $45$ minutes either watching videos or playing games.\n\n**Write an equation for the number of minutes Gian spends playing games, $y$, if he spends $x$ minutes watching videos.**\n\n[[☃ expression 1]]\n\n\nOn Monday, Gian spent $5$ minutes watching videos. On Tuesday, he spent $25$ minutes watching videos.\n\n\n**Place points on the graph to show Gian's activity for Monday and Tuesday.**\n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=45-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[5,40],[25,20]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,46],[-1,46]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/87/231d10450afe.json b/data/questions/e2/87/231d10450afe.json new file mode 100644 index 0000000000..1c3c7062a0 --- /dev/null +++ b/data/questions/e2/87/231d10450afe.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{7}(x -7)(x +7)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,7],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/8f/9d7e6787b17d.json b/data/questions/e2/8f/9d7e6787b17d.json new file mode 100644 index 0000000000..d33de7f660 --- /dev/null +++ b/data/questions/e2/8f/9d7e6787b17d.json @@ -0,0 +1 @@ +{"content":"Malaya has $4$ books checked out from the library. In the graph below, the variable $b$ represents the number of books Malaya decides to check out on her next library visit (she doesn't return any). The variable $t$ represents the total number of books Malaya has checked out from the library. \n\nThe relationship between these two variables can be expressed by the following equation:\n\n$t = 4+b$\n\n**Plot points on the graph that show the total number of books Malaya will have checked out from the library if she gets $2$ books or $5$ books on her next library visit.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/0adc33600dd34f0872764782894f8f4412e6c200.png":{"height":417,"width":652},"https://ka-perseus-images.s3.amazonaws.com/186d5ac5700527aa67212626c5c5a5e85f5b2294.png":{"height":346,"width":638},"https://ka-perseus-images.s3.amazonaws.com/9414326460bfa10add9710ab23911ba7ed6d78b2.png":{"height":202,"width":395}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[2,6],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\text{New books}","\\text{Total books}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/97/9a4d5f21bc6a.json b/data/questions/e2/97/9a4d5f21bc6a.json new file mode 100644 index 0000000000..72f8543c5f --- /dev/null +++ b/data/questions/e2/97/9a4d5f21bc6a.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{3}{2}(x+8)(x+4)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,6],[-8,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/a4/6bd7914344c1.json b/data/questions/e2/a4/6bd7914344c1.json new file mode 100644 index 0000000000..69eab2f22c --- /dev/null +++ b/data/questions/e2/a4/6bd7914344c1.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=x+3^x$ and let $g(x)=-0.5(x+2)^2+4$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $x+3^x=-0.5(x+2)^2+4$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[-2,4],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/27f164c2c97422a0dddfe2c5d4a12c7ff4b0a2e1","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":0.23},{"maxError":0.5,"message":"ẂẀéè'ŕřéè áàśŝķḱéèďđ ťțóò ḟíìńňďđ ťțĥȟéè ĝǧŕřéèáàťțéèŕř óòḟ ťțĥȟéè ťțẃẁóò śŝóòĺľúùťțíìóòńňśŝ. ŤŢĥȟíìśŝ áàṕṗṕṗŕřóòẍẋíìḿṁáàťțéèśŝ ťțĥȟéè ĺľéèśŝśŝéèŕř śŝóòĺľúùťțíìóòńň. ","simplify":"required","status":"wrong","strict":false,"value":-6.6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/aa/0026514b102d.json b/data/questions/e2/aa/0026514b102d.json new file mode 100644 index 0000000000..c795e2b334 --- /dev/null +++ b/data/questions/e2/aa/0026514b102d.json @@ -0,0 +1 @@ +{"content":"crwdns6902012:0$gcrwdnd6902012:0{3}crwdnd6902012:0{3}crwdne6902012:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-4,-2],[-2.5,-1.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/b5/c0c18123ec4b.json b/data/questions/e2/b5/c0c18123ec4b.json new file mode 100644 index 0000000000..748b7125f0 --- /dev/null +++ b/data/questions/e2/b5/c0c18123ec4b.json @@ -0,0 +1 @@ +{"content":"In a recent gum-chewing contest, Violet tried to blow the biggest blueberry-flavored bubble ever. She started with no gum in her mouth, and every $3$ seconds, she added $1$ piece of gum to form a huge bubble. On the graph below, the $x$-axis represents time (in seconds) and the $y$-axis represents pieces of gum in Violet's bubble. \n\n**Plot points to show how many pieces of gum were in Violet's bubble after $3$, $6$, and $9$ seconds**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,2],[9,3],[3,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/bf/1658170d8e72.json b/data/questions/e2/bf/1658170d8e72.json new file mode 100644 index 0000000000..6ea9134a1c --- /dev/null +++ b/data/questions/e2/bf/1658170d8e72.json @@ -0,0 +1 @@ +{"content":"crwdns2975584:0crwdne2975584:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,9],[0,9],[8,0],[8,-7],[0,-7],[-5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/e2/c4/7f39679a6596.json b/data/questions/e2/c4/7f39679a6596.json new file mode 100644 index 0000000000..98942c892b --- /dev/null +++ b/data/questions/e2/c4/7f39679a6596.json @@ -0,0 +1 @@ +{"content":"**बिन्दु को खींच कर $\\left(3,0\\right)$ को आलेखित करें। **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[3,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/d4/0ee93cb167c7.json b/data/questions/e2/d4/0ee93cb167c7.json new file mode 100644 index 0000000000..bdf01478b0 --- /dev/null +++ b/data/questions/e2/d4/0ee93cb167c7.json @@ -0,0 +1 @@ +{"content":"crwdns4070490:0$ycrwdne4070490:0","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-4],[-6,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/d5/4a3378e6d31c.json b/data/questions/e2/d5/4a3378e6d31c.json new file mode 100644 index 0000000000..445c76bcb7 --- /dev/null +++ b/data/questions/e2/d5/4a3378e6d31c.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-4,-4],[4,-4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/d9/4e31f6b0ae21.json b/data/questions/e2/d9/4e31f6b0ae21.json new file mode 100644 index 0000000000..c1470df167 --- /dev/null +++ b/data/questions/e2/d9/4e31f6b0ae21.json @@ -0,0 +1 @@ +{"content":"crwdns4117383:0$x$crwdnd4117383:0$y$crwdnd4117383:0$x$crwdnd4117383:0$4$crwdnd4117383:0$y$crwdnd4117383:0$x$crwdnd4117383:0$y$crwdnd4117383:0:-:crwdnd4117383:0$0$crwdnd4117383:0$1$crwdnd4117383:0$2$crwdne4117383:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,4],[2,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/dc/5fb4c5d05b6e.json b/data/questions/e2/dc/5fb4c5d05b6e.json new file mode 100644 index 0000000000..c833e3a6ac --- /dev/null +++ b/data/questions/e2/dc/5fb4c5d05b6e.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e1b3449b2152ccdf6a7b44dbf417286ca8ffdb2a","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-3,-5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/de/20956331688c.json b/data/questions/e2/de/20956331688c.json new file mode 100644 index 0000000000..10c70c6296 --- /dev/null +++ b/data/questions/e2/de/20956331688c.json @@ -0,0 +1 @@ +{"content":"For Halloween, Nana makes bags with orange and black candies for her $5$ grandchildren. The points show how many orange candies and how many black candies are in $4$ of the bags. \n\nThe fifth bag has $4$ more orange candies than bag $1$ and $1$ less black candy than bag $2$.\n \n\n**Plot the $5^{\\text{th}}$ bag's candies on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f169bc39a0f689fe6080b3e5985c1d12676ec947","width":400},"correct":{"coords":[[11,12]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/ea/4e03383a02de.json b/data/questions/e2/ea/4e03383a02de.json new file mode 100644 index 0000000000..ed58ac2005 --- /dev/null +++ b/data/questions/e2/ea/4e03383a02de.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $7$, नियम: $1$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $14$, नियम: $2$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[7,14],[8,16],[9,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["7","14"],["8","16"],["9","18"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/ee/33a583ce0229.json b/data/questions/e2/ee/33a583ce0229.json new file mode 100644 index 0000000000..6a7ae06fc3 --- /dev/null +++ b/data/questions/e2/ee/33a583ce0229.json @@ -0,0 +1 @@ +{"content":"Here's a graph of an exponential function $h$.\n\n[[☃ image 1]]\n\n**What's the range of this function?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"A ray of an exponential function is graphed. The x and h of x axes go from negative 10 to 10. There is an open, unfilled circle at the point (negative 3, 2). There is a curve from this point upwards and to the left, ending in an arrow at the edge of the graph.","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3b0f05ece4790532bf09b9bbf51be29e8d3c7377","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$h(x)>2$","correct":true},{"content":"$h(x)<2$","correct":false},{"content":"$h(x) < -3$","correct":false,"isNoneOfTheAbove":false},{"content":"$h(x) > -3$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e2/f3/0abf7071af3e.json b/data/questions/e2/f3/0abf7071af3e.json new file mode 100644 index 0000000000..fd144c47ea --- /dev/null +++ b/data/questions/e2/f3/0abf7071af3e.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(2x-1)(x+3)(x+1)(x-2)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[0.5,0],[-3,0],[-1,0],[2,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/fb/0c090223c981.json b/data/questions/e2/fb/0c090223c981.json new file mode 100644 index 0000000000..7fb8b7e6c3 --- /dev/null +++ b/data/questions/e2/fb/0c090223c981.json @@ -0,0 +1 @@ +{"content":"crwdns6420405:0$ycrwdnd6420405:0{x+1}crwdne6420405:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,7],[10,7]],"coords":[[-2,1],[-1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e2/fe/afd66443cf20.json b/data/questions/e2/fe/afd66443cf20.json new file mode 100644 index 0000000000..d4305e2f08 --- /dev/null +++ b/data/questions/e2/fe/afd66443cf20.json @@ -0,0 +1 @@ +{"content":"**Construct a $15^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.185560572807981,5.18556057280798]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/12/af89153e9085.json b/data/questions/e3/12/af89153e9085.json new file mode 100644 index 0000000000..0d80a5a302 --- /dev/null +++ b/data/questions/e3/12/af89153e9085.json @@ -0,0 +1 @@ +{"content":"crwdns6902026:0$hcrwdnd6902026:0{4}crwdnd6902026:0{4}crwdne6902026:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3,2],[-1,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/21/65829433a4f1.json b/data/questions/e3/21/65829433a4f1.json new file mode 100644 index 0000000000..f4e2667545 --- /dev/null +++ b/data/questions/e3/21/65829433a4f1.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-\\dfrac47$","$\\dfrac27$","$1$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/25/4b9c84f81d6c.json b/data/questions/e3/25/4b9c84f81d6c.json new file mode 100644 index 0000000000..3479e86717 --- /dev/null +++ b/data/questions/e3/25/4b9c84f81d6c.json @@ -0,0 +1 @@ +{"content":"crwdns6727246:0$xcrwdne6727246:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[7,-1],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/25/e38a213f9b00.json b/data/questions/e3/25/e38a213f9b00.json new file mode 100644 index 0000000000..89c799b0d7 --- /dev/null +++ b/data/questions/e3/25/e38a213f9b00.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=5\\cdot\\left(\\dfrac{4}{5}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,5],[1,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/51/e6643008b922.json b/data/questions/e3/51/e6643008b922.json new file mode 100644 index 0000000000..42afab0360 --- /dev/null +++ b/data/questions/e3/51/e6643008b922.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-\\dfrac58$, $0.5$, and $-\\dfrac74$.**\n\n[[☃ radio 1]]","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/e0142eeacb92753243aae0c2c70d7262f8bf5483)\n","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa171d21dbcf86ed9c34a88bc65496c809bd207e)","correct":true},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/91256fd3d1b74a2e56b0fc04d89a04a0f8c2b260)","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/52/8183726559de.json b/data/questions/e3/52/8183726559de.json new file mode 100644 index 0000000000..fbbeb78254 --- /dev/null +++ b/data/questions/e3/52/8183726559de.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/09a643bd9d7abbbb37243c5f0f2b545d2d8cbcdd","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon"},"correct":{"type":"polygon","coords":[[-4,-4],[-2,0],[-6,-5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/58/6eb660106572.json b/data/questions/e3/58/6eb660106572.json new file mode 100644 index 0000000000..a8c7e1feff --- /dev/null +++ b/data/questions/e3/58/6eb660106572.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bf508f2ea0530b3f4821c9e9f4fa74db09bd4e12","width":425},"correct":{"coords":[[2,2],[-5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/5b/908bc3667872.json b/data/questions/e3/5b/908bc3667872.json new file mode 100644 index 0000000000..dbe39414f2 --- /dev/null +++ b/data/questions/e3/5b/908bc3667872.json @@ -0,0 +1 @@ +{"content":"Line segment $\\overline{LA}$ is rotated $-270^\\circ$ about the point $(3,-3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/43a8afcf62dd7a3df9a95e6da4d06e4dc6e70cc6","width":425},"correct":{"coords":[[[8,-4],[6,1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/63/fb7b0e70cfe4.json b/data/questions/e3/63/fb7b0e70cfe4.json new file mode 100644 index 0000000000..dd9b7c261d --- /dev/null +++ b/data/questions/e3/63/fb7b0e70cfe4.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2(x-2)^2+2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[2,2],[1,4]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/71/a2aaff04491f.json b/data/questions/e3/71/a2aaff04491f.json new file mode 100644 index 0000000000..97b38e39d8 --- /dev/null +++ b/data/questions/e3/71/a2aaff04491f.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक चतुर्भुज बनाएँ जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−7.5, 0), (0,6.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.5,0],[0,6.5],[-7.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/84/c58e28449913.json b/data/questions/e3/84/c58e28449913.json new file mode 100644 index 0000000000..0002f74aea --- /dev/null +++ b/data/questions/e3/84/c58e28449913.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(4,8)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/a2/b5385af41018.json b/data/questions/e3/a2/b5385af41018.json new file mode 100644 index 0000000000..ea01267583 --- /dev/null +++ b/data/questions/e3/a2/b5385af41018.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=2\\sin(\\pi x-3\\pi)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[3,-4],[3.5,-2]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/af/b9f39c862420.json b/data/questions/e3/af/b9f39c862420.json new file mode 100644 index 0000000000..fe7fa0736e --- /dev/null +++ b/data/questions/e3/af/b9f39c862420.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=x^2+4x+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-3],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/b3/1ff731bcf8b3.json b/data/questions/e3/b3/1ff731bcf8b3.json new file mode 100644 index 0000000000..6de4d2cf69 --- /dev/null +++ b/data/questions/e3/b3/1ff731bcf8b3.json @@ -0,0 +1 @@ +{"content":"crwdns4070168:0$gcrwdne4070168:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[0,1],[1,-7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/b5/203c8f5d3ea8.json b/data/questions/e3/b5/203c8f5d3ea8.json new file mode 100644 index 0000000000..e73dfdddc1 --- /dev/null +++ b/data/questions/e3/b5/203c8f5d3ea8.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x+7|-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-7,-1],[0,6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/b5/79760694621e.json b/data/questions/e3/b5/79760694621e.json new file mode 100644 index 0000000000..93633945e0 --- /dev/null +++ b/data/questions/e3/b5/79760694621e.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=4\\log_3(-x-3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[-3,-10],[-3,10]],"coords":[[-4,0],[-6,4]],"type":"logarithm"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/d0/cd86089c1b31.json b/data/questions/e3/d0/cd86089c1b31.json new file mode 100644 index 0000000000..bedfe0c345 --- /dev/null +++ b/data/questions/e3/d0/cd86089c1b31.json @@ -0,0 +1 @@ +{"content":"\"You've fallen into my trap!\" Justin shouts, laughing like the madman he is. The mouse he captured stares back at him indifferently as it munches on a piece of cheese at the bottom of a box whose base measures $12\\text{ cm}$ by $12\\text{ cm}$.\n\n**Move the points on the grid below to draw the base of the box in which the mouse is trapped.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5765d94c0e367262dcdad789b19cf10f4deecb04.png","width":400},"correct":{"coords":[[9,-9],[9,9],[-9,9],[-9,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/d4/668966cbd0b3.json b/data/questions/e3/d4/668966cbd0b3.json new file mode 100644 index 0000000000..03cae80f78 --- /dev/null +++ b/data/questions/e3/d4/668966cbd0b3.json @@ -0,0 +1 @@ +{"content":"Is the following statement true or false?\n\nThe point $(-6,8)$ is a solution of the inequality represented by the graph below.\n\n[[☃ radio 1]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/e1dc9aa1bb93f0e86b19a8445868983517ba23ea)\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e1dc9aa1bb93f0e86b19a8445868983517ba23ea":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e3/de/ee4ada3d5a11.json b/data/questions/e3/de/ee4ada3d5a11.json new file mode 100644 index 0000000000..5428602398 --- /dev/null +++ b/data/questions/e3/de/ee4ada3d5a11.json @@ -0,0 +1 @@ +{"content":"The table uses the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $2$\n\nPattern $y$: Starting number: $4$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$ \n[[☃ numeric-input 1]] | $5$ \n$12$ | $6$\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"numeric-input 1":{"options":{"static":false,"answers":[{"value":10,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","rightAlign":false},"type":"numeric-input","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":12,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 4":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":6,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,20],[-2,20]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[8,4],[10,5],[12,6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/e7/3168ca780d95.json b/data/questions/e3/e7/3168ca780d95.json new file mode 100644 index 0000000000..5447411467 --- /dev/null +++ b/data/questions/e3/e7/3168ca780d95.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/09a643bd9d7abbbb37243c5f0f2b545d2d8cbcdd","width":425},"correct":{"coords":[[-4,-4],[-2,0],[-6,-5]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/e9/1b54d507babe.json b/data/questions/e3/e9/1b54d507babe.json new file mode 100644 index 0000000000..39dfb59680 --- /dev/null +++ b/data/questions/e3/e9/1b54d507babe.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=4\\cdot\\left(\\dfrac{3}{2}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,6],[0,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/eb/4171aa867171.json b/data/questions/e3/eb/4171aa867171.json new file mode 100644 index 0000000000..487779b994 --- /dev/null +++ b/data/questions/e3/eb/4171aa867171.json @@ -0,0 +1 @@ +{"content":"crwdns3354909:0$m$crwdnd3354909:0$z_1$crwdnd3354909:0$z_2$crwdne3354909:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6e834c3703876b88680734fb85b73bd56c6174e1","width":430},"correct":{"coords":[[-5.5,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/eb/ae080cc8bf80.json b/data/questions/e3/eb/ae080cc8bf80.json new file mode 100644 index 0000000000..2510c32185 --- /dev/null +++ b/data/questions/e3/eb/ae080cc8bf80.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(9,0)$.** \n$$ \n\n\n[[☃ image 1]]\n\n**What is located $4$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled A is 9 units to the right of and 4 units down from the origin. A solid point, labeled B, is 1 unit to the right of and 1 unit up from the origin. A solid point labeled C is 4 units to the left of and 9 units up from the origin.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/52892ba80119f4cc02f253786c518862bc8b9d77","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":true},{"content":"Point $B$","correct":false},{"content":"Point $C$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/ed/ad0e201d0d6c.json b/data/questions/e3/ed/ad0e201d0d6c.json new file mode 100644 index 0000000000..2045f8fd40 --- /dev/null +++ b/data/questions/e3/ed/ad0e201d0d6c.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 5|x-3|-8, ~~\\text{Domain}~~[0,5]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":-8},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[0,7],[3,-8]],[[3,-8],[5,2]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/e3/f6/7f0548c72064.json b/data/questions/e3/f6/7f0548c72064.json new file mode 100644 index 0000000000..988a184768 --- /dev/null +++ b/data/questions/e3/f6/7f0548c72064.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{3}{2}(x+8)(x+4)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-6,6],[-8,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/fb/b590ca4a0f28.json b/data/questions/e3/fb/b590ca4a0f28.json new file mode 100644 index 0000000000..32ab6d7fde --- /dev/null +++ b/data/questions/e3/fb/b590ca4a0f28.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $10$, $24$, and $26.$**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.209493269066344,-1.319053443751842],[-6.900855032808261,22.18754479187196],[-5.779587214272669,-1.786248368141674]],"match":"similar","showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[5,5],"labels":["□","□"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e3/fe/a84aaee8e32b.json b/data/questions/e3/fe/a84aaee8e32b.json new file mode 100644 index 0000000000..e2cf994674 --- /dev/null +++ b/data/questions/e3/fe/a84aaee8e32b.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 4|x-2|-6, ~~\\text{Domain}~~[-1,5]$\n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-6"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-1,6],[2,-6]],[[2,-6],[5,6]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/e4/01/9f0f875c57e0.json b/data/questions/e4/01/9f0f875c57e0.json new file mode 100644 index 0000000000..2e9a5607c4 --- /dev/null +++ b/data/questions/e4/01/9f0f875c57e0.json @@ -0,0 +1 @@ +{"content":"crwdns4070497:0$gcrwdnd4070497:0{1}crwdnd4070497:0{3}crwdne4070497:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,3],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/02/16778ad3d8ca.json b/data/questions/e4/02/16778ad3d8ca.json new file mode 100644 index 0000000000..01b16ea555 --- /dev/null +++ b/data/questions/e4/02/16778ad3d8ca.json @@ -0,0 +1 @@ +{"content":"crwdns3462808:0$gcrwdne3462808:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,3],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/03/d3e029548b23.json b/data/questions/e4/03/d3e029548b23.json new file mode 100644 index 0000000000..542cd31828 --- /dev/null +++ b/data/questions/e4/03/d3e029548b23.json @@ -0,0 +1 @@ +{"content":"crwdns5507273:0$x$crwdnd5507273:0$-1$crwdnd5507273:0$y$crwdnd5507273:0$8$crwdne5507273:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,8],[2,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["crwdns5507289:0{days}crwdne5507289:0","crwdns5507292:0{dollars}crwdne5507292:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/0e/617d1ca8ed2f.json b/data/questions/e4/0e/617d1ca8ed2f.json new file mode 100644 index 0000000000..d71f450f5b --- /dev/null +++ b/data/questions/e4/0e/617d1ca8ed2f.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=4\\cdot\\left(\\dfrac{3}{2}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,6],[0,4]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/0f/63875fe01d83.json b/data/questions/e4/0f/63875fe01d83.json new file mode 100644 index 0000000000..5ed1d88892 --- /dev/null +++ b/data/questions/e4/0f/63875fe01d83.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-4\\cos\\left(x\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[1,3],[0,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/1b/67cc49e80014.json b/data/questions/e4/1b/67cc49e80014.json new file mode 100644 index 0000000000..967c314c0f --- /dev/null +++ b/data/questions/e4/1b/67cc49e80014.json @@ -0,0 +1 @@ +{"content":"The figure below shows three sides of an incomplete pentagon. \n\n**Using the movable line segments below, connect points A and D to one of the black points to finish building a pentagon that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a309d068b766fd494de1621f0d3c5f958469a276","scale":"1","bottom":"0","left":"0","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,9],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"segment","numSegments":2},"correct":{"type":"segment","numSegments":2,"coords":[[[8,5],[5,1]],[[8,5],[5.5,5]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/1d/aadd965a6e67.json b/data/questions/e4/1d/aadd965a6e67.json new file mode 100644 index 0000000000..bd20020c64 --- /dev/null +++ b/data/questions/e4/1d/aadd965a6e67.json @@ -0,0 +1 @@ +{"content":"[Q2] Consider the following trigonometric function:\n\n$\\qquad f(x)=4\\sin(0.5x+\\pi)-3$\n\n**Graph $f(x)$ in the interactive widget.**\n\nhint: the function has a midline of $y = -3$, a period of $4\\pi$, a local maximum at $(-\\pi, 1)$, and a local minimum at $(\\pi, -7)$.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-4,-3],[-2,1]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/24/0b7c8f174f34.json b/data/questions/e4/24/0b7c8f174f34.json new file mode 100644 index 0000000000..b31084b4d2 --- /dev/null +++ b/data/questions/e4/24/0b7c8f174f34.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-0.25(x+4)^2-1.5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-4,-1.5],[0,-5.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-5.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-1.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/39/59564696b16b.json b/data/questions/e4/39/59564696b16b.json new file mode 100644 index 0000000000..3fbf511695 --- /dev/null +++ b/data/questions/e4/39/59564696b16b.json @@ -0,0 +1 @@ +{"content":"Lindsay catches a fish. She then measures the fish and finds its length to be $\\dfrac{1}{5}$ of her own height. Lindsay is $150\\text{ cm}$ tall.\n\n**Move the points on the grid below to create a segment representing the length of Lindsay's fish.**\n\n(show a scale on the grid below that's 3 grid spaces to 10 cm)\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/baa622e01ed66790f58df2d0bbb22f225670eb31.png","width":400},"correct":{"coords":[[7,-9],[7,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/4b/098f4712a96c.json b/data/questions/e4/4b/098f4712a96c.json new file mode 100644 index 0000000000..d741576de2 --- /dev/null +++ b/data/questions/e4/4b/098f4712a96c.json @@ -0,0 +1 @@ +{"content":"A doctor studying nutrition collected data on the weights (in kilograms) of infants in North Africa. The table below shows the mean weights for infants of different ages in the study.\n \n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Age (months)** | $1$ | $2$ | $3$ | $4$ | $5$ | $6$\n**Weight (kg)** | $4.25$ | $5.0$ | $5.75$ | $6.25$ | $6.75$ |$7.0$\n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,4.25],[2,5],[3,5.75],[4,6.25],[5,6.75],[6,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,0.5],"labels":["$\\text{Age}$","$\\text{Weight}$"],"markings":"graph","range":[[-0.5,7],[-1,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/54/aa2e9eaea9a6.json b/data/questions/e4/54/aa2e9eaea9a6.json new file mode 100644 index 0000000000..6ada28fabd --- /dev/null +++ b/data/questions/e4/54/aa2e9eaea9a6.json @@ -0,0 +1 @@ +{"content":"crwdns2975597:0crwdne2975597:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.5,0],[0,6.5],[-7.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/e4/62/a3cefdc7290d.json b/data/questions/e4/62/a3cefdc7290d.json new file mode 100644 index 0000000000..592d81f33a --- /dev/null +++ b/data/questions/e4/62/a3cefdc7290d.json @@ -0,0 +1 @@ +{"content":"**Graph $x=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-7,7],[-7,7]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[4,4],[4,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/6b/8800fd54daba.json b/data/questions/e4/6b/8800fd54daba.json new file mode 100644 index 0000000000..fe970d1a90 --- /dev/null +++ b/data/questions/e4/6b/8800fd54daba.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(0, 9), (8, 0), (0, -7), (-5, 0), (-5, 9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,9],[8,0],[0,-7],[-5,0],[-5,9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/e4/6e/82de1bce796b.json b/data/questions/e4/6e/82de1bce796b.json new file mode 100644 index 0000000000..6e89630c8e --- /dev/null +++ b/data/questions/e4/6e/82de1bce796b.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/752cf457cbd5ffccb2083eeb8c2c95ce8b617a9a","width":425},"correct":{"coords":[[1,-3],[1,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/82/552a62f79c14.json b/data/questions/e4/82/552a62f79c14.json new file mode 100644 index 0000000000..bdfae0e794 --- /dev/null +++ b/data/questions/e4/82/552a62f79c14.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $\\dfrac14$ that contains the point $(6,3)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[6,3],[2,2]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/91/25e85e39caa2.json b/data/questions/e4/91/25e85e39caa2.json new file mode 100644 index 0000000000..03b6077338 --- /dev/null +++ b/data/questions/e4/91/25e85e39caa2.json @@ -0,0 +1 @@ +{"content":"The graph of the function $f(x)=-\\dfrac{1}{4}x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=-\\dfrac{1}{4}(x+3)^2$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-3,0],[-1,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/950389501cb3ba2f3708c314114bf9fac36fa80d","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/91/71904ae0727e.json b/data/questions/e4/91/71904ae0727e.json new file mode 100644 index 0000000000..8b3d0c9383 --- /dev/null +++ b/data/questions/e4/91/71904ae0727e.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/189b44a485844e57a098744db13741694173ac16","width":425},"correct":{"coords":[[-3,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/9b/440ee04d26e4.json b/data/questions/e4/9b/440ee04d26e4.json new file mode 100644 index 0000000000..ed3b9b6f6d --- /dev/null +++ b/data/questions/e4/9b/440ee04d26e4.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\sin\\left(\\dfrac{\\pi}{2}x\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,2],[1,-1]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/a4/227e3134d2fb.json b/data/questions/e4/a4/227e3134d2fb.json new file mode 100644 index 0000000000..7c35703b17 --- /dev/null +++ b/data/questions/e4/a4/227e3134d2fb.json @@ -0,0 +1 @@ +{"content":"crwdns4070166:0$gcrwdne4070166:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,-4],[6,-6]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/a7/4004335c5235.json b/data/questions/e4/a7/4004335c5235.json new file mode 100644 index 0000000000..d5a9853128 --- /dev/null +++ b/data/questions/e4/a7/4004335c5235.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $\\left(7\\dfrac12,-2\\right)$, $(-3,7)$, and $(2,0)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[7.5,-2],[-3,7],[2,0]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/af/aa0fd317e004.json b/data/questions/e4/af/aa0fd317e004.json new file mode 100644 index 0000000000..08619fcee0 --- /dev/null +++ b/data/questions/e4/af/aa0fd317e004.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $MOST$ is rotated $-180^\\circ$ about the point $(4,3)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4f989290e7148fe9e3a2292cb06ce738d5b93d9c","width":425},"correct":{"coords":[[-1,3],[-1,8],[1,7],[1,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/b2/87c10d09a584.json b/data/questions/e4/b2/87c10d09a584.json new file mode 100644 index 0000000000..f7282d81d9 --- /dev/null +++ b/data/questions/e4/b2/87c10d09a584.json @@ -0,0 +1 @@ +{"content":"The graph below contains rhombus $ABCD$ and the point $P$. \n \n**Draw the image of $ABCD$ under a dilation whose center is $P$ and scale factor is $3$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the sides of $ABCD$ and its image?** \n\nThe sides of $ABCD$ are [[☃ input-number 1]] units long, and the sides of its image are [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":15},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/0a8613b582ddea6012601f6f64bb70f85b0504b3.png","width":425},"correct":{"coords":[[12,0],[0,9],[-12,0],[0,-9]],"numSides":4,"showAngles":false,"type":"polygon"},"graph":{"numSides":4,"showAngles":false,"type":"polygon"},"gridStep":[2,1],"labels":["x","y"],"markings":"none","range":[[-14,14],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/c0/b6c3198711c1.json b/data/questions/e4/c0/b6c3198711c1.json new file mode 100644 index 0000000000..bf91b19c25 --- /dev/null +++ b/data/questions/e4/c0/b6c3198711c1.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1eb68d0c4f945072381d1cac9e146878e74f2762","width":400},"correct":{"coords":[[5,-1],[5,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,6],[-5,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":24}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/c3/7674acb9095f.json b/data/questions/e4/c3/7674acb9095f.json new file mode 100644 index 0000000000..17ce474799 --- /dev/null +++ b/data/questions/e4/c3/7674acb9095f.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{x=3y-12}$\n\n$\\qquad\\pink{x + 6=-y}$\n\n**Create a new equation by substituting $x$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=1.5"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3e53f37bc8c8220a13b6b2ad967cf4807f1b8aaa.png","width":425},"correct":{"coords":[[-3,1.5],[3,1.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/c6/15f710fbba6f.json b/data/questions/e4/c6/15f710fbba6f.json new file mode 100644 index 0000000000..ae65a95785 --- /dev/null +++ b/data/questions/e4/c6/15f710fbba6f.json @@ -0,0 +1 @@ +{"content":"**Graph the point $(0,?)$ that is a solution to the equation:**\n\n$y-1=2(x+3)$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,7]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/d0/71251e7f5cf9.json b/data/questions/e4/d0/71251e7f5cf9.json new file mode 100644 index 0000000000..de3b85e350 --- /dev/null +++ b/data/questions/e4/d0/71251e7f5cf9.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = -5|x+3|+9, ~~\\text{Domain}~~[-5,0]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-3"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[-3,9],[0,-6]],[[-5,-1],[-3,9]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/e4/d5/1cb5c25f9b84.json b/data/questions/e4/d5/1cb5c25f9b84.json new file mode 100644 index 0000000000..9ba5168bf7 --- /dev/null +++ b/data/questions/e4/d5/1cb5c25f9b84.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+7)^2+(y-5)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-7,5],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/da/d770c65932cd.json b/data/questions/e4/da/d770c65932cd.json new file mode 100644 index 0000000000..4f38cf0cb3 --- /dev/null +++ b/data/questions/e4/da/d770c65932cd.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Subtract $2$ from $x$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$8$ | [[☃ numeric-input 1]]\n$6$ | [[☃ numeric-input 2]]\n$4$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,2],[6,4],[8,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/db/9c63de82176c.json b/data/questions/e4/db/9c63de82176c.json new file mode 100644 index 0000000000..b9b24735ae --- /dev/null +++ b/data/questions/e4/db/9c63de82176c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+4)^2+(y-2)^2=36$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-4,2],"radius":6,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/e1/34c0476cfc89.json b/data/questions/e4/e1/34c0476cfc89.json new file mode 100644 index 0000000000..368ae1c100 --- /dev/null +++ b/data/questions/e4/e1/34c0476cfc89.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4(x +6)(x +4)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-4],[-6,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/e4/ae4215f7121b.json b/data/questions/e4/e4/ae4215f7121b.json new file mode 100644 index 0000000000..3c1b6b2fc2 --- /dev/null +++ b/data/questions/e4/e4/ae4215f7121b.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-36$|$9$|$-4$|$49$|$25$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c1e77d0168fc4d747bc83bb33db236932a5d1fbf","width":400},"correct":{"coords":[[[-5,6],[5,5]],[[-5,3],[5,-1]],[[-5,0],[5,2]],[[-5,-3],[5,-7]],[[-5,-6],[5,-4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e4/e9/8b52573f27b3.json b/data/questions/e4/e9/8b52573f27b3.json new file mode 100644 index 0000000000..70b635fcee --- /dev/null +++ b/data/questions/e4/e9/8b52573f27b3.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x +2y +41=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[7,-1],"radius":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/f6/a0e21992b5c3.json b/data/questions/e4/f6/a0e21992b5c3.json new file mode 100644 index 0000000000..cf102a7067 --- /dev/null +++ b/data/questions/e4/f6/a0e21992b5c3.json @@ -0,0 +1 @@ +{"content":"**Construct a $10^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.559354702894409,4.6648524807823755]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e4/f8/294dad3f2ec9.json b/data/questions/e4/f8/294dad3f2ec9.json new file mode 100644 index 0000000000..d954ea2e35 --- /dev/null +++ b/data/questions/e4/f8/294dad3f2ec9.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6e834c3703876b88680734fb85b73bd56c6174e1","width":430},"correct":{"coords":[[-5.5,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/06/b9f7192bd607.json b/data/questions/e5/06/b9f7192bd607.json new file mode 100644 index 0000000000..ebba2ad16b --- /dev/null +++ b/data/questions/e5/06/b9f7192bd607.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x ,y +3)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4bc1c0e73ed49e8e70bae7ff5227364d41b6a892","width":425},"correct":{"coords":[[0,3],[-6,5],[-4,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/12/4e29b34bf4ec.json b/data/questions/e5/12/4e29b34bf4ec.json new file mode 100644 index 0000000000..01a5f5cf81 --- /dev/null +++ b/data/questions/e5/12/4e29b34bf4ec.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=\\dfrac{1}{2}x+6\n\\\\\\\\\ny=-\\dfrac{1}{4}x+3\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"lockedFigures":[],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"coords":[[[0,6],[2,7]],[[4,2],[0,3]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/25/e0983ff5d2e2.json b/data/questions/e5/25/e0983ff5d2e2.json new file mode 100644 index 0000000000..725d760047 --- /dev/null +++ b/data/questions/e5/25/e0983ff5d2e2.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0fa61c4b55d56b8509bb4d7dfd3e79d0ca6b238e","width":425},"correct":{"coords":[[2,-6],[6,0],[0,-7]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/27/69bdb8a98248.json b/data/questions/e5/27/69bdb8a98248.json new file mode 100644 index 0000000000..05598cf6af --- /dev/null +++ b/data/questions/e5/27/69bdb8a98248.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw a right triangle with right angle at $(8,6)$, and hypotenuse extending from $(0,14)$ to $(-10,-12)$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,14],[8,6],[-10,-12]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["□","□"],"markings":"graph","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/28/f03b9413bd23.json b/data/questions/e5/28/f03b9413bd23.json new file mode 100644 index 0000000000..202a10a2fc --- /dev/null +++ b/data/questions/e5/28/f03b9413bd23.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{4}{3}x+8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,8],[3,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/3a/3497d5b215ec.json b/data/questions/e5/3a/3497d5b215ec.json new file mode 100644 index 0000000000..b8cf182416 --- /dev/null +++ b/data/questions/e5/3a/3497d5b215ec.json @@ -0,0 +1 @@ +{"content":"Leah took her friends for a ride in her hot air balloon. The function $f$ models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.\n\n**Plot the point on the graph of $f$ that corresponds to when the hot air balloon landed.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[10,50],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1d1a2f83f78c1c774d6b0aca26dd8aaa1b6540e7","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,80],[-50,500]],"gridStep":[5,50],"snapStep":[5,25],"graph":{"type":"point"},"correct":{"type":"point","coords":[[60,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/44/5af6a045322c.json b/data/questions/e5/44/5af6a045322c.json new file mode 100644 index 0000000000..7ade4d61bd --- /dev/null +++ b/data/questions/e5/44/5af6a045322c.json @@ -0,0 +1 @@ +{"content":"**Graph the following system of linear equations and determine the number of its solutions.**\n\n$\\qquad 8x-2y=18$\n\n$\\qquad 12x-3y=27$\n\n[[☃ radio 1]]\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,-9],[1,-5]],[[1,-5],[0,-9]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":false},{"content":"No solutions","correct":false},{"content":"Infinitely many solutions","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/59/993e74c0c0c1.json b/data/questions/e5/59/993e74c0c0c1.json new file mode 100644 index 0000000000..f17ee1bb14 --- /dev/null +++ b/data/questions/e5/59/993e74c0c0c1.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the triangle by connecting two black points.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f63ceb348f447318484b079be697d96c9b7f112e.png","width":400},"correct":{"coords":[[-6,-6],[7,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/66/ea2ef4da4562.json b/data/questions/e5/66/ea2ef4da4562.json new file mode 100644 index 0000000000..a8be42f8df --- /dev/null +++ b/data/questions/e5/66/ea2ef4da4562.json @@ -0,0 +1 @@ +{"content":"Aidan is participating in an $8$-mile walk for his favorite charity. The walk organizers plotted the course on a coordinate map. The starting point is at $(3,1)$, and the ending point is at $(3,9)$. There's a water station at $(3,7)$ to make sure the walkers stay hydrated.\n\n**Plot the starting point, ending point, and water station on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far along will Aidan be in the walk when he reaches the water station?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"4","height":0,"left":"0","scale":"1","url":"","width":0},"correct":{"coords":[[3,1],[3,7],[3,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"ĹĽéèśŝśŝ ťțĥȟáàńň ĥȟáàĺľḟẃẁáàý ťțĥȟŕřóòúùĝǧĥȟ ťțĥȟéè ẃẁáàĺľķḱ","correct":false},{"content":"ĤȞáàĺľḟẃẁáàý ťțĥȟŕřóòúùĝǧĥȟ ťțĥȟéè ẃẁáàĺľķḱ","correct":false},{"content":"ḾṀóòŕřéè ťțĥȟáàńň ĥȟáàĺľḟẃẁáàý ťțĥȟŕřóòúùĝǧĥȟ ťțĥȟéè ẃẁáàĺľķḱ","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e5/72/da67d83240db.json b/data/questions/e5/72/da67d83240db.json new file mode 100644 index 0000000000..cab175830e --- /dev/null +++ b/data/questions/e5/72/da67d83240db.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/73cc2534df19a4e0f4ac484fd53f88a3434703dd","width":425},"correct":{"coords":[[2,-2],[-8,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/7a/ef31a530ba04.json b/data/questions/e5/7a/ef31a530ba04.json new file mode 100644 index 0000000000..84c81900b1 --- /dev/null +++ b/data/questions/e5/7a/ef31a530ba04.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $9$, Rule: add $3$\n\nPattern $y$: Starting number: $3$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$9$ | $3$ \n$12$ | $4$ \n[[☃ numeric-input 1]] | $5$\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"numeric-input 1":{"options":{"static":false,"answers":[{"value":15,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","rightAlign":false},"type":"numeric-input","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":4,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":15,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 4":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,20],[-2,20]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[9,3],[12,4],[15,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/81/a8b960a0512f.json b/data/questions/e5/81/a8b960a0512f.json new file mode 100644 index 0000000000..a8067f2184 --- /dev/null +++ b/data/questions/e5/81/a8b960a0512f.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot 2^{x-4}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"exponential","asymptote":[[-10,0],[10,0]],"coords":[[4,-3],[5,-6]]},"availableTypes":["exponential"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/83/3490e31dd6b9.json b/data/questions/e5/83/3490e31dd6b9.json new file mode 100644 index 0000000000..bf096f43f8 --- /dev/null +++ b/data/questions/e5/83/3490e31dd6b9.json @@ -0,0 +1 @@ +{"content":"**What is the vertex of the graph of $f(x)=-\\dfrac{6}{5}(x-1)(x-6)$?**\n\n$($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$)$\n\n**Graph the function.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3.5,7.5],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7.5}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/86/7cc7026caff7.json b/data/questions/e5/86/7cc7026caff7.json new file mode 100644 index 0000000000..ff06d33e35 --- /dev/null +++ b/data/questions/e5/86/7cc7026caff7.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{5}x^2+2x-1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,4],[0,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/8a/cf69aa33e7bb.json b/data/questions/e5/8a/cf69aa33e7bb.json new file mode 100644 index 0000000000..c1476774d3 --- /dev/null +++ b/data/questions/e5/8a/cf69aa33e7bb.json @@ -0,0 +1 @@ +{"content":"crwdns6359031:0{cases}crwdnd6359031:0{cases}crwdnd6359031:0$xcrwdnd6359031:0$xcrwdne6359031:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdd8c09b75ce567647a237a18c1ffbf56b9c4780","width":400},"correct":{"center":[0,0],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3212737:0crwdne3212737:0","correct":true},{"content":"crwdns3077513:0crwdne3077513:0","correct":true,"isNoneOfTheAbove":false},{"content":"crwdns3380590:0crwdne3380590:0","correct":false,"isNoneOfTheAbove":false},{"content":"crwdns6358915:0crwdne6358915:0","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e5/8b/3a0400d804ae.json b/data/questions/e5/8b/3a0400d804ae.json new file mode 100644 index 0000000000..c883d95e42 --- /dev/null +++ b/data/questions/e5/8b/3a0400d804ae.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{2}{3}x^2+4x+4$\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,-2],[0,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/99/39a782d32dd8.json b/data/questions/e5/99/39a782d32dd8.json new file mode 100644 index 0000000000..7aba6b9470 --- /dev/null +++ b/data/questions/e5/99/39a782d32dd8.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bf508f2ea0530b3f4821c9e9f4fa74db09bd4e12","width":425},"correct":{"coords":[[2,2],[-5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/9a/0b8199d920bb.json b/data/questions/e5/9a/0b8199d920bb.json new file mode 100644 index 0000000000..8fbedfd1a2 --- /dev/null +++ b/data/questions/e5/9a/0b8199d920bb.json @@ -0,0 +1 @@ +{"content":"crwdns3458197:0crwdne3458197:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/9b/199179b2fa34.json b/data/questions/e5/9b/199179b2fa34.json new file mode 100644 index 0000000000..ef47fe29b0 --- /dev/null +++ b/data/questions/e5/9b/199179b2fa34.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\sin\\left(\\dfrac{\\pi}{4} x+\\dfrac{3\\pi}{4}\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3,2],[-1,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/a0/a29f55e1ef67.json b/data/questions/e5/a0/a29f55e1ef67.json new file mode 100644 index 0000000000..7226c7119e --- /dev/null +++ b/data/questions/e5/a0/a29f55e1ef67.json @@ -0,0 +1 @@ +{"content":"crwdns4070496:0$gcrwdne4070496:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,6],[2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/a7/0c620be53064.json b/data/questions/e5/a7/0c620be53064.json new file mode 100644 index 0000000000..84c4d94c37 --- /dev/null +++ b/data/questions/e5/a7/0c620be53064.json @@ -0,0 +1 @@ +{"content":"crwdns3396753:0{A}crwdnd3396753:0{B}crwdne3396753:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":false},{"content":"crwdns2731610:0crwdne2731610:0","correct":false},{"content":"crwdns2731612:0crwdne2731612:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/9d0b14f85f71aad5488abb536a89caa5a285518f.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[-1.9127597142317452,-1.9127597142317443],[2,2],[6.763219140870667,-9.221441081957153]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/be/6208db19fb20.json b/data/questions/e5/be/6208db19fb20.json new file mode 100644 index 0000000000..a1fcdec695 --- /dev/null +++ b/data/questions/e5/be/6208db19fb20.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $A$ and scale factor is $4$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6b03f1d1befcee0e0d3c18b5b613dc05957f8db9","width":400},"correct":{"coords":[[-6,-2],[6,-2],[-6,6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/c7/06780550f0a6.json b/data/questions/e5/c7/06780550f0a6.json new file mode 100644 index 0000000000..6729d3b735 --- /dev/null +++ b/data/questions/e5/c7/06780550f0a6.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$1.4$|$2.8$|$4.2$|$5.6$\n$y$|$0$|$1$|$2$|$3$|$4$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.7142857142857143},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/c7/f219f1423fcd.json b/data/questions/e5/c7/f219f1423fcd.json new file mode 100644 index 0000000000..fb1d10056f --- /dev/null +++ b/data/questions/e5/c7/f219f1423fcd.json @@ -0,0 +1 @@ +{"content":"###Prod Example: Test angle snapping with angles showing###\n\n**Drag the vertices of the triangle below to draw a triangle with $45^\\circ$, $35^\\circ$, and $100^\\circ$ angles.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-2.7317170022188737,-8.607482496997033],[2.9204199736582312,8.285714285714286],[-6.364571590277721,3.65623545014836]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/c8/1a27a6772bc0.json b/data/questions/e5/c8/1a27a6772bc0.json new file mode 100644 index 0000000000..2efc29a33b --- /dev/null +++ b/data/questions/e5/c8/1a27a6772bc0.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x^2+4x+3)(x^2-4)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-1,0],[-2,0],[2,0],[-3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/d4/9928fa6d299a.json b/data/questions/e5/d4/9928fa6d299a.json new file mode 100644 index 0000000000..e3f74e9554 --- /dev/null +++ b/data/questions/e5/d4/9928fa6d299a.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-:|-:|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$3$|$1$|$2$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2c7a57e7fa4207a6bffefcb44f24df2568adb3de","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,4]],[[-5,-6],[5,1]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e5/d8/db05463b62d9.json b/data/questions/e5/d8/db05463b62d9.json new file mode 100644 index 0000000000..e9190bfa70 --- /dev/null +++ b/data/questions/e5/d8/db05463b62d9.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dcd77847734e898c7fd96701bcbeb116be06bf1","width":400},"correct":{"coords":[[-1,-6],[-2,-7],[-4,-3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/f6/205cc44ec650.json b/data/questions/e5/f6/205cc44ec650.json new file mode 100644 index 0000000000..978087d693 --- /dev/null +++ b/data/questions/e5/f6/205cc44ec650.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2ecbb186c9758ec80dcb3563f14eadcffe8960be","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-1,-2],[3,-2],[-6,-7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/f8/f48eb3aa743d.json b/data/questions/e5/f8/f48eb3aa743d.json new file mode 100644 index 0000000000..683c60fc72 --- /dev/null +++ b/data/questions/e5/f8/f48eb3aa743d.json @@ -0,0 +1 @@ +{"content":"The answer is either $5$ or $6$.\n\n**What could it be???**\n\n[[☃ numeric-input 1]]\n\nGraph $y=x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear","absolute_value","exponential","sinusoid","quadratic","tangent"],"correct":{"coords":[[0,0],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"ÝÓÒÚÙ ÁÀŔŘÉÈ ÁÀ ĜǦÓÒĎĐ.","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"ŃŇóò. Ýóòúù áàŕřéè áà śŝťțúùṕṗíìďđ íìďđíìóòťț.","simplify":"required","status":"wrong","strict":false,"value":6},{"maxError":null,"message":"ẂẀĤȞÁÀŤŢ ÎÏŚŜ ẂẀŔŘÓÒŃŇĜǦ ẂẀÎÏŤŢĤȞ ÝÓÒÚÙ","simplify":"required","status":"wrong","strict":false,"value":5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e5/fc/7667857d460b.json b/data/questions/e5/fc/7667857d460b.json new file mode 100644 index 0000000000..90e74fac92 --- /dev/null +++ b/data/questions/e5/fc/7667857d460b.json @@ -0,0 +1 @@ +{"content":"crwdns3458200:0crwdne3458200:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3882567:0{Re}crwdne3882567:0","crwdns3882566:0{Im}crwdne3882566:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/0c/4bd85639cc76.json b/data/questions/e6/0c/4bd85639cc76.json new file mode 100644 index 0000000000..e34fce88f0 --- /dev/null +++ b/data/questions/e6/0c/4bd85639cc76.json @@ -0,0 +1 @@ +{"content":"The following two equations form a linear system.\n\n$\\qquad y=-3x-7$\n\n$\\qquad y=x+9$\n\n**Graph the system of equations and find its solution.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[-1,-4],[0,-7]],[[-1,8],[0,9]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-4}],"coefficient":false,"labelText":"","size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/0d/c6b5b2a2ee0c.json b/data/questions/e6/0d/c6b5b2a2ee0c.json new file mode 100644 index 0000000000..348de651e4 --- /dev/null +++ b/data/questions/e6/0d/c6b5b2a2ee0c.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=2\\cos\\left(\\dfrac{\\pi}{5}x-\\dfrac{2\\pi}{5}\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4.5,-4],[2,-2]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/17/cb8547e3c687.json b/data/questions/e6/17/cb8547e3c687.json new file mode 100644 index 0000000000..21b8f11b33 --- /dev/null +++ b/data/questions/e6/17/cb8547e3c687.json @@ -0,0 +1 @@ +{"content":"The graph below contains the line $\\overleftrightarrow{AB}$ and the point $P$. \n \n**Draw the image of $\\overleftrightarrow{AB}$ under a dilation whose center is $P$ and scale factor is $2$.** \n \n[[☃ interactive-graph 1]]\n \n**Choose the correct description for the image of $\\overleftrightarrow{AB}$.** \n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/622667e8f3736fb120a3ed3409b4a74ba4c8d267.png","width":425},"correct":{"coords":[[2,-4],[6,-8]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The image is the same line as $\\overleftrightarrow{AB}$.","correct":false},{"content":"The image is a line different from $\\overleftrightarrow{AB}$ but parallel to it.","correct":true},{"content":"The image is a line perpendicular to $\\overleftrightarrow{AB}$.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/19/1b98918d3ff0.json b/data/questions/e6/19/1b98918d3ff0.json new file mode 100644 index 0000000000..85306ccac9 --- /dev/null +++ b/data/questions/e6/19/1b98918d3ff0.json @@ -0,0 +1 @@ +{"content":"मीनाक्षी दलिया बनाने के लिए तीन समूह बनाती है उसे नुस्खा तैयार करने के लिए निम्नलिखित अनुपात में चीनी की मात्रा (कप में) और आटा (कप में) लेनी पड़ती है\n\n ||||\n-:|-:|-:|-:\n|**समूह $1$**|**समूह $2$**|**समूह $3$**\n चीनी के कप|$2$|$3$|$4$\n आटे के कप|$4\\dfrac{1}{2}$|$6\\dfrac{3}{4}$|$9$\n\n**$(x)$ के संबंध में $(y)$ की परिवर्तन की इकाई दर क्या है?** जैसा कि, *एक* चीनी का कप कितने आटे के समान है?\n\n परिवर्तन की इकाई दर[[☃ input-number 1]] है I\n\n\n**आलेख ऊपर आनुपातिक संबंध का विवरण देता है, $x$-निर्देशांक चीनी के कप दर्शाता है ,और $y$-निर्देशां आटे के कप दर्शाता हैI**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2.25},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[4,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/1c/c0236d9bd662.json b/data/questions/e6/1c/c0236d9bd662.json new file mode 100644 index 0000000000..5734b706ed --- /dev/null +++ b/data/questions/e6/1c/c0236d9bd662.json @@ -0,0 +1 @@ +{"content":"आलेख पर रेखा खींचे जो संपत्ति के साथ $d$ और $t$ में आनुपातिक संबंध दर्शाती है इस कारण $t$ की $5$ इकाई में वृद्धि $d$ की $8$ इकाई में हुई वृद्धि के समान हैI\n\n** $t$ के संबंध में $d$ की परिवर्तन की इकाई दर क्या है? **(यह है कि, $t$ में परिवर्तन की $1$ इकाई $d$ में परिवर्तन की कितनी इकाई के समान होगी?) \n\n परिवर्तन की इकाई दर [[☃ input-number 1]] हैI \n\n** संबंधों का आलेख बनाएं I**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1.6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":"0","scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[5,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/1f/99d73d728d9d.json b/data/questions/e6/1f/99d73d728d9d.json new file mode 100644 index 0000000000..4deaefb315 --- /dev/null +++ b/data/questions/e6/1f/99d73d728d9d.