[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-522531-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-522531-en":130},{"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","radical-equations-part-2-practice-worksheet","Radical Equations - Part 2 - Practice Worksheet","","This document provides a comprehensive practice worksheet for solving radical equations, focusing on algebraic methods and the identification of extraneous solutions. It includes twenty-eight distinct problems ranging from basic radical forms to more complex expressions, along with a complete answer key for student self-assessment. Designed for Algebra 1 students, the material facilitates mastery of isolating variables within radical expressions, squaring both sides of equations, and verifying valid mathematical roots.",{"@graph":14,"@context":73},[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/radical-equations-part-2-practice-worksheet/522531/",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/radical-equations-part-2-practice-worksheet/522531.png","ImageObject",300,407,{"name":42,"@type":43},"Oliver","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",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What is the primary goal of the practice problems in this document?","Question",{"text":63,"@type":64},"The primary goal is to solve radical equations for a given variable while carefully checking for extraneous solutions that may arise during the solving process.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"Are the solutions provided for the practice problems?",{"text":68,"@type":64},"Yes, the document includes a comprehensive answer key following the list of problems, providing the correct sets of solutions for each equation.",{"name":70,"@type":61,"acceptedAnswer":71},"How should a student handle potential extraneous solutions?",{"text":72,"@type":64},"Students are advised to check all potential solutions back in the original equation to ensure they satisfy the equality, as squaring both sides can introduce results that do not satisfy the initial radical expression.","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},522531,1791491179,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":55,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":33,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":143,"read_time":123,"preview_page_count":4},8796095461610,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Algebra 1 Name   \nRadical Equations-Part 2 Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \n1) 110 − n = n 2) p = 2 − p  \n3) 30 − x = x 4) x = 8x  \n5) x = 42 − x 6) 12 − r = r  \n7) 4n = n 8) 5v = v  \n9) r = 10r 10) m = 56 − m  \n11) b = −4 + 4b 12) r = 8r  \n13) −16 + 10a = a 14) r = −1 − 2r  \n15) −45 + 14n = n 16) x = 110 − x  \n17) 9n = n 18) x = 40 − 3x  \n19) 90 − n = n 20) x = −70 + 17x  \n21) 4n + 8 = n + 3 22) −n + 6n + 19 = 2  \n23) 4 + −3m + 10 = m 24) x − 5 = x + 1  \n25) n − 7 = 3n − 21 26) b − 6 = 18 − 3b  \n27) −3 + m + 59 = m 28) 7a − 54 − a = −6  \nKuta Software-Infinite Algebra 1 Name   \nRadical Equations-Part 2 Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \n1) 110 − n = n 2) p = 2 − p  \n{10} {1}  \n3) 30 − x = x 4) x = 8x  \n{5} {0, 8}  \n5) x = 42 − x 6) 12 − r = r  \n{6} {3}  \n7) 4n = n 8) 5v = v  \n{0, 4} {0, 5}  \n9) r = 10r 10) m = 56 − m  \n{0, 10} {7}  \n11) b = −4 + 4b 12) r = 8r  \n{2} {0, 8}  \n13) −16 + 10a = a 14) r = −1 − 2r  \n{2, 8} No solution.  \n15) −45 + 14n = n 16) x = 110 − x  \n{5, 9} {10}  \n17) 9n = n 18) x = 40 − 3x  \n{0, 9} {5}  \n19) 90 − n = n 20) x = −70 + 17x  \n{9} {7, 10}  \n21) 4n + 8 = n + 3 22) −n + 6n + 19 = 2  \n{−1} {5}  \n23) 4 + −3m + 10 = m 24) x − 5 = x + 1  \nNo solution. {8}  \n25) n − 7 = 3n − 21 26) b − 6 = 18 − 3b  \n{10, 7} {6}  \n27) −3 + m + 59 = m 28) 7a − 54 − a = −6  \n{5} {9, 10}  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaieMWinwNSYbh","https://ap.wps.com/l/cbCaieMWinwNSYbh","pdf",35003,"English","# Radical Equations Practice Problems\n## Answer Key","[{\"question\":\"What is the primary goal of the practice problems in this document?\",\"answer\":\"The primary goal is to solve radical equations for a given variable while carefully checking for extraneous solutions that may arise during the solving process.\"},{\"question\":\"Are the solutions provided for the practice problems?\",\"answer\":\"Yes, the document includes a comprehensive answer key following the list of problems, providing the correct sets of solutions for each equation.\"},{\"question\":\"How should a student handle potential extraneous solutions?\",\"answer\":\"Students are advised to check all potential solutions back in the original equation to ensure they satisfy the equality, as squaring both sides can introduce results that do not satisfy the initial radical expression.\"}]","Radical Equations - Part 2 - Practice Worksheet | PDF",1791425886]