[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-366055-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-366055-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","solving-absolute-value-equations-lesson-guide","Solving Absolute Value Equations - Lesson Guide","","Lesson guide for teaching how to solve absolute value equations in a K-12 math learning context. Explains absolute value notation and the idea that absolute value expressions can produce multiple solutions depending on the equation structure. Includes key questions, guided practice, graphical reasoning for why a particular absolute value equation has two solutions, worked examples, a quick reference for solving steps, and an answer key for practice problems and “try on your own” exercises.",{"@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/solving-absolute-value-equations-lesson-guide/366055/",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-absolute-value-equations-lesson-guide/366055.png","ImageObject",300,407,{"name":42,"@type":43},"anakgang17","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","2026-09-23",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 an absolute value equation and how many solutions can it have?","Question",{"text":63,"@type":64},"An absolute value equation involves an absolute value expression. Depending on the setup, the equation can have two possible solution values.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How do you solve an absolute value equation?",{"text":68,"@type":64},"Isolate the absolute value first, then split into cases that match the distance represented by the absolute value, and solve each resulting equation.",{"name":70,"@type":61,"acceptedAnswer":71},"Why does some absolute value equations have two solutions?",{"text":72,"@type":64},"Graphically, the absolute value form corresponds to two points at the same distance from zero, which leads to two equations and therefore two solution values.","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},366055,1790534985,{"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":101,"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":144,"preview_page_count":4},962090883568,"https://ap-avatar.wpscdn.com/davatar_a8503ba1806abce46bf441b54a3ca4cd","Name:  \n____________________________________  \nLesson Guide  \nThis lesson guide accompanies the following video lesson:  \nSolving Absolute Value Equations  \nKey Questions  \n• What is absolute value?  \n• How many solutions can an absolute value equation have?  \n• How can you solve absolute value equations?  \nWhat do we already know about absolute value?  \nThe solution to an absolute value equation is always   or   .  \nAbsolute Value Notation: 􀀡  ➞ “the absolute value of seven”  \nPractice: If the absolute value of x equals five…  \n…there are two possible values that x could be.  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 1  \nGraphically:  \nIn your own words, how does the graph above demonstrate why the equation 􀀡  = 􀀡 has two solutions: 􀀡 = −􀀡 and 􀀡 = 􀀡  \nConclusion:  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 2  \nEXAMPLE \\#1  \nSolve for x: 􀀡 + 􀀡  = 􀀡  \nCHECK  \nCHECK  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 3  \nEXAMPLE \\#2  \nSolve for x:  􀀡􀀢 − 􀀡  + 􀀡 = 􀀡􀀢  \nIn this case, you have to isolate the absolute value first…  \nCHECK  CHECK  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 4  \nQuick Reference: Solving an Absolute Value Equation  \nTRY ON YOUR OWN!  \nSolve for x in each equation: 1.)  7􀀡  = 49 2.)  −9􀀡 = 45  \n3.) 􀀡 − 10  = 3 4.) 􀀡 + 15  = 15  \n5.) 􀀡  + 8 = 24 6.) 4 􀀡 + 8  = 56  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 5  \nANSWER KEY  \nPractice Problem \\#1 : x=3, x=-9  \nPractice Problem \\#2: x=3, x=1 Try On Your Own:  \n1.) x=7, x=-7  \n2.) x=5, x=-5  \n3.) x=13, x=7  \n4.) x= 0  \n5.) x=16, x=-16  \n6.) x= 6, x=-22  \nMashup Math LLC | All Rights Reserved | Get More K-12 Math Worksheets [at ](at www.mashupmath.com)[www.mashupmath.com](at www.mashupmath.com) 6","cbCaikGHixaoLpfE","https://ap.wps.com/l/cbCaikGHixaoLpfE","pdf",1558022,"English","# Key Questions\n# Absolute Value Notation and Practice\n# Graphical Explanation\n# Examples\n# Quick Reference: Solving an Absolute Value Equation\n# Try On Your Own\n# Answer Key","[{\"question\":\"What is an absolute value equation and how many solutions can it have?\",\"answer\":\"An absolute value equation involves an absolute value expression. Depending on the setup, the equation can have two possible solution values.\"},{\"question\":\"How do you solve an absolute value equation?\",\"answer\":\"Isolate the absolute value first, then split into cases that match the distance represented by the absolute value, and solve each resulting equation.\"},{\"question\":\"Why does some absolute value equations have two solutions?\",\"answer\":\"Graphically, the absolute value form corresponds to two points at the same distance from zero, which leads to two equations and therefore two solution values.\"}]","Solving Absolute Value Equations - Lesson Guide | PDF",1790163713,15]