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ce6e17bb98b84e3d159b78908154fd56120914a6","width":425},"correct":{"coords":[[7,-4],[-7,7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/25/75ad11eddf25.json b/data/questions/e6/25/75ad11eddf25.json new file mode 100644 index 0000000000..97691b53c5 --- /dev/null +++ b/data/questions/e6/25/75ad11eddf25.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw an isosceles triangle with two $70^\\circ$ angles.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[7.538737563125787,2.7098296192522313],[5.082901227686044,9.463379541711511],[2.6230827941030186,2.711278984446311]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/28/e9e2ad9d2d47.json b/data/questions/e6/28/e9e2ad9d2d47.json new file mode 100644 index 0000000000..f09bc350a2 --- /dev/null +++ b/data/questions/e6/28/e9e2ad9d2d47.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a reflection across the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/48a4f7d258d34b65626e17c807062914a87f8a3d","width":425},"correct":{"coords":[[-3,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/2a/c512a2f8a55a.json b/data/questions/e6/2a/c512a2f8a55a.json new file mode 100644 index 0000000000..63700fcaac --- /dev/null +++ b/data/questions/e6/2a/c512a2f8a55a.json @@ -0,0 +1 @@ +{"content":"अमित को गर्मियों में डेयरी में नौकरी मिलती हैI उसे पहले तीन दिन नौकरी में निम्नलिखित राशि का भुगतान किया जाता है (उसे प्रतिदिन घंटो के हिसाब से समान राशि दी जाती है)\n\n |दिन $1$|दिन $2$|दिन $3$\n-:|-:|-:|-:\nकाम किए गए घंटे|$6$|$9$|$7$\nमूल्य दिया गया|$\\$57.00$|$\\$85.50$|$\\$66.50$\n\n**अमित की समय के संबंध में डॉलर की परिवर्तन की *इकाई दर* क्या है; जैसा कि, उसे *एक* घंटा काम करने पर कितना दिया गया? **\n\n इकाई दर [[☃ input-number 1]] डॉलर प्रति घंटा\n\n**आलेख ऊपर आनुपातिक संबंध का विवरण देता है, $x$-निर्देशांक काम किए हुए घंटे दर्शाता है ,और $y$-निर्देशांक डॉलर के भुगतान को दर्शाता है**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":9.5},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[1,9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/3a/75f00f2f5f54.json b/data/questions/e6/3a/75f00f2f5f54.json new file mode 100644 index 0000000000..ea03ca9331 --- /dev/null +++ b/data/questions/e6/3a/75f00f2f5f54.json @@ -0,0 +1 @@ +{"content":"We want to solve the following system of equations:\n\n$\\begin{cases}\n2x+y=-4\n\\\\\\\\\ny=(x+1)^2-2\n\\end{cases}$\n\nThe line given by $2x+y=-4$ is graphed.\n\n**1) Draw the parabola given by $y=(x+1)^2-2$ in the interactive graph.**\n\n[[☃ grapher 1]]\n\n**2) Select all solutions to the system.**\n\n[[☃ radio 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,-2],[-3,2]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9c25a8a6c9a7ae2ea141c9600a531aeec545ea27","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(-3,2)$","correct":true},{"content":"$(-2,0)$","isNoneOfTheAbove":false},{"content":"$(-1,-2)$","correct":true,"isNoneOfTheAbove":false},{"content":"$(0,-4)$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e6/3a/7d954ae5181b.json b/data/questions/e6/3a/7d954ae5181b.json new file mode 100644 index 0000000000..8fbd5eb8fa --- /dev/null +++ b/data/questions/e6/3a/7d954ae5181b.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-4\\log_2(x-5)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"logarithm","asymptote":[[5,-10],[5,10]],"coords":[[7,-4],[6,0]]},"availableTypes":["logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/40/79fe5e0e9962.json b/data/questions/e6/40/79fe5e0e9962.json new file mode 100644 index 0000000000..ec99a4c549 --- /dev/null +++ b/data/questions/e6/40/79fe5e0e9962.json @@ -0,0 +1 @@ +{"content":"**Graph $9x+15y=45$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/60/2ca2a81bb08d.json b/data/questions/e6/60/2ca2a81bb08d.json new file mode 100644 index 0000000000..dcad5a4f39 --- /dev/null +++ b/data/questions/e6/60/2ca2a81bb08d.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=6|x |-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[0,-4],[1,2]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/68/2f38624a407e.json b/data/questions/e6/68/2f38624a407e.json new file mode 100644 index 0000000000..31932af1ee --- /dev/null +++ b/data/questions/e6/68/2f38624a407e.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(-6,1)$ and has a slope of $5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[-6,1],[-5,6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/70/bc577df9edcb.json b/data/questions/e6/70/bc577df9edcb.json new file mode 100644 index 0000000000..f37928d4a3 --- /dev/null +++ b/data/questions/e6/70/bc577df9edcb.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4a8bd89b7039929192cdde289cd5075fe421921a","width":425},"correct":{"coords":[[-16,-3],[8,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-20,20],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2,1],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/7f/ec63f4e2305c.json b/data/questions/e6/7f/ec63f4e2305c.json new file mode 100644 index 0000000000..5354dee6d4 --- /dev/null +++ b/data/questions/e6/7f/ec63f4e2305c.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $-\\dfrac58$, $0.5$, and $-\\dfrac74$.**\n\n[[☃ radio 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/32362418a8aa2bbf5a7ca8927f5134ee375448cb":{"height":80,"width":460}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 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plot the final point after reflecting point $A$ across the $x$-axis and then across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/322d32857bc0796c0f54a12d973b3f2218c12894","width":400},"correct":{"coords":[[-7,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/8c/ca4cd7ffc8cc.json b/data/questions/e6/8c/ca4cd7ffc8cc.json new file mode 100644 index 0000000000..855e83434b --- /dev/null +++ b/data/questions/e6/8c/ca4cd7ffc8cc.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-1,-3)$, and which has the point $(-7,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-1,-3],"radius":6,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/8d/f6ec8b632f5b.json b/data/questions/e6/8d/f6ec8b632f5b.json new file mode 100644 index 0000000000..4dd9193a05 --- /dev/null +++ b/data/questions/e6/8d/f6ec8b632f5b.json @@ -0,0 +1 @@ +{"content":"At the gym, Abby rode a stationary bike that displayed her heart rate. She decided to record her heart rate at different intervals, and then used the line $y = 2.5x + 85$ to model her heart rate as a function of the number of minutes that she had biked. The table below shows the residuals generated by this model. \n\n**In the table below, calculate the data values for each point. Then plot the data on the graph below.** \n\n**Would an exponential or quadratic model be a better fit for the data?** [[☃ dropdown 1]] \n\n | | | || ||\n- | - | -\n**Number of minutes** |$0$ | $10$| $20$ | $30$ | $40$|$50$\n**Residual value** | $-5$ | $10$| $10$ | $0$| $-15$|$-35$\n**Heart Rate** | [[☃ input-number 1]] | [[☃ input-number 2]]| [[☃ input-number 3]]| [[☃ input-number 4]]|[[☃ input-number 5]]|[[☃ input-number 6]] \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}]},"type":"dropdown"},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":80},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":120},"type":"input-number"},"input-number 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1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,80],[50,175],[10,120],[20,145],[30,160],[40,170]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"graph","range":[[-5,55],[75,180]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,2.5],"step":[5,10]},"type":"interactive-graph"}}} diff --git a/data/questions/e6/91/3ee1645da1f9.json b/data/questions/e6/91/3ee1645da1f9.json new file mode 100644 index 0000000000..cb77a1b920 --- /dev/null +++ b/data/questions/e6/91/3ee1645da1f9.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 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4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/669509f133e4a77531d2db92c9769d07b20962e9","width":425},"correct":{"coords":[[[9,6],[5,4]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/a1/7cfd27596b03.json b/data/questions/e6/a1/7cfd27596b03.json new file mode 100644 index 0000000000..353e78951c --- /dev/null +++ b/data/questions/e6/a1/7cfd27596b03.json @@ -0,0 +1 @@ +{"content":"Graph the following inequality:\n\n$\\qquad y < \\dfrac{5}{3}x-4$\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side button* \n\n*Solid/dashed line button*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle 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/dev/null +++ b/data/questions/e6/a3/18ab0229f79e.json @@ -0,0 +1 @@ +{"content":"Consider this number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/d7f753af808719e2cd876bb3a71775c740799da2)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]] \n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/21a5dbf0b76e53f1b4099881764584b79fc72af6.png":{"height":239,"width":131},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d7f753af808719e2cd876bb3a71775c740799da2":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 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diff --git a/data/questions/e6/bd/ee3a9e7ecde5.json b/data/questions/e6/bd/ee3a9e7ecde5.json new file mode 100644 index 0000000000..0eca99a857 --- /dev/null +++ b/data/questions/e6/bd/ee3a9e7ecde5.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\dfrac{5}{3}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of \n$\\dfrac{5}{3}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[3,5],[0,0]]}},"version":{"major":0,"minor":0}},"expression 1":{"type":"expression","alignment":"default","static":false,"graded":true,"options":{"answerForms":[{"value":"y=5/3x","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/e6/c4/ce15191ee726.json b/data/questions/e6/c4/ce15191ee726.json new file mode 100644 index 0000000000..15674a9e5e --- /dev/null +++ b/data/questions/e6/c4/ce15191ee726.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a quadrilateral with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.5,0],[0,6.5],[-7.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/e6/d5/e3963a80b39e.json b/data/questions/e6/d5/e3963a80b39e.json new file mode 100644 index 0000000000..a1f1b5561b --- /dev/null +++ b/data/questions/e6/d5/e3963a80b39e.json @@ -0,0 +1 @@ +{"content":"**Graph $x=2$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[2,4],[2,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/d8/6faf433aa2f3.json b/data/questions/e6/d8/6faf433aa2f3.json new file mode 100644 index 0000000000..f6ba400a6d --- /dev/null +++ b/data/questions/e6/d8/6faf433aa2f3.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-4(x+2)^2-1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-1],[-3,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/dd/ba18e977ee48.json b/data/questions/e6/dd/ba18e977ee48.json new file mode 100644 index 0000000000..55670b2ed1 --- /dev/null +++ b/data/questions/e6/dd/ba18e977ee48.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $16$ units\n\n\n- Its amplitude is $6$ units\n\n\n- It intersects its midline at $(-2,3.5)$ and then decreases\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-2,3.5],[2,-2.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/e4/b18c255d333f.json b/data/questions/e6/e4/b18c255d333f.json new file mode 100644 index 0000000000..82b964bc29 --- /dev/null +++ b/data/questions/e6/e4/b18c255d333f.json @@ -0,0 +1 @@ +{"content":"Last year, Charles earned $50$ points in the Wellness Competition at work. This year, his goal is to at least double his point total from last year. Charles earns $5$ points for each mile he runs and $2$ points for each mile he bikes.\n\n**Write an *inequality* that represents the number of miles Charles needs to run $(R)$ and bike $(B)$ to achieve his point goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $R$ on the horizontal axis and $B$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Charles runs $12$ miles $(R)$, which of the following numbers of miles can he bike $(B)$ to meet or exceed the point goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"5R+2B>=100","form":false,"simplify":false,"considered":"correct","key":0},{"value":"5r+2b\\ge100","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[5,10],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["R","B"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,30],[-5,55]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,50],[20,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$20$","correct":true},{"content":"$22$","correct":true},{"content":"$25$","correct":true},{"content":"$27$","correct":true},{"content":"$30$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/e6/323afe2a2839.json b/data/questions/e6/e6/323afe2a2839.json new file mode 100644 index 0000000000..e3ac20a894 --- /dev/null +++ b/data/questions/e6/e6/323afe2a2839.json @@ -0,0 +1 @@ +{"content":"crwdns3144293:0{RUN}crwdne3144293:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/208b64fd396332df8499a6e47af0f2512532ece6","width":425},"correct":{"coords":[[-8,8],[0,7],[0,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/e6/ff9b8eb26135.json b/data/questions/e6/e6/ff9b8eb26135.json new file mode 100644 index 0000000000..e2f4c549db --- /dev/null +++ b/data/questions/e6/e6/ff9b8eb26135.json @@ -0,0 +1 @@ +{"content":"**Graph a parabola whose $x$-intercepts are at $x=-3$ and $x=5$ and whose minimum value is $y=-4$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-4],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/e8/3a1e8e9fbe16.json b/data/questions/e6/e8/3a1e8e9fbe16.json new file mode 100644 index 0000000000..345f6117b4 --- /dev/null +++ b/data/questions/e6/e8/3a1e8e9fbe16.json @@ -0,0 +1 @@ +{"content":"**Check the graph and graph the point's coordinates in the boxes below.**\n\n[[☃ interactive-graph 1]]\n\nx = [[☃ numeric-input 1]], y = [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"none"},"graph":{"type":"none"},"labels":["x","y"],"lockedFigures":[{"color":"grayH","coord":[-2,3],"filled":true,"labels":[],"type":"point"}],"markings":"graph","range":[[-10,10],[-10,10]],"showProtractor":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"Textbox for x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"Textbox for y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/ec/7da551384563.json b/data/questions/e6/ec/7da551384563.json new file mode 100644 index 0000000000..6765091345 --- /dev/null +++ b/data/questions/e6/ec/7da551384563.json @@ -0,0 +1 @@ +{"content":"Part-time employees at a small business get paid hourly wages based on how many years they have worked at the business.\n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Years worked** | $0$ | $1$ | $2$ | $3$ | $4$\n**Hourly wage** | $\\$5.50$ | $\\$6.50$ | $\\$7.00$ | $\\$7.50$ | $\\$7.50$ \n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,6.5],[0,5.5],[2,7],[3,7.5],[4,7.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["$\\text{Years}$","$\\text{Wage}$"],"markings":"graph","range":[[-0.5,5],[-1,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/ed/61e784d22b2d.json b/data/questions/e6/ed/61e784d22b2d.json new file mode 100644 index 0000000000..b19c7cd7f2 --- /dev/null +++ b/data/questions/e6/ed/61e784d22b2d.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/af8be92be5a4cac420c1b4dc3024aefb5219297e","width":400},"correct":{"coords":[[-6,7],[5,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e6/f3/7f163ebf1cd9.json b/data/questions/e6/f3/7f163ebf1cd9.json new file mode 100644 index 0000000000..0381339439 --- /dev/null +++ b/data/questions/e6/f3/7f163ebf1cd9.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{29} \\left( \\cos(248 \\degree) + i\\sin(248 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[-2,-5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/19/8218f425e5ab.json b/data/questions/e7/19/8218f425e5ab.json new file mode 100644 index 0000000000..f2d46bfb89 --- /dev/null +++ b/data/questions/e7/19/8218f425e5ab.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-3(x+6)^2+3$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-6,3],[-5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-6},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-5},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-7}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/20/c3a7f2fd7883.json b/data/questions/e7/20/c3a7f2fd7883.json new file mode 100644 index 0000000000..c33d8e0310 --- /dev/null +++ b/data/questions/e7/20/c3a7f2fd7883.json @@ -0,0 +1 @@ +{"content":"**On the graph below, use the two points to draw a line through the point $(-3,-5)$ that will create a system of equations with *no* solutions.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/aaeaf9289d752b3a5c028369f239602fa7f7eee5.png","width":425},"correct":{"coords":[[0,-1],[-3,-5]],"type":"linear"},"graph":{"type":"linear"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/e7/22/9f1fc154c448.json b/data/questions/e7/22/9f1fc154c448.json new file mode 100644 index 0000000000..a4c2a83a3c --- /dev/null +++ b/data/questions/e7/22/9f1fc154c448.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=-4x-5\n\\\\\\\\\ny=-2x+1\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,1],[1,-1]],[[0,-5],[-1,-1]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-3}],"coefficient":false,"labelText":"x coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"y coordinate","rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/38/1b6edcb23cf6.json b/data/questions/e7/38/1b6edcb23cf6.json new file mode 100644 index 0000000000..2382ac6aef --- /dev/null +++ b/data/questions/e7/38/1b6edcb23cf6.json @@ -0,0 +1 @@ +{"content":"Agent Hunt transferred classified files from the CIA mainframe onto his flash drive. The flash drive already had $60$ megabytes on it before the transfer, and an additional $4$ megabytes were transferred onto it each second.\n\n**Graph the relationship between the size of the files on Agent Hunt's drive (in megabytes) and time (in seconds).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[0,60],[10,100]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/536b8327e2ebd8568acde6ac745d94478b7453b1","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,20],"labels":["□□□□ (□□□□□□□)","□□□□□ (□□□□□□□□□)"],"markings":"none","range":[[-10,100],[-40,400]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,20],"step":[10,40],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/45/348e6c65d26b.json b/data/questions/e7/45/348e6c65d26b.json new file mode 100644 index 0000000000..c80e565d4c --- /dev/null +++ b/data/questions/e7/45/348e6c65d26b.json @@ -0,0 +1 @@ +{"content":"**Breaking of glass can be classified into which type of change?**\n\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"explanation 1":{"options":{"explanation":"explanation goes here\n\nmore explanation","hidePrompt":"Hide explanation","showPrompt":"Explain","widgets":{}},"type":"explanation","version":{"major":0,"minor":0}},"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"matrix 1":{"options":{"answers":[[]],"cursorPosition":[0,0],"matrixBoardSize":[3,3],"prefix":"","suffix":""},"type":"matrix","version":{"major":0,"minor":0}},"measurer 1":{"options":{"box":[480,480],"image":{},"rulerLabel":"","rulerLength":10,"rulerPixels":40,"rulerTicks":10,"showProtractor":true,"showRuler":false},"type":"measurer","version":{"major":1,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Slow change","correct":false},{"clue":"Breaking of glass is a fast change because it happens suddenly and quickly.","content":"Fast change","correct":true},{"clue":"Breaking of glass is not a reversible change; once the glass is broken, it cannot be returned to its original state.","content":"Reversible change","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}},"transformer 1":{"alignment":"default","graded":true,"options":{"correct":{"shape":{"coords":[[2,2],[2,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"drawSolutionShape":true,"gradeEmpty":false,"graph":{"backgroundImage":{"url":null},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"dynamic","starting":{"shape":{"coords":[[2,2],[-5,6],[7,2]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":true,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[2,-4],[2,2]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":true,"required":false},"translation":{"constraints":{},"enabled":true,"required":false}},"version":1.2},"static":false,"type":"transformer","version":{"major":0,"minor":0}},"video 1":{"options":{"location":""},"type":"video","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/45/6857e89e5178.json b/data/questions/e7/45/6857e89e5178.json new file mode 100644 index 0000000000..9de17fad4a --- /dev/null +++ b/data/questions/e7/45/6857e89e5178.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=5\\sin\\left(\\dfrac{\\pi}{2} x-\\pi\\right)+3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[2,3],[3,8]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/48/5ad8eabbb102.json b/data/questions/e7/48/5ad8eabbb102.json new file mode 100644 index 0000000000..d106ed0fc1 --- /dev/null +++ b/data/questions/e7/48/5ad8eabbb102.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ का प्रतिबिंब रेखा $\\ell$ पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e8901a77c39d9c986e6cf364a7dab1fc7732568c","width":400},"correct":{"coords":[[6,4],[7,6],[5,5],[6,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/53/015f9d14f7e8.json b/data/questions/e7/53/015f9d14f7e8.json new file mode 100644 index 0000000000..8419dd53f8 --- /dev/null +++ b/data/questions/e7/53/015f9d14f7e8.json @@ -0,0 +1 @@ +{"content":"An engineer studying fuel usage collected data on the speed a car traveled (in kilometers per hour) and how much fuel it used (in liters per $100$ kilometers). \n \n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Speed (km/h)** | $10$ | $30$ | $50$ | $70$ | $90$ | $110$\n**Fuel used $($liters per $100\\,\\text{km})$** | $21$ | $10$ | $7$ | $6$ | $8$ |$9$\n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[10,21],[30,10],[50,7],[70,6],[90,8],[110,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,1],"labels":["$\\text{Speed}$","$\\text{Fuel used}$"],"markings":"graph","range":[[-10,120],[-2,22]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,1],"step":[10,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/56/5e2f20edd5d6.json b/data/questions/e7/56/5e2f20edd5d6.json new file mode 100644 index 0000000000..675dc1e38f --- /dev/null +++ b/data/questions/e7/56/5e2f20edd5d6.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw an isosceles triangle with vertices at $(0,5)$ and $(-8,0)$, and a side measuring $10$ units on the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5],[-8,0],[0,-5]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/7b/c99cc9869b92.json b/data/questions/e7/7b/c99cc9869b92.json new file mode 100644 index 0000000000..0554712acf --- /dev/null +++ b/data/questions/e7/7b/c99cc9869b92.json @@ -0,0 +1 @@ +{"content":"crwdns4115387:0$x$crwdne4115387:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/09a643bd9d7abbbb37243c5f0f2b545d2d8cbcdd","width":425},"correct":{"coords":[[-4,-4],[-2,0],[-6,-5]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/a0/e2023a9e2fde.json b/data/questions/e7/a0/e2023a9e2fde.json new file mode 100644 index 0000000000..541a09e0bb --- /dev/null +++ b/data/questions/e7/a0/e2023a9e2fde.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{5}x^2+2x-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,1],[0,-4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/a0/f089761160d9.json b/data/questions/e7/a0/f089761160d9.json new file mode 100644 index 0000000000..920966fb80 --- /dev/null +++ b/data/questions/e7/a0/f089761160d9.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bd76a18ef43056feffb77bd55d6424ec66bed01f","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,1],[6,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/a1/fa3ba9d141b8.json b/data/questions/e7/a1/fa3ba9d141b8.json new file mode 100644 index 0000000000..429737eaab --- /dev/null +++ b/data/questions/e7/a1/fa3ba9d141b8.json @@ -0,0 +1 @@ +{"content":"Jai's school is located at $3^{\\text{rd}}$ Avenue and $10^{\\text{th}}$ Street, represented by the point $(3,10)$ on the map below. His soccer practice takes place at $9^{\\text{th}}$ Avenue and $2^{\\text{nd}}$ Street, represented by $(9, 2)$ on the map. To get to soccer practice after school, he walks down $3^{\\text{rd}}$ Avenue then over on $2^{\\text{nd}}$ Street.\n\n**Plot Jai's school and his soccer practice field on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Jai walk to get to soccer practice after school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":14},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,10],[9,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/bc/4ff6506e7e7e.json b/data/questions/e7/bc/4ff6506e7e7e.json new file mode 100644 index 0000000000..7fddb0c531 --- /dev/null +++ b/data/questions/e7/bc/4ff6506e7e7e.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1aa858afa68530210704235a0134a165b4b66d43","width":400},"correct":{"coords":[[-6,-7],[1,-4],[-3,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/c6/bd9d08a84695.json b/data/questions/e7/c6/bd9d08a84695.json new file mode 100644 index 0000000000..9a8abd491c --- /dev/null +++ b/data/questions/e7/c6/bd9d08a84695.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=8|x +1|-1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-1,-1],[0,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/ce/597b6be55621.json b/data/questions/e7/ce/597b6be55621.json new file mode 100644 index 0000000000..b406f38d91 --- /dev/null +++ b/data/questions/e7/ce/597b6be55621.json @@ -0,0 +1 @@ +{"content":"We want to find the intersection points of the graphs given by the following system of equations:\n\n$\\begin{cases}\nx+y=2\n\\\\\\\\\nx^2+y^2=4\n\\end{cases}$\n\nThe line given by $x+y=2$ is graphed.\n\n**1) Draw the circle given by $x^2+y^2=4$ in the interactive graph.**\n\n[[☃ interactive-graph 1]]\n\n**2) Select all intersection points.**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a72273fab34b04034330809c910db7d2d2c476f8","width":400},"correct":{"center":[0,0],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$(2,2)$","correct":false},{"content":"$(1,1)$","correct":false,"isNoneOfTheAbove":false},{"content":"$(0,2)$","correct":true,"isNoneOfTheAbove":false},{"content":"$(2,0)$","correct":true,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e7/d3/0ebedff73b1d.json b/data/questions/e7/d3/0ebedff73b1d.json new file mode 100644 index 0000000000..841a947f07 --- /dev/null +++ b/data/questions/e7/d3/0ebedff73b1d.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{D}$, and the other line goes through points $\\text{B}$ and $\\text{C}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/2dcad382bef4cdbd86d157552f4625a8b5668b34.png","width":400},"box":[340,340],"correct":{"coords":[[[-7,7],[7,-7]],[[-7,-7],[7,7]]],"type":"linear-system"},"editableSettings":["graph","snap","image","measure"],"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/e7/7180ad048680.json b/data/questions/e7/e7/7180ad048680.json new file mode 100644 index 0000000000..357c709de9 --- /dev/null +++ b/data/questions/e7/e7/7180ad048680.json @@ -0,0 +1 @@ +{"content":"बिंदुओं के किसी भी युग्म को एक रेखा के द्वारा जोड़ा जा सकता है। \n\n**काले बिंदुओं के युग्मों को इस प्रकार जोड़िए कि इससे बनने वाली रेखा डैश वाली रेखा के लंबवत हो।**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cf40e13479f90447d50a3af2fc8aa18aa6dd1e5b","width":400},"correct":{"coords":[[8.5,2.5],[-2,-8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/f5/39f5797a7b1f.json b/data/questions/e7/f5/39f5797a7b1f.json new file mode 100644 index 0000000000..a712139430 --- /dev/null +++ b/data/questions/e7/f5/39f5797a7b1f.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-1(x-3)^2+4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,4],[2,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e7/f8/886fca4ecae6.json b/data/questions/e7/f8/886fca4ecae6.json new file mode 100644 index 0000000000..ccd6e9f830 --- /dev/null +++ b/data/questions/e7/f8/886fca4ecae6.json @@ -0,0 +1 @@ +{"content":"Roudy talks to a friend on the phone while walking his dog each day.\n\nHe recorded the distance of his walk (in kilometers) and how long (in minutes) his phone call took for five days this week.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Distance (km)** | $2.5$ | $3.0$ | $1.5$ | $4.0$ | $3.5$\n**Time (min)** | $22$ | $25$ | $15$ | $30$ | $28$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"box":[288,288],"correct":{"coords":[[2.5,22],[3,25],[1.5,15],[4,30],[3.5,28]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,1],"labels":["$\\text{Distance}$","$\\text{Time}$"],"markings":"graph","range":[[-1,10],[-2,35]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/12/220c4c146753.json b/data/questions/e8/12/220c4c146753.json new file mode 100644 index 0000000000..563cddc562 --- /dev/null +++ b/data/questions/e8/12/220c4c146753.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=\\dfrac{2}{3}(x-3)^2+1$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[3,1],[0,7]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/21/dd6ad983b3ee.json b/data/questions/e8/21/dd6ad983b3ee.json new file mode 100644 index 0000000000..917d2263bf --- /dev/null +++ b/data/questions/e8/21/dd6ad983b3ee.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an obtuse angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]\n\nThis is an obtuse angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":false},{"content":"□□□□□□□ □□□□","correct":true},{"content":"□□□□ □□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/807ea77cf7031c1b9a45694083f05b5e09b01946.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[0.4505926282126178,-7.7732344408449485],[-2,-2],[3.7959835753335547,3.795983575333554]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/23/4571f786654f.json b/data/questions/e8/23/4571f786654f.json new file mode 100644 index 0000000000..35b848c8bf --- /dev/null +++ b/data/questions/e8/23/4571f786654f.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/638cefe8d43eebe8202c18841362fcc9f9a39889","width":430},"correct":{"coords":[[3,1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/2b/0c4be7244647.json b/data/questions/e8/2b/0c4be7244647.json new file mode 100644 index 0000000000..42e47d00b7 --- /dev/null +++ b/data/questions/e8/2b/0c4be7244647.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(5,8)$ and $(5,3)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,10],[-1,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[5,3],[5,8]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/3a/c7797b506bd7.json b/data/questions/e8/3a/c7797b506bd7.json new file mode 100644 index 0000000000..fad909e665 --- /dev/null +++ b/data/questions/e8/3a/c7797b506bd7.json @@ -0,0 +1 @@ +{"content":"नीचे दी हुई आकृति, एक अधूरे चतुर्भुज की दो भुजाओं को दर्शाती है। \n \n**नीचे दिए हुए चल-रेखा खंड का प्रयोग करते हुए, बिंदु A और C को किसी एक काले बिंदु से जोड़कर एक ऐसा पूर्ण चतुर्भुज बनाएं जो कि बिंदु वाली रेखा के सममित हो।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":"0","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/668d416edbfdf5e3c31d3ad849d03611b79a3a47","width":400},"correct":{"coords":[[[2,6],[6,5]],[[2,0],[6,5]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-3,7],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/4a/6d8daa7ebea1.json b/data/questions/e8/4a/6d8daa7ebea1.json new file mode 100644 index 0000000000..2a95994e74 --- /dev/null +++ b/data/questions/e8/4a/6d8daa7ebea1.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y= -2\\cdot \\left(\\dfrac13\\right)^{x+1}+7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,7],[10,7]],"coords":[[-2,1],[-1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/56/2c5201008a00.json b/data/questions/e8/56/2c5201008a00.json new file mode 100644 index 0000000000..e3720f8734 --- /dev/null +++ b/data/questions/e8/56/2c5201008a00.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$5$|$4$|$3$|$2$|$1$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd5727c0aa8f813e1fcbdb2cd2a25e224cccde6","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-4]],[[-5,0],[5,-1]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e8/58/fe8381891d59.json b/data/questions/e8/58/fe8381891d59.json new file mode 100644 index 0000000000..108c147898 --- /dev/null +++ b/data/questions/e8/58/fe8381891d59.json @@ -0,0 +1 @@ +{"content":"$\\triangle{TRY}$ is reflected over the line $y=\\dfrac{1}{3}x-2$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f5a1c68977b1b63f59e3d51f2011d059d238db8e","width":400},"correct":{"coords":[[4,2],[7,8],[9,-7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b3726b3334a49c646ff11e6addebfcf5d066d26a","width":425},"correct":{"coords":[[-4,-6],[8,-6],[6,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/216537b0280134b2effc8974548d7217a6742850","width":425},"correct":{"coords":[[1,1],[1,4],[-4,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad75d041b76209ed3528c53beedbb12b7ab94c86","width":425},"correct":{"coords":[[-1,8],[4,3],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2f4342502840839769a07b4a35a13833e4e3cc2f","width":425},"correct":{"coords":[[-7,-1],[5,3],[1,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/5e/5e9da56577b8.json b/data/questions/e8/5e/5e9da56577b8.json new file mode 100644 index 0000000000..d2fea11d57 --- /dev/null +++ b/data/questions/e8/5e/5e9da56577b8.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(5.5,4)$, $(-7,1)$, and $(0,-9)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5.5,4],[0,-9],[-7,1]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/5f/5a9034436b98.json b/data/questions/e8/5f/5a9034436b98.json new file mode 100644 index 0000000000..0818f44f8c --- /dev/null +++ b/data/questions/e8/5f/5a9034436b98.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $2$, Rule: add $3$\n\nPattern $y$: Starting number: $2$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$2$ | $2$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,2],[5,5],[8,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/71/e18a5ab0a4bf.json b/data/questions/e8/71/e18a5ab0a4bf.json new file mode 100644 index 0000000000..d3142b9166 --- /dev/null +++ b/data/questions/e8/71/e18a5ab0a4bf.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{4}{5}x-7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-7],[5,-3]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/7f/8b5d9f54f48d.json b/data/questions/e8/7f/8b5d9f54f48d.json new file mode 100644 index 0000000000..8fc9181eb2 --- /dev/null +++ b/data/questions/e8/7f/8b5d9f54f48d.json @@ -0,0 +1 @@ +{"content":"crwdns3897491:0crwdne3897491:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2cdfd8a6c12b3e25f6a28b14314e10a93729d8b3","width":425},"correct":{"coords":[[-2,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/81/eba07294dcbf.json b/data/questions/e8/81/eba07294dcbf.json new file mode 100644 index 0000000000..04b149dc0c --- /dev/null +++ b/data/questions/e8/81/eba07294dcbf.json @@ -0,0 +1 @@ +{"content":"crwdns3382836:0$7$crwdnd3382836:0$4$crwdne3382836:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea616a3ebe1422bbcfc63c0e9af13f79af9faabb","width":400},"correct":{"coords":[[9,11],[16,7],[9,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-2,17],[-2,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/a3/08ad72567fdf.json b/data/questions/e8/a3/08ad72567fdf.json new file mode 100644 index 0000000000..3a21a28e7f --- /dev/null +++ b/data/questions/e8/a3/08ad72567fdf.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=3x^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,1],[1,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/a8/f1a4f3600d28.json b/data/questions/e8/a8/f1a4f3600d28.json new file mode 100644 index 0000000000..004ecb8b7f --- /dev/null +++ b/data/questions/e8/a8/f1a4f3600d28.json @@ -0,0 +1 @@ +{"content":"Justin's rice ball recipe uses $100$ grams of rice to make $1$ rice ball.\n\n**Complete the table for the given ratio.** \n \nRice balls, $x$ | Rice ($\\text{g}$), $y$ \n:-: | :-: \n$1$ | $100$\n$2$| [[☃ numeric-input 3]]\n$4$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":200,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"grams of rice for 2 rice balls","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 5":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":400,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"grams of rice for 4 rice balls","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,100],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/284c9dcd44c7aae1140c79caf06cdfb8bb794af9","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,6],[-100,600]],"gridStep":[1,50],"snapStep":[1,50],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[2,200],[4,400]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/b0/ef2168288f3f.json b/data/questions/e8/b0/ef2168288f3f.json new file mode 100644 index 0000000000..5209e04340 --- /dev/null +++ b/data/questions/e8/b0/ef2168288f3f.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nTimothy has three friends. The following table shows the distance and time it takes him to drive to each of his friends' houses.\n\n| | |\n- | :-: | :-:| :-:| :-:\nKilometers | $5$ | $11$| $18$ \nMinutes | $10$ | $15$ | $20$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Is the time it takes Timothy to drive to his friends' houses proportional to the distance?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[5,10],[11,15],[18,20]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[2,5],"labels":["$\\text{Km}$","$\\text{Minutes}$"],"markings":"graph","range":[[-4,22],[-4,55]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,5],"step":[2,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Yes","correct":false},{"content":"No","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/e8/b1/371c874a1156.json b/data/questions/e8/b1/371c874a1156.json new file mode 100644 index 0000000000..2e15d0f069 --- /dev/null +++ b/data/questions/e8/b1/371c874a1156.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-5,1)$, and which has the point $(-2,-3)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,1],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/d9/73e7a3ee5db1.json b/data/questions/e8/d9/73e7a3ee5db1.json new file mode 100644 index 0000000000..2210703214 --- /dev/null +++ b/data/questions/e8/d9/73e7a3ee5db1.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/1906928c70f0606c99e4a3ff2f1c7bc067b696c7.png":{"height":241,"width":144},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cb5895668fcb3d5cf5d57d0b3c9baa3ad63eee2c":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["□□□□□","□□□□□"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-\\dfrac47$","$\\dfrac27$","$1$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/e1/3c4cff788666.json b/data/questions/e8/e1/3c4cff788666.json new file mode 100644 index 0000000000..8f3eda9b06 --- /dev/null +++ b/data/questions/e8/e1/3c4cff788666.json @@ -0,0 +1 @@ +{"content":"crwdns3384976:0$1$crwdnd3384976:0$20$crwdne3384976:0","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-1],[2,3],[-3,3],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/e2/f2953a5489bb.json b/data/questions/e8/e2/f2953a5489bb.json new file mode 100644 index 0000000000..7353fe03e9 --- /dev/null +++ b/data/questions/e8/e2/f2953a5489bb.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(-3,-4)$ and $(6,-4)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-3,-4],[6,-4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-9}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/e9/fdf4ca9f1915.json b/data/questions/e8/e9/fdf4ca9f1915.json new file mode 100644 index 0000000000..425959a7eb --- /dev/null +++ b/data/questions/e8/e9/fdf4ca9f1915.json @@ -0,0 +1 @@ +{"content":"You are a civil engineer. You want to create a small scale drawing of a truss section of a bridge. The truss section is an isosceles trapezoid with parallel bases $22\\text{ m}$ and $10\\text{ m}$ and height $8\\text{ m}$.\n\n*An isosceles trapezoid has $4$ sides with $2$ parallel sides and $\\,2$ nonparallel sides equal in length.*\n\n**Create a scale drawing of the truss section using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"","scale":".16","bottom":"37","left":"32","width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-12,12],[-12,12]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","coords":[[11,0],[5,8],[-5,8],[-11,0]],"match":"similar","numSides":4,"showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/f5/0a97b49e3420.json b/data/questions/e8/f5/0a97b49e3420.json new file mode 100644 index 0000000000..f7de22c935 --- /dev/null +++ b/data/questions/e8/f5/0a97b49e3420.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(3,4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e8/fd/a7385761c425.json b/data/questions/e8/fd/a7385761c425.json new file mode 100644 index 0000000000..143d24b1f0 --- /dev/null +++ b/data/questions/e8/fd/a7385761c425.json @@ -0,0 +1 @@ +{"content":"Tara takes her pulse in order to determine her resting heart rate, measured in beats per minute $(\\text{bpm})$. She takes it for three minutes, and makes the following chart of the results. We'll assume that Tara's heart rate is constant over the three-minute period.\n\n\n||||\n-:|-:|-:|-:\nMinutes|$1$|$2$|$3$\nBeats|$60$|$120$|$180$\n\n**Graph the proportional relationship described above, where the $x$-coordinate represents minutes, and the $y$-coordinate represents beats.**\n\n\n\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,11],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,10]},"type":"interactive-graph"}}} diff --git a/data/questions/e9/09/3ef041c796b1.json b/data/questions/e9/09/3ef041c796b1.json new file mode 100644 index 0000000000..e03169b729 --- /dev/null +++ b/data/questions/e9/09/3ef041c796b1.json @@ -0,0 +1 @@ +{"content":"Wayna drew a rectangle with an area of $24$ square units.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $6$ units long.*\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1eb68d0c4f945072381d1cac9e146878e74f2762","width":400,"height":400},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,6],[-5,6]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[5,-1],[5,2],[-3,2],[-3,-1]],"snapTo":"grid","match":"congruent"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/0d/af88d8d135ce.json b/data/questions/e9/0d/af88d8d135ce.json new file mode 100644 index 0000000000..da1d112c1a --- /dev/null +++ b/data/questions/e9/0d/af88d8d135ce.json @@ -0,0 +1 @@ +{"content":"**त्रिभुज $\\triangle ABC$ का प्रतिबिंब $y$-अक्ष पर आलेखित कीजिए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/627679bd8f17701f0bb377ad49543dafc3ef4d14","width":425},"correct":{"coords":[[-2,2],[-2,4],[-5,3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/0e/dc859191a7be.json b/data/questions/e9/0e/dc859191a7be.json new file mode 100644 index 0000000000..f6e8748a08 --- /dev/null +++ b/data/questions/e9/0e/dc859191a7be.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-1\\cdot 2^{1-x}+6$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,6],[10,6]],"coords":[[0,4],[1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/1e/5b532cf5c17d.json b/data/questions/e9/1e/5b532cf5c17d.json new file mode 100644 index 0000000000..9e81a0e0e7 --- /dev/null +++ b/data/questions/e9/1e/5b532cf5c17d.json @@ -0,0 +1 @@ +{"content":"crwdns3396754:0{A}crwdnd3396754:0{B}crwdne3396754:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":false},{"content":"crwdns2731610:0crwdne2731610:0","correct":false},{"content":"crwdns2731612:0crwdne2731612:0","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/807ea77cf7031c1b9a45694083f05b5e09b01946.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[2.2059851900220853,2.2059851900220853],[-2,-2],[-4.973144353700384,5.004289159600586]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/31/ce8fdab6f912.json b/data/questions/e9/31/ce8fdab6f912.json new file mode 100644 index 0000000000..afe8461bcf --- /dev/null +++ b/data/questions/e9/31/ce8fdab6f912.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y=\\dfrac{x}{3}+4}$\n\n$\\qquad\\pink{y+x=-6}$\n\n**Create a new equation by substituting $y$ from the upper equation into the lower equation.** \n(Be sure to expand the new equation and combine like terms.)\n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"x=-7.5"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3e53f37bc8c8220a13b6b2ad967cf4807f1b8aaa.png","width":425},"correct":{"coords":[[-7.5,8],[-7.5,-7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/45/eeec3e01194f.json b/data/questions/e9/45/eeec3e01194f.json new file mode 100644 index 0000000000..67dff48478 --- /dev/null +++ b/data/questions/e9/45/eeec3e01194f.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about the origin $(0,0)$ with a scale factor of $3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/49f97cd8b426879299a8aa88e1b58ffff078205a","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-6,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/5c/0566cf458ca5.json b/data/questions/e9/5c/0566cf458ca5.json new file mode 100644 index 0000000000..f642d060f2 --- /dev/null +++ b/data/questions/e9/5c/0566cf458ca5.json @@ -0,0 +1 @@ +{"content":"**चतुर्भुज $ABCD$ को चतुर्भुज $A'B'C'D'$ पर परावर्तित करने वाली दर्पण रेखा (line of reflection) बनाइए।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/236e5ec455b9b95f4596553cdd50ab16b31681d7","width":425},"correct":{"coords":[[-2,-1],[-2,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/62/89c0aa068e05.json b/data/questions/e9/62/89c0aa068e05.json new file mode 100644 index 0000000000..8bf9c10823 --- /dev/null +++ b/data/questions/e9/62/89c0aa068e05.json @@ -0,0 +1 @@ +{"content":"Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.\n\n ||||\n-:|-:|-:|-:\n|**Batch $1$**|**Batch $2$**|**Batch $3$**\nCups of sugar|$2$|$3$|$4$\nCups of flour|$4\\dfrac{1}{2}$|$6\\dfrac{3}{4}$|$9$\n\n**What is the unit rate of change of flour $(y)$ with respect to sugar $(x)$?** That is, how much flour corresponds to *one* cup of sugar?\n\nThe unit rate of change is [[☃ input-number 1]] .\n\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing cups of sugar, and the $y$-coordinate representing cups of flour.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2.25"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[4,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/66/0c4fdce43342.json b/data/questions/e9/66/0c4fdce43342.json new file mode 100644 index 0000000000..525099f696 --- /dev/null +++ b/data/questions/e9/66/0c4fdce43342.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (5.5, 5.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":"unlimited","snapTo":"grid"},"correct":{"type":"polygon","numSides":"unlimited","coords":[[-7.5,0],[0,6.5],[5.5,5.5],[6.5,0],[0,-4.5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/75/aa5f74e439ba.json b/data/questions/e9/75/aa5f74e439ba.json new file mode 100644 index 0000000000..e50048b83e --- /dev/null +++ b/data/questions/e9/75/aa5f74e439ba.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ddf981ea31cd07ed4b9607c46fedd7e451e3e513","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[0,-7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/78/97cb8abe848e.json b/data/questions/e9/78/97cb8abe848e.json new file mode 100644 index 0000000000..8bfccadf85 --- /dev/null +++ b/data/questions/e9/78/97cb8abe848e.json @@ -0,0 +1 @@ +{"content":"**Construct an $85^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/9b909f5ba085dd5832cada37c515600960dda988.png":{"height":392,"width":371}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-0.7183505507981855,-0.7892156326593263],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/7c/9755cc656728.json b/data/questions/e9/7c/9755cc656728.json new file mode 100644 index 0000000000..1e5c8bea6a --- /dev/null +++ b/data/questions/e9/7c/9755cc656728.json @@ -0,0 +1 @@ +{"content":"**Select the number line that shows the locations of $1$, $-1.6$, and $-\\dfrac35$.**\n\n[[☃ radio 1]]","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac12$","$-1.25$","$-\\dfrac18$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/e6179f9d7d51939240096db9d023b424ef0b9506)\n","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/1d5e851c3d00f9ecd2d800a1f0cc5c9d3f01a556)","correct":false},{"content":"![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/52385a2a0b9062732845f660dee53cf1ab950818)","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/91/0df8fce6fbe7.json b/data/questions/e9/91/0df8fce6fbe7.json new file mode 100644 index 0000000000..5c959e6b4d --- /dev/null +++ b/data/questions/e9/91/0df8fce6fbe7.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $A$ and scale factor is $4$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6b03f1d1befcee0e0d3c18b5b613dc05957f8db9","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[-6,-2],[6,-2],[-6,6]],"showAngles":false,"snapTo":"grid","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/98/bb19d104749e.json b/data/questions/e9/98/bb19d104749e.json new file mode 100644 index 0000000000..816f990e45 --- /dev/null +++ b/data/questions/e9/98/bb19d104749e.json @@ -0,0 +1 @@ +{"content":"crwdns3354909:0$m$crwdnd3354909:0$z_1$crwdnd3354909:0$z_2$crwdne3354909:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/683b3fa7100982e93ba1bafcb3c105d2f727f21a","width":430},"correct":{"coords":[[0,1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/99/3eb41218707f.json b/data/questions/e9/99/3eb41218707f.json new file mode 100644 index 0000000000..4acc5dd164 --- /dev/null +++ b/data/questions/e9/99/3eb41218707f.json @@ -0,0 +1 @@ +{"content":"crwdns4022575:0crwdne4022575:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6.5],[-2,2],[-3,-1],[-2,-3],[8,0],[6,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/a3/cd682b2f5f1a.json b/data/questions/e9/a3/cd682b2f5f1a.json new file mode 100644 index 0000000000..87c8272dbb --- /dev/null +++ b/data/questions/e9/a3/cd682b2f5f1a.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{3y=2x-27}$\n\n$\\qquad\\pink{y+\\dfrac{3}{2}x=7}$\n\n**Create a new equation by adding the equations together.** \n(Be sure to combine like terms.) \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=x/8 - 5"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/34ba02275e513cb1a3fe2678020a5ecb30a9012a.png","width":425},"correct":{"coords":[[8,-4],[0,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/b0/ff9979d7711b.json b/data/questions/e9/b0/ff9979d7711b.json new file mode 100644 index 0000000000..ff5719be45 --- /dev/null +++ b/data/questions/e9/b0/ff9979d7711b.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\sin\\left(\\dfrac{\\pi}{4} x+\\dfrac{3\\pi}{4}\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":[],"coords":[[-3,2],[-1,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/b2/8e5d7fc1726a.json b/data/questions/e9/b2/8e5d7fc1726a.json new file mode 100644 index 0000000000..4979872ace --- /dev/null +++ b/data/questions/e9/b2/8e5d7fc1726a.json @@ -0,0 +1 @@ +{"content":"Tygo loves to eat popsicles in the summer. His mom buys popsicles in boxes that have $6$ popsicles per box, and let's Tygo eat them all! In the graph below, $b$ is the number of boxes of popsicles Tygo's mom buys, and $p$ is the number of popsicles Tygo gets to eat.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$p=6b$\n\n**Plot points on the graph that show the number of popsicles Tygo gets to eat if his mom buys $2$ or $5$ boxes.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[2,12],[5,30]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["\\text{Boxes}","\\text{Popsicles}"],"markings":"graph","range":[[-1,10],[-5,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/bb/31e67e24b9dd.json b/data/questions/e9/bb/31e67e24b9dd.json new file mode 100644 index 0000000000..c5a1d5ea11 --- /dev/null +++ b/data/questions/e9/bb/31e67e24b9dd.json @@ -0,0 +1 @@ +{"content":"$\\triangle{SEA}$ is rotated $270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 5":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/df11a4dcfef566134502e6b4fc9091d9bfb35f65","width":425},"correct":{"coords":[[2,7],[-2,7],[2,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/bd/faa923f584cd.json b/data/questions/e9/bd/faa923f584cd.json new file mode 100644 index 0000000000..4ff542bc0b --- /dev/null +++ b/data/questions/e9/bd/faa923f584cd.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebd31f95085860bd1b7b6eea99775b7bed802169","width":430},"correct":{"coords":[[1,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/bf/2ecde2ddcf5d.json b/data/questions/e9/bf/2ecde2ddcf5d.json new file mode 100644 index 0000000000..abb8d9dfb0 --- /dev/null +++ b/data/questions/e9/bf/2ecde2ddcf5d.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of the hyperbola represented by the equation $\\dfrac{x^2}{625}-\\dfrac{y^2}{3600}=1$**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f0644e6497304b33a555e45a9c38f945d298b0a","width":425},"correct":{"coords":[[65,0],[-65,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[10,10],"labels":["ẍẋ","ý"],"markings":"none","range":[[-100,100],[-100,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[50,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/e9/c1/aa0dced4af62.json b/data/questions/e9/c1/aa0dced4af62.json new file mode 100644 index 0000000000..8e13e03884 --- /dev/null +++ b/data/questions/e9/c1/aa0dced4af62.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a linear function with range $-5=2000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":[],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,5],[4,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["E","B"],"markings":"graph","range":[[-0.5,7],[-0.5,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$1.5$","correct":false},{"content":"$2$","correct":false},{"content":"$2.5$","correct":true},{"content":"$3$ ","correct":true},{"content":"$3.5$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ea/d0/1053195e5220.json b/data/questions/ea/d0/1053195e5220.json new file mode 100644 index 0000000000..f1261faafa --- /dev/null +++ b/data/questions/ea/d0/1053195e5220.json @@ -0,0 +1 @@ +{"content":"crwdns4117379:0$x$crwdnd4117379:0$y$crwdnd4117379:0$x$crwdnd4117379:0$0$crwdnd4117379:0$7$crwdnd4117379:0$y$crwdnd4117379:0$x$crwdnd4117379:0$y$crwdnd4117379:0:-:crwdnd4117379:0$3$crwdnd4117379:0$5$crwdnd4117379:0$7$crwdne4117379:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7],[5,7],[7,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ea/da/1c866f3e4afa.json b/data/questions/ea/da/1c866f3e4afa.json new file mode 100644 index 0000000000..d1bf6b1a11 --- /dev/null +++ b/data/questions/ea/da/1c866f3e4afa.json @@ -0,0 +1 @@ +{"content":"crwdns6970120:0$zcrwdnd6970120:0{5}crwdnd6970120:0$z$crwdne6970120:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[4,2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ea/da/4bc5d189da14.json b/data/questions/ea/da/4bc5d189da14.json new file mode 100644 index 0000000000..5ab9ec55c6 --- /dev/null +++ b/data/questions/ea/da/4bc5d189da14.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(6,1)$ and $(6,9)$ on the coordinate plane below.**\n\n[[☃ interactive-graph 2]]\n\n**What is the distance between these two points?** \n\n[[☃ numeric-input 1]] units\n\n","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,9],[6,1]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ea/e5/abcb879b4f7c.json b/data/questions/ea/e5/abcb879b4f7c.json new file mode 100644 index 0000000000..753334483b --- /dev/null +++ b/data/questions/ea/e5/abcb879b4f7c.json @@ -0,0 +1 @@ +{"content":"A hovercraft takes off from a platform. The function $f$ models the height of the hovercraft above the ground (in meters) as a function of time (in seconds) after it takes off.\n\n**Plot the point on the graph of $f$ that corresponds to the time when the hovercraft reached its maximum height.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/76159578db3fed0900ad1974af7c6042cb2d18fa","width":400},"correct":{"coords":[[1,8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["\\text{Time (seconds)}","\\text{Height (meters)}"],"markings":"none","range":[[-2,4],[-1,9]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ea/e5/bfcddb3b4f96.json b/data/questions/ea/e5/bfcddb3b4f96.json new file mode 100644 index 0000000000..6bcf3a798a --- /dev/null +++ b/data/questions/ea/e5/bfcddb3b4f96.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-3(x-2)^2+4.5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[2,4.5],[0,-7.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ea/ef/82b420adb027.json b/data/questions/ea/ef/82b420adb027.json new file mode 100644 index 0000000000..6b6ce473f9 --- /dev/null +++ b/data/questions/ea/ef/82b420adb027.json @@ -0,0 +1 @@ +{"content":"Graph the following system of inequalities:\n\n$\\qquad 6x+2y<12$\n\n$\\qquad y > -3x+6$\n\n\n(\\Begin magical sandcastle widget)\n\n*Shade other side buttons for both inequalities* \n\n*Solid/dashed line buttons for both inequalities*\n\n*Magical interactive graph.*\n\n(\\End magical sandcastle widget)\n\n**Is $(3,-3)$ a solution of the inequality?