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The questions present expressions made from repeated addition terms, variable coefficients, and products such as constants times grouped binomials, including forms like a(b+c) and multiples of variables. An answer section provides the expanded or factored equivalent expressions for each item, supporting checking and feedback after students rewrite the expressions using distribution.",{"@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-apply-the-distributive-property/465747/",{"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-apply-the-distributive-property/465747.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 does the worksheet ask students to do with each expression?","Question",{"text":112,"@type":113},"It asks students to apply the distributive property to produce an equivalent expression. Each item is rewritten into an equivalent form using distribution.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What kinds of expressions appear in the problems?",{"text":117,"@type":113},"The worksheet includes sums with repeated terms and expressions involving variables with coefficients, as well as products like a(b + c) that require distributing a factor across a group.",{"name":119,"@type":110,"acceptedAnswer":120},"Is there an answer key included?",{"text":121,"@type":113},"Yes. The document includes an answer key listing the equivalent expressions for the problems so students can verify their work.","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},465747,1790770006,{"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) 8 + 6b |  |  |  |  |  |  |  | Answers\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) c + c + c + c + c + c |  |  |  |  |  |  |  | 2.   |  |  |  |  |  |\n| 3) d + d + d + d + d + d + d |  |  |  |  |  |  |  | 3.   |  |  |  |  |  |\n| 4) 63 + 27e |  |  |  |  |  |  |  | 4. |  |  |  |  |  |\n| 5) f + f + f + f + f + f + f |  |  |  |  |  |  |  | 5. |  |  |  |  |  |\n| 6) 60 + 90g |  |  |  |  |  |  |  | 6. |  |  |  |  |  |\n| 7) 9h + 5h + 2 + 9 |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 8) 20 + 50i |  |  |  |  |  |  |  | 7.   |  |  |  |  |  |\n| 9) 9(4 + 10j) |  |  |  |  |  |  |  | 8.   |  |  |  |  |  |\n| 10) k + k + k + k + k + k + k + k + k |  |  |  |  |  |  |  | 9.   |  |  |  |  |  |\n| 11) 2 + 9 + 5m + 3m |  |  |  |  |  |  |  | 10.   |  |  |  |  |  |\n| 12) 9(7n + 8) |  |  |  |  |  |  |  | 11.   |  |  |  |  |  |\n| 13) 10(2p + 6) |  |  |  |  |  |  |  | 12.   |  |  |  |  |  |\n| 14) 18r + 63 |  |  |  |  |  |  |  | 13.   |  |  |  |  |  |\n| 15) t + t + t + t + t + t + t + t + t |  |  |  |  |  |  |  | 14.   |  |  |  |  |  |\n| 16) 54u + 42 |  |  |  |  |  |  |  | 15.   |  |  |  |  |  |\n| 17) 60v + 18 |  |  |  |  |  |  |  | 16.   |  |  |  |  |  |\n| 18) w + w + w + w + w + w + w + w |  |  |  |  |  |  |  | 17.   |  |  |  |  |  |\n| 19) y + y + y + y + y + y + y + y |  |  |  |  |  |  |  | 18.   |  |  |  |  |  |\n| 20) 30z + 21 |  |  |  |  |  |  |  | 19.  \u003Cbr>20. |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 9 | 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) 8 + 6b |  | Answers\u003Cbr>1. 2(4 + 3b) |\n| --- | --- | --- |\n| 2) | c + c + c + c + c + c | 2. 6c |\n| 3) | d + d + d + d + d + d + d | 3. 7d |\n| 4) | 63 + 27e | 4.  9(7 + 3e)  |\n| 5) | f + f + f + f + f + f + f | 5. 7f |\n| 6) | 60 + 90g | 6. 30(2 + 3g) |\n| 7) | 9h + 5h + 2 + 9 | 7.  14h+11  |\n| 8) | 20 + 50i | 8. 10(2 + 5i) |\n| 9) | 9(4 + 10j) | 9. 36 + 90j |\n| 10) | k + k + k + k + k + k + k + k + k | 10. 9k |\n| 11) | 2 + 9 + 5m + 3m | 11. 8m+11 |\n| 12) | 9(7n + 8) | 12. 63n + 72 |\n| 13) | 10(2p + 6) | 13. 20p + 60 |\n| 14) | 18r + 63 |  |\n| 15) | t + t + t + t + t + t + t + t + t | 14.  9(2r + 7)  |\n| 16) | 54u + 42 | 15.  9t  |\n| 17) | 60v + 18 | 16.  6(9u + 7)  |\n| 18) | w + w + w + w + w + w + w + w | 17.  6(10v + 3)  |\n| 19) | y + y + y + y + y + y + y + y | 18.  8w  |\n| 20) | 30z + 21 | 19.  8y \u003Cbr>20. 3(10z + 7) |\n\nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \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.  \n2(4 + 3b) 63n + 72 7f 36 + 90j  \n8m+11 14h+11 30(2 + 3g) 10(2 + 5i)  \n9k 6c 9(7 + 3e) 7d  \n20p + 60  \n1) 8 + 6b  \n2) c + c + c + c + c + c  \n3) d + d + d + d + d + d + d  \n4) 63 + 27e  \n5) f + f + f + f + f + f + f  \n6) 60 + 90g  \n7) 9h + 5h + 2 + 9  \n8) 20 + 50i  \n9) 9(4 + 10j)  \n10) k + k + k + k + k + k + k + k + k  \n11) 2 + 9 + 5m + 3m  \n12) 9(7n + 8)  \n13) 10(2p + 6)  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n9  \n1-10  \n11-13  \n92  \n15  \n85 77 8 0  \n69 62 54 46 38 31 23","cbCaiadjdcuk76ky","https://ap.wps.com/l/cbCaiadjdcuk76ky","pdf",44572,"English","# Apply the distributive property to produce an equivalent expression.\n## Question set (1-20)\n## Answer key","[{\"question\":\"What does the worksheet ask students to do with each expression?\",\"answer\":\"It asks students to apply the distributive property to produce an equivalent expression. Each item is rewritten into an equivalent form using distribution.\"},{\"question\":\"What kinds of expressions appear in the problems?\",\"answer\":\"The worksheet includes sums with repeated terms and expressions involving variables with coefficients, as well as products like a(b + c) that require distributing a factor across a group.\"},{\"question\":\"Is there an answer key included?\",\"answer\":\"Yes. The document includes an answer key listing the equivalent expressions for the problems so students can verify their work.\"}]","Applying Properties of Operations - Apply the distributive property | PDF"]