[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-479297-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-479297-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-name","Function Machine-Determining Rule - Name:","","Students are asked to match an unknown “function machine” to a given input-output pattern. Each problem lists ten example outputs for a set of inputs, then provides four possible rules in terms of Q. The candidate rules use either addition, subtraction, multiplication, or division by a fixed number. Learners must determine which choice correctly transforms every input into the displayed outputs.",{"@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-name/479297/",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-name/479297.png","ImageObject",300,407,{"name":42,"@type":43},"Elsa","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-30","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 I determine the rule for a function machine?","Question",{"text":63,"@type":64},"Compare the given inputs and outputs and test which option (addition, subtraction, multiplication, or division by a constant) reproduces the output pattern.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"What does Q represent in these problems?",{"text":68,"@type":64},"Q represents the input value. The correct rule transforms Q into the corresponding output values shown for the machine.",{"name":70,"@type":61,"acceptedAnswer":71},"What types of rule choices are provided?",{"text":72,"@type":64},"Each question offers four choices: Q + k, Q - k, Q × k, or Q ÷ k for a specific constant k.","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},479297,1792899471,{"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 45 33 28 49 44 46 41 24 19\u003Cbr>2)\u003Cbr>\u003Cbr>in \u003Cbr>out 46 37 45 36 34 25 28 19 29 20\u003Cbr>3)\u003Cbr>\u003Cbr>in \u003Cbr>out 29 15 45 31 30 16 26 12 31 17\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>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 + 14\u003Cbr>B. Q-14\u003Cbr>C. Q × 14\u003Cbr>D. Q ÷ 14\u003Cbr>4)\u003Cbr>\u003Cbr>in \u003Cbr>out 26 18 38 30 41 33 43 35 42 34\u003Cbr>5)\u003Cbr>\u003Cbr>in \u003Cbr>out 23 17 41 35 34 28 42 36 56 50\u003Cbr>6)\u003Cbr>\u003Cbr>in \u003Cbr>out 46 39 45 38 48 41 38 31 19 12\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 + 6\u003Cbr>B. Q-6\u003Cbr>C. Q × 6\u003Cbr>D. Q ÷ 6\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>7)\u003Cbr>\u003Cbr>in \u003Cbr>out 27 39 34 46 28 40 13 25 22 34\u003Cbr>8)\u003Cbr>\u003Cbr>in \u003Cbr>out 28 34 20 26 32 38 42 48 49 55\u003Cbr>9)\u003Cbr>\u003Cbr>in \u003Cbr>out 11 21 50 60 15 25 44 54 29 39\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 + 6\u003Cbr>B. Q-6\u003Cbr>C. Q × 6\u003Cbr>D. Q ÷ 6\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 10\u003Cbr>B. Q-10\u003Cbr>C. Q × 10\u003Cbr>D. Q ÷ 10 |  |  |  |  |  | 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\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \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 45 33 28 49 44 46 41 24 19\u003Cbr>2)\u003Cbr>\u003Cbr>in \u003Cbr>out 46 37 45 36 34 25 28 19 29 20\u003Cbr>3)\u003Cbr>\u003Cbr>in \u003Cbr>out 29 15 45 31 30 16 26 12 31 17\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>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 + 14\u003Cbr>B. Q-14\u003Cbr>C. Q × 14\u003Cbr>D. Q ÷ 14\u003Cbr>4)\u003Cbr>\u003Cbr>in \u003Cbr>out 26 18 38 30 41 33 43 35 42 34\u003Cbr>5)\u003Cbr>\u003Cbr>in \u003Cbr>out 23 17 41 35 34 28 42 36 56 50\u003Cbr>6)\u003Cbr>\u003Cbr>in \u003Cbr>out 46 39 45 38 48 41 38 31 19 12\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 + 6\u003Cbr>B. Q-6\u003Cbr>C. Q × 6\u003Cbr>D. Q ÷ 6\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>7)\u003Cbr>\u003Cbr>in \u003Cbr>out 27 39 34 46 28 40 13 25 22 34\u003Cbr>8)\u003Cbr>\u003Cbr>in \u003Cbr>out 28 34 20 26 32 38 42 48 49 55\u003Cbr>9)\u003Cbr>\u003Cbr>in \u003Cbr>out 11 21 50 60 15 25 44 54 29 39\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 + 6\u003Cbr>B. Q-6\u003Cbr>C. Q × 6\u003Cbr>D. Q ÷ 6\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 10\u003Cbr>B. Q-10\u003Cbr>C. Q × 10\u003Cbr>D. Q ÷ 10 |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  | 1.  B \u003Cbr>2.  B \u003Cbr>3.  B \u003Cbr>4.  B \u003Cbr>5.  B \u003Cbr>6.  B \u003Cbr>7.  A \u003Cbr>8.  A \u003Cbr>9.  A  |  |  |  |\n| 1-9 | 89 | 78 | 67 | 56 | 44 | 33 | 22 | 11 | 0 |\n\nMath  \nSeed: 1980332595-10252  \n[www.CommonCoreSheets.com](","cbCaikDuHAOpGx7Q","https://ap.wps.com/l/cbCaikDuHAOpGx7Q","pdf",65122,"English","# Determine the matching rule for each function machine\n## Problem 1 to 9 (function machine outputs and rule choices)","[{\"question\":\"How do I determine the rule for a function machine?\",\"answer\":\"Compare the given inputs and outputs and test which option (addition, subtraction, multiplication, or division by a constant) reproduces the output pattern.\"},{\"question\":\"What does Q represent in these problems?\",\"answer\":\"Q represents the input value. The correct rule transforms Q into the corresponding output values shown for the machine.\"},{\"question\":\"What types of rule choices are provided?\",\"answer\":\"Each question offers four choices: Q + k, Q - k, Q × k, or Q ÷ k for a specific constant k.\"}]","Function Machine-Determining Rule - Name: | PDF",1790793083]