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The key provides the computed rate of change values for each numbered item, and includes additional student-version equations for the same skill 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|  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>3)\u003Cbr>5)\u003Cbr>7)\u003Cbr>9) | Y=9×X+(X×-1) 2)\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>\u003Cbr>Y=X×3 4)\u003Cbr>\u003Cbr>\u003Cbr>Y=X+3\u003Cbr>\u003Cbr>Y=-X\u003Cbr>\u003Cbr>Y=8×X×8\u003Cbr>\u003Cbr>6)\u003Cbr>8)\u003Cbr>10) | Y=X-8\u003Cbr>\u003Cbr>Y=2×X-(X+2)\u003Cbr>\u003Cbr>Y=7×X\u003Cbr>\u003Cbr>Y=4×X-(X-8)\u003Cbr>\u003Cbr>Y=5×X+8\u003Cbr> |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |  |  |\n| 1-10 |  |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nIdentifying Rate of Change (Equations)  \nName: Answer Key  \n\n| Identify the rate of change.\u003Cbr>1) Y=9×X+(X×-1)\u003Cbr>X Y ROC -1 -8 8 0 0 8 1 8 8 2 16 8\u003Cbr>3) Y=X×3\u003Cbr>X Y ROC -1 -3 3 0 0 3 1 3 3 2 6 3\u003Cbr>5) Y=X+3\u003Cbr>X Y ROC -1 2 1 0 3 1 1 4 1 2 5 1\u003Cbr>7) Y=-X\u003Cbr>X Y ROC -1 1 -1 0 0 -1 1 -1 -1 2 -2 -1\u003Cbr>9) Y=8×X×8\u003Cbr>X Y ROC -1 -64 64 0 0 64 1 64 64 2 128 64 | 2) Y=X-8\u003Cbr>X Y ROC -1 -9 1 0 -8 1 1 -7 1 2 -6 1\u003Cbr>4) Y=2×X-(X+2)\u003Cbr>X Y ROC -1 -3 1 0 -2 1 1 -1 1 2 0 1\u003Cbr>6) Y=7×X\u003Cbr>X Y ROC -1 -7 7 0 0 7 1 7 7 2 14 7\u003Cbr>8) Y=4×X-(X-8)\u003Cbr>X Y ROC -1 5 3 0 8 3 1 11 3 2 14 3\u003Cbr>10) Y=5×X+8\u003Cbr>X Y ROC -1 3 5 0 8 5 1 13 5 2 18 5 |  |  |  |  | Answers 1.  8  2.  1  3.  3  4.  1  5.  1  6.  7  7.  1  8.  3  9.  64  10.  5  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nIdentifying Rate of Change (Equations)  \nName:  \n\n| Identify the rate of change. | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- |\n| \u003Cbr>1 8 1 1 3 7\u003Cbr>1) Y=9×X+(X×-1) 2) Y=X-8\u003Cbr>\u003Cbr>3) Y=X×3 4) Y=2×X-(X+2)\u003Cbr>\u003Cbr>5) Y=X+3 6) Y=7×X\u003Cbr> |  |  |  |  |  |  |\n| 1-6 | 83 | 67 | 50 | 33 | 17 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1","cbCaisrfif6nHxd0","https://ap.wps.com/l/cbCaisrfif6nHxd0","pdf",51285,"English","# Identify the rate of change\n## Problems and equations\n## Answer key","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"Identify the rate of change (slope) for each numbered equation.\"},{\"question\":\"Which types of equations appear in the problems?\",\"answer\":\"The worksheet includes linear equations written in different equivalent forms, such as Y=X+3, Y=-X, Y=7×X, and expressions like Y=4×X-(X-8).\"},{\"question\":\"Where can the correct rate of change answers be found?\",\"answer\":\"The document includes an “Answer Key” section that lists the rate of change for items 1 through 10.\"}]","Identifying Rate of Change (Equations) - Answer Key | PDF"]