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"$>$","correct":false},{"content":"$<$","correct":false},{"content":"$\\leq$","correct":true},{"content":"$\\geq$","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[-1,1],[0,6]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":0.5}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"","size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"clue":"What's the solution set of the system?","content":"Yes","correct":false},{"content":"No","correct":true}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ea/f6/9bf74322a7db.json b/data/questions/ea/f6/9bf74322a7db.json new file mode 100644 index 0000000000..c332c9ee90 --- /dev/null +++ b/data/questions/ea/f6/9bf74322a7db.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(0,5)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,5]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ea/f6/c348b1f03b32.json b/data/questions/ea/f6/c348b1f03b32.json new file mode 100644 index 0000000000..192726539a --- /dev/null +++ b/data/questions/ea/f6/c348b1f03b32.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=5|x -6|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[6,2],[7,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/01/96754a770cb8.json b/data/questions/eb/01/96754a770cb8.json new file mode 100644 index 0000000000..74dc40aa21 --- /dev/null +++ b/data/questions/eb/01/96754a770cb8.json @@ -0,0 +1 @@ +{"content":"crwdns5528691:0$0.1$crwdnd5528691:0$35$crwdne5528691:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[35,0],[40,0.5]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d5edaf15bfe7751fa400f442e1abc55494196e90","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,0.5],"labels":["",""],"markings":"none","range":[[-5,65],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,0.5],"step":[5,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/14/71b4fe92421d.json b/data/questions/eb/14/71b4fe92421d.json new file mode 100644 index 0000000000..d0620e86de --- /dev/null +++ b/data/questions/eb/14/71b4fe92421d.json @@ -0,0 +1 @@ +{"content":"crwdns3897368:0crwdne3897368:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,9],[-5,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/16/8d86f29c70b1.json b/data/questions/eb/16/8d86f29c70b1.json new file mode 100644 index 0000000000..2764099741 --- /dev/null +++ b/data/questions/eb/16/8d86f29c70b1.json @@ -0,0 +1 @@ +{"content":"Holly drinks juice while she drives to work each day.\n\nShe recorded the amount of juice she drank (in milliliters) and how long (in minutes) her drive took for five days this week.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Juice (mL)** | $100$ | $200$ | $150$ | $125$ | $225$\n**Time (min)** | $18$ | $14$ | $15$ | $20$ | $12$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[100,18],[200,14],[150,15],[125,20],[225,12]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[25,1],"labels":["$\\text{Juice}$","$\\text{Time}$"],"markings":"graph","range":[[-25,300],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[25,1],"step":[50,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/1e/39fa88cf3aac.json b/data/questions/eb/1e/39fa88cf3aac.json new file mode 100644 index 0000000000..ce809e0a57 --- /dev/null +++ b/data/questions/eb/1e/39fa88cf3aac.json @@ -0,0 +1 @@ +{"content":"crwdns4070500:0$hcrwdnd4070500:0{1}crwdnd4070500:0{4}crwdne4070500:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,-4],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/35/4feb0c5e78c1.json b/data/questions/eb/35/4feb0c5e78c1.json new file mode 100644 index 0000000000..9b738a87b3 --- /dev/null +++ b/data/questions/eb/35/4feb0c5e78c1.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-2(x+5)^2+4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,4],[-4,2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/39/eeb0384928a4.json b/data/questions/eb/39/eeb0384928a4.json new file mode 100644 index 0000000000..b6c3e9b17a --- /dev/null +++ b/data/questions/eb/39/eeb0384928a4.json @@ -0,0 +1 @@ +{"content":"crwdns6509157:0crwdne6509157:0","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c0ef3aa1318514419095f71c788ceeca64d66272","width":400},"correct":{"coords":[[0,-2],[0,1],[-3,1],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/3a/0e6c4b6028eb.json b/data/questions/eb/3a/0e6c4b6028eb.json new file mode 100644 index 0000000000..8bfeb3981e --- /dev/null +++ b/data/questions/eb/3a/0e6c4b6028eb.json @@ -0,0 +1 @@ +{"content":"Two of the points that define a certain quadrilateral are $(0,9)$ and $(3,4)$. The quadrilateral has reflective symmetry over the line $y=3-x$.\n\n**Draw and classify the quadrilateral described above.** \n(Choose the most specific description.)\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/837d41b6d43df8246fecc53ae5e796e32df43638","width":400},"correct":{"coords":[[-6,3],[0,9],[3,4],[-1,0]],"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"वर्ग (Square)","correct":false},{"content":"आयत (Rectangle)","correct":false},{"content":"समचतुर्भुज (Rhombus)","correct":false},{"content":"समांतर चतुर्भुज (Parallelogram)","correct":false},{"content":"समलंब चतुर्भुज (Trapezoid)","correct":true},{"content":"Kite","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/eb/45/e910916e92de.json b/data/questions/eb/45/e910916e92de.json new file mode 100644 index 0000000000..204f66d16d --- /dev/null +++ b/data/questions/eb/45/e910916e92de.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ee0aa0028cb30e9cb785d6a703e443c9da5d8430","width":430},"correct":{"coords":[[8,8]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/52/9c8da9328614.json b/data/questions/eb/52/9c8da9328614.json new file mode 100644 index 0000000000..411b485e7a --- /dev/null +++ b/data/questions/eb/52/9c8da9328614.json @@ -0,0 +1 @@ +{"content":"crwdns4213101:0$3$crwdnd4213101:0$x$crwdnd4213101:0$y$crwdnd4213101:0:-:crwdnd4213101:0$1$crwdnd4213101:0$3$crwdnd4213101:0$3$crwdnd4213101:0$5$crwdne4213101:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[3,9],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,7],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,3]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/66/550e4846d153.json b/data/questions/eb/66/550e4846d153.json new file mode 100644 index 0000000000..7fc90b8fd7 --- /dev/null +++ b/data/questions/eb/66/550e4846d153.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $D$ under a dilation about the origin $(0,0)$ with a scale factor of $3$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/49f97cd8b426879299a8aa88e1b58ffff078205a","width":425},"correct":{"coords":[[-6,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/6a/f67681405f8b.json b/data/questions/eb/6a/f67681405f8b.json new file mode 100644 index 0000000000..b5cc61ef6e --- /dev/null +++ b/data/questions/eb/6a/f67681405f8b.json @@ -0,0 +1 @@ +{"content":"crwdns6420407:0$ycrwdnd6420407:0{1-x}crwdne6420407:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,6],[10,6]],"coords":[[0,4],[1,5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/75/aad3998a1781.json b/data/questions/eb/75/aad3998a1781.json new file mode 100644 index 0000000000..0fc2015fc9 --- /dev/null +++ b/data/questions/eb/75/aad3998a1781.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(2x^2+7x+5)(x-3)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[3,0],[-2.5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/88/c5c76ec8ed4f.json b/data/questions/eb/88/c5c76ec8ed4f.json new file mode 100644 index 0000000000..4897ac306b --- /dev/null +++ b/data/questions/eb/88/c5c76ec8ed4f.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-6,6)$, and the upper-right coordinates are $(1, 6)$. The rectangle has a perimeter of $30$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-2],[1,6],[-6,6],[-6,-2]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/8c/11a9efaa96db.json b/data/questions/eb/8c/11a9efaa96db.json new file mode 100644 index 0000000000..05876761e8 --- /dev/null +++ b/data/questions/eb/8c/11a9efaa96db.json @@ -0,0 +1 @@ +{"content":"**Graph the following exponential function.**\n\n>$h(x)=-9\\cdot\\left(\\dfrac{3}{5}\\right)^{\\large x}$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,-9],[-1,-15]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[0.5,3],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-21,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,1.5],"step":[1,3],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/99/484647737a9a.json b/data/questions/eb/99/484647737a9a.json new file mode 100644 index 0000000000..c6007c3a16 --- /dev/null +++ b/data/questions/eb/99/484647737a9a.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/35af55fd8ca1fd970e15b47edce06cad89333c3f","width":425},"correct":{"coords":[[1,1],[1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/ae/f6e38a1b9fde.json b/data/questions/eb/ae/f6e38a1b9fde.json new file mode 100644 index 0000000000..782751c125 --- /dev/null +++ b/data/questions/eb/ae/f6e38a1b9fde.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(−8,9), (−9,7), (−9,4), (−6,1), (−3,5), (−4,9)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-8,9],[-9,7],[-9,4],[-6,1],[-3,5],[-4,9]],"numSides":"unlimited","showAngles":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/eb/b9/2b17f9911a40.json b/data/questions/eb/b9/2b17f9911a40.json new file mode 100644 index 0000000000..ec135a68ae --- /dev/null +++ b/data/questions/eb/b9/2b17f9911a40.json @@ -0,0 +1 @@ +{"content":"**Graph $3x-4y=24$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[8,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/d9/74cfcc192db0.json b/data/questions/eb/d9/74cfcc192db0.json new file mode 100644 index 0000000000..c0f80a5074 --- /dev/null +++ b/data/questions/eb/d9/74cfcc192db0.json @@ -0,0 +1 @@ +{"content":"Leah took her friends for a ride in her hot air balloon. The function $f$ models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.\n\n**Plot the point on the graph of $f$ that corresponds to when the hot air balloon landed.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1d1a2f83f78c1c774d6b0aca26dd8aaa1b6540e7","width":400},"correct":{"coords":[[60,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[5,50],"labels":["x","y"],"markings":"none","range":[[-10,80],[-50,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,25],"step":[10,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/eb/f6/90345129d6f3.json b/data/questions/eb/f6/90345129d6f3.json new file mode 100644 index 0000000000..bde2003718 --- /dev/null +++ b/data/questions/eb/f6/90345129d6f3.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $5\\pi$ units\n\n\n- Its amplitude is $5$ units\n\n\n- It intersects its midline at $\\left(\\dfrac{3}{4}\\pi,-2\\right)$ and then decreases\n\n**Graph the function in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[1.5,-2],[4,-7]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/01/6fc573a59d0f.json b/data/questions/ec/01/6fc573a59d0f.json new file mode 100644 index 0000000000..05d2fa3633 --- /dev/null +++ b/data/questions/ec/01/6fc573a59d0f.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x +2,y +2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bcc823f43b71756bd05e70fd3a6963320ed697f","width":425},"correct":{"coords":[[0,4],[-4,6],[-3,0]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/10/2a959e037769.json b/data/questions/ec/10/2a959e037769.json new file mode 100644 index 0000000000..96090149f7 --- /dev/null +++ b/data/questions/ec/10/2a959e037769.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nMandy earns money based on how many hours she works. The following table shows Mandy's earnings.\n\n| | |\n- | :-: | :-:| :-:| :-:\nHours | $1$ | $2$| $3$ \nEarnings | $\\$10$ | $\\$20$ | $\\$30$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**Are Mandy's earnings proportional to the number of hours that she works?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,5],"backgroundImage":{"url":null},"markings":"graph","labels":["$\\text{Hours}$","$\\text{Earnings}$"],"showProtractor":false,"showTooltips":false,"range":[[-1,6.5],[-5,55]],"gridStep":[0.5,5],"snapStep":[0.25,2.5],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","numPoints":3,"coords":[[1,10],[2,20],[3,30]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"content":"Yes","correct":true},{"content":"No","correct":false}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/ec/2a/30750f88b8df.json b/data/questions/ec/2a/30750f88b8df.json new file mode 100644 index 0000000000..a2230d27bb --- /dev/null +++ b/data/questions/ec/2a/30750f88b8df.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $5$ units to the right.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5c496153513860da86fabcd3eb6a8ddfc2e43fa6","width":425},"correct":{"coords":[[5,-5],[4,2],[-1,1],[-2,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/2b/82afc723dcc1.json b/data/questions/ec/2b/82afc723dcc1.json new file mode 100644 index 0000000000..8887133fc1 --- /dev/null +++ b/data/questions/ec/2b/82afc723dcc1.json @@ -0,0 +1 @@ +{"content":"**Graph $y = \\dfrac{3}{8}x+6$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,6],[8,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/30/1c6d851c9f2f.json b/data/questions/ec/30/1c6d851c9f2f.json new file mode 100644 index 0000000000..a7fed41314 --- /dev/null +++ b/data/questions/ec/30/1c6d851c9f2f.json @@ -0,0 +1 @@ +{"content":"A coordinate map of the local grocery store is shown below. Hot dogs are located at the point $(6,4)$. Mustard is located at the point $(6,-3)$.\n\n**Plot the hot dogs and mustard on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far are the hot dogs from the mustard?** \n[[☃ input-number 1]] units\n\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/858be855cb97f24cc99b0185e6a6105d7199f5dc":{"height":425,"width":440}},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,-3],[6,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/57/5ee2c2b45671.json b/data/questions/ec/57/5ee2c2b45671.json new file mode 100644 index 0000000000..9b4af472f2 --- /dev/null +++ b/data/questions/ec/57/5ee2c2b45671.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4|x +4|+3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-4,3],[-3,7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/59/a0ed2d843a19.json b/data/questions/ec/59/a0ed2d843a19.json new file mode 100644 index 0000000000..3729e25386 --- /dev/null +++ b/data/questions/ec/59/a0ed2d843a19.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $5$, नियम: $5$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $1$, नियम: $1$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.2},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[5,1],[10,2],[15,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["5","1"],["10","2"],["15","3"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/67/43047c67b842.json b/data/questions/ec/67/43047c67b842.json new file mode 100644 index 0000000000..0b1d24ff12 --- /dev/null +++ b/data/questions/ec/67/43047c67b842.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with side lengths $12$, $10$, and $10$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[15.32960747877035,4.857843140337501],[9.385307705798532,12.899316898862562],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[0,24],[0,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/6d/6d15e0b9eabc.json b/data/questions/ec/6d/6d15e0b9eabc.json new file mode 100644 index 0000000000..4676a9f318 --- /dev/null +++ b/data/questions/ec/6d/6d15e0b9eabc.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0aebe236000f6f39501780a7f557dfb0d6e30b94","width":425},"correct":{"coords":[[2,3],[-4,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/7d/a4ba7d8cd038.json b/data/questions/ec/7d/a4ba7d8cd038.json new file mode 100644 index 0000000000..4413623fc4 --- /dev/null +++ b/data/questions/ec/7d/a4ba7d8cd038.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable pentagon to construct the image of pentagon $STORK$ after reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3289e7304aaf69d1f6d63c84027801a18803f997.png","width":425},"correct":{"coords":[[3,5],[-2,2],[1,-7],[8,-5],[7,2]],"numSides":5,"type":"polygon"},"graph":{"numSides":5,"type":"polygon"},"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/7e/cf82a92f362d.json b/data/questions/ec/7e/cf82a92f362d.json new file mode 100644 index 0000000000..8002ee01df --- /dev/null +++ b/data/questions/ec/7e/cf82a92f362d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-3)^2+(y-7)^2=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[3,7],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/94/e807f2153653.json b/data/questions/ec/94/e807f2153653.json new file mode 100644 index 0000000000..99f0bf1d5f --- /dev/null +++ b/data/questions/ec/94/e807f2153653.json @@ -0,0 +1 @@ +{"content":"Jennifer drives at a constant speed of $3$ miles per $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents distance (in miles). \n\n**Plot points to show how far Jennifer has driven after $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,4.5],[4,3],[2,1.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/a1/773911d554e7.json b/data/questions/ec/a1/773911d554e7.json new file mode 100644 index 0000000000..df7751e2c6 --- /dev/null +++ b/data/questions/ec/a1/773911d554e7.json @@ -0,0 +1 @@ +{"content":"crwdns6544098:0crwdne6544098:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dd2a53cbdf9f36a303e5911bcb959ebfa327d33","width":400},"correct":{"coords":[[-6,3],[5,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/ac/a43d85a8d9bf.json b/data/questions/ec/ac/a43d85a8d9bf.json new file mode 100644 index 0000000000..b4bc309b43 --- /dev/null +++ b/data/questions/ec/ac/a43d85a8d9bf.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{3}{2}(x-2)^2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,0],[4,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/b9/4581fc84ea9d.json b/data/questions/ec/b9/4581fc84ea9d.json new file mode 100644 index 0000000000..abbb6d09e5 --- /dev/null +++ b/data/questions/ec/b9/4581fc84ea9d.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-7,7],[-7,7]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-4,-4],[4,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/c4/9ad915e7b8e0.json b/data/questions/ec/c4/9ad915e7b8e0.json new file mode 100644 index 0000000000..2087794a65 --- /dev/null +++ b/data/questions/ec/c4/9ad915e7b8e0.json @@ -0,0 +1 @@ +{"content":"crwdns3462801:0$ycrwdnd3462801:0{1}crwdnd3462801:0{4}crwdne3462801:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,-4],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/d0/04b37a979680.json b/data/questions/ec/d0/04b37a979680.json new file mode 100644 index 0000000000..475c5c4c94 --- /dev/null +++ b/data/questions/ec/d0/04b37a979680.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2683edd01039f0f67af98115da7d56da87bef1cd","width":425},"correct":{"coords":[[-2,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/da/fd7a3e03226c.json b/data/questions/ec/da/fd7a3e03226c.json new file mode 100644 index 0000000000..e053153abc --- /dev/null +++ b/data/questions/ec/da/fd7a3e03226c.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map quadrilateral $SORT$ onto the other quadrilateral below.**\n\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/17b81dddd0ef5f94861d2bdf1e46109ed5bea87f","width":425},"correct":{"coords":[[-3,-6],[-3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a07dcae6562b32314ebcb312c465bd6f5096f67e","width":425},"correct":{"coords":[[0,-3],[6,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/769f1c610008c8158dee2d92efde7024e2ab5902","width":425},"correct":{"coords":[[0,-2],[3,-1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/dd/473dd29134b2.json b/data/questions/ec/dd/473dd29134b2.json new file mode 100644 index 0000000000..261026429b --- /dev/null +++ b/data/questions/ec/dd/473dd29134b2.json @@ -0,0 +1 @@ +{"content":"**Graph $5x+3y=15$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,5],[3,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ec/ee/d03f342e14aa.json b/data/questions/ec/ee/d03f342e14aa.json new file mode 100644 index 0000000000..68136f7d36 --- /dev/null +++ b/data/questions/ec/ee/d03f342e14aa.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}1 & -1 \\\\ 1 & 2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}3 \\\\ 4\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6df5ef53e8e8df5ceb8cd6589dc9b4b70d948b78","width":425},"correct":{"coords":[[[0,0],[-1,11]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[2,2],"labels":["ẍẋ","ý"],"markings":"none","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/0c/9e2b81b6024e.json b/data/questions/ed/0c/9e2b81b6024e.json new file mode 100644 index 0000000000..da1f03fd1d --- /dev/null +++ b/data/questions/ed/0c/9e2b81b6024e.json @@ -0,0 +1 @@ +{"content":"crwdns4069712:0$hcrwdne4069712:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-4],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/13/854a0d6f55e0.json b/data/questions/ed/13/854a0d6f55e0.json new file mode 100644 index 0000000000..e6bdb35c39 --- /dev/null +++ b/data/questions/ed/13/854a0d6f55e0.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2dcd77847734e898c7fd96701bcbeb116be06bf1","width":400},"correct":{"coords":[[-1,-6],[-2,-7],[-4,-3]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/13/944d7ba82338.json b/data/questions/ed/13/944d7ba82338.json new file mode 100644 index 0000000000..a8b8ddcddb --- /dev/null +++ b/data/questions/ed/13/944d7ba82338.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\dfrac{3}{2}x-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-3],[2,-6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/1e/ed2c36bd8746.json b/data/questions/ed/1e/ed2c36bd8746.json new file mode 100644 index 0000000000..585c1f5e15 --- /dev/null +++ b/data/questions/ed/1e/ed2c36bd8746.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under the translation $(x,y)\\to(x-3,y+4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a849ff536c19c78369d9bd5c25293b4cf156fe15","width":425},"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/25/56146aec323e.json b/data/questions/ed/25/56146aec323e.json new file mode 100644 index 0000000000..c77595eb98 --- /dev/null +++ b/data/questions/ed/25/56146aec323e.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-3(x-2)^2+4.5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[2,4.5],[0,-7.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/28/2ac9bed5cbd3.json b/data/questions/ed/28/2ac9bed5cbd3.json new file mode 100644 index 0000000000..b888ce772f --- /dev/null +++ b/data/questions/ed/28/2ac9bed5cbd3.json @@ -0,0 +1 @@ +{"content":"crwdns3362575:0$fcrwdnd3362575:0{-0.1x}crwdnd3362575:0$gcrwdnd3362575:0$ycrwdnd3362575:0$ycrwdnd3362575:0$x_1$crwdnd3362575:0$x_2$crwdnd3362575:0{-0.1x}crwdnd3362575:0$x_1crwdnd3362575:0$x_1$crwdnd3362575:0{0.5}crwdne3362575:0","images":{},"widgets":{"grapher 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1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":-5.643},{"maxError":0.5,"message":"crwdns3882554:0crwdne3882554:0","simplify":"required","status":"wrong","strict":false,"value":1.3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/31/a60c1f7b252f.json b/data/questions/ed/31/a60c1f7b252f.json new file mode 100644 index 0000000000..c41e2d4f53 --- /dev/null +++ b/data/questions/ed/31/a60c1f7b252f.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(-1,5)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(-1,5)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-1,5]],"type":"point"},"graph":{"type":"point"},"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Ḟíìŕřśŝťț ʠúùáàďđŕřáàńňťț ","correct":false},{"content":"ŚŜéèćĉóòńňďđ ʠúùáàďđŕřáàńňťț ","correct":true},{"content":"ŤŢĥȟíìŕřďđ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"Ḟóòúùŕřťțĥȟ ʠúùáàďđŕřáàńňťț","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ed/33/04cd143f1795.json b/data/questions/ed/33/04cd143f1795.json new file mode 100644 index 0000000000..eed1a952b4 --- /dev/null +++ b/data/questions/ed/33/04cd143f1795.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $4$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/efed7f04c5c3a476c7104de8a758b17d4f9ea9dc","width":400},"correct":{"coords":[[6,-6],[2,2],[-6,-6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/33/ba88a4c3fe81.json b/data/questions/ed/33/ba88a4c3fe81.json new file mode 100644 index 0000000000..92c00c5e84 --- /dev/null +++ b/data/questions/ed/33/ba88a4c3fe81.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b1439786b4f0d28c3f0830aa464f729089835484","width":430},"correct":{"coords":[[0,8]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/3a/37d423642613.json b/data/questions/ed/3a/37d423642613.json new file mode 100644 index 0000000000..a661e43083 --- /dev/null +++ b/data/questions/ed/3a/37d423642613.json @@ -0,0 +1 @@ +{"content":"crwdns3458201:0crwdne3458201:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,-7]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/3c/ccc5617da09b.json b/data/questions/ed/3c/ccc5617da09b.json new file mode 100644 index 0000000000..d975d4a3aa --- /dev/null +++ b/data/questions/ed/3c/ccc5617da09b.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$-8$|$-5$|$0$|$7$|$0$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fe70160792319482e4ccad557ff64244ece26433","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,-2]],[[-5,-3],[5,-5]],[[-5,-6],[5,-2]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/ed/3d/f23e2d5a6bce.json b/data/questions/ed/3d/f23e2d5a6bce.json new file mode 100644 index 0000000000..e85f244d5d --- /dev/null +++ b/data/questions/ed/3d/f23e2d5a6bce.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1a31dd15da9da65b58c639b47ac27fbb442be65f","width":425},"correct":{"coords":[[-5,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/4d/505fdce6dea7.json b/data/questions/ed/4d/505fdce6dea7.json new file mode 100644 index 0000000000..e79e7a033b --- /dev/null +++ b/data/questions/ed/4d/505fdce6dea7.json @@ -0,0 +1 @@ +{"content":"**Graph $3x+4y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/56/a3e0d9cd77be.json b/data/questions/ed/56/a3e0d9cd77be.json new file mode 100644 index 0000000000..c10c40d32e --- /dev/null +++ b/data/questions/ed/56/a3e0d9cd77be.json @@ -0,0 +1 @@ +{"content":"Line segments $\\overline{FI}$ and $\\overline{LE}$ are reflected over the line $y=3x$, which is drawn below.\n\n**Draw the image of this reflection using the interactive graph.**\n\n[[☃ interactive-graph 6]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/34b9f00ef92cffad894c7f39686a4850375dfb5a","width":400},"correct":{"coords":[[3,-3],[-4,-7],[-7,-5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec9db377c855be17a2841116d069c94ee6277951","width":425},"correct":{"coords":[[[-8,5],[8,-2]],[[-7,-1],[-3,7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/91b9cdea9392fcb822d0365456409475e579472a","width":425},"correct":{"coords":[[[-9,0],[5,5]],[[-7,-1],[-7,8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dbac9c0d80eb620ac380f038eed02de1b3295976","width":425},"correct":{"coords":[[[-4,-7],[-4,-9]],[[-6,-4],[3,-8]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ff32e4b8055948ab048578d8b2ffc66e6054acb6","width":425},"correct":{"coords":[[[-3,8],[-9,-5]],[[-4,0],[-3,-7]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 6":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/75e2976b97bc615fbd677ff1cf85c00366faa41f","width":425},"correct":{"coords":[[[2,-4],[-5,5]],[[-8,-4],[-6,2]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/61/067c9dd3d9e5.json b/data/questions/ed/61/067c9dd3d9e5.json new file mode 100644 index 0000000000..5f53c03bcc --- /dev/null +++ b/data/questions/ed/61/067c9dd3d9e5.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3abcd04df721db46e71a686e41078a63e77b6c80","width":400},"correct":{"coords":[[-4,1],[6,-1.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/61/99851989fcd2.json b/data/questions/ed/61/99851989fcd2.json new file mode 100644 index 0000000000..25035cfde1 --- /dev/null +++ b/data/questions/ed/61/99851989fcd2.json @@ -0,0 +1 @@ +{"content":"crwdns3074210:0{B}crwdnd3074210:0{A}crwdne3074210:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":true},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":true},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/140993e12589b317f7bdbd667555ef1c48b26911.png","width":400},"correct":{"coords":[[5,3],[-5,-5]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/69/f6dd69f915f9.json b/data/questions/ed/69/f6dd69f915f9.json new file mode 100644 index 0000000000..5162609424 --- /dev/null +++ b/data/questions/ed/69/f6dd69f915f9.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -10x -10y +25=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,5],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/7b/c51cef953c22.json b/data/questions/ed/7b/c51cef953c22.json new file mode 100644 index 0000000000..fc61f472b4 --- /dev/null +++ b/data/questions/ed/7b/c51cef953c22.json @@ -0,0 +1 @@ +{"content":"crwdns3077845:0$1$crwdnd3077845:0$2$crwdnd3077845:0$3$crwdnd3077845:0$6$crwdnd3077845:0$9$crwdnd3077845:0$7$crwdnd3077845:0$57.00$crwdnd3077845:0$85.50$crwdnd3077845:0$66.50$crwdnd3077845:0$x$crwdnd3077845:0$y$crwdne3077845:0","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"9.5"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/7c/f7cb37bee98b.json b/data/questions/ed/7c/f7cb37bee98b.json new file mode 100644 index 0000000000..6bff018df7 --- /dev/null +++ b/data/questions/ed/7c/f7cb37bee98b.json @@ -0,0 +1 @@ +{"content":"crwdns5574171:0crwdne5574171:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[2,-3],[6,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/80/e6eeacf74d5e.json b/data/questions/ed/80/e6eeacf74d5e.json new file mode 100644 index 0000000000..da466ea345 --- /dev/null +++ b/data/questions/ed/80/e6eeacf74d5e.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=0.5\\sin\\left(\\dfrac{\\pi}{3}x+\\dfrac{4\\pi}{3}\\right)-2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-4,-2],[-2.5,-1.5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/87/df9fadc13677.json b/data/questions/ed/87/df9fadc13677.json new file mode 100644 index 0000000000..7bde4e92f4 --- /dev/null +++ b/data/questions/ed/87/df9fadc13677.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $15$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-1],[2,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/8f/e88dc51776e9.json b/data/questions/ed/8f/e88dc51776e9.json new file mode 100644 index 0000000000..1a83e3aa01 --- /dev/null +++ b/data/questions/ed/8f/e88dc51776e9.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=x^2-4x+5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[2,1],[0,5]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/91/c24e9e9ca124.json b/data/questions/ed/91/c24e9e9ca124.json new file mode 100644 index 0000000000..0c41168d2a --- /dev/null +++ b/data/questions/ed/91/c24e9e9ca124.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x +8y -5=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/93/7f5c77d485a1.json b/data/questions/ed/93/7f5c77d485a1.json new file mode 100644 index 0000000000..dfa069cc5f --- /dev/null +++ b/data/questions/ed/93/7f5c77d485a1.json @@ -0,0 +1 @@ +{"content":"The four corners of a rectangle are located at the points $(11,7)$, $(11,0)$, $(2,0)$, and $(2,7)$.\n\n**Plot the four corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**What is the height of the rectangle? ** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":7},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,0],[11,0],[2,7],[11,7]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/96/13bc95422f18.json b/data/questions/ed/96/13bc95422f18.json new file mode 100644 index 0000000000..0e5ef5dbc1 --- /dev/null +++ b/data/questions/ed/96/13bc95422f18.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is a line segment joining the points $(-7,-5)$ and $(-1,-2)$. \n\n**Drag the endpoints of the segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4afc8019a65038699d6a783b9b8b8edf95e62acf","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"segment"},"correct":{"type":"segment","coords":[[[-5,-7],[-2,-1]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/98/e2f02181c23e.json b/data/questions/ed/98/e2f02181c23e.json new file mode 100644 index 0000000000..3123145646 --- /dev/null +++ b/data/questions/ed/98/e2f02181c23e.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$61$|$-31$|$71$|$101$|$-11$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bc3d431242174bec47c29a8a864032066e6d5770","width":400},"correct":{"coords":[[[-5,6],[5,-1]],[[-5,3],[5,5]],[[-5,0],[5,-4]],[[-5,-3],[5,-7]],[[-5,-6],[5,2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ed/ca/ca7c16cf12ab.json b/data/questions/ed/ca/ca7c16cf12ab.json new file mode 100644 index 0000000000..0bb287246e --- /dev/null +++ b/data/questions/ed/ca/ca7c16cf12ab.json @@ -0,0 +1 @@ +{"content":"**Construct a $110^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/36556ac30ed00e053410c3a75f6c42314f4f348c.png":{"height":320,"width":378},"https://ka-perseus-images.s3.amazonaws.com/e06103f19a0a4526495cf02ee2c4216c91c57f78.png":{"height":163,"width":265}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[3.4209731939959758,0.39904660306349626],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/e0/46447b67f8f8.json b/data/questions/ed/e0/46447b67f8f8.json new file mode 100644 index 0000000000..154fc19c3e --- /dev/null +++ b/data/questions/ed/e0/46447b67f8f8.json @@ -0,0 +1 @@ +{"content":"The graph of the function $h(x)=2x^2$ is shown on the grid below.\n\n**Graph the function $g(x)=2(x+1)^2-8$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-1,-8],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b7eec7ca584b1d5d87cc7415c3a238a9d678a7bc","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/e3/192a3a156932.json b/data/questions/ed/e3/192a3a156932.json new file mode 100644 index 0000000000..c53c53dbf8 --- /dev/null +++ b/data/questions/ed/e3/192a3a156932.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n&y=-6x+8\n\\\\\\\\\n& 3x+y=-4\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**How many solutions does the system have?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,8],[1,2]],[[0,-4],[1,-7]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"Exactly one solution","correct":true},{"content":"No solutions","correct":false},{"content":"Infinitely many solutions","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ed/e8/f21a5337a6b7.json b/data/questions/ed/e8/f21a5337a6b7.json new file mode 100644 index 0000000000..f59772ed38 --- /dev/null +++ b/data/questions/ed/e8/f21a5337a6b7.json @@ -0,0 +1 @@ +{"content":"crwdns4134496:0$x$crwdnd4134496:0$3$crwdnd4134496:0$3$crwdnd4134496:0$y$crwdnd4134496:0$6$crwdnd4134496:0$6$crwdnd4134496:0$x$crwdnd4134496:0$y$crwdnd4134496:0:-:crwdnd4134496:0$3$crwdnd4134496:0$6$crwdne4134496:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,6],[6,12],[9,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/f2/455640eb7d0d.json b/data/questions/ed/f2/455640eb7d0d.json new file mode 100644 index 0000000000..c078368432 --- /dev/null +++ b/data/questions/ed/f2/455640eb7d0d.json @@ -0,0 +1 @@ +{"content":"crwdns4242791:0$24$crwdne4242791:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,-4],[3,4],[-1,4],[-1,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/f2/cafe24693ec8.json b/data/questions/ed/f2/cafe24693ec8.json new file mode 100644 index 0000000000..8240fd9438 --- /dev/null +++ b/data/questions/ed/f2/cafe24693ec8.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{2y = \\dfrac{2}{5}x - 3}$\n\n$\\qquad\\pink{-24 = 4x+ y}$\n\n**Create a new equation by adding the equations together.** \n(Be sure to combine like terms.) \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":false},{"content":"is also","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=-6/5x-9"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/24befbcb6b423ce170eee090383ddd2a65fb319f.png","width":425},"correct":{"coords":[[0,-9],[-5,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/fb/ef81a059946b.json b/data/questions/ed/fb/ef81a059946b.json new file mode 100644 index 0000000000..b2c21000ce --- /dev/null +++ b/data/questions/ed/fb/ef81a059946b.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $3$ units right and $5$ units down.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/521587874df2aff8a04c7fd031096cc830836d6b","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[3,-7],[1,-4],[-1,-3],[-2,-6]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/ff/010623d100db.json b/data/questions/ed/ff/010623d100db.json new file mode 100644 index 0000000000..9c907d6a73 --- /dev/null +++ b/data/questions/ed/ff/010623d100db.json @@ -0,0 +1 @@ +{"content":"Move the line on the first graph so it is in the same position as the line on the second graph.\n\n[[☃ interactive-graph 1]]\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-3,0],[0,2]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}},"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":true,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-3,0],[0,2]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ed/ff/8d5df2c21898.json b/data/questions/ed/ff/8d5df2c21898.json new file mode 100644 index 0000000000..08d6e0545c --- /dev/null +++ b/data/questions/ed/ff/8d5df2c21898.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-4(x -3)(x -1)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,4],[3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/01/f5501d37fe04.json b/data/questions/ee/01/f5501d37fe04.json new file mode 100644 index 0000000000..f4f6c45917 --- /dev/null +++ b/data/questions/ee/01/f5501d37fe04.json @@ -0,0 +1 @@ +{"content":"Consider the following trigonometric function:\n\n$\\qquad f(x)=3\\cos(\\pi x+4\\pi)+2$\n\n**Graph $f(x)$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3.5,2],[-4,5]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/0e/efc3cf88473b.json b/data/questions/ee/0e/efc3cf88473b.json new file mode 100644 index 0000000000..65adb264bb --- /dev/null +++ b/data/questions/ee/0e/efc3cf88473b.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-0.5(x-2)^2+4.5$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[2,4.5],[5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-1}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/12/2cf913baf1e9.json b/data/questions/ee/12/2cf913baf1e9.json new file mode 100644 index 0000000000..4f4dcb0a23 --- /dev/null +++ b/data/questions/ee/12/2cf913baf1e9.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $18$ square units.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[3,-1],[3,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/1f/c7bb25c313a9.json b/data/questions/ee/1f/c7bb25c313a9.json new file mode 100644 index 0000000000..fccfc37b63 --- /dev/null +++ b/data/questions/ee/1f/c7bb25c313a9.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$2$|$4$|$6$|$8$\n$y$|$0$|$1.2$|$2.4$|$3.6$|$4.8$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/23/46149f10791a.json b/data/questions/ee/23/46149f10791a.json new file mode 100644 index 0000000000..886756e2ce --- /dev/null +++ b/data/questions/ee/23/46149f10791a.json @@ -0,0 +1 @@ +{"content":"Chandler is the marketing executive at PMO Advertising Agency. She has a marketing budget of $\\$2500$ to pay for television and newspaper advertising. Television advertising costs $\\$100$ per minute and newspaper ad space costs $\\$25$ per square centimeter of print.\n\n**Write an *inequality* that represents the number of minutes of television advertising $(T)$ and square centimeters of newspaper advertising $(N)$ Chandler can order without exceeding her marketing budget.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $T$ on the horizontal axis and $N$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Chandler orders $18$ minutes of television advertising $(T)$, which of the following numbers of square centimeters of newspaper advertising $(N)$ can she order without exceeding the marketing budget?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100T+25N<=2500"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"100t+25n\\le2500"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,100],[25,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,10],"labels":["T","N"],"markings":"graph","range":[[-5,40],[-10,125]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,5],"step":[5,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$14$","correct":true},{"content":"$19$","correct":true},{"content":"$25$","correct":true},{"content":"$28$","correct":true},{"content":"$32$","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/3b/ce9e7910323d.json b/data/questions/ee/3b/ce9e7910323d.json new file mode 100644 index 0000000000..d79ff4a6f3 --- /dev/null +++ b/data/questions/ee/3b/ce9e7910323d.json @@ -0,0 +1 @@ +{"content":"Tyler collected data on his $5$ pets. The points show the age and mass of $4$ of his pets. His fifth pet, Buddy, has a mass of $12 \\text { kg}$ and is $8$ years old.\n\n**Plot Buddy's mass and age on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which of Tyler's pets is the oldest?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d7b6afd9deefb286578725fdbb18a39ae3a17ac","width":400},"correct":{"coords":[[12,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3025613:0crwdne3025613:0","correct":false},{"content":"crwdns3025619:0crwdne3025619:0","correct":false},{"content":"crwdns3025601:0crwdne3025601:0","correct":true},{"content":"crwdns2972944:0crwdne2972944:0","correct":false},{"content":"crwdns3473012:0crwdne3473012:0"}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ee/3d/450d16817de9.json b/data/questions/ee/3d/450d16817de9.json new file mode 100644 index 0000000000..d27bf9d8f5 --- /dev/null +++ b/data/questions/ee/3d/450d16817de9.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7ee6359c4699a6e6f347994e4fa3d6a07a4f340b","width":430},"correct":{"coords":[[-5,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/41/00c515151532.json b/data/questions/ee/41/00c515151532.json new file mode 100644 index 0000000000..0326e64c3b --- /dev/null +++ b/data/questions/ee/41/00c515151532.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2(x-2)^2+2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,2],[1,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/79/d997b871d391.json b/data/questions/ee/79/d997b871d391.json new file mode 100644 index 0000000000..57a3f5c5ca --- /dev/null +++ b/data/questions/ee/79/d997b871d391.json @@ -0,0 +1 @@ +{"content":"**Mark the vertex of the parabola.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b4dbf87804b421970b300dc2a650b5575e2d14a6","width":425},"correct":{"coords":[[2,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/9d/968b8b528649.json b/data/questions/ee/9d/968b8b528649.json new file mode 100644 index 0000000000..380f47fafc --- /dev/null +++ b/data/questions/ee/9d/968b8b528649.json @@ -0,0 +1 @@ +{"content":"Last year, Denise harvested $3000$ metric tons of crops on her farm. This year, she wants to exceed last year's count by at least $2000$ metric tons. Each field of corn she harvests will yield $200$ metric tons, and each field of soybeans will yield $200$ metric tons.\n\n\n**Write an *inequality* that represents the number of fields of corn $(C)$ and fields of soybeans $(S)$ Denise will need to plow to achieve her harvest goal.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $S$ on the horizontal axis and $C$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Denise plows $10$ fields of corn $(C)$, which of the following numbers of fields of soybeans $(S)$ can she plow to meet or exceed the harvest goal?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"200C+200S>=5000","form":false,"simplify":false,"considered":"correct","key":0},{"value":"200c+200s\\ge5000","form":false,"simplify":false,"considered":"correct","key":1}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[5,5],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["S","C"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,40],[-5,40]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,25],[25,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$14$","correct":false},{"content":"$17$","correct":true},{"content":"$19$","correct":true},{"content":"$20$","correct":true},{"content":"$23$","correct":true}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/ac/14ea2285ccf4.json b/data/questions/ee/ac/14ea2285ccf4.json new file mode 100644 index 0000000000..7c86796ce6 --- /dev/null +++ b/data/questions/ee/ac/14ea2285ccf4.json @@ -0,0 +1 @@ +{"content":"crwdns2975599:0crwdne2975599:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-3,4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/b8/63af2fe38bb6.json b/data/questions/ee/b8/63af2fe38bb6.json new file mode 100644 index 0000000000..a1aae5a683 --- /dev/null +++ b/data/questions/ee/b8/63af2fe38bb6.json @@ -0,0 +1 @@ +{"content":"Athletes competed for medals in different track and field events at the $2012$ Summer Olympics in London. The table below shows how many gold and silver medals were won by a sample of nations. \n \n**Plot the data in a scatter plot.** \n \n| USA | Russia | Jamaica | Great Britain | Ethiopia | Kenya\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Gold** | $9$ | $8$ | $4$ | $4$ | $3$ | $2$\n**Silver** | $13$ | $4$ | $4$ | $1$ | $1$ | $4$ \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[9,13],[8,4],[4,4],[4,1],[3,1],[2,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["\\ťțéèẍẋťț{ĜǦóòĺľďđ}","\\ťțéèẍẋťț{ŚŜíìĺľṽṿéèŕř}"],"markings":"graph","range":[[-1,10],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/c0/3e8ddab764c2.json b/data/questions/ee/c0/3e8ddab764c2.json new file mode 100644 index 0000000000..5168a6ec01 --- /dev/null +++ b/data/questions/ee/c0/3e8ddab764c2.json @@ -0,0 +1 @@ +{"content":"**Drag the lines so one line goes through points $\\text{A}$ and $\\text{B}$, and the other line goes through points $\\text{A}$ and $\\text{C}$.** \n[[☃ interactive-graph 1]]\n\nThese are lines because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□","correct":true},{"content":"□□□ □□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"graded":true,"options":{"choices":[{"content":"□□□□ □□□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□","correct":false},{"content":"□□□ □□□□□□□□□□","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"id":"interactive-graph 1","options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/1268623d66270bd03a9a8001c96b2bc7d0e45910.png","width":400},"box":[340,340],"correct":{"coords":[[[0,7],[2,-7]],[[-2,-7],[0,7]]],"type":"linear-system"},"editableSettings":["graph","snap","image","measure"],"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/c4/a28dfd848601.json b/data/questions/ee/c4/a28dfd848601.json new file mode 100644 index 0000000000..86389222e5 --- /dev/null +++ b/data/questions/ee/c4/a28dfd848601.json @@ -0,0 +1 @@ +{"content":"crwdns3389879:0$R$crwdnd3389879:0$Rcrwdnd3389879:0{array}crwdnd3389879:0{ccc}crwdnd3389879:0{array}crwdne3389879:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a458f7712ff37ef9cc68e513b64f5e27ae200dea","width":425},"correct":{"coords":[[2,1],[-2,9],[-10,5]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-11,11],[-11,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/d8/cbffc77661be.json b/data/questions/ee/d8/cbffc77661be.json new file mode 100644 index 0000000000..46ca04f949 --- /dev/null +++ b/data/questions/ee/d8/cbffc77661be.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक ऐसा चतुर्भुज (quadrilateral) बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−7.5, 0), (0,6.5), (6.5,0), (0,-4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.5,0],[0,6.5],[-7.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/e4/b7c5b39fd003.json b/data/questions/ee/e4/b7c5b39fd003.json new file mode 100644 index 0000000000..76995eeaaa --- /dev/null +++ b/data/questions/ee/e4/b7c5b39fd003.json @@ -0,0 +1 @@ +{"content":"Move the line segment so one endpoint is at $(0, 0)$ and the other is at $(1, 1)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":true,"range":[[-5,5],[-5,5]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"segment"},"correct":{"type":"segment","coords":[[[0,0],[1,1]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/ec/14fa40d202d6.json b/data/questions/ee/ec/14fa40d202d6.json new file mode 100644 index 0000000000..3f117a077d --- /dev/null +++ b/data/questions/ee/ec/14fa40d202d6.json @@ -0,0 +1 @@ +{"content":"**Select the best interpretation of the following inequality.**\n\n$\\qquad \\left\\lvert -2.2 - x\\right\\rvert > 3$\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"The distance between $-2.2$ and $-x$ is greater than $3$.","correct":false},{"content":"The distance between $-2.2$ and $x$ is greater than $3$.","correct":true},{"content":"The distance between $3$ and $-2.2$ is greater than $x$.","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ee/f7/f48366128bfd.json b/data/questions/ee/f7/f48366128bfd.json new file mode 100644 index 0000000000..e242795619 --- /dev/null +++ b/data/questions/ee/f7/f48366128bfd.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=-8|x |+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[0,1],[1,-7]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/09/bbe6363d6004.json b/data/questions/ef/09/bbe6363d6004.json new file mode 100644 index 0000000000..27155139ce --- /dev/null +++ b/data/questions/ef/09/bbe6363d6004.json @@ -0,0 +1 @@ +{"content":"crwdns3399068:0$f$crwdnd3399068:0$a$crwdnd3399068:0$e$crwdnd3399068:0$f$crwdnd3399068:0$x$crwdnd3399068:0$a$crwdnd3399068:0$b$crwdnd3399068:0$c$crwdnd3399068:0$d$crwdnd3399068:0$e$crwdnd3399068:0$fcrwdnd3399068:0$-8$crwdnd3399068:0$-5$crwdnd3399068:0$0$crwdnd3399068:0$7$crwdnd3399068:0$0$crwdnd3399068:0$f$crwdnd3399068:0$f$crwdne3399068:0","images":{},"widgets":{"interactive-graph 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1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa50666684309d890b7388acdb39a397e4c07987","width":425},"correct":{"coords":[[0,25],[0,-25]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-50,50],[-50,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[10,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/0f/3575a2ef7cd1.json b/data/questions/ef/0f/3575a2ef7cd1.json new file mode 100644 index 0000000000..4fbfbfbefc --- /dev/null +++ b/data/questions/ef/0f/3575a2ef7cd1.json @@ -0,0 +1 @@ +{"content":"crwdns3077848:0$1$crwdnd3077848:0$2$crwdnd3077848:0$3$crwdnd3077848:0$5$crwdnd3077848:0$4$crwdnd3077848:0$6$crwdnd3077848:0$300$crwdnd3077848:0$240$crwdnd3077848:0$360$crwdnd3077848:0$x$crwdnd3077848:0$y$crwdne3077848:0","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"60"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,5],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,20]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/16/9df95f73ada4.json b/data/questions/ef/16/9df95f73ada4.json new file mode 100644 index 0000000000..c5e8145fef --- /dev/null +++ b/data/questions/ef/16/9df95f73ada4.json @@ -0,0 +1 @@ +{"content":"crwdns4132422:0$C$crwdnd4132422:0$2$crwdne4132422:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/79a9b47e5708e71cf1a92f65fc31657efd585125","width":400},"correct":{"coords":[[6,7],[-4,5],[-2,-3]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/2b/b9824261aa84.json b/data/questions/ef/2b/b9824261aa84.json new file mode 100644 index 0000000000..5429075e8c --- /dev/null +++ b/data/questions/ef/2b/b9824261aa84.json @@ -0,0 +1 @@ +{"content":"Draw the ray with initial point at $(0, 0)$ passing through the point $(2, 3)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"ray"},"correct":{"type":"ray","coords":[[0,0],[2,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/35/08fe64d9fd15.json b/data/questions/ef/35/08fe64d9fd15.json new file mode 100644 index 0000000000..864dbd6147 --- /dev/null +++ b/data/questions/ef/35/08fe64d9fd15.json @@ -0,0 +1 @@ +{"content":"Answer two questions about the following table.\n\nAt Buffalo Mild Wings, the price of chicken wings depends on the number of wings that you order.\n\n| | |\n- | :-: | :-:| :-:| :-:\nChicken wings | $8$ | $16$| $24$ \nPrice | $\\$5$ | $\\$8$ | $\\$10$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n**At Buffalo Mild Wings, is the price of chicken wings proportional to the number of wings you order?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[8,5],[16,8],[24,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["$\\text{Chicken wings}$","$\\text{Price}$"],"markings":"graph","range":[[-2,25],[-2,13]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 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9":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5bdc39cb5bd00ae5acdfa05f1f6b5feaa8414dff","width":425},"correct":{"coords":[[-7,4],[-3,-2],[8,1],[6,4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/6a/20057f147a1c.json b/data/questions/ef/6a/20057f147a1c.json new file mode 100644 index 0000000000..2eeafa2fc6 --- /dev/null +++ b/data/questions/ef/6a/20057f147a1c.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/7c/a9cb1301dee8.json b/data/questions/ef/7c/a9cb1301dee8.json new file mode 100644 index 0000000000..1352bdd6af --- /dev/null +++ b/data/questions/ef/7c/a9cb1301dee8.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-7\\sin\\left(\\dfrac{1}{4}x\\right)+1$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,1],[4,-6]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/a1/2f0a45775a1c.json b/data/questions/ef/a1/2f0a45775a1c.json new file mode 100644 index 0000000000..e86c4ee16d --- /dev/null +++ b/data/questions/ef/a1/2f0a45775a1c.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-6,0)$, and the upper-right coordinates are $(-4,0)$. The rectangle has an area of $12$ square units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4fbb5026607ec9ee083b365aa6bcda133adca567":{"height":425,"width":440}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-4,-6],[-4,0],[-6,0],[-6,-6]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/a4/c35e03c5073a.json b/data/questions/ef/a4/c35e03c5073a.json new file mode 100644 index 0000000000..229b385453 --- /dev/null +++ b/data/questions/ef/a4/c35e03c5073a.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(16,11)$. The rectangle is $7$ units wide and $4$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea616a3ebe1422bbcfc63c0e9af13f79af9faabb","width":400},"correct":{"coords":[[9,11],[16,7],[9,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-2,17],[-2,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/ae/e73996acadb5.json b/data/questions/ef/ae/e73996acadb5.json new file mode 100644 index 0000000000..3188436edf --- /dev/null +++ b/data/questions/ef/ae/e73996acadb5.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $5$ units right and $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/33572fae59cd6186b456b47a413e9f5ce79edf33","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[7,3],[7,-3],[2,-6]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/b7/a7fcc2e92203.json b/data/questions/ef/b7/a7fcc2e92203.json new file mode 100644 index 0000000000..76d6c49184 --- /dev/null +++ b/data/questions/ef/b7/a7fcc2e92203.json @@ -0,0 +1 @@ +{"content":"A group of biology students are interested in the effect of pH on enzyme activity. They measure the activity of enzymes A and B at various pH values and plot their data, as shown in the graph below.\n\n[[☃ image 1]]\n\n**Based on the graph, what is the approximate optimal pH for enzyme B?**\n\n[[☃ radio 1]]","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"The x axis on the line graph is labeled pH and has labels at 2,4,6,8,10, 12, and 14. The y axis is labeled enzyme activity. There are no marks on the y axis. There are 2 colored lines on the graph, with a key labeled A blue line and B red line. Line A begins at pH 2 and the origin of the y axis, rises sharply and peaks at pH 6, then declines sharply and returns to the y axis origin at pH 10. Line B begins at pH 6 and the origin of the y axis, rises sharply and peaks at pH 10, then declines sharply and returns to the y axis at pH 14. The peaks of Line A and Line B are at the same enzyme activity level.","backgroundImage":{"height":325,"url":"https://ka-perseus-images.s3.amazonaws.com/01d138e3cf9df665fddb2d4787590ffc2b8bc481.png","width":400},"box":[400,325],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"backgroundImage":{"url":null},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1],"valid":true},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"clue":"An enzyme's optimal pH is the pH at which the enzyme is most active. The graph shows that at pH $6$, enzyme B is essentially inactive. So, pH $6$ is *not* enzyme B's optimal pH.","content":"$6$","correct":false},{"clue":"An enzyme's optimal pH is the pH at which the enzyme is most active. The graph shows that at pH $8$, enzyme B is less active than at other pH values. So, pH $8$ is *not* enzyme B's optimal pH.","content":"$8$","correct":false},{"clue":"The graph shows that enzyme B is most active near pH $10$. So, the approximate optimal pH for enzyme B is $10$.","content":"$10$","correct":true},{"clue":"An enzyme's optimal pH is the pH at which the enzyme is most active. The graph shows that at pH $12$, enzyme B is less active than at other pH values. So, pH $12$ is *not* enzyme B’s optimal pH.","content":"$12$","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/ef/c0/222dd177fe3d.json b/data/questions/ef/c0/222dd177fe3d.json new file mode 100644 index 0000000000..e29ea2d1bc --- /dev/null +++ b/data/questions/ef/c0/222dd177fe3d.json @@ -0,0 +1 @@ +{"content":"**Graph the system of equations. Then find the solution to the system of equations.