[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-358887-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-358887-en":131},{"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":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","distributive-property-with-negatives-math-practice-worksheet","Distributive Property with Negatives - Math Practice Worksheet","","This educational document provides a structured practice worksheet focused on applying the distributive property in algebraic expressions involving negative numbers. It includes sixteen specific practice problems and one challenge problem designed to test a student's understanding of sign rules when multiplying negative integers. Comprehensive instructions and an answer key are included to facilitate self-assessment and mastery of algebraic simplification. The material is intended for K-12 students seeking to improve their mathematical proficiency in basic algebra operations through targeted, repetitive practice and error analysis.",{"@graph":14,"@context":73},[15,34,56],{"@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/distributive-property-with-negatives-math-practice-worksheet/358887/",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/distributive-property-with-negatives-math-practice-worksheet/358887.png","ImageObject",300,407,{"name":42,"@type":43},"Ophelia","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-09","2026-09-23",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",32,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the core rule for signs when using the distributive property with negatives?","Question",{"text":63,"@type":64},"A negative times a positive equals a negative, and a negative times a negative equals a positive.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How does the distributive property apply to the expression -3(x - 4)?",{"text":68,"@type":64},"You multiply -3 by x to get -3x, and -3 by -4 to get +12, resulting in -3x + 12.",{"name":70,"@type":61,"acceptedAnswer":71},"What common error does the challenge problem highlight?",{"text":72,"@type":64},"The student failed to change the sign of the second term when multiplying by a negative number, incorrectly getting -15 instead of +15.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},358887,1790313560,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":96,"preview_page_count":4},7971461741311,"https://ap-avatar.wpscdn.com/avatar/74000253aff267980c6?x-image-process=image/resize,m_fixed,w_180,h_180&k=1779345379180704826","Name:  \n______________________________________  \nDistributive Property with Negatives (A)  \nNote: A negative times a positive = negative, a negative times a negative = positive.  \nExample: −3(x − 4) = −3x + 12.  \nDirections: Apply the Distributive Property. Pay close attention to the signs. Simplify your answer.  \n1.) −2(x + 3) =   2.) −4(x − 5) =    \n3.) −3(2x + 1) =   4.) −5(x − 4) =    \n5.) −(x + 7) =   6.) −6(x + 2) =    \n7.) −3(4x − 3) =   8.) −2(5x + 6) =    \n9.) −(3x − 8) =   10.) −7(2x + 1) =    \n11.) −4(3x − 5) =   12.) −5(x + 9) =    \n13.) −2(6x − 7) =   14.) −8(3x + 2) =    \n15.) −3(5x − 4) =   16.) −6(4x + 3) =    \n17.) Challenge Problem:  \nA student expanded −3(2x − 5) and got: −6x − 15  \nWhat mistake did the student make? Show and explain the correct answer.  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nAnswers:  \n1.) −2(x + 3) = −2x − 6  \n2.) −4(x − 5) = −4x + 20  \n3.) −3(2x + 1) = −6x − 3  \n4.) −5(x − 4) = −5x + 20  \n5.) −(x + 7) = −x − 7  \n6.) −6(x + 2) = −6x − 12  \n7.) −3(4x − 3) = −12x + 9  \n8.) −2(5x + 6) = −10x − 12  \n9.) −(3x − 8) = −3x + 8  \n10.) −7(2x + 1) = −14x − 7  \n11.) −4(3x − 5) = −12x + 20  \n12.) −5(x + 9) = −5x − 45  \n13.) −2(6x − 7) = −12x + 14  \n14.) −8(3x + 2) = −24x − 16  \n15.) −3(5x − 4) = −15x + 12  \n16.) −6(4x + 3) = −24x − 18  \n17.) Challenge: −3(2x − 5): student wrote −6x − 15, but −3 × (−5) = +15. Correct: −6x + 15  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaidvlK3wZK9g7","https://ap.wps.com/l/cbCaidvlK3wZK9g7","pdf",658133,"English","# Practice Problems\n## Challenge Problem\n# Answer Key","[{\"question\":\"What is the core rule for signs when using the distributive property with negatives?\",\"answer\":\"A negative times a positive equals a negative, and a negative times a negative equals a positive.\"},{\"question\":\"How does the distributive property apply to the expression -3(x - 4)?\",\"answer\":\"You multiply -3 by x to get -3x, and -3 by -4 to get +12, resulting in -3x + 12.\"},{\"question\":\"What common error does the challenge problem highlight?\",\"answer\":\"The student failed to change the sign of the second term when multiplying by a negative number, incorrectly getting -15 instead of +15.\"}]","Distributive Property with Negatives - Math Practice Worksheet | PDF",1790135547]