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Problems require transforming terms presented as sums within parentheses and repeated addition into factored or grouped products, including cases with variables in coefficients and repeated like terms. The answer key provides the simplified equivalent expressions for items 1 through 20, matching the required distributive expansions and consolidations. Suitable for classroom review and skills reinforcement on algebraic equivalence.",{"@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-answer-key-equivalent-expressions/480828/",{"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-answer-key-equivalent-expressions/480828.png","ImageObject",300,407,{"name":92,"@type":93},"Bulrr","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-01","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 skill do the problems target on this sheet?","Question",{"text":112,"@type":113},"They target applying the distributive property to rewrite expressions into equivalent forms.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the answers provided?",{"text":117,"@type":113},"The answer key lists the equivalent expression for each problem from 1 through 20.",{"name":119,"@type":110,"acceptedAnswer":120},"What kinds of expressions appear in the questions?",{"text":121,"@type":113},"The worksheet includes sums with parentheses like 3(6+3b), repeated addition like m+m+m, and variable-coefficient terms such as 9(9z+3).","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},480828,1792835087,{"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},5909892115043,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Applying Properties of Operations  \nName:  \nApply the distributive property to produce an equivalent expression.  \n1) 70j + 70  \n2) 42s + 21  \n3) 3(6 + 3b)  \n4) 8(10 + 10f)  \n5) 3(6c + 3)  \n6) m + m + m + m + m + m  \n7) 24 + 42a  \n8) e + e + e  \n9) 9(9z + 3)  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \nAnswers  \n10) 30 + 15w  \n11) t + t + t  \n12) 6(3h + 7)  \n13) 9(5 + 8p)  \n14) v + v + v + v + v + v + v  \n15) 8(7 + 9n)  \n16) u + u + u + u + u + u + u + u  \n17) 6(5r + 9)  \n18) 15 + 24k  \n19) 7(8 + 3y)  \n20) 6(4 + 7g)  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \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: Answer Key  \nApply the distributive property to produce an equivalent expression.  \n1) 70j + 70  \n2) 42s + 21  \n3) 3(6 + 3b)  \n4) 8(10 + 10f)  \n5) 3(6c + 3)  \n6) m + m + m + m + m + m  \n7) 24 + 42a  \n8) e + e + e  \n9) 9(9z + 3)  \n10) 30 + 15w  \n11) t + t + t  \n12) 6(3h + 7)  \n13) 9(5 + 8p)  \n14) v + v + v + v + v + v + v  \n15) 8(7 + 9n)  \n16) u + u + u + u + u + u + u + u  \n17) 6(5r + 9)  \n18) 15 + 24k  \n19) 7(8 + 3y)  \n20) 6(4 + 7g)  \nAnswers  \n1. 70(1j + 1)  \n2. 21(2s + 1)  \n3. 18 + 9b  \n4. 80 + 80f  \n5. 18c + 9  \n6. 6m  \n7. 6(4 + 7a)  \n8. 3e  \n9. 81z + 27  \n10. 15(2 + 1w)  \n11. 3t  \n12. 18h + 42  \n13. 45 + 72p  \n14. 7v  \n15. 56 + 72n  \n16. 8u  \n17. 30r + 54  \n18. 3(5 + 8k)  \n19. 56 + 21y  \n20. 24 + 42g  \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.  \n6(4 + 7a) 3e 18c + 9 6m  \n80 + 80f 18h + 42 45 + 72p 21(2s + 1) 70(1j + 1) 15(2 + 1w) 81z + 27 3t  \n18 + 9b  \n1) 70j + 70  \n2) 42s + 21  \n3) 3(6 + 3b)  \n4) 8(10 + 10f)  \n5) 3(6c + 3)  \n6) m + m + m + m + m + m  \n7) 24 + 42a  \n8) e + e + e  \n9) 9(9z + 3)  \n10) 30 + 15w  \n11) t + t + t  \n12) 6(3h + 7)  \n13) 9(5 + 8p)  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \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","cbCaiffbWsLVeVCp","https://ap.wps.com/l/cbCaiffbWsLVeVCp","pdf",44290,"English","# Applying Properties of Operations\n## Questions 1-20\n## Answers","[{\"question\":\"What skill do the problems target on this sheet?\",\"answer\":\"They target applying the distributive property to rewrite expressions into equivalent forms.\"},{\"question\":\"How are the answers provided?\",\"answer\":\"The answer key lists the equivalent expression for each problem from 1 through 20.\"},{\"question\":\"What kinds of expressions appear in the questions?\",\"answer\":\"The worksheet includes sums with parentheses like 3(6+3b), repeated addition like m+m+m, and variable-coefficient terms such as 9(9z+3).\"}]","Applying Properties of Operations - Answer Key - Equivalent Expressions | PDF",1790795662]