** \n\n$\\begin{cases}\ny=-\\dfrac{5}{3}x+7\n\\\\\\\\\ny=-\\dfrac{1}{3}x-5\n\\end{cases}$\n\n[[☃ interactive-graph 1]]\n\nThe solution is $\\Big($[[☃ numeric-input 1]]$, $[[☃ numeric-input 2]]$\\Big)$.","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"lockedFigures":[],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[1,1],"coords":[[[0,7],[3,2]],[[-3,-4],[0,-5]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":9,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/dc/dfc4f1a6e180.json b/data/questions/ef/dc/dfc4f1a6e180.json new file mode 100644 index 0000000000..48fde4a5c6 --- /dev/null +++ b/data/questions/ef/dc/dfc4f1a6e180.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-5)^2+(y-2)^2=16$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[5,2],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/e3/b9c9ba5f76c2.json b/data/questions/ef/e3/b9c9ba5f76c2.json new file mode 100644 index 0000000000..439d8e3dd2 --- /dev/null +++ b/data/questions/ef/e3/b9c9ba5f76c2.json @@ -0,0 +1 @@ +{"content":"Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $10\\text{ m}$ and height $15\\text{ m}$.\n\n**Draw the garden such that $1$ unit on the grid below represents $ 2\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"","scale":".16","bottom":"37","left":"32","width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,20],[-2,20]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","numSides":3,"showSides":true},"correct":{"type":"polygon","coords":[[11,6],[6,13.5],[6,6]],"match":"congruent","numSides":3,"showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ef/ee/e9fc1bd93989.json b/data/questions/ef/ee/e9fc1bd93989.json new file mode 100644 index 0000000000..a1b90cd1d0 --- /dev/null +++ b/data/questions/ef/ee/e9fc1bd93989.json @@ -0,0 +1 @@ +{"content":"The graph of $y=h(x)$ is the dashed, green line segment shown below. \n\n**Drag the endpoints of the solid segment below to graph $y=h^{-1}(x)$.\n **\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c2e06d1287d7631948c8f8e3d0d0279a2be3c371","width":425},"correct":{"coords":[[[-6,7],[-1,-2]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/2e/fdd9a87dfbde.json b/data/questions/f0/2e/fdd9a87dfbde.json new file mode 100644 index 0000000000..0b8a550e15 --- /dev/null +++ b/data/questions/f0/2e/fdd9a87dfbde.json @@ -0,0 +1 @@ +{"content":"crwdns3897365:0crwdne3897365:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[-2,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/33/75fbec59dff8.json b/data/questions/f0/33/75fbec59dff8.json new file mode 100644 index 0000000000..385d53b6dd --- /dev/null +++ b/data/questions/f0/33/75fbec59dff8.json @@ -0,0 +1 @@ +{"content":"crwdns2988121:0crwdne2988121:0","images":{"https://ka-perseus-images.s3.amazonaws.com/3612148aef6e164000279caffcc323d506c6c8a1.png":{"height":317,"width":395},"https://ka-perseus-images.s3.amazonaws.com/e5b403fb5e57b69cb05371dce708156c60a2a13f.png":{"height":162,"width":292}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[5.101601255800863,-0.1637674249957186],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/33/fbba42f8e32c.json b/data/questions/f0/33/fbba42f8e32c.json new file mode 100644 index 0000000000..0deefa7fbc --- /dev/null +++ b/data/questions/f0/33/fbba42f8e32c.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x)=f\\left(\\dfrac{1}{4}x \\right)$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":true,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[1,1],"color":"grayH","filled":true},{"type":"point","coord":[-2,-2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"solid","showPoint1":true,"showPoint2":true}],"graph":{"type":"segment"},"correct":{"type":"segment","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[-8,-2],[4,1]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/34/8d27979e71b1.json b/data/questions/f0/34/8d27979e71b1.json new file mode 100644 index 0000000000..576d73ddf8 --- /dev/null +++ b/data/questions/f0/34/8d27979e71b1.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $2$ units to the left and $6$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aff3679ed3f844f921fd59ac9b26ea5eeda848b2","width":425},"correct":{"coords":[[-2,-6],[3,-4],[-2,-3],[-1,-5]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/35/be64147d20d7.json b/data/questions/f0/35/be64147d20d7.json new file mode 100644 index 0000000000..0bb961223e --- /dev/null +++ b/data/questions/f0/35/be64147d20d7.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=x^2+4x+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-3],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/35/e3edda978e97.json b/data/questions/f0/35/e3edda978e97.json new file mode 100644 index 0000000000..0572659491 --- /dev/null +++ b/data/questions/f0/35/e3edda978e97.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-6(x -2)(x)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[1,6],[2,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/4b/a67f3ec0cce4.json b/data/questions/f0/4b/a67f3ec0cce4.json new file mode 100644 index 0000000000..3c78d91bf2 --- /dev/null +++ b/data/questions/f0/4b/a67f3ec0cce4.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d87328ddf5d7ce60c30621834141209d4170c168","width":430},"correct":{"coords":[[2,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/5d/c23aa8e83f28.json b/data/questions/f0/5d/c23aa8e83f28.json new file mode 100644 index 0000000000..60727f6d65 --- /dev/null +++ b/data/questions/f0/5d/c23aa8e83f28.json @@ -0,0 +1 @@ +{"content":"**Graph $12x-9y=36$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-4],[3,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/5e/74b9a9156088.json b/data/questions/f0/5e/74b9a9156088.json new file mode 100644 index 0000000000..8cda3b8f83 --- /dev/null +++ b/data/questions/f0/5e/74b9a9156088.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *minimum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c55e554779b85c6afbe55f9c5cc57d3681b9d35","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[7,1],[-5,-6]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/6e/ddac543846c8.json b/data/questions/f0/6e/ddac543846c8.json new file mode 100644 index 0000000000..1f9ed31d30 --- /dev/null +++ b/data/questions/f0/6e/ddac543846c8.json @@ -0,0 +1 @@ +{"content":"crwdns3897510:0crwdne3897510:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0c55e554779b85c6afbe55f9c5cc57d3681b9d35","width":425},"correct":{"coords":[[7,1],[-5,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/75/3246ec83449b.json b/data/questions/f0/75/3246ec83449b.json new file mode 100644 index 0000000000..cfdbaf4cda --- /dev/null +++ b/data/questions/f0/75/3246ec83449b.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x +4,y -3)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a6a512f996451dff3305296a69fe2a336a66dc0a","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[6,-3],[1,-2],[-3,-2],[2,-5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/94/8acf7469ff02.json b/data/questions/f0/94/8acf7469ff02.json new file mode 100644 index 0000000000..f18d7d9a3b --- /dev/null +++ b/data/questions/f0/94/8acf7469ff02.json @@ -0,0 +1 @@ +{"content":"Consider this matrix transformation:\n\n$\\left[\\begin{array}{c}\n1 & -2\n\\\\\\\\\n-3 & 2\n\\end{array}\\right]$\n\nBelow is an interactive graph with the unit square graphed in it.\n\n**Draw the image of the unit square under this transformation.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e39c1c4aea2324861693fd34915606378a180911","width":425},"correct":{"coords":[[1,-3],[-1,-1],[-2,2],[0,0]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/96/8d129c9812e2.json b/data/questions/f0/96/8d129c9812e2.json new file mode 100644 index 0000000000..22609e37f6 --- /dev/null +++ b/data/questions/f0/96/8d129c9812e2.json @@ -0,0 +1 @@ +{"content":"Four test drivers collected data about a certain car. The points show speed and the stopping distance of the $4$ drivers. \n \nThe fifth driver, Matthew, was driving $15$ kilometers per hour slower than Angela was. Matthew's stopping distance was $5$ meters less than Angela's stopping distance.\n\n**Plot Matthew's point on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b4f52acf539fe22cf7b4478a6b52c57f5e95fb6","width":400},"correct":{"coords":[[35,5]],"type":"point"},"graph":{"type":"point"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-15,105],[-6,44]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,1],"step":[20,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/9b/bcb6a1649c7e.json b/data/questions/f0/9b/bcb6a1649c7e.json new file mode 100644 index 0000000000..1c491d3aa2 --- /dev/null +++ b/data/questions/f0/9b/bcb6a1649c7e.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{7}(x -7)(x +7)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,7],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/9d/26fad63e48df.json b/data/questions/f0/9d/26fad63e48df.json new file mode 100644 index 0000000000..fedff920cf --- /dev/null +++ b/data/questions/f0/9d/26fad63e48df.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\cos\\left(\\dfrac{\\pi}{12}x\\right)+6$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,6],[0,7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/a2/a6d16d31be23.json b/data/questions/f0/a2/a6d16d31be23.json new file mode 100644 index 0000000000..029c312d43 --- /dev/null +++ b/data/questions/f0/a2/a6d16d31be23.json @@ -0,0 +1 @@ +{"content":"**Move the ray so it has an endpoint at point $\\text{A}$ and goes through point $\\text{B}$. Then complete the statement below.**\n\n[[☃ interactive-graph 1]]\n\nThis is a ray because it has [[☃ dropdown 1]], and it continues forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":false},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":true},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":true},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/b11da9535dfcfde9c2afc3d87b62051d19f01586.png","width":400},"correct":{"coords":[[-7,-3],[7,3]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/aa/7765de8c47f4.json b/data/questions/f0/aa/7765de8c47f4.json new file mode 100644 index 0000000000..8c0e40c514 --- /dev/null +++ b/data/questions/f0/aa/7765de8c47f4.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $C$ and scale factor is $2$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/79a9b47e5708e71cf1a92f65fc31657efd585125","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[6,7],[-4,5],[-2,-3]],"showAngles":false,"snapTo":"grid","showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/b3/7d62280760f2.json b/data/questions/f0/b3/7d62280760f2.json new file mode 100644 index 0000000000..218ce5ff85 --- /dev/null +++ b/data/questions/f0/b3/7d62280760f2.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $2$, Rule: add $3$\n\nPattern $y$: Starting number: $2$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$2$ | $2$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,2],[5,5],[8,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/b4/0587d8e08ffb.json b/data/questions/f0/b4/0587d8e08ffb.json new file mode 100644 index 0000000000..82af173618 --- /dev/null +++ b/data/questions/f0/b4/0587d8e08ffb.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$5$|$4$|$3$|$2$|$1$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd5727c0aa8f813e1fcbdb2cd2a25e224cccde6","width":400},"correct":{"coords":[[[-5,6],[5,-7]],[[-5,3],[5,-4]],[[-5,0],[5,-1]],[[-5,-3],[5,2]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/f0/ba/7b5c02ab8ba4.json b/data/questions/f0/ba/7b5c02ab8ba4.json new file mode 100644 index 0000000000..22f0fcee2a --- /dev/null +++ b/data/questions/f0/ba/7b5c02ab8ba4.json @@ -0,0 +1 @@ +{"content":"Kole swims multiple laps at the pool every day during the summer.\n\nThey recorded the number of laps they swam and how long (in minutes) their swimming session lasted for five days this week.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Laps** | $17$ | $13$ | $20$ | $15$ | $16$\n**Time (min)** | $32$ | $23$ | $35$ | $25$ | $28$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"box":[288,288],"correct":{"coords":[[17,32],[13,23],[20,35],[15,25],[16,28]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,5],"labels":["$\\text{Laps}$","$\\text{Time}$"],"markings":"graph","range":[[-1,24],[-2,36]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,2.5],"step":[2,2],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/bc/7e3c9933d5ae.json b/data/questions/f0/bc/7e3c9933d5ae.json new file mode 100644 index 0000000000..ed108e4b45 --- /dev/null +++ b/data/questions/f0/bc/7e3c9933d5ae.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e1b3449b2152ccdf6a7b44dbf417286ca8ffdb2a","width":425},"correct":{"coords":[[-3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/c0/1f6ca2c65544.json b/data/questions/f0/c0/1f6ca2c65544.json new file mode 100644 index 0000000000..2a875e349a --- /dev/null +++ b/data/questions/f0/c0/1f6ca2c65544.json @@ -0,0 +1 @@ +{"content":"crwdns3295087:0$0$crwdnd3295087:0$1$crwdnd3295087:0$2$crwdnd3295087:0$3$crwdnd3295087:0$4$crwdnd3295087:0$5.50$crwdnd3295087:0$6.50$crwdnd3295087:0$7.00$crwdnd3295087:0$7.50$crwdnd3295087:0$7.50$crwdne3295087:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,6.5],[0,5.5],[2,7],[3,7.5],[4,7.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["crwdns3295065:0{Years}crwdne3295065:0","crwdns3295064:0{Wage}crwdne3295064:0"],"markings":"graph","range":[[-0.5,5],[-1,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/c4/66161b2f96f3.json b/data/questions/f0/c4/66161b2f96f3.json new file mode 100644 index 0000000000..15587de15d --- /dev/null +++ b/data/questions/f0/c4/66161b2f96f3.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ac7f013eb28eb7af13e4bd5e5bdf9f19c5fccd69","width":425},"correct":{"coords":[[5,-8],[5,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/cc/fd7c5ea5ecdc.json b/data/questions/f0/cc/fd7c5ea5ecdc.json new file mode 100644 index 0000000000..a42182e209 --- /dev/null +++ b/data/questions/f0/cc/fd7c5ea5ecdc.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $2$\n\nPattern $y$: Starting number: $4$, Rule: add $1$\n\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":10}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/d0/7f4bfd42b388.json b/data/questions/f0/d0/7f4bfd42b388.json new file mode 100644 index 0000000000..23e1c9ac0b --- /dev/null +++ b/data/questions/f0/d0/7f4bfd42b388.json @@ -0,0 +1 @@ +{"content":"**Graph the point $(0,?)$ that is a solution to the equation:**\n\n$y-1=2(x+3)$\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,7]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/d1/08eefaed77a2.json b/data/questions/f0/d1/08eefaed77a2.json new file mode 100644 index 0000000000..e3b6992f4e --- /dev/null +++ b/data/questions/f0/d1/08eefaed77a2.json @@ -0,0 +1 @@ +{"content":"crwdns6420653:0$ycrwdne6420653:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[2,-10],[2,10]],"coords":[[1,0],[-1,3]],"type":"logarithm"},"graph":{"backgroundImage":{"url":""},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/dc/e7671040f606.json b/data/questions/f0/dc/e7671040f606.json new file mode 100644 index 0000000000..d1e45453f3 --- /dev/null +++ b/data/questions/f0/dc/e7671040f606.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-3(x+1)^2+5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,5],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/ef/b3619ceb1977.json b/data/questions/f0/ef/b3619ceb1977.json new file mode 100644 index 0000000000..3c9feda8b0 --- /dev/null +++ b/data/questions/f0/ef/b3619ceb1977.json @@ -0,0 +1 @@ +{"content":"Under which of the following conditions would one expect ATP hydrolysis to be non-spontaneous?\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"ŃŇóò éèńňźžýḿṁéèśŝ áàṽṿáàíìĺľáàƀḃĺľéè ťțóò ĺľóòẃẁéèŕř áàćĉťțíìṽṿáàťțíìóòńň éèńňéèŕřĝǧý","correct":false},{"content":"ÁÀ ṽṿéèŕřý ƀḃáàśŝíìćĉ éèńňṽṿíìŕřóòńňḿṁéèńňťț (ĥȟíìĝǧĥȟ ćĉóòńňćĉéèńňťțŕřáàťțíìóòńň óòḟ ṕṗŕřóòťțóòńň áàćĉćĉéèṕṗťțóòŕřśŝ)","correct":false},{"content":"A temperature slightly below $37^\\circ\\text{C}$","correct":false,"isNoneOfTheAbove":false},{"content":"ÁÀŤŢṔṖ ćĉóòńňćĉéèńňťțŕřáàťțíìóòńňśŝ ṽṿéèŕřý ḟáàŕř ƀḃéèĺľóòẃẁ éèʠúùíìĺľíìƀḃŕříìúùḿṁ ćĉóòńňćĉéèńňťțŕřáàťțíìóòńň, áàńňďđ ÁÀĎĐṔṖ ćĉóòńňćĉéèńňťțŕřáàťțíìóòńňśŝ ṽṿéèŕřý ḟáàŕř áàƀḃóòṽṿéè éèʠúùíìĺľíìƀḃŕříìúùḿṁ ćĉóòńňćĉéèńňťțŕřáàťțíìóòńň","correct":true,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/f0/f4/2299dc563231.json b/data/questions/f0/f4/2299dc563231.json new file mode 100644 index 0000000000..7e706a738c --- /dev/null +++ b/data/questions/f0/f4/2299dc563231.json @@ -0,0 +1 @@ +{"content":"crwdns3354910:0$m$crwdnd3354910:0$z_1$crwdnd3354910:0$z_2$crwdne3354910:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8473b1c8a41fc0f3ac481818a8598bf19593c3ba","width":430},"correct":{"coords":[[-1.5,1.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/f5/38278dbbadb8.json b/data/questions/f0/f5/38278dbbadb8.json new file mode 100644 index 0000000000..1582acd12f --- /dev/null +++ b/data/questions/f0/f5/38278dbbadb8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +4y -60=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[0,-2],"radius":8,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f0/fe/dafa1186e32d.json b/data/questions/f0/fe/dafa1186e32d.json new file mode 100644 index 0000000000..392d4b127a --- /dev/null +++ b/data/questions/f0/fe/dafa1186e32d.json @@ -0,0 +1 @@ +{"content":"Tyler collected data on his $5$ pets. The points show the age and mass of $4$ of his pets. His fifth pet, Wings, has a mass of $3\\text{ kg}$ and is $17$ years old.\n \n**Plot Wings's mass and age on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]\n\n**Which of Tyler's pets has the smallest mass?**\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8d7b6afd9deefb286578725fdbb18a39ae3a17ac","width":400},"correct":{"coords":[[3,17]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-3,20],[-3,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3025613:0crwdne3025613:0","correct":true},{"content":"crwdns3025619:0crwdne3025619:0","correct":false},{"content":"crwdns3473012:0crwdne3473012:0","correct":false},{"content":"crwdns3025601:0crwdne3025601:0","correct":false},{"content":"crwdns3766944:0crwdne3766944:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/f1/0e/419882de2dd7.json b/data/questions/f1/0e/419882de2dd7.json new file mode 100644 index 0000000000..661c793a0d --- /dev/null +++ b/data/questions/f1/0e/419882de2dd7.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $5$ units in $t$ corresponds to an increase of $2$ units in $d$.\n \n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the line.**\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"0.4"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ťț","ďđ"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/10/a377b546c5e9.json b/data/questions/f1/10/a377b546c5e9.json new file mode 100644 index 0000000000..66e64f24bc --- /dev/null +++ b/data/questions/f1/10/a377b546c5e9.json @@ -0,0 +1 @@ +{"content":"$\\triangle{EAR}$ is rotated $180^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 3":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c08b4c3169f1a6c081e6eaeb44eae2facb895f1e","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","coords":[[6,-4],[5,6],[2,-2]],"numSides":3,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/19/1fb2830ee27a.json b/data/questions/f1/19/1fb2830ee27a.json new file mode 100644 index 0000000000..f61b4a98f9 --- /dev/null +++ b/data/questions/f1/19/1fb2830ee27a.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in standard form:\n\n$\\qquad f(x)=3x^2+24x+45$\n\n**What is the function's rightmost $x$-intercept?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-4,-3],[-3,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-3},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-5}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/1a/d78238ce578f.json b/data/questions/f1/1a/d78238ce578f.json new file mode 100644 index 0000000000..e4ddbf9ebd --- /dev/null +++ b/data/questions/f1/1a/d78238ce578f.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/6b675708f3831dd6c61a41dad5b0c56a89f9e7ef.png","width":400},"correct":{"coords":[[4,-2.5],[4,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/3c/b9e886e838d6.json b/data/questions/f1/3c/b9e886e838d6.json new file mode 100644 index 0000000000..4e9dca90bd --- /dev/null +++ b/data/questions/f1/3c/b9e886e838d6.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-\\dfrac{1}{2}(x-2)^2-4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-4],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/44/438469bf6c71.json b/data/questions/f1/44/438469bf6c71.json new file mode 100644 index 0000000000..9bc5b34e3a --- /dev/null +++ b/data/questions/f1/44/438469bf6c71.json @@ -0,0 +1 @@ +{"content":"The table below shows the relationship between quiz scores and study time (in hours) for each $20$-point quiz Dexter took this year. \n\n**Plot the data in a scatter plot.** \n\n|||||||\n:-- | --: | --: | --: | --: | --: | --: |\n**Study time (hours)** | $0.75$ | $1$ | $0$ | $3.25$ | $0.25$ | $2$ \n**Score** | $15$ | $13$ | $7$ | $19$ | $12$ | $16$ \n\n\n \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[0.5,2],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["$\\text{Hours}$","$\\text{Score}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-0.5,4],[-2,21]],"gridStep":[0.5,1],"snapStep":[0.25,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,13],[0,7],[3.25,19],[0.75,15],[0.25,12],[2,16]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/52/0c4cc0ca3225.json b/data/questions/f1/52/0c4cc0ca3225.json new file mode 100644 index 0000000000..273a499262 --- /dev/null +++ b/data/questions/f1/52/0c4cc0ca3225.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebfe60eb69251f2e94646716bfae9426f843287b","width":425},"correct":{"coords":[[2,1],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/66/1c3c0ae9171e.json b/data/questions/f1/66/1c3c0ae9171e.json new file mode 100644 index 0000000000..927a7aad5c --- /dev/null +++ b/data/questions/f1/66/1c3c0ae9171e.json @@ -0,0 +1 @@ +{"content":"**Construct a $30^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-7.604667861756446,1.2358564987035274],[-2,-2],[-8.819865009834583,-1.9999999999999991]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/67/4d07ef2e31b8.json b/data/questions/f1/67/4d07ef2e31b8.json new file mode 100644 index 0000000000..88ee5febcd --- /dev/null +++ b/data/questions/f1/67/4d07ef2e31b8.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under the translation $(x,y)\\to(x -6,y -7)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/98ba2b12f41548864f06d7baf26135a882752fa4","width":425},"correct":{"coords":[[1,-7],[-2,-3],[-4,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/6b/62144e06da2c.json b/data/questions/f1/6b/62144e06da2c.json new file mode 100644 index 0000000000..e6dba96dde --- /dev/null +++ b/data/questions/f1/6b/62144e06da2c.json @@ -0,0 +1 @@ +{"content":"[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear","quadratic","sinusoid","tangent","absolute_value","logarithm","exponential"],"correct":{"asymptote":[],"coords":[],"type":"linear"},"graph":{"backgroundImage":{"height":0,"url":null,"width":0},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/76/8b5b94fcba4b.json b/data/questions/f1/76/8b5b94fcba4b.json new file mode 100644 index 0000000000..cb81d873ab --- /dev/null +++ b/data/questions/f1/76/8b5b94fcba4b.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1-z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/68c9ef018a8ed2c5b080a4c527a969759fcedd29","width":430},"correct":{"coords":[[6,-3]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/7b/2a8a67bc3fa8.json b/data/questions/f1/7b/2a8a67bc3fa8.json new file mode 100644 index 0000000000..d5483589dc --- /dev/null +++ b/data/questions/f1/7b/2a8a67bc3fa8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x -10y +20=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/89/901ea52c1119.json b/data/questions/f1/89/901ea52c1119.json new file mode 100644 index 0000000000..c070b8bb2a --- /dev/null +++ b/data/questions/f1/89/901ea52c1119.json @@ -0,0 +1 @@ +{"content":"Each small square in the figure below has an area of $1$ unit$^2$.\n\n**What is the area of the entire figure?** \n [[☃ input-number 1]] units$^2$\n\n**Move the points to make a rectangle with an area of $\\dfrac{1}{7}$ of the large shape.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":49},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/ae42002aa864e86b38a696b8f23f14a0bc356c80.png","width":400},"correct":{"coords":[[8,3],[8,4],[1,4],[1,3]],"match":"congruent","numSides":4,"showAngles":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[0,10],[0,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/98/755d7389b75c.json b/data/questions/f1/98/755d7389b75c.json new file mode 100644 index 0000000000..ac63a91f90 --- /dev/null +++ b/data/questions/f1/98/755d7389b75c.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to graph $\\left(8, -5\\right)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,-5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/9b/7217e3504240.json b/data/questions/f1/9b/7217e3504240.json new file mode 100644 index 0000000000..f6e48eba2e --- /dev/null +++ b/data/questions/f1/9b/7217e3504240.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=4e^{0.5x-1}-2$ and let $g(x)=\\dfrac45x+1$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $4e^{0.5x-1}-2=\\dfrac45x+1$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[0,1],[5,5]],"type":"linear"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0d576246b662a2761e1de12b4c5f3664b4855817","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":2.42},{"maxError":0.5,"message":"□□'□□ □□□□□ □□ □□□□ □□□ □□□□□□□ □□ □□□ □□□ □□□□□□□□□. □□□□ □□□□□□□□□□□□ □□□ □□□□□□ □□□□□□□□. ","simplify":"required","status":"wrong","strict":false,"value":-3.4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/9f/fccdc0a4bcb1.json b/data/questions/f1/9f/fccdc0a4bcb1.json new file mode 100644 index 0000000000..80407a001a --- /dev/null +++ b/data/questions/f1/9f/fccdc0a4bcb1.json @@ -0,0 +1 @@ +{"content":"**Plot $\\large -4i$ in the complex plane.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0,-4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["$\\text{Re}$","$\\text{Im}$"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/b7/4796a365e455.json b/data/questions/f1/b7/4796a365e455.json new file mode 100644 index 0000000000..ad8c80f90d --- /dev/null +++ b/data/questions/f1/b7/4796a365e455.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=\\sqrt{10} \\left( \\cos(162 \\degree) + i\\sin(162 \\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[-3,1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/b7/8d51959f7e28.json b/data/questions/f1/b7/8d51959f7e28.json new file mode 100644 index 0000000000..202c084a83 --- /dev/null +++ b/data/questions/f1/b7/8d51959f7e28.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(-6, 6)$.** \n$$ \n\n\n\n[[☃ image 1]]\n\n**What is located $5$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"image 1":{"alignment":"block","graded":true,"options":{"alt":"A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled A is 1 unit to the right of and 6 units up from the origin. A solid point, labeled B, is 6 units to the left of and 1 unit up from the origin. A solid point labeled C is 1 unit to the left of and 6 units down from the origin.","backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9837fe65e4d705c96c0055fa9368d31ceec749f","width":425},"box":[425,425],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-58be31","options":{"color":"#6495ED","coordX":"-3","coordY":"2"},"type":"point"},{"key":"point-76fcfd","options":{"color":"#6495ED","coordX":"8","coordY":"-8"},"type":"point"},{"key":"point-123abf","options":{"color":"#6495ED","coordX":"9","coordY":"8"},"type":"point"},{"key":"label-1f27d2","options":{"color":"black","coordX":"-3.5","coordY":"2.5","label":"A"},"type":"label"},{"key":"label-a3dc10","options":{"color":"black","coordX":"2.5","coordY":"7.5","label":"B"},"type":"label"},{"key":"label-230bbe","options":{"color":"black","coordX":"8.5","coordY":"-5.5","label":"C"},"type":"label"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-3,-4],[-3,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":13},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-13}],"coefficient":false,"size":"small"},"type":"numeric-input","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":true},{"content":"Point $C$","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/bf/7f63ad19e9ab.json b/data/questions/f1/bf/7f63ad19e9ab.json new file mode 100644 index 0000000000..e1c594970c --- /dev/null +++ b/data/questions/f1/bf/7f63ad19e9ab.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{y=-2x-7}$\n\n$\\qquad\\pink{3y-5x=12}$\n\n**Create a new equation by setting the left-hand sides of the equations equal to each other and solving for $y$.** \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":true},{"content":"is also","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"5/2 x = y"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3b0630b854540f05c625a6fc399d36ce1f9c9c20.png","width":425},"correct":{"coords":[[2,5],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/c3/b1e819d087f5.json b/data/questions/f1/c3/b1e819d087f5.json new file mode 100644 index 0000000000..97fa863fcf --- /dev/null +++ b/data/questions/f1/c3/b1e819d087f5.json @@ -0,0 +1 @@ +{"content":"crwdns4070487:0$ycrwdnd4070487:0{1}crwdnd4070487:0{7}crwdne4070487:0","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[0,7],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/e3/542491be235c.json b/data/questions/f1/e3/542491be235c.json new file mode 100644 index 0000000000..2d25600fdc --- /dev/null +++ b/data/questions/f1/e3/542491be235c.json @@ -0,0 +1 @@ +{"content":"The four corners of a square are located at the points $(1,8)$, $(7,8)$, $(1,2)$, and $(7,2)$.\n\n\n**Plot the four corners of the square on the coordinate plane below.**\n\n[[☃ interactive-graph 1]] \n\n**How long is each side of the square?** \n\n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,2],[1,8],[7,8],[7,2]],"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/fb/917878e5f13b.json b/data/questions/f1/fb/917878e5f13b.json new file mode 100644 index 0000000000..e4313d71aa --- /dev/null +++ b/data/questions/f1/fb/917878e5f13b.json @@ -0,0 +1 @@ +{"content":"crwdns6347439:0$xcrwdne6347439:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[-1,3],[-1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/fd/15408116e459.json b/data/questions/f1/fd/15408116e459.json new file mode 100644 index 0000000000..177dfa1af8 --- /dev/null +++ b/data/questions/f1/fd/15408116e459.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=2x^3-x^2-8x+4$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[2,0],[-2,0],[0.5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f1/fe/4523131cfd4e.json b/data/questions/f1/fe/4523131cfd4e.json new file mode 100644 index 0000000000..fc6d2df6b1 --- /dev/null +++ b/data/questions/f1/fe/4523131cfd4e.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $3$, Rule: add $1$\n\nPattern $y$: Starting number: $9$, Rule: add $3$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$3$ | $9$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,9],[4,12],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/0c/f524a9aa5a82.json b/data/questions/f2/0c/f524a9aa5a82.json new file mode 100644 index 0000000000..0e5cbb399e --- /dev/null +++ b/data/questions/f2/0c/f524a9aa5a82.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$1$|$25$|$4$|$4$|$25$\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n[[☃ radio 2]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/92eccab0edfb33247074989283fce477c5727d8b","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,1]],[[-5,-3],[5,1]],[[-5,-6],[5,-2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/f2/12/13eeec71705a.json b/data/questions/f2/12/13eeec71705a.json new file mode 100644 index 0000000000..20e2a4545c --- /dev/null +++ b/data/questions/f2/12/13eeec71705a.json @@ -0,0 +1 @@ +{"content":"**नीचे दिए गए आलेख पर क्लिक करके एक ऐसा चतुर्भुज (quadrilateral) बनाइए, जिसके शीर्ष निम्नलिखित बिंदुओं पर हों।**\n\n$(−7.5, 0), (0,6.5), (6.5,0), (0,-4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[6.5,0],[0,6.5],[-7.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/f2/20/54ae9992d531.json b/data/questions/f2/20/54ae9992d531.json new file mode 100644 index 0000000000..868361f869 --- /dev/null +++ b/data/questions/f2/20/54ae9992d531.json @@ -0,0 +1 @@ +{"content":"**Drag the dot to plot $(6,0)$, and then select its location on the coordinate plane.**\n\n\n[[☃ interactive-graph 1]]\n\n**Where is $(6,0)$ located on the coordinate plane?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,0]],"type":"point"},"graph":{"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□□□□□□□ ","correct":false},{"content":"□□□□□□ □□□□□□□□ ","correct":false},{"content":"□□□□□ □□□□□□□□","correct":false},{"content":"□□□□□□ □□□□□□□□","correct":false},{"content":"$x$-axis","correct":true},{"content":"$y$-axis","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/f2/2a/41bd23278542.json b/data/questions/f2/2a/41bd23278542.json new file mode 100644 index 0000000000..f89d766acc --- /dev/null +++ b/data/questions/f2/2a/41bd23278542.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=-4(x-2)^2+8.5$\n\n**What is the $y$-intercept of the function?**\n\n$\\qquad$[[☃ input-number 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[2,8.5],[0,-7.5]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"editableSettings":["graph","snap","image","measure"],"gridStep":[0.5,1],"labels":["x","y"],"markings":"graph","range":[[-6,6],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.5],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-7.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":8.5},"type":"input-number","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/41/7426a5bad7c9.json b/data/questions/f2/41/7426a5bad7c9.json new file mode 100644 index 0000000000..235656af0c --- /dev/null +++ b/data/questions/f2/41/7426a5bad7c9.json @@ -0,0 +1 @@ +{"content":"**In the interactive graph below, use the points to draw a line through the point $(2,6)$ in order to construct a system of linear equations with exactly one solution, $(-6,4)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a5606330636fcdb3e2a485f59e858aaaabe3b0d9","width":425},"correct":{"coords":[[-6,4],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/44/140198566e32.json b/data/questions/f2/44/140198566e32.json new file mode 100644 index 0000000000..554ef64337 --- /dev/null +++ b/data/questions/f2/44/140198566e32.json @@ -0,0 +1 @@ +{"content":"Joe is building a fort for his little brother out of boxes. He is wondering how much room there will be inside the fort.\n \n[[☃ image 1]]\n\n**How much space is inside the fort?** \n*Give an exact answer (do not round).*\n\n[[☃ numeric-input 1]] $\\text{m}^3$","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93561403499bb1a5d58b4bfaa4532daa6e3d14ba":{"width":280,"height":169}},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":0.5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[280,169],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93561403499bb1a5d58b4bfaa4532daa6e3d14ba","width":280,"height":169},"labels":[],"alt":"Two rectangles that share a common side. The larger rectangle is labeled with length equals 1 meter and width equals 0.75 meters. The smaller rectangle is labeled with length equals 0.5 meters and width equals 0.5 meters.","caption":"","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false}}} diff --git a/data/questions/f2/57/443fd98cb446.json b/data/questions/f2/57/443fd98cb446.json new file mode 100644 index 0000000000..4e74772cf9 --- /dev/null +++ b/data/questions/f2/57/443fd98cb446.json @@ -0,0 +1 @@ +{"content":"The climbing center wants to build a new gym halfway between the towns of Southville and Northville. Northville is located at $(6,10)$ on the map below. Southville is located at $(6,2)$. \n\n**Plot Northville, Southville, and the new gym on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the climbing center build its new gym?** \n $($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,2],[6,10],[6,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/58/ae7f8c1cfd90.json b/data/questions/f2/58/ae7f8c1cfd90.json new file mode 100644 index 0000000000..8481c84725 --- /dev/null +++ b/data/questions/f2/58/ae7f8c1cfd90.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3x+7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,7],[1,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/5c/2be5b57a604e.json b/data/questions/f2/5c/2be5b57a604e.json new file mode 100644 index 0000000000..9b4231e4d9 --- /dev/null +++ b/data/questions/f2/5c/2be5b57a604e.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=4\\cos(0.25x-0.25\\pi)-3$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[6,-3],[2,1]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/5f/e33a0ae2d614.json b/data/questions/f2/5f/e33a0ae2d614.json new file mode 100644 index 0000000000..644a831665 --- /dev/null +++ b/data/questions/f2/5f/e33a0ae2d614.json @@ -0,0 +1 @@ +{"content":"**Construct a $65^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/010bd9a1372067e0ba8f221d96970a5e7d20601a.png":{"height":183,"width":155},"https://ka-perseus-images.s3.amazonaws.com/70b8d3bdaa05df7352113009f888df338afd38fe.png":{"height":381,"width":365}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[-3.523450338056899,-1.443936365965234],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/6a/c5ae2563ed36.json b/data/questions/f2/6a/c5ae2563ed36.json new file mode 100644 index 0000000000..96371b514e --- /dev/null +++ b/data/questions/f2/6a/c5ae2563ed36.json @@ -0,0 +1 @@ +{"content":"**Plot the midpoint $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b538cff00325e87e4aa6fef2f9fbe4f59b7eee8a","width":430},"correct":{"coords":[[-2,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/6b/e0575e0990b8.json b/data/questions/f2/6b/e0575e0990b8.json new file mode 100644 index 0000000000..de2be35c15 --- /dev/null +++ b/data/questions/f2/6b/e0575e0990b8.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{6}{5}x+1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,1],[5,7]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/7a/ce6357d039d0.json b/data/questions/f2/7a/ce6357d039d0.json new file mode 100644 index 0000000000..7ddec5471b --- /dev/null +++ b/data/questions/f2/7a/ce6357d039d0.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=2^{x+1}-3$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-3],[10,-3]],"coords":[[0,-1],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/8a/7416e89f95c8.json b/data/questions/f2/8a/7416e89f95c8.json new file mode 100644 index 0000000000..d538c82239 --- /dev/null +++ b/data/questions/f2/8a/7416e89f95c8.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-4)^2+(y+3)^2=16$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[4,-3],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/8e/48c07dbffad5.json b/data/questions/f2/8e/48c07dbffad5.json new file mode 100644 index 0000000000..29d58bef55 --- /dev/null +++ b/data/questions/f2/8e/48c07dbffad5.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map $\\triangle{BIT}$ onto the other triangle below.**\n\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57ace3f006de3945ab51bd73928eb0195b7c297b","width":425},"correct":{"coords":[[1,5],[0,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/9d/9a454145802a.json b/data/questions/f2/9d/9a454145802a.json new file mode 100644 index 0000000000..7ccda73de8 --- /dev/null +++ b/data/questions/f2/9d/9a454145802a.json @@ -0,0 +1 @@ +{"content":"crwdns3077823:0$ycrwdne3077823:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[2,5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns2684677:0crwdne2684677:0","correct":true},{"content":"crwdns2922252:0$y$crwdnd2922252:0$x$crwdnd2922252:0{2}crwdnd2922252:0{5}crwdne2922252:0","correct":false},{"content":"crwdns2684886:0$2.5.$crwdne2684886:0","correct":true},{"content":"crwdns2922199:0$5$crwdnd2922199:0$x$crwdnd2922199:0$2$crwdnd2922199:0$y$crwdne2922199:0","correct":false},{"content":"crwdns2922192:0$2$crwdnd2922192:0$x$crwdnd2922192:0$5$crwdnd2922192:0$y$crwdne2922192:0","correct":true}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/a0/718c286614f2.json b/data/questions/f2/a0/718c286614f2.json new file mode 100644 index 0000000000..23830339aa --- /dev/null +++ b/data/questions/f2/a0/718c286614f2.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_2(-x)-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"logarithm","asymptote":[[0,-10],[0,10]],"coords":[[-1,-9],[-8,0]]},"availableTypes":["logarithm"],"graph":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"valid":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/a3/35283f36b9ad.json b/data/questions/f2/a3/35283f36b9ad.json new file mode 100644 index 0000000000..7b1c6a0db0 --- /dev/null +++ b/data/questions/f2/a3/35283f36b9ad.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(18,18)$. The rectangle is $10$ units wide and $8$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ed35c51ae38dd20d4df0cb3d380891bb3b7bf178","width":400},"correct":{"coords":[[8,18],[8,10],[18,10]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-2,19],[-2,19]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/bf/0c23619065d0.json b/data/questions/f2/bf/0c23619065d0.json new file mode 100644 index 0000000000..97b06e5601 --- /dev/null +++ b/data/questions/f2/bf/0c23619065d0.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$11$|$15$|$9$|$13$|$7$\n\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n\n[[☃ radio 2]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/03c39200d42bf28d97d5cc221f22c45b23d68a5d","width":400},"correct":{"coords":[[[-5,6],[5,-1]],[[-5,3],[5,-7]],[[-5,0],[5,2]],[[-5,-3],[5,-4]],[[-5,-6],[5,5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":true},{"content":"$f$ is not invertible","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/f2/d0/d0f3bb529ccc.json b/data/questions/f2/d0/d0f3bb529ccc.json new file mode 100644 index 0000000000..2c75ab7917 --- /dev/null +++ b/data/questions/f2/d0/d0f3bb529ccc.json @@ -0,0 +1 @@ +{"content":"[Q3] Draw the ray with initial point at $(0, 0)$ passing through the point $(2, 3)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"ray"},"correct":{"type":"ray","coords":[[0,0],[2,3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/d3/8ffce54f1b8c.json b/data/questions/f2/d3/8ffce54f1b8c.json new file mode 100644 index 0000000000..99210ee493 --- /dev/null +++ b/data/questions/f2/d3/8ffce54f1b8c.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $5$, $12$, and $13.$**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.200000000000003,-2.4248711305964292],[-0.023446292190627105,9.869944907758159],[-0.7897936071363304,-2.1055597493690543]],"match":"similar","showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/e0/406b10879c3c.json b/data/questions/f2/e0/406b10879c3c.json new file mode 100644 index 0000000000..e14dbd0355 --- /dev/null +++ b/data/questions/f2/e0/406b10879c3c.json @@ -0,0 +1 @@ +{"content":"crwdns5571999:0crwdne5571999:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-6],[8,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/f1/97646d5e708a.json b/data/questions/f2/f1/97646d5e708a.json new file mode 100644 index 0000000000..b39f976eda --- /dev/null +++ b/data/questions/f2/f1/97646d5e708a.json @@ -0,0 +1 @@ +{"content":"The upper-left coordinates on a rectangle are $(-3,2)$, and the upper-right coordinates are $(6, 2)$. The rectangle has a perimeter of $30$ units. \n\n**Draw the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[6,-4],[6,2],[-3,2],[-3,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f2/ff/69ef20ff249d.json b/data/questions/f2/ff/69ef20ff249d.json new file mode 100644 index 0000000000..b9f92dd69c --- /dev/null +++ b/data/questions/f2/ff/69ef20ff249d.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f1ad8c96fd2cd069e2f38e939d0c94baa568395)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/39906df8e87dc828f9f4b1f62f76f1f5ec141201.png":{"height":248,"width":143},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0f1ad8c96fd2cd069e2f38e939d0c94baa568395":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["ṔṖóòíìńňťț","ṼṾáàĺľúùéè"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$\\dfrac25$","$-0.2$","$-\\dfrac45$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/03/bb3807b0d386.json b/data/questions/f3/03/bb3807b0d386.json new file mode 100644 index 0000000000..a0848b1dd8 --- /dev/null +++ b/data/questions/f3/03/bb3807b0d386.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -14x -12y +76=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[7,6],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/09/32157dc40e67.json b/data/questions/f3/09/32157dc40e67.json new file mode 100644 index 0000000000..9db5555d6b --- /dev/null +++ b/data/questions/f3/09/32157dc40e67.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under the translation $(x,y)\\to(x+1,y+2)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c3f09f72e57a6eaafa9895f8597c91808878906d","width":425},"correct":{"coords":[[-3,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/0d/21c9a94b309a.json b/data/questions/f3/0d/21c9a94b309a.json new file mode 100644 index 0000000000..05850012f1 --- /dev/null +++ b/data/questions/f3/0d/21c9a94b309a.json @@ -0,0 +1 @@ +{"content":"The climbing center wants to build a new gym halfway between the towns of Southville and Northville. Northville is located at $(6,10)$ on the map below. Southville is located at $(6,2)$. \n\n**Plot Northville, Southville, and the new gym on the map.**\n\n[[☃ interactive-graph 1]] \n\n**At what coordinates should the climbing center build its new gym?** \n $($[[☃ input-number 1]]$,\\,$[[☃ input-number 2]]$)$","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"rightAlign":false,"simplify":"required","size":"small","value":6},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,2],[6,10],[6,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/1d/365b274945f6.json b/data/questions/f3/1d/365b274945f6.json new file mode 100644 index 0000000000..c1f3f58972 --- /dev/null +++ b/data/questions/f3/1d/365b274945f6.json @@ -0,0 +1 @@ +{"content":"crwdns3077958:0{ m}crwdnd3077958:0{ m}crwdne3077958:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2d2cb1500c43f1f01f65362b0b607c29cbd0163f.png","width":400},"correct":{"coords":[[3,-9],[3,7],[-7,7],[-7,-9]],"match":"congruent","numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/2d/e44e5d0043d3.json b/data/questions/f3/2d/e44e5d0043d3.json new file mode 100644 index 0000000000..fa2063d534 --- /dev/null +++ b/data/questions/f3/2d/e44e5d0043d3.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=2\\left(\\dfrac12\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,2],[1,1]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/31/ddd2a6efea09.json b/data/questions/f3/31/ddd2a6efea09.json new file mode 100644 index 0000000000..609013d3d0 --- /dev/null +++ b/data/questions/f3/31/ddd2a6efea09.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute maximum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/189b44a485844e57a098744db13741694173ac16","width":425},"correct":{"coords":[[-3,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/4c/307e4a1901b5.json b/data/questions/f3/4c/307e4a1901b5.json new file mode 100644 index 0000000000..249d14c238 --- /dev/null +++ b/data/questions/f3/4c/307e4a1901b5.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/150228ec3c6d4bb1f46abcd191d07bed0a588059","width":400},"correct":{"coords":[[1,-2],[1,0],[-3,0],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/4d/eb3d6b604895.json b/data/questions/f3/4d/eb3d6b604895.json new file mode 100644 index 0000000000..6ef5efd699 --- /dev/null +++ b/data/questions/f3/4d/eb3d6b604895.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=9\\cdot\\left(\\dfrac{2}{3}\\right)^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[1,6],[0,9]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/68/3f0645d5d683.json b/data/questions/f3/68/3f0645d5d683.json new file mode 100644 index 0000000000..67bdc20c52 --- /dev/null +++ b/data/questions/f3/68/3f0645d5d683.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8bf7cbeff4f1e2d0b258e258c9269c4c985b34e0","width":430},"correct":{"coords":[[-6,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/68/597107df715a.json b/data/questions/f3/68/597107df715a.json new file mode 100644 index 0000000000..d45cceb9df --- /dev/null +++ b/data/questions/f3/68/597107df715a.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/683b3fa7100982e93ba1bafcb3c105d2f727f21a","width":430},"correct":{"coords":[[0,1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/6a/e8ef206ab445.json b/data/questions/f3/6a/e8ef206ab445.json new file mode 100644 index 0000000000..33deafb8ba --- /dev/null +++ b/data/questions/f3/6a/e8ef206ab445.json @@ -0,0 +1 @@ +{"content":"You are driving along the open highway on a cross-country road trip, cruising at a steady speed of $60$ miles per hour. \n\n**What is the slope of the line representing this relationship?**\n\nThe slope is [[☃ input-number 1]] .\n\n **Graph the proportional relationship \n$d=60t\\,$ that expresses your distance traveled $d$ (in miles) in terms of time $t$ (in hours) since you started going $60\\, \\text{mph}$. **\n\n\n\n\n\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"60"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e873a2844e0f055a21f9b5170525f15b5d42228e.png","width":425},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-1,8],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,10]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/6c/a2389336e972.json b/data/questions/f3/6c/a2389336e972.json new file mode 100644 index 0000000000..a5f0fba3ad --- /dev/null +++ b/data/questions/f3/6c/a2389336e972.json @@ -0,0 +1 @@ +{"content":"crwdns3474927:0crwdne3474927:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,1]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/70/888d2c549f19.json b/data/questions/f3/70/888d2c549f19.json new file mode 100644 index 0000000000..e8e4a45f3a --- /dev/null +++ b/data/questions/f3/70/888d2c549f19.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects quadrilateral $ABCD$ onto quadrilateral $A'B'C'D'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bf508f2ea0530b3f4821c9e9f4fa74db09bd4e12","width":425},"correct":{"coords":[[2,2],[-5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/8f/a0a7d3fb57bc.json b/data/questions/f3/8f/a0a7d3fb57bc.json new file mode 100644 index 0000000000..12c0c87e34 --- /dev/null +++ b/data/questions/f3/8f/a0a7d3fb57bc.json @@ -0,0 +1 @@ +{"content":"Mr. Ledger buys a box of $24$ donuts for a lesson in his math class about circumference. \n\n**Write an equation for the number of donuts $y$ that are left at the end of the day when $x$ donuts are used during the lesson.**\n\n[[☃ expression 1]]\n\nLast year, Mr. Ledger used $18$ donuts during the lesson. This year, he used $22$ donuts. \n\n**Place points on the graph to show how many donuts are left at the end of last year's lesson and this year's lesson.** \n\n[[☃ interactive-graph 1]]\n","images":{"https://ka-perseus-graphie.s3.amazonaws.com/3fb0fc9e5201c7e238e26ea2d0e207ccec74c984.png":{"height":425,"width":425}},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=24-x"}],"buttonSets":["basic","basic relations"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[18,6],[22,2]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[2,2],"labels":["x","y"],"markings":"graph","range":[[-1,25],[-1,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/92/72b2d84b448b.json b/data/questions/f3/92/72b2d84b448b.json new file mode 100644 index 0000000000..642442b86b --- /dev/null +++ b/data/questions/f3/92/72b2d84b448b.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bf508f2ea0530b3f4821c9e9f4fa74db09bd4e12","width":425},"correct":{"coords":[[2,2],[-5,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/ac/a3e597a80ad4.json b/data/questions/f3/ac/a3e597a80ad4.json new file mode 100644 index 0000000000..dffe5986d5 --- /dev/null +++ b/data/questions/f3/ac/a3e597a80ad4.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9a35c2a13ef3eec1ba77ab7d0f8af7f021e2e223","width":425},"correct":{"coords":[[6,2],[3,6],[3,4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/b9/7c660ccf1cac.json b/data/questions/f3/b9/7c660ccf1cac.json new file mode 100644 index 0000000000..c1dbe87cbb --- /dev/null +++ b/data/questions/f3/b9/7c660ccf1cac.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x+2)(2x-3)(x-3)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,4],[-4,4]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[-2,0],[1.5,0],[3,0]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/bd/ebe48f912ac3.json b/data/questions/f3/bd/ebe48f912ac3.json new file mode 100644 index 0000000000..701730d97a --- /dev/null +++ b/data/questions/f3/bd/ebe48f912ac3.json @@ -0,0 +1 @@ +{"content":"crwdns3897367:0crwdne3897367:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-8],[-1,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/be/a71c7b5c7a62.json b/data/questions/f3/be/a71c7b5c7a62.json new file mode 100644 index 0000000000..1dd383d6a3 --- /dev/null +++ b/data/questions/f3/be/a71c7b5c7a62.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $2$\n\nPattern $y$: Starting number: $4$, Rule: add $1$\n\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":10}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/bf/769f7ed369c2.json b/data/questions/f3/bf/769f7ed369c2.json new file mode 100644 index 0000000000..e0564e48f1 --- /dev/null +++ b/data/questions/f3/bf/769f7ed369c2.json @@ -0,0 +1 @@ +{"content":"The graph below contains the rectangle $ABCP$. \n \n**Draw the image of $ABCP$ under a dilation whose center is $P$ and scale factor is $1\\!\\dfrac{2}{3}$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the side $\\overline{AB}$ and its image?** \n\n$\\overline{AB}$ is [[☃ input-number 1]] units long, and its image is [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"6"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":"10"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/a4d36591004d32c43382ccb74ccdda19aeebcb82.png","width":425},"correct":{"coords":[[-2,-7],[-2,3],[-7,3],[-7,-7]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/c6/f47f8ac2ab5f.json b/data/questions/f3/c6/f47f8ac2ab5f.json new file mode 100644 index 0000000000..a625b92da1 --- /dev/null +++ b/data/questions/f3/c6/f47f8ac2ab5f.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map quadrilateral $STEM$ onto the other quadrilateral below.**\n\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/17b81dddd0ef5f94861d2bdf1e46109ed5bea87f","width":425},"correct":{"coords":[[-3,-6],[-3,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a07dcae6562b32314ebcb312c465bd6f5096f67e","width":425},"correct":{"coords":[[0,-3],[6,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/cb/0cc07e43e950.json b/data/questions/f3/cb/0cc07e43e950.json new file mode 100644 index 0000000000..f49da0b108 --- /dev/null +++ b/data/questions/f3/cb/0cc07e43e950.json @@ -0,0 +1 @@ +{"content":"crwdns3354593:0$z_1+z_2$crwdne3354593:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d4dff26cffc1c0a1b8791045be39caf17b649328","width":430},"correct":{"coords":[[3,6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/cc/fcb585bad6a1.json b/data/questions/f3/cc/fcb585bad6a1.json new file mode 100644 index 0000000000..d1b263de1b --- /dev/null +++ b/data/questions/f3/cc/fcb585bad6a1.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $C$ under a dilation about the origin $(0,0)$ with a scale factor of $\\dfrac{1}{2}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/11e37fd8ec6fcaea9db4e2bb2fd0b6d751fffe51","width":425},"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/cf/e80ed0b8eb85.json b/data/questions/f3/cf/e80ed0b8eb85.json new file mode 100644 index 0000000000..936bd39a88 --- /dev/null +++ b/data/questions/f3/cf/e80ed0b8eb85.json @@ -0,0 +1 @@ +{"content":"Tarush is a landscape architect. For his first public project he is asked to create a small scale drawing of a garden to be placed in the corner of a city park. The garden is a right triangle with base $25\\text{ m}$ and height $30\\text{ m}$.\n\n**Draw the garden such that $1$ unit on the grid below represents $5\\text{ m}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"polygon","showSides":true},"correct":{"type":"polygon","showSides":true,"match":"congruent","coords":[[3,-3],[-2,3],[-2,-3]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/e0/8f3d32437f55.json b/data/questions/f3/e0/8f3d32437f55.json new file mode 100644 index 0000000000..c819014f47 --- /dev/null +++ b/data/questions/f3/e0/8f3d32437f55.