[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-479303-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-479303-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","function-machine-determining-rule-determine-the-input-to-output-rule","Function Machine-Determining Rule - Determine the Input-to-Output Rule","","Function machine determining rule worksheet tasks learners to infer an unknown transformation from given input and output number sequences. For each problem, a set of “in” values maps to a list of “out” values, and students must choose which arithmetic rule using Q best matches. Answer options include addition, subtraction, multiplication, and division by specific constants. An answer key provides the correct choices for each item.",{"@graph":14,"@context":73},[15,34,56],{"@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/function-machine-determining-rule-determine-the-input-to-output-rule/479303/",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/function-machine-determining-rule-determine-the-input-to-output-rule/479303.png","ImageObject",300,407,{"name":42,"@type":43},"Elsa","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",5,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"How do you determine the rule for a function machine from “in” and “out” values?","Question",{"text":63,"@type":64},"Compare the pattern between the given “in” numbers and their corresponding “out” numbers. Then test which of the provided operations (+, -, ×, ÷) with the listed constant produces the observed outputs.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What answer choices are available for each question?",{"text":68,"@type":64},"Each question provides four options describing a possible rule for Q: Q + constant, Q - constant, Q × constant, or Q ÷ constant.",{"name":70,"@type":61,"acceptedAnswer":71},"What is the purpose of the answer key in the worksheet?",{"text":72,"@type":64},"The answer key lists the correct letter choice for each numbered problem, allowing students to verify their selected rules.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},479303,1792856278,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":55,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},137455077381,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Function Machine-Determining Rule  \nName:  \n\n| Determine which number sentence best matches the function machine.\u003Cbr>1)\u003Cbr>\u003Cbr>in \u003Cbr>out 50 41 51 42 42 33 44 35 59 50\u003Cbr>2)\u003Cbr>\u003Cbr>in \u003Cbr>out 30 22 52 44 25 17 29 21 43 35\u003Cbr>3)\u003Cbr>\u003Cbr>in \u003Cbr>out 25 34 42 51 50 59 36 45 17 26\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 9\u003Cbr>B. Q-9\u003Cbr>C. Q × 9\u003Cbr>D. Q ÷ 9\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 8\u003Cbr>B. Q-8\u003Cbr>C. Q × 8\u003Cbr>D. Q ÷ 8\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 9\u003Cbr>B. Q-9\u003Cbr>C. Q × 9\u003Cbr>D. Q ÷ 9\u003Cbr>4)\u003Cbr>\u003Cbr>in \u003Cbr>out 54 40 36 22 50 36 37 23 25 11\u003Cbr>5)\u003Cbr>\u003Cbr>in \u003Cbr>out 31 38 35 42 12 19 28 35 50 57\u003Cbr>6)\u003Cbr>\u003Cbr>in \u003Cbr>out 49 54 12 17 16 21 30 35 25 30\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 14\u003Cbr>B. Q-14\u003Cbr>C. Q × 14\u003Cbr>D. Q ÷ 14\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 7\u003Cbr>B. Q-7\u003Cbr>C. Q × 7\u003Cbr>D. Q ÷ 7\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 5\u003Cbr>B. Q-5\u003Cbr>C. Q × 5\u003Cbr>D. Q ÷ 5\u003Cbr>7)\u003Cbr>\u003Cbr>in \u003Cbr>out 25 11 28 14 34 20 45 31 58 44\u003Cbr>8)\u003Cbr>\u003Cbr>in \u003Cbr>out 32 44 43 55 48 60 47 59 26 38\u003Cbr>9)\u003Cbr>\u003Cbr>in \u003Cbr>out 25 12 60 47 26 13 57 44 61 48\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 14\u003Cbr>B. Q-14\u003Cbr>C. Q × 14\u003Cbr>D. Q ÷ 14\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 12\u003Cbr>B. Q-12\u003Cbr>C. Q × 12\u003Cbr>D. Q ÷ 12\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 13\u003Cbr>B. Q-13\u003Cbr>C. Q × 13\u003Cbr>D. Q ÷ 13 |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.   |  |  |  |\n| 1-9 | 89 | 78 | 67 | 56 | 44 | 33 | 22 | 11 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 6)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 6)[ 6](Math www.CommonCoreSheets.com 6)  \nFunction Machine-Determining Rule  \nName: Answer Key  \n\n| Determine which number sentence best matches the function machine.\u003Cbr>1)\u003Cbr>\u003Cbr>in \u003Cbr>out 50 41 51 42 42 33 44 35 59 50\u003Cbr>2)\u003Cbr>\u003Cbr>in \u003Cbr>out 30 22 52 44 25 17 29 21 43 35\u003Cbr>3)\u003Cbr>\u003Cbr>in \u003Cbr>out 25 34 42 51 50 59 36 45 17 26\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 9\u003Cbr>B. Q-9\u003Cbr>C. Q × 9\u003Cbr>D. Q ÷ 9\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 8\u003Cbr>B. Q-8\u003Cbr>C. Q × 8\u003Cbr>D. Q ÷ 8\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 9\u003Cbr>B. Q-9\u003Cbr>C. Q × 9\u003Cbr>D. Q ÷ 9\u003Cbr>4)\u003Cbr>\u003Cbr>in \u003Cbr>out 54 40 36 22 50 36 37 23 25 11\u003Cbr>5)\u003Cbr>\u003Cbr>in \u003Cbr>out 31 38 35 42 12 19 28 35 50 57\u003Cbr>6)\u003Cbr>\u003Cbr>in \u003Cbr>out 49 54 12 17 16 21 30 35 25 30\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 14\u003Cbr>B. Q-14\u003Cbr>C. Q × 14\u003Cbr>D. Q ÷ 14\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 7\u003Cbr>B. Q-7\u003Cbr>C. Q × 7\u003Cbr>D. Q ÷ 7\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 5\u003Cbr>B. Q-5\u003Cbr>C. Q × 5\u003Cbr>D. Q ÷ 5\u003Cbr>7)\u003Cbr>\u003Cbr>in \u003Cbr>out 25 11 28 14 34 20 45 31 58 44\u003Cbr>8)\u003Cbr>\u003Cbr>in \u003Cbr>out 32 44 43 55 48 60 47 59 26 38\u003Cbr>9)\u003Cbr>\u003Cbr>in \u003Cbr>out 25 12 60 47 26 13 57 44 61 48\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 14\u003Cbr>B. Q-14\u003Cbr>C. Q × 14\u003Cbr>D. Q ÷ 14\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 12\u003Cbr>B. Q-12\u003Cbr>C. Q × 12\u003Cbr>D. Q ÷ 12\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 13\u003Cbr>B. Q-13\u003Cbr>C. Q × 13\u003Cbr>D. Q ÷ 13 |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  | 1.  B \u003Cbr>2.  B \u003Cbr>3.  A \u003Cbr>4.  B \u003Cbr>5.  A \u003Cbr>6.  A \u003Cbr>7.  B \u003Cbr>8.  A \u003Cbr>9.  B  |  |  |  |\n| 1-9 | 89 | 78 | 67 | 56 |","cbCaiuSUq4xXcSpv","https://ap.wps.com/l/cbCaiuSUq4xXcSpv","pdf",65137,"English","# Determine the Function Machine Rule\n## Problems 1-3\n## Problems 4-6\n## Problems 7-9\n## Answers","[{\"question\":\"How do you determine the rule for a function machine from “in” and “out” values?\",\"answer\":\"Compare the pattern between the given “in” numbers and their corresponding “out” numbers. Then test which of the provided operations (+, -, ×, ÷) with the listed constant produces the observed outputs.\"},{\"question\":\"What answer choices are available for each question?\",\"answer\":\"Each question provides four options describing a possible rule for Q: Q + constant, Q - constant, Q × constant, or Q ÷ constant.\"},{\"question\":\"What is the purpose of the answer key in the worksheet?\",\"answer\":\"The answer key lists the correct letter choice for each numbered problem, allowing students to verify their selected rules.\"}]","Function Machine-Determining Rule - Determine the Input-to-Output Rule | PDF",1790793094]