[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-479817-105":59,"doc-detail-479817-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-machines-creating-equations-answer-key-479817","Function Machines-Creating Equations - Answer Key","","Function Machines-Creating Equations - Answer Key provides solutions for a set of input-output “function machine” problems. Each item specifies an algebraic relationship between an input letter and an output letter, showing the rule that transforms numbers. The key includes twelve full equations such as subtraction, addition, multiplication, and division rules, followed by corresponding input-output numeric mappings.",{"@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-machines-creating-equations-answer-key-479817/479817/",{"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-machines-creating-equations-answer-key-479817/479817.png","ImageObject",300,407,{"name":92,"@type":93},"Franzy","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":24},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What does each problem in Function Machines-Creating Equations require?","Question",{"text":112,"@type":113},"Each problem asks you to write an equation that shows the relationship between the given input and output letters and numbers.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the input and output related in the answer key?",{"text":117,"@type":113},"The answer key provides a specific rule for each item, such as adding, subtracting, multiplying, or dividing the input to produce the output.",{"name":119,"@type":110,"acceptedAnswer":120},"Are both equations and numerical mappings provided?",{"text":121,"@type":113},"Yes. The answer key lists equations for items 1 through 12 and also shows the input-output number examples used to verify the rules.","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},479817,1792899466,{"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":24,"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},2336478945519,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Function Machines-Creating Equations  \nName:  \n\n| Write an equation to show the relationship between the input and the output. |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>4) | \u003Cbr>Input (s) \u003Cbr>Output (w) 15 3 19 7 21 9 17 5 20 8\u003Cbr>\u003Cbr>Input (a) \u003Cbr>Output (t) 16 4 14 2 18 6 19 7 20 8 |  | 2)\u003Cbr>5) | \u003Cbr>Input (r) \u003Cbr>Output (b) 3 7 7 11 8 12 5 9 4 8\u003Cbr>\u003Cbr>Input (w) \u003Cbr>Output (r) 20 10 8 4 14 7 16 8 18 9 |  |  | 3)\u003Cbr>6) | \u003Cbr>Input (f) \u003Cbr>Output (r) 9 26 3 20 4 21 6 23 8 25\u003Cbr>\u003Cbr>Input (c) \u003Cbr>Output (j) 4 16 9 36 8 32 3 12 10 40 |  |\n| 7) |  | \u003Cbr>in(n) 9 14 11 17 \u003Cbr>out(p) 2 7 4 10 |  |  | 8) | \u003Cbr>in(c) 9 7 10 4 \u003Cbr>out(q) 54 42 60 24 |  |  |  |\n| 9) |  | \u003Cbr>in(m) 15 12 9 21 \u003Cbr>out(b) 5 4 3 7 |  |  | 10) | \u003Cbr>in(b) 7 4 5 9 \u003Cbr>out(y) 12 9 10 14 |  |  |  |\n| 11) |  | \u003Cbr>in(e) 4 5 3 6 \u003Cbr>out(u) 32 40 24 48 |  |  | 12) | \u003Cbr>in(l) 11 9 10 13 \u003Cbr>out(a) 6 4 5 8 |  |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17  \nFunction Machines-Creating Equations  \nName: Answer Key  \n\n| Write an equation to show the relationship between the input and the output. |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  s-12 = w \u003Cbr>2.  r + 4 = b \u003Cbr>3.  f + 17 = r  4.  a-12 = t \u003Cbr>5.  w ÷ 2 = r \u003Cbr>6.  c × 4 = j  7.  n-7 = p \u003Cbr>8.  c × 6 = q \u003Cbr>9.  m ÷ 3 = b \u003Cbr>10.  b + 5 = y \u003Cbr>11.  e × 8 = u  12.  l -5 = a  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>4) | \u003Cbr>Input (s) \u003Cbr>Output (w) 15 3 19 7 21 9 17 5 20 8\u003Cbr>\u003Cbr>Input (a) \u003Cbr>Output (t) 16 4 14 2 18 6 19 7 20 8 |  | 2)\u003Cbr>5) | \u003Cbr>Input (r) \u003Cbr>Output (b) 3 7 7 11 8 12 5 9 4 8\u003Cbr>\u003Cbr>Input (w) \u003Cbr>Output (r) 20 10 8 4 14 7 16 8 18 9 |  |  | 3)\u003Cbr>6) | \u003Cbr>Input (f) \u003Cbr>Output (r) 9 26 3 20 4 21 6 23 8 25\u003Cbr>\u003Cbr>Input (c) \u003Cbr>Output (j) 4 16 9 36 8 32 3 12 10 40 |  |\n| 7) |  | \u003Cbr>in(n) 9 14 11 17 \u003Cbr>out(p) 2 7 4 10 |  |  | 8) | \u003Cbr>in(c) 9 7 10 4 \u003Cbr>out(q) 54 42 60 24 |  |  |  |\n| 9) |  | \u003Cbr>in(m) 15 12 9 21 \u003Cbr>out(b) 5 4 3 7 |  |  | 10) | \u003Cbr>in(b) 7 4 5 9 \u003Cbr>out(y) 12 9 10 14 |  |  |  |\n| 11) |  | \u003Cbr>in(e) 4 5 3 6 \u003Cbr>out(u) 32 40 24 48 |  |  | 12) | \u003Cbr>in(l) 11 9 10 13 \u003Cbr>out(a) 6 4 5 8 |  |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17  \nFunction Machines-Creating Equations  \nName:  \n\n| Write an equation to show the relationship between the input and the output. |  |  |  |  |  |  |  |  | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.   |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | \u003Cbr>Input (s) \u003Cbr>Output (w) 15 3 19 7 21 9 17 5 20 8 | 2) | \u003Cbr>Input (r) \u003Cbr>Output (b) 3 7 7 11 8 12 5 9 4 8 |  |  | 3) | \u003Cbr>Input (f) \u003Cbr>Output (r) 9 26 3 20 4 21 6 23 8 25 |  |  |  |  |  |  |  |  |  |\n| 4) | \u003Cbr>Input (a) \u003Cbr>Output (t) 16 4 14 2 18 6 19 7 20 8 | 5) | \u003Cbr>Input (w) \u003Cbr>Output (r) 20 10 8 4 14 7 16 8 18 9 |  |  | 6) | \u003Cbr>Input (c) \u003Cbr>Output (j) 4 16 9 36 8 32 3 12 10 40 |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>in(n) 9 14 11 17 \u003Cbr>out(p) 2 7 4 10 |  |  | 8) | \u003Cbr>in(c) 9 7 10 4 \u003Cbr>out(q) 54 42 60 24 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  |  |  |  |  | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4","cbCail45GGfVcVeV","https://ap.wps.com/l/cbCail45GGfVcVeV","pdf",72277,"English","# Write an equation to show the relationship between the input and the output\n## Answer key (1-12)","[{\"question\":\"What does each problem in Function Machines-Creating Equations require?\",\"answer\":\"Each problem asks you to write an equation that shows the relationship between the given input and output letters and numbers.\"},{\"question\":\"How are the input and output related in the answer key?\",\"answer\":\"The answer key provides a specific rule for each item, such as adding, subtracting, multiplying, or dividing the input to produce the output.\"},{\"question\":\"Are both equations and numerical mappings provided?\",\"answer\":\"Yes. The answer key lists equations for items 1 through 12 and also shows the input-output number examples used to verify the rules.\"}]","Function Machines-Creating Equations - Answer Key | PDF",1790793933]