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,4)$ and $(2,-8)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2,-8],[2,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12},{"maxError":null,"message":"Remember that distance should always be positive.","simplify":"required","status":"wrong","strict":false,"value":-12}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/e4/dbdf2a45ad06.json b/data/questions/f3/e4/dbdf2a45ad06.json new file mode 100644 index 0000000000..d197b3b76b --- /dev/null +++ b/data/questions/f3/e4/dbdf2a45ad06.json @@ -0,0 +1 @@ +{"content":"$\\triangle{ABC}$ is rotated $90^\\circ$ about the point $(2,2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4c10630ba46f1e8ee7ee60a6e2134b34aa196dcc","width":425},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/e9/40527bc485ae.json b/data/questions/f3/e9/40527bc485ae.json new file mode 100644 index 0000000000..828325d514 --- /dev/null +++ b/data/questions/f3/e9/40527bc485ae.json @@ -0,0 +1 @@ +{"content":"We want to find the zeros of this polynomial:\n\n$p(x)=(x+2)(2x-3)(x-3)$\n\n**Plot all the zeros ($x$-intercepts) of the polynomial in the interactive graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9e825947f778170369f22da5f87239cbf4c1ebe3","width":425},"correct":{"coords":[[-2,0],[1.5,0],[3,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/f8/0cee6611a2c0.json b/data/questions/f3/f8/0cee6611a2c0.json new file mode 100644 index 0000000000..86af653093 --- /dev/null +++ b/data/questions/f3/f8/0cee6611a2c0.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $A$ and scale factor is $4$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6b03f1d1befcee0e0d3c18b5b613dc05957f8db9","width":400},"correct":{"coords":[[-6,-2],[6,-2],[-6,6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/f8/cc2b6a4ebf91.json b/data/questions/f3/f8/cc2b6a4ebf91.json new file mode 100644 index 0000000000..6c1a579c98 --- /dev/null +++ b/data/questions/f3/f8/cc2b6a4ebf91.json @@ -0,0 +1 @@ +{"content":"crwdns3457943:0$xcrwdne3457943:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,5],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/fc/6cb85b01315e.json b/data/questions/f3/fc/6cb85b01315e.json new file mode 100644 index 0000000000..d4d49f14d4 --- /dev/null +++ b/data/questions/f3/fc/6cb85b01315e.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $y$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42d82e5f734e964a977bb1c3a4973a71d2c0205f","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","coords":[[-3,-6],[-2,-3],[-4,-2],[-5,-4]],"numSides":4,"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f3/fc/6e9f1b849f4c.json b/data/questions/f3/fc/6e9f1b849f4c.json new file mode 100644 index 0000000000..3d51e75f31 --- /dev/null +++ b/data/questions/f3/fc/6e9f1b849f4c.json @@ -0,0 +1 @@ +{"content":"The graph of the function $h(x)=2|x|$ is shown on the grid below.\n\n**Graph the function $f(x)=2|x-8|+1$ in the interactive graph. **\n\n[[☃ grapher 1]]\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ec054de491d5cfb3ef71c06d34bf2fb7ca7feb86":{"height":425,"width":425}},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"asymptote":null,"coords":[[8,1],[7,3]],"type":"absolute_value"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6fb60e5bad041fe69d3485d52b87030ddcc17ac8","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/00/f47f675b32d3.json b/data/questions/f4/00/f47f675b32d3.json new file mode 100644 index 0000000000..91d7a8eb68 --- /dev/null +++ b/data/questions/f4/00/f47f675b32d3.json @@ -0,0 +1 @@ +{"content":"A trigonometric function has the following features:\n\n- Its period is $3\\pi$ units\n\n\n- Its amplitude is $8$ units\n\n\n- It intersects its midline at $\\left(2\\pi,1\\right)$ and then decreases\n\n**Graph the function in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[4,1],[5.5,-7]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/0d/239a4049de3c.json b/data/questions/f4/0d/239a4049de3c.json new file mode 100644 index 0000000000..14d4519422 --- /dev/null +++ b/data/questions/f4/0d/239a4049de3c.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $TRAM$ is rotated $-90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c915f517f7529dda4df3df640190f98527ad3f2a","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[7,1],[4,5],[1,5],[7,7]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/18/b732b0f43da9.json b/data/questions/f4/18/b732b0f43da9.json new file mode 100644 index 0000000000..574b1340b2 --- /dev/null +++ b/data/questions/f4/18/b732b0f43da9.json @@ -0,0 +1 @@ +{"content":"crwdns4132427:0$P$crwdnd4132427:0{1}crwdnd4132427:0{2}crwdne4132427:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b1ec3841d8d7aba903cf7c9ba9b0d4fabfc8633","width":400},"correct":{"coords":[[0,0],[-2,2],[-6,1]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/2e/937c0ee662db.json b/data/questions/f4/2e/937c0ee662db.json new file mode 100644 index 0000000000..9ecb0bf99c --- /dev/null +++ b/data/questions/f4/2e/937c0ee662db.json @@ -0,0 +1 @@ +{"content":"You are an aeronautical engineer for the US Navy. You want to create a small scale drawing of an airplane wing from an F/A-$18$ jet flown by the Blue Angels. The wing is a trapezoid with parallel bases $15\\text{ ft}$ and $6\\text{ ft}$ and a side $13\\text{ ft}$ that is perpendicular to both bases.\n\n*A trapezoid has $4$ sides and at least one pair of parallel sides. *\n\n**Create a scale drawing of the wing using any scale of your choice.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"","scale":".16","bottom":"37","left":"32","width":0,"height":0},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"polygon","numSides":4,"showSides":true},"correct":{"type":"polygon","coords":[[0,-7],[9,6],[-6,6],[-6,-7]],"match":"similar","numSides":4,"showSides":true}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/48/df23848b8bc3.json b/data/questions/f4/48/df23848b8bc3.json new file mode 100644 index 0000000000..40dce83f85 --- /dev/null +++ b/data/questions/f4/48/df23848b8bc3.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e98067038068666b3671dbd9dccb8c552c339920","width":430},"correct":{"coords":[[3,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/57/982153123bfb.json b/data/questions/f4/57/982153123bfb.json new file mode 100644 index 0000000000..e7f2b4b4cf --- /dev/null +++ b/data/questions/f4/57/982153123bfb.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/111e2f0c92a23c394190cc5a44b94827cc7bcf22","width":430},"correct":{"coords":[[0,-6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/5a/0a6f476c82ac.json b/data/questions/f4/5a/0a6f476c82ac.json new file mode 100644 index 0000000000..76770a145d --- /dev/null +++ b/data/questions/f4/5a/0a6f476c82ac.json @@ -0,0 +1 @@ +{"content":"**Graph $g(x)=-5|x +2|+2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[-2,2],[-1,-3]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/60/2b271ec2a204.json b/data/questions/f4/60/2b271ec2a204.json new file mode 100644 index 0000000000..d3424ac841 --- /dev/null +++ b/data/questions/f4/60/2b271ec2a204.json @@ -0,0 +1 @@ +{"content":"A professional soccer player can score a goal using his right or left foot. The table below shows how many goals the top scoring players in Europe scored with each foot in the $2014\\,\\text{-}\\,2015$ season (according to www.whoscored.com).\n \n**Plot the data in a scatter plot.** \n \nGoals from...| Ronaldo | Messi | Lacazette | Agüero | Griezmann |\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Right foot** | $29$ | $12$ | $24$ | $18$ | $1$ \n**Left foot** | $6$ | $26$ | $1$ | $7$ | $16$\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[29,6],[12,26],[24,1],[18,7],[1,16]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,2],"labels":["$\\text{Right}$","$\\text{Left}$"],"markings":"graph","range":[[-2,32],[-2,32]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/60/3d2ad44d2175.json b/data/questions/f4/60/3d2ad44d2175.json new file mode 100644 index 0000000000..3589a3291f --- /dev/null +++ b/data/questions/f4/60/3d2ad44d2175.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4x^2+8x+7$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,3],[0,7]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/6d/c239371de2fd.json b/data/questions/f4/6d/c239371de2fd.json new file mode 100644 index 0000000000..82d23ef854 --- /dev/null +++ b/data/questions/f4/6d/c239371de2fd.json @@ -0,0 +1 @@ +{"content":"crwdns3209065:0$R_crwdne3209065:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5abab5dcef96044dfdfd039247e3ad6aa6623cc4.png","width":425},"correct":{"coords":[[-3,7],[-3,2],[-7,3]],"numSides":3,"type":"polygon"},"graph":{"numSides":3,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/f4/72/15dbbeac634c.json b/data/questions/f4/72/15dbbeac634c.json new file mode 100644 index 0000000000..ced2e82b3c --- /dev/null +++ b/data/questions/f4/72/15dbbeac634c.json @@ -0,0 +1 @@ +{"content":"crwdns3457588:0crwdne3457588:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-6,-5],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/72/699500a4b15d.json b/data/questions/f4/72/699500a4b15d.json new file mode 100644 index 0000000000..f2902e1fd2 --- /dev/null +++ b/data/questions/f4/72/699500a4b15d.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $5$ units to the right and $7$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/2a97a1fe92405eb9313b06a6dedeeb00de8f4f38","width":425},"correct":{"coords":[[4,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/7a/39d22b8148a5.json b/data/questions/f4/7a/39d22b8148a5.json new file mode 100644 index 0000000000..cf7c01962c --- /dev/null +++ b/data/questions/f4/7a/39d22b8148a5.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/35af55fd8ca1fd970e15b47edce06cad89333c3f","width":425},"correct":{"coords":[[1,1],[1,-3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/7e/01b839191672.json b/data/questions/f4/7e/01b839191672.json new file mode 100644 index 0000000000..a9de7e5834 --- /dev/null +++ b/data/questions/f4/7e/01b839191672.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (5.5, 5.5), (6.5,0), (0, -4.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[5.5,5.5],[6.5,0],[0,-4.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/f4/8a/db357b971544.json b/data/questions/f4/8a/db357b971544.json new file mode 100644 index 0000000000..35c493bd9c --- /dev/null +++ b/data/questions/f4/8a/db357b971544.json @@ -0,0 +1 @@ +{"content":"Sophie opens a new restaurant. The function $f$ models the restaurant's net worth (in thousands of dollars) as a function of time (in months) after Sophie opens it.\n\n**Plot the point on the graph of $f$ that corresponds to the restaurant's minimum net worth.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/90b18cd390182577b25e3026c492afbfc3ca2f92","width":400},"correct":{"coords":[[2,-12]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,4],"labels":["□","□"],"markings":"none","range":[[-3,9],[-16,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,1],"step":[1,4]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/8f/78cc045805a2.json b/data/questions/f4/8f/78cc045805a2.json new file mode 100644 index 0000000000..8578da0f6a --- /dev/null +++ b/data/questions/f4/8f/78cc045805a2.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$3$|$6$|$9$|$12$\n$y$|$0$|$0.5$|$1.0$|$1.5$|$2.0$\n\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.16666666666666666},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[6,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/c1/3d7925636db1.json b/data/questions/f4/c1/3d7925636db1.json new file mode 100644 index 0000000000..2ade1ecb43 --- /dev/null +++ b/data/questions/f4/c1/3d7925636db1.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line parallel to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d5a8c57c9001d39f900e87d36034059e8879e","width":400},"correct":{"coords":[[4,-8],[8,-4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/c7/7a3d44f454b6.json b/data/questions/f4/c7/7a3d44f454b6.json new file mode 100644 index 0000000000..f1e1906081 --- /dev/null +++ b/data/questions/f4/c7/7a3d44f454b6.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under the translation $(x,y)\\to(x -5,y )$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/aa884052e74fe0acc08fcb090d8355aa19dd7d4f","width":425},"correct":{"coords":[[-3,-4],[0,2],[-2,-1],[-4,-2]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/d5/607210668026.json b/data/questions/f4/d5/607210668026.json new file mode 100644 index 0000000000..49f714dd0a --- /dev/null +++ b/data/questions/f4/d5/607210668026.json @@ -0,0 +1 @@ +{"content":"The figure below shows a prism whose base is a $3\\times 3$ square and whose height is $6$. \n\n![square prism vertical slice](https://ka-perseus-graphie.s3.amazonaws.com/94bf14f4775048a20e633abd42558d8e108ecfab.png)\n\n**Drag the corners of the square below to draw the shape of a vertical slice through the prism.** \n\nAssume the vertical slice is parallel to one of the sides of the prism.\n\n[[☃ interactive-graph 1]] ","images":{"https://ka-perseus-graphie.s3.amazonaws.com/94bf14f4775048a20e633abd42558d8e108ecfab.png":{"height":400,"width":200}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,1],[4,7],[1,7],[1,1]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"grid","range":[[0,9],[0,9]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/de/37e464e0b4e8.json b/data/questions/f4/de/37e464e0b4e8.json new file mode 100644 index 0000000000..9aa4ea0ce2 --- /dev/null +++ b/data/questions/f4/de/37e464e0b4e8.json @@ -0,0 +1 @@ +{"content":"Jennifer drives at a constant speed of $3$ miles per $4$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents distance (in miles). \n\n**Plot points to show how far Jennifer has driven after $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6,4.5],[4,3],[2,1.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/e3/206718a1c3c4.json b/data/questions/f4/e3/206718a1c3c4.json new file mode 100644 index 0000000000..4b067da7ae --- /dev/null +++ b/data/questions/f4/e3/206718a1c3c4.json @@ -0,0 +1 @@ +{"content":"crwdns3161029:0$P$crwdnd3161029:0$a$crwdnd3161029:0$0$crwdnd3161029:0$b$crwdnd3161029:0$P$crwdne3161029:0","images":{},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["Quadrant I","Quadrant II","Quadrant III","Quadrant IV","$x$-axis","$y$-axis"],"items":["$(2,4.5)$","$(0,-3)$","$(7, -\\dfrac12)$"],"randomizeItems":false,"values":[0,5,3]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interaction 1":{"graded":true,"options":{"elements":[{"key":"point-12e77f","options":{"color":"black","coordX":"0","coordY":"0"},"type":"point"}],"graph":{"box":[400,400],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"tickStep":[1,1]}},"type":"interaction","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-6]],"type":"point"},"graph":{"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"crwdns3137556:0crwdne3137556:0","correct":false},{"content":"crwdns3137557:0crwdne3137557:0","correct":false},{"content":"crwdns3137558:0crwdne3137558:0","correct":false},{"content":"crwdns3137559:0crwdne3137559:0","correct":false},{"content":"crwdns3137495:0$x$crwdne3137495:0","correct":false},{"content":"crwdns3137496:0$y$crwdne3137496:0","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/e3/aed1353d87be.json b/data/questions/f4/e3/aed1353d87be.json new file mode 100644 index 0000000000..ca6bd13fa1 --- /dev/null +++ b/data/questions/f4/e3/aed1353d87be.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e9d2a697d9d5559254156921107881d1779fa67d","width":430},"correct":{"coords":[[3,7]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f4/f9/fb0df9ddbd47.json b/data/questions/f4/f9/fb0df9ddbd47.json new file mode 100644 index 0000000000..e00b26dfad --- /dev/null +++ b/data/questions/f4/f9/fb0df9ddbd47.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3x+7$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,7],[1,4]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/03/4ff66a9cfb9b.json b/data/questions/f5/03/4ff66a9cfb9b.json new file mode 100644 index 0000000000..b092d7e15e --- /dev/null +++ b/data/questions/f5/03/4ff66a9cfb9b.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=g(x)$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3657b0ffa470ced789a22bb01d807d30ef6df90b","width":400},"correct":{"coords":[[-3,1],[-1,-1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/07/2a7f25d0f330.json b/data/questions/f5/07/2a7f25d0f330.json new file mode 100644 index 0000000000..a4ab87fe7c --- /dev/null +++ b/data/questions/f5/07/2a7f25d0f330.json @@ -0,0 +1 @@ +{"content":"Chandler is the marketing executive at PMO Advertising Agency. She has a marketing budget of $\\$2500$ to pay for television and newspaper advertising. Television advertising costs $\\$100$ per minute and newspaper ad space costs $\\$25$ per square centimeter of print.\n\n**Write an *inequality* that represents the number of minutes of television advertising $(T)$ and square centimeters of newspaper advertising $(N)$ Chandler can order without exceeding her marketing budget.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $T$ on the horizontal axis and $N$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If Chandler orders $18$ minutes of television advertising $(T)$, which of the following numbers of square centimeters of newspaper advertising $(N)$ can she order without exceeding the marketing budget?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"type":"expression","graded":true,"options":{"answerForms":[{"value":"100T+25N<=2500","form":false,"simplify":false,"considered":"correct","key":0}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[5,20],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["T","N"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,40],[-10,125]],"gridStep":[5,10],"snapStep":[2.5,5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[0,100],[25,0]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"$14$","correct":true},{"content":"$19$","correct":true},{"content":"$25$","correct":true},{"content":"$28$","correct":true},{"content":"$32$","correct":false}],"randomize":false,"multipleSelect":true,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/18/cf65183aa4d4.json b/data/questions/f5/18/cf65183aa4d4.json new file mode 100644 index 0000000000..150842de17 --- /dev/null +++ b/data/questions/f5/18/cf65183aa4d4.json @@ -0,0 +1 @@ +{"content":"**Draw the image of the rotation of quadrilateral $SORT$ by $270^\\circ$ about the origin.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/026d940b1c21dbd428b8378f7252511147d5ef35","width":425},"correct":{"coords":[[-2,-7],[3,2],[-1,2],[-6,-7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/1a/8fee17f69850.json b/data/questions/f5/1a/8fee17f69850.json new file mode 100644 index 0000000000..4b669a2419 --- /dev/null +++ b/data/questions/f5/1a/8fee17f69850.json @@ -0,0 +1 @@ +{"content":"**Mark all the relative *maximum* points in the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/486cb00ae6382056d636efdc5f29395889c78e62","width":425},"correct":{"coords":[[-6,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/1c/da3e76e0bc05.json b/data/questions/f5/1c/da3e76e0bc05.json new file mode 100644 index 0000000000..ced6f1cb01 --- /dev/null +++ b/data/questions/f5/1c/da3e76e0bc05.json @@ -0,0 +1 @@ +{"content":"Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.\n\n ||||\n-:|-:|-:|-:\n|**Batch $1$**|**Batch $2$**|**Batch $3$**\nCups of sugar|$2$|$3$|$4$\nCups of flour|$4\\dfrac{1}{2}$|$6\\dfrac{3}{4}$|$9$\n\n**What is the unit rate of change of flour $(y)$ with respect to sugar $(x)$?** That is, how much flour corresponds to *one* cup of sugar?\n\nThe unit rate of change is [[☃ input-number 1]] .\n\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing cups of sugar, and the $y$-coordinate representing cups of flour.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2.25"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[4,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/1e/6967a6403d05.json b/data/questions/f5/1e/6967a6403d05.json new file mode 100644 index 0000000000..f3fc9e39f1 --- /dev/null +++ b/data/questions/f5/1e/6967a6403d05.json @@ -0,0 +1 @@ +{"content":"**Which of the $x$ values are solutions to the following inequality?**\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/7cd0c171a862e408b6919bf8b33a81b129fc4ceb)\n\n$\\qquad \\left\\lvert x - a \\right\\rvert > a$\n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7cd0c171a862e408b6919bf8b33a81b129fc4ceb":{"height":69,"width":460}},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"<","correct":false},{"content":">","correct":true}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$x = b$","correct":true},{"content":"$x = c$","correct":false},{"content":"None of the above","correct":false}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$A$","$|B-C|$","$|A-B|$","$|A - C|$","$|A|$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/20/4e578de3f2b3.json b/data/questions/f5/20/4e578de3f2b3.json new file mode 100644 index 0000000000..d3b82faffb --- /dev/null +++ b/data/questions/f5/20/4e578de3f2b3.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ee0aa0028cb30e9cb785d6a703e443c9da5d8430","width":430,"height":430},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","coords":[[8,8]],"numPoints":"unlimited"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/30/c55d226e80f4.json b/data/questions/f5/30/c55d226e80f4.json new file mode 100644 index 0000000000..2fbcc652c8 --- /dev/null +++ b/data/questions/f5/30/c55d226e80f4.json @@ -0,0 +1 @@ +{"content":"At Juicy Deals grocery store, $2$ apples cost $\\$3$. You can buy $6$ apples for $\\$9$. \n \n\n \n**Graph the points described by the given information.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the number of apples and their price proportional?** \n\n[[☃ radio 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/89893001db81c6a44139e600d854c6a88587cde7.png":{"width":444,"height":437}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[20,20],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/23c0b59d047b8c2203404641d5fb28567321c4db.png","scale":"1","bottom":"0","left":0,"width":431,"height":431},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,110],[-10,110]],"gridStep":[5,5],"snapStep":[2.5,2.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[60,90],[20,30]]}},"version":{"major":0,"minor":0}},"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/36/5f48e646abab.json b/data/questions/f5/36/5f48e646abab.json new file mode 100644 index 0000000000..1ecdf136c2 --- /dev/null +++ b/data/questions/f5/36/5f48e646abab.json @@ -0,0 +1 @@ +{"content":"crwdns3508053:0crwdne3508053:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,-4],[6,-8],[2,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/40/a584bbea0747.json b/data/questions/f5/40/a584bbea0747.json new file mode 100644 index 0000000000..d1b794d581 --- /dev/null +++ b/data/questions/f5/40/a584bbea0747.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{3}{2}(x-4)^2+3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[4,3],[2,9]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/51/263d5ed39d81.json b/data/questions/f5/51/263d5ed39d81.json new file mode 100644 index 0000000000..cfb496369b --- /dev/null +++ b/data/questions/f5/51/263d5ed39d81.json @@ -0,0 +1 @@ +{"content":"$\\triangle{NOW}$ is rotated $90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b448d794b2abfc5f18e1e8f037f0c246bc166f71","width":425},"correct":{"coords":[[3,-7],[-1,-2],[-4,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/54/2b2eb289f488.json b/data/questions/f5/54/2b2eb289f488.json new file mode 100644 index 0000000000..991d4d25da --- /dev/null +++ b/data/questions/f5/54/2b2eb289f488.json @@ -0,0 +1 @@ +{"content":"Wilbur landed his plane, causing it to descend at a rate of $0.2$ kilometers per minute. He reached the ground after $15$ minutes.\n\n**Graph the relationship between the plane's elevation relative to the ground (in kilometers) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[10,1],[15,0]],"asymptote":null},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-2,20],[-0.5,4]],"labels":["",""],"step":[2,0.5],"gridStep":[1,0.25],"snapStep":[1,0.25],"valid":true,"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a50a3a3c361522c8e3251ac2bc923dad74ccd7eb","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/57/758add5b20ca.json b/data/questions/f5/57/758add5b20ca.json new file mode 100644 index 0000000000..79333d0834 --- /dev/null +++ b/data/questions/f5/57/758add5b20ca.json @@ -0,0 +1 @@ +{"content":"Andre is making cookies for his classmates. He has $60$ minutes before he has to leave for school. It takes $12$ minutes to bake each sheet of cookies. In the graph below, $c$ represents the number of sheets of cookies Andre bakes, and $m$ represents the number of minutes remaining until Andre has to leave for school.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$m = 60-12c$\n\n**Plot points on the graph that show the number of minutes remaining until Andre has to leave for school if he bakes $3$ sheets of cookies and $5$ sheets of cookies.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[3,24],[5,0]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["\\ťțéèẍẋťț{ŚŜĥȟéèéèťțśŝ óòḟ ćĉóòóòķḱíìéèśŝ}","\\ťțéèẍẋťț{ḾṀíìńňúùťțéèśŝ ŕřéèḿṁáàíìńňíìńňĝǧ}"],"markings":"graph","range":[[-1,10],[-1,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/5a/22005d8a8f3a.json b/data/questions/f5/5a/22005d8a8f3a.json new file mode 100644 index 0000000000..108eed9afc --- /dev/null +++ b/data/questions/f5/5a/22005d8a8f3a.json @@ -0,0 +1 @@ +{"content":"crwdns3380942:0$4$crwdne3380942:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-5,1],"radius":4,"type":"circle"},"graph":{"type":"circle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/5b/64ee3ac8c09b.json b/data/questions/f5/5b/64ee3ac8c09b.json new file mode 100644 index 0000000000..f60da901f9 --- /dev/null +++ b/data/questions/f5/5b/64ee3ac8c09b.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points $A$ and $C$ to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/668d416edbfdf5e3c31d3ad849d03611b79a3a47","scale":"1","bottom":"0","left":"0","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-3,7],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.25,0.25],"graph":{"type":"segment","numSegments":2},"correct":{"type":"segment","numSegments":2,"coords":[[[2,6],[6,5]],[[2,0],[6,5]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/5d/6e283b6863a3.json b/data/questions/f5/5d/6e283b6863a3.json new file mode 100644 index 0000000000..996c136ede --- /dev/null +++ b/data/questions/f5/5d/6e283b6863a3.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/84a9a538ef97b32e49d2947ccfdaa667ffe1d065":{"height":325,"width":325}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ebfe60eb69251f2e94646716bfae9426f843287b","width":425},"correct":{"coords":[[2,1],[2,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/63/510d0cc879b6.json b/data/questions/f5/63/510d0cc879b6.json new file mode 100644 index 0000000000..badb993d76 --- /dev/null +++ b/data/questions/f5/63/510d0cc879b6.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $P$ under a translation by $7$ units to the left .**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/49db2125ffedef1806224b9896457f70a529438d","width":425},"correct":{"coords":[[-1,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/64/5fecd9c4c8fb.json b/data/questions/f5/64/5fecd9c4c8fb.json new file mode 100644 index 0000000000..0819852e2f --- /dev/null +++ b/data/questions/f5/64/5fecd9c4c8fb.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\sin\\left(\\dfrac{\\pi}{8}x\\right)+7$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/67/d6283edbe5a5.json b/data/questions/f5/67/d6283edbe5a5.json new file mode 100644 index 0000000000..8b735d5a34 --- /dev/null +++ b/data/questions/f5/67/d6283edbe5a5.json @@ -0,0 +1 @@ +{"content":"Move the line segments to make a square with corners at $(-2, 2)$, $(2, 2)$, $(2, -2)$, and $(-2, -2)$.\n\n[[☃ interactive-graph 1]]\n\nThen enter the number $3$ in this box: [[☃ numeric-input 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":true,"range":[[-5,5],[-5,5]],"gridStep":[1,1],"snapStep":[0.5,0.5],"lockedFigures":[{"type":"line","kind":"segment","points":[{"type":"point","coord":[-2,2],"color":"grayH","filled":true},{"type":"point","coord":[2,2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"line","kind":"segment","points":[{"type":"point","coord":[-2,2],"color":"grayH","filled":true},{"type":"point","coord":[-2,-2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"line","kind":"segment","points":[{"type":"point","coord":[-2,-2],"color":"grayH","filled":true},{"type":"point","coord":[2,-2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"dashed","showPoint1":false,"showPoint2":false},{"type":"line","kind":"segment","points":[{"type":"point","coord":[2,-2],"color":"grayH","filled":true},{"type":"point","coord":[2,2],"color":"grayH","filled":true}],"color":"grayH","lineStyle":"dashed","showPoint1":false,"showPoint2":false}],"graph":{"type":"segment","numSegments":4},"correct":{"type":"segment","numSegments":4,"coords":[[[-2,2],[2,2]],[[2,2],[2,-2]],[[-2,2],[-2,-2]],[[-2,-2],[2,-2]]],"hasBeenInteractedWith":true,"range":[[-5,5],[-5,5]],"snapStep":[0.5,0.5],"markings":"graph"}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":3,"status":"correct","message":"The answer is 3 because I said so.","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"The number 3 goes here","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/78/933d57ec4d59.json b/data/questions/f5/78/933d57ec4d59.json new file mode 100644 index 0000000000..8294e6fc91 --- /dev/null +++ b/data/questions/f5/78/933d57ec4d59.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a rhombus with an obtuse angle at $(-4,-3)$, another vertex at $(4,-9)$, side length of $10$ units, and two sides parallel to the $y$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,-9],[-4,-3],[-4,7],[4,1]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/7a/efc7edd079be.json b/data/questions/f5/7a/efc7edd079be.json new file mode 100644 index 0000000000..37af9562e6 --- /dev/null +++ b/data/questions/f5/7a/efc7edd079be.json @@ -0,0 +1 @@ +{"content":"**Mark the vertex of the parabola.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b4dbf87804b421970b300dc2a650b5575e2d14a6","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[2,-4]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/86/e43faeff535a.json b/data/questions/f5/86/e43faeff535a.json new file mode 100644 index 0000000000..ae71ae03fe --- /dev/null +++ b/data/questions/f5/86/e43faeff535a.json @@ -0,0 +1 @@ +{"content":"[Q2] Graph the system of equations:\n\n$\\begin{align}\ny &= \\dfrac{x}{2} \\\\\ny &= 3 - x\n\\end{align}$\n\n[[☃ interactive-graph 1]]\n\nThe lines intersect at the point ([[☃ numeric-input 1]] , [[☃ numeric-input 2]])","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear-system"},"correct":{"type":"linear-system","hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"coords":[[[0,3],[3,0]],[[0,0],[2,1]]]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":2,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"x coordinate of the intersection","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":1,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"y coordinate of the intersection","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/97/c4a87239aed7.json b/data/questions/f5/97/c4a87239aed7.json new file mode 100644 index 0000000000..3c98a9d648 --- /dev/null +++ b/data/questions/f5/97/c4a87239aed7.json @@ -0,0 +1 @@ +{"content":"Laurent rides his bike while he delivers meals every day.\n\nHe recorded the total weight of the meals (grams) he delivered and how far (in kilometers) he rode his bike for five delivery trips.\n \n|||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --:\n**Weight (g)** | $600$ | $450$ | $350$ | $500$ | $250$\n**Distance (km)** | $9$ | $7$ | $5$ | $6$ | $4$ \n \n**Plot the data in a scatterplot.** \n \n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"labels":["$\\text{Weight}$","$\\text{Distance}$"],"range":[[-25,750],[-1,10]],"step":[100,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"point","numPoints":"unlimited"},"valid":true,"correct":{"type":"point","numPoints":"unlimited","coords":[[600,9],[450,7],[350,5],[500,6],[250,4]]},"gridStep":[50,0.5],"snapStep":[50,0.25],"box":[288,288]},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/a1/1ddf2397d0df.json b/data/questions/f5/a1/1ddf2397d0df.json new file mode 100644 index 0000000000..67514c35b1 --- /dev/null +++ b/data/questions/f5/a1/1ddf2397d0df.json @@ -0,0 +1 @@ +{"content":"**Arrange the vertices of the movable quadrilateral to construct the image of quadrilateral $ROSE$ after the rotation $R_{180^\\circ}$ about the origin.** \nPositive rotations are counterclockwise.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/6e6557e0ce93a46f0e0bc10f8b2d16e609195fdd.png","width":425},"correct":{"coords":[[6,-5],[7,-2],[3,-2],[4,-5]],"numSides":4,"type":"polygon"},"graph":{"numSides":4,"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/f5/aa/621d80f083fe.json b/data/questions/f5/aa/621d80f083fe.json new file mode 100644 index 0000000000..99a4915cf5 --- /dev/null +++ b/data/questions/f5/aa/621d80f083fe.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac34\\cdot2^x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-3,0],[3,0]],"coords":[[0,0.75],[1,1.5]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[0.25,0.25],"labels":["□","□"],"markings":"graph","range":[[-3,3],[-3,3]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[0.5,0.5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/ab/649ae2fe13dd.json b/data/questions/f5/ab/649ae2fe13dd.json new file mode 100644 index 0000000000..69ec205400 --- /dev/null +++ b/data/questions/f5/ab/649ae2fe13dd.json @@ -0,0 +1 @@ +{"content":"In Hayley's favorite video game, she completes $3$ challenges every $2$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents challenges completed.\n\n**Plot points to show how many challenges Hayley has completed after playing for $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[4,6],[6,9],[2,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/ab/d21396357837.json b/data/questions/f5/ab/d21396357837.json new file mode 100644 index 0000000000..018db8bd59 --- /dev/null +++ b/data/questions/f5/ab/d21396357837.json @@ -0,0 +1 @@ +{"content":"crwdns3144295:0{ZAP}crwdne3144295:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c876aca09540ff22c757dbe932ea616a92be09de","width":400},"correct":{"coords":[[[-7,7],[2,5]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5012f1a530dfb24e356b4a927cf9bcb459622144","width":425},"correct":{"coords":[[-8,-1],[-2,-1],[-2,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/bb/c219f00db576.json b/data/questions/f5/bb/c219f00db576.json new file mode 100644 index 0000000000..69108d6358 --- /dev/null +++ b/data/questions/f5/bb/c219f00db576.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4(x-2)^2-6$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,-6],[1,-2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/be/bb9b08a0eeb1.json b/data/questions/f5/be/bb9b08a0eeb1.json new file mode 100644 index 0000000000..d84666f7c0 --- /dev/null +++ b/data/questions/f5/be/bb9b08a0eeb1.json @@ -0,0 +1 @@ +{"content":"Atilio drew $2$ of the same rectangle with an area of $12$ square units. He turned one sideways.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $6$ units long.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/15defa3644dce5f16c6f138a573aa52fc6a09e61","width":400},"correct":{"coords":[[1,-2],[1,1],[-3,1],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/c3/cae8f0f6d6a4.json b/data/questions/f5/c3/cae8f0f6d6a4.json new file mode 100644 index 0000000000..0e989bae54 --- /dev/null +++ b/data/questions/f5/c3/cae8f0f6d6a4.json @@ -0,0 +1 @@ +{"content":"The upper-right corner of a rectangle is located at the point $(10,9)$. The rectangle is $6$ units wide and $5$ units high. \n\n**Plot the other three corners of the rectangle on the coordinate plane below.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"","height":400,"left":"","scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/dc8e1065a081935e55a31674bb9b26aea71671ca","width":400},"correct":{"coords":[[4,9],[10,4],[4,4]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-2,12],[-2,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/ca/105daeb8a11b.json b/data/questions/f5/ca/105daeb8a11b.json new file mode 100644 index 0000000000..490c1b6e81 --- /dev/null +++ b/data/questions/f5/ca/105daeb8a11b.json @@ -0,0 +1 @@ +{"content":"**Construct a $35^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/0c5cb6794a494c00353580d505daea2b306880e9.png":{"height":198,"width":374},"https://ka-perseus-images.s3.amazonaws.com/b20a059f8f157f0e48bfe7ecaee5d40a38822976.png":{"height":161,"width":215}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[2.8061354926511557,6.017776983877903]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/d4/c6b733530e85.json b/data/questions/f5/d4/c6b733530e85.json new file mode 100644 index 0000000000..d95e55033a --- /dev/null +++ b/data/questions/f5/d4/c6b733530e85.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $0$. Then add $7$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$3$ | [[☃ numeric-input 1]]\n$5$ | [[☃ numeric-input 2]]\n$7$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7],[5,7],[7,7]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/d7/7d0af68c3783.json b/data/questions/f5/d7/7d0af68c3783.json new file mode 100644 index 0000000000..17948b7ee6 --- /dev/null +++ b/data/questions/f5/d7/7d0af68c3783.json @@ -0,0 +1 @@ +{"content":"crwdns2972203:0crwdne2972203:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/0f55039bab46b48fbba040bcf59b4ebff9414926.png","width":400},"correct":{"coords":[[4,4.5],[4,-9.5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-5,10],[-10,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/eb/b75e4a7ee5b0.json b/data/questions/f5/eb/b75e4a7ee5b0.json new file mode 100644 index 0000000000..9ab3e8d07c --- /dev/null +++ b/data/questions/f5/eb/b75e4a7ee5b0.json @@ -0,0 +1 @@ +{"content":"crwdns4070489:0$ycrwdnd4070489:0{3}crwdnd4070489:0{8}crwdne4070489:0","images":{},"widgets":{"grapher 3":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,6],[-5,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/ed/71583a806ffa.json b/data/questions/f5/ed/71583a806ffa.json new file mode 100644 index 0000000000..b04154668c --- /dev/null +++ b/data/questions/f5/ed/71583a806ffa.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with additional angles of $30^\\circ$ and $60^\\circ$.**\n\n[[☃ interactive-graph 1]] \n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[1.64503877711451,3.124261355530921],[11.585703847856298,11.465469750047227],[0.518355860844391,9.513997695047507]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"none","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/f2/49629fda20bc.json b/data/questions/f5/f2/49629fda20bc.json new file mode 100644 index 0000000000..f35b63a9dc --- /dev/null +++ b/data/questions/f5/f2/49629fda20bc.json @@ -0,0 +1 @@ +{"content":"**Graph $-2x+y=8$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,8],[-4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f5/f4/2825fda580cb.json b/data/questions/f5/f4/2825fda580cb.json new file mode 100644 index 0000000000..9d0f75c679 --- /dev/null +++ b/data/questions/f5/f4/2825fda580cb.json @@ -0,0 +1 @@ +{"content":"crwdns4020668:0{align}crwdnd4020668:0{align}crwdnd4020668:0$xcrwdnd4020668:0$ycrwdne4020668:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[[0,6],[2,0]],[[0,2],[-2,0]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1}],"coefficient":false,"labelText":"crwdns3890803:0crwdne3890803:0","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"crwdns3890803:0crwdne3890803:0","size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/00/913031c532fd.json b/data/questions/f6/00/913031c532fd.json new file mode 100644 index 0000000000..a81efd0e72 --- /dev/null +++ b/data/questions/f6/00/913031c532fd.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $TRAM$ is rotated $-90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c915f517f7529dda4df3df640190f98527ad3f2a","width":425},"correct":{"coords":[[7,1],[4,5],[1,5],[7,7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/02/0d6b80793228.json b/data/questions/f6/02/0d6b80793228.json new file mode 100644 index 0000000000..cec80c67ae --- /dev/null +++ b/data/questions/f6/02/0d6b80793228.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create a right angle.** \n*The arc symbol near the vertex will show the right angle symbol when the angle is correct.* \n\n\n[[☃ interactive-graph 1]]\n\nThis is a right angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":true},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/4e96f5e6002a36a6c76e0712bd9f3d5e69ed0aef.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[4.471657665635323,-4.471657665635327],[-2,2],[3.2941176470588243,7.294117647058823]],"snapDegrees":2.5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":2.5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/1a/3ea646d08ada.json b/data/questions/f6/1a/3ea646d08ada.json new file mode 100644 index 0000000000..f8caf1aefc --- /dev/null +++ b/data/questions/f6/1a/3ea646d08ada.json @@ -0,0 +1 @@ +{"content":"$\\begin{align}\n& -9x+3y=27\n\\\\\\\\\n& 8x+8y=40\n\\end{align}$\n\n**Graph the system of equations.**\n\n[[☃ interactive-graph 1]]\n\n**What is the solution?**\n\n$x= $ [[☃ numeric-input 1]]\n\n$y= $ [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,9],[-3,0]],[[0,5],[5,0]]],"type":"linear-system"},"graph":{"type":"linear-system"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-1}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"input answer","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/1b/1666e50b15a2.json b/data/questions/f6/1b/1666e50b15a2.json new file mode 100644 index 0000000000..0f085d15ff --- /dev/null +++ b/data/questions/f6/1b/1666e50b15a2.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -12x +6y +36=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[6,-3],"radius":3,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/1e/58a29a93b95a.json b/data/questions/f6/1e/58a29a93b95a.json new file mode 100644 index 0000000000..eeef054dec --- /dev/null +++ b/data/questions/f6/1e/58a29a93b95a.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3d310d241a79e109eb038ad5357263b78aa5f21f","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[1,-1],[-3,-5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/23/ed2f097d1224.json b/data/questions/f6/23/ed2f097d1224.json new file mode 100644 index 0000000000..95bf1e77f0 --- /dev/null +++ b/data/questions/f6/23/ed2f097d1224.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/80d8b76d5355bb6f33c67876f10aa3a3f68f4e82","width":430},"correct":{"coords":[[-1,-6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/34/99dfb52ad371.json b/data/questions/f6/34/99dfb52ad371.json new file mode 100644 index 0000000000..ff69f859fc --- /dev/null +++ b/data/questions/f6/34/99dfb52ad371.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $10$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[1,-2],[1,3],[-1,3],[-1,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/3b/d4c46fb92261.json b/data/questions/f6/3b/d4c46fb92261.json new file mode 100644 index 0000000000..2aa1b0d4fb --- /dev/null +++ b/data/questions/f6/3b/d4c46fb92261.json @@ -0,0 +1 @@ +{"content":"$\\triangle{SAM}$ is rotated $270^\\circ$ about the point $(4,-2)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d2dfdc797c875eaa0d6da3568a6496fcacfe5295","width":425},"correct":{"coords":[[1,5],[8,5],[9,7]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/53/ba59a125ac5e.json b/data/questions/f6/53/ba59a125ac5e.json new file mode 100644 index 0000000000..ebecd59120 --- /dev/null +++ b/data/questions/f6/53/ba59a125ac5e.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 -4x -10y +20=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[2,5],"radius":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/55/6241dc917c47.json b/data/questions/f6/55/6241dc917c47.json new file mode 100644 index 0000000000..62eaf7f17e --- /dev/null +++ b/data/questions/f6/55/6241dc917c47.json @@ -0,0 +1 @@ +{"content":"Leah took her friends for a ride in her hot air balloon. The function $f$ models the height of the hot air balloon above the ground (in meters) as a function of time (in minutes) after takeoff.\n\n**Plot the point on the graph of $f$ that corresponds to when the hot air balloon landed.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1d1a2f83f78c1c774d6b0aca26dd8aaa1b6540e7","width":400},"correct":{"coords":[[60,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[5,50],"labels":["□","□"],"markings":"none","range":[[-10,80],[-50,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,25],"step":[10,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/5d/01bf019a8c62.json b/data/questions/f6/5d/01bf019a8c62.json new file mode 100644 index 0000000000..22a2fec750 --- /dev/null +++ b/data/questions/f6/5d/01bf019a8c62.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $9$, Rule: add $3$\n\nPattern $y$: Starting number: $3$, Rule: add $1$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$9$ | $3$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[9,3],[12,4],[15,5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":4}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":5}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/64/0ee2f2e6d5ef.json b/data/questions/f6/64/0ee2f2e6d5ef.json new file mode 100644 index 0000000000..09248958da --- /dev/null +++ b/data/questions/f6/64/0ee2f2e6d5ef.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+3)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-3,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/67/7b36b5ea866b.json b/data/questions/f6/67/7b36b5ea866b.json new file mode 100644 index 0000000000..c0045871ee --- /dev/null +++ b/data/questions/f6/67/7b36b5ea866b.json @@ -0,0 +1 @@ +{"content":"For every $15$ campers at a summer camp there is $1$ counselor.\n\n**Complete the table for the given ratio.** \n \nCampers, $x$ | Counselors, $y$ \n:-: | :-: \n$15$ | $1$\n$30$| [[☃ numeric-input 3]]\n$45$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[15,1],[30,2],[45,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,50],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,0.25],"step":[5,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/75/7267b9c92cb0.json b/data/questions/f6/75/7267b9c92cb0.json new file mode 100644 index 0000000000..e225dbb530 --- /dev/null +++ b/data/questions/f6/75/7267b9c92cb0.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-3\\cos\\left(\\dfrac{\\pi}{6}x\\right)-6$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"sinusoid","coords":[[3,-6],[0,-9]]},"availableTypes":["sinusoid"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null,"width":0,"height":0},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/7d/1191d5c77bf6.json b/data/questions/f6/7d/1191d5c77bf6.json new file mode 100644 index 0000000000..ad3e0faf3a --- /dev/null +++ b/data/questions/f6/7d/1191d5c77bf6.json @@ -0,0 +1 @@ +{"content":"**Check the graph and graph the point's coordinates in the boxes below.**\n\n[[☃ interactive-graph 1]]\n\nx = [[☃ numeric-input 1]], y = [[☃ numeric-input 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"point","coord":[-2,3],"color":"grayH","filled":true,"labels":[]}],"graph":{"type":"none"},"correct":{"type":"none","hasBeenInteractedWith":false,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":-2,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"Textbox for x coordinate","rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":3,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"Textbox for y coordinate","rightAlign":false},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/89/55a2b7c7dd23.json b/data/questions/f6/89/55a2b7c7dd23.json new file mode 100644 index 0000000000..513b119b31 --- /dev/null +++ b/data/questions/f6/89/55a2b7c7dd23.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-1(x-3)^2+4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,4],[2,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/8e/49a6f05cebd9.json b/data/questions/f6/8e/49a6f05cebd9.json new file mode 100644 index 0000000000..73acbf8493 --- /dev/null +++ b/data/questions/f6/8e/49a6f05cebd9.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=5\\cdot \\left(\\dfrac12\\right)^{-x-1}-2$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,-2],[10,-2]],"coords":[[0,8],[-1,3]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/92/58667b6b3b23.json b/data/questions/f6/92/58667b6b3b23.json new file mode 100644 index 0000000000..d4832d6dfe --- /dev/null +++ b/data/questions/f6/92/58667b6b3b23.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $GROW$ is rotated $270^\\circ$ about the point $(-2,-1)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 4]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/02e86c434836154389ccb774c05ba7a04b135fd8","width":425},"correct":{"coords":[[-9,-5],[-3,-7],[0,-6],[-4,-9]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/9b/4d51bbff4a78.json b/data/questions/f6/9b/4d51bbff4a78.json new file mode 100644 index 0000000000..5833d8c91d --- /dev/null +++ b/data/questions/f6/9b/4d51bbff4a78.json @@ -0,0 +1 @@ +{"content":"crwdns3745349:0crwdne3745349:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":false},{"content":"crwdns2731610:0crwdne2731610:0","correct":true},{"content":"crwdns2731612:0crwdne2731612:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/5bd3c3646502715b3fba73cfaf154102f5293177.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-3.882352941176472,0.117647058823529],[0,4],[6.529676730182901,3.9999999999999982]],"snapDegrees":2.5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":2.5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/b2/51fceeae406e.json b/data/questions/f6/b2/51fceeae406e.json new file mode 100644 index 0000000000..763395a997 --- /dev/null +++ b/data/questions/f6/b2/51fceeae406e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=x^2+2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-1,-1],[0,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/b4/c5a6e364ed02.json b/data/questions/f6/b4/c5a6e364ed02.json new file mode 100644 index 0000000000..c9d47dcb60 --- /dev/null +++ b/data/questions/f6/b4/c5a6e364ed02.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=0$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6ae5fc7f4a1b02add71f7b0ee534e4127dcb61c4","width":400},"correct":{"coords":[[5,0],[-1,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/cb/567c629fc1c4.json b/data/questions/f6/cb/567c629fc1c4.json new file mode 100644 index 0000000000..cf4eb00f1f --- /dev/null +++ b/data/questions/f6/cb/567c629fc1c4.json @@ -0,0 +1 @@ +{"content":"**Plot the image of quadrilateral $ABCD$ under a reflection across the $x$-axis.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5830ac6bfcc380f5d90edd20c90416ed4010dfaf","width":425},"correct":{"coords":[[0,-1],[4,-1],[1,5],[2,1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/de/4a1c4fc22c3c.json b/data/questions/f6/de/4a1c4fc22c3c.json new file mode 100644 index 0000000000..5c41a85252 --- /dev/null +++ b/data/questions/f6/de/4a1c4fc22c3c.json @@ -0,0 +1 @@ +{"content":"**Graph a parabola whose vertex is at $(3,5)$ with $y$-intercept at $y=1$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,5],[0,1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/e1/c4fbe6111c4e.json b/data/questions/f6/e1/c4fbe6111c4e.json new file mode 100644 index 0000000000..a117b33b6b --- /dev/null +++ b/data/questions/f6/e1/c4fbe6111c4e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac{1}{3}(x-6)^2+1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[6,1],[3,4]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/ea/a430a52ce9a7.json b/data/questions/f6/ea/a430a52ce9a7.json new file mode 100644 index 0000000000..683bfb722c --- /dev/null +++ b/data/questions/f6/ea/a430a52ce9a7.json @@ -0,0 +1 @@ +{"content":"These are the component forms of vectors $\\vec a$ and $\\vec b$:\n\n$\\begin{align}\n\\vec a&=(3,3)\n\\\\\\\\\n\\vec b&=(-5,-1)\n\\end{align}$\n\n*Answer two questions about the addition $\\vec a+\\vec b$.*\n\nPerforming the addition using the parallelogram rule, with $\\vec a$ and $\\vec b$ starting at the origin, creates a parallelogram on the coordinate plane.\n\n**1. Draw the resultant parallelogram.**\n\n[[☃ interactive-graph 1]]\n\n**2. Find the sum.**\n\n$\\vec a+\\vec b=\\large($[[☃ numeric-input 1]]$,$[[☃ numeric-input 2]]$\\large)$","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[0,0],[3,3],[-2,2],[-5,-1]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":-2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f6/f8/485ab168f383.json b/data/questions/f6/f8/485ab168f383.json new file mode 100644 index 0000000000..fb9a9aa66d --- /dev/null +++ b/data/questions/f6/f8/485ab168f383.json @@ -0,0 +1 @@ +{"content":"crwdns3077842:0$y$crwdnd3077842:0$x$crwdnd3077842:0$y$crwdnd3077842:0$x$crwdnd3077842:0{10}crwdnd3077842:0{7}crwdnd3077842:0$1$crwdnd3077842:0$x$crwdnd3077842:0{10}crwdnd3077842:0{7}crwdnd3077842:0$y$crwdne3077842:0","images":{},"widgets":{"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"y=10/7x"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[7,10]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/06/b9c4197e2b14.json b/data/questions/f7/06/b9c4197e2b14.json new file mode 100644 index 0000000000..29445138b7 --- /dev/null +++ b/data/questions/f7/06/b9c4197e2b14.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$h(x)=-\\dfrac{1}{5}x^2+2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,5],[0,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/18/b736b277a002.json b/data/questions/f7/18/b736b277a002.json new file mode 100644 index 0000000000..ef5c649036 --- /dev/null +++ b/data/questions/f7/18/b736b277a002.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4(x +6)(x +4)$\n\n[[☃ grapher 3]]","images":{},"widgets":{"grapher 3":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-5,-4],[-6,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/1e/bca4a387fff1.json b/data/questions/f7/1e/bca4a387fff1.json new file mode 100644 index 0000000000..add0abfbbb --- /dev/null +++ b/data/questions/f7/1e/bca4a387fff1.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e652b3064de8c8ebb74ab335f31fa4f1d7db550f","width":425},"correct":{"coords":[[5,2],[-3,2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/35/91f4fe826123.json b/data/questions/f7/35/91f4fe826123.json new file mode 100644 index 0000000000..11848e543c --- /dev/null +++ b/data/questions/f7/35/91f4fe826123.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{5}{9}(x +9)(x +3)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[-6,-5],[-9,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/36/d71f66768fd0.json b/data/questions/f7/36/d71f66768fd0.json new file mode 100644 index 0000000000..f60cd54c0e --- /dev/null +++ b/data/questions/f7/36/d71f66768fd0.json @@ -0,0 +1 @@ +{"content":"आपको निम्नलिखित शुरूआती संख्याएँ दी गई हैं, और संख्याओं के दो अनुक्रमों के नियम दिए गए हैं|\n\nअनुक्रम $x$: शुरुआती संख्या: $8$, नियम: $2$ जोड़ें \n\n अनुक्रम $y$: शुरूआती संख्या: $4$, नियम: $1$ जोड़ें\n\n**$x$ और $y$ के शुरूआती $3$ पदों से सारणी भरें| और फिर बिंदुओं को सही स्थान तक खींचकर क्रमित युग्मों $(x,y)$ को आलेखित करें|**\n \n\n[[☃ table 1]]\n\n[[☃ interactive-graph 1]]\n\nअनुक्रम $y$ के पद अनुक्रम $x$ के पद के [[☃ input-number 1]] गुना हैं|","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.5},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[8,4],[10,5],[12,6]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"table 1":{"alignment":"default","graded":true,"options":{"answers":[["8","4"],["10","5"],["12","6"]],"columns":2,"headers":["$x$","$y$"],"rows":3},"static":false,"type":"table","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/41/cd6d26fcd75f.json b/data/questions/f7/41/cd6d26fcd75f.json new file mode 100644 index 0000000000..eadcfae6a8 --- /dev/null +++ b/data/questions/f7/41/cd6d26fcd75f.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=\\dfrac{1}{3}x^2-2x+8$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,5],[0,8]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/43/ffb22f48e158.json b/data/questions/f7/43/ffb22f48e158.json new file mode 100644 index 0000000000..3b7476b325 --- /dev/null +++ b/data/questions/f7/43/ffb22f48e158.json @@ -0,0 +1 @@ +{"content":"###Custom Example: Test all options on with grid snapping###\n\nPut the corners at (4, -7) (6, 3) (-6, 5) (-7, -7)\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[4,-7],[6,3],[-6,5],[-7,-7]],"hasBeenInteractedWith":true,"numSides":4,"range":[[-10,10],[-10,10]],"showAngles":true,"showSides":true,"snapStep":[0.5,0.5],"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":true,"showSides":true,"snapTo":"grid","type":"polygon"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/4c/000781cc0fac.json b/data/questions/f7/4c/000781cc0fac.json new file mode 100644 index 0000000000..ebd806c681 --- /dev/null +++ b/data/questions/f7/4c/000781cc0fac.