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Problems present repeated-sum expressions such as c+c+c+c+c+c, expanded linear terms like 10(7+7b), and binomial multiplication like 6(4+7h) and 60i+90. An answer section provides simplified results for each item using multiplication distributed across sums, reinforcing combining like terms and correct algebraic transformation. Examples use variables a through z to practice pattern recognition and simplification.",{"@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/applying-properties-of-operations-distributive-property-practice/465751/",{"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/applying-properties-of-operations-distributive-property-practice/465751.png","ImageObject",300,407,{"name":92,"@type":93},"Hazel","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-02","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":8},"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 rewriting expressions into equivalent forms using the distributive property.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are answers typically formed on this sheet?",{"text":117,"@type":113},"Each answer distributes a multiplier across parentheses and combines like terms to produce an equivalent expression.",{"name":119,"@type":110,"acceptedAnswer":120},"What kinds of expressions appear in the problems?",{"text":121,"@type":113},"The worksheet includes repeated addition, products of a number with a binomial (like 6(4+7h)), and sums of unlike terms that can be factored or expanded.","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},465751,1790770013,{"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":8,"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},137441390410,"https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984","Applying Properties of Operations  \nName:  \n\n| Apply the distributive property to produce an equivalent expression.\u003Cbr>1) 10(7 + 7b) |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) c + c + c + c + c + c |  |  |  |  |  |  |  | 2.   |  |  |  |  |  |\n| 3) 18d + 9 |  |  |  |  |  |  |  | 3.   |  |  |  |  |  |\n| 4) e + e + e + e + e + e + e + e + e |  |  |  |  |  |  |  | 4. |  |  |  |  |  |\n| 5) 3 + 3f + 3 + 6f |  |  |  |  |  |  |  | 5. |  |  |  |  |  |\n| 6) g + g + g + g + g + g + g + g + g |  |  |  |  |  |  |  | 6. |  |  |  |  |  |\n| 7) 6(4 + 7h) |  |  |  |  |  |  |  | 7. |  |  |  |  |  |\n| 8) 60i + 90 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 9) j + j + j + j + j + j |  |  |  |  |  |  |  | 8.   |  |  |  |  |  |\n| 10) k + k + k + k + k + k + k |  |  |  |  |  |  |  | 9.   |  |  |  |  |  |\n| 11) 9 + 15m |  |  |  |  |  |  |  | 10.   |  |  |  |  |  |\n| 12) n + n + n + n + n |  |  |  |  |  |  |  | 11.   |  |  |  |  |  |\n| 13) 45 + 72p |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |\n| 14) 4r + 3 + 8r + 5 |  |  |  |  |  |  |  | 13.   |  |  |  |  |  |\n| 15) 56 + 72t |  |  |  |  |  |  |  | 14.   |  |  |  |  |  |\n| 16) 7(3u + 5) |  |  |  |  |  |  |  | 15.   |  |  |  |  |  |\n| 17) v + v + v + v + v + v + v + v |  |  |  |  |  |  |  | 16.   |  |  |  |  |  |\n| 18) 3(5w + 8) |  |  |  |  |  |  |  | 17.   |  |  |  |  |  |\n| 19) 7 + 3 + 7y + 8y |  |  |  |  |  |  |  | 18.   |  |  |  |  |  |\n| 20) 6 + 7 + 4z + 6z |  |  |  |  |  |  |  | 19.  \u003Cbr>20. |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 3 | 1-10\u003Cbr>11-20 | 95 | 90 | 85 | 80 | 75 | 70 | 65 | 60 | 55 | 50 |\n|  |  |  |  | 45 | 40 | 35 | 30 | 25 | 20 | 15 | 10 | 5 | 0 |\n\nApplying Properties of Operations  \nName: Answer Key  \n\n| Apply the distributive property to produce an equivalent expression.\u003Cbr>1) 10(7 + 7b) | Answers\u003Cbr>1. 70 + 70b |\n| --- | --- |\n| 2) c + c + c + c + c + c | 2. 6c |\n| 3) 18d + 9 | 3.  9(2d + 1)  |\n| 4) e + e + e + e + e + e + e + e + e | 4. 9e |\n| 5) 3 + 3f + 3 + 6f | 5. 9f+6 |\n| 6) g + g + g + g + g + g + g + g + g | 6. 9g |\n| 7) 6(4 + 7h) | 7.  24 + 42h  |\n| 8) 60i + 90 | 8. 30(2i + 3) |\n| 9) j + j + j + j + j + j | 9. 6j |\n| 10) k + k + k + k + k + k + k | 10. 7k |\n| 11) 9 + 15m |  |\n| 12) n + n + n + n + n | 11.  3(3 + 5m) \u003Cbr>12. 5n |\n| 13) 45 + 72p | 13. 9(5 + 8p) |\n| 14) 4r + 3 + 8r + 5 |  |\n| 15) 56 + 72t | 14.  12r+8  |\n| 16) 7(3u + 5) | 15.  8(7 + 9t)  |\n| 17) v + v + v + v + v + v + v + v | 16.  21u + 35  |\n| 18) 3(5w + 8) | 17.  8v  |\n| 19) 7 + 3 + 7y + 8y | 18.  15w + 24  |\n| 20) 6 + 7 + 4z + 6z | 19.  15y+10 \u003Cbr>20. 10z+13 |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nApplying Properties of Operations  \nName:  \nApply the distributive property to produce an equivalent expression.  \n9e 9g 3(3 + 5m) 6c  \n30(2i + 3) 6j 5n 7k  \n9(5 + 8p) 9f+6 9(2d + 1) 24 + 42h  \n70 + 70b  \n1) 10(7 + 7b)  \n2) c + c + c + c + c + c  \n3) 18d + 9  \n4) e + e + e + e + e + e + e + e + e  \n5) 3 + 3f + 3 + 6f  \n6) g + g + g + g + g + g + g + g + g  \n7) 6(4 + 7h)  \n8) 60i + 90  \n9) j + j + j + j + j + j  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n10) k + k + k + k + k + k + k  \n11) 9 + 15m  \n12) n + n + n + n + n  \n13) 45 + 72p  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n3  \n1-10  \n11-13  \n92  \n15  \n85 77 8 0  \n69 62 54 46 38 31 23","cbCaiqAFvylJlFKm","https://ap.wps.com/l/cbCaiqAFvylJlFKm","pdf",44507,"English","# Apply the distributive property\n## Practice problems (1-20)\n## Answer key","[{\"question\":\"What skill does this worksheet practice?\",\"answer\":\"It practices rewriting expressions into equivalent forms using the distributive property.\"},{\"question\":\"How are answers typically formed on this sheet?\",\"answer\":\"Each answer distributes a multiplier across parentheses and combines like terms to produce an equivalent expression.\"},{\"question\":\"What kinds of expressions appear in the problems?\",\"answer\":\"The worksheet includes repeated addition, products of a number with a binomial (like 6(4+7h)), and sums of unlike terms that can be factored or expanded.\"}]","Applying Properties of Operations - Distributive Property Practice | PDF"]