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The problems involve variables m, n, x, b, p, k, a, and v with multi-step transformations and simplified rational forms, each requiring a final solution value or value set.",{"@graph":14,"@context":65},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/solving-rational-equations-1-solve-each-equation/522549/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/solving-rational-equations-1-solve-each-equation/522549.png","ImageObject",300,407,{"name":42,"@type":43},"Asher","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-10","2026-10-08",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",9,{"@type":57,"mainEntity":58},"FAQPage",[59],{"name":60,"@type":61,"acceptedAnswer":62},"What kinds of variables and equations appear in the problems?","Question",{"text":63,"@type":64},"The worksheet includes rational equations using variables such as m, n, x, b, p, k, a, and v, requiring simplification and solving for the unknowns.","Answer","https://schema.org",{"og:url":32,"og:type":67,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":69,"canonical":32},"index,follow",{"doc_id":71,"site_id":7},522549,1791505146,{"code":4,"msg":74,"data":75},"success",[76,80,84,87,92,97,102,107,111,114,118],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":77,"show_sort_weight":78,"slug":79},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":81,"show_sort_weight":82,"slug":83},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":85,"slug":86},70,"exam",{"id":88,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},5,"Comic",60,"comic",{"id":93,"doc_module":4,"doc_module_name":25,"category_name":94,"show_sort_weight":95,"slug":96},6,"Technology",50,"technology",{"id":98,"doc_module":4,"doc_module_name":25,"category_name":99,"show_sort_weight":100,"slug":101},7,"Healthcare",40,"healthcare",{"id":103,"doc_module":4,"doc_module_name":25,"category_name":104,"show_sort_weight":105,"slug":106},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":108,"show_sort_weight":109,"slug":110},"Religion & Spirituality",20,"religion-spirituality",{"id":109,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":109,"slug":113},"World Cup","world-cup",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":115,"slug":117},10,"Lifestyle","lifestyle",{"id":119,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":88,"slug":121},19,"General","general",{"code":4,"msg":74,"data":123},{"doc_id":71,"user_id":124,"nickname":42,"user_avatar":125,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":126,"file_id":127,"file_url":128,"file_type":129,"file_size":130,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":131,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":132,"faqs":133,"seo_title":134,"seo_description":12,"update_tm":135,"read_time":115,"preview_page_count":4},687197207639,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Kuta Software-Infinite Algebra 1 Name   \nSolving Rational Equations 1 Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \n 3   m − 4   2   1   1   n − 1  \n1) m 2 = 3m2 + 3m2 2) n = 5n − 5n  \n 1   x + 3   1   4   5   1   \n3) 2 = 2 − 2 4) 2 = − 2  \n3x 2x 6x n n n  \n3n + 15   1   n − 3   1   5   n − 2  \n5) 2 = 2 − 2 6) 2 + = 2  \n4n n 4n 2n 2n n  \nx − 6   x + 4   1   1   1   \n7) = + 1 8) + 2 =  \nx x 2n 4n 4n  \n6b + 18   1   3   1   x − 1   3  \n9) + = 10) − =  \nb 2 b b 2x 2x2 x  \n11)  1  +  1  =  2  12)  1  +  1  =  3   \nb 2 − 7b + 10 b − 2 b 2 − 7b + 10 x 2 − 3x x − 3 x 2 − 3x  \n6   1   p + 4   5x − 20   1   x − 4   \n13) = − 14) + =  \np p − 5 p 2 − 5 p x 2 − 9x + 18 x − 6 x2 − 9x + 18  \n 1   6   6   6   1   1   \n15) − = 16) = −  \n5k2 + 2k 5k + 2 5k2 + 2k n 2 − 6n + 8 n 2 − 6n + 8 n − 4  \n4   1   a + 3   3   k − 6   1   \n17) = 2 − 2 18) 2 − 2 =  \na a + 4a a + 4a k + 5k + 6 k + 5k + 6 k + 3  \n v − 3   1   v − 5   3   3m   \n19) = − 20) 1 = +  \nv 2 + 3v v + 3 v 2 + 3v m + 3 m + 3  \nKuta Software-Infinite Algebra 1 Name   \nSolving Rational Equations 1 Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \n1)  3  = m − 4 +  2  m 2 3m2 3m2  \n{11}  \n 1   x + 3   1   \n3) = −  \n3x2 2x2 6x2  \n{−2}  \n3n + 15   1   n − 3 5) = −  \n4n2 n 2 4n2  \n{−2}  \n7)  \nx − 6  \nx  \n=  \nx + 4  \nx  \n+ 1  \n{−10}  \n9) 6b + 18 +  1 =  3 b 2 b b  \n{− ~~ ~~92~~ ~~ }  \n2) 1n = ~~ ~~15n − n−5n1  \n{−3}  \n 4   5   1   \n4) = − n 2 n n 2  \n{1}  \n 1   5   n − 2 6) + =  \n2n2 2n n 2  \n{− ~~ ~~53~~ ~~ }  \n8)  1  +  1  =  1   \n2n 4n2 4n  \n{−1}  \n10)  1  − x − 1  =  3  \n2x 2x2 x  \n{~~ ~~16~~ ~~ }  \n11)  1  +  1  =  2  b 2 − 7b + 10 b − 2 b 2 − 7b + 10  \n{6}  \n6   1   p + 4   \n13) = −  \np p − 5 p 2 − 5 p  \n{~~ ~~133~~ ~~ }  \n15)  1  −  6  =  6   \n5k2 + 2k 5k + 2 5k2 + 2k  \n{− ~~ ~~56~~ ~~ }  \n4   1   a + 3   \n17) = 2 − 2  \na a + 4a a + 4a  \n{ ~~ ~~  \n− 185 }  \n19)  v − 3  =  1  −  v − 5  v 2 + 3v v + 3 v 2 + 3v  \n{8}  \n12)  1  +  1  =  3  x 2 − 3x x − 3 x 2 − 3x  \n{2}  \n 5x − 20   1   x − 4  14) + =  \nx 2 − 9x + 18 x − 6 x2 − 9x + 18  \n{~~ ~~195~~ ~~ }  \n16)  6  =  1  −  1  n 2 − 6n + 8 n 2 − 6n + 8 n − 4  \n{−3}  \n 3   k − 6   1   \n18) k2 + 5k + 6 − k2 + 5k + 6 = k + 3  \n{~~ ~~72~~ ~~ }  \n20) 1 = m~~ ~~~~ ~~3 + m33  \n{0}  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiu7diUKy1E11","https://ap.wps.com/l/cbCaiu7diUKy1E11","pdf",36104,"English","# Solve each equation\n## Check for extraneous solutions","[{\"question\":\"What kinds of variables and equations appear in the problems?\",\"answer\":\"The worksheet includes rational equations using variables such as m, n, x, b, p, k, a, and v, requiring simplification and solving for the unknowns.\"}]","Solving Rational Equations 1 - Solve each equation | PDF",1791425905]