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=|x -5|$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["absolute_value"],"correct":{"coords":[[5,0],[6,1]],"type":"absolute_value"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/57/540b6bb2ef63.json b/data/questions/f7/57/540b6bb2ef63.json new file mode 100644 index 0000000000..891ddaf97c --- /dev/null +++ b/data/questions/f7/57/540b6bb2ef63.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad f(x)=-2(x-5.5)^2+4.5$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[5.5,4.5],[7,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":5.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":4.5},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":7},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":4}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/5a/98ea27162303.json b/data/questions/f7/5a/98ea27162303.json new file mode 100644 index 0000000000..2c2ef5b91b --- /dev/null +++ b/data/questions/f7/5a/98ea27162303.json @@ -0,0 +1 @@ +{"content":"**Plot the average $m$ of $z_1$ and $z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/683b3fa7100982e93ba1bafcb3c105d2f727f21a","width":430},"correct":{"coords":[[0,1]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/5e/1d4bc2eb1690.json b/data/questions/f7/5e/1d4bc2eb1690.json new file mode 100644 index 0000000000..508b1b245b --- /dev/null +++ b/data/questions/f7/5e/1d4bc2eb1690.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit to the right and $6$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e3572231fd47fa72e19c40b9ddc48a33ab6d9e63","width":425},"correct":{"coords":[[2,2],[2,4],[-4,7],[-6,4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/83/82fa93274b9e.json b/data/questions/f7/83/82fa93274b9e.json new file mode 100644 index 0000000000..d89d044c8b --- /dev/null +++ b/data/questions/f7/83/82fa93274b9e.json @@ -0,0 +1 @@ +{"content":"crwdns3381300:0crwdne3381300:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e78d24697a3afa1fc3323d7cc0402f1e7fce91a1","width":425},"correct":{"coords":[[9,-6],[-9,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[3,3],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/8b/079c1214b2fa.json b/data/questions/f7/8b/079c1214b2fa.json new file mode 100644 index 0000000000..19cbf3b3a3 --- /dev/null +++ b/data/questions/f7/8b/079c1214b2fa.json @@ -0,0 +1 @@ +{"content":"[[☃ passage 1]]\n\n=====\n\n[[☃ group 1]]\n\n[[☃ group 2]]\n\n[[☃ group 3]]\n\n[[☃ group 4]]\n\n[[☃ group 5]]\n\n[[☃ group 6]]\n\n[[☃ group 7]]\n\n[[☃ group 8]]\n\n[[☃ group 9]]\n\n[[☃ group 10]]\n\n[[☃ group 11]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"group 1":{"graded":true,"options":{"content":"To make the paragraph most logical, sentence 2 should be placed\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIGorQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoIG8vAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"ŤŢĥȟíìśŝ ćĉĥȟóòíìćĉéè ŕřéèśŝúùĺľťțśŝ íìńň áàńň íìĺľĺľóòĝǧíìćĉáàĺľ śŝéèʠúùéèńňćĉéè óòḟ íìďđéèáàśŝ. ÎÏńň ťțĥȟíìśŝ ćĉóòńňťțéèẍẋťț, íìťț'śŝ ḿṁóòŕřéè éèḟḟéèćĉťțíìṽṿéè ťțóò ṕṗĺľáàćĉéè ťțĥȟéè ćĉĺľáàíìḿṁ áàƀḃóòúùťț ťțĥȟéè ṕṗóòṕṗúùĺľáàŕříìťțý óòḟ ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ ƀḃéèḟóòŕřéè ťțĥȟéè śŝṕṗéèćĉíìḟíìćĉ éèṽṿíìďđéèńňćĉéè śŝúùṕṗṕṗóòŕřťțíìńňĝǧ ťțĥȟáàťț ṕṗóòíìńňťț.\n","content":"ẃẁĥȟéèŕřéè íìťț íìśŝ ńňóòẃẁ.","correct":false},{"clue":"ŤŢĥȟíìśŝ ćĉĥȟóòíìćĉéè íìśŝ ťțĥȟéè ƀḃéèśŝťț áàńňśŝẃẁéèŕř ƀḃéèćĉáàúùśŝéè íìťț ŕřéèśŝúùĺľťțśŝ íìńň ťțĥȟéè ḿṁóòśŝťț ĺľóòĝǧíìćĉáàĺľ śŝéèʠúùéèńňćĉéè óòḟ íìďđéèáàśŝ. ÎÏńň ťțĥȟíìśŝ ćĉóòńňťțéèẍẋťț, íìťț'śŝ ḿṁóòŕřéè éèḟḟéèćĉťțíìṽṿéè ťțóò ṕṗĺľáàćĉéè ťțĥȟéè ćĉĺľáàíìḿṁ áàƀḃóòúùťț ťțĥȟéè ṕṗóòṕṗúùĺľáàŕříìťțý óòḟ ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ ƀḃéèḟóòŕřéè ťțĥȟéè śŝṕṗéèćĉíìḟíìćĉ éèṽṿíìďđéèńňćĉéè śŝúùṕṗṕṗóòŕřťțíìńňĝǧ ťțĥȟáàťț ṕṗóòíìńňťț.\n","content":"áàťț ťțĥȟéè ƀḃéèĝǧíìńňńňíìńňĝǧ óòḟ ťțĥȟéè ṕṗáàŕřáàĝǧŕřáàṕṗĥȟ.","correct":true},{"clue":"ŤŢĥȟíìśŝ ćĉĥȟóòíìćĉéè ŕřéèśŝúùĺľťțśŝ íìńň áàńň íìĺľĺľóòĝǧíìćĉáàĺľ śŝéèʠúùéèńňćĉéè óòḟ íìďđéèáàśŝ. ÎÏťț ďđóòéèśŝ ńňóòťț ḿṁáàķḱéè śŝéèńňśŝéè ťțóò śŝťțáàťțéè ťțĥȟéè ṕṗóòṕṗúùĺľáàŕříìťțý óòḟ ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ ƀḃéèťțẃẁéèéèńň ťțĥȟéè ʠúùéèśŝťțíìóòńň áàńňďđ áàńňśŝẃẁéèŕř śŝťțŕřúùćĉťțúùŕřéè óòḟ śŝéèńňťțéèńňćĉéèśŝ 3 áàńňďđ 4.\n","content":"áàḟťțéèŕř śŝéèńňťțéèńňćĉéè 3.","correct":false},{"clue":"ŤŢĥȟíìśŝ ćĉĥȟóòíìćĉéè ŕřéèśŝúùĺľťțśŝ íìńň áàńň íìĺľĺľóòĝǧíìćĉáàĺľ śŝéèʠúùéèńňćĉéè óòḟ íìďđéèáàśŝ. ÎÏťț ďđóòéèśŝ ńňóòťț ḿṁáàķḱéè śŝéèńňśŝéè ťțóò śŝťțáàťțéè ťțĥȟéè ṕṗóòṕṗúùĺľáàŕříìťțý óòḟ ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ áàťț ťțĥȟéè éèńňďđ óòḟ áàńň íìńňťțŕřóòďđúùćĉťțóòŕřý ṕṗáàŕřáàĝǧŕřáàṕṗĥȟ.\n","content":"áàḟťțéèŕř śŝéèńňťțéèńňćĉéè 4.","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}},"type":"group","version":{"major":0,"minor":0}},"group 10":{"graded":true,"options":{"content":"At this point, the writer is considering adding the following sentence: “Scientists do not yet know all the benefits of singing, but the communal process that singing in a choir provides has many positive side effects.” Should the writer make this addition here?\n\n[[☃ radio 1]]","images":{},"metadata":["ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7KsAoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoP7jpQoM","ag5zfmtoYW4tYWNhZGVteXI2CxIRQXNzZXNzbWVudEl0ZW1UYWciATAMCxIRQXNzZXNzbWVudEl0ZW1UYWcYgICAoL6ttwoM"],"widgets":{"radio 1":{"graded":true,"options":{"choices":[{"clue":"ŤŢĥȟíìśŝ ćĉĥȟóòíìćĉéè íìśŝ ťțĥȟéè ƀḃéèśŝťț áàńňśŝẃẁéèŕř ƀḃéèćĉáàúùśŝéè íìťț áàďđďđśŝ ťțĥȟéè śŝéèńňťțéèńňćĉéè áàńňďđ óòḟḟéèŕřśŝ áà śŝóòúùńňďđ ŕřéèáàśŝóòńň ḟóòŕř ďđóòíìńňĝǧ śŝóò: ťțĥȟéè ƀḃéèńňéèḟíìťț óòḟ ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ íìśŝ íìńňďđéèéèďđ ťțĥȟéè ṕṗŕříìḿṁáàŕřý ćĉĺľáàíìḿṁ óòḟ ťțĥȟéè ṕṗáàśŝśŝáàĝǧéè. 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[2] ĆĈĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ íìśŝ áà ṕṗóòṕṗúùĺľáàŕř ṕṗáàśŝťțíìḿṁéè. [3] ŤŢĥȟéèśŝéè śŝíìńňĝǧéèŕřśŝ óòḟťțéèńň ŕřéèṕṗóòŕřťț áàńň íìńňćĉŕřéèáàśŝéèďđ śŝéèńňśŝéè óòḟ ẃẁéèĺľĺľ-ƀḃéèíìńňĝǧ áàńňďđ ćĉáàḿṁáàŕřáàďđéèŕříìéè, ƀḃúùťț ďđóòéèśŝ ťțĥȟíìśŝ ĥȟóòƀḃƀḃý áàćĉťțúùáàĺľĺľý ŕřéèśŝúùĺľťț íìńň ƀḃéèťțťțéèŕř ĥȟéèáàĺľťțĥȟ? [4] ÁÀćĉćĉóòŕřďđíìńňĝǧ ťțóò ḿṁúùĺľťțíìṕṗĺľéè śŝćĉíìéèńňťțíìḟíìćĉ śŝťțúùďđíìéèśŝ, śŝíìńňĝǧíìńňĝǧ—éèśŝṕṗéèćĉíìáàĺľĺľý ẃẁíìťțĥȟ óòťțĥȟéèŕřśŝ—ṕṗŕřóòṽṿíìďđéèśŝ ćĉóòńňćĉŕřéèťțéè ƀḃéèńňéèḟíìťțśŝ ťțóò ĥȟéèáàŕřťț áàńňďđ ƀḃŕřáàíìńň ĥȟéèáàĺľťțĥȟ. [[1]]\n \nÁÀ 2013 śŝťțúùďđý áàťț ŚŜẃẁéèďđéèńň’śŝ ÚÙńňíìṽṿéèŕřśŝíìťțý óòḟ ĜǦóòťțĥȟéèńňƀḃúùŕřĝǧ éèẍẋáàḿṁíìńňéèďđ ťțĥȟéè ĥȟéèáàŕřťț ŕřáàťțéèśŝ óòḟ 18 ýóòúùńňĝǧ ṕṗéèóòṕṗĺľéè áàśŝ ťțĥȟéèý śŝáàńňĝǧ áàńňďđ ĥȟúùḿṁḿṁéèďđ [[2]] __ḟóòŕř__ úùńňíìśŝóòńň. ĤȞéèáàŕřťț ŕřáàťțéè ṽṿáàŕříìáàƀḃíìĺľíìťțý (ĤȞŔŘṼṾ), ťțĥȟéè íìńňćĉŕřéèáàśŝéè áàńňďđ ďđéèćĉŕřéèáàśŝéè íìńň ĥȟéèáàŕřťț ŕřáàťțéè, óòćĉćĉúùŕřŕřéèďđ śŝíìḿṁúùĺľťțáàńňéèóòúùśŝĺľý ẃẁíìťțĥȟ śŝúùƀḃĵéèćĉťțśŝ’ śŝĺľóòẃẁéèďđ ƀḃŕřéèáàťțĥȟíìńňĝǧ ẃẁĥȟíìĺľéè śŝíìńňĝǧíìńňĝǧ. ŤŢĥȟíìśŝ ćĉóòḿṁƀḃíìńňáàťțíìóòńň óòḟ ḟĺľúùćĉťțúùáàťțíìńňĝǧ ĥȟéèáàŕřťț ŕřáàťțéè áàńňďđ śŝĺľóòẃẁéèďđ ƀḃŕřéèáàťțĥȟíìńňĝǧ [[3]] __áàŕřéè__ ćĉáàĺľĺľéèďđ ŕřéèśŝṕṗíìŕřáàťțóòŕřý śŝíìńňúùśŝ áàŕřŕřĥȟýťțĥȟḿṁíìáà (ŔŘŚŜÁÀ), áàńňďđ íìťț ĥȟáàśŝ ƀḃéèéèńň ṕṗŕřóòṽṿéèńň ťțóò ŕřéèďđúùćĉéè ťțĥȟéè ĺľíìķḱéèĺľíìĥȟóòóòďđ óòḟ ćĉáàŕřďđíìóòṽṿáàśŝćĉúùĺľáàŕř [[4]] __ďđíìśŝéèáàśŝéè áà ṕṗŕříìóòŕř ḟíìńňďđíìńňĝǧ íìńňďđéèṕṗéèńňďđéèńňťț óòḟ ťțĥȟéè 2013 śŝťțúùďđý.__ ÓÒńňéè íìńňťțéèŕřéèśŝťțíìńňĝǧ ḟíìńňďđíìńňĝǧ ḟŕřóòḿṁ ťțĥȟíìśŝ śŝťțúùďđý íìśŝ ťțĥȟáàťț ťțĥȟéè śŝúùƀḃĵéèćĉťțśŝ’ ĥȟéèáàŕřťțƀḃéèáàťțśŝ śŝýńňćĉĥȟŕřóòńňíìźžéèďđ ẃẁĥȟíìĺľéè ťțĥȟéèý śŝáàńňĝǧ ťțóòĝǧéèťțĥȟéèŕř. ŤŢĥȟíìśŝ ḿṁáàý ƀḃéè áà ḟáàćĉťțóòŕř íìńň ćĉĥȟóòíìŕř śŝíìńňĝǧéèŕřśŝ’ ŕřéèṕṗóòŕřťțéèďđ ḟéèéèĺľíìńňĝǧśŝ óòḟ ĥȟáàṕṗṕṗíìńňéèśŝśŝ áàńňďđ ƀḃóòńňďđíìńňĝǧ.\n \n[[5]] __ṔṖéèóòṕṗĺľéè ḟéèéèĺľ áà ķḱéèéèńň śŝéèńňśŝéè óòḟ ƀḃóòńňďđíìńňĝǧ ẃẁĥȟéèńň ťțĥȟéèý śŝíìńňĝǧ ťțóòĝǧéèťțĥȟéèŕř.__ ŚŜíìńňĝǧíìńňĝǧ śŝťțíìḿṁúùĺľáàťțéèśŝ ťțĥȟéè ŕříìĝǧĥȟťț ťțéèḿṁṕṗóòŕřáàĺľ ĺľóòƀḃéè óòḟ ťțĥȟéè ƀḃŕřáàíìńň áàńňďđ ŕřéèĺľéèáàśŝéèśŝ [[6]] __éèńňďđóòŕřṕṗĥȟíìńňśŝ. ÉÈńňďđóòŕřṕṗĥȟíìńňśŝ ƀḃĺľúùńňťț__ ṕṗáàíìńň áàńňďđ éèńňĝǧéèńňďđéèŕř ḟéèéèĺľíìńňĝǧśŝ óòḟ ṕṗĺľéèáàśŝúùŕřéè. ĆĈóòŕřťțíìśŝóòĺľ, áà ĥȟóòŕřḿṁóòńňáàĺľ ŕřéèáàćĉťțíìóòńň ťțóò śŝťțŕřéèśŝśŝ áàńňďđ ťțĥȟéè śŝéèćĉŕřéèťțíìóòńň óòḟ ẃẁĥȟíìćĉĥȟ ťțĥȟéè ƀḃŕřáàíìńň ćĉóòńňťțŕřóòĺľśŝ, ďđéèćĉŕřéèáàśŝéèśŝ áàḟťțéèŕř ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ. ḾṀéèáàńňẃẁĥȟíìĺľéè, óòẍẋýťțóòćĉíìńň, ẃẁĥȟíìćĉĥȟ ťțĥȟéè ƀḃŕřáàíìńň íìńňťțéèŕřṕṗŕřéèťțśŝ áàśŝ áà ḟéèéèĺľíìńňĝǧ óòḟ éèḿṁóòťțíìóòńňáàĺľ ƀḃóòńňďđíìńňĝǧ, íìśŝ íìńňćĉŕřéèáàśŝéèďđ. ÎÏńň áà śŝťțúùďđý áàťț ÓÒẍẋḟóòŕřďđ ɃḂŕřóòóòķḱéèśŝ ÚÙńňíìṽṿéèŕřśŝíìťțý, ŕřéèśŝéèáàŕřćĉĥȟéèŕřśŝ śŝúùŕřṽṿéèýéèďđ 375 ṕṗéèóòṕṗĺľéè ẃẁĥȟóò éèíìťțĥȟéèŕř śŝáàńňĝǧ áàĺľóòńňéè, śŝáàńňĝǧ íìńň áà ćĉĥȟóòíìŕř, óòŕř ṕṗáàŕřťțíìćĉíìṕṗáàťțéèďđ íìńň óòŕřĝǧáàńňíìźžéèďđ śŝṕṗóòŕřťțśŝ. ŤŢĥȟóòśŝéè ẃẁĥȟóò śŝáàńňĝǧ íìńň ćĉĥȟóòíìŕř ŕřéèṕṗóòŕřťțéèďđ ťțĥȟéè ĥȟíìĝǧĥȟéèśŝťț ĺľéèṽṿéèĺľśŝ óòḟ ĥȟáàṕṗṕṗíìńňéèśŝśŝ. [[7]] __ĎĐúùéè ťțóò__ íìťțśŝ ṕṗóòśŝíìťțíìṽṿéè śŝíìďđéè éèḟḟéèćĉťțśŝ, ťțĥȟéèŕřáàṕṗíìśŝťțśŝ ĥȟáàṽṿéè úùśŝéèďđ ćĉĥȟóòíìŕř śŝíìńňĝǧíìńňĝǧ áàśŝ [[8]] __áàńň éèĺľéèḿṁéèńňťț__ ḟóòŕř ťțĥȟóòśŝéè ďđéèáàĺľíìńňĝǧ ẃẁíìťțĥȟ ďđéèṕṗŕřéèśŝśŝíìóòńň áàńňďđ ćĉĥȟŕřóòńňíìćĉ ṕṗáàíìńň. ÁÀ śŝťțúùďđý ḟŕřóòḿṁ áàńň áàŕřťțśŝ áàńňďđ ĥȟéèáàĺľťțĥȟ ŕřéèśŝéèáàŕřćĉĥȟ ćĉéèńňťțéèŕř íìńň ĆĈáàńňťțéèŕřƀḃúùŕřý, ÉÈńňĝǧĺľáàńňďđ, ḟóòĺľĺľóòẃẁéèďđ ťțĥȟéè ṕṗŕřóòĝǧŕřéèśŝśŝ óòḟ ṕṗáàťțíìéèńňťțśŝ ďđíìáàĝǧńňóòśŝéèďđ ẃẁíìťțĥȟ ďđéèṕṗŕřéèśŝśŝíìóòńň ḟóòŕř áà ýéèáàŕř áàḟťțéèŕř ťțĥȟéèý ĵóòíìńňéèďđ áà ćĉĥȟóòíìŕř. ŚŜíìẍẋťțý ṕṗéèŕřćĉéèńňťț óòḟ ṕṗáàťțíìéèńňťțśŝ ŕřéèṕṗóòŕřťțéèďđ íìḿṁṕṗŕřóòṽṿéèďđ ḿṁéèńňťțáàĺľ ĥȟéèáàĺľťțĥȟ áàťț ťțĥȟéè éèńňďđ óòḟ ťțĥȟáàťț ýéèáàŕř, áàńňďđ śŝóòḿṁéè ẃẁéèŕřéè ńňóò ĺľóòńňĝǧéèŕř [[9]] __éèẍẋṕṗéèŕříìéèńňćĉíìńňĝǧ śŝúùḟḟéèŕříìńňĝǧ ḟŕřóòḿṁ ćĉĺľíìńňíìćĉáàĺľ ďđéèṕṗŕřéèśŝśŝíìóòńň.__\n \n[[10]] Ḟŕřóòḿṁ ťțĥȟéè ćĉĥȟáàńňĝǧéèśŝ íìńň ĥȟéèáàŕřťțƀḃéèáàťț áàńňďđ ƀḃŕřéèáàťțĥȟíìńňĝǧ ťțĥȟáàťț ŕřéèśŝúùĺľťț íìńň áà ĥȟéèáàĺľťțĥȟíìéèŕř ĥȟéèáàŕřťț, ťțóò ťțĥȟéè ŕřéèďđúùćĉťțíìóòńň óòḟ ćĉóòŕřťțíìśŝóòĺľ áàńňďđ ṕṗŕřóòďđúùćĉťțíìóòńň óòḟ éèńňďđóòŕřṕṗĥȟíìńňśŝ ťțĥȟáàťț ĺľóòẃẁéèŕř śŝťțŕřéèśŝśŝ áàńňďđ íìńňćĉŕřéèáàśŝéè [[11]] __ĥȟáàṕṗṕṗíìńňéèśŝśŝ. ĆĈĥȟóòíìŕř__ śŝíìńňĝǧíìńňĝǧ ḟúùĺľḟíìĺľĺľśŝ ĥȟúùḿṁáàńňśŝ ƀḃý ĺľéèťțťțíìńňĝǧ ťțĥȟéèḿṁ ćĉŕřéèáàťțéè áàŕřťț ẃẁĥȟíìĺľéè ƀḃéèíìńňĝǧ ṕṗáàŕřťț óòḟ áà ĝǧŕřóòúùṕṗ.","passageTitle":"ṔṖŕřéèáàćĉĥȟíìńňĝǧ ťțóò ťțĥȟéè ĆĈĥȟóòíìŕř: ťțĥȟéè ĤȞéèáàĺľťțĥȟ ɃḂéèńňéèḟíìťțśŝ óòḟ ŚŜíìńňĝǧíìńňĝǧ","showLineNumbers":false},"type":"passage","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/8e/95fa322d151b.json b/data/questions/f7/8e/95fa322d151b.json new file mode 100644 index 0000000000..d2a9e10ba0 --- /dev/null +++ b/data/questions/f7/8e/95fa322d151b.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=3\\cos(2x+6\\pi)+4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-5.5,4],[-6,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/95/70786b6b6b7f.json b/data/questions/f7/95/70786b6b6b7f.json new file mode 100644 index 0000000000..bac884bb8c --- /dev/null +++ b/data/questions/f7/95/70786b6b6b7f.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $15$ square units.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[2,-1],[2,2],[-3,2],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/95/d89ab4fd6737.json b/data/questions/f7/95/d89ab4fd6737.json new file mode 100644 index 0000000000..c8e8269494 --- /dev/null +++ b/data/questions/f7/95/d89ab4fd6737.json @@ -0,0 +1 @@ +{"content":"crwdns4116752:0$TRAM$crwdne4116752:0","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c915f517f7529dda4df3df640190f98527ad3f2a","width":425},"correct":{"coords":[[7,1],[4,5],[1,5],[7,7]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/9d/ed9d0e240e8e.json b/data/questions/f7/9d/ed9d0e240e8e.json new file mode 100644 index 0000000000..12174dd920 --- /dev/null +++ b/data/questions/f7/9d/ed9d0e240e8e.json @@ -0,0 +1 @@ +{"content":"crwdns4115303:0$ABCD$crwdnd4115303:0$Acrwdne4115303:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/54acda61b712f60ff784e4dc6ef203668b95e198","width":425},"correct":{"coords":[[0,-1],[2,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/ac/323201289aed.json b/data/questions/f7/ac/323201289aed.json new file mode 100644 index 0000000000..59d2298b7a --- /dev/null +++ b/data/questions/f7/ac/323201289aed.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1abac7e75feced028b622d07152cae6e27471570","width":425},"correct":{"coords":[[0,-10],[0,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-20,20],[-20,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/b2/daf46fffbd11.json b/data/questions/f7/b2/daf46fffbd11.json new file mode 100644 index 0000000000..d5f25ba250 --- /dev/null +++ b/data/questions/f7/b2/daf46fffbd11.json @@ -0,0 +1 @@ +{"content":"$\\triangle{PIN}$ is rotated $-270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6fe33fbdce2ff4a1e6ce82f6f5523339f7f518e5","width":425},"correct":{"coords":[[7,2],[7,7],[-3,2]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/b9/afed1c071d92.json b/data/questions/f7/b9/afed1c071d92.json new file mode 100644 index 0000000000..a7b9ced933 --- /dev/null +++ b/data/questions/f7/b9/afed1c071d92.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=4(x-2)^2-6$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[2,-6],[1,-2]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/bb/37347c4f0927.json b/data/questions/f7/bb/37347c4f0927.json new file mode 100644 index 0000000000..aae2fbb505 --- /dev/null +++ b/data/questions/f7/bb/37347c4f0927.json @@ -0,0 +1 @@ +{"content":"The number of songs that can fit on a hard drive depends on its storage space. \n\n\n\n\n| | ||\n- | :-: | :-:| :-:| :-:\nSongs | $100$ | $200$| $400$ \nStorage space $(\\text{GB})$ | $0.5$ | $1$ | $2$ \n\n**Plot the ordered pairs from the table.**\n\n[[☃ interactive-graph 1]]\n\n$$\n\n**Is the number of songs that can fit on a hard drive proportional to its storage space?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[0.5,100],[1,200],[2,400]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,50],"labels":["$\\text{Storage}$","$\\text{Songs}$"],"markings":"graph","range":[[-0.5,4.5],[-40,500]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,25],"step":[0.5,50]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□","correct":true},{"content":"□□","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/f7/be/30050dde3c8d.json b/data/questions/f7/be/30050dde3c8d.json new file mode 100644 index 0000000000..25cb47b74b --- /dev/null +++ b/data/questions/f7/be/30050dde3c8d.json @@ -0,0 +1 @@ +{"content":"**Plot the image of triangle $\\triangle ABC$ under a reflection across line $\\ell$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/437f335cea5f258836c2ea16748446a968479e2b","width":400},"correct":{"coords":[[5,-5],[4,-2],[2,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/bf/1c8bf4452bb7.json b/data/questions/f7/bf/1c8bf4452bb7.json new file mode 100644 index 0000000000..b7818355dc --- /dev/null +++ b/data/questions/f7/bf/1c8bf4452bb7.json @@ -0,0 +1 @@ +{"content":"In order to become a Silver Elite Member at Ripped Fitness, members must lift a total of $20{,}000$ $\\text{kg}$ or more in a single workout. David intends to accomplish this by only using the bench press and the squat machine. He will lift $100$ $\\text{kg}$ each bench press repetition and $200$ $\\text{kg}$ each squat repetition.\n\n**Write an *inequality* that represents the number of repetitions on the bench press $(B)$ and the squat machine $(S)$ that David needs to complete to become a Silver Elite Member.**\n\n[[☃ expression 1]]\n\n**Graph the constraint equation with $S$ on the horizontal axis and $B$ on the vertical axis.**\n\n[[☃ interactive-graph 1]]\n\n**If David completes $95$ repetitions on the bench press $(B)$, which of the following numbers of squat machine repetitions $(S)$ can he complete to become a Silver Elite Member?** \n\n[[☃ radio 1]]","images":{},"widgets":{"expression 1":{"graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"100B+200S>=20000"},{"considered":"correct","form":false,"key":1,"simplify":false,"value":"100b+200s\\ge20000"}],"buttonSets":["basic","basic relations","advanced relations"],"functions":["f","g","h"],"times":false},"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,200],[100,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[10,10],"labels":["S","B"],"markings":"graph","range":[[-15,150],[-25,250]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[20,25]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"$40$","correct":false},{"content":"$45$","correct":false},{"content":"$50$","correct":false},{"content":"$55$","correct":true},{"content":"$60$","correct":true}],"deselectEnabled":false,"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/ed/4c15180bda3c.json b/data/questions/f7/ed/4c15180bda3c.json new file mode 100644 index 0000000000..f6733f6661 --- /dev/null +++ b/data/questions/f7/ed/4c15180bda3c.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-x^2-6x-3$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-3,6],[0,-3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/ee/b4aabf707992.json b/data/questions/f7/ee/b4aabf707992.json new file mode 100644 index 0000000000..ae260bdccd --- /dev/null +++ b/data/questions/f7/ee/b4aabf707992.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-2\\cos\\left(\\dfrac{1}{6}x\\right)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,-5],[0,-7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f7/f8/f42e2c22947d.json b/data/questions/f7/f8/f42e2c22947d.json new file mode 100644 index 0000000000..67b9f216ef --- /dev/null +++ b/data/questions/f7/f8/f42e2c22947d.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-2)^2+y^2=49$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[2,0],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/09/86ee190234d1.json b/data/questions/f8/09/86ee190234d1.json new file mode 100644 index 0000000000..390330df09 --- /dev/null +++ b/data/questions/f8/09/86ee190234d1.json @@ -0,0 +1 @@ +{"content":"A baby bird jumps from a tree branch and flutters to the ground. The function $f$ models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping.\n\n**Plot the point on the graph of $f$ that corresponds to the bird's height above the ground when it jumped.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,2],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd6ed271d8ae39e908e3b4e0f9e6f8d7665dd8cf","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-2,4],[-4,18]],"gridStep":[0.5,1],"snapStep":[0.25,1],"graph":{"type":"point"},"correct":{"type":"point","coords":[[0,12]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/21/81e9ff68fb36.json b/data/questions/f8/21/81e9ff68fb36.json new file mode 100644 index 0000000000..ac10133cfd --- /dev/null +++ b/data/questions/f8/21/81e9ff68fb36.json @@ -0,0 +1 @@ +{"content":"**Graph $y=5\\sin\\left(\\dfrac{\\pi}{2}x\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,-4],[1,1]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/24/8e3626da4b3f.json b/data/questions/f8/24/8e3626da4b3f.json new file mode 100644 index 0000000000..445b086e3d --- /dev/null +++ b/data/questions/f8/24/8e3626da4b3f.json @@ -0,0 +1 @@ +{"content":"crwdns3415421:0$4$crwdne3415421:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.5,0],[2.5,5.5],[0.5,0]],"match":"congruent","showAngles":true,"showSides":true,"type":"polygon"},"graph":{"showAngles":true,"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"grid","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/2b/8ecfe97bf46f.json b/data/questions/f8/2b/8ecfe97bf46f.json new file mode 100644 index 0000000000..b4f91e964f --- /dev/null +++ b/data/questions/f8/2b/8ecfe97bf46f.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(2,0)$ and has a radius of $2.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[2,0],"radius":2.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/2b/db0a8a58a5a3.json b/data/questions/f8/2b/db0a8a58a5a3.json new file mode 100644 index 0000000000..89b9b0611d --- /dev/null +++ b/data/questions/f8/2b/db0a8a58a5a3.json @@ -0,0 +1 @@ +{"content":"Sean measured the height and petal length (in centimeters) of all the flowers in his garden. \n\n**Plot the data in a scatter plot.** \n \n|||||||\n:-- | --: | --: | --: | --: | --: | --: \n**Height $(\\text{cm})$** | $32.5$ | $20$ | $15$ | $35$ | $10$ | $37.5$ \n**Petal length $(\\text{cm})$**| $5$ | $4$ | $2$ | $8$ | $1.5$ | $8.5$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[5,1],"backgroundImage":{"url":"","scale":1,"bottom":0,"left":0,"width":0,"height":0},"markings":"graph","labels":["$\\text{Height}$","$\\text{Petal length}$"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-4,42],[-1,11]],"gridStep":[5,1],"snapStep":[2.5,0.5],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[32.5,5],[20,4],[15,2],[35,8],[10,1.5],[37.5,8.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/2f/337e10c5e214.json b/data/questions/f8/2f/337e10c5e214.json new file mode 100644 index 0000000000..7e02022bdb --- /dev/null +++ b/data/questions/f8/2f/337e10c5e214.json @@ -0,0 +1 @@ +{"content":"crwdns5528727:0$60$crwdne5528727:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[50,15],[60,10]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/763b155f158ad1e8b501e257bf2e874ce776d172","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,5],"labels":["",""],"markings":"none","range":[[-5,70],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[10,5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/38/dc70ad50e7b5.json b/data/questions/f8/38/dc70ad50e7b5.json new file mode 100644 index 0000000000..81d5707281 --- /dev/null +++ b/data/questions/f8/38/dc70ad50e7b5.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $6$ units from Point $\\blueD{B}$ and also share the same $y$-coordinate as Point $\\blueD{B}$.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/faaca03688aa5060cb8b942bc569487278b5ddd5","width":425},"correct":{"coords":[[7,3],[-5,3]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/3c/89419806118f.json b/data/questions/f8/3c/89419806118f.json new file mode 100644 index 0000000000..318edaa955 --- /dev/null +++ b/data/questions/f8/3c/89419806118f.json @@ -0,0 +1 @@ +{"content":"Malaya has $4$ books checked out from the library. In the graph below, the variable $b$ represents the number of books Malaya decides to check out on her next library visit (she doesn't return any). The variable $t$ represents the total number of books Malaya has checked out from the library. \n\nThe relationship between these two variables can be expressed by the following equation:\n\n$t = 4+b$\n\n**Plot points on the graph that show the total number of books Malaya will have checked out from the library if she gets $2$ books or $5$ books on her next library visit.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/0adc33600dd34f0872764782894f8f4412e6c200.png":{"height":417,"width":652},"https://ka-perseus-images.s3.amazonaws.com/186d5ac5700527aa67212626c5c5a5e85f5b2294.png":{"height":346,"width":638},"https://ka-perseus-images.s3.amazonaws.com/9414326460bfa10add9710ab23911ba7ed6d78b2.png":{"height":202,"width":395}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[2,6],[5,9]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["\\text{New books}","\\text{Total books}"],"markings":"graph","range":[[-1,11],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/47/0c9c574868fb.json b/data/questions/f8/47/0c9c574868fb.json new file mode 100644 index 0000000000..9e881c2030 --- /dev/null +++ b/data/questions/f8/47/0c9c574868fb.json @@ -0,0 +1 @@ +{"content":"This system of two linear equations is graphed below.\n\n$\\qquad\\green{x=3y-12}$\n\n$\\qquad\\pink{x + 6=-y}$\n\n**Create a new equation by setting the left-hand side of the upper equation equal to the right-hand side of the lower equation and solving for $y$.** \n[[☃ expression 1]]\n\nThe solution to the original system of equations [[☃ dropdown 1]] a solution to the new equation.\n\n**Graph the new equation below using the third line.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"dropdown 1":{"graded":true,"options":{"choices":[{"content":"is not","correct":true},{"content":"is also","correct":false}],"placeholder":""},"type":"dropdown","version":{"major":0,"minor":0}},"expression 1":{"graded":true,"options":{"buttonSets":["basic"],"form":false,"functions":["f","g","h"],"simplify":false,"times":false,"value":"-x=y"},"type":"expression","version":{"major":0,"minor":1}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/3e53f37bc8c8220a13b6b2ad967cf4807f1b8aaa.png","width":425},"correct":{"coords":[[-5,5],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/56/7fb174139f5d.json b/data/questions/f8/56/7fb174139f5d.json new file mode 100644 index 0000000000..cd1ac4f48a --- /dev/null +++ b/data/questions/f8/56/7fb174139f5d.json @@ -0,0 +1 @@ +{"content":"Callan goes for a hike every Saturday. Callan hikes at a rate of $3$ miles per hour.\n\n**Complete the table for the given ratio.** \n \nHours, $x$ | Miles, $y$ \n:-: | :-: \n$1$ | $3$\n$3$| [[☃ numeric-input 3]]\n$5$ | [[☃ numeric-input 5]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,3],[3,9],[5,15]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,1],"labels":["□","□"],"markings":"graph","range":[[-1,7],[-2,21]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,3]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":15}],"coefficient":false,"labelText":"","multipleNumberInput":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/64/867818b8eb9d.json b/data/questions/f8/64/867818b8eb9d.json new file mode 100644 index 0000000000..8a03b8c005 --- /dev/null +++ b/data/questions/f8/64/867818b8eb9d.json @@ -0,0 +1 @@ +{"content":"**Use the \"Reflect\" tool to find the image of $\\triangle{XYZ}$ for a reflection over the line $y=-x-4$.** \n\n\n[[☃ transformer 2]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/2ea6fabb7129492fcf2d772e21d18950a71d17d2.png","width":425},"correct":{"coords":[[5,-3],[-2,0],[-8,-4]],"type":"polygon"},"graph":{"type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"transformer 1":{"graded":true,"options":{"correct":{"shape":{"coords":[[4,2],[5,-3],[9,5]],"options":[{}],"type":["polygon-3"]},"transformations":[{"line":[[-1.5,-1.5],[1.5,1.5]],"type":"reflection"}]},"drawSolutionShape":false,"gradeEmpty":false,"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5f12fa9b495ef77f4fd0dabee18cd50ad1c29174","width":400},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"static","starting":{"shape":{"coords":[[2,4],[-3,5],[5,9]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":false,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[-5.999999999999999,-1.5],[-6,2.4999999999999987]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":false,"required":false},"translation":{"constraints":{},"enabled":false,"required":false}},"version":1.2},"type":"transformer","version":{"major":0,"minor":0}},"transformer 2":{"graded":true,"options":{"correct":{"shape":{"coords":[[-3,-3],[-9,-3],[-3,-7]],"options":[{}],"type":["polygon-3"]},"transformations":[{"line":[[1.5,-5.5],[-1.5,-2.5]],"type":"reflection"}]},"drawSolutionShape":false,"gradeEmpty":false,"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3bb6d38df78e846f7e3786af2ed0305730f29e65","width":400},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"graphMode":"interactive","listMode":"static","starting":{"shape":{"coords":[[-1,-1],[-1,5],[3,-1]],"options":[{}],"type":["polygon-3"]},"transformations":[]},"tools":{"dilation":{"constraints":{"fixed":false},"coord":[6,6],"enabled":false,"required":false},"reflection":{"constraints":{"fixed":false},"coords":[[8.000000000000002,-5.499999999999998],[8.000000000000002,-1.5000000000000018]],"enabled":true,"required":false},"rotation":{"constraints":{"fixed":false},"coord":[1,6],"enabled":false,"required":false},"translation":{"constraints":{},"enabled":false,"required":false}},"version":1.2},"type":"transformer","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/6f/626731325626.json b/data/questions/f8/6f/626731325626.json new file mode 100644 index 0000000000..b6f4b3f1ce --- /dev/null +++ b/data/questions/f8/6f/626731325626.json @@ -0,0 +1 @@ +{"content":" Consider the following trigonometric function:\n\n$\\qquad f(x)=3\\cos(2x+6\\pi)+4$\n\n**Graph $f(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","scale":1,"bottom":0,"left":0,"width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"sinusoid"},"correct":{"type":"sinusoid","coords":[[-5.5,4],[-6,7]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/72/9190ecaef497.json b/data/questions/f8/72/9190ecaef497.json new file mode 100644 index 0000000000..be123b9502 --- /dev/null +++ b/data/questions/f8/72/9190ecaef497.json @@ -0,0 +1 @@ +{"content":"A pool has some initial amount of water in it. Then it starts being filled so the water level rises at a rate of $6$ centimeters per minute. After $20$ minutes, the water level is $220$ centimeters,\n\n**Graph the pool's water level (in centimeters) as a function of time (in minutes).** \n$$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[15,190],[20,220]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/329b8ad3b68275b69539cd42272e1121a062967c","width":400},"editableSettings":["graph","snap","image"],"gridStep":[2.5,10],"labels":["",""],"markings":"none","range":[[-5,30],[-20,250]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,10],"step":[5,20],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/79/fce0cbede9d1.json b/data/questions/f8/79/fce0cbede9d1.json new file mode 100644 index 0000000000..2e87c1dbe3 --- /dev/null +++ b/data/questions/f8/79/fce0cbede9d1.json @@ -0,0 +1 @@ +{"content":"Consider the complex number $z=5 \\left( \\cos(307\\degree) + i\\sin(307\\degree) \\right)$.\n\n**Plot $z$ in the complex plane below.** \n*If necessary, round the point's coordinates to the nearest integer.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/733ef19bc76a8a21bcf789ed01943d508ba4056a","width":400},"correct":{"coords":[[3,-4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-6,6],[-6,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/8c/e864cffef0f2.json b/data/questions/f8/8c/e864cffef0f2.json new file mode 100644 index 0000000000..dabdeee479 --- /dev/null +++ b/data/questions/f8/8c/e864cffef0f2.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(1, 6.5), (-2, 2), (-3, -1), (-2, -3), (8, 0), (6, 5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6.5],[-2,2],[-3,-1],[-2,-3],[8,0],[6,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/95/e3a182bc5847.json b/data/questions/f8/95/e3a182bc5847.json new file mode 100644 index 0000000000..a0313a1e70 --- /dev/null +++ b/data/questions/f8/95/e3a182bc5847.json @@ -0,0 +1 @@ +{"content":"**Use the line segments to connect all possible pairs of the points $\\text{A}$, $\\text{B}$, and $\\text{C}$. Then complete the statement below. **\n\n[[☃ interactive-graph 1]]\n\nThese are line segments because they each have [[☃ dropdown 1]] and continue forever in [[☃ dropdown 2]].","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò éèńňďđṕṗóòíìńňťțśŝ","correct":false},{"content":"óòńňéè éèńňďđṕṗóòíìńňťț","correct":false},{"content":"ťțẃẁóò éèńňďđṕṗóòíìńňťțśŝ","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"źžéèŕřóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":true},{"content":"óòńňéè ďđíìŕřéèćĉťțíìóòńň","correct":false},{"content":"ťțẃẁóò ďđíìŕřéèćĉťțíìóòńňśŝ","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/009bde8c529cd0f9c8fea990aac9937603b26526.png","width":400},"correct":{"coords":[[[0,6],[6,-6]],[[-6,-6],[0,6]],[[-6,-6],[6,-6]]],"numSegments":3,"type":"segment"},"graph":{"numSegments":3,"type":"segment"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/9e/8118209ce4c3.json b/data/questions/f8/9e/8118209ce4c3.json new file mode 100644 index 0000000000..a5653e0cf3 --- /dev/null +++ b/data/questions/f8/9e/8118209ce4c3.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/81ba0cd809b3b4eead16c147700619fb289ed1d1.png":{"height":229,"width":161},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ad6c84c622d6714f108c0255cec841970bb9321f":{"height":69,"width":400}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["Point","Value"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$-5.75$","$-5\\dfrac12$","$-4\\dfrac14$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/a0/f143d513f360.json b/data/questions/f8/a0/f143d513f360.json new file mode 100644 index 0000000000..7b4c8f9b6b --- /dev/null +++ b/data/questions/f8/a0/f143d513f360.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a triangle with $45^\\circ$, $35^\\circ$, and $100^\\circ$ angles.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-2.7317170022188737,-8.607482496997033],[2.9204199736582312,8.285714285714286],[-6.364571590277721,3.65623545014836]],"match":"similar","showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"graph":{"showAngles":true,"showSides":false,"snapTo":"angles","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/a6/cbc643e5856c.json b/data/questions/f8/a6/cbc643e5856c.json new file mode 100644 index 0000000000..507c632d39 --- /dev/null +++ b/data/questions/f8/a6/cbc643e5856c.json @@ -0,0 +1 @@ +{"content":"**$\\triangle{NOW}$ is rotated $90^\\circ$ about point $(2,1)$. Below, modify the orange triangle to create the image of this rotation.**\n\n*To modify the orange figure, move the vertices one at a time or select and drag the entire figure.*\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n\n[[☃ interactive-graph 2]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/3aa306bbe7ede3067d116d597eb2e0324867d1f3","width":400},"correct":{"coords":[[7,1],[4,7],[1,1]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e98730da75ea202f048b860cb802424c71818cf1","width":400},"correct":{"coords":[[-1,-6],[2,-3],[6,-8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/a7/5e06cf286024.json b/data/questions/f8/a7/5e06cf286024.json new file mode 100644 index 0000000000..cfd6068d47 --- /dev/null +++ b/data/questions/f8/a7/5e06cf286024.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-2(x-1)^2+8$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,8],[0,6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/ab/49c60b589424.json b/data/questions/f8/ab/49c60b589424.json new file mode 100644 index 0000000000..2a9986a0e9 --- /dev/null +++ b/data/questions/f8/ab/49c60b589424.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7ee6359c4699a6e6f347994e4fa3d6a07a4f340b","width":430},"correct":{"coords":[[-5,-2]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/e0/e93a5c68ee20.json b/data/questions/f8/e0/e93a5c68ee20.json new file mode 100644 index 0000000000..6b3db3ded6 --- /dev/null +++ b/data/questions/f8/e0/e93a5c68ee20.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(5, 5), (-3, 4), (-5, 1), (-4.5, -4), (1, -5), (9, 0)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[5,5],[-3,4],[-5,1],[-4.5,-4],[1,-5],[9,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/f8/e8/68027783dd7e.json b/data/questions/f8/e8/68027783dd7e.json new file mode 100644 index 0000000000..1f1984162f --- /dev/null +++ b/data/questions/f8/e8/68027783dd7e.json @@ -0,0 +1 @@ +{"content":"**Graph $y = 5(x-7)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[8,5],[7,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/fa/ceb8dcbac4e9.json b/data/questions/f8/fa/ceb8dcbac4e9.json new file mode 100644 index 0000000000..93c1424190 --- /dev/null +++ b/data/questions/f8/fa/ceb8dcbac4e9.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{1}{4}x^2-2x$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[4,-4],[0,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f8/fa/f385fed9a8c2.json b/data/questions/f8/fa/f385fed9a8c2.json new file mode 100644 index 0000000000..c6fa996695 --- /dev/null +++ b/data/questions/f8/fa/f385fed9a8c2.json @@ -0,0 +1 @@ +{"content":"**Construct a $60^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/0faeb26c6f907159fcdd7be63671c3a8794e9715.png":{"height":179,"width":159},"https://ka-perseus-images.s3.amazonaws.com/5b573582c133c63d725827e4420cd59e53ec9e48.png":{"height":342,"width":367}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":null,"width":0},"correct":{"coords":[[-1.3706088693859768,-6.6260358009189515],[0,-9],[-3.0571018814524726,-9]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/00/f2532b81541f.json b/data/questions/f9/00/f2532b81541f.json new file mode 100644 index 0000000000..f0eaece979 --- /dev/null +++ b/data/questions/f9/00/f2532b81541f.json @@ -0,0 +1 @@ +{"content":"The graph below contains square $ABCD$ and the point $P$. \n \n**Draw the image of $ABCD$ under a dilation whose center is $P$ and scale factor is $\\dfrac{1}{2}$.** \n \n[[☃ interactive-graph 1]]\n \n**What are the lengths of the sides of $ABCD$ and its image?** \n\nThe sides of $ABCD$ are [[☃ input-number 1]] units long, and the sides of its image are [[☃ input-number 2]] units long.","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"6"},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/f4b1791fa3d38ded6e527645be099cfb37a8304b.png","width":425},"correct":{"coords":[[-1,2],[-1,5],[-4,5],[-4,2]],"numSides":4,"showAngles":false,"type":"polygon"},"graph":{"numSides":4,"showAngles":false,"type":"polygon"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/11/cd0769c1a473.json b/data/questions/f9/11/cd0769c1a473.json new file mode 100644 index 0000000000..375c65ce1a --- /dev/null +++ b/data/questions/f9/11/cd0769c1a473.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a hexagon with vertices at the following points.** \n\n$(1, 6.5), (-2, 2), (-3, -1), (-2, -3), (8, 0), (6, 5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,6.5],[-2,2],[-3,-1],[-2,-3],[8,0],[6,5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/28/4f12f37d5f0a.json b/data/questions/f9/28/4f12f37d5f0a.json new file mode 100644 index 0000000000..094a21d6dd --- /dev/null +++ b/data/questions/f9/28/4f12f37d5f0a.json @@ -0,0 +1 @@ +{"content":"Jada has a stand in the marketplace where she sells ground paprika. Her profit increases by $\\$7.50$ for every kilogram of paprika she sells, and she needs to sell $40$ kilograms to cover her weekly expenses.\n\n**Graph Jada's weekly profit (in dollars) as a function of the amount of paprika she sold that week (in kilograms).** \n$$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[60,150],[40,0]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/06cf8441a629315114b89c6c528af50042b61130","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,50],"labels":["",""],"markings":"none","range":[[-10,100],[-350,450]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,50],"step":[10,100],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/2a/964ce5ad9af9.json b/data/questions/f9/2a/964ce5ad9af9.json new file mode 100644 index 0000000000..41ce49520f --- /dev/null +++ b/data/questions/f9/2a/964ce5ad9af9.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=3\\cos(2x+6\\pi)+4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-5.5,4],[-6,7]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/2b/38556b0ac1eb.json b/data/questions/f9/2b/38556b0ac1eb.json new file mode 100644 index 0000000000..e295b47ad4 --- /dev/null +++ b/data/questions/f9/2b/38556b0ac1eb.json @@ -0,0 +1 @@ +{"content":"Cole lives at $1^{\\text{st}}$ Avenue and $11^{\\text{th}}$ Street, represented by the point $(1,11)$ on the map below. He decides to meet his best friend at the movie theater at $6^{\\text{th}}$ Avenue and $4^{\\text{th}}$ Street, represented by $(6, 4)$ on the map. He will walk down $1^{\\text{st}}$ Avenue then over on $4^{\\text{th}}$ Street.\n\n**Plot Cole's house and the movie theater on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How many blocks does Cole walk to get to the theater?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":12},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[1,11],[6,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,14],[-1,14]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/2f/ce342f9631f6.json b/data/questions/f9/2f/ce342f9631f6.json new file mode 100644 index 0000000000..b8efd53e16 --- /dev/null +++ b/data/questions/f9/2f/ce342f9631f6.json @@ -0,0 +1 @@ +{"content":"Jozy throws a stone off of a bridge into a river. The function $f$ models the stone's height (in meters) above the water as a function of time (in seconds) after Jozy throws it.\n\n**Plot the point on the graph of $f$ that corresponds to the height above the water from which Jozy threw the stone.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ef382fead9b6e71f8e3da5be90ec8c7907bc54a4","width":400},"correct":{"coords":[[0,25]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-2,7],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,2.5],"step":[1,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/41/f70ef9ad17cd.json b/data/questions/f9/41/f70ef9ad17cd.json new file mode 100644 index 0000000000..d39c92694c --- /dev/null +++ b/data/questions/f9/41/f70ef9ad17cd.json @@ -0,0 +1 @@ +{"content":"Atilio drew $2$ of the same rectangle with an area of $12$ square units. He turned one sideways.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $6$ units long.*\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/15defa3644dce5f16c6f138a573aa52fc6a09e61","width":400,"height":400},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,5],[-5,5]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[1,-2],[1,1],[-3,1],[-3,-2]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/47/c49e26f8612a.json b/data/questions/f9/47/c49e26f8612a.json new file mode 100644 index 0000000000..87df388196 --- /dev/null +++ b/data/questions/f9/47/c49e26f8612a.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the hexagon by connecting two black points.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[2,2],"backgroundImage":{"url":"https://ka-perseus-graphie.s3.amazonaws.com/0f55039bab46b48fbba040bcf59b4ebff9414926.png","scale":"1","bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,10],[-10,5]],"gridStep":[1,1],"snapStep":[0.5,0.5],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[4,4.5],[4,-9.5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/47/ffc49e7e038e.json b/data/questions/f9/47/ffc49e7e038e.json new file mode 100644 index 0000000000..b8446a0e92 --- /dev/null +++ b/data/questions/f9/47/ffc49e7e038e.json @@ -0,0 +1 @@ +{"content":"Scientists are sending a rover to Mars. Their plan is to study a rectangular area of Mars represented by the grid below. On the grid, $1$ unit represents $1$ kilometer $(\\text{km})$.\n\nThe rover will land at $(2.5,2)$, explore up to $(2.5,4.5)$, and then over to $(4,4.5)$. \n\n**Plot these points on the map.**\n\n**What are the coordinates of the fourth vertex of the rectangle that the scientists plan to explore?** \n$($[[☃ input-number 1]], [[☃ input-number 2]]$)$\n\n**What is the horizontal length of the rectangle?** \n[[☃ input-number 3]]\n\n**What is the vertical length of the rectangle?** \n[[☃ input-number 4]]\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":4},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":2},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":1.5},"type":"input-number","version":{"major":0,"minor":0}},"input-number 4":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":2.5},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[2.5,2],[2.5,4.5],[4,4.5]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,5],[-1,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/51/744eb10e18ef.json b/data/questions/f9/51/744eb10e18ef.json new file mode 100644 index 0000000000..94224c8417 --- /dev/null +++ b/data/questions/f9/51/744eb10e18ef.json @@ -0,0 +1 @@ +{"content":"\n\nDrag the vertex of the angle to place the vertex at point $\\text{A}$. \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an acute angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/807ea77cf7031c1b9a45694083f05b5e09b01946.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[2.2059851900220853,2.2059851900220853],[-2,-2],[-4.973144353700384,5.004289159600586]],"showAngles":true,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"showAngles":true,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/54/70bed5a1f2f3.json b/data/questions/f9/54/70bed5a1f2f3.json new file mode 100644 index 0000000000..17606d2bd0 --- /dev/null +++ b/data/questions/f9/54/70bed5a1f2f3.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$-6$|$3$|$-6$|$2$|$-6$\n\n**Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/93f893be5d4f1d7a3afba7f5cca7c155e1b75863","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,4]],[[-5,-3],[5,1]],[[-5,-6],[5,4]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/f9/5c/5cb96fc5e565.json b/data/questions/f9/5c/5cb96fc5e565.json new file mode 100644 index 0000000000..f91ee32066 --- /dev/null +++ b/data/questions/f9/5c/5cb96fc5e565.json @@ -0,0 +1 @@ +{"content":"crwdns5528695:0$5$crwdnd5528695:0$3$crwdne5528695:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":[[0,-5],[5,-20]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/693a087dbce7225c826c0d6a5f9679e47b247451","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,2.5],"labels":["",""],"markings":"none","range":[[-2,20],[-50,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,2.5],"step":[2,5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/65/abec9f886f27.json b/data/questions/f9/65/abec9f886f27.json new file mode 100644 index 0000000000..c0703009d9 --- /dev/null +++ b/data/questions/f9/65/abec9f886f27.json @@ -0,0 +1 @@ +{"content":"Melissa made three batches of oatmeal cookies. Her recipe calls for amounts of sugar (in cups) and flour (in cups) in the following ratios.\n\n ||||\n-:|-:|-:|-:\n|**Batch $1$**|**Batch $2$**|**Batch $3$**\nCups of sugar|$2$|$3$|$4$\nCups of flour|$4\\dfrac{1}{2}$|$6\\dfrac{3}{4}$|$9$\n\n**What is the unit rate of change of flour $(y)$ with respect to sugar $(x)$?** That is, how much flour corresponds to *one* cup of sugar?\n\nThe unit rate of change is [[☃ input-number 1]] .\n\n\n**Graph the proportional relationship described above, with the $x$-coordinate representing cups of sugar, and the $y$-coordinate representing cups of flour.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"2.25"},"static":false,"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[4,9]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/6f/4257883dc910.json b/data/questions/f9/6f/4257883dc910.json new file mode 100644 index 0000000000..1931282e0f --- /dev/null +++ b/data/questions/f9/6f/4257883dc910.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $P$ and scale factor is $3$.**\n \n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b736520684b73f6574e3628ea109d0774df59456":{"height":152,"width":320}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f13715756be7e317009f2c22196703e973384976","width":400},"correct":{"coords":[[6,-4],[-6,5],[-6,-4]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/7c/041ccfcec907.json b/data/questions/f9/7c/041ccfcec907.json new file mode 100644 index 0000000000..4d5f323dc2 --- /dev/null +++ b/data/questions/f9/7c/041ccfcec907.json @@ -0,0 +1 @@ +{"content":"Naomi lives at $2^{\\text{nd}}$ Avenue and $3^{\\text{rd}}$ Street, represented by the point $(2,3)$ on the map below. Her school is located at $4^{\\text{th}}$ Avenue and $10^{\\text{th}}$ Street, represented by $(4, 10)$ on the map. To get to school, she walks over to $4^{\\text{th}}$ Avenue and up to $10^{\\text{th}}$ Street.\n\n**Plot Naomi's house and her school on the map.**\n\n[[☃ interactive-graph 1]]\n\n**How far does Naomi walk to get to school?** \n[[☃ input-number 1]] blocks","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":9},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,3],[4,10]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/90/69715bd7c1d0.json b/data/questions/f9/90/69715bd7c1d0.json new file mode 100644 index 0000000000..7f76584412 --- /dev/null +++ b/data/questions/f9/90/69715bd7c1d0.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x+2)^2+(y+1)^2=49$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[-2,-1],"radius":7,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/9d/84314f66c8bb.json b/data/questions/f9/9d/84314f66c8bb.json new file mode 100644 index 0000000000..6948858002 --- /dev/null +++ b/data/questions/f9/9d/84314f66c8bb.json @@ -0,0 +1 @@ +{"content":"Zane is a dangerous fellow who likes to go rock climbing in active volcanoes. One time, when he was $20$ meters below the edge of a volcano, he heard some rumbling, so he decided to climb up out of there as quickly as he could. He managed to climb up $4$ meters each second and get out of the volcano safely.\n\n**Graph the relationship between Zane's elevation relative to the edge of the volcano (in meters) and time (in seconds).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[0,-20],[1,-16]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/eba38b569ed1dd35434cd99a7b5b81554f7c47eb","width":400},"editableSettings":["graph","snap","image"],"gridStep":[0.5,2],"labels":["",""],"markings":"none","range":[[-0.5,6],[-22,2]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,2],"step":[0.5,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/b8/620b3cbba260.json b/data/questions/f9/b8/620b3cbba260.json new file mode 100644 index 0000000000..5661a8a47b --- /dev/null +++ b/data/questions/f9/b8/620b3cbba260.json @@ -0,0 +1 @@ +{"content":"Jalen drew $2$ of the same rectangle with an area of $6$ square units. She turned one sideways.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $3$ units long.*\n\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"width":414,"height":439},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"width":490,"height":356},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"width":546,"height":487}},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e8421531b9f3607fe3c3764d0939550de3b60dd8","width":400,"height":400},"markings":"grid","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-5,5],[-5,5]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[3,-1],[3,0],[-3,0],[-3,-1]],"snapTo":"grid","match":"congruent","showAngles":false,"showSides":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/f9/bd/7c66eefbe1e5.json b/data/questions/f9/bd/7c66eefbe1e5.json new file mode 100644 index 0000000000..af396d7e60 --- /dev/null +++ b/data/questions/f9/bd/7c66eefbe1e5.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(0,8)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,8]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/20/e6332c502711.json b/data/questions/fa/20/e6332c502711.json new file mode 100644 index 0000000000..8907513b7f --- /dev/null +++ b/data/questions/fa/20/e6332c502711.json @@ -0,0 +1 @@ +{"content":"**Which graph shows an exponential function with a domain of $-6 < x \\leq 8$?**\n\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b093b6311e43ab359b5cb3aa7342d7ccfe237b5","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in a filled circle at (negative 5, 8) and ends on the right side in an open, unfilled circle at (7, -6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/fdeb6e0afbcaa9fa52e3571f2b17a40f9e4c5ba3)","correct":false},{"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in an open, unfilled circle at (negative 5, 8) and ends on the right side in a filled circle at (7, -6).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/39502c69e176043c4487cc28ce43afe59b463e41)","correct":false},{"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in a filled circle at (negative 6, 8) and ends on the right side in an open, unfilled circle at (8, 0 point 5).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/6e3385a10ba51af7a90b0d72e7f50c8952721657)","correct":false,"isNoneOfTheAbove":false},{"content":"![A segment of an exponential function is graphed. The x and g of x axes go from negative 10 to 10. The curve ends on the left side in an open, unfilled circle at (negative 6, 8) and ends on the right side in a filled circle at (8, 0 point 5).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/3e0d5dd0fe610f3410166341f60f6f18b526bb8b)","correct":true,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/fa/28/97c359ac3c59.json b/data/questions/fa/28/97c359ac3c59.json new file mode 100644 index 0000000000..9a521ffacd --- /dev/null +++ b/data/questions/fa/28/97c359ac3c59.json @@ -0,0 +1 @@ +{"content":"Quadrilateral $FRED$ is rotated $90^\\circ$ about the point $(2,-4)$. \n\n**Draw the image of this rotation using the interactive graph.**\n\n*The direction of a rotation by a positive angle is counter-clockwise.* \n\n[[☃ interactive-graph 3]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c9e19f7672ce6fa4f9bf3b46616ae7b11d86172c","width":425},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/2b/ca7c24772cd9.json b/data/questions/fa/2b/ca7c24772cd9.json new file mode 100644 index 0000000000..e84f71e1e9 --- /dev/null +++ b/data/questions/fa/2b/ca7c24772cd9.json @@ -0,0 +1 @@ +{"content":"**दो काले बिंदुओं को जोड़कर, त्रिभुज से होकर जाने वाली एक सममिति अक्ष बनाएँ।**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f63ceb348f447318484b079be697d96c9b7f112e.png","width":400},"correct":{"coords":[[-6,-6],[7,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/38/66698e0830a6.json b/data/questions/fa/38/66698e0830a6.json new file mode 100644 index 0000000000..5077986967 --- /dev/null +++ b/data/questions/fa/38/66698e0830a6.json @@ -0,0 +1 @@ +{"content":"crwdns6902048:0$ycrwdnd6902048:0{16}crwdne6902048:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[8,-4],[0,-9]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":0,"url":"","width":0},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/39/4b265e43d010.json b/data/questions/fa/39/4b265e43d010.json new file mode 100644 index 0000000000..a43d9fe395 --- /dev/null +++ b/data/questions/fa/39/4b265e43d010.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9d3928efc7b9e760443b5a7482c5c2a1f1c91851","width":425},"correct":{"coords":[[3,6],[3,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-12,12],[-12,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/44/956b8debe5eb.json b/data/questions/fa/44/956b8debe5eb.json new file mode 100644 index 0000000000..b22fb47008 --- /dev/null +++ b/data/questions/fa/44/956b8debe5eb.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(8,-5)$, $(3\\dfrac12,0)$, and $(-6,-4)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-4],[8,-5],[3.5,0]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/48/9fde1f7d6236.json b/data/questions/fa/48/9fde1f7d6236.json new file mode 100644 index 0000000000..9d58a35a37 --- /dev/null +++ b/data/questions/fa/48/9fde1f7d6236.json @@ -0,0 +1 @@ +{"content":"crwdns6543835:0crwdne6543835:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cf40e13479f90447d50a3af2fc8aa18aa6dd1e5b","width":400},"correct":{"coords":[[8.5,2.5],[-2,-8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/51/8b2582a44150.json b/data/questions/fa/51/8b2582a44150.json new file mode 100644 index 0000000000..20c6b6408e --- /dev/null +++ b/data/questions/fa/51/8b2582a44150.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle that is also an isosceles triangle and has two sides of length $3$.** \n\nDraw the legs of the right triangle so that they are parallel to the lines of the coordinate grid.\n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.5,0.5],[1.5,3.5],[1.5,0.5]],"match":"congruent","showSides":true,"type":"polygon"},"graph":{"showSides":true,"type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-1,6],[-1,6]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/5f/43bce7d423d7.json b/data/questions/fa/5f/43bce7d423d7.json new file mode 100644 index 0000000000..1172671abc --- /dev/null +++ b/data/questions/fa/5f/43bce7d423d7.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-2\\cdot 3^x+5$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,5],[10,5]],"coords":[[0,3],[1,-1]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/63/07ad017ab116.json b/data/questions/fa/63/07ad017ab116.json new file mode 100644 index 0000000000..cb5fbd21f8 --- /dev/null +++ b/data/questions/fa/63/07ad017ab116.json @@ -0,0 +1 @@ +{"content":"crwdns3745348:0$90$crwdne3745348:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":true},{"content":"crwdns2731610:0crwdne2731610:0","correct":false},{"content":"crwdns2731612:0crwdne2731612:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/e410939f38846aa79ce243865b687586359748ee.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":3,"coords":[[4.886040819919128,-7.590193535089071],[-4,-4],[0.48067295504822116,7.090054725497801]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":3,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/6b/58b25b5bee59.json b/data/questions/fa/6b/58b25b5bee59.json new file mode 100644 index 0000000000..d8f75623ba --- /dev/null +++ b/data/questions/fa/6b/58b25b5bee59.json @@ -0,0 +1 @@ +{"content":"**Plot the real zeros of the given polynomial on the graph below.