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Each item specifies an equation that shows the relationship between the input and output values, using operations such as division, multiplication, addition, and subtraction, including expressions like p ÷ 7 = c and j × 7 = 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is the goal of the Function Machines activity?","Question",{"text":112,"@type":113},"Write equations that show how each input value maps to its output value through a consistent rule.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of operations are used in the answer key equations?",{"text":117,"@type":113},"The equations use division, multiplication, addition, and subtraction to transform the input into the output.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the problem items organized in the worksheet?",{"text":121,"@type":113},"Each item lists an input variable and matching input/output number pairs, then provides the equation that matches the relationship.","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},464152,1790767754,{"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":14,"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":129,"read_time":39},34359740700684,"https://ap-avatar.wpscdn.com/avatar/1f400023980c374ae676?_k=1777273430885731487","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","cbCaib90kHmvyZIB","https://ap.wps.com/l/cbCaib90kHmvyZIB","pdf",72335,"English","# Write an equation for the input-output relationship\n## Solved equations (answer key) for multiple items","[{\"question\":\"What is the goal of the Function Machines activity?\",\"answer\":\"Write equations that show how each input value maps to its output value through a consistent rule.\"},{\"question\":\"What kinds of operations are used in the answer key equations?\",\"answer\":\"The equations use division, multiplication, addition, and subtraction to transform the input into the output.\"},{\"question\":\"How are the problem items organized in the worksheet?\",\"answer\":\"Each item lists an input variable and matching input/output number pairs, then provides the equation that matches the relationship.\"}]","Function Machines - Creating Equations - Answer Key | PDF"]