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Learners use given “input” sequences and corresponding “output” sequences to infer the underlying rule, such as multiplying by a constant, subtracting a fixed number, adding a fixed number, or dividing by a constant. 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is the goal when solving a function machine problem?","Question",{"text":112,"@type":113},"Determine the number that correctly fills in the blank by using the input-to-output pattern shown in the function machine.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do you find the rule used by each function machine?",{"text":117,"@type":113},"Compare the input and output values, then infer whether the rule is multiplying, subtracting, adding, or dividing by a constant.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answer key provide?",{"text":121,"@type":113},"The answer key supplies the correct filled-in answers and states the exact rule (e.g., “Mult by 6,” “Sub 16,” “Add 7,” or “Div by 5”) for each 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| Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>4) | \u003Cbr>Input \u003Cbr>Output 5 45 7 63 2 9 81 4 36\u003Cbr>\u003Cbr>Input \u003Cbr>Output 8 48 3 18 7 42 36 2 12 |  |  | 2)\u003Cbr>5) | \u003Cbr>Input \u003Cbr>Output 23 3 27 7 28 29 9 25 5\u003Cbr>\u003Cbr>Input \u003Cbr>Output 5 10 8 9 18 10 20 2 4 |  |  | 3)\u003Cbr>6) | \u003Cbr>Input \u003Cbr>Output 3 72 9 48 6 16 2 80 10\u003Cbr>\u003Cbr>Input \u003Cbr>Output 5 17 3 15 6 18 16 2 14 |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) |  | \u003Cbr>Input 19 13 20 18 \u003Cbr>Output 8 2 10 9 7 |  |  |  | 8) | \u003Cbr>Input 6 10 4 7 \u003Cbr>Output 42 21 70 28 49 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) |  | \u003Cbr>Input 25 21 18 26 \u003Cbr>Output 9 6 5 2 10 |  |  |  | 10) | \u003Cbr>Input 10 6 2 8 5 \u003Cbr>Output 13 9 15 12 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) |  | \u003Cbr>Input 8 5 3 10 \u003Cbr>Output 21 18 15 16 23 |  |  |  | 12) | \u003Cbr>Input 50 30 20 25 40 \u003Cbr>Output 10 6 5 8 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math |  |  | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  |  |  |  | 7 |  | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 |  | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  |  |  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nFunction Machines-Filling in Missing Digit  \nName: Answer Key  \n\n| Determine the number that correctly fills in the blank in the function machine.\u003Cbr>\u003Cbr>Rule: Mult by 9 Rule: Sub 20 Rule: Div by 8 |  |  |  |  |  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  18  2.  8  3.  24 \u003Cbr>4. 6 |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 4) | \u003Cbr>Input \u003Cbr>Output 8 48 3 18 7 42 6 36 2 12\u003Cbr>Rule: Mult by 6 |  |  | 5) | \u003Cbr>Input \u003Cbr>Output 5 10 4 8 9 18 10 20 2 4\u003Cbr>Rule: Mult by 2 |  |  | 6) | \u003Cbr>Input \u003Cbr>Output 5 17 3 15 6 18 4 16 2 14\u003Cbr>Rule: Add 12 |  |  |  |  | 5.  4  6.  4  7.  21 \u003Cbr>8. 3 |  |  |  |  |  |\n| 7)\u003Cbr>\u003Cbr>Input 19 13 21 20 18 \u003Cbr>Output 8 2 10 9 7\u003Cbr>Rule: Sub 11\u003Cbr>8)\u003Cbr>\u003Cbr>Input 6 3 10 4 7 \u003Cbr>Output 42 21 70 28 49\u003Cbr>Rule: Mult by 7 |  |  |  |  |  |  |  |  |  |  |  |  |  | 9.  22  10.  17  |  |  |  |  |  |\n| 9) |  | \u003Cbr>Input 25 22 21 18 26 \u003Cbr>Output 9 6 5 2 10\u003Cbr>Rule: Sub 16 |  |  |  | 10) | \u003Cbr>Input 10 6 2 8 5 \u003Cbr>Output 17 13 9 15 12\u003Cbr>Rule: Add 7 |  |  |  |  |  |  | 11.  2  12.  4  |  |  |  |  |  |\n| 11)\u003Cbr>\u003Cbr>Input 8 5 2 3 10 \u003Cbr>Output 21 18 15 16 23\u003Cbr>Rule: Add 13\u003Cbr>12)\u003Cbr>\u003Cbr>Input 50 30 20 25 40 \u003Cbr>Output 10 6 4 5 8\u003Cbr>Rule: Div by 5 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math |  |  | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  |  |  |  | 7 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  |  |  |  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nFunction Machines-Filling in Missing Digit  \nName:  \n\n| Determine the number that correctly fills in the blank in the function machine. |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 6 18 8 4 3 4 21 24 |  |  |  |  |  |  |  |  |  |  |  |\n| 1) | |  |  |  |  |  |  |  |  |  |  |\n| 4) | |  |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>Input 19 13 20 18 \u003Cbr>Output 8 2 10 9 7 | 8) | \u003Cbr>Input 6 10 4 7 \u003Cbr>Output 42 21 70 28 49 |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7","cbCaiob7vVoE0yS3","https://ap.wps.com/l/cbCaiob7vVoE0yS3","pdf",73451,"English","# Determine the number that fills the blank\n## Rule types (mult, sub, div, add)","[{\"question\":\"What is the goal when solving a function machine problem?\",\"answer\":\"Determine the number that correctly fills in the blank by using the input-to-output pattern shown in the function machine.\"},{\"question\":\"How do you find the rule used by each function machine?\",\"answer\":\"Compare the input and output values, then infer whether the rule is multiplying, subtracting, adding, or dividing by a constant.\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key supplies the correct filled-in answers and states the exact rule (e.g., “Mult by 6,” “Sub 16,” “Add 7,” or “Div by 5”) for each problem.\"}]","Function Machines - Filling in Missing Digit - Answer Key | PDF",1790793955]