[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522768-105":59,"doc-detail-522768-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","solving-rational-equations-algebra-2-worksheets","Solving Rational Equations - Algebra 2 Worksheets","","Worksheet for solving rational equations in Algebra 2. Instructions emphasize checking for extraneous solutions while simplifying and solving a set of numbered rational equations involving variables such as k, n, b, x, v, m, r, p, and a. Some equations require factoring and common-denominator operations, and final results are provided in solution sets for each problem.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/solving-rational-equations-algebra-2-worksheets/522768/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/solving-rational-equations-algebra-2-worksheets/522768.png","ImageObject",300,407,{"name":92,"@type":93},"Damian","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What should students remember when solving these rational equations?","Question",{"text":113,"@type":114},"Students must check for extraneous solutions after solving each equation.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"Are the problems organized as individual numbered equations?",{"text":118,"@type":114},"Yes, the worksheet presents multiple numbered rational equations that must be solved one by one.",{"name":120,"@type":111,"acceptedAnswer":121},"What math skills are emphasized in the worksheet?",{"text":122,"@type":114},"The worksheet focuses on simplifying rational expressions, using common denominators, and solving the resulting equations while validating solutions.","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},522768,1791529482,{"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":19,"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":52,"preview_page_count":4},137451208677,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Kuta Software-Infinite Algebra 2 Name___________________________________  \nSolving Rational Equations Date________________ Period____  \nSolve each equation. Remember to check for extraneous solutions.  \n1) 61k2~~ ~~ = ~~ ~~31k2~~ ~~ − 1k~~ ~~ 2) n12~~ ~~ + 1n = ~~ ~~21n2~~ ~~  \n 1   1   1   b + 6   3   b + 4  \n3) 2 + = 2 4) 2 + 2 = 2  \n6b 6b b 4b 2b 2b  \n 1   6   1   1   7   \n5) = + 1 6) = +  \nx 5x 6x2 2x 6x2  \n 1   3v + 12   7v − 56   1   1   5   \n7) + = 8) + =  \nv v 2 − 5v v 2 − 5v m 2 − m m m 2 − m  \n 1   7   1   1   6   \n9) − 1 = 10) + =  \nn − 8 n − 8 r − 2 r2 − 7r + 10 r − 2  \n11) 1 = ~~ ~~vv~~ ~~~~ ~~24 + ~~ ~~7vv~~ ~~−~~ ~~424~~ ~~ 12) r~~ ~~−5r4 = ~~ ~~15r + 1  \nx 2 − 5x − 24 x − 6 1 x − 1  \n13) 1 + ~~ ~~ = ~~ ~~ 14) 1 = ~~ ~~ + ~~ ~~  \n3x 3x x 2 + 2x x  \nn + 5   6   r + 5   1   \n15) = 1 + 16) 2 − 1 = 2  \nn + 8 n + 1 r − 2r r − 2r  \n 1   x + 7   a − 2   3   \n17) = − 1 18) − 1 =  \nx 2 − 5x x a + 3 a + 2  \n p + 5   1   p − 6   5   4   1   \n19) = − 20) = +  \np 2 + p p 2 + p p + 1 n 3 + 5n2 n + 5 n 2  \nKuta Software-Infinite Algebra 2 Name   \nSolving Rational Equations Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \n1)  1  =  1  −  1  \n6k2 3k2 k  \n{~~ ~~16~~ ~~ }  \n3)  1  +  1  =  1   \n6b2 6b b 2  \n{5}  \n 1   6   \n5) = + 1 x 5x  \n{− ~~ ~~15~~ ~~ }  \n7) 1 +  3v + 12  =  7v − 56 v v 2 − 5v v 2 − 5v  \n{21}  \n 1   7   \n9) − 1 =  \nn − 8 n − 8  \n{2}  \n2)  1  +  1 =  1   \nn 2 n 2n2  \n{− ~~ ~~12~~ ~~ }  \n4) b + 6 + 3  =  b + 4  \n4b2 2b2 2b2  \n{4}  \n 1   1   7   \n6) = +  \n6x2 2x 6x2  \n{−2}  \n 1   1   5   \n8) + =  \nm 2 − m m m 2 − m  \n{5}  \n10)  1  +  1  =  6  r − 2 r2 − 7r + 10 r − 2  \n{~~ ~~265~~ ~~ }  \n11)  \n13)  \n15)  \n17)  \n19)  \n1 =  \nv + 2  \nv − 4  \n+  \n7v − 42 v − 4  \n{~~ ~~367~~ ~~ }  \n1 +  \nx 2 − 5x − 24  \n3x  \n=  \nx − 6  \n3x  \n{−3, 6}  \nn + 5 6  \n~~ ~~ = 1 + ~~ ~~  \nn + 8 n + 1  \n{− ~~ ~~173~~ ~~ }  \n1 x + 7  \n~~ ~~ = ~~ ~~ − 1 x 2 − 5x x  \n{~~ ~~367~~ ~~ }  \n p + 5   1   p − 6  \n= −  \np 2 + p p 2 + p p + 1  \n{4, 1}  \n12) r~~ ~~−5r4 = ~~ ~~15r + 1  \n{− ~~ ~~54~~ ~~ }  \n14) 1 =  1  +  x − 1 x 2 + 2x x  \n{−1}  \n r + 5   1   \n16) r2 − 2r − 1 = r2 − 2r  \n{4, −1}  \na − 2   3   \n18) − 1 =  \na + 3 a + 2  \n− ~~ ~~198~~ ~~ }  \n{  \n20)  5  =  4  +  1  n 3 + 5n2 n + 5 n 2  \n{− ~~ ~~14~~ ~~ }  \nCreate your own worksheets like this one with Infinite Algebra 2. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaijdkTrAUYaaM","https://ap.wps.com/l/cbCaijdkTrAUYaaM","pdf",36279,"English","# Solving Rational Equations","[{\"question\":\"What should students remember when solving these rational equations?\",\"answer\":\"Students must check for extraneous solutions after solving each equation.\"},{\"question\":\"Are the problems organized as individual numbered equations?\",\"answer\":\"Yes, the worksheet presents multiple numbered rational equations that must be solved one by one.\"},{\"question\":\"What math skills are emphasized in the worksheet?\",\"answer\":\"The worksheet focuses on simplifying rational expressions, using common denominators, and solving the resulting equations while validating solutions.\"}]","Solving Rational Equations - Algebra 2 Worksheets | PDF",1791426150]