**\n\n$\\qquad p(x)=2x^3+3x^2+x$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[-1,0],[-0.5,0],[0,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/fa/6d/342282107988.json b/data/questions/fa/6d/342282107988.json new file mode 100644 index 0000000000..476a5c3939 --- /dev/null +++ b/data/questions/fa/6d/342282107988.json @@ -0,0 +1 @@ +{"content":"Consider the following number line:\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/644f019558e05465669728576c1033e53f6aa4d5)\n\n**Drag the following cards to match each point to its value.**\n\n[[☃ matcher 1]]\n\n\n\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/0a54c523c05b0d8ce3ff1e9a6ea03756b9b3e711.png":{"height":236,"width":142},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/644f019558e05465669728576c1033e53f6aa4d5":{"height":240,"width":77}},"widgets":{"categorizer 1":{"graded":true,"options":{"categories":["$\\green{\\text{a}}$","$\\blue{\\text{b}}$","$\\pink{\\text{c}}$"],"items":["$\\dfrac18$"],"randomizeItems":false,"values":[]},"type":"categorizer","version":{"major":0,"minor":0}},"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":80,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/275f383ec7e342b439b265706b876bc3df62ed28","width":460},"correct":{"coords":null,"numPoints":4,"type":"point"},"graph":{"numPoints":4,"type":"point"},"gridStep":[0.5,0.1],"labels":["x","y"],"markings":"none","range":[[-5,5],[-1,1]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.05],"step":[1,0.5]},"type":"interactive-graph","version":{"major":0,"minor":0}},"matcher 1":{"graded":true,"options":{"labels":["□□□□□","□□□□□"],"left":["$\\pink{\\text{A}}$","$\\blue{\\text{B}}$","$\\green{\\text{C}}$"],"orderMatters":false,"padding":true,"right":["$1$","$\\dfrac56$","$-\\dfrac13$"]},"type":"matcher","version":{"major":0,"minor":0}},"number-line 1":{"graded":true,"options":{"correctRel":"eq","correctX":null,"divisionRange":[1,12],"initialX":null,"labelRange":[null,null],"labelStyle":"decimal","labelTicks":true,"numDivisions":5,"range":[0,10],"snapDivisions":2,"tickStep":null},"type":"number-line","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":["$0$",""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"dotplot"},"type":"plotter","version":{"major":0,"minor":0}},"sorter 1":{"graded":true,"options":{"correct":["$x$","$y$","$z$"],"layout":"horizontal","padding":true},"type":"sorter","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/74/cd45321a72ee.json b/data/questions/fa/74/cd45321a72ee.json new file mode 100644 index 0000000000..554634b473 --- /dev/null +++ b/data/questions/fa/74/cd45321a72ee.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $6$, $8$, and $10$.** \n\n[[☃ interactive-graph 1]] \n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[11.329896834046579,4.941176470588235],[3.329896829422368,10.941176464422599],[3.3298968340465827,4.941176464422599]],"match":"congruent","showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[0,15],[0,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/76/cefbb181e899.json b/data/questions/fa/76/cefbb181e899.json new file mode 100644 index 0000000000..c56ce1a8be --- /dev/null +++ b/data/questions/fa/76/cefbb181e899.json @@ -0,0 +1 @@ +{"content":"**8. Interactive graph**\n\nPlot the point $(6, 4)$.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[6,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/77/7f3c136dbff7.json b/data/questions/fa/77/7f3c136dbff7.json new file mode 100644 index 0000000000..5ec15afb3e --- /dev/null +++ b/data/questions/fa/77/7f3c136dbff7.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $5$ units to the left.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/177d09b2e70583c85defc71e8f4eef44ad32cd0e","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[-3,-3],[-2,0],[-6,1]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/7a/69ff39db43ab.json b/data/questions/fa/7a/69ff39db43ab.json new file mode 100644 index 0000000000..cc33087cb0 --- /dev/null +++ b/data/questions/fa/7a/69ff39db43ab.json @@ -0,0 +1 @@ +{"content":"Two ordered pairs are shown on a coordinate grid.\n\n**Plot each of these ordered pairs.** \n$\\quad\\bullet\\quad(-a,-b)$ \n$\\quad\\bullet\\quad(-a,b)$ \n$\\quad\\bullet\\quad(c,-d)$ \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/019bbe9e26c59d46ac0cd040b73c3b73ac100bf7.png","width":425},"correct":{"coords":[[-2,-3],[-2,3],[-4,-2]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/86/bc34e97230d2.json b/data/questions/fa/86/bc34e97230d2.json new file mode 100644 index 0000000000..2805c2be43 --- /dev/null +++ b/data/questions/fa/86/bc34e97230d2.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $5$ units in $t$ corresponds to an increase of $8$ units in $d$. \n\n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1.6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"0","height":0,"left":"0","scale":1,"url":null,"width":0},"correct":{"coords":[[0,0],[5,8]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/86/ee7fde68dc43.json b/data/questions/fa/86/ee7fde68dc43.json new file mode 100644 index 0000000000..8396aec0e9 --- /dev/null +++ b/data/questions/fa/86/ee7fde68dc43.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that will map line segment $\\overline{RS}$ onto the other line segment below.**\n\n\n[[☃ interactive-graph 5]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d4c52fd4910ece16f2bc687b091d10683733814","width":425},"correct":{"coords":[[-6,-6],[6,6]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c8f046cec6f323cc499126bb0d52a1d4864e5cae","width":425},"correct":{"coords":[[-5,5],[2,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/782236777816fea74794c3cd46ce4eac3dc07dba","width":425},"correct":{"coords":[[0,2],[1,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7531ad1963040531317697d01669018732542545","width":425},"correct":{"coords":[[0,1],[2,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/8a/911d72f11681.json b/data/questions/fa/8a/911d72f11681.json new file mode 100644 index 0000000000..daef8213e2 --- /dev/null +++ b/data/questions/fa/8a/911d72f11681.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $y$ and $x$ where the *unit rate* of change of $y$ with respect to $x$ is $\\,\\dfrac{3}{8}$ . In other words, a change of $1$ unit in $x$ corresponds to a change of $\\,\\dfrac{3}{8}$ units in $y$.\n\n**Graph the line and write the equation of the line.**[[☃ interactive-graph 1]]\n\nThe equation is \n[[☃ expression 1]] .","images":{},"widgets":{"expression 1":{"alignment":"default","graded":true,"options":{"answerForms":[{"considered":"correct","form":false,"key":0,"simplify":false,"value":"y=3/8x"}],"buttonSets":["basic"],"functions":["f","g","h"],"times":false},"static":false,"type":"expression","version":{"major":1,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,3],[0,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/8a/f1a084f082fb.json b/data/questions/fa/8a/f1a084f082fb.json new file mode 100644 index 0000000000..8fafff06e2 --- /dev/null +++ b/data/questions/fa/8a/f1a084f082fb.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:\n$f(x)$|$1$|$2$|$2$|$3$|$4$\n\n**Answer $2$ questions about the function.**\n\n1. **Build the mapping diagram for $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n[[☃ interactive-graph 1]]\n\n2. **Is $f$ is invertible?**\n\n[[☃ radio 2]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a86c03713a29d33e2a5f8d2abfa578594dbba2e0","width":400},"correct":{"coords":[[[-5,6],[5,4]],[[-5,3],[5,1]],[[-5,0],[5,1]],[[-5,-3],[5,-2]],[[-5,-6],[5,-5]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"$f$ is invertible","correct":false},{"content":"$f$ is not invertible","correct":true}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/fa/8b/59da9b885e71.json b/data/questions/fa/8b/59da9b885e71.json new file mode 100644 index 0000000000..992c2cfd6e --- /dev/null +++ b/data/questions/fa/8b/59da9b885e71.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{5}x^2-2x-6$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-5,-1],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/8c/44bd6c4be0b1.json b/data/questions/fa/8c/44bd6c4be0b1.json new file mode 100644 index 0000000000..31735180b8 --- /dev/null +++ b/data/questions/fa/8c/44bd6c4be0b1.json @@ -0,0 +1 @@ +{"content":"$f$ is a finite function whose domain is the letters $a$ to $e$. The following table lists the output for each input in $f$'s domain.\n\n$x$|$a$|$b$|$c$|$d$|$e$\n:-|-:|-:|-:|-:|-:\n$f(x)$|$1$|$25$|$4$|$4$|$25$\n**Build the mapping diagram of $f$ by dragging the endpoints of the segments in the graph below so that they pair each domain element with its correct range element. **\n\n**Then, determine if $f$ is invertible.**\n\n[[☃ interactive-graph 1]]\n\n\n[[☃ radio 2]]\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/92eccab0edfb33247074989283fce477c5727d8b","scale":1,"bottom":0,"left":0,"width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"segment","numSegments":5},"correct":{"type":"segment","numSegments":5,"coords":[[[-5,6],[5,4]],[[-5,3],[5,-2]],[[-5,0],[5,1]],[[-5,-3],[5,1]],[[-5,-6],[5,-2]]]}},"version":{"major":0,"minor":0}},"radio 2":{"type":"radio","alignment":"default","static":false,"graded":true,"options":{"choices":[{"correct":false,"content":"$f$ is invertible"},{"correct":true,"content":"$f$ is not invertible"}],"randomize":false,"multipleSelect":false,"countChoices":false,"displayCount":null,"hasNoneOfTheAbove":false,"deselectEnabled":false},"version":{"major":1,"minor":0}}}} diff --git a/data/questions/fa/8e/60dfb2ed54e1.json b/data/questions/fa/8e/60dfb2ed54e1.json new file mode 100644 index 0000000000..f3ef850182 --- /dev/null +++ b/data/questions/fa/8e/60dfb2ed54e1.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8cccdd97deed7f40daac297af73ab66c63135033","width":425},"correct":{"coords":[[4,-2],[1,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/8e/e58a5831485b.json b/data/questions/fa/8e/e58a5831485b.json new file mode 100644 index 0000000000..e0bd261f92 --- /dev/null +++ b/data/questions/fa/8e/e58a5831485b.json @@ -0,0 +1 @@ +{"content":"The variable $y$ depends on the variable $x$. When $x$ increases by one unit, $y$ increases by $3$ units. \nAlso, when $x=1$, $y=5$.\n\n**Draw the graph of $y$ as a function of $x$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,2],[1,5]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/90/e989c1c1074e.json b/data/questions/fa/90/e989c1c1074e.json new file mode 100644 index 0000000000..d4d12f671f --- /dev/null +++ b/data/questions/fa/90/e989c1c1074e.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=2(x +2)(x +6)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-4,-8],[-2,0]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/97/ee6ab26b4223.json b/data/questions/fa/97/ee6ab26b4223.json new file mode 100644 index 0000000000..8711d5a619 --- /dev/null +++ b/data/questions/fa/97/ee6ab26b4223.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(-1,0.5)$ and has a radius of $3.5$ units**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[-1,0.5],"radius":3.5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[0.5,0.5],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/9c/4e23d1a9ae70.json b/data/questions/fa/9c/4e23d1a9ae70.json new file mode 100644 index 0000000000..01036a343d --- /dev/null +++ b/data/questions/fa/9c/4e23d1a9ae70.json @@ -0,0 +1 @@ +{"content":"Under which of the following conditions would one expect ATP hydrolysis to be non-spontaneous?\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":null,"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"□□ □□□□□□□ □□□□□□□□□ □□ □□□□□ □□□□□□□□□□ □□□□□□","correct":false},{"content":"□ □□□□ □□□□□ □□□□□□□□□□□ (□□□□ □□□□□□□□□□□□□ □□ □□□□□□ □□□□□□□□□)","correct":false},{"content":"A temperature slightly below $37^\\circ\\text{C}$","correct":false,"isNoneOfTheAbove":false},{"content":"□□□ □□□□□□□□□□□□□□ □□□□ □□□ □□□□□ □□□□□□□□□□□ □□□□□□□□□□□□□, □□□ □□□ □□□□□□□□□□□□□□ □□□□ □□□ □□□□□ □□□□□□□□□□□ □□□□□□□□□□□□□","correct":true,"isNoneOfTheAbove":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":true},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/fa/a3/526e0d779a46.json b/data/questions/fa/a3/526e0d779a46.json new file mode 100644 index 0000000000..cb3e4f8993 --- /dev/null +++ b/data/questions/fa/a3/526e0d779a46.json @@ -0,0 +1 @@ +{"content":"An office building has the shape of a right rectangular prism with width $20$ meters, length $40$ meters, and height $60$ meters.\n\n![sky scraper](https://ka-perseus-graphie.s3.amazonaws.com/f388ad536b6ffce43eeefc376654ab275c1a3d4b.png)\n\n**Drag the corners of the square below to draw the shape of one floor of the building.**\n\n[[☃ interactive-graph 1]] ","images":{"https://ka-perseus-graphie.s3.amazonaws.com/f388ad536b6ffce43eeefc376654ab275c1a3d4b.png":{"height":350,"width":400}},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[55,30],[55,50],[15,50],[15,30]],"match":"congruent","numSides":4,"showSides":true,"type":"polygon"},"graph":{"numSides":4,"showSides":true,"type":"polygon"},"gridStep":[5,5],"labels":["□","□"],"markings":"grid","range":[[0,60],[0,60]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[5,5]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/b1/d7054988e59b.json b/data/questions/fa/b1/d7054988e59b.json new file mode 100644 index 0000000000..657cbee73d --- /dev/null +++ b/data/questions/fa/b1/d7054988e59b.json @@ -0,0 +1 @@ +{"content":"crwdns3144077:0{RS}crwdne3144077:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c7d75f8a6f4468bfd0cc5783496517c28bfa43df","width":400},"correct":{"coords":[[-5,1],[5,1]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 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5":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7531ad1963040531317697d01669018732542545","width":425},"correct":{"coords":[[0,1],[2,0]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/ba/bd23299b2b04.json b/data/questions/fa/ba/bd23299b2b04.json new file mode 100644 index 0000000000..255fd198da --- /dev/null +++ b/data/questions/fa/ba/bd23299b2b04.json @@ -0,0 +1 @@ +{"content":"crwdns3354910:0$m$crwdnd3354910:0$z_1$crwdnd3354910:0$z_2$crwdne3354910:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ead63551f666b766cdd889427cd7d9458a9b0148","width":430},"correct":{"coords":[[-0.5,0.5]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/bf/3b6f1802bc82.json b/data/questions/fa/bf/3b6f1802bc82.json new file mode 100644 index 0000000000..ade934b4c1 --- /dev/null +++ b/data/questions/fa/bf/3b6f1802bc82.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-\\dfrac{3}{8}(x+3)^2+6$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":[],"coords":[[-3,6],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-7}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/cf/14b1df916717.json b/data/questions/fa/cf/14b1df916717.json new file mode 100644 index 0000000000..73ec2586ec --- /dev/null +++ b/data/questions/fa/cf/14b1df916717.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-\\dfrac{1}{5}x^2+2x-1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,4],[0,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/d1/7e1ec4342996.json b/data/questions/fa/d1/7e1ec4342996.json new file mode 100644 index 0000000000..5366eb3eb8 --- /dev/null +++ b/data/questions/fa/d1/7e1ec4342996.json @@ -0,0 +1 @@ +{"content":"The following tape diagram describes the relationship between the amount of red paint and the amount of blue paint in a \"Plummy Purple\" paint mix. \n \n![](https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png)\n\n\n**Fill in the table with the missing values.** \n \nRed paint cans | Blue paint cans\n:-: | :-:\n$4$ | [[☃ input-number 1]]\n[[☃ input-number 2]] | $6$ \n \n**Now graph the points listed in the table.** \n \n[[☃ interactive-graph 1]]\n\n**Is the relationship between the amount of red paint and the amount of blue paint in a Plummy Purple paint mix proportional?** \n\n\n[[☃ radio 1]]","images":{"https://ka-perseus-graphie.s3.amazonaws.com/9c80453fdb95178390e433030bd4e96f0ac5ae4a.png":{"height":160,"width":408}},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":8},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":"0","height":451,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/2dd935e55b1b523fd430b684d523a41b86230b8d.png","width":451},"correct":{"coords":[[80,60],[40,30]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-10,110],[-10,110]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2.5,2.5],"step":[20,20]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"**Yes**. The relationship is proportional.","correct":true},{"content":"**No**. The relationship is not proportional.","correct":false}],"displayCount":null,"multipleSelect":false,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/d3/f55fd2c6aa0b.json b/data/questions/fa/d3/f55fd2c6aa0b.json new file mode 100644 index 0000000000..44281692a4 --- /dev/null +++ b/data/questions/fa/d3/f55fd2c6aa0b.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ea69c8407c11e1ef28a1f20162cb275ec69ac2ea","width":425},"correct":{"coords":[[7,-3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/e3/dac39aec5901.json b/data/questions/fa/e3/dac39aec5901.json new file mode 100644 index 0000000000..3710fbb5a0 --- /dev/null +++ b/data/questions/fa/e3/dac39aec5901.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot 2^{x-4}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[4,-3],[5,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/ea/4aadfcdc33c2.json b/data/questions/fa/ea/4aadfcdc33c2.json new file mode 100644 index 0000000000..0aaf73d72e --- /dev/null +++ b/data/questions/fa/ea/4aadfcdc33c2.json @@ -0,0 +1 @@ +{"content":"The graphs of $y=f(x)$ and $y=g(x)$ are shown below. \n\n**Indicate all points that represent the solution of $f(x)=4$ by placing points in those locations. **\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e6fd2de822de80bce3957ce87c407a6387e32284","width":400},"correct":{"coords":[[5,4],[1,4]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fa/f2/b45bc1fcc8f3.json b/data/questions/fa/f2/b45bc1fcc8f3.json new file mode 100644 index 0000000000..b32d1b24cb --- /dev/null +++ b/data/questions/fa/f2/b45bc1fcc8f3.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $5$ units right and $2$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/33572fae59cd6186b456b47a413e9f5ce79edf33","width":425},"correct":{"coords":[[7,3],[7,-3],[2,-6]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/18/b6c231453ccc.json b/data/questions/fb/18/b6c231453ccc.json new file mode 100644 index 0000000000..a7f6d3b0a9 --- /dev/null +++ b/data/questions/fb/18/b6c231453ccc.json @@ -0,0 +1 @@ +{"content":"crwdns5947761:0crwdne5947761:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[6,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/27/2ed1cb1457de.json b/data/questions/fb/27/2ed1cb1457de.json new file mode 100644 index 0000000000..6cfa61f7ac --- /dev/null +++ b/data/questions/fb/27/2ed1cb1457de.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $4$ units to the left and $7$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/ab8a3cf459c7e79ce6d235c433f6cac12e4694c2","width":425},"correct":{"coords":[[-3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/30/a0416d488344.json b/data/questions/fb/30/a0416d488344.json new file mode 100644 index 0000000000..65e8172c88 --- /dev/null +++ b/data/questions/fb/30/a0416d488344.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(4,6)$, and which has the point $(2,6)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[4,6],"radius":2,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/56/0bc708b22998.json b/data/questions/fb/56/0bc708b22998.json new file mode 100644 index 0000000000..bd19b36f29 --- /dev/null +++ b/data/questions/fb/56/0bc708b22998.json @@ -0,0 +1 @@ +{"content":"Ruben measured how many minutes he meditated each night and the number of hours he slept.\n \n**Plot the data in a scatter plot.**\n \n| | | | | | | \n:--|--:|--:|--:|--:|--:|--:|--:|--:|--:|--:\n**Meditation (minutes)** | $4$ | $8$ | $10$ | $4$ | $18$ | $4$\n**Sleep (hours)** | $4.5$ | $9.5$ | $8.5$ | $6$ | $10$ | $7$\n\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4,4.5],[8,9.5],[10,8.5],[4,6],[4,7],[18,10]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[2,1],"labels":["$\\text{Meditation}$","$\\text{Sleep}$"],"markings":"graph","range":[[-2,25],[-1,11]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.5],"step":[2,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/5c/4c766ad12c46.json b/data/questions/fb/5c/4c766ad12c46.json new file mode 100644 index 0000000000..448035f98e --- /dev/null +++ b/data/questions/fb/5c/4c766ad12c46.json @@ -0,0 +1 @@ +{"content":"crwdns2988140:0crwdne2988140:0","images":{"https://ka-perseus-images.s3.amazonaws.com/1f96a53ec7c930afff82f468b6a0b0bbcc57f708.png":{"height":388,"width":356},"https://ka-perseus-images.s3.amazonaws.com/a5af5a0c454c8d80a346aaa6a2624a2528106fdc.png":{"height":174,"width":161}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-2.108833453325563,-1.1297264074880706],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/5e/498df6102205.json b/data/questions/fb/5e/498df6102205.json new file mode 100644 index 0000000000..6703385adc --- /dev/null +++ b/data/questions/fb/5e/498df6102205.json @@ -0,0 +1 @@ +{"content":"**Drag the vertices of the triangle below to draw a right triangle with side lengths $10$, $24$, and $26.$**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[4.209493269066344,-1.319053443751842],[-6.900855032808261,22.18754479187196],[-5.779587214272669,-1.786248368141674]],"match":"similar","showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"graph":{"showAngles":false,"showSides":true,"snapTo":"sides","type":"polygon"},"gridStep":[5,5],"labels":["x","y"],"markings":"none","range":[[-24,24],[-24,24]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[2.5,2.5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/61/208536792efd.json b/data/questions/fb/61/208536792efd.json new file mode 100644 index 0000000000..4b03df455d --- /dev/null +++ b/data/questions/fb/61/208536792efd.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under a translation by $3$ units to the right and $1$ unit up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a6bb1589ed9de043b76b31b2b416ca63c735e662","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":"unlimited"},"correct":{"type":"point","numPoints":"unlimited","coords":[[1,5]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/61/3a6376285be5.json b/data/questions/fb/61/3a6376285be5.json new file mode 100644 index 0000000000..7074106f0e --- /dev/null +++ b/data/questions/fb/61/3a6376285be5.json @@ -0,0 +1 @@ +{"content":"crwdns3354910:0$m$crwdnd3354910:0$z_1$crwdnd3354910:0$z_2$crwdne3354910:0","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/57c81c601137fc6249564c734e4666fc022efd0e":{"height":430,"width":430}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b538cff00325e87e4aa6fef2f9fbe4f59b7eee8a","width":430},"correct":{"coords":[[-2,4]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/61/c1c3a53d4d39.json b/data/questions/fb/61/c1c3a53d4d39.json new file mode 100644 index 0000000000..3c669f116d --- /dev/null +++ b/data/questions/fb/61/c1c3a53d4d39.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $x^2+y^2 +16x -16y +124=0$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"circle"},"correct":{"type":"circle","center":[-8,8],"radius":2}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/62/684e5ab337b7.json b/data/questions/fb/62/684e5ab337b7.json new file mode 100644 index 0000000000..4364fb9ebc --- /dev/null +++ b/data/questions/fb/62/684e5ab337b7.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $10$ square units.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[1,-2],[1,3],[-1,3],[-1,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/66/fd5785749980.json b/data/questions/fb/66/fd5785749980.json new file mode 100644 index 0000000000..86d434e769 --- /dev/null +++ b/data/questions/fb/66/fd5785749980.json @@ -0,0 +1 @@ +{"content":"**Drag the dots to plot $(0,6.5)$, $(-5,-5)$, and $(1,9)$.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-5,-5],[0,6.5],[1,9]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/67/99004c827a85.json b/data/questions/fb/67/99004c827a85.json new file mode 100644 index 0000000000..c434cb1a8b --- /dev/null +++ b/data/questions/fb/67/99004c827a85.json @@ -0,0 +1 @@ +{"content":"Move one endpoint of this line segment as far up and to the right as it will go, and the other as far down and to the left as it will go.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"segment"},"correct":{"type":"segment","coords":[[[-9,-9],[9,9]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/67/c6eebb76bffa.json b/data/questions/fb/67/c6eebb76bffa.json new file mode 100644 index 0000000000..c88e4d24f5 --- /dev/null +++ b/data/questions/fb/67/c6eebb76bffa.json @@ -0,0 +1 @@ +{"content":"**Construct a $135^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/7611383fc5b1e00cf8203424ace9721fd3e123f4.png":{"height":227,"width":401},"https://ka-perseus-images.s3.amazonaws.com/7f12d9ea864c176f2f5dcf0548f5192e86c79e67.png":{"height":193,"width":400}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.888438648072231,-2.1115613519277696],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/68/a31d847356f4.json b/data/questions/fb/68/a31d847356f4.json new file mode 100644 index 0000000000..f9ad3a1761 --- /dev/null +++ b/data/questions/fb/68/a31d847356f4.json @@ -0,0 +1 @@ +{"content":"Tara takes her pulse in order to determine her resting heart rate, measured in beats per minute $(\\text{bpm})$. She takes it for three minutes, and makes the following chart of the results. We'll assume that Tara's heart rate is constant over the three-minute period.\n\n\n||||\n-:|-:|-:|-:\nMinutes|$1$|$2$|$3$\nBeats|$60$|$120$|$180$\n\n**Graph the proportional relationship described above, where the $x$-coordinate represents minutes, and the $y$-coordinate represents beats.**\n\n\n\n\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[1,60]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,5],"labels":["x","y"],"markings":"graph","range":[[-1,11],[-10,100]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,2.5],"step":[1,10]},"type":"interactive-graph"}}} diff --git a/data/questions/fb/6e/f305a2ab307a.json b/data/questions/fb/6e/f305a2ab307a.json new file mode 100644 index 0000000000..fe97409c62 --- /dev/null +++ b/data/questions/fb/6e/f305a2ab307a.json @@ -0,0 +1 @@ +{"content":"In Hayley's favorite video game, she completes $3$ challenges every $2$ minutes. On the graph below, the $x$-axis represents time (in minutes) and the $y$-axis represents challenges completed.\n\n**Plot points to show how many challenges Hayley has completed after playing for $2$, $4$, and $6$ minutes**. \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[4,6],[6,9],[2,3]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/77/23c9ae78cb60.json b/data/questions/fb/77/23c9ae78cb60.json new file mode 100644 index 0000000000..2457bbd7b9 --- /dev/null +++ b/data/questions/fb/77/23c9ae78cb60.json @@ -0,0 +1 @@ +{"content":"$\\triangle{NOW}$ is rotated $90^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b448d794b2abfc5f18e1e8f037f0c246bc166f71","width":425},"correct":{"coords":[[3,-7],[-1,-2],[-4,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/78/2a09b7af0920.json b/data/questions/fb/78/2a09b7af0920.json new file mode 100644 index 0000000000..6d72d749cf --- /dev/null +++ b/data/questions/fb/78/2a09b7af0920.json @@ -0,0 +1 @@ +{"content":"**Plot $z_1+z_2$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d4dff26cffc1c0a1b8791045be39caf17b649328","width":430},"correct":{"coords":[[3,6]],"type":"point"},"graph":{"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/87/c551cbc6a80a.json b/data/questions/fb/87/c551cbc6a80a.json new file mode 100644 index 0000000000..ab5ddd7dab --- /dev/null +++ b/data/questions/fb/87/c551cbc6a80a.json @@ -0,0 +1 @@ +{"content":"Any pair of points can be connected by a line.\n\n**Connect the pair of black points that makes a line perpendicular to the dashed line segment.**\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f72f9bdc4e3cca3cf8b3cd3d6f699602b409c517","width":400},"correct":{"coords":[[-6,7],[-6,-5]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/b7/6a7af83b8db0.json b/data/questions/fb/b7/6a7af83b8db0.json new file mode 100644 index 0000000000..d6106d03e0 --- /dev/null +++ b/data/questions/fb/b7/6a7af83b8db0.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw a right triangle with right angle at $(8,6)$, and hypotenuse extending from $(0,14)$ to $(-10,-12)$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,14],[8,6],[-10,-12]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/c4/decc64a2ccbb.json b/data/questions/fb/c4/decc64a2ccbb.json new file mode 100644 index 0000000000..4ca35bd986 --- /dev/null +++ b/data/questions/fb/c4/decc64a2ccbb.json @@ -0,0 +1 @@ +{"content":"**What is the area of the blue rectangle at the top of the grid?** \n\n[[☃ numeric-input 1]] square units\n\n**Move the corners of the other figure to make a rectangle with the *same area* but with no side lengths the same as those of the given rectangle.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c0ef3aa1318514419095f71c788ceeca64d66272","width":400},"correct":{"coords":[[0,-2],[0,1],[-3,1],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":9}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/d0/b12502335a15.json b/data/questions/fb/d0/b12502335a15.json new file mode 100644 index 0000000000..42a7e4a6b6 --- /dev/null +++ b/data/questions/fb/d0/b12502335a15.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a dilation whose center is $A$ and scale factor is $4$.**\n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6b03f1d1befcee0e0d3c18b5b613dc05957f8db9","width":400},"correct":{"coords":[[-6,-2],[6,-2],[-6,6]],"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"showAngles":false,"showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/d1/4a1a98ef02b2.json b/data/questions/fb/d1/4a1a98ef02b2.json new file mode 100644 index 0000000000..a481df099a --- /dev/null +++ b/data/questions/fb/d1/4a1a98ef02b2.json @@ -0,0 +1 @@ +{"content":"**Draw a line of symmetry through the pentagon by connecting two black points.**\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/f4a110969b2e6e1772058f9916fe08741fb2d54b.png","width":400},"correct":{"coords":[[3,4],[6,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["□","□"],"markings":"none","range":[[-1,9],[-3,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/e5/e9d3338bb213.json b/data/questions/fb/e5/e9d3338bb213.json new file mode 100644 index 0000000000..1d0a50baed --- /dev/null +++ b/data/questions/fb/e5/e9d3338bb213.json @@ -0,0 +1 @@ +{"content":"**Construct a $180^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/8ba9a1c7fe79fdc1624d2769481c3ff6ad505501.png":{"height":79,"width":403}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[9.41188234861566,-9.000000000000002],[0,-9],[-7.530523827277034,-8.999999999999998]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/ee/0ff020997e81.json b/data/questions/fb/ee/0ff020997e81.json new file mode 100644 index 0000000000..a14d8baf14 --- /dev/null +++ b/data/questions/fb/ee/0ff020997e81.json @@ -0,0 +1 @@ +{"content":"crwdns3897493:0crwdne3897493:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/581838072681175938899ea0d1aec8a58f6a24b2","width":425},"correct":{"coords":[[0,-6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/ef/187aa117ad60.json b/data/questions/fb/ef/187aa117ad60.json new file mode 100644 index 0000000000..d60499e8de --- /dev/null +++ b/data/questions/fb/ef/187aa117ad60.json @@ -0,0 +1 @@ +{"content":"\n[[☃ image 1]]\n\n**This passage is adapted from Martin Luther King, Jr.’s “Beyond Vietnam” speech. As the [[☃ definition 1]] escalated in 1967, King—America’s leading civil rights activist—delivered a speech about America’s involvement in the war.** \n\nAnd some of us who have already begun to break the silence of the night have found that the calling to speak is often a [[☃ definition 2]] of agony, but we must speak. We must speak with all the humility that is appropriate to our limited vision, but we must speak. And we must rejoice as well, for surely this is the first time in our nation's history that a significant number of its religious leaders have chosen to move beyond smooth patriotism to the high grounds of a firm _dissent_ based upon the [[☃ definition 3]] of conscience and the reading of history. Perhaps a new spirit is rising among us. \n\n\n[[☃ explanation 2]]\n\n**As used in the passage, *dissent* most nearly means \\_\\_\\_\\.**\n\n[[☃ radio 1]]\n\n[[☃ explanation 1]]\n\n","images":{"https://cdn.kastatic.org/ka-content-images/54d4218cb7684f5fe28fedf6daae89b134b85513.png":{"width":1276,"height":876}},"widgets":{"interactive-graph 1":{"options":{"labels":["x","y"],"range":[[-10,10],[-10,10]],"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","showTooltips":false,"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"graph":{"type":"linear"},"valid":true,"correct":{"type":"linear","coords":null}},"type":"interactive-graph","version":{"major":0,"minor":0}},"image 1":{"options":{"title":"","range":[[0,10],[0,10]],"box":[1276,876],"backgroundImage":{"url":"https://cdn.kastatic.org/ka-content-images/54d4218cb7684f5fe28fedf6daae89b134b85513.png","width":1276,"height":876},"labels":[],"alt":"Martin Luther King, Jr. speaks against the Vietnam War in 1967","caption":"\nMartin Luther King, Jr. speaks against the Vietnam War in 1967","static":false},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false},"radio 1":{"options":{"choices":[{"correct":false,"content":"acceptance\n","clue":"This isn’t the meaning of *dissent*. The speech focuses on the need to speak out against the Vietnam War. In this sentence, King praises religious leaders for being willing to express “a firm dissent.” If *dissent* meant “acceptance,” King would be praising leaders for supporting the war, which is the opposite of his meaning. \n"},{"correct":true,"content":"opposition\n","clue":"**This is the best choice.** The speech focuses on the need to speak out against the Vietnam War. King praises religious leaders who have “moved beyond smooth patriotism” and are willing to express “a firm dissent.” That is, he is praising leaders who express strong opposition to the war. *Opposition* is the best synonym of *dissent* in the context of the speech. \n"},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” *Scarcity* means “a lack of something.” It wouldn’t make sense for King to praise people who express “a firm lack of something.”\n","content":"scarcity\n","correct":false},{"clue":"This isn’t the meaning of *dissent*. In this sentence, King is praising religious leaders who are willing to speak out against the Vietnam War and express “a firm dissent.” It wouldn’t make sense for King to praise people who express “a firm gratitude” for the war because King is opposed to the war.\n","content":"gratitude","correct":false}],"displayCount":null,"randomize":false,"hasNoneOfTheAbove":false,"multipleSelect":false,"countChoices":false,"deselectEnabled":false},"type":"radio","version":{"major":1,"minor":0},"graded":true,"alignment":"default","static":false},"explanation 1":{"options":{"showPrompt":"Attribution","hidePrompt":"Hide attribution","explanation":"Text source: Text is excerpted from “Beyond Vietnam: A Time to Break the Silence” (1963)by Martin Luther King, © Estate of Martin Luther King, Jr.\n\nPublic domain image provided by the Minnesota Historical Society ","widgets":{},"static":false},"type":"explanation","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"explanation 2":{"options":{"showPrompt":"Reading tip!","hidePrompt":"Ok—got it!","explanation":"Historical passages often include language that is unfamiliar, figurative, or formal. Try to use context clues to connect unfamiliar words with words that you *do* know.","widgets":{},"static":false},"type":"explanation","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"definition 1":{"options":{"togglePrompt":"Vietnam War","definition":"The Vietnam War (1961–1975) was originally a war between North and South Vietnam, though allies of both nations quickly got involved. The U.S. entered the war in 1965 on behalf of South Vietnam.\n","static":false},"type":"definition","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"definition 2":{"options":{"togglePrompt":"vocation","definition":"vo·ca·tion (voh-KAY-shun): a job or career that someone feels strongly called to do\n","static":false},"type":"definition","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false},"definition 3":{"options":{"togglePrompt":"mandates","definition":"man·dates (man-DATES): orders or commands\n","static":false},"type":"definition","version":{"major":0,"minor":0},"graded":true,"alignment":"default","static":false}}} diff --git a/data/questions/fb/fb/ef7585dcc547.json b/data/questions/fb/fb/ef7585dcc547.json new file mode 100644 index 0000000000..d6f41d941b --- /dev/null +++ b/data/questions/fb/fb/ef7585dcc547.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $8$, Rule: add $4$\n\nPattern $y$: Starting number: $4$, Rule: add $2$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$8$ | $4$\n [[☃ numeric-input 5]]| [[☃ numeric-input 6]]\n [[☃ numeric-input 7]] | [[☃ numeric-input 8]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,4],[12,6],[16,8]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 5":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 6":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 7":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":16}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 8":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":8}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fb/fe/bfcae9e72fb9.json b/data/questions/fb/fe/bfcae9e72fb9.json new file mode 100644 index 0000000000..52bf25beab --- /dev/null +++ b/data/questions/fb/fe/bfcae9e72fb9.json @@ -0,0 +1 @@ +{"content":"**Point $M$ is located at $(-6, 6)$.** \n$$ \n\n\n\n[[☃ image 1]]\n\n**What is located $5$ units from point $M?$** \n\n[[☃ radio 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9837fe65e4d705c96c0055fa9368d31ceec749f":{"width":425,"height":425}},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"Point $A$","correct":false},{"content":"Point $B$","correct":true},{"content":"Point $C$","correct":false},{"content":"$x$-axis","correct":false},{"content":"$y$-axis","correct":false}],"randomize":false,"multipleSelect":false,"displayCount":null,"noneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":0,"minor":0}},"interaction 1":{"type":"interaction","graded":true,"options":{"graph":{"box":[400,400],"labels":["x","y"],"range":[[-10,10],[-10,10]],"tickStep":[1,1],"gridStep":[1,1],"markings":"graph"},"elements":[{"type":"point","key":"point-58be31","options":{"coordX":"-3","coordY":"2","color":"#6495ED"}},{"type":"point","key":"point-76fcfd","options":{"coordX":"8","coordY":"-8","color":"#6495ED"}},{"type":"point","key":"point-123abf","options":{"coordX":"9","coordY":"8","color":"#6495ED"}},{"type":"label","key":"label-1f27d2","options":{"coordX":"-3.5","coordY":"2.5","color":"black","label":"A"}},{"type":"label","key":"label-a3dc10","options":{"coordX":"2.5","coordY":"7.5","color":"black","label":"B"}},{"type":"label","key":"label-230bbe","options":{"coordX":"8.5","coordY":"-5.5","color":"black","label":"C"}}]},"version":{"major":0,"minor":0}},"numeric-input 1":{"type":"numeric-input","graded":true,"options":{"answers":[{"value":13,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null},{"value":-13,"status":"wrong","message":"Remember that distance should always be positive.","simplify":"required","strict":false,"maxError":null}],"size":"small","coefficient":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":2},"correct":{"type":"point","numPoints":2,"coords":[[-3,-4],[-3,9]]}},"version":{"major":0,"minor":0}},"image 1":{"options":{"static":false,"title":"","range":[[0,10],[0,10]],"box":[425,425],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f9837fe65e4d705c96c0055fa9368d31ceec749f","width":425,"height":425},"labels":[],"alt":"A coordinate grid is labeled from negative 10 to 10 from the origin in both the x and y axis. A solid point labeled A is 1 unit to the right of and 6 units up from the origin. A solid point, labeled B, is 6 units to the left of and 1 unit up from the origin. A solid point labeled C is 1 unit to the left of and 6 units down from the origin.","caption":""},"type":"image","version":{"major":0,"minor":0},"graded":true,"alignment":"block","static":false}}} diff --git a/data/questions/fc/0c/861ff41c22e4.json b/data/questions/fc/0c/861ff41c22e4.json new file mode 100644 index 0000000000..58fcafc56f --- /dev/null +++ b/data/questions/fc/0c/861ff41c22e4.json @@ -0,0 +1 @@ +{"content":"**Move the line on the first graph so it is in the same position as the line on the second graph. Make sure the line crosses over the label.**\n\n[[☃ interactive-graph 1]]\n\n[[☃ interactive-graph 2]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"label","coord":[2,-4],"text":"Label","color":"green","size":"medium"}],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-6,0],[0,-3]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}},"interactive-graph 2":{"type":"interactive-graph","alignment":"default","static":true,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showTooltips":false,"range":[[-10,10],[-10,10]],"lockedFigures":[{"type":"label","coord":[2,-4],"text":"Label","color":"green","size":"medium"}],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-6,0],[0,-3]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/1e/18956ff795d4.json b/data/questions/fc/1e/18956ff795d4.json new file mode 100644 index 0000000000..77f25d8fe8 --- /dev/null +++ b/data/questions/fc/1e/18956ff795d4.json @@ -0,0 +1 @@ +{"content":"**Graph a line with a slope of $-3$ that contains the point $(4, -2)$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[5,-5],[4,-2]],"type":"linear"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/20/8eab47d30927.json b/data/questions/fc/20/8eab47d30927.json new file mode 100644 index 0000000000..6464b4c5f1 --- /dev/null +++ b/data/questions/fc/20/8eab47d30927.json @@ -0,0 +1 @@ +{"content":"Mia kicked a football. The function $f$ models the height of the ball above the ground (in meters) as a function of time (in seconds) after Mia kicked it.\n\n**Plot the point on the graph of $f$ that corresponds to when the ball hit the ground.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/824e3ae76682db1d491aafe9fc34a65caf4c2b8a","width":400},"correct":{"coords":[[4,0]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,2],"labels":["□","□"],"markings":"none","range":[[-0.5,5],[-2,23]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/24/ec2e1fd3db01.json b/data/questions/fc/24/ec2e1fd3db01.json new file mode 100644 index 0000000000..c180df1707 --- /dev/null +++ b/data/questions/fc/24/ec2e1fd3db01.json @@ -0,0 +1 @@ +{"content":"**Which graph shows a quadratic function with a domain of all real values of $x$?**\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"grapher 1":{"options":{"availableTypes":["linear"],"correct":{"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showTooltips":false,"step":[1,1],"valid":true}},"type":"grapher","version":{"major":0,"minor":0}},"image 1":{"alignment":"block","graded":true,"options":{"alt":"","backgroundImage":{"height":265,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7b093b6311e43ab359b5cb3aa7342d7ccfe237b5","width":265},"box":[265,265],"caption":"","labels":[],"range":[[0,10],[0,10]],"static":false,"title":""},"static":false,"type":"image","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"![A quadratic function is graphed. The x and g of x axes go from negative 10 to 10. The parabola has arrows at the edge of the graph on either end.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/621ded89e5a01b6d88b856ac5d73821e16df4830)","correct":true},{"content":"![A quadratic function is graphed. The x and g of x axes go from negative 10 to 10. The parabola has an arrow at the right edge of the graph. There is a filled circle at the other edge of the graph at the point (negative 8, 9 point 5).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/c756389c7d4f26ae620ea2a956edddbdfdc24cbf)","correct":false},{"content":"![A quadratic function is graphed. The x and g of x axes go from negative 10 to 10. The parabola has an arrow at the left edge of the graph. There is a filled circle at the other edge of the graph at the point (10, 2 point 5).](web+graphie://ka-perseus-graphie.s3.amazonaws.com/30dd54cb05760c24855ec07a63e3e55e777d9329)","correct":false,"isNoneOfTheAbove":false},{"content":"![A quadratic function is graphed. The x and g of x axes go from negative 10 to 10. There is a filled circle at the point (negative 8, 9 point 5). There is a filled circle at the point (10, 2 point 5). The parabola segment connects these two points.](web+graphie://ka-perseus-graphie.s3.amazonaws.com/41b6025de05dd755289b7c3a78462e31e4938e0c)","correct":false,"isNoneOfTheAbove":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"randomize":true},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/fc/3e/129187873d6a.json b/data/questions/fc/3e/129187873d6a.json new file mode 100644 index 0000000000..708e4be9ba --- /dev/null +++ b/data/questions/fc/3e/129187873d6a.json @@ -0,0 +1 @@ +{"content":"**Graph a line that contains the point $(6,-5)$ and has a slope of $-\\dfrac{2}{3}$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"linear","coords":[[3,-3],[6,-5]]},"availableTypes":["linear"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-8,8],[-8,8]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":true,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/4f/5e43eb2c059a.json b/data/questions/fc/4f/5e43eb2c059a.json new file mode 100644 index 0000000000..e994849a35 --- /dev/null +++ b/data/questions/fc/4f/5e43eb2c059a.json @@ -0,0 +1 @@ +{"content":"**The quadrilateral shown in the graph is transformed by matrix $R$. Plot the resulting quadrilateral.** \n\n$R=\\left[\\begin{array} {ccc}\n3 & 0 \\\\\n0 & 3 \\end{array} \\right]$\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4f27b4eb054b0235d3c8fe1b7d612e7265f7c419","width":425},"correct":{"coords":[[9,3],[6,9],[-9,9],[-6,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/55/f9d833d8b2c9.json b/data/questions/fc/55/f9d833d8b2c9.json new file mode 100644 index 0000000000..81e73d7857 --- /dev/null +++ b/data/questions/fc/55/f9d833d8b2c9.json @@ -0,0 +1 @@ +{"content":"crwdns4075264:0$hcrwdnd4075264:0{3}crwdnd4075264:0{4}crwdne4075264:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["exponential"],"correct":{"asymptote":[[-5,0],[5,0]],"coords":[[0,8],[1,6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/62/60244520464a.json b/data/questions/fc/62/60244520464a.json new file mode 100644 index 0000000000..1d10b33980 --- /dev/null +++ b/data/questions/fc/62/60244520464a.json @@ -0,0 +1 @@ +{"content":"crwdns3074210:0{B}crwdnd3074210:0{A}crwdne3074210:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671929:0crwdne2671929:0","correct":false},{"content":"crwdns2671924:0crwdne2671924:0","correct":true},{"content":"crwdns2671927:0crwdne2671927:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"dropdown 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2671928:0crwdne2671928:0","correct":false},{"content":"crwdns2671923:0crwdne2671923:0","correct":true},{"content":"crwdns2671926:0crwdne2671926:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":"1","url":"https://ka-perseus-graphie.s3.amazonaws.com/bbbed802d54acef1aa8ef586490e7d506033aeef.png","width":400},"correct":{"coords":[[-6,-3],[5,7]],"type":"ray"},"graph":{"type":"ray"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/64/f9727500d8e2.json b/data/questions/fc/64/f9727500d8e2.json new file mode 100644 index 0000000000..6f36791da4 --- /dev/null +++ b/data/questions/fc/64/f9727500d8e2.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Add $5$ to $x$ to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$2$ | [[☃ numeric-input 1]]\n$3$ | [[☃ numeric-input 2]]\n$4$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 2]]\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":8,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 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0000000000..09c8c9d989 --- /dev/null +++ b/data/questions/fc/6b/cc11c7ee71af.json @@ -0,0 +1 @@ +{"content":"crwdns3745349:0crwdne3745349:0","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns2702409:0crwdne2702409:0","correct":false},{"content":"crwdns2731610:0crwdne2731610:0","correct":true},{"content":"crwdns2731612:0crwdne2731612:0","correct":false}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/79255c0c41e9075fd339f5e51c4d56d50d29370a.png","width":400},"correct":{"allowReflexAngles":false,"coords":[[-4.470792481197705,8.470792481197705],[4,0],[3.9999999999999987,-6.120191778436709]],"snapDegrees":5,"type":"angle"},"graph":{"allowReflexAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/6e/97f2e2b46390.json b/data/questions/fc/6e/97f2e2b46390.json new file mode 100644 index 0000000000..3026da67d0 --- /dev/null +++ b/data/questions/fc/6e/97f2e2b46390.json @@ -0,0 +1 @@ +{"content":"A table is made using the following two patterns.\n\nPattern $x$: Starting number: $1$, Rule: add $1$\n\nPattern $y$: Starting number: $6$, Rule: add $6$\n\n**Complete the table for the given patterns.** \n \n$x$ | $y$ \n:-: | :-: \n$1$ | $6$\n [[☃ numeric-input 1]]| [[☃ numeric-input 2]]\n [[☃ numeric-input 3]] | [[☃ numeric-input 4]]\n\n**Plot the ordered pairs $(x,y)$ from the table on the following graph.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[1,6],[2,12],[3,18]],"numPoints":3,"type":"point"},"graph":{"numPoints":3,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-2,20],[-2,20]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":2}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 3":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":3}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 4":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":18}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/7a/7407f98ea3c9.json b/data/questions/fc/7a/7407f98ea3c9.json new file mode 100644 index 0000000000..256d891784 --- /dev/null +++ b/data/questions/fc/7a/7407f98ea3c9.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $1$ unit to the right and $6$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/e3572231fd47fa72e19c40b9ddc48a33ab6d9e63","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[2,2],[2,4],[-4,7],[-6,4]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/85/e9a6853d1bcc.json b/data/questions/fc/85/e9a6853d1bcc.json new file mode 100644 index 0000000000..2a853e47cf --- /dev/null +++ b/data/questions/fc/85/e9a6853d1bcc.json @@ -0,0 +1 @@ +{"content":"crwdns3462881:0$ycrwdne3462881:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,-4],[0,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/8c/b1344cd1ccd4.json b/data/questions/fc/8c/b1344cd1ccd4.json new file mode 100644 index 0000000000..b756b12e0b --- /dev/null +++ b/data/questions/fc/8c/b1344cd1ccd4.json @@ -0,0 +1 @@ +{"content":"crwdns3897372:0crwdne3897372:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/9d/be3ea58655dd.json b/data/questions/fc/9d/be3ea58655dd.json new file mode 100644 index 0000000000..bca54145e5 --- /dev/null +++ b/data/questions/fc/9d/be3ea58655dd.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-4)^2+(y+3)^2=16$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[4,-3],"radius":4,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/a1/0aabf8e67ac8.json b/data/questions/fc/a1/0aabf8e67ac8.json new file mode 100644 index 0000000000..40654b23aa --- /dev/null +++ b/data/questions/fc/a1/0aabf8e67ac8.json @@ -0,0 +1 @@ +{"content":"[Q4] Consider the following trigonometric function:\n\n$\\qquad h(x)=0.5\\sin(0.25x+0.75\\pi)-5$\n\n**Graph $h(x)$ in the interactive widget.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/ba6cf7327a7aaed2386ca00d48b6d554a357ac57.png","width":425},"correct":{"coords":[[-6,-5],[-2,-4.5]],"type":"sinusoid"},"graph":{"type":"sinusoid"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/bf/702915d10962.json b/data/questions/fc/bf/702915d10962.json new file mode 100644 index 0000000000..b60a9b0a69 --- /dev/null +++ b/data/questions/fc/bf/702915d10962.json @@ -0,0 +1 @@ +{"content":"**Draw the line of reflection that reflects $\\triangle ABC$ onto $\\triangle A'B'C'$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/65fccf9af40cdce311f69092bef8156d14383ce5","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"linear"},"correct":{"type":"linear","coords":[[-5,0],[1,-2]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/ce/239b6ab21843.json b/data/questions/fc/ce/239b6ab21843.json new file mode 100644 index 0000000000..2449e29ae2 --- /dev/null +++ b/data/questions/fc/ce/239b6ab21843.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-\\sin\\left(\\dfrac{\\pi}{8}x\\right)+7$ in the interactive widget.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[0,7],[4,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"url":null},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/d1/1a1e68669434.json b/data/questions/fc/d1/1a1e68669434.json new file mode 100644 index 0000000000..6b250c49f4 --- /dev/null +++ b/data/questions/fc/d1/1a1e68669434.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=-\\dfrac{3}{2}(x-2)^2$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[2,0],[4,-6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/d1/25b2445315af.json b/data/questions/fc/d1/25b2445315af.json new file mode 100644 index 0000000000..661226a15d --- /dev/null +++ b/data/questions/fc/d1/25b2445315af.json @@ -0,0 +1 @@ +{"content":"Consider the following quadratic function, given in vertex form:\n\n$\\qquad g(x)=-\\dfrac{3}{8}(x+3)^2+6$\n\n**What is the rightmost $x$-intercept of the function?**\n\n$\\qquad$[[☃ numeric-input 1]]\n\n**What are the coordinates of the vertex of the function?**\n\n$\\qquad ($[[☃ input-number 2]]$,$[[☃ input-number 3]]$)$\n\n**Graph the function in the interactive widget.**\n\n$$[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["quadratic"],"correct":{"asymptote":null,"coords":[[-3,6],[1,0]],"type":"quadratic"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"box":[340,340],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"type":"grapher","version":{"major":0,"minor":0}},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":-3},"type":"input-number","version":{"major":0,"minor":0}},"input-number 3":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":6},"type":"input-number","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":1},{"maxError":null,"message":"Remember you were asked for the rightmost x-intercept!","simplify":"accepted","status":"ungraded","strict":false,"value":-7}],"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/d2/07617ac3f3b2.json b/data/questions/fc/d2/07617ac3f3b2.json new file mode 100644 index 0000000000..1162c2f243 --- /dev/null +++ b/data/questions/fc/d2/07617ac3f3b2.json @@ -0,0 +1 @@ +{"content":"\n\nThe following rule describes the relationship between $x$ and $y$.\n\n*Rule: Multiply $x$ by $2$. Then add $5$ to the result to get $y$.*\n\n**Complete the table for the given rule.**\n\n\n$x$ | $y$ \n:-: | :-: \n$0$ | [[☃ numeric-input 1]]\n$1$ | [[☃ numeric-input 2]]\n$2$ | [[☃ numeric-input 3]]\n\n\n**Next, plot the ordered pairs from the table $(x,y)$ on the graph below.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"numeric-input 1":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":5,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 2":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":7,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"numeric-input 3":{"type":"numeric-input","alignment":"default","static":false,"graded":true,"options":{"static":false,"answers":[{"value":9,"status":"correct","message":"","simplify":"required","strict":false,"maxError":null}],"size":"normal","coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false},"version":{"major":0,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null,"scale":1,"bottom":0,"left":0},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-1,11],[-1,11]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"point","numPoints":3},"correct":{"type":"point","coords":[[0,5],[1,7],[2,9]],"numPoints":3}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/d8/92d5325ba5c5.json b/data/questions/fc/d8/92d5325ba5c5.json new file mode 100644 index 0000000000..0449a4b168 --- /dev/null +++ b/data/questions/fc/d8/92d5325ba5c5.json @@ -0,0 +1 @@ +{"content":"**Graph the circle which is centered at $(5,-4)$, and which has the point $(1,-1)$ on it**.\n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"center":[5,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/e4/6fac08f0b58d.json b/data/questions/fc/e4/6fac08f0b58d.json new file mode 100644 index 0000000000..c9ea95ecff --- /dev/null +++ b/data/questions/fc/e4/6fac08f0b58d.json @@ -0,0 +1 @@ +{"content":"A system of two linear equations is graphed below.\n\n**Approximate the solution of the system.