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An answer key lists the selected option for each problem so learners can verify their reasoning.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/finding-rule-w-two-steps-answer-key-479290/479290/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/finding-rule-w-two-steps-answer-key-479290/479290.png","ImageObject",300,407,{"name":42,"@type":43},"Elsa","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":33},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"How do you choose the correct rule for each function machine problem?","Question",{"text":62,"@type":63},"Match the given input numbers to the output numbers by testing which rule explains both steps of the transformation. 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G × 2 + 9 B. G × 9 C. G × 2 + 12 D. G × 2 |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | \u003Cbr>Input 9 7 4 3 8 \u003Cbr>Output 11 9 6 5 10 |  |  |  |  |  |  |  |  |  |  |\n| A. F × 2 + 12 B. F + 2 C. F × 7 + 10 D. F × 2 |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | \u003Cbr>Input 3 8 4 9 7 \u003Cbr>Output 10 20 12 22 18 |  |  |  |  |  |  |  |  |  |  |\n| A. J + 2 B. J × 2 + 7 C. J × 4 D. J × 2 + 4 |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | \u003Cbr>Input 4 3 8 7 9 \u003Cbr>Output 24 18 48 42 54 |  |  |  |  |  |  |  |  |  |  |\n| A. K × 3 B. K × 8-3 C. K × 6 D. K + 3 |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | \u003Cbr>Input 7 9 3 8 4 \u003Cbr>Output 23 27 15 25 17 |  |  |  |  |  |  |  |  |  |  |\n| A. V × 9 B. V × 3-9 C. V × 2 + 9 D. V + 2 |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | \u003Cbr>Input 15 14 10 9 13 \u003Cbr>Output 9 8 4 3 7 |  |  |  |  |  |  |  |  |  |  |\n| A. Z × 9 B. Z-6 C. Z + 6 D. Z × 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>Input 3 8 4 9 7 \u003Cbr>Output 5 10 6 11 9 |  |  |  |  |  |  |  |  |  |  |\n| A. T × 5-9 B. T + 2 C. T × 5 + 9 D. T × 9 |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | \u003Cbr>Input 4 3 9 7 8 \u003Cbr>Output 11 6 36 26 31 |  |  |  |  |  |  |  |  |  |  |\n| A. Q × 9 B. Q × 6-9 C. Q × 5-10 D. Q × 5-9 |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | \u003Cbr>Input 4 3 7 9 8 \u003Cbr>Output 40 30 70 90 80 |  |  |  |  |  |  |  |  |  |  |\n| A. M × 12-7 B. M × 10 C. M × 10-8 D. M + 10 |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | \u003Cbr>Input 18 17 14 13 19 \u003Cbr>Output 8 7 4 3 9 |  |  |  |  |  |  |  |  |  |  |\n| A. H × 9 B. H-10 C. H + 9 D. H × 12-9 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 5)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 5)[ 5](Math www.CommonCoreSheets.com 5)  \nFinding Rule w/ Two Steps  \nName: Answer Key  \n\n| Determine which rule best represents the expression the function machine used. |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | \u003Cbr>Input 8 7 3 9 4 \u003Cbr>Output 25 23 15 27 17 |  |  |  |  |  |  | 1.  A \u003Cbr>2.  B \u003Cbr>3.  D \u003Cbr>4.  C \u003Cbr>5.  C \u003Cbr>6.  B \u003Cbr>7.  B \u003Cbr>8.  D \u003Cbr>9.  B \u003Cbr>10.  B  |  |  |  |\n| A. G × 2 + 9 B. G × 9 C. G × 2 + 12 D. G × 2 |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | \u003Cbr>Input 9 7 4 3 8 \u003Cbr>Output 11 9 6 5 10 |  |  |  |  |  |  |  |  |  |  |\n| A. F × 2 + 12 B. F + 2 C. F × 7 + 10 D. F × 2 |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | \u003Cbr>Input 3 8 4 9 7 \u003Cbr>Output 10 20 12 22 18 |  |  |  |  |  |  |  |  |  |  |\n| A. J + 2 B. J × 2 + 7 C. J × 4 D. J × 2 + 4 |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | \u003Cbr>Input 4 3 8 7 9 \u003Cbr>Output 24 18 48 42 54 |  |  |  |  |  |  |  |  |  |  |\n| A. K × 3 B. K × 8-3 C. K × 6 D. K + 3 |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | \u003Cbr>Input 7 9 3 8 4 \u003Cbr>Output 23 27 15 25 17 |  |  |  |  |  |  |  |  |  |  |\n| A. V × 9 B. V × 3-9 C. V × 2 + 9 D. V + 2 |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | \u003Cbr>Input 15 14 10 9 13 \u003Cbr>Output 9 8 4 3 7 |  |  |  |  |  |  |  |  |  |  |\n| A. Z × 9 B. Z-6 C. Z + 6 D. Z × 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>Input 3 8 4 9 7 \u003Cbr>Output 5 10 6 11 9 |  |  |  |  |  |  |  |  |  |  |\n| A. T × 5-9 B. T + 2 C. T × 5 + 9 D. T × 9 |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | \u003Cbr>Input 4 3 9 7 8 \u003Cbr>Output 11 6 36 26 31 |  |  |  |  |  |  |  |  |  |  |\n| A. Q × 9 B. Q × 6-9 C. Q × 5-10 D. Q × 5-9 |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | \u003Cbr>Input 4 3 7 9 8 \u003Cbr>Output 40 30 70 90 80 |  |  |  |  |  |  |  |  |  |  |\n| A. M × 12-7 B. M × 10 C. M × 10-8 D. M + 10 |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | \u003Cbr>Input 18 17 14 13 19 \u003Cbr>Output 8 7 4","cbCaig2sL2bn10p0","https://ap.wps.com/l/cbCaig2sL2bn10p0","pdf",68258,"English","# Determine the Rule\n## Problems 1-10","[{\"question\":\"How do you choose the correct rule for each function machine problem?\",\"answer\":\"Match the given input numbers to the output numbers by testing which rule explains both steps of the transformation. Then select the option that produces the listed outputs.\"},{\"question\":\"What types of rule expressions appear in the answer choices?\",\"answer\":\"Choices use letter variables and operations such as multiplication, addition, and subtraction, often in forms like G × 2 + 9 or F × 2 and offset terms.\"},{\"question\":\"What is the purpose of the answer key in this worksheet?\",\"answer\":\"It provides the correct lettered option (A-D) for each problem from 1 through 10 so students can check their answers.\"}]","Finding Rule w/ Two Steps - Answer Key | PDF",1790793066]