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The worksheet presents multiple items where products are regrouped using parentheses, asking learners to match each target expression with the equivalent form. An accompanying answer key lists the correct choices for problems 1–12, supporting self-check and teacher verification of students’ understanding.",{"@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-determine-equivalent-equations/480289/",{"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-determine-equivalent-equations/480289.png","ImageObject",300,407,{"name":92,"@type":93},"Aldword","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-31","2026-09-30",true,{"@type":102,"interactionType":103,"userInteractionCount":34},"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?","Question",{"text":112,"@type":113},"Students determine which option (A–D) produces an equivalent equation for each given multiplication expression.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How is the associative property used in these problems?",{"text":117,"@type":113},"The expressions regroup factors using parentheses (for example, changing the grouping of multiplications) while remaining equivalent under the associative property.",{"name":119,"@type":110,"acceptedAnswer":120},"Where are the correct answers provided?",{"text":121,"@type":113},"An answer key section lists the correct choice for each problem number, covering items 1 through 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},480289,1790822484,{"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":34,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":41,"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":144},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 ( 2 × 4 ) × 9 ( 3 × 2 ) × 9\u003Cbr>A. 2 × ( 4 × 9 ) A. 3 + ( 2 + 9 )\u003Cbr>B. ( 2 + 4 ) + 9 B. 3 + ( 2 × 9 )\u003Cbr>C. ( 2 × 4 ) + 9 C. 3 × ( 2 × 9 )\u003Cbr>D. 2 × ( 4 + 9 ) D. 3 × ( 2 + 9 )\u003Cbr>3) Which expression is equal to 4) Which expression is equal to ( 10 × 8 ) × 5 ( 4 × 5 ) × 3\u003Cbr>A. 10 + ( 8 × 5 ) A. ( 4 × 5 ) + 3\u003Cbr>B. 10 × ( 8 × 5 ) B. 4 + ( 5 + 3 ) |  |  |  |  |  |  |  |  |  | 1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.   |  |  |  |\n| C. ( 10 + 8 ) + 5\u003Cbr>D. 10 + ( 8 + 5 )\u003Cbr>5) Which expression is equal to 6)\u003Cbr>3 × ( 5 × 4 )\u003Cbr>A. 3 + ( 5 + 4 )\u003Cbr>B. ( 3 + 5 ) + 4\u003Cbr>C. ( 3 × 5 ) × 4\u003Cbr>D. 3 + ( 5 × 4 )\u003Cbr>7) Which expression is equal to 8)\u003Cbr>4 × ( 6 × 2 )\u003Cbr>A. ( 4 × 6 ) × 2 |  | C. 4 × ( 5 + 3 )\u003Cbr>D. 4 × ( 5 × 3 )\u003Cbr>Which expression is equal to 3 × ( 7 × 1 )\u003Cbr>A. ( 3 + 7 ) × 1\u003Cbr>B. 3 × ( 7 + 1 )\u003Cbr>C. ( 3 × 7 ) × 1\u003Cbr>D. ( 3 + 7 ) + 1\u003Cbr>Which expression is equal to ( 6 × 0 ) × 5\u003Cbr>A. ( 6 + 0 ) + 5 |  |  |  |  |  |  |  | 6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.   |  |  |  |\n| B. ( 4 + 6 ) + 2\u003Cbr>C. 4 + ( 6 × 2 ) |  | B. ( 6 + 0 ) × 5\u003Cbr>C. 6 × ( 0 × 5 ) |  |  |  |  |  |  |  | 12.   |  |  |  |\n| D. 4 + ( 6 + 2 ) |  | D. 6 × ( 0 + 5 ) |  |  |  |  |  |  |  |  |  |  |  |\n| 9) Which expression is equal to 10) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |  |\n| ( 10 × 1 ) × 3 |  | 10 × ( 3 × 7 ) |  |  |  |  |  |  |  |  |  |  |  |\n| A. 10 × ( 1 × 3 ) |  | A. 10 + ( 3 + 7 ) |  |  |  |  |  |  |  |  |  |  |  |\n| B. 10 × ( 1 + 3 ) |  | B. ( 10 + 3 ) × 7 |  |  |  |  |  |  |  |  |  |  |  |\n| C. ( 10 × 1 ) + 3 |  | C. ( 10 × 3 ) × 7 |  |  |  |  |  |  |  |  |  |  |  |\n| D. ( 10 + 1 ) × 3 |  | D. 10 + ( 3 × 7 ) |  |  |  |  |  |  |  |  |  |  |  |\n| 11) Which expression is equal to 12) |  | Which expression is equal to |  |  |  |  |  |  |  |  |  |  |  |\n| ( 5 × 4 ) × 3 |  | 5 × ( 4 × 2 ) |  |  |  |  |  |  |  |  |  |  |  |\n| A. 5 × ( 4 × 3 ) |  | A. 5 + ( 4 + 2 ) |  |  |  |  |  |  |  |  |  |  |  |\n| B. 5 + ( 4 × 3 ) |  | B. ( 5 × 4 ) × 2 |  |  |  |  |  |  |  |  |  |  |  |\n| C. ( 5 × 4 ) + 3 |  | C. ( 5 + 4 ) + 2 |  |  |  |  |  |  |  |  |  |  |  |\n| D. 5 × ( 4 + 3 ) |  | D. ( 5 + 4 ) × 2 |  |  |  |  |  |  |  |  |  |  |  |\n| \u003Cbr>Math | [www.CommonCoreSheets.com](www.CommonCoreSheets.com) | 1 | 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 ( 2 × 4 ) × 9 ( 3 × 2 ) × 9\u003Cbr>A. 2 × ( 4 × 9 ) A. 3 + ( 2 + 9 )\u003Cbr>B. ( 2 + 4 ) + 9 B. 3 + ( 2 × 9 )\u003Cbr>C. ( 2 × 4 ) + 9 C. 3 × ( 2 × 9 )\u003Cbr>D. 2 × ( 4 + 9 ) D. 3 × ( 2 + 9 )\u003Cbr>3) Which expression is equal to 4) Which expression is equal to ( 10 × 8 ) × 5 ( 4 × 5 ) × 3\u003Cbr>A. 10 + ( 8 × 5 ) A. ( 4 × 5 ) + 3\u003Cbr>B. 10 × ( 8 × 5 ) B. 4 + ( 5 + 3 ) |  |  |  |  |  |  |  |  |  | 1.  A \u003Cbr>2.  C \u003Cbr>3.  B \u003Cbr>4.  D \u003Cbr>5.  C  |  |  |  |\n| C. ( 10 + 8 ) + 5\u003Cbr>D. 10 + ( 8 + 5 )\u003Cbr>5) Which expression is equal to 6)\u003Cbr>3 × ( 5 × 4 )\u003Cbr>A. 3 + ( 5 + 4 )\u003Cbr>B. ( 3 + 5 ) + 4\u003Cbr>C. ( 3 × 5 ) × 4\u003Cbr>D. 3 + ( 5 × 4 )\u003Cbr>7) Which expression is equal to 8)\u003Cbr>4 × ( 6 × 2 )\u003Cbr>A. ( 4 × 6 ) × 2 |  | C. 4 × ( 5 + 3 )\u003Cbr>D. 4 × ( 5 × 3 )\u003Cbr>Which expression is equal to 3 × ( 7 × 1 )\u003Cbr>A. ( 3 + 7 ) × 1\u003Cbr>B. 3 × ( 7 + 1 )\u003Cbr>C. ( 3 × 7 ) × 1\u003Cbr>D. ( 3 + 7 ) + 1\u003Cbr>Which expression is equal to ( 6 × 0 ) × 5\u003Cbr>A. ( 6 + 0 ) + 5 |  |  |  |  |  |  |  | 6.  C \u003Cbr>7.  A \u003Cbr>8.  C \u003Cbr>9.  A \u003Cbr>10.  C \u003Cbr>11.  A  |  |  |  |\n| B. ( 4 +","cbCainnMITZzmtti","https://ap.wps.com/l/cbCainnMITZzmtti","pdf",441611,"English","# Determine which choice is an equivalent equation\n## Items 1-12","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"Students determine which option (A–D) produces an equivalent equation for each given multiplication expression.\"},{\"question\":\"How is the associative property used in these problems?\",\"answer\":\"The expressions regroup factors using parentheses (for example, changing the grouping of multiplications) while remaining equivalent under the associative property.\"},{\"question\":\"Where are the correct answers provided?\",\"answer\":\"An answer key section lists the correct choice for each problem number, covering items 1 through 12.\"}]","Finding Associative Property of Multiplication - Determine Equivalent Equations | PDF",1790794756,76]