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Each problem presents a target expression formed by a sum of two products, then offers multiple-choice options that vary the grouping and distribution of factors. The material systematically tests equivalence across several numeric pairs, helping students recognize how regrouping multiplication and addition yields the same 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correct option for each problem.","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},480579,1790822486,{"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":39,"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},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 (6 × 7) + (6 × 8)?\u003Cbr>A. 6 × (7 × 8) B. 6 × (7 + 8) C. 6 + (7 + 8) |  | D. 6 + (7 × 8) |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  | 1.   |  |  |  |\n| 2) | Which expression is equivalent to (10 × 12) + (10 × 6)?\u003Cbr>A. 10 + (12 + 6) B. 10 × (12 × 6) C. 10 + (12 × 6) | D. 10 × (12 + 6) |  |  |  |  |  |  | 2.  \u003Cbr>3.   |  |  |  |\n| 3) | Which expression is equivalent to (8 × 2) + (8 × 12)?\u003Cbr>A. 8 × (2 × 12) B. 8 + (2 × 12) C. 8 × (2 + 12) | D. 8 + (2 + 12) |  |  |  |  |  |  | 4.   |  |  |  |\n| 4) | Which expression is equivalent to (2 × 3) + (2 × 8)?\u003Cbr>A. 2 + (3 + 8) B. 2 + (3 × 8) C. 2 × (3 × 8) | D. 2 × (3 + 8) |  |  |  |  |  |  | 5.  \u003Cbr>6.   |  |  |  |\n| 5) | Which expression is equivalent to (2 × 8) + (2 × 7)?\u003Cbr>A. 2 × (8 × 7) B. 2 + (8 × 7) C. 2 × (8 + 7) | D. 2 + (8 + 7) |  |  |  |  |  |  | 7.  \u003Cbr>8. |  |  |  |\n| 6) | Which expression is equivalent to (5 × 10) + (5 × 7)?\u003Cbr>A. 5 + (10 + 7) B. 5 × (10 + 7) C. 5 × (10 × 7) | D. 5 + (10 × 7) |  |  |  |  |  |  | 9.   |  |  |  |\n| 7) | Which expression is equivalent to (4 × 5) + (4 × 3)?\u003Cbr>A. 4 + (5 + 3) B. 4 × (5 × 3) C. 4 × (5 + 3) | D. 4 + (5 × 3) |  |  |  |  |  |  | 10.  \u003Cbr>11.   |  |  |  |\n| 8) | Which expression is equivalent to (11 × 11) + (11 × 6)?\u003Cbr>A. 11 + (11 × 6) B. 11 × (11 × 6) C. 11 + (11 + 6) | D. 11 × (11 + 6) |  |  |  |  |  |  | 12.   |  |  |  |\n| 9) | Which expression is equivalent to (3 × 11) + (3 × 3)?\u003Cbr>A. 3 + (11 + 3) B. 3 × (11 × 3) C. 3 + (11 × 3) | D. 3 × (11 + 3) |  |  |  |  |  |  |  |  |  |  |\n| 10) | Which expression is equivalent to (5 × 2) + (5 × 5)?\u003Cbr>A. 5 + (2 + 5) B. 5 × (2 × 5) C. 5 + (2 × 5) | D. 5 × (2 + 5) |  |  |  |  |  |  |  |  |  |  |\n| 11) | Which expression is equivalent to (9 × 7) + (9 × 5)?\u003Cbr>A. 9 + (7 + 5) B. 9 × (7 × 5) C. 9 + (7 × 5) | D. 9 × (7 + 5) |  |  |  |  |  |  |  |  |  |  |\n| 12) | Which expression is equivalent to (2 × 12) + (2 × 10)?\u003Cbr>A. 2 × (12 × 10) B. 2 + (12 × 10) C. 2 × (12 + 10) | D. 2 + (12 + 10) |  |  |  |  |  |  |  |  |  |  |\n|  | [Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1) | 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 (6 × 7) + (6 × 8)?\u003Cbr>A. 6 × (7 × 8) B. 6 × (7 + 8) C. 6 + (7 + 8) |  | D. 6 + (7 × 8) |  |  |  |  |  |  | Answers |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |  |  | 1.  B  |  |  |  |\n| 2) | Which expression is equivalent to (10 × 12) + (10 × 6)?\u003Cbr>A. 10 + (12 + 6) B. 10 × (12 × 6) C. 10 + (12 × 6) | D. 10 × (12 + 6) |  |  |  |  |  |  | 2.  D \u003Cbr>3.  C  |  |  |  |\n| 3) | Which expression is equivalent to (8 × 2) + (8 × 12)?\u003Cbr>A. 8 × (2 × 12) B. 8 + (2 × 12) C. 8 × (2 + 12) | D. 8 + (2 + 12) |  |  |  |  |  |  | 4.  D  |  |  |  |\n| 4) | Which expression is equivalent to (2 × 3) + (2 × 8)?\u003Cbr>A. 2 + (3 + 8) B. 2 + (3 × 8) C. 2 × (3 × 8) | D. 2 × (3 + 8) |  |  |  |  |  |  | 5.  C \u003Cbr>6.  B  |  |  |  |\n| 5) | Which expression is equivalent to (2 × 8) + (2 × 7)?\u003Cbr>A. 2 × (8 × 7) B. 2 + (8 × 7) C. 2 × (8 + 7) | D. 2 + (8 + 7) |  |  |  |  |  |  | 7.  C \u003Cbr>8. D |  |  |  |\n| 6) | Which expression is equivalent to (5 × 10) + (5 × 7)?\u003Cbr>A. 5 + (10 + 7) B. 5 × (10 + 7) C. 5 × (10 × 7) | D. 5 + (10 × 7) |  |  |  |  |  |  | 9.  D  |  |  |  |\n| 7) | Which expression is equivalent to (4 × 5) + (4 × 3)?\u003Cbr>A. 4 + (5 + 3) B. 4 × (5 × 3) C. 4 × (5 + 3) | D. 4 + (5 × 3) |  |  |  |  |  |  | 10.  D \u003Cbr>11.  D  |","cbCaiqyW42rSXi5S","https://ap.wps.com/l/cbCaiqyW42rSXi5S","pdf",438022,"English","# Determine Equivalent Expressions\n## Problem Set (1-12)\n## Answer Key","[{\"question\":\"What does the distributive property help you do in these problems?\",\"answer\":\"It lets you rewrite expressions by distributing multiplication over addition, producing an equivalent form.\"},{\"question\":\"How are the answer choices for each question structured?\",\"answer\":\"Each choice changes where multiplication is distributed or how the terms are grouped, while still aiming for the same overall value.\"},{\"question\":\"Where can students find the correct answers?\",\"answer\":\"The document includes an “Answer Key” section that lists the correct option for each problem.\"}]","Finding an Equivalent Expression with the Distributive Property - Answer Key | PDF",1790795238,76]