**\n\n- $x= $ [[☃ numeric-input 1]]\n\n- $y= $ [[☃ numeric-input 2]]\n\n![](web+graphie://ka-perseus-graphie.s3.amazonaws.com/f84d63f200cbdca956f0cad308b6fc9c927f5729)","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/f84d63f200cbdca956f0cad308b6fc9c927f5729":{"height":425,"width":425}},"widgets":{"grapher 1":{"graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":null,"coords":null,"type":"linear"},"graph":{"backgroundImage":{"url":null},"box":[340,340],"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":"Image must be smaller than 450px x 450px."}},"type":"grapher","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[0,3],[1,-4]],[[0,-3],[1,-4]]],"type":"linear-system"},"graph":{"type":"linear-system"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":-2.75}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"numeric-input 2":{"graded":true,"options":{"answers":[{"maxError":0.25,"message":"","simplify":"required","status":"correct","strict":false,"value":-2.25}],"coefficient":false,"size":"normal"},"type":"numeric-input","version":{"major":0,"minor":0}},"plotter 1":{"graded":true,"options":{"categories":[""],"correct":[1],"labelInterval":1,"labels":["",""],"maxY":10,"scaleY":1,"snapsPerLine":2,"starting":[1],"type":"bar"},"type":"plotter","version":{"major":0,"minor":0}},"simulator 1":{"graded":true,"options":{"numTrials":100,"proportionLabel":"Underlying proportion","proportionOrPercentage":"proportion","xAxisLabel":"Proportion (%)","yAxisLabel":"Number of times seen"},"type":"simulator","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/ef/11475dab4187.json b/data/questions/fc/ef/11475dab4187.json new file mode 100644 index 0000000000..1913b61057 --- /dev/null +++ b/data/questions/fc/ef/11475dab4187.json @@ -0,0 +1 @@ +{"content":"**Mark the *absolute minimum* point of the graph.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d8242f544fbba5a75118458d7fcdffdffa17e5fe","width":425},"correct":{"coords":[[-3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/f8/9585438b9284.json b/data/questions/fc/f8/9585438b9284.json new file mode 100644 index 0000000000..36e64d8e3a --- /dev/null +++ b/data/questions/fc/f8/9585438b9284.json @@ -0,0 +1 @@ +{"content":"crwdns3144290:0{ENT}crwdne3144290:0","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/7d06533a1fe17171981cdb7412fc3921e0d53a2f","width":400},"correct":{"coords":[[-2,5],[-3,8],[3,8]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 2":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/53e7056023c6591bc51cc08c995cef91e686e765","width":400},"correct":{"coords":[[[2,-1],[4,6]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 3":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/835ba3ce0de18a5c2226ea87075026dab236a6b3","width":400},"correct":{"coords":[[-8,-1],[-5,0],[0,-1],[-5,-2]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"interactive-graph 4":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6f77ec93b66fcaf8c8a4075be81d88e85caead7c","width":425},"correct":{"coords":[[-4,-4],[-2,2],[3,1]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fc/ff/78652a0f56b9.json b/data/questions/fc/ff/78652a0f56b9.json new file mode 100644 index 0000000000..9104d77809 --- /dev/null +++ b/data/questions/fc/ff/78652a0f56b9.json @@ -0,0 +1 @@ +{"content":"**Graph $y=\\dfrac{2}{3}x$.**\n\n[[☃ interactive-graph 1]]\n\n\n**Which of the following statements are true?**\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[3,2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"The equation represents a proportional relationship.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $\\dfrac{2}{3}$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{2}{3}$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $2$ units in $y$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $1$ unit in $y$.","correct":false}],"countChoices":false,"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/fd/08/c611c84bdddf.json b/data/questions/fd/08/c611c84bdddf.json new file mode 100644 index 0000000000..d9a390b342 --- /dev/null +++ b/data/questions/fd/08/c611c84bdddf.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a rectangle with an area of $20$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-1],[2,3],[-3,3],[-3,-1]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/0a/86e4a87ed1a0.json b/data/questions/fd/0a/86e4a87ed1a0.json new file mode 100644 index 0000000000..1670b54d42 --- /dev/null +++ b/data/questions/fd/0a/86e4a87ed1a0.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $B$ under a dilation about point $P$ with a scale factor of $\\dfrac{1}{4}$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/18f68d6e90f55603330145ad1def3de4e3c5adb1","width":400},"correct":{"coords":[[-4,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/1c/3de5a2819bec.json b/data/questions/fd/1c/3de5a2819bec.json new file mode 100644 index 0000000000..bb0d603e91 --- /dev/null +++ b/data/questions/fd/1c/3de5a2819bec.json @@ -0,0 +1 @@ +{"content":"**Plot the foci of this ellipse**.\n\n[[☃ interactive-graph 1]]","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/691822eefdf3cc157a09fd499223a8172d940f3b":{"height":375,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/73cc2534df19a4e0f4ac484fd53f88a3434703dd","width":425},"correct":{"coords":[[2,-2],[-8,-2]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-16,16],[-16,16]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[2,2],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/2b/3754aa368e3b.json b/data/questions/fd/2b/3754aa368e3b.json new file mode 100644 index 0000000000..d6bc9e5b45 --- /dev/null +++ b/data/questions/fd/2b/3754aa368e3b.json @@ -0,0 +1 @@ +{"content":"**Graph $h(x)=4\\sin\\left(\\dfrac{\\pi}{4} x+\\dfrac{3\\pi}{4}\\right)+2$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[-3,2],[-1,6]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/59/69657c61b570.json b/data/questions/fd/59/69657c61b570.json new file mode 100644 index 0000000000..c48f8d1c30 --- /dev/null +++ b/data/questions/fd/59/69657c61b570.json @@ -0,0 +1 @@ +{"content":"**Plot two points that are $8$ units from Point $\\blueD{B}$ and also share the same $x$-coordinate as Point $\\blueD{B}$.**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/599aec9a5d9eab38ac41baeb5eff98c7997877e4","width":425},"correct":{"coords":[[-6,-8],[-6,8]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/59/fea56364abbc.json b/data/questions/fd/59/fea56364abbc.json new file mode 100644 index 0000000000..b0524b5b72 --- /dev/null +++ b/data/questions/fd/59/fea56364abbc.json @@ -0,0 +1 @@ +{"content":"The $3$ points plotted below are on the graph of $y=b^x$. \n \n**Based only on these $3$ points, plot the $3$ corresponding points that must be on the graph of $y=\\log_b{x}$ by clicking on the graph**.\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/8abd4d786e557d2d1fef2e79404203b5da19920c.png","width":425},"correct":{"coords":[[16,2],[1,0],[4,1]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-4,17],[-4,17]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[2,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/65/4c22028fe549.json b/data/questions/fd/65/4c22028fe549.json new file mode 100644 index 0000000000..5436cef534 --- /dev/null +++ b/data/questions/fd/65/4c22028fe549.json @@ -0,0 +1 @@ +{"content":"crwdns4116748:0$JKLM$crwdne4116748:0","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/632e2dbc6bb670212c818ad5913cee890920c504","width":425},"correct":{"coords":[[7,-3],[5,5],[-3,3],[3,3]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/6b/ad644fc37290.json b/data/questions/fd/6b/ad644fc37290.json new file mode 100644 index 0000000000..609fe2bfba --- /dev/null +++ b/data/questions/fd/6b/ad644fc37290.json @@ -0,0 +1 @@ +{"content":"**Construct a $15^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/87426fa1310546bc52661f6949f357d4d8528de3.png":{"height":85,"width":221},"https://ka-perseus-images.s3.amazonaws.com/b803267f608748cfceebd8c59173383510a737b1.png":{"height":192,"width":372}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":320,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d3b579e38c7e18228339abf487a469ed2220d2cd","width":320},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[5.185560572807981,5.18556057280798]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/74/f7b61b1949a6.json b/data/questions/fd/74/f7b61b1949a6.json new file mode 100644 index 0000000000..2a7a7f18ec --- /dev/null +++ b/data/questions/fd/74/f7b61b1949a6.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=\\dfrac{1}{8}(x-6)(x+2)$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"type":"grapher","alignment":"default","static":false,"graded":true,"options":{"correct":{"type":"quadratic","coords":[[2,-2],[6,0]]},"availableTypes":["quadratic"],"graph":{"editableSettings":["graph","snap","image"],"range":[[-10,10],[-10,10]],"labels":["x","y"],"step":[1,1],"gridStep":[1,1],"snapStep":[1,1],"valid":true,"backgroundImage":{"url":null},"markings":"graph","rulerLabel":"","rulerTicks":10,"showTooltips":false,"showProtractor":false,"showRuler":false}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/77/38acd156e89c.json b/data/questions/fd/77/38acd156e89c.json new file mode 100644 index 0000000000..3c95740ed8 --- /dev/null +++ b/data/questions/fd/77/38acd156e89c.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/9c46fb32b187bfab270c2778e5003e7f453a72e1","width":430},"correct":{"coords":[[-5,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/84/7aa50a727862.json b/data/questions/fd/84/7aa50a727862.json new file mode 100644 index 0000000000..a8242b5ea8 --- /dev/null +++ b/data/questions/fd/84/7aa50a727862.json @@ -0,0 +1 @@ +{"content":"**Construct a $35^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/0c5cb6794a494c00353580d505daea2b306880e9.png":{"height":198,"width":374},"https://ka-perseus-images.s3.amazonaws.com/b20a059f8f157f0e48bfe7ecaee5d40a38822976.png":{"height":161,"width":215}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[2.8061354926511557,6.017776983877903]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/99/46326ac945db.json b/data/questions/fd/99/46326ac945db.json new file mode 100644 index 0000000000..d993a0aedd --- /dev/null +++ b/data/questions/fd/99/46326ac945db.json @@ -0,0 +1 @@ +{"content":"Here is a graph of a segment of $f(x)=x$.\n\n$g(x) = \\dfrac{4}{3}f(x+1)-5$\n\n**Graph $g$.**\n\n[[☃ interactive-graph 4]]","images":{},"widgets":{"interactive-graph 4":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":null},"correct":{"coords":[[[-4,-9],[2,-1]]],"hasBeenInteractedWith":true,"range":[[-10,10],[-10,10]],"snapStep":[0.5,0.5],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"lockedFigures":[{"color":"grayH","kind":"segment","lineStyle":"solid","points":[{"color":"grayH","coord":[-3,-3],"filled":true,"type":"point"},{"color":"grayH","coord":[3,3],"filled":true,"type":"point"}],"showPoint1":true,"showPoint2":true,"type":"line"}],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":true,"snapStep":[0.5,0.5],"step":[1,1],"valid":true},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/99/a8f797184e88.json b/data/questions/fd/99/a8f797184e88.json new file mode 100644 index 0000000000..3bc23ecb2a --- /dev/null +++ b/data/questions/fd/99/a8f797184e88.json @@ -0,0 +1 @@ +{"content":"crwdns3144455:0$SHRIMP$crwdnd3144455:0$T_crwdne3144455:0","images":{},"widgets":{"interactive-graph 5":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/4d29c6189dcc3d2e4a871c348515bea655c6b1e0","width":400},"correct":{"coords":[[2,2],[3,6],[8,4],[6,4],[4,2],[5,0]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/bd/0374e0664409.json b/data/questions/fd/bd/0374e0664409.json new file mode 100644 index 0000000000..75f6489d3c --- /dev/null +++ b/data/questions/fd/bd/0374e0664409.json @@ -0,0 +1 @@ +{"content":"The figure below shows two sides of an incomplete quadrilateral. \n \n**Using the movable line segments below, connect points A and C to one of the black points to finish building a quadrilateral that is symmetrical across the dashed line.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/155c8c3d0dfd2b6e6c32eae89f0452b5cd851c09","scale":"1","bottom":"0","left":"0","width":400,"height":400},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-3,7],[-3,7]],"gridStep":[0.5,0.5],"snapStep":[0.5,0.5],"graph":{"type":"segment","numSegments":2},"correct":{"type":"segment","numSegments":2,"coords":[[[4,-1],[5,6]],[[4,-1],[-1,0]]]}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/be/b7426e7da96c.json b/data/questions/fd/be/b7426e7da96c.json new file mode 100644 index 0000000000..1cf091020f --- /dev/null +++ b/data/questions/fd/be/b7426e7da96c.json @@ -0,0 +1 @@ +{"content":"**Drag the vertex of the angle to place the vertex at point $\\text{A}$.** \n\n**Drag another point on the angle to make one of the rays go through point $\\text{B}$.**\n\n**Make the other ray go through one of the unlabeled black points to create an acute angle.** \n*The arc symbol near the vertex indicates the angle being measured.*\n\n\n[[☃ interactive-graph 1]]\n\nThis is an acute angle because its measure is [[☃ dropdown 1]] $90^\\circ$.","images":{},"widgets":{"dropdown 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"□□□□□ □□","correct":false},{"content":"□□□□□□□ □□□□","correct":false},{"content":"□□□□ □□□□","correct":true}],"placeholder":"","static":false},"static":false,"type":"dropdown","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/9d0b14f85f71aad5488abb536a89caa5a285518f.png","width":400},"correct":{"allowReflexAngles":false,"angleOffsetDeg":1,"coords":[[-1.9127597142317452,-1.9127597142317443],[2,2],[6.763219140870667,-9.221441081957153]],"snapDegrees":4,"type":"angle"},"graph":{"allowReflexAngles":false,"angleOffsetDeg":1,"snapDegrees":4,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/ca/aa06072b2cca.json b/data/questions/fd/ca/aa06072b2cca.json new file mode 100644 index 0000000000..f1678fae73 --- /dev/null +++ b/data/questions/fd/ca/aa06072b2cca.json @@ -0,0 +1 @@ +{"content":"Quinn returned home one summer's day to find it sweat-inducingly hot! He turned the air conditioner on and fell asleep. The room's temperature decreased by $0.5^\\circ$ Celsius each minute, and Quinn woke up $60$ minutes later when it was $10^\\circ$ Celsius.\n\n**Graph the relationship between the room's temperature (in degrees Celsius) and time (in minutes).** \n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"asymptote":[],"coords":[[50,15],[60,10]],"type":"linear"},"graph":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/763b155f158ad1e8b501e257bf2e874ce776d172","width":400},"editableSettings":["graph","snap","image"],"gridStep":[5,5],"labels":["",""],"markings":"none","range":[[-5,70],[-5,50]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[5,5],"step":[10,5],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/d3/df664d97f5c9.json b/data/questions/fd/d3/df664d97f5c9.json new file mode 100644 index 0000000000..62b7826820 --- /dev/null +++ b/data/questions/fd/d3/df664d97f5c9.json @@ -0,0 +1 @@ +{"content":"crwdns6412417:0$2$crwdne6412417:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a37f02d42c50e709f24d530b14c2141c3da9247c","width":425},"correct":{"coords":[[6,-3],[-2,6],[-7,-3]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/da/2a9f16911872.json b/data/questions/fd/da/2a9f16911872.json new file mode 100644 index 0000000000..cc24049194 --- /dev/null +++ b/data/questions/fd/da/2a9f16911872.json @@ -0,0 +1 @@ +{"content":"**Plot the points $(2,4)$ and $(2,-8)$ on the coordinate plane below.**\n\n**What is the distance between these two points?** \n[[☃ numeric-input 1]] units\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[2,-8],[2,4]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":null,"message":"","simplify":"required","status":"correct","strict":false,"value":12},{"maxError":null,"message":"ŔŘéèḿṁéèḿṁƀḃéèŕř ťțĥȟáàťț ďđíìśŝťțáàńňćĉéè śŝĥȟóòúùĺľďđ áàĺľẃẁáàýśŝ ƀḃéè ṕṗóòśŝíìťțíìṽṿéè.","simplify":"required","status":"wrong","strict":false,"value":-12}],"coefficient":false,"labelText":"","size":"small","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/db/4374aa9e8bf7.json b/data/questions/fd/db/4374aa9e8bf7.json new file mode 100644 index 0000000000..0604f4389d --- /dev/null +++ b/data/questions/fd/db/4374aa9e8bf7.json @@ -0,0 +1 @@ +{"content":"Graph $f(x)$ on the given domain. \n\n$\\quad f(x) = 5|x-3|-8, ~~\\text{Domain}~~[0,5]$ \n\n\n\n**What are the coordinates of the vertex?** \n\n$\\quad \\Large ($[[☃ input-number 1]]$\\Large ,$[[☃ input-number 2]]$\\Large )$\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"3"},"type":"input-number"},"input-number 2":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"-8"},"type":"input-number"},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[[0,7],[3,-8]],[[3,-8],[5,2]]],"numSegments":2,"type":"segment"},"graph":{"numSegments":2,"type":"segment"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/fd/e9/8a16955d8bda.json b/data/questions/fd/e9/8a16955d8bda.json new file mode 100644 index 0000000000..0288bea11a --- /dev/null +++ b/data/questions/fd/e9/8a16955d8bda.json @@ -0,0 +1 @@ +{"content":"A baby bird jumps from a tree branch and flutters to the ground. The function $f$ models the bird's height (in meters) above the ground as a function of time (in seconds) after jumping.\n\n**Plot the point on the graph of $f$ that corresponds to the bird's height above the ground when it jumped.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/cd6ed271d8ae39e908e3b4e0f9e6f8d7665dd8cf","width":400},"correct":{"coords":[[0,12]],"type":"point"},"graph":{"type":"point"},"gridStep":[0.5,1],"labels":["x","y"],"markings":"none","range":[[-2,4],[-4,18]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[0.25,1],"step":[1,2]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fd/fc/1c9cffaa4f42.json b/data/questions/fd/fc/1c9cffaa4f42.json new file mode 100644 index 0000000000..5a9e8ff9d1 --- /dev/null +++ b/data/questions/fd/fc/1c9cffaa4f42.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/24d3859d6af72989cd8a5e1e562edff98b4ed146","width":430},"correct":{"coords":[[0,9]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/04/fff1675fbdbf.json b/data/questions/fe/04/fff1675fbdbf.json new file mode 100644 index 0000000000..55bc45057e --- /dev/null +++ b/data/questions/fe/04/fff1675fbdbf.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(8,9)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[8,9]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/05/67662c30a1de.json b/data/questions/fe/05/67662c30a1de.json new file mode 100644 index 0000000000..fbd9991c8c --- /dev/null +++ b/data/questions/fe/05/67662c30a1de.json @@ -0,0 +1 @@ +{"content":"crwdns3354660:0$z_1$crwdnd3354660:0{z_1}crwdne3354660:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d918505e522ef82ac66762f934dd483fd89b2392","width":430},"correct":{"coords":[[3,-5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/08/ffa6d1e3ed0e.json b/data/questions/fe/08/ffa6d1e3ed0e.json new file mode 100644 index 0000000000..9cb5a36a24 --- /dev/null +++ b/data/questions/fe/08/ffa6d1e3ed0e.json @@ -0,0 +1 @@ +{"content":"The graph below contains triangle $\\triangle COD$ and the point $P(0,-4)$. \n \n**Draw the image of $\\triangle COD$ under a dilation whose center is $P$ and scale factor is $\\dfrac{7}{2}$.** \n \n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/058d0fb6ccfc1f3be4782a3a83cb4345e64c9e01","width":425},"correct":{"coords":[[-14,-4],[0,-11],[14,-4]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[2,2],"labels":["ẍẋ","ý"],"markings":"none","range":[[-15,15],[-15,15]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[2,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/1a/b5d137b79225.json b/data/questions/fe/1a/b5d137b79225.json new file mode 100644 index 0000000000..832298a724 --- /dev/null +++ b/data/questions/fe/1a/b5d137b79225.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=3\\log_2(-x)-9$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm"],"correct":{"asymptote":[[0,-10],[0,10]],"coords":[[-1,-9],[-8,0]],"type":"logarithm"},"graph":{"backgroundImage":{"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/22/a5e13b8347af.json b/data/questions/fe/22/a5e13b8347af.json new file mode 100644 index 0000000000..e73128949e --- /dev/null +++ b/data/questions/fe/22/a5e13b8347af.json @@ -0,0 +1 @@ +{"content":"**Graph the circle $(x-1)^2+(y+4)^2=25$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[1,-4],"radius":5,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/25/fe5058ed1c21.json b/data/questions/fe/25/fe5058ed1c21.json new file mode 100644 index 0000000000..d8536dc86e --- /dev/null +++ b/data/questions/fe/25/fe5058ed1c21.json @@ -0,0 +1 @@ +{"content":"Under which of the following conditions would one expect ATP hydrolysis to be non-spontaneous?\n\n[[☃ radio 1]]\n\n","images":{},"widgets":{"radio 1":{"type":"radio","graded":true,"options":{"choices":[{"content":"No enzymes available to lower activation energy","correct":false},{"content":"A very basic environment (high concentration of proton acceptors)","correct":false},{"isNoneOfTheAbove":false,"content":"A temperature slightly below $37^\\circ\\text{C}$","correct":false},{"isNoneOfTheAbove":false,"content":"ATP concentrations very far below equilibrium concentration, and ADP concentrations very far above equilibrium concentration","correct":true}],"randomize":true,"multipleSelect":false,"displayCount":null,"hasNoneOfTheAbove":false,"onePerLine":true,"deselectEnabled":false},"version":{"major":1,"minor":0}},"interactive-graph 1":{"type":"interactive-graph","graded":true,"options":{"step":[1,1],"backgroundImage":{"url":null},"markings":"graph","labels":["x","y"],"showProtractor":false,"showRuler":false,"rulerLabel":"","rulerTicks":10,"range":[[-10,10],[-10,10]],"graph":{"type":"linear"},"correct":{"type":"linear","coords":null}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/34/42b4fbbaa124.json b/data/questions/fe/34/42b4fbbaa124.json new file mode 100644 index 0000000000..24b835ed36 --- /dev/null +++ b/data/questions/fe/34/42b4fbbaa124.json @@ -0,0 +1 @@ +{"content":"Marta's town map shows that she lives at the point $(3,4)$ on the coordinate grid below. Her favorite place to listen to music is located at the point $(7,10)$. To get there from her home, she will walk north (up) then east (right). \n\n**Plot Marta's home and her favorite music place on the map.**\n\n[[☃ interactive-graph 1]] \n\n**How far does Marta walk to get to her favorite music place?** \n[[☃ input-number 1]] units","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":10},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,4],[7,10]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,12],[-1,12]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/3c/da757baf194c.json b/data/questions/fe/3c/da757baf194c.json new file mode 100644 index 0000000000..fb7aa560dd --- /dev/null +++ b/data/questions/fe/3c/da757baf194c.json @@ -0,0 +1 @@ +{"content":"crwdns3399075:0$f$crwdnd3399075:0$a$crwdnd3399075:0$e$crwdnd3399075:0$f$crwdnd3399075:0$x$crwdnd3399075:0$a$crwdnd3399075:0$b$crwdnd3399075:0$c$crwdnd3399075:0$d$crwdnd3399075:0$e$crwdnd3399075:0$fcrwdnd3399075:0$61$crwdnd3399075:0$-31$crwdnd3399075:0$71$crwdnd3399075:0$101$crwdnd3399075:0$-11$crwdnd3399075:0$f$crwdnd3399075:0$f$crwdne3399075:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/bc3d431242174bec47c29a8a864032066e6d5770","width":400},"correct":{"coords":[[[-5,6],[5,-1]],[[-5,3],[5,5]],[[-5,0],[5,-4]],[[-5,-3],[5,-7]],[[-5,-6],[5,2]]],"numSegments":5,"type":"segment"},"graph":{"numSegments":5,"type":"segment"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 2":{"alignment":"default","graded":true,"options":{"choices":[{"content":"crwdns3399080:0$f$crwdne3399080:0","correct":true},{"content":"crwdns3399081:0$f$crwdne3399081:0","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":true,"randomize":false},"static":false,"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/fe/52/9f0f69fc5191.json b/data/questions/fe/52/9f0f69fc5191.json new file mode 100644 index 0000000000..5ea93e73b3 --- /dev/null +++ b/data/questions/fe/52/9f0f69fc5191.json @@ -0,0 +1 @@ +{"content":"crwdns3458193:0crwdne3458193:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[-7,0]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns3354189:0{Re}crwdne3354189:0","crwdns3354188:0{Im}crwdne3354188:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/62/084cd88b5160.json b/data/questions/fe/62/084cd88b5160.json new file mode 100644 index 0000000000..fdfa2afe9e --- /dev/null +++ b/data/questions/fe/62/084cd88b5160.json @@ -0,0 +1 @@ +{"content":"Let $f(x)=\\log_2(x-1)-x$ and let $g(x)=3(x-5)^2-8$. \n\nThe graph of $y=f(x)$ is shown below.\n\n**Use the interactive graph to sketch a graph of $y=g(x)$. **\n\n[[☃ grapher 1]]\n\nLet $x_1$ and $x_2$ be solutions of $\\log_2(x-1)-x=3(x-5)^2-8$, where $x_1>x_2$. \n\n\n\n**Estimate the value of $x_1$. ** \n*Answers within $\\textit{0.5}$ units of the solution will be accepted.* \n\n[[☃ numeric-input 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear","absolute_value","quadratic","exponential","logarithm"],"correct":{"coords":[[5,-8],[4,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1bd7d19f90bcc0ea5a681d47aa9b9f4eb4dcb650","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}},"numeric-input 1":{"alignment":"default","graded":true,"options":{"answers":[{"maxError":0.5,"message":"","simplify":"required","status":"correct","strict":false,"value":6.182},{"maxError":0.5,"message":"We're asked to find the greater of the two solutions. This approximates the lesser solution. ","simplify":"required","status":"wrong","strict":false,"value":3.6}],"coefficient":false,"labelText":"","multipleNumberInput":false,"rightAlign":false,"size":"normal","static":false},"static":false,"type":"numeric-input","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/69/0c0aac7db63a.json b/data/questions/fe/69/0c0aac7db63a.json new file mode 100644 index 0000000000..75ae452f84 --- /dev/null +++ b/data/questions/fe/69/0c0aac7db63a.json @@ -0,0 +1 @@ +{"content":"crwdns3898365:0$ycrwdnd3898365:0{3}crwdnd3898365:0{2}crwdne3898365:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,-3],[2,-6]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/69/696b8708c4c0.json b/data/questions/fe/69/696b8708c4c0.json new file mode 100644 index 0000000000..28e5e37a59 --- /dev/null +++ b/data/questions/fe/69/696b8708c4c0.json @@ -0,0 +1 @@ +{"content":"crwdns4115748:0$Q$crwdne4115748:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/c3f09f72e57a6eaafa9895f8597c91808878906d","width":425},"correct":{"coords":[[-3,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/80/52ab16fb915a.json b/data/questions/fe/80/52ab16fb915a.json new file mode 100644 index 0000000000..915666efce --- /dev/null +++ b/data/questions/fe/80/52ab16fb915a.json @@ -0,0 +1 @@ +{"content":"$\\triangle{PIN}$ is rotated $-270^\\circ$ about the origin. \n\n**Draw the image of this rotation.**\n\n[[☃ interactive-graph 3]]","images":{},"widgets":{"interactive-graph 3":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/6fe33fbdce2ff4a1e6ce82f6f5523339f7f518e5","width":425},"correct":{"coords":[[7,2],[7,7],[-3,2]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/8e/7061507dc3a4.json b/data/questions/fe/8e/7061507dc3a4.json new file mode 100644 index 0000000000..f2e9b3533f --- /dev/null +++ b/data/questions/fe/8e/7061507dc3a4.json @@ -0,0 +1 @@ +{"content":"Each small square on the grid has an area of $1$ square unit.\n\n**Move the corners of the figure around to make a square with an area of $25$ square units.**\n[[☃ interactive-graph 1]]","images":{"https://ka-perseus-images.s3.amazonaws.com/b5eb8b20bb2b5ac52b7983c6b98de09cec313259.png":{"height":439,"width":414},"https://ka-perseus-images.s3.amazonaws.com/b5fe23f5789b0548ba46d866972fb31eb6ffbb55.png":{"height":356,"width":490},"https://ka-perseus-images.s3.amazonaws.com/df0f7d2ca0d0355d83299fad91251c546cf0b398.png":{"height":487,"width":546}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[2,-2],[2,3],[-3,3],[-3,-2]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"grid","range":[[-4,4],[-4,4]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/93/e4ba7e71b941.json b/data/questions/fe/93/e4ba7e71b941.json new file mode 100644 index 0000000000..5ac343d8a3 --- /dev/null +++ b/data/questions/fe/93/e4ba7e71b941.json @@ -0,0 +1 @@ +{"content":"**Graph $f(x)=2\\cos\\left(\\dfrac{\\pi}{5}x-\\dfrac{2\\pi}{5}\\right)-4$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"asymptote":null,"coords":[[4.5,-4],[2,-2]],"type":"sinusoid"},"graph":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"step":[1,1]}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/b2/6689f46fee8d.json b/data/questions/fe/b2/6689f46fee8d.json new file mode 100644 index 0000000000..bdf0c4c0fa --- /dev/null +++ b/data/questions/fe/b2/6689f46fee8d.json @@ -0,0 +1 @@ +{"content":"A proportional relationship is shown in the table below:\n\n\n||||||\n-:|-:|-:|-:|-:|-:|\n$x$|$0$|$2$|$4$|$6$|$8$\n$y$|$0$|$1.2$|$2.4$|$3.6$|$4.8$\n\n**What is the slope of the line that represents this relationship?** \n\n$\\qquad$[[☃ input-number 1]]\n\n**Graph the line that represents this relationship.**\n[[☃ interactive-graph 1]]","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"normal","value":0.6},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/be/feb516f3ebaf.json b/data/questions/fe/be/feb516f3ebaf.json new file mode 100644 index 0000000000..f63891b5ab --- /dev/null +++ b/data/questions/fe/be/feb516f3ebaf.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-1(x-3)^2+4$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[3,4],[2,3]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/c0/40a16458fcff.json b/data/questions/fe/c0/40a16458fcff.json new file mode 100644 index 0000000000..51dc8edcfc --- /dev/null +++ b/data/questions/fe/c0/40a16458fcff.json @@ -0,0 +1 @@ +{"content":"**Use the interactive graph below to sketch a graph of $y=-3\\cdot \\left(\\dfrac12\\right)^{-x}$.**\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["logarithm","exponential"],"correct":{"asymptote":[[-10,0],[10,0]],"coords":[[0,-3],[1,-6]],"type":"exponential"},"graph":{"backgroundImage":{"url":""},"box":[340,340],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/c3/151f29f6a501.json b/data/questions/fe/c3/151f29f6a501.json new file mode 100644 index 0000000000..15570fe3c5 --- /dev/null +++ b/data/questions/fe/c3/151f29f6a501.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(3,7)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/c5/bde701f772d8.json b/data/questions/fe/c5/bde701f772d8.json new file mode 100644 index 0000000000..e737d5fc24 --- /dev/null +++ b/data/questions/fe/c5/bde701f772d8.json @@ -0,0 +1 @@ +{"content":"करण कार खरीदने के लिए पैसे बचा रहा है उसने पिछले तीन वर्षो से एक समान राशि बचा ली है और यह रिकॉर्ड कि प्रत्येक वर्ष के अंत में उसके पास कितनी राशि बचती है नीचे तालिका में दिया गया है \n\n |वर्ष $1$|वर्ष $2$|वर्ष $3$\n-:|-:|-:|-:\nकुल बचायी गयी राशि |$\\$1500$|$\\$3000$|$\\$4500$\n\n**समय के संबंध में करण के लिए डॉलर की परिवर्तन की *इकाई दर* क्या है; यह है कि, करण *एक* वर्ष में कितना बचाता है? **\n\nइकाई दर [[☃ input-number 1]] डॉलर प्रति वर्ष हैI \n\n\n\n**आलेख ऊपर आनुपातिक संबंध का विवरण देता है, $x$-निर्देशांक वर्ष दर्शाता है ,और $y$-निर्देशांक हज़ारों डॉलर की राशि को दर्शाता है I**\n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"input-number 1":{"graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":1500},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[2,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[0.5,0.5],"labels":["x","y"],"markings":"graph","range":[[-1,5],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.25,0.25],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/ce/a9829aec32e3.json b/data/questions/fe/ce/a9829aec32e3.json new file mode 100644 index 0000000000..bb26b21409 --- /dev/null +++ b/data/questions/fe/ce/a9829aec32e3.json @@ -0,0 +1 @@ +{"content":"One of the points that defines a certain quadrilateral is $(-9,2)$. The quadrilateral has the following symmetries:\n\n* rotational symmetry of $180^\\circ$ about the point $(-2,2)$\n* reflective symmetry over the line $y=-x$\n\n**Draw and classify the quadrilateral described above.** \n(Choose the most specific description.)\n\n[[☃ interactive-graph 1]]\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":400,"left":0,"scale":1,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b10785190c2d9a13b9d71510f9d915f17f1e931a","width":400},"correct":{"coords":[[-9,2],[-2,9],[5,2],[-2,-5]],"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"alignment":"default","graded":true,"options":{"choices":[{"content":"वर्ग (Square)","correct":true},{"content":"आयत (Rectangle)","correct":false},{"content":"समचतुर्भुज (Rhombus)","correct":false},{"content":"समांतर चतुर्भुज (Parallelogram)","correct":false},{"content":"समलंब चतुर्भुज (Trapezoid)","correct":false},{"content":"Kite","correct":false}],"deselectEnabled":false,"displayCount":null,"hasNoneOfTheAbove":false,"multipleSelect":false,"onePerLine":false,"randomize":false},"type":"radio","version":{"major":1,"minor":0}}}} diff --git a/data/questions/fe/d1/855be114e0ea.json b/data/questions/fe/d1/855be114e0ea.json new file mode 100644 index 0000000000..b66298d0bc --- /dev/null +++ b/data/questions/fe/d1/855be114e0ea.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $3$ units to the right and $4$ units down.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0edeb7c2c589581214eb32d2c0c167277eae252b","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[5,-7],[6,-2],[3,-5]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/d4/aee09745be0c.json b/data/questions/fe/d4/aee09745be0c.json new file mode 100644 index 0000000000..f5d4aa1f25 --- /dev/null +++ b/data/questions/fe/d4/aee09745be0c.json @@ -0,0 +1 @@ +{"content":"crwdns2954619:0$4$crwdnd2954619:0$x$crwdnd2954619:0$y$crwdnd2954619:0$ycrwdnd2954619:0$4$crwdnd2954619:0$6$crwdnd2954619:0$x$crwdnd2954619:0$y$crwdnd2954619:0:-:crwdnd2954619:0$0$crwdnd2954619:0$0$crwdnd2954619:0$1$crwdnd2954619:0$4$crwdnd2954619:0$2$crwdnd2954619:0$8$crwdnd2954619:0$3$crwdnd2954619:0$12$crwdne2954619:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[4,16],[6,24]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-2,10],[-2,30]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/e4/3387d49b094f.json b/data/questions/fe/e4/3387d49b094f.json new file mode 100644 index 0000000000..396d2ca62e --- /dev/null +++ b/data/questions/fe/e4/3387d49b094f.json @@ -0,0 +1 @@ +{"content":"On your math quiz, you earn $4$ points for each question that you answer correctly. In the table below, $x$ represents the number of questions that you answer correctly on your math quiz, and $y$ represents the total number of points that you score on your quiz.\n\nThe relationship between these two variables can be expressed by the following equation:\n\n$y=4x.$\n\n**Plot two points on the graph that show the number of points you get on your quiz if you answer $4$ questions correctly and $6$ questions correctly.**\n\n\n$x$ | $y$\n:-:|:-:\n$0$ | $0$\n$1$ | $4$\n$2$ | $8$\n$3$ | $12$\n\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[4,16],[6,24]],"numPoints":2,"type":"point"},"graph":{"numPoints":2,"type":"point"},"gridStep":[1,2],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-2,10],[-2,30]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,2]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/e5/ce7ae87f9453.json b/data/questions/fe/e5/ce7ae87f9453.json new file mode 100644 index 0000000000..3c67a6748d --- /dev/null +++ b/data/questions/fe/e5/ce7ae87f9453.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $Q$ under the translation $(x,y)\\to(x-3,y+4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a849ff536c19c78369d9bd5c25293b4cf156fe15","width":425},"correct":{"coords":[[0,3]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/ea/5e20fa376000.json b/data/questions/fe/ea/5e20fa376000.json new file mode 100644 index 0000000000..510163bef9 --- /dev/null +++ b/data/questions/fe/ea/5e20fa376000.json @@ -0,0 +1 @@ +{"content":"**Draw the image of quadrilateral $ABCD$ under a translation by $6$ units right.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/5ab942fa4dee1beb69b6574ba027c95f57bee62f","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":4,"snapTo":"grid"},"correct":{"type":"polygon","numSides":4,"coords":[[6,-2],[4,3],[1,1],[0,-3]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/fe/fb/db9458b993e4.json b/data/questions/fe/fb/db9458b993e4.json new file mode 100644 index 0000000000..819335e5d9 --- /dev/null +++ b/data/questions/fe/fb/db9458b993e4.json @@ -0,0 +1 @@ +{"content":"You are downloading a file from the Internet.\nYour download rate is equal to $10$ megabytes per minute. Assume $x$ represents the time in minutes, and $y$ represents the amount of downloaded data in megabytes.\n\n**Draw the graph that represents the amount of downloaded data as a function of time.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,0],[7,70]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-1,11],[-10,105]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,10]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/07/3cd98eac1eba.json b/data/questions/ff/07/3cd98eac1eba.json new file mode 100644 index 0000000000..87db5ff10f --- /dev/null +++ b/data/questions/ff/07/3cd98eac1eba.json @@ -0,0 +1 @@ +{"content":"crwdns4115791:0$3$crwdnd4115791:0$4$crwdne4115791:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/0edeb7c2c589581214eb32d2c0c167277eae252b","width":425},"correct":{"coords":[[5,-7],[6,-2],[3,-5]],"numSides":3,"snapTo":"grid","type":"polygon"},"graph":{"numSides":3,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/13/33771d1012dc.json b/data/questions/ff/13/33771d1012dc.json new file mode 100644 index 0000000000..cc6f0eb793 --- /dev/null +++ b/data/questions/ff/13/33771d1012dc.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to draw a right triangle with a right angle at $(3,-2)$, another vertex at $(3,3)$, and a base that is parallel to the $x$-axis and two times its height.** \n\n[[☃ interactive-graph 1]]\n","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-7,-2],[3,3],[3,-2]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/1f/9ac127d08c5b.json b/data/questions/ff/1f/9ac127d08c5b.json new file mode 100644 index 0000000000..bb30d26923 --- /dev/null +++ b/data/questions/ff/1f/9ac127d08c5b.json @@ -0,0 +1 @@ +{"content":"crwdns3474923:0crwdne3474923:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6,4]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/25/068424b3c777.json b/data/questions/ff/25/068424b3c777.json new file mode 100644 index 0000000000..3badbd7557 --- /dev/null +++ b/data/questions/ff/25/068424b3c777.json @@ -0,0 +1 @@ +{"content":"**Graph the equation.**\n\n$y=-4(x+2)^2-1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-2,-1],[-3,-5]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/26/d8d81a6f7cb2.json b/data/questions/ff/26/d8d81a6f7cb2.json new file mode 100644 index 0000000000..b86ca90335 --- /dev/null +++ b/data/questions/ff/26/d8d81a6f7cb2.json @@ -0,0 +1 @@ +{"content":"**On the graph below, use the two points to draw a line through the point $(5,-6)$ that will create a system of equations with *exactly one solution* at the point $(2,4)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"options":{"backgroundImage":{"bottom":0,"height":425,"left":0,"scale":1,"url":"https://ka-perseus-graphie.s3.amazonaws.com/d2e59931a2f2be7dc16aeb97d96d18b0daed495b.png","width":425},"correct":{"coords":[[2,4],[5,-6]],"type":"linear"},"graph":{"type":"linear"},"markings":"none","range":[[-10,10],[-10,10]],"showProtractor":false,"step":[1,1]},"type":"interactive-graph"}}} diff --git a/data/questions/ff/2f/e2c01008ab64.json b/data/questions/ff/2f/e2c01008ab64.json new file mode 100644 index 0000000000..bff32d39ee --- /dev/null +++ b/data/questions/ff/2f/e2c01008ab64.json @@ -0,0 +1 @@ +{"content":"**Graph $y=-2\\cos\\left(\\dfrac{1}{6}x\\right)-5$ in the interactive widget.** \n*Note that one moveable point always defines an extremum point in the graph and the other point always defines a neighbouring intersection with the midline.*\n\n[[☃ grapher 1]]\n\n","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["sinusoid"],"correct":{"coords":[[6,-5],[0,-7]],"type":"sinusoid"},"graph":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/72ac979a8315bfa2a1b802326d9c7f3447c10760","width":400},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/30/a09dae581b48.json b/data/questions/ff/30/a09dae581b48.json new file mode 100644 index 0000000000..1c000d8635 --- /dev/null +++ b/data/questions/ff/30/a09dae581b48.json @@ -0,0 +1 @@ +{"content":"**Graph the following equation.**\n\n$\\qquad 26x+2y=13$\n\n[[☃ interactive-graph 1]] ","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":null},"correct":{"coords":[[0,6.5],[0.5,0]],"type":"linear"},"graph":{"type":"linear"},"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/30/de8d8bb88aa5.json b/data/questions/ff/30/de8d8bb88aa5.json new file mode 100644 index 0000000000..becb86a5de --- /dev/null +++ b/data/questions/ff/30/de8d8bb88aa5.json @@ -0,0 +1 @@ +{"content":"**Graph $3x+4y=12$.**\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,3],[4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/3c/a6c5426b9fcc.json b/data/questions/ff/3c/a6c5426b9fcc.json new file mode 100644 index 0000000000..2b1c0c6009 --- /dev/null +++ b/data/questions/ff/3c/a6c5426b9fcc.json @@ -0,0 +1 @@ +{"content":"crwdns4115385:0$ABCD$crwdnd4115385:0$y$crwdne4115385:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/42d82e5f734e964a977bb1c3a4973a71d2c0205f","width":425},"correct":{"coords":[[-3,-6],[-2,-3],[-4,-2],[-5,-4]],"numSides":4,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/3f/0ec61dd6aff0.json b/data/questions/ff/3f/0ec61dd6aff0.json new file mode 100644 index 0000000000..a32197e7f9 --- /dev/null +++ b/data/questions/ff/3f/0ec61dd6aff0.json @@ -0,0 +1 @@ +{"content":"**Draw the image of $\\triangle ABC$ under a translation by $2$ units up.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"type":"interactive-graph","alignment":"default","static":false,"graded":true,"options":{"step":[1,1],"backgroundImage":{"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/a37f02d42c50e709f24d530b14c2141c3da9247c","width":425,"height":425},"markings":"none","labels":["x","y"],"showProtractor":false,"showRuler":false,"showTooltips":false,"rulerLabel":"","rulerTicks":10,"range":[[-8,8],[-8,8]],"gridStep":[1,1],"snapStep":[1,1],"graph":{"type":"polygon","numSides":3,"snapTo":"grid"},"correct":{"type":"polygon","numSides":3,"coords":[[6,-3],[-2,6],[-7,-3]],"snapTo":"grid"}},"version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/3f/8b8a8bc6618d.json b/data/questions/ff/3f/8b8a8bc6618d.json new file mode 100644 index 0000000000..5d45f432e7 --- /dev/null +++ b/data/questions/ff/3f/8b8a8bc6618d.json @@ -0,0 +1 @@ +{"content":"**Plot the image of point $A$ under a reflection across line $\\ell$.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/b23a1ea6cd492cacc5a6942afefcb1dc35e93ec5","width":400},"correct":{"coords":[[-6,5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["x","y"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/40/1bc18b2f5256.json b/data/questions/ff/40/1bc18b2f5256.json new file mode 100644 index 0000000000..9829f286f6 --- /dev/null +++ b/data/questions/ff/40/1bc18b2f5256.json @@ -0,0 +1 @@ +{"content":"**Plot the point $(3,7)$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[3,7]],"numPoints":1,"type":"point"},"graph":{"numPoints":1,"type":"point"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-1,10],[-1,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/4b/fc7395844dc0.json b/data/questions/ff/4b/fc7395844dc0.json new file mode 100644 index 0000000000..f28e1ad86b --- /dev/null +++ b/data/questions/ff/4b/fc7395844dc0.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}-2 & -2 \\\\ -1 & 1\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}=\\left[\\begin{array}{r}2 \\\\ 1\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/edb99a860e57a48adb26b95121344494550a89f6","width":425},"correct":{"coords":[[[0,0],[-6,-1]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/53/9447ad38578b.json b/data/questions/ff/53/9447ad38578b.json new file mode 100644 index 0000000000..0f0c983644 --- /dev/null +++ b/data/questions/ff/53/9447ad38578b.json @@ -0,0 +1 @@ +{"content":"Jesenia drew a rectangle with an area of $16$ square units.\n\n**Move the corners of the other figure to make a *different* rectangle with the *same area*.** \n*NO sides should be $4$ units long.*\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":400,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/8b634293911e5fa6c5f4a3fed5421945609efc1b","width":400},"correct":{"coords":[[4,-3],[4,-1],[-4,-1],[-4,-3]],"match":"congruent","numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"graph":{"numSides":4,"showAngles":false,"showSides":false,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"grid","range":[[-5,5],[-5,5]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/5a/7020e3c7ff74.json b/data/questions/ff/5a/7020e3c7ff74.json new file mode 100644 index 0000000000..4245c208d5 --- /dev/null +++ b/data/questions/ff/5a/7020e3c7ff74.json @@ -0,0 +1 @@ +{"content":"**Construct a $25^\\circ$ angle.**\n\n[[☃ interactive-graph 1]]\n\n\n\n\n\n\n\n\n\n","images":{"https://ka-perseus-images.s3.amazonaws.com/004d5d51e040e2c4a11f270c84c52565546ed40a.png":{"height":125,"width":211},"https://ka-perseus-images.s3.amazonaws.com/1e10c080541ebc2aec4b2e8dc055d66b3468d783.png":{"height":179,"width":375}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[6.2543496566244565,3.6109504578581726],[0,0],[4.288969718228789,6.125283554065734]],"match":"congruent","showAngles":false,"snapDegrees":5,"type":"angle"},"graph":{"showAngles":false,"snapDegrees":5,"type":"angle"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":true,"showRuler":false,"showTooltips":false,"snapStep":[0.5,0.5],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/64/604877779a9d.json b/data/questions/ff/64/604877779a9d.json new file mode 100644 index 0000000000..62b1a932e5 --- /dev/null +++ b/data/questions/ff/64/604877779a9d.json @@ -0,0 +1 @@ +{"content":"**Click on the graph to draw a trapezoid with right angles at $(-6,6)$ and $(-6,-2)$, another vertex at $(2,-2)$, and a side $10$ units long that is parallel to the $x$-axis.** \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[-6,-2],[2,-2],[4,6],[-6,6]],"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","showSides":true,"snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/7e/00d174c4e7a8.json b/data/questions/ff/7e/00d174c4e7a8.json new file mode 100644 index 0000000000..2b7d7f36cd --- /dev/null +++ b/data/questions/ff/7e/00d174c4e7a8.json @@ -0,0 +1 @@ +{"content":"**A complex number $z_1$ is plotted below. Plot its complex conjugate, $\\bar{z_1}$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":430,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/90c845db102f972576f23b65db44ebad9617b96e","width":430},"correct":{"coords":[[-6,6]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,1],"labels":["□","□"],"markings":"none","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/81/febc61b914af.json b/data/questions/ff/81/febc61b914af.json new file mode 100644 index 0000000000..d6b9605b8d --- /dev/null +++ b/data/questions/ff/81/febc61b914af.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$g(x)=\\dfrac{1}{5}x^2-2x-1$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[5,-6],[0,-1]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/88/e02cca7a6077.json b/data/questions/ff/88/e02cca7a6077.json new file mode 100644 index 0000000000..0d13aec40b --- /dev/null +++ b/data/questions/ff/88/e02cca7a6077.json @@ -0,0 +1 @@ +{"content":"The transformation $\\text E\\,\\vec{x}$ is defined by the following matrix.\n\n$\\text E = \\left[\\begin{array}{rr}4 & 2 \\\\ 0 & -2\\end{array}\\right]$\n\n**Plot the result of $\\text E\\,\\vec{v}$ for $\\vec{v}= \\left[\\begin{array}{r}5 \\\\ 0\\end{array}\\right]$.** \n\n[[☃ interactive-graph 1]]\n\n","images":{"web+graphie://ka-perseus-graphie.s3.amazonaws.com/37f9df0b8d270f9382366f78f802aba13a95ccc2":{"height":330,"width":330},"web+graphie://ka-perseus-graphie.s3.amazonaws.com/954c4d1f5316d982f54b1e89e49059f21b2e35f1":{"height":330,"width":330}},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/1fd22958a7cc503c616c1673d450ff8853fd1611","width":425},"correct":{"coords":[[[0,0],[20,0]]],"type":"segment"},"graph":{"type":"segment"},"gridStep":[5,5],"labels":["ẍẋ","ý"],"markings":"none","range":[[-25,25],[-25,25]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[5,5],"step":[5,5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/8b/e22e5763e176.json b/data/questions/ff/8b/e22e5763e176.json new file mode 100644 index 0000000000..2419a22868 --- /dev/null +++ b/data/questions/ff/8b/e22e5763e176.json @@ -0,0 +1 @@ +{"content":"**Graph $x=4$.**\n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/fea3ed7fed4d011b0f933fa6e4eda91bfcdc9464","width":425},"correct":{"coords":[[4,4],[4,-2]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"none","range":[[-7,7],[-7,7]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/95/dfda8ae38f52.json b/data/questions/ff/95/dfda8ae38f52.json new file mode 100644 index 0000000000..75699423a9 --- /dev/null +++ b/data/questions/ff/95/dfda8ae38f52.json @@ -0,0 +1 @@ +{"content":"crwdns4069878:0crwdne4069878:0","images":{},"widgets":{"interactive-graph 2":{"alignment":"default","graded":true,"options":{"backgroundImage":{"height":425,"url":"web+graphie://ka-perseus-graphie.s3.amazonaws.com/d95269bb6dc4b738cb7037f78346970bcd5379ef","width":425},"correct":{"coords":[[-3,4],[-3,3]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"none","range":[[-8,8],[-8,8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/98/db4dc611fe9b.json b/data/questions/ff/98/db4dc611fe9b.json new file mode 100644 index 0000000000..d17664bc71 --- /dev/null +++ b/data/questions/ff/98/db4dc611fe9b.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-3(x+1)^2+5$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[-1,5],[0,2]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["x","y"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/9e/e058ffbc9122.json b/data/questions/ff/9e/e058ffbc9122.json new file mode 100644 index 0000000000..6db1d4f660 --- /dev/null +++ b/data/questions/ff/9e/e058ffbc9122.json @@ -0,0 +1 @@ +{"content":"crwdns5571995:0crwdne5571995:0","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["linear"],"correct":{"coords":[[0,8],[-4,0]],"type":"linear"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/cf/3bdd2d589be9.json b/data/questions/ff/cf/3bdd2d589be9.json new file mode 100644 index 0000000000..891fe8c293 --- /dev/null +++ b/data/questions/ff/cf/3bdd2d589be9.json @@ -0,0 +1 @@ +{"content":"Graph the line that represents a proportional relationship between $d$ and $t$ with the property that an increase of $3$ units in $t$ corresponds to an increase of $4$ units in $d$.\n \n**What is the unit rate of change of $d$ with respect to $t$? ** (That is, a change of $1$ unit in $t$ will correspond to a change of how many units in $d$?) \n\nThe unit rate is [[☃ input-number 1]] .\n\n**Graph the relationship.**\n\n[[☃ interactive-graph 1]]\n\n\n","images":{},"widgets":{"input-number 1":{"alignment":"default","graded":true,"options":{"answerType":"number","inexact":false,"maxError":0.1,"simplify":"required","size":"small","value":"1.3333333333333333"},"type":"input-number","version":{"major":0,"minor":0}},"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"bottom":"1","height":0,"left":"0","scale":1,"url":"","width":0},"correct":{"coords":[[0,0],[3,4]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["t","d"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/d7/6a6c0a6222f9.json b/data/questions/ff/d7/6a6c0a6222f9.json new file mode 100644 index 0000000000..2aef7106b6 --- /dev/null +++ b/data/questions/ff/d7/6a6c0a6222f9.json @@ -0,0 +1 @@ +{"content":"crwdns3457595:0$(x-3)crwdne3457595:0","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"center":[3,7],"radius":2,"type":"circle"},"graph":{"type":"circle"},"gridStep":[1,1],"labels":["crwdns2648390:0crwdne2648390:0","crwdns3083011:0crwdne3083011:0"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/d9/9639609db579.json b/data/questions/ff/d9/9639609db579.json new file mode 100644 index 0000000000..c085bcdc59 --- /dev/null +++ b/data/questions/ff/d9/9639609db579.json @@ -0,0 +1 @@ +{"content":"**Graph $y=1.4x$.**\n\n[[☃ interactive-graph 1]]\n\n\n\n**Which of the following statements are true?**\n\n\n\n[[☃ radio 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"left":0,"scale":1,"url":""},"correct":{"coords":[[0,0],[5,7]],"type":"linear"},"graph":{"type":"linear"},"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph","version":{"major":0,"minor":0}},"radio 1":{"graded":true,"options":{"choices":[{"content":"ŤŢĥȟéè éèʠúùáàťțíìóòńň ŕřéèṕṗŕřéèśŝéèńňťțśŝ áà ṕṗŕřóòṕṗóòŕřťțíìóòńňáàĺľ ŕřéèĺľáàťțíìóòńňśŝĥȟíìṕṗ.","correct":true},{"content":"The unit rate of change of $y$ with respect to $x$ is $1.4$.\n","correct":true},{"content":"The slope of the line is $\\dfrac{5}{7}$ .","correct":false},{"content":" A change of $2$ units in $x$ results in a change of $2.8$ units in $y$.","correct":true},{"content":" A change of $3$ units in $x$ results in a change of $1.2$ units in $y$.","correct":false}],"displayCount":null,"multipleSelect":true,"noneOfTheAbove":false,"onePerLine":true,"randomize":false},"type":"radio","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/e3/fa970c4e5651.json b/data/questions/ff/e3/fa970c4e5651.json new file mode 100644 index 0000000000..b9134dba53 --- /dev/null +++ b/data/questions/ff/e3/fa970c4e5651.json @@ -0,0 +1 @@ +{"content":"A doctor studying nutrition collected data on the heights (in meters) of children in America. The table below shows the mean heights for children of different ages in the study.\n \n**Plot the data in a scatter plot.** \n \n||||||\n:-- | --: | --: | --: | --: | --: | --: | --: | --: | --: | --: \n**Age (years)** | $5$ | $6$ | $8$ | $10$ | $12$ \n**Height (meters)** | $1.1$ | $1.2$ | $1.3$ | $1.4$ | $1.5$\n\n \n\n[[☃ interactive-graph 1]]\n\n","images":{},"widgets":{"interactive-graph 1":{"alignment":"default","graded":true,"options":{"backgroundImage":{"url":""},"correct":{"coords":[[5,1.1],[6,1.2000000000000002],[8,1.3],[10,1.4000000000000001],[12,1.5]],"numPoints":"unlimited","type":"point"},"graph":{"numPoints":"unlimited","type":"point"},"gridStep":[1,0.1],"labels":["$\\text{Age}$","$\\text{Height}$"],"markings":"graph","range":[[-1,13],[-0.2,1.8]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,0.1],"step":[1,0.5]},"static":false,"type":"interactive-graph","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/eb/74fa9f652424.json b/data/questions/ff/eb/74fa9f652424.json new file mode 100644 index 0000000000..936af6ff5a --- /dev/null +++ b/data/questions/ff/eb/74fa9f652424.json @@ -0,0 +1 @@ +{"content":"**Graph the function.**\n\n$f(x)=-2(x-1)^2+8$\n\n[[☃ grapher 1]]","images":{},"widgets":{"grapher 1":{"alignment":"default","graded":true,"options":{"availableTypes":["quadratic"],"correct":{"coords":[[1,8],[0,6]],"type":"quadratic"},"graph":{"backgroundImage":{"url":""},"editableSettings":["graph","snap","image"],"gridStep":[1,1],"labels":["ẍẋ","ý"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"showTooltips":false,"snapStep":[1,1],"step":[1,1],"valid":true}},"static":false,"type":"grapher","version":{"major":0,"minor":0}}}} diff --git a/data/questions/ff/f8/a65d6b6a72eb.json b/data/questions/ff/f8/a65d6b6a72eb.json new file mode 100644 index 0000000000..d9c78300a7 --- /dev/null +++ b/data/questions/ff/f8/a65d6b6a72eb.json @@ -0,0 +1 @@ +{"content":"**Click on the graph below to create a pentagon with vertices at the following points.** \n\n$(−7.5, 0), (0,6.5), (6.5,0), (0, -4.5), (−5.5, -3.5)$ \n\n[[☃ interactive-graph 1]]","images":{},"widgets":{"interactive-graph 1":{"graded":true,"options":{"backgroundImage":{"bottom":0,"height":0,"left":0,"scale":1,"url":"","width":0},"correct":{"coords":[[-7.5,0],[0,6.5],[6.5,0],[0,-4.5],[-5.5,-3.5]],"numSides":"unlimited","snapTo":"grid","type":"polygon"},"graph":{"numSides":"unlimited","snapTo":"grid","type":"polygon"},"gridStep":[1,1],"labels":["□","□"],"markings":"graph","range":[[-10,10],[-10,10]],"rulerLabel":"","rulerTicks":10,"showProtractor":false,"showRuler":false,"snapStep":[0.5,0.5],"step":[1,1]},"type":"interactive-graph"}}} From 6a63ab929469d645501d5a01dfd4e8f519139977 Mon Sep 17 00:00:00 2001 From: Ben Christel Date: Wed, 16 Oct 2024 17:03:17 -0700 Subject: [PATCH 2/2] Add shabang to data/extract-graph-questions.sh --- data/extract-graph-questions.sh | 1 + 1 file changed, 1 insertion(+) diff --git a/data/extract-graph-questions.sh b/data/extract-graph-questions.sh index 8f09a19cf0..ed00fb6fad 100755 --- a/data/extract-graph-questions.sh +++ b/data/extract-graph-questions.sh @@ -1,3 +1,4 @@ +#!/bin/bash # This script combs through Perseus JSON looking for questions that contain an # Interactive Graph or Grapher widget. It writes each such question to a # separate file in the `questions` directory. Each file is named after the