[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-267253-105":59,"doc-detail-267253-en":127},{"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":120,"head_meta":122,"extra_data":124,"updated_unix":126},105,"en","16-absolute-value-practice","1.6-Absolute-Value-Practice","","This document, titled \"1.6 Absolute Value Practice,\" contains a series of practice problems focused on solving absolute value equations. The problems range from basic absolute value equations such as |x| = 8 to more complex equations involving linear expressions within the absolute value, such as |5 + 8a| = 53 and |3k + 8| = 2. It also includes equations with two absolute values, like |5x + 3| = |2x - 1|, and equations where the absolute value is multiplied by a coefficient or offset by a constant, for example, -7|-3 - 3r| = -21 and 8|x + 7| - 3 = 5. The document is presented as a worksheet, likely intended for students learning algebra, with numbered problems requiring them to solve for the variable. The practice problems are derived from \"Beginning and Intermediate Algebra\" by Tyler Wallace, licensed under a Creative Commons Attribution 3.0 Unported License. The document also provides a link to a separate page for the answers to these absolute value equations.",{"@graph":69,"@context":119},[70,84,106],{"@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/16-absolute-value-practice/267253/",{"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/16-absolute-value-practice/267253.png","ImageObject",300,407,{"name":92,"@type":93},"Logic","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-14",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",17,{"@type":107,"mainEntity":108},"FAQPage",[109,115],{"name":110,"@type":111,"acceptedAnswer":112},"What is the purpose of this document?","Question",{"text":113,"@type":114},"This document serves as a practice worksheet for solving absolute value equations, covering a range of difficulties from simple to complex algebraic expressions within the absolute value.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"What is the source of these practice problems?",{"text":118,"@type":114},"The problems are sourced from \"Beginning and Intermediate Algebra\" by Tyler Wallace and are licensed under a Creative Commons Attribution 3.0 Unported License.","https://schema.org",{"og:url":83,"og:type":121,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":123,"canonical":83},"index,follow",{"doc_id":125,"site_id":62},267253,1789416358,{"code":4,"msg":5,"data":128},{"doc_id":125,"user_id":129,"nickname":92,"user_avatar":130,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":131,"file_id":132,"file_url":133,"file_type":134,"file_size":135,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":136,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":137,"faqs":138,"seo_title":139,"seo_description":67,"update_tm":126,"read_time":24},1099513958762,"https://ap-avatar.wpscdn.com/avatar/1000023916a998db790?x-image-process=image/resize,m_fixed,w_180,h_180&k=1784791008015729253","1.6 Practice-Absolute Value Equations  \nSolve each equation.  \n1) |x| = 8  \n3) |b| = 1  \n5) |5 + 8a| = 53  \n7) |3k + 8| = 2  \n9) |9 + 7x| = 30  \n11) |8 + 6m| = 50  \n13) |6 −2x| = 24  \n15) −7|−3 −3r| = − 21  \n17) 7|−7x −3| = 21  \n19) |~~ ~~−~~ ~~4b8−~~ ~~10|~~ ~~ = 3  \n21) 8|x + 7| − 3 = 5  \n23) 5|3 + 7m| + 1 = 51  \n25) 3 + 5|8 − 2x| = 63  \n27) |6b −2| + 10= 44  \n29) −7 + 8|−7x −3| = 73  \n31) |5x + 3|= |2x −1|  \n33) |3x −4|= |2x + 3|  \n35) | 4x~~ ~~2 |= | ~~ ~~6x |  \n2) |n| = 7  \n4) |x