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The problems feature multiplication distributing over addition, converting sums inside parentheses into expanded products. Included item responses provide the corresponding simplified or restructured expressions using like terms with variable factors (e.g., b, c, d, e, f through z). An answer key section supports checking completion across problems 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skill does this worksheet practice?","Question",{"text":113,"@type":114},"It practices applying the distributive property to rewrite expressions into equivalent forms.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are the problems structured?",{"text":118,"@type":114},"Each problem gives an expression with multiplication outside parentheses or repeated addition, and the task is to produce an equivalent expression.",{"name":120,"@type":111,"acceptedAnswer":121},"Where can students verify their answers?",{"text":122,"@type":114},"The document includes an “Answer Key” section listing the correct equivalent expressions for items 1–20.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},465753,1790819023,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":144,"read_time":39},137441390410,"https://ap-avatar.wpscdn.com/avatar/2000252f4ab5702993?_k=1776741390130283984","Applying Properties of Operations  \nName:  \nApply the distributive property to produce an equivalent expression.  \n1) 40b + 40  \n2) 5(3 + 9c)  \n3) 7(3d + 3)  \n4) 7(8 + 7e)  \n5) 40 + 35f  \n6) 3(9 + 6g)  \n7) 7(2h + 9)  \n8) i + i + i + i + i + i + i + i  \n9) 36 + 18j  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \nAnswers  \n10) 10(9 + 4k)  \n11) 80 + 80m  \n12) 16 + 4n  \n13) 6 + 5 + 7p + 7p  \n14) r + r + r + r  \n15) 9(8 + 5t)  \n16) 10u + 9 + 7 + 2u  \n17) v + v + v + v + v + v + v + v + v  \n18) w + w + w + w + w + w + w + w + w  \n19) 4(4y + 7)  \n20) 42 + 30z  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nApplying Properties of Operations  \nName: Answer Key  \n\n| Apply the distributive property to produce an equivalent expression.\u003Cbr>1) 40b + 40 |  | Answers\u003Cbr>1. 40(1b + 1) |\n| --- | --- | --- |\n| 2) | 5(3 + 9c) | 2. 15 + 45c |\n| 3) | 7(3d + 3) | 3. 21d + 21 |\n| 4) | 7(8 + 7e) | 4.  56 + 49e  |\n| 5) | 40 + 35f | 5. 5(8 + 7f) |\n| 6) | 3(9 + 6g) | 6. 27 + 18g |\n| 7) | 7(2h + 9) | 7. 14h + 63 |\n| 8) | i + i + i + i + i + i + i + i | 8. 8i |\n| 9) | 36 + 18j | 9. 18(2 + 1j) |\n| 10) | 10(9 + 4k) | 10. 90 + 40k |\n| 11) | 80 + 80m |  |\n| 12) | 16 + 4n | 11.  80(1 + 1m)  |\n| 13) | 6 + 5 + 7p + 7p | 12.  4(4 + 1n) \u003Cbr>13. 14p+11 |\n| 14) | r + r + r + r |  |\n| 15) | 9(8 + 5t) | 14.  4r \u003Cbr>15. 72 + 45t |\n| 16) | 10u + 9 + 7 + 2u |  |\n| 17) | v + v + v + v + v + v + v + v + v | 16.  12u+16  |\n| 18) | w + w + w + w + w + w + w + w + w | 17.  9v  |\n| 19) | 4(4y + 7) | 18.  9w  |\n| 20) | 42 + 30z | 19.  16y + 28 \u003Cbr>20. 6(7 + 5z) |\n\nMath  \nSeed: 1380015100-46  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nApplying Properties of Operations  \nName:  \n\n| Apply the distributive property to produce an equivalent expression. | Answers\u003Cbr>1.  \u003Cbr>2.  \u003Cbr>3.  \u003Cbr>4.  \u003Cbr>5.  \u003Cbr>6.  \u003Cbr>7.  \u003Cbr>8.  \u003Cbr>9.  \u003Cbr>10.  \u003Cbr>11.  \u003Cbr>12.  \u003Cbr>13.   |\n| --- | --- |\n| \u003Cbr>14h + 63 18(2 + 1j) 8i 14p+11\u003Cbr>80(1 + 1m)\u003Cbr>27 + 18g 4(4 + 1n)\u003Cbr>5(8 + 7f) 40(1b + 1)\u003Cbr>90 + 40k\u003Cbr>56 + 49e 21d + 21\u003Cbr>15 + 45c |  |\n| 1) 40b + 40\u003Cbr>2) 5(3 + 9c)\u003Cbr>3) 7(3d + 3)\u003Cbr>4) 7(8 + 7e)\u003Cbr>5) 40 + 35f\u003Cbr>6) 3(9 + 6g)\u003Cbr>7) 7(2h + 9)\u003Cbr>8) i + i + i + i + i + i + i + i\u003Cbr>9) 36 + 18j\u003Cbr>10) 10(9 + 4k)\u003Cbr>11) 80 + 80m\u003Cbr>12) 16 + 4n\u003Cbr>13) 6 + 5 + 7p + 7p |  |\n\nMath  \nModified 1-10  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com) 11-13  \n\n| 92 | 85 | 77 | 69 | 62 | 54 | 46 | 38 | 31 | 23 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 15 | 8 | 0 |  |  |  |  |  |  |  |","cbCaiiT9JzV5BqTV","https://ap.wps.com/l/cbCaiiT9JzV5BqTV","pdf",44552,"English","# Apply the distributive property to produce an equivalent expression\n## Problems 1-20\n## Answer key","[{\"question\":\"What skill does this worksheet practice?\",\"answer\":\"It practices applying the distributive property to rewrite expressions into equivalent forms.\"},{\"question\":\"How are the problems structured?\",\"answer\":\"Each problem gives an expression with multiplication outside parentheses or repeated addition, and the task is to produce an equivalent expression.\"},{\"question\":\"Where can students verify their answers?\",\"answer\":\"The document includes an “Answer Key” section listing the correct equivalent expressions for items 1–20.\"}]","Applying Properties of Operations - Answer Key | PDF",1790770013]