[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-522530-105":59,"doc-detail-522530-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","radical-equations-part-1","Radical Equations - Part 1","","This document provides a comprehensive collection of practice problems focused on solving radical equations, designed for algebra students. It contains 26 structured exercises ranging from basic radical isolation to more complex equations involving multiple terms. Each problem requires students to solve for a variable while specifically accounting for potential extraneous solutions. The document serves as an essential tool for high school algebra curricula, providing clear examples and a reliable framework for testing mastery of radical operations.",{"@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/radical-equations-part-1/522530/",{"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/radical-equations-part-1/522530.png","ImageObject",300,407,{"name":92,"@type":93},"Oliver","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 is the primary objective of these practice problems?","Question",{"text":112,"@type":113},"The primary objective is for students to solve radical equations for variables and identify extraneous solutions.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"How many problems are included in this worksheet?",{"text":117,"@type":113},"There are 26 distinct algebraic equations provided for practice.",{"name":119,"@type":110,"acceptedAnswer":120},"What is a key requirement when solving these specific radical equations?",{"text":121,"@type":113},"Students are explicitly instructed to check for extraneous solutions, which are solutions that emerge from the solving process but do not satisfy the original equation.","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},522530,1791518852,{"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},8796095461610,"https://ap-avatar.wpscdn.com/davatar_276721f389ce27ea32af1340a28f341c","Kuta Software-Infinite Algebra 1 Name   \nRadical Equations-Part 1 Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \n1) x = 10  m   \n2) 10 =  \n10  \n3) v − 4 = 3 4) 6 = v − 2  \n5) n = 9 6) 5 = x + 3  \n7) 2 = 4b 8) n + 9 = 1  \n9) −8 + 5a − 5 = −3 10) 10 9x = 60  \n11) 1 = x − 5 12) −10 v − 10 = −60  \n13) 10 + 10m − 1 = 13 14) −12 = −6 b + 4  \n15) v + 3 − 1 = 7 16) 90 = 9 25v  \n17) 3n = 4n − 1  n  \n18) 2n − 88 =  \n6  \nx 20) 3n + 12 = n + 8  \n19)  10 = 3x − 58  \n21) n = 2n − 6 22) 11 − x = x − 7  \nx  24) x + 3 = 1 − x  \n23) 72 − x =  \n5  \n25) 2k + 40 = −16 − 2k 26) x + 8 = 3x + 8  \nKuta Software-Infinite Algebra 1 Name   \nRadical Equations-Part 1 Date  Period   \nSolve each equation. Remember to check for extraneous solutions.  \n1) x = 10  m   \n2) 10 =  \n{100} 10  \n{1000}  \n3) v − 4 = 3 4) 6 = v − 2  \n{13} {38}  \n5) n = 9 6) 5 = x + 3  \n{81} {22}  \n7) 2 = 4b 8) n + 9 = 1  \n{1} {−8}  \n9) −8 + 5a − 5 = −3 10) 10 9x = 60  \n{6} {4}  \n11) 1 = x − 5 12) −10 v − 10 = −60  \n{6} {46}  \n13) 10 + 10m − 1 = 13  \n14) −12 = −6 b + 4  \n{0}  \n16) 90 = 9 25v  \n18)  \n20)  \n22)  \n24)  \n26)  \n{4}  \n{48}  \n3n + 12 = n + 8  \n{−2}  \n11 − x = x − 7  \n{9}  \nx + 3 = 1 − x  \n{−1}  \nx + 8 = 3x + 8  \n{0}  \nCreate your own worksheets like this one with Infinite Algebra 1. Free trial available [at KutaSoftware.com](at KutaSoftware.com)","cbCaiu1dAlpY8Ln4","https://ap.wps.com/l/cbCaiu1dAlpY8Ln4","pdf",35394,"English","# Solving Radical Equations\n## Exercises\n## Answer Key","[{\"question\":\"What is the primary objective of these practice problems?\",\"answer\":\"The primary objective is for students to solve radical equations for variables and identify extraneous solutions.\"},{\"question\":\"How many problems are included in this worksheet?\",\"answer\":\"There are 26 distinct algebraic equations provided for practice.\"},{\"question\":\"What is a key requirement when solving these specific radical equations?\",\"answer\":\"Students are explicitly instructed to check for extraneous solutions, which are solutions that emerge from the solving process but do not satisfy the original equation.\"}]","Radical Equations - Part 1 | PDF",1791425886]