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The problems use variables such as u, v, a, b, n, m, x, y and require combining like terms, simplifying coefficients, and rewriting expressions in reduced forms. Multiple items cover fraction-style rational expressions, including products and expanded forms, with an emphasis on correct distribution and sign 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coefficients, and like terms.","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},522441,1791711295,{"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":19,"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":52,"preview_page_count":4},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Kuta Software-Infinite Algebra 1 Name   \nAdding + Subtracting Rational Expressions Date  Period   \nSimplify each expression.  \nu + 5v   u − 6v   5n   2m + 4n  \n1) 2 2 − 2 2 2) +  \n8v u 8v u 30m 30m  \na + 2b   5a + 4b   x + y   6x + y  \n3) − 4) −  \n6a3 6a3 18xy 18xy  \n 4a − 5   a − 1   5x − 4   x + 6   \n5) + 6) −  \n6a2 + 30a 6a2 + 30a 9x3 + 27x2 9x3 + 27x2  \n b − 3   4b   n − 4   n + 1   \n7) + 8) 2 + 2  \n12b + 18 12b + 18 n − n − 20 n − n − 20  \n7x   x − 2   8   4   \n9) − 10) + 2  \n2x 20x + 16 7v − 6 3v  \n11) 7v8 − 8v5v~~ ~~−~~ ~~42~~ ~~ 12) n~~ ~~~~ ~~7 − n~~ ~~~~ ~~2  \n13)  7  −  7  14)  6  −  7   \n3n2 + 24n 2n v − 2 2v + 7  \n6x   7   5v   5   \n15) + 16) +  \n3 15x + 3 v − 3 v + 6  \n 4x   5   2   6x   \n17) − 18) −  \nx 2 + 4x − 5 4 x + 3 2x + 1  \n 4x   4x   2x   2   \n19) − 20) −  \nx + 3 x + 6 3x + 3 x + 5  \n 6   6   v − 2   \n21) + 22) + 3v  \nx − 2 x + 1 3v4 − 15v3 − 18v2  \nKuta Software-Infinite Algebra 1 Name   \nAdding + Subtracting Rational Expressions Date  Period   \nSimplify each expression.  \nu + 5v   u − 6v  \n1) −  \n8v2 u 2 8v2 u 2  \n11  \n8vu2  \n3)  \n5)  \n7)  \na + 2b   5a + 4b  \n−  \n6a3 6a3  \n−2a − b  \n3a3  \n4a − 5 a − 1 ~~ ~~ + ~~  ~~6a2 + 30a 6a2 + 30a  \n5a − 6  \n6a2 + 30a  \nb − 3  \n12b + 18  \n5b − 3  \n+  \n4b  \n12b + 18  \n12b + 18  \n9) 7x2x − 2x0x216  \n69x + 58  \n4(5x + 4)  \n2) 350nm + ~~ ~~2m~~ ~~+~~ ~~430mn  \n9n + 2m 30m  \nx + y 6x + y  \n4) ~~ ~~ − ~~ ~~  \n18xy 18xy  5   \n−  \n18 y  \n5x − 4 x + 6  \n6) ~~ ~~ − ~~ ~~  \n9x3 + 27x2 9x3 + 27x2  \n4x − 10  \n9x3 + 27x2  \nn − 4 n + 1  \n8) ~~ ~~ + ~~ ~~  \nn 2 − n − 20 n 2 − n − 20  \n2n − 3  \nn 2 − n − 20  \n8 4  \n10) ~~ ~~ + ~~ ~~  \n7v − 6 3v2  \n24v2 + 28v − 24  \n3v2 (7v − 6)  \n11) 7v8 − 8v5v~~ ~~−~~ ~~42  \n35v2 − 78v + 32   \n8(5v − 2)  \n7 7  \n13) ~~ ~~ − ~~ ~~  \n3n2 + 24n 2n  \n−154 − 21n  \n6n(n + 8)  \n6x   7   \n15) +  \n3 15x + 3  \n30x2 + 6x + 7  \n3(5x + 1)  \n4x 5 17) ~~ ~~ − ~~ ~~  \nx 2 + 4x − 5 4  \n−4x − 5x2 + 25   \n4(x + 5)(x − 1)  \n 4x   4x   \n19) −  \nx + 3 x + 6  \n12x  \n(x + 3)(x + 6)  \n21) x~~ ~~~~ ~~2 + ~~ ~~x~~ ~~~~ ~~1  \n 12x − 6 (x + 1)(x − 2)  \n12) n~~ ~~~~ ~~7 − n~~ ~~~~ ~~2  \n −3n − 57 (n + 7)(n − 2)  \n14) v~~ ~~~~ ~~2 − 2v~~ ~~7  \n 5v + 56 (2v + 7)(v − 2)  \n 5v   5   \n16) +  \nv − 3 v + 6  \n5v2 + 35v − 15   \n(v + 6)(v − 3)  \n 2   6x   \n18) −  \nx + 3 2x + 1  \n−14x + 2 − 6x2 (2x + 1)(x + 3)  \n 2x   2   \n20) −  \n3x + 3 x + 5  \n 2x2 + 4x − 6   \n3(x + 1)(x + 5)  \n v − 2   \n22) + 3v  \n3v4 − 15v3 − 18v2  \n9v5 − 45v4 − 54v3 + v − 2   \n3v2 (v + 1)(v − 6)  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaipNwWqeDbSR1","https://ap.wps.com/l/cbCaipNwWqeDbSR1","pdf",36269,"English","# Simplify each expression\n## Problem set: addition and subtraction of rational expressions\n## Practice items using u, v, a, b, x, y, m, n","[{\"question\":\"What skill do these worksheets practice?\",\"answer\":\"They practice simplifying rational expressions involving addition and subtraction.\"},{\"question\":\"Which types of algebraic terms appear in the problems?\",\"answer\":\"The worksheet uses variables like u, v, a, b, x, y, m, and n, and includes expanded and factored forms that must be simplified.\"},{\"question\":\"What do students do with each problem?\",\"answer\":\"Each item instructs students to simplify the given expression to a simpler equivalent form, carefully handling signs, coefficients, and like terms.\"}]","Adding - Subtracting Rational Expressions - Algebra 1 Worksheets | PDF",1791425789]