[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-480582-105":59,"doc-detail-480582-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","finding-an-equivalent-expression-with-the-distributive-property","Finding an Equivalent Expression with the Distributive Property","","Worksheet content focuses on the distributive property by asking students to determine which algebraic expression form is equivalent to given sums of products. Twelve problems present expressions like (a × b) + (a × c) with multiple-choice options using either regrouping, addition inside parentheses, or multiplying binomials. An answer key section provides the correct selected option letter for each item, supporting self-check and targeted practice on equivalence transformations.",{"@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/finding-an-equivalent-expression-with-the-distributive-property/480582/",{"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/finding-an-equivalent-expression-with-the-distributive-property/480582.png","ImageObject",300,407,{"name":92,"@type":93},"Mary Man","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-04","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What skill do the problems test?","Question",{"text":112,"@type":113},"They test recognizing equivalent expressions produced by applying the distributive property and regrouping terms correctly.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How are the questions structured?",{"text":117,"@type":113},"Each question gives an expression like (a × b) + (a × c) and offers multiple-choice options A–D to select the equivalent form.",{"name":119,"@type":110,"acceptedAnswer":120},"Is an answer key included?",{"text":121,"@type":113},"Yes. An answer key lists the correct option letter for each numbered problem to allow checking results.","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},480582,1792811549,{"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":19,"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},7421720224475,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Finding an Equivalent Expression with the Distributive Property Name:  \n\n| Determine which expression is equivalent to each expression shown.\u003Cbr>1) Which expression is equivalent to (9 × 3) + (9 × 12)?\u003Cbr>A. 9 + (3 + 12) B. 9 × (3 + 12) C. 9 + (3 × 12) |  | D. 9 × (3 × 12) |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 2) | Which expression is equivalent to (5 × 8) + (5 × 6)?\u003Cbr>A. 5 × (8 + 6) B. 5 + (8 × 6) C. 5 + (8 + 6) | D. 5 × (8 × 6) |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | Which expression is equivalent to (7 × 2) + (7 × 10)?\u003Cbr>A. 7 + (2 × 10) B. 7 × (2 + 10) C. 7 + (2 + 10) | D. 7 × (2 × 10) |  |  |  |  |  |  | 4.   |  |  |  |\n| 4) | Which expression is equivalent to (4 × 6) + (4 × 3)?\u003Cbr>A. 4 + (6 + 3) B. 4 × (6 × 3) C. 4 + (6 × 3) | D. 4 × (6 + 3) |  |  |  |  |  |  | 5.  \u003Cbr>6.   |  |  |  |\n| 5) | Which expression is equivalent to (11 × 8) + (11 × 4)?\u003Cbr>A. 11 × (8 + 4) B. 11 + (8 + 4) C. 11 + (8 × 4) | D. 11 × (8 × 4) |  |  |  |  |  |  | 7.  \u003Cbr>8. |  |  |  |\n| 6) | Which expression is equivalent to (9 × 10) + (9 × 8)?\u003Cbr>A. 9 × (10 + 8) B. 9 + (10 × 8) C. 9 × (10 × 8) | D. 9 + (10 + 8) |  |  |  |  |  |  | 9.   |  |  |  |\n| 7) | Which expression is equivalent to (3 × 6) + (3 × 2)?\u003Cbr>A. 3 × (6 × 2) B. 3 + (6 + 2) C. 3 × (6 + 2) | D. 3 + (6 × 2) |  |  |  |  |  |  | 10.  \u003Cbr>11.   |  |  |  |\n| 8) | Which expression is equivalent to (4 × 3) + (4 × 7)?\u003Cbr>A. 4 × (3 + 7) B. 4 + (3 + 7) C. 4 + (3 × 7) | D. 4 × (3 × 7) |  |  |  |  |  |  | 12.   |  |  |  |\n| 9) | Which expression is equivalent to (6 × 3) + (6 × 6)?\u003Cbr>A. 6 + (3 + 6) B. 6 × (3 + 6) C. 6 × (3 × 6) | D. 6 + (3 × 6) |  |  |  |  |  |  |  |  |  |  |\n| 10) | Which expression is equivalent to (7 × 3) + (7 × 9)?\u003Cbr>A. 7 × (3 + 9) B. 7 + (3 + 9) C. 7 × (3 × 9) | D. 7 + (3 × 9) |  |  |  |  |  |  |  |  |  |  |\n| 11) | Which expression is equivalent to (2 × 11) + (2 × 8)?\u003Cbr>A. 2 × (11 + 8) B. 2 × (11 × 8) C. 2 + (11 + 8) | D. 2 + (11 × 8) |  |  |  |  |  |  |  |  |  |  |\n| 12) | Which expression is equivalent to (8 × 8) + (8 × 9)?\u003Cbr>A. 8 + (8 + 9) B. 8 + (8 × 9) C. 8 × (8 × 9) | D. 8 × (8 + 9) |  |  |  |  |  |  |  |  |  |  |\n|  | [Math](Math www.CommonCoreSheets.com 2)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 2)[ 2](Math www.CommonCoreSheets.com 2) | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nFinding an Equivalent Expression with the Distributive Property Name: Answer Key  \n\n| Determine which expression is equivalent to each expression shown.\u003Cbr>1) Which expression is equivalent to (9 × 3) + (9 × 12)?\u003Cbr>A. 9 + (3 + 12) B. 9 × (3 + 12) C. 9 + (3 × 12) |  | D. 9 × (3 × 12) |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  | 1.  B  |  |  |  |\n| 2) | Which expression is equivalent to (5 × 8) + (5 × 6)?\u003Cbr>A. 5 × (8 + 6) B. 5 + (8 × 6) C. 5 + (8 + 6) | D. 5 × (8 × 6) |  |  |  |  |  |  | 2.  A \u003Cbr>3.  B  |  |  |  |\n| 3) | Which expression is equivalent to (7 × 2) + (7 × 10)?\u003Cbr>A. 7 + (2 × 10) B. 7 × (2 + 10) C. 7 + (2 + 10) | D. 7 × (2 × 10) |  |  |  |  |  |  | 4.  D  |  |  |  |\n| 4) | Which expression is equivalent to (4 × 6) + (4 × 3)?\u003Cbr>A. 4 + (6 + 3) B. 4 × (6 × 3) C. 4 + (6 × 3) | D. 4 × (6 + 3) |  |  |  |  |  |  | 5.  A \u003Cbr>6.  A  |  |  |  |\n| 5) | Which expression is equivalent to (11 × 8) + (11 × 4)?\u003Cbr>A. 11 × (8 + 4) B. 11 + (8 + 4) C. 11 + (8 × 4) | D. 11 × (8 × 4) |  |  |  |  |  |  | 7.  C \u003Cbr>8. A |  |  |  |\n| 6) | Which expression is equivalent to (9 × 10) + (9 × 8)?\u003Cbr>A. 9 × (10 + 8) B. 9 + (10 × 8) C. 9 × (10 × 8) | D. 9 + (10 + 8) |  |  |  |  |  |  | 9.  B  |  |  |  |\n| 7) | Which expression is equivalent to (3 × 6) + (3 × 2)?\u003Cbr>A. 3 × (6 × 2) B. 3 + (6 + 2) C. 3 × (6 + 2) | D. 3 + (6 × 2) |  |  |  |  |  |  | 10.  A \u003Cbr>11.  A  |  |  |  |\n| 8) | Whic","cbCaipKbD9lbyIYj","https://ap.wps.com/l/cbCaipKbD9lbyIYj","pdf",43188,"English","# Determine Equivalent Expressions\n## Problems 1-12\n# Answer Key","[{\"question\":\"What skill do the problems test?\",\"answer\":\"They test recognizing equivalent expressions produced by applying the distributive property and regrouping terms correctly.\"},{\"question\":\"How are the questions structured?\",\"answer\":\"Each question gives an expression like (a × b) + (a × c) and offers multiple-choice options A–D to select the equivalent form.\"},{\"question\":\"Is an answer key included?\",\"answer\":\"Yes. An answer key lists the correct option letter for each numbered problem to allow checking results.\"}]","Finding an Equivalent Expression with the Distributive Property | PDF",1790795245]