[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-480831-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-480831-en":130},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","applying-properties-of-operations-distributive-property-practice","Applying Properties of Operations - Distributive Property Practice","","Distributive property practice sheet for generating equivalent expressions. The problems require rewriting products and sums, including forms like a(b+c) and repeated-variable addition, to produce simplified equivalent expressions. An answer key provides the resulting rewritten forms for items 1 through 20, using variable placeholders (e.g., h, r, p, m, a, v, t) to show correct expansion and combining. The worksheet supports step-by-step equivalence checking.",{"@graph":14,"@context":72},[15,34,55],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/applying-properties-of-operations-distributive-property-practice/480831/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/applying-properties-of-operations-distributive-property-practice/480831.png","ImageObject",300,407,{"name":42,"@type":43},"Bulrr","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":30},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What concept do these problems practice?","Question",{"text":62,"@type":63},"They practice applying the distributive property to produce equivalent expressions.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are answers presented for each problem?",{"text":67,"@type":63},"An answer key lists the equivalent rewritten expressions for problems 1 through 20.",{"name":69,"@type":60,"acceptedAnswer":70},"What types of expressions appear in the practice?",{"text":71,"@type":63},"The sheet includes sums with variables, repeated addition (e.g., f+f+...), and parentheses forms like 8(7+8m) that must be expanded.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},480831,1792935574,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":30,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":110},5909892115043,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Applying Properties of Operations  \nName:  \nApply the distributive property to produce an equivalent expression.  \n1) 18 + 18h  \n2) 72 + 32r  \n3) 12 + 20p  \n4) 8(7 + 8m)  \n5) 2(3a + 4)  \n6) f + f + f + f + f + f  \n7) 8(7v + 10)  \n8) c + c + c + c + c + c + c  \n9) 9(6 + 4t)  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \nAnswers  \n10) 9(9y + 10)  \n11) e + e + e + e + e + e + e + e + e  \n12) 7(4n + 9)  \n13) 3(5d + 4)  \n14) k + k + k + k + k + k + k + k  \n15) 18u + 18  \n16) 60 + 18s  \n17) 21b + 15  \n18) 9(6j + 4)  \n19) g + g + g + g + g + g + g + g + g  \n20) z + z + z + z + z + z + z + z + z  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \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) 18 + 18h  \n2) 72 + 32r  \n3) 12 + 20p  \n4) 8(7 + 8m)  \n5) 2(3a + 4)  \n6) f + f + f + f + f + f  \n7) 8(7v + 10)  \n8) c + c + c + c + c + c + c  \n9) 9(6 + 4t)  \n10) 9(9y + 10)  \n11) e + e + e + e + e + e + e + e + e  \n12) 7(4n + 9)  \n13) 3(5d + 4)  \n14) k + k + k + k + k + k + k + k  \n15) 18u + 18  \n16) 60 + 18s  \n17) 21b + 15  \n18) 9(6j + 4)  \n19) g + g + g + g + g + g + g + g + g  \n20) z + z + z + z + z + z + z + z + z  \nAnswers  \n1. 18(1 + 1h)  \n2. 8(9 + 4r)  \n3. 4(3 + 5p)  \n4. 56 + 64m  \n5. 6a + 8  \n6. 6f  \n7. 56v + 80  \n8. 7c  \n9. 54 + 36t  \n10. 81y + 90  \n11. 9e  \n12. 28n + 63  \n13. 15d + 12  \n14. 8k  \n15. 18(1u + 1)  \n16. 6(10 + 3s)  \n17. 3(7b + 5)  \n18. 54j + 36  \n19. 9g  \n20. 9z  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \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.  \n15d + 12 81y + 90 6f 56 + 64m  \n8(9 + 4r) 7c 28n + 63 56v + 80  \n54 + 36t 6a + 8 18(1 + 1h) 4(3 + 5p) 9e  \n1) 18 + 18h  \n2) 72 + 32r  \n3) 12 + 20p  \n4) 8(7 + 8m)  \n5) 2(3a + 4)  \n6) f + f + f + f + f + f  \n7) 8(7v + 10)  \n8) c + c + c + c + c + c + c  \n9) 9(6 + 4t)  \n10) 9(9y + 10)  \n11) e + e + e + e + e + e + e + e + e  \n12) 7(4n + 9)  \n13) 3(5d + 4)  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n7  \n1-10  \n11-13  \n92  \n15  \n85 77 8 0  \n69 62 54 46 38 31 23","cbCailssFlosXofC","https://ap.wps.com/l/cbCailssFlosXofC","pdf",44301,"English","# Applying Properties of Operations\n## Practice Problems (1-20)\n## Answers","[{\"question\":\"What concept do these problems practice?\",\"answer\":\"They practice applying the distributive property to produce equivalent expressions.\"},{\"question\":\"How are answers presented for each problem?\",\"answer\":\"An answer key lists the equivalent rewritten expressions for problems 1 through 20.\"},{\"question\":\"What types of expressions appear in the practice?\",\"answer\":\"The sheet includes sums with variables, repeated addition (e.g., f+f+...), and parentheses forms like 8(7+8m) that must be expanded.\"}]","Applying Properties of Operations - Distributive Property Practice | PDF",1790795671]