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The task is to infer that rule to fill in the missing digit.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How do students find the missing digit?",{"text":67,"@type":63},"They examine the given input and output values to determine the operation pattern, such as add, subtract, multiply, or divide by a fixed number. 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function machine. |  |  |  |  |  |  |  |  |  |  |  |  |  |  | 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 36 6 48 8 24 30 5 54 9\u003Cbr>\u003Cbr>Input \u003Cbr>Output 5 3 9 4 2 8 6 11 9 |  |  | 2)\u003Cbr>5) | \u003Cbr>Input \u003Cbr>Output 8 6 48 7 56 2 16 10 80\u003Cbr>\u003Cbr>Input \u003Cbr>Output 11 10 7 13 10 12 9 5 2 |  |  | 3)\u003Cbr>6) | \u003Cbr>Input \u003Cbr>Output 8 56 5 35 9 63 6 42 21\u003Cbr>\u003Cbr>Input \u003Cbr>Output 14 9 7 2 15 10 8 13 8 |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) |  | \u003Cbr>Input 10 4 6 2 \u003Cbr>Output 24 21 18 20 16 |  |  |  | 8) | \u003Cbr>Input 20 4 16 8 \u003Cbr>Output 10 2 6 8 4 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) |  | \u003Cbr>Input 17 15 13 14 10 \u003Cbr>Output 10 8 7 3 |  |  |  | 10) | \u003Cbr>Input 6 8 5 7 \u003Cbr>Output 36 12 48 30 42 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) |  | \u003Cbr>Input 45 30 20 10 25 \u003Cbr>Output 9 6 4 5 |  |  |  | 12) | \u003Cbr>Input 6 10 8 4 \u003Cbr>Output 26 30 28 29 24 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math |  |  | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  |  |  |  | 5 |  | 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: Div by 6 Rule: Mult by 8 Rule: Mult by 7 |  |  |  |  |  |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  4  2.  64  3.  3 \u003Cbr>4. 7 |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 4) | \u003Cbr>Input \u003Cbr>Output 5 3 9 7 4 2 8 6 11 9\u003Cbr>Rule: Sub 2 |  |  | 5) | \u003Cbr>Input \u003Cbr>Output 11 8 10 7 13 10 12 9 5 2\u003Cbr>Rule: Sub 3 |  |  | 6) | \u003Cbr>Input \u003Cbr>Output 14 9 7 2 15 10 8 3 13 8\u003Cbr>Rule: Sub 5 |  |  |  |  | 5.  8  6.  3  7.  7 \u003Cbr>8. 12 |  |  |  |  |  |\n| 7) |  | \u003Cbr>Input 10 7 4 6 2 \u003Cbr>Output 24 21 18 20 16\u003Cbr>Rule: Add 14 |  |  |  | 8) | \u003Cbr>Input 20 4 12 16 8 \u003Cbr>Output 10 2 6 8 4\u003Cbr>Rule: Div by 2 |  |  |  |  |  |  | 9.  6  10.  2  |  |  |  |  |  |\n| 9)\u003Cbr>\u003Cbr>Input 17 15 13 14 10 \u003Cbr>Output 10 8 6 7 3\u003Cbr>Rule: Sub 7\u003Cbr>10)\u003Cbr>\u003Cbr>Input 6 2 8 5 7 \u003Cbr>Output 36 12 48 30 42\u003Cbr>Rule: Mult by 6 |  |  |  |  |  |  |  |  |  |  |  |  |  | 11.  2  12.  9  |  |  |  |  |  |\n| 11)\u003Cbr>\u003Cbr>Input 45 30 20 10 25 \u003Cbr>Output 9 6 4 2 5\u003Cbr>Rule: Div by 5\u003Cbr>12)\u003Cbr>\u003Cbr>Input 6 10 8 9 4 \u003Cbr>Output 26 30 28 29 24\u003Cbr>Rule: Add 20 |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math |  |  | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) |  |  |  |  | 5 | 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| 7 7 3 64 8 3 12 4 |  |  |  |  |  |  |  |  |  |  |  |\n| 1) | |  |  |  |  |  |  |  |  |  |  |\n| 4) | |  |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>Input 10 4 6 2 \u003Cbr>Output 24 21 18 20 16 | 8) | \u003Cbr>Input 20 4 16 8 \u003Cbr>Output 10 2 6 8 4 |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  | 88 | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n5","cbCaifkD1J50S44C","https://ap.wps.com/l/cbCaifkD1J50S44C","pdf",73451,"English","# Determine the Missing Digit\n## Identify the Rule from Input and Output\n## Use Operations to Match the Output","[{\"question\":\"What is a function machine in these problems?\",\"answer\":\"A function machine takes an input number set and produces an output set using a single consistent rule. The task is to infer that rule to fill in the missing digit.\"},{\"question\":\"How do students find the missing digit?\",\"answer\":\"They examine the given input and output values to determine the operation pattern, such as add, subtract, multiply, or divide by a fixed number. Then they apply the same rule to the blank case.\"},{\"question\":\"What types of rules are used in the answer key?\",\"answer\":\"The answer key lists rules like “Div by 6,” “Mult by 8,” “Mult by 7,” “Sub 2,” “Sub 3,” “Sub 5,” “Add 14,” “Div by 2,” and other related operations.\"}]","Function Machines - Filling in Missing Digit - Math Practice | PDF",1790793952]