[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-479299-105":59,"doc-detail-479299-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","function-machine-determining-rule-determine-the-matching-input-output-function-rule","Function Machine-Determining Rule - Determine the matching input-output function rule","","Determine the correct number rule for a “function machine” by comparing given input sequences (labeled Q) and output sequences. Each problem presents multiple-choice options using arithmetic with Q, such as adding, subtracting, multiplying, or dividing by a specified factor. Students analyze which rule consistently matches the input-to-output pattern for each numbered case. An answer key indicates the selected option for problems 1 through 9 and 1 through 6.",{"@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/function-machine-determining-rule-determine-the-matching-input-output-function-rule/479299/",{"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/function-machine-determining-rule-determine-the-matching-input-output-function-rule/479299.png","ImageObject",300,407,{"name":92,"@type":93},"Elsa","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-25","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":81},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What is a function machine in this worksheet?","Question",{"text":112,"@type":113},"A function machine maps an input value Q to an output value using an unknown arithmetic rule. The worksheet asks you to identify the rule that best matches the given inputs and outputs.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How do the multiple-choice options work?",{"text":117,"@type":113},"Each option expresses a possible rule for Q, using operations like +, -, ×, or ÷ with a specific number. You choose the option that matches the observed input-output pattern.",{"name":119,"@type":110,"acceptedAnswer":120},"What does the answer key provide?",{"text":121,"@type":113},"The answer key lists the correct letter choice (A, B, C, or D) for each numbered problem, indicating which rule correctly fits the function machine.","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},479299,1792877510,{"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":81,"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","Function Machine-Determining Rule  \nName:  \n\n| Determine which number sentence best matches the function machine.\u003Cbr>1)\u003Cbr>\u003Cbr>in \u003Cbr>out 39 44 23 28 47 52 17 22 24 29\u003Cbr>2)\u003Cbr>\u003Cbr>in \u003Cbr>out 21 36 50 65 35 50 22 37 17 32\u003Cbr>3)\u003Cbr>\u003Cbr>in \u003Cbr>out 47 60 29 42 43 56 50 63 27 40\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 + 15\u003Cbr>B. Q-15\u003Cbr>C. Q × 15\u003Cbr>D. Q ÷ 15\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\u003Cbr>4)\u003Cbr>\u003Cbr>in \u003Cbr>out 47 39 50 42 20 12 51 43 52 44\u003Cbr>5)\u003Cbr>\u003Cbr>in \u003Cbr>out 59 46 31 18 63 50 25 12 37 24\u003Cbr>6)\u003Cbr>\u003Cbr>in \u003Cbr>out 27 12 39 24 34 19 62 47 65 50\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 + 13\u003Cbr>B. Q-13\u003Cbr>C. Q × 13\u003Cbr>D. Q ÷ 13\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 15\u003Cbr>B. Q-15\u003Cbr>C. Q × 15\u003Cbr>D. Q ÷ 15\u003Cbr>7)\u003Cbr>\u003Cbr>in \u003Cbr>out 14 23 10 19 31 40 18 27 26 35\u003Cbr>8)\u003Cbr>\u003Cbr>in \u003Cbr>out 51 46 48 43 33 28 24 19 54 49\u003Cbr>9)\u003Cbr>\u003Cbr>in \u003Cbr>out 48 55 27 34 34 41 10 17 18 25\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 + 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 + 7\u003Cbr>B. Q-7\u003Cbr>C. Q × 7\u003Cbr>D. Q ÷ 7 |  |  |  |  |  | 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 3)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 3)[ 3](Math www.CommonCoreSheets.com 3)  \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 39 44 23 28 47 52 17 22 24 29\u003Cbr>2)\u003Cbr>\u003Cbr>in \u003Cbr>out 21 36 50 65 35 50 22 37 17 32\u003Cbr>3)\u003Cbr>\u003Cbr>in \u003Cbr>out 47 60 29 42 43 56 50 63 27 40\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 + 15\u003Cbr>B. Q-15\u003Cbr>C. Q × 15\u003Cbr>D. Q ÷ 15\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\u003Cbr>4)\u003Cbr>\u003Cbr>in \u003Cbr>out 47 39 50 42 20 12 51 43 52 44\u003Cbr>5)\u003Cbr>\u003Cbr>in \u003Cbr>out 59 46 31 18 63 50 25 12 37 24\u003Cbr>6)\u003Cbr>\u003Cbr>in \u003Cbr>out 27 12 39 24 34 19 62 47 65 50\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 + 13\u003Cbr>B. Q-13\u003Cbr>C. Q × 13\u003Cbr>D. Q ÷ 13\u003Cbr>If each input is 'Q' which rule could the function machine be using?\u003Cbr>A. Q + 15\u003Cbr>B. Q-15\u003Cbr>C. Q × 15\u003Cbr>D. Q ÷ 15\u003Cbr>7)\u003Cbr>\u003Cbr>in \u003Cbr>out 14 23 10 19 31 40 18 27 26 35\u003Cbr>8)\u003Cbr>\u003Cbr>in \u003Cbr>out 51 46 48 43 33 28 24 19 54 49\u003Cbr>9)\u003Cbr>\u003Cbr>in \u003Cbr>out 48 55 27 34 34 41 10 17 18 25\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 + 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 + 7\u003Cbr>B. Q-7\u003Cbr>C. Q × 7\u003Cbr>D. Q ÷ 7 |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  | 1.  A \u003Cbr>2.  A \u003Cbr>3.  A \u003Cbr>4.  B \u003Cbr>5.  B \u003Cbr>6.  B \u003Cbr>7.  A \u003Cbr>8.  B \u003Cbr>9.  A  |  |  |  |\n| 1-9 | 89 | 78 | 67 | 56 |","cbCairRthRChEocN","https://ap.wps.com/l/cbCairRthRChEocN","pdf",65177,"English","# Determine the function machine rule\n## Problems 1-3\n## Problems 4-6\n## Problems 7-9\n## Answer key","[{\"question\":\"What is a function machine in this worksheet?\",\"answer\":\"A function machine maps an input value Q to an output value using an unknown arithmetic rule. The worksheet asks you to identify the rule that best matches the given inputs and outputs.\"},{\"question\":\"How do the multiple-choice options work?\",\"answer\":\"Each option expresses a possible rule for Q, using operations like +, -, ×, or ÷ with a specific number. You choose the option that matches the observed input-output pattern.\"},{\"question\":\"What does the answer key provide?\",\"answer\":\"The answer key lists the correct letter choice (A, B, C, or D) for each numbered problem, indicating which rule correctly fits the function machine.\"}]","Function Machine-Determining Rule - Determine the matching input-output function rule | PDF",1790793084]