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Students are instructed to expand each given expression, including terms formed by coefficients and parentheses, with variables such as b, d, f, h, j, k, m, p, t, v, y, and z. 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An “Answer Key” section provides the expanded answers for the listed problems.",{"name":119,"@type":110,"acceptedAnswer":120},"What kinds of variables appear in the expressions?",{"text":121,"@type":113},"The expressions include multiple single-letter variables (e.g., b, d, f, h, j, k, m, p, t, v, y, z) combined with numerical coefficients inside parentheses.","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},467135,1792856535,{"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":29,"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},1099514068035,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Expanding Expressions  \nName:  \nExpand each expression.  \n1) 35 ( 35 b + 49 )  \n3) 27 ( 14 d + 15 )  \n5) - 24 ( 78 f - 47 )  \n7) - 25 ( 47 h + 37 )  \n9) 23 ( 34 j + 15 )  \n11) - 39 ( 78 m - 45 )  \n13) - 45 ( 68 p + 39 )  \n15) 25 ( 19 t - 72 )  \n17) 29 ( 34 v + 38 )  \n19) 35 ( 23 y + 14 )  \n2)  \n-  \n4) 4  \n7  \n6)  \n-  \n8) 2  \n9  \n10)  \n-  \n12)  \n-  \n14)  \n-  \n16)  \n-  \n18) 4 9  \n20) 2 7  \n46 (  \n( 68  \n34 (  \n( 34  \n37 (  \n24 (  \n46 (  \n39 (  \n( 3  \n6  \n( 3  \n5  \n7  \n8  \n6 c -  \n2  \n)  \ne +  \n1  \n8  \n)  \n-  \n1  \n3  \n1 g -  \n4  \ni  \n-  \n1  \n6  \n2  \n3  \n4  \n7  \n-  \n1  \n6  \nn  \nr  \nu  \n1  \n5  \nk  \n)  \n2  \n2  \n+ 46 )  \n- 24 )  \n- 46 )  \nw +  \n4  \n8  \n)  \nz +  \n2  \n3  \n)  \n)  \n)  \nAnswers  \n1.  \n2.  \n3.  \n4.  \n5.  \n6.  \n7.  \n8.  \n9.  \n10.  \n11.  \n12.  \n13.  \n14.  \n15.  \n16.  \n17.  \n18.  \n19.  \n20.  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nExpanding Expressions  \nName: Answer Key  \nExpand each expression.  \n1) 35 ( 35 b + 49 )  \n3) 27 ( 14 d + 15 )  \n5) - 24 ( 78 f - 47 )  \n7) - 25 ( 47 h + 37 )  \n9) 23 ( 34 j + 15 )  \n11) - 39 ( 78 m - 45 )  \n13) - 45 ( 68 p + 39 )  \n15) 25 ( 19 t - 72 )  \n17) 29 ( 34 v + 38 )  \n19) 35 ( 23 y + 14 )  \n2)  \n-  \n4) 4  \n7  \n6)  \n-  \n8) 2  \n9  \n10)  \n-  \n12)  \n-  \n14)  \n-  \n16)  \n-  \n18) 4 9  \n20) 2 7  \n46 (  \n( 68  \n34 (  \n( 34  \n37 (  \n24 (  \n46 (  \n39 (  \n( 3  \n6  \n( 3  \n5  \n7  \n8  \n6 c -  \n2  \n)  \ne +  \n1  \n8  \n)  \n-  \n1  \n3  \n1 g -  \n4  \ni  \n-  \n1  \n6  \n2  \n3  \n4  \n7  \n-  \n1  \n6  \nn  \nr  \nu  \n1  \n5  \nk  \n)  \n2  \n2  \n+ 46 )  \n- 24 )  \n- 46 )  \nw +  \n4  \n8  \n)  \nz +  \n2  \n3  \n)  \n)  \n)  \nAnswers  \n1. 925 b  \n28  \n- c  \n2. 48  \n3. 228 d  \n24  \ne 4. 56  \n5. - 1432 f 3  \n6. 12 g  \n7. - 835 h  \n6  \ni 8. 36  \n6  \n9. 12 j  \n10. 342 k  \n21  \n- m  \n11. 72  \n2  \n- n  \n12. 24  \n24  \n- p 13. 40  \n8  \n- r  \n14. 18  \n2  \nt 15. 45  \n12  \n- u  \n16. 63  \n6  \nv 17. 36  \n12 w  \n18. 54 6  \n19. 15 y  \n6  \nz 20. 35  \n+  \n+  \n+  \n+  \n+  \n+  \n-  \n12  \n45  \n24  \n12  \n2  \n35  \n4  \n56  \n8  \n28  \n3  \n16  \n6  \n35  \n2  \n-  \n+  \n+  \n45  \n2  \n15  \n6  \n14  \n+  \n-  \n-  \n+  \n12  \n45  \n8  \n24  \n12  \n45  \n8  \n24  \n-  \n+  \n+  \n+  \n+  \n+  \n14  \n10  \n12  \n54  \n6  \n72  \n16  \n72  \n3  \n20  \n4  \n21  \nMath  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-10 11-20  \n95  \n45  \n90  \n40  \n85  \n35  \n80  \n30  \n75  \n25  \n70  \n20  \n65  \n15  \n60  \n10  \n55  \n5  \n50  \n0  \nExpanding Expressions  \nName:  \n\n| Expand each expression.\u003Cbr>1) ~~ ~~35~~ ~~(~~ ~~35~~ ~~ b + ~~ ~~49~~ ~~)\u003Cbr>3) ~~ ~~27~~ ~~(~~ ~~14~~ ~~ d + ~~ ~~15~~ ~~)\u003Cbr>5) - ~~ ~~24~~ ~~(~~ ~~78~~ ~~ f - ~~ ~~47~~ ~~)\u003Cbr>7) - ~~ ~~25~~ ~~(~~ ~~47~~ ~~ h + ~~ ~~37~~ ~~)\u003Cbr>9) ~~ ~~23~~ ~~(~~ ~~34~~ ~~ j + ~~ ~~15~~ ~~) |  | 2)\u003Cbr>4)\u003Cbr>6)\u003Cbr>8)\u003Cbr>10) | - ~~ ~~46~~ ~~(~~ ~~78~~ ~~ c | - ~~ ~~62~~ ~~) | 1.\u003Cbr>2.\u003Cbr>3.\u003Cbr>4.\u003Cbr>5.\u003Cbr>6.\u003Cbr>7.\u003Cbr>8.\u003Cbr>9.\u003Cbr>10.\u003Cbr>11.\u003Cbr>12. | Answers\u003Cbr>|\n| --- | --- | --- | --- | --- | --- | --- |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  | ~~ ~~47~~ ~~(~~ ~~68~~ ~~ e + ~~ ~~18~~ ~~)\u003Cbr>- ~~ ~~34~~ ~~( - ~~ ~~13~~ ~~ g - ~~ ~~14~~ ~~)\u003Cbr>~~ ~~29~~ ~~(~~ ~~34~~ ~~ i - ~~ ~~15~~ ~~)\u003Cbr>- ~~ ~~37~~ ~~( - ~~ ~~16~~ ~~ k - ~~ ~~22~~ ~~) |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |\n| 11) - ~~ ~~39~~ ~~(~~ ~~78~~ ~~ m | - ~~ ~~45~~ ~~) | 12) | - ~~ ~~24~~ ~~(~~ ~~16~~ ~~ n + ~~ ~~46~~ ~~) |  |  |  |\n\nMath  \nModified  \n[www.CommonCoreSheets.com](www.CommonCoreSheets.com)  \n4  \n1-10 11-12  \n\n| 92 | 83 | 75 | 67 | 58 | 50 | 42 | 33 | 25 | 17 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 8 | 0 |  |  |  |  |  |  |  |  |","cbCairiKhZCRGSaN","https://ap.wps.com/l/cbCairiKhZCRGSaN","pdf",51888,"English","# Expand each expression\n## Answers","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"It asks students to expand each algebraic expression shown on the page, writing out the products inside parentheses.\"},{\"question\":\"Does the document include an answer key?\",\"answer\":\"Yes. An “Answer Key” section provides the expanded answers for the listed problems.\"},{\"question\":\"What kinds of variables appear in the expressions?\",\"answer\":\"The expressions include multiple single-letter variables (e.g., b, d, f, h, j, k, m, p, t, v, y, z) combined with numerical coefficients inside parentheses.\"}]","Expanding Expressions - Answer Key - Expand each expression | PDF",1790772371]