[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-479813-105":59,"doc-detail-479813-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","Function Machines-Creating Equations - Answer Key","","Write equations that describe the relationship between an input value and an output value in a function-machine format. The worksheet provides multiple problems where an input letter represents numbers and the output letter represents the corresponding transformed values. Answer key sections give the correct algebraic equations using operations such as division, multiplication, addition, and subtraction with constants. 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The input numbers are transformed to produce the output numbers, and the equation describes that rule.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What types of equations appear in the answer key?",{"text":117,"@type":113},"The answer key uses basic operations including division, multiplication, addition, and subtraction, often with constant numbers and sometimes variable letter outputs.",{"name":119,"@type":110,"acceptedAnswer":120},"How can I use the input-output pairs to find the equation?",{"text":121,"@type":113},"Identify a consistent transformation from the given input numbers to the output numbers, then write the equation using the operation that matches the pattern shown in the pairs.","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},479813,1790826147,{"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":52,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":144},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 (p) \u003Cbr>Output (c) 56 8 63 9 21 3 70 10 35 5\u003Cbr>\u003Cbr>Input (n) \u003Cbr>Output (s) 4 6 5 7 8 10 2 4 7 9 |  | 2)\u003Cbr>5) | \u003Cbr>Input (j) \u003Cbr>Output (i) 2 14 7 49 10 70 8 56 9 63\u003Cbr>\u003Cbr>Input (i) \u003Cbr>Output (g) 4 16 10 40 5 20 8 32 9 36 |  |  | 3)\u003Cbr>6) | \u003Cbr>Input (c) \u003Cbr>Output (d) 9 24 3 18 7 22 6 21 8 23\u003Cbr>\u003Cbr>Input (a) \u003Cbr>Output (h) 26 6 29 9 22 2 25 5 24 4 |  |\n| 7) |  | \u003Cbr>in(t) 24 20 22 19 \u003Cbr>out(n) 7 3 5 2 |  |  | 8) | \u003Cbr>in(q) 4 3 9 8 \u003Cbr>out(n) 36 27 81 72 |  |  |  |\n| 9) |  | \u003Cbr>in(w) 24 16 56 32 \u003Cbr>out(i) 3 2 7 4 |  |  | 10) | \u003Cbr>in(j) 9 4 10 8 \u003Cbr>out(y) 11 6 12 10 |  |  |  |\n| 11) |  | \u003Cbr>in(m) 24 48 12 54 \u003Cbr>out(z) 4 8 2 9 |  |  | 12) | \u003Cbr>in(t) 9 6 5 7 \u003Cbr>out(q) 45 30 25 35 |  |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \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.  p ÷ 7 = c \u003Cbr>2.  j × 7 = i \u003Cbr>3.  c + 15 = d \u003Cbr>4.  n + 2 = s \u003Cbr>5.  i × 4 = g  6.  a-20 = h  7.  t-17 = n \u003Cbr>8.  q × 9 = n \u003Cbr>9.  w ÷ 8 = i \u003Cbr>10.  j + 2 = y \u003Cbr>11.  m ÷ 6 = z \u003Cbr>12.  t × 5 = q  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>4) | \u003Cbr>Input (p) \u003Cbr>Output (c) 56 8 63 9 21 3 70 10 35 5\u003Cbr>\u003Cbr>Input (n) \u003Cbr>Output (s) 4 6 5 7 8 10 2 4 7 9 |  | 2)\u003Cbr>5) | \u003Cbr>Input (j) \u003Cbr>Output (i) 2 14 7 49 10 70 8 56 9 63\u003Cbr>\u003Cbr>Input (i) \u003Cbr>Output (g) 4 16 10 40 5 20 8 32 9 36 |  |  | 3)\u003Cbr>6) | \u003Cbr>Input (c) \u003Cbr>Output (d) 9 24 3 18 7 22 6 21 8 23\u003Cbr>\u003Cbr>Input (a) \u003Cbr>Output (h) 26 6 29 9 22 2 25 5 24 4 |  |\n| 7) |  | \u003Cbr>in(t) 24 20 22 19 \u003Cbr>out(n) 7 3 5 2 |  |  | 8) | \u003Cbr>in(q) 4 3 9 8 \u003Cbr>out(n) 36 27 81 72 |  |  |  |\n| 9) |  | \u003Cbr>in(w) 24 16 56 32 \u003Cbr>out(i) 3 2 7 4 |  |  | 10) | \u003Cbr>in(j) 9 4 10 8 \u003Cbr>out(y) 11 6 12 10 |  |  |  |\n| 11) |  | \u003Cbr>in(m) 24 48 12 54 \u003Cbr>out(z) 4 8 2 9 |  |  | 12) | \u003Cbr>in(t) 9 6 5 7 \u003Cbr>out(q) 45 30 25 35 |  |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \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 (p) \u003Cbr>Output (c) 56 8 63 9 21 3 70 10 35 5 | 2) | \u003Cbr>Input (j) \u003Cbr>Output (i) 2 14 7 49 10 70 8 56 9 63 |  |  | 3) | \u003Cbr>Input (c) \u003Cbr>Output (d) 9 24 3 18 7 22 6 21 8 23 |  |  |  |  |  |  |  |  |  |\n| 4) | \u003Cbr>Input (n) \u003Cbr>Output (s) 4 6 5 7 8 10 2 4 7 9 | 5) | \u003Cbr>Input (i) \u003Cbr>Output (g) 4 16 10 40 5 20 8 32 9 36 |  |  | 6) | \u003Cbr>Input (a) \u003Cbr>Output (h) 26 6 29 9 22 2 25 5 24 4 |  |  |  |  |  |  |  |  |  |\n| 7) | \u003Cbr>in(t) 24 20 22 19 \u003Cbr>out(n) 7 3 5 2 |  |  | 8) | \u003Cbr>in(q) 4 3 9 8 \u003Cbr>out(n) 36 27 81 72 |  |  |  |  |  |  |  |  |  |  |  |\n| 1-8 |  |  |  |  |  |  |  | 88 |  | 75 | 63 | 50 | 38 | 25 | 13 | 0 |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1  \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.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.   |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1)\u003Cbr>4) | \u003Cbr>Input (p) \u003Cbr>Output (g) 70 10 42 6 35 5 21 3 28 4\u003Cbr>\u003Cbr>Input (o) \u003Cbr>Output (d) 9 5 12 8 14 10 ","cbCaiuKDXsCy2YNg","https://ap.wps.com/l/cbCaiuKDXsCy2YNg","pdf",726032,"English","# Write an equation to show the relationship between the input and the output","[{\"question\":\"What does the “function machine” input and output represent?\",\"answer\":\"Each problem pairs an input letter with output letter values. The input numbers are transformed to produce the output numbers, and the equation describes that rule.\"},{\"question\":\"What types of equations appear in the answer key?\",\"answer\":\"The answer key uses basic operations including division, multiplication, addition, and subtraction, often with constant numbers and sometimes variable letter outputs.\"},{\"question\":\"How can I use the input-output pairs to find the equation?\",\"answer\":\"Identify a consistent transformation from the given input numbers to the output numbers, then write the equation using the operation that matches the pattern shown in the pairs.\"}]","Function Machines-Creating Equations - Answer Key | PDF",1790793922,76]