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Students convert given two-term sums into a product form k×(a+b) where the two numbers inside the parentheses share no common factor with the multiplier. The worksheet provides example guidance and a list of problems labeled 1 through 12, followed by an answer key matching each original expression to its simplified multiple-of-a-sum form.",{"@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/rewriting-expressions-as-multiples-of-a-sum-answer-key-distributive-property-practice/467488/",{"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/rewriting-expressions-as-multiples-of-a-sum-answer-key-distributive-property-practice/467488.png","ImageObject",300,407,{"name":92,"@type":93},"Asher","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-29","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 skill does this worksheet practice?","Question",{"text":112,"@type":113},"It practices using the distributive property to rewrite a two-number sum as a multiplier times a sum of two numbers (k×(a+b)).","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What does “with no common factor” mean here?",{"text":117,"@type":113},"The solution form is written so the multiplier and the numbers in (a+b) do not share a common factor.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can I find the solutions?",{"text":121,"@type":113},"The document includes an “Answer Key” section that lists each problem’s rewritten multiple-of-a-sum expression.","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},467488,1792986514,{"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},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Rewriting Expressions as Multiples of a Sum  \nName:  \n\n| Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.\u003Cbr>Ex) 21 + 12 =  3×(7+4) \u003Cbr>1) 16 + 33 =   |  |  | Ex.\u003Cbr>1.\u003Cbr>2. | Answers\u003Cbr>3×(7+4) |\n| --- | --- | --- | --- | --- |\n|  |  |  |  |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 2) 24 + 14 =   |  |  | 3. |  |\n|  |  |  |  |  |\n| 3) | 36 + 16 = |  | 4.\u003Cbr>5. |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 4) | 6 + 24 = |  | 6. |  |\n|  |  |  |  |  |\n| 5) | 12 + 6 = |  | 7.\u003Cbr>8. |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 6) | 10 + 22 = |  | 9. |  |\n|  |  |  |  |  |\n| 7) | 30 + 22 = |  | 10.\u003Cbr>11. |  |\n|  |  |  |  |  |\n|  |  |  |  |  |\n| 8) | 6 + 2 = |  | 12. |  |\n|  |  |  |  |  |\n| 9) | 33 + 42 = |  |  |  |\n| 10) | 42 + 24 = |  |  |  |\n| 11) | 20 + 24 = |  |  |  |\n| 12) | 22 + 33 = |  |  |  |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3  \n1-10 92  \n11-12 8  \n83  \n0  \n75 67 58 50 42 33 25 17  \nRewriting Expressions as Multiples of a Sum  \nName: Answer Key  \n\n| Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.\u003Cbr>Ex) 21 + 12 =  3×(7+4) \u003Cbr>1) 16 + 33 =  1×(16+33)  |  |  |  |  |  |  | Answers Ex.  3×(7+4) \u003Cbr>1.  1×(16+33) \u003Cbr>2.  2×(12+7)  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | 24 + 14 =  2×(12+7)  |  |  |  |  |  | 3.  4×(9+4)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | 36 + 16 =  4×(9+4)  |  |  |  |  |  | 4.  6×(1+4) \u003Cbr>5.  6×(2+1)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | 6 + 24 =  6×(1+4)  |  |  |  |  |  | 6.  2×(5+11)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | 12 + 6 =  6×(2+1)  |  |  |  |  |  | 7.  2×(15+11) \u003Cbr>8.  2×(3+1)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | 10 + 22 =  2×(5+11)  |  |  |  |  |  | 9.  3×(11+14)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | 30 + 22 =  2×(15+11)  |  |  |  |  |  | 10.  6×(7+4) \u003Cbr>11.  4×(5+6)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8) | 6 + 2 =  2×(3+1)  |  |  |  |  |  | 12.  11×(2+3)  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) | 33 + 42 =  3×(11+14)  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 10) | 42 + 24 =  6×(7+4)  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 11) | 20 + 24 =  4×(5+6)  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 12) | 22 + 33 =  11×(2+3)  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  | Math\u003Cbr>[www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 3 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 |  | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |  |\n\nRewriting Expressions as Multiples of a Sum  \nName:  \n\n| Use the distributive property to rewrite the expression as a multiple of a sum of two numbers with no common factor.\u003Cbr>Ex) 21 + 12 =  3×(7+4) \u003Cbr>1) 16 + 33 =   |  | Ex.\u003Cbr>1.\u003Cbr>2.\u003Cbr>3. | Answers\u003Cbr>3×(7+4) |\n| --- | --- | --- | --- |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n|  |  |  |  |\n| 2) 24 + 14 =   |  | 4.\u003Cbr>5. |  |\n|  |  |  |  |\n|  |  |  |  |\n| 3) | 36 + 16 =   | 6.\u003Cbr>7.\u003Cbr>8. |  |\n|  |  |  |  |\n|  |  |  |  |\n| 4) | 6 + 24 =   |  |  |\n| 5) | 12 + 6 =   |  |  |\n| 6) | 10 + 22 =   |  |  |\n| 7) | 30 + 22 =   |  |  |\n| 8) | 6 + 2 =   |  |  |\n\nMath  \nModified  \n[www.CommonCoreS","cbCaihIipqrX6bGw","https://ap.wps.com/l/cbCaihIipqrX6bGw","pdf",43313,"English","# Use the distributive property\n## Example conversion\n## Problems 1-12\n## Answer key","[{\"question\":\"What skill does this worksheet practice?\",\"answer\":\"It practices using the distributive property to rewrite a two-number sum as a multiplier times a sum of two numbers (k×(a+b)).\"},{\"question\":\"What does “with no common factor” mean here?\",\"answer\":\"The solution form is written so the multiplier and the numbers in (a+b) do not share a common factor.\"},{\"question\":\"Where can I find the solutions?\",\"answer\":\"The document includes an “Answer Key” section that lists each problem’s rewritten multiple-of-a-sum expression.\"}]","Rewriting Expressions as Multiples of a Sum - Answer Key - Distributive Property Practice | PDF",1790772927]