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Learners evaluate whether different parenthesized multiplication expressions are equivalent by selecting the matching equation from options A–D. An answer key is provided to verify choices for problems 1 through 12, supporting step-by-step checking of how grouping factors preserves products, including cases with zero. Suitable for math review and skill reinforcement.",{"@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-associative-property-of-multiplication-1-12-determine-equivalent-equations/480292/",{"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-associative-property-of-multiplication-1-12-determine-equivalent-equations/480292.png","ImageObject",300,407,{"name":92,"@type":93},"Aldword","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","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 these problems test?","Question",{"text":112,"@type":113},"They test understanding of the associative property of multiplication by checking whether expressions with different grouping are equivalent.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How should students answer each question?",{"text":117,"@type":113},"For each numbered item, choose the expression that is equivalent from options A through D.",{"name":119,"@type":110,"acceptedAnswer":120},"Where can students check their answers?",{"text":121,"@type":113},"The document includes an answer key listing the correct choice for questions 1–12.","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},480292,1792856458,{"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},2336478940917,"https://ap-avatar.wpscdn.com/davatar_6f874abed73319feea01a86fa6f0fab8","Finding Associative Property of Multiplication  \nName:  \n\n| Determine which choice is an equivalent equation. |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) Which expression is equal to 2) Which expression is equal to ( 10 × 7 ) × 4 ( 4 × 7 ) × 0\u003Cbr>A. ( 10 × 7 ) + 4 A. 4 × ( 7 × 0 )\u003Cbr>B. ( 10 + 7 ) × 4 B. 4 + ( 7 + 0 )\u003Cbr>C. ( 10 + 7 ) + 4 C. ( 4 + 7 ) + 0\u003Cbr>D. 10 × ( 7 × 4 ) D. ( 4 × 7 ) + 0\u003Cbr>3) Which expression is equal to 4) Which expression is equal to\u003Cbr>5 × ( 4 × 7 ) 9 × ( 5 × 2 )\u003Cbr>A. ( 5 + 4 ) + 7 A. ( 9 + 5 ) + 2\u003Cbr>B. ( 5 × 4 ) + 7 B. 9 + ( 5 + 2 ) |  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.   |  |  |  |\n| C. 5 + ( 4 × 7 )\u003Cbr>D. ( 5 × 4 ) × 7\u003Cbr>5) Which expression is equal to 6)\u003Cbr>10 × ( 2 × 9 )\u003Cbr>A. 10 × ( 2 + 9 )\u003Cbr>B. ( 10 × 2 ) × 9\u003Cbr>C. ( 10 × 2 ) + 9\u003Cbr>D. ( 10 + 2 ) × 9\u003Cbr>7) Which expression is equal to 8)( 9 × 5 ) × 3\u003Cbr>A. 9 + ( 5 + 3 ) |  | C. ( 9 × 5 ) × 2\u003Cbr>D. 9 + ( 5 × 2 )\u003Cbr>Which expression is equal to 10 × ( 5 × 6 )\u003Cbr>A. ( 10 × 5 ) × 6\u003Cbr>B. ( 10 + 5 ) + 6\u003Cbr>C. ( 10 + 5 ) × 6\u003Cbr>D. ( 10 × 5 ) + 6\u003Cbr>Which expression is equal to ( 6 × 7 ) × 3\u003Cbr>A. 6 × ( 7 + 3 ) |  |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.   |  |  |  |\n| B. ( 9 + 5 ) + 3\u003Cbr>C. 9 × ( 5 × 3 ) |  | B. ( 6 + 7 ) + 3\u003Cbr>C. 6 × ( 7 × 3 ) |  |  |  |  |  |  |  | 12.   |  |  |  |\n| D. ( 9 + 5 ) × 3 |  | D. 6 + ( 7 + 3 ) |  |  |  |  |  |  |  |  |  |  |  |\n| 9) Which expression is equal to 10) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |  |\n| 5 × ( 7 × 2 ) |  | 2 × ( 3 × 9 ) |  |  |  |  |  |  |  |  |  |  |  |\n| A. ( 5 × 7 ) × 2 |  | A. ( 2 × 3 ) + 9 |  |  |  |  |  |  |  |  |  |  |  |\n| B. ( 5 + 7 ) + 2 |  | B. ( 2 × 3 ) × 9 |  |  |  |  |  |  |  |  |  |  |  |\n| C. ( 5 × 7 ) + 2 |  | C. ( 2 + 3 ) + 9 |  |  |  |  |  |  |  |  |  |  |  |\n| D. ( 5 + 7 ) × 2 |  | D. ( 2 + 3 ) × 9 |  |  |  |  |  |  |  |  |  |  |  |\n| 11) Which expression is equal to 12) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |  |\n| ( 6 × 8 ) × 1 |  | ( 10 × 1 ) × 7 |  |  |  |  |  |  |  |  |  |  |  |\n| A. 6 × ( 8 × 1 ) |  | A. 10 × ( 1 × 7 ) |  |  |  |  |  |  |  |  |  |  |  |\n| B. 6 × ( 8 + 1 ) |  | B. 10 × ( 1 + 7 ) |  |  |  |  |  |  |  |  |  |  |  |\n| C. 6 + ( 8 + 1 ) |  | C. ( 10 + 1 ) × 7 |  |  |  |  |  |  |  |  |  |  |  |\n| D. ( 6 × 8 ) + 1 |  | D. ( 10 × 1 ) + 7 |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 2 | 1-10\u003Cbr>11-12 | 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n|  |  |  |  | 8 | 0 |  |  |  |  |  |  |  |  |\n\nFinding Associative Property of Multiplication  \nName: Answer Key  \n\n| Determine which choice is an equivalent equation. |  |  |  |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) Which expression is equal to 2) Which expression is equal to ( 10 × 7 ) × 4 ( 4 × 7 ) × 0\u003Cbr>A. ( 10 × 7 ) + 4 A. 4 × ( 7 × 0 )\u003Cbr>B. ( 10 + 7 ) × 4 B. 4 + ( 7 + 0 )\u003Cbr>C. ( 10 + 7 ) + 4 C. ( 4 + 7 ) + 0\u003Cbr>D. 10 × ( 7 × 4 ) D. ( 4 × 7 ) + 0\u003Cbr>3) Which expression is equal to 4) Which expression is equal to\u003Cbr>5 × ( 4 × 7 ) 9 × ( 5 × 2 )\u003Cbr>A. ( 5 + 4 ) + 7 A. ( 9 + 5 ) + 2\u003Cbr>B. ( 5 × 4 ) + 7 B. 9 + ( 5 + 2 ) |  |  |  |  |  |  |  |  |  | 1.  D \u003Cbr>2.  A \u003Cbr>3.  D \u003Cbr>4.  C \u003Cbr>5.  B  |  |  |  |\n| C. 5 + ( 4 × 7 )\u003Cbr>D. ( 5 × 4 ) × 7\u003Cbr>5) Which expression is equal to 6)\u003Cbr>10 × ( 2 × 9 )\u003Cbr>A. 10 × ( 2 + 9 )\u003Cbr>B. ( 10 × 2 ) × 9\u003Cbr>C. ( 10 × 2 ) + 9\u003Cbr>D. ( 10 + 2 ) × 9\u003Cbr>7) Which expression is equal to 8)( 9 × 5 ) × 3\u003Cbr>A. 9 + ( 5 + 3 ) |  | C. ( 9 × 5 ) × 2\u003Cbr>D. 9 + ( 5 × 2 )\u003Cbr>Which expression is equal to 10 × ( 5 × 6 )\u003Cbr>A. ( 10 × 5 ) × 6\u003Cbr>B. ( 10 + 5 ) + 6\u003Cbr>C. ( 10 + 5 ) × 6\u003Cbr>D. ( 10 × 5 ) + 6\u003Cbr>Which expression is equal to ( 6 × 7 ) × 3\u003Cbr>A. 6 × ( 7 + 3 ) |  |  |  |  |  |  |  | 6.  A \u003Cbr>7.  C \u003Cbr>8.  C \u003Cbr>9.  A \u003Cbr>10.  B \u003Cbr>11.  A  |  |  | ","cbCaiuFuOHNULFXJ","https://ap.wps.com/l/cbCaiuFuOHNULFXJ","pdf",43489,"English","# Determine Equivalent Equations\n## Questions 1-12\n## Answer Key","[{\"question\":\"What skill do these problems test?\",\"answer\":\"They test understanding of the associative property of multiplication by checking whether expressions with different grouping are equivalent.\"},{\"question\":\"How should students answer each question?\",\"answer\":\"For each numbered item, choose the expression that is equivalent from options A through D.\"},{\"question\":\"Where can students check their answers?\",\"answer\":\"The document includes an answer key listing the correct choice for questions 1–12.\"}]","Finding Associative Property of Multiplication - 1-12 - Determine Equivalent Equations | PDF",1790794761]