[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522552-105":59,"doc-detail-522552-en":130},{"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":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","solving-rational-equations-2","Solving Rational Equations 2","","Worksheet tasks for Infinite Algebra 1 focused on solving rational equations while identifying and validating extraneous solutions. The exercises present multiple numbered equations involving expressions with variables such as k, m, n, x, r, and a, including fractions and factored polynomials. Some problems also require determining solution sets, including cases with negative values and multiple roots. Students must solve each equation and then verify which answers are valid.",{"@graph":69,"@context":122},[70,84,105],{"@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-2/522552/",{"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-2/522552.png","ImageObject",300,407,{"name":92,"@type":93},"Asher","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":102,"interactionType":103,"userInteractionCount":39},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"What instruction must be followed for these rational equations?","Question",{"text":112,"@type":113},"Students must solve each equation and remember to check for extraneous solutions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What topics do the worksheet problems focus on?",{"text":117,"@type":113},"The worksheet focuses on solving rational equations, typically involving fractions and polynomial expressions.",{"name":119,"@type":110,"acceptedAnswer":120},"Do the exercises require verification of answers?",{"text":121,"@type":113},"Yes. The worksheet explicitly reminds students to check for extraneous solutions, meaning some obtained solutions may not be valid.","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},522552,1791511971,{"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},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 1 Name   \nSolving Rational Equations 2 Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \nk + 4   k − 1   k + 4   1   1   1  \n1) + = 2) 2 = −  \n4 4 4k 2m m 2  \n3)  \n5)  \n7)  \nn 2 − n − 6   2n + 12   n − 6  \n− =  \nn 2 n 2n  \nk2 + 2k − 8   1   1   \n3 = 2 + 2  \n3k 3k k  \nx − 4  \n6x  \n+  \nx 2 − 3x − 10   x − 1 =  \n6x 6  \n4)  \n6)  \n8)  \n3x2 + 24x + 48  x 2 +  \nk −  \n3  \n1 1 ~~ ~~ = ~~ ~~  \n3k k  \n1 x − 1 1 ~~ ~~ = ~~ ~~ + ~~  ~~x 2 x x  \nx − 6   1   \n= 2x2 x2  \n 1   r + 4   6   a 2 − 4a − 12   6   a − 3  \n9) = + 10) 2 = +  \nr + 3 r − 2 r − 2 a − 10a + 25 a − 5 a − 5  \n11) n~~ ~~~~ ~~3 + ~~ ~~n~~ ~~2~~ ~~+n~~ ~~n3+~~ ~~5~~ ~~ = n − 3 12) 12 = ~~ ~~x~~ ~~2~~ ~~−~~ ~~74xx+~~ ~~10~~ ~~ − 12x  \n 1   1   1   p − 6  \n13) = 5 + 14) + 1 =  \nk k2 + k p 2 − 4 p p  \n5   6   n 2 + 5n − 6   x + 2   x − 1   4x + 2   \n15) − 3 2 = 3 2 16) = − 2  \nn n − 2n n − 2n x x x − 3x  \nKuta Software-Infinite Algebra 1 Name   \nSolving Rational Equations 2 Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \n1)  \n3)  \n5)  \n7)  \nk + 4  \n4  \n+  \nk − 1   k + 4 = 4 4k  \n{−2, 1}  \nn 2 − n − 6   2n + 12   n − 6  \n− =  \nn 2 n 2n  \n{− ~~ ~~23~~ ~~ , −6 }  \nk2 + 2k − 8   1   1   \n3 = 2 + 2  \n3k 3k k  \n{−2, 4}  \nx − 4 x 2 − 3x − 10 x − 1 ~~ ~~ + ~~ ~~ = ~~  ~~6x 6x 6  \n{−14}  \n2)  \n4)  \n6)  \n8)  \n1 1 1 ~~ ~~ = ~~ ~~ − ~~ ~~  \n2m2 m 2  \n{1}  \n3x2 + 24x + 48  x 2 +  \n{− ~~ ~~83~~ ~~ , − ~~ ~~112~~ ~~ }  \nk   1   1 − =  \n3 3k k  \n{−2, 2}  \n1 x − 1 1 ~~ ~~ = ~~ ~~ + ~~  ~~x 2 x x  \n{1, −1}  \nx − 6   1   \n= 2x2 x2  \n9) r~~ ~~~~ ~~3 = ~~ ~~rr~~ ~~~~ ~~42 + ~~ ~~r~~ ~~~~ ~~2  \n{−8, −4}  \n11) n~~ ~~~~ ~~3 + ~~ ~~n~~ ~~2~~ ~~+n~~ ~~n3+~~ ~~5~~ ~~ = n − 3  \n{− ~~ ~~52~~ ~~ }  \n13) 1k = 5 + ~~ ~~k2~~ ~~~~ ~~k~~ ~~  \n{ ~~ ~~  \n− 45 }  \n5 6 n 2 + 5n − 6 15) ~~ ~~ − ~~ ~~ = ~~ ~~  \nn n 3 − 2n2 n 3 − 2n2  \n{~~ ~~154~~ ~~ }  \n a 2 − 4a − 12   6   a − 3 10) a 2 − 10a + 25 = a − 5 + a − 5  \n{~~ ~~32~~ ~~ }  \n1 x 2 − 7x + 10 1  \n12) ~~ ~~ = ~~ ~~ − ~~ ~~  \n2 4x 2x  \n{1, 8}  \n 1   p − 6  \n14) + 1 = p 2 − 4 p p  \n{~~ ~~236~~ ~~ }  \nx + 2   x − 1   4x + 2  16) = − 2  \nx x x − 3x  \n{1}  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaif75yJ2fXFOV","https://ap.wps.com/l/cbCaif75yJ2fXFOV","pdf",34841,"English","# Solve each equation\n## Check for extraneous solutions","[{\"question\":\"What instruction must be followed for these rational equations?\",\"answer\":\"Students must solve each equation and remember to check for extraneous solutions.\"},{\"question\":\"What topics do the worksheet problems focus on?\",\"answer\":\"The worksheet focuses on solving rational equations, typically involving fractions and polynomial expressions.\"},{\"question\":\"Do the exercises require verification of answers?\",\"answer\":\"Yes. The worksheet explicitly reminds students to check for extraneous solutions, meaning some obtained solutions may not be valid.\"}]","Solving Rational Equations 2 | PDF",1791425907]