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Ten problems present sets of inputs and corresponding outputs, each paired with multiple-choice algebraic expressions using a placeholder variable. The answer key provides the selected option letter for each problem, supporting verification of reasoning and strengthening skills in reading function behavior, applying order of operations, and distinguishing between addition, subtraction, multiplication, and compound operations.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/finding-rule-w-two-steps-worksheet-answer-key/479293/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/finding-rule-w-two-steps-worksheet-answer-key/479293.png","ImageObject",300,407,{"name":92,"@type":93},"Elsa","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do you choose the correct rule for the function machine?","Question",{"text":112,"@type":113},"Compare each given input and output pair, then test which algebraic expression produces the outputs. Use the answer choices that fit the two-step pattern described by the data.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of expressions appear as answer options?",{"text":117,"@type":113},"Options combine a variable with operations such as addition, subtraction, and multiplication, sometimes in multi-step forms like multiplication followed by addition or subtraction.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answer key provide?",{"text":121,"@type":113},"The answer key lists the correct choice for each problem from 1 to 10, allowing quick checking of the selected rule.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},479293,1793061698,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":143,"read_time":39},137455077381,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Finding Rule w/ Two Steps  \nName:  \n\n| Determine which rule best represents the expression the function machine used. |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | \u003Cbr>Input 2 7 6 9 8 \u003Cbr>Output 5 10 9 12 11 |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.   |  |  |  |\n| A. T + 3 B. T × 8 + 6 C. T × 2-6 D. T × 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | \u003Cbr>Input 8 7 6 9 2 \u003Cbr>Output 80 70 60 90 20 |  |  |  |  |  |  |  |  |  |  |\n| A. V × 10 + 6 B. V × 10-10 C. V × 10 D. V + 10 |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | \u003Cbr>Input 8 7 6 9 2 \u003Cbr>Output 46 39 32 53 4 |  |  |  |  |  |  |  |  |  |  |\n| A. G × 10 B. G × 7-10 C. G × 10 + 10 D. G + 10 |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | \u003Cbr>Input 7 2 8 9 6 \u003Cbr>Output 72 22 82 92 62 |  |  |  |  |  |  |  |  |  |  |\n| A. Y × 10 + 2 B. Y × 14 + 2 C. Y × 9-2 D. Y × 10-3 |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | \u003Cbr>Input 2 7 8 6 9 \u003Cbr>Output 12 27 30 24 33 |  |  |  |  |  |  |  |  |  |  |\n| A. R × 6 B. R × 7 + 6 C. R × 3 + 6 D. R + 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | \u003Cbr>Input 8 6 7 2 9 \u003Cbr>Output 78 58 68 18 88 |  |  |  |  |  |  |  |  |  |  |\n| A. F × 11-2 B. F × 10 + 1 C. F + 10 D. F × 10-2 |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>Input 2 6 9 7 8 \u003Cbr>Output 7 11 14 12 13 |  |  |  |  |  |  |  |  |  |  |\n| A. U + 5 B. U × 7-10 C. U + 10 D. U × 5 + 13 |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | \u003Cbr>Input 17 18 19 16 12 \u003Cbr>Output 7 8 9 6 2 |  |  |  |  |  |  |  |  |  |  |\n| A. H + 10 B. H-10 C. H × 10 D. H × 14 + 9 |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | \u003Cbr>Input 2 9 6 7 8 \u003Cbr>Output 8 36 24 28 32 |  |  |  |  |  |  |  |  |  |  |\n| A. Q × 4 + 5 B. Q × 4 C. Q × 9 + 6 D. Q + 4 |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | \u003Cbr>Input 13 15 16 9 14 \u003Cbr>Output 6 8 9 2 7 |  |  |  |  |  |  |  |  |  |  |\n| A. Z × 9 + 9 B. Z × 7 + 8 C. Z × 7 D. Z-7 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 8)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 8)[ 8](Math www.CommonCoreSheets.com 8)  \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 2 7 6 9 8 \u003Cbr>Output 5 10 9 12 11 |  |  |  |  |  |  | 1.  A \u003Cbr>2.  C \u003Cbr>3.  B \u003Cbr>4.  A \u003Cbr>5.  C \u003Cbr>6.  D \u003Cbr>7.  A \u003Cbr>8.  B \u003Cbr>9.  B \u003Cbr>10.  D  |  |  |  |\n| A. T + 3 B. T × 8 + 6 C. T × 2-6 D. T × 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 2) | \u003Cbr>Input 8 7 6 9 2 \u003Cbr>Output 80 70 60 90 20 |  |  |  |  |  |  |  |  |  |  |\n| A. V × 10 + 6 B. V × 10-10 C. V × 10 D. V + 10 |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | \u003Cbr>Input 8 7 6 9 2 \u003Cbr>Output 46 39 32 53 4 |  |  |  |  |  |  |  |  |  |  |\n| A. G × 10 B. G × 7-10 C. G × 10 + 10 D. G + 10 |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | \u003Cbr>Input 7 2 8 9 6 \u003Cbr>Output 72 22 82 92 62 |  |  |  |  |  |  |  |  |  |  |\n| A. Y × 10 + 2 B. Y × 14 + 2 C. Y × 9-2 D. Y × 10-3 |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | \u003Cbr>Input 2 7 8 6 9 \u003Cbr>Output 12 27 30 24 33 |  |  |  |  |  |  |  |  |  |  |\n| A. R × 6 B. R × 7 + 6 C. R × 3 + 6 D. R + 6 |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | \u003Cbr>Input 8 6 7 2 9 \u003Cbr>Output 78 58 68 18 88 |  |  |  |  |  |  |  |  |  |  |\n| A. F × 11-2 B. F × 10 + 1 C. F + 10 D. F × 10-2 |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>Input 2 6 9 7 8 \u003Cbr>Output 7 11 14 12 13 |  |  |  |  |  |  |  |  |  |  |\n| A. U + 5 B. U × 7-10 C. U + 10 D. U × 5 + 13 |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | \u003Cbr>Input 17 18 19 16 12 \u003Cbr>Output 7 8 9 6 2 |  |  |  |  |  |  |  |  |  |  |\n| A. H + 10 B. H-10 C. H × 10 D. H × 14 + 9 |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | \u003Cbr>Input 2 9 6 7 8 \u003Cbr>Output 8 36 24 28 32 |  |  |  |  |  |  |  |  |  |  |\n| A. Q × 4 + 5 B. Q × 4 C. Q × 9 + 6 D. Q + 4 |  |  |  | ","cbCaindSpCq0hlUh","https://ap.wps.com/l/cbCaindSpCq0hlUh","pdf",68257,"English","# Determine the function rule\n## Problem 1-10","[{\"question\":\"How do you choose the correct rule for the function machine?\",\"answer\":\"Compare each given input and output pair, then test which algebraic expression produces the outputs. Use the answer choices that fit the two-step pattern described by the data.\"},{\"question\":\"What kinds of expressions appear as answer options?\",\"answer\":\"Options combine a variable with operations such as addition, subtraction, and multiplication, sometimes in multi-step forms like multiplication followed by addition or subtraction.\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key lists the correct choice for each problem from 1 to 10, allowing quick checking of the selected rule.\"}]","Finding Rule w/ Two Steps - Worksheet Answer Key | PDF",1790793074]