[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522532-105":3,"doc-detail-522532-en":81,"detail-sidebar-cat-0-en-105":97},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","simplifying-rational-expressions-worksheet","Simplifying Rational Expressions - Worksheet","","Worksheet for Infinite Algebra 1 focused on simplifying rational expressions. It instructs students to simplify a list of algebraic problems involving polynomial numerators and denominators with variables such as x, n, v, a, and r. Exercises include factoring, reducing like terms, and canceling common factors where possible. Answer lines are provided for each item, supporting step-by-step practice and review of rational expression simplification 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does this worksheet ask you to do?","Question",{"text":63,"@type":64},"Simplify each rational expression listed in the worksheet.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Which types of algebraic forms are included?",{"text":68,"@type":64},"Problems involve expressions with variables like x, n, v, a, and r, typically requiring factoring and reduction of terms.",{"name":70,"@type":61,"acceptedAnswer":71},"How are the answers structured?",{"text":72,"@type":64},"Each numbered problem includes a space to write the simplified result.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},522532,1791492957,{"code":4,"msg":82,"data":83},"success",{"doc_id":79,"user_id":84,"nickname":42,"user_avatar":85,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":86,"file_id":87,"file_url":88,"file_type":89,"file_size":90,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":91,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":92,"faqs":93,"seo_title":94,"seo_description":12,"update_tm":95,"read_time":96,"preview_page_count":4},8796095461610,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Algebra 1 Name___________________________________  \nSimplifying Rational Expressions Date________________ Period____  \nSimplify each expression.  \n36x3   16r2  \n1) − 2 2) 3  \n42x 16r  \n3) 16~~ ~~p228~~ ~~p~~ ~~ 4) 32n224n  \n70n2 15n  \n5) − ~~ ~~ 6) ~~ ~~  \n28n 30n3  \n2r − 4   45   \n7) 8)  \nr − 2 10a − 10  \n x − 4   15a − 3  \n9) 10)  \n3x2 − 12x 24  \n v − 5   x + 6   \n11) 12)  \nv 2 − 10v + 25 x 2 + 5x − 6  \n 27   v 2 − 7v − 30   \n13) 14) 2  \n27x + 18 v − 5v − 24  \nx 2 + 8x + 12 x 2 − 11x + 18  \n15) ~~ ~~ 16) ~~ ~~  \nx 2 + 3x − 18 x 2 + 2x − 8  \nb 2 + 3b − 28   v 2 − 3v − 40   \n17) 2 18) 2  \nb − 49 v − 11v + 24  \n4n − 4 v 2 − 5v − 14  \n19) ~~ ~~ 20) ~~ ~~  \n6n − 20 v 2 + 4v + 4  \n 6v3 + 42v2   x 3 − x 2 − 42x   \n21) 22)  \n2v2 + 26v + 84 2x2 − 20x + 42  \n2v2 + 10v − 48   9x2 + 81x   \n23) 8v + 64 24) x 3 + 8x2 − 9x  \nx2 + 2x − 80 3r2 − 39r + 90  \n25) ~~ ~~ 26) ~~ ~~  \n2x3 − 24x2 + 64x r2 − 3r − 70  \nKuta Software-Infinite Algebra 1  \nSimplifying Rational Expressions  \nSimplify each expression.  \n36x3   \n1) − 2  \n42x  \n6x  \n−  \n2)  \nName___________________________________  \nDate________________ Period____  \n16r2  \n16r3  1  \n7 r  \n3) 1628p2p  \n4 p  \n7  \n5) − ~~ ~~70n228n  \n5n −  \n2  \n7) 2rr24 2  \n9)  x − 4   \n3x2 − 12x  \n1  \n3x  \n11)  v − 5  v 2 − 10v + 25  \n 1  v − 5  \n4) 32n224n  \n4n  \n3  \n 15n   \n6) 3  \n30n  \n1  \n2n2  \n8) 10a4~~ ~~10 9  \n10)  \n2(a − 1)  \n15a − 3 24  \n5a − 1 8  \n12)  x + 6   \nx 2 + 5x − 6  1  x − 1  \n13)  \n15)  \n17)  \n19)  \n21)  \n23)  \n25)  \n27  \n27x + 18 3  \n3x + 2  \nx 2 + 8x + 12  \nx 2 + 3x − 18 x + 2  \nx − 3  \nb 2 + 3b − 28  \nb 2 − 49  \nb − 4  \nb − 7  \n 4n − 4   \n6n − 20  \n2(n − 1)  \n3n − 10  \n6v3 + 42v2  \n2v2 + 26v + 84  \n3v2  \nv + 6  \n2v2 + 10v − 48   \n8v + 64  \nv − 3  \n4  \nx2 + 2x − 80  \n2x3 − 24x2 + 64x  \nx + 10  \n2x(x − 4)  \nv 2 − 7v − 30  14) 2  \nv − 5v − 24  \nv − 10  \nv − 8  \nx 2 − 11x + 18 16) ~~ ~~  \nx 2 + 2x − 8  \nx − 9  \nx + 4  \n v 2 − 3v − 40  18) 2  \nv − 11v + 24  \nv + 5  \nv − 3  \nv 2 − 5v − 14 20) ~~ ~~  \nv 2 + 4v + 4  \nv − 7  \nv + 2  \nx 3 − x 2 − 42x 22) ~~ ~~  \n2x2 − 20x + 42  \nx(x + 6)   \n2(x − 3)  \n 9x2 + 81x  24) x 3 + 8x2 − 9x  \n 9  x − 1  \n3r2 − 39r + 90 26) ~~ ~~  \nr2 − 3r − 70  \n3(r − 3) r + 7  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaitFyx4vUjR3x","https://ap.wps.com/l/cbCaitFyx4vUjR3x","pdf",33948,"English","# Simplify each expression","[{\"question\":\"What does this worksheet ask you to do?\",\"answer\":\"Simplify each rational expression listed in the worksheet.\"},{\"question\":\"Which types of algebraic forms are included?\",\"answer\":\"Problems involve expressions with variables like x, n, v, a, and r, typically requiring factoring and reduction of terms.\"},{\"question\":\"How are the answers structured?\",\"answer\":\"Each numbered problem includes a space to write the simplified result.\"}]","Simplifying Rational Expressions - Worksheet | PDF",1791425887,10,{"code":4,"msg":82,"data":98},[99,103,107,110,115,120,125,130,135,138,141],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":100,"show_sort_weight":101,"slug":102},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":108,"slug":109},70,"exam",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},5,"Comic",60,"comic",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},6,"Technology",50,"technology",{"id":121,"doc_module":4,"doc_module_name":25,"category_name":122,"show_sort_weight":123,"slug":124},7,"Healthcare",40,"healthcare",{"id":126,"doc_module":4,"doc_module_name":25,"category_name":127,"show_sort_weight":128,"slug":129},8,"Research & Report",30,"research-report",{"id":131,"doc_module":4,"doc_module_name":25,"category_name":132,"show_sort_weight":133,"slug":134},9,"Religion & Spirituality",20,"religion-spirituality",{"id":133,"doc_module":4,"doc_module_name":25,"category_name":136,"show_sort_weight":133,"slug":137},"World Cup","world-cup",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":139,"show_sort_weight":96,"slug":140},"Lifestyle","lifestyle",{"id":142,"doc_module":4,"doc_module_name":25,"category_name":143,"show_sort_weight":111,"slug":144},19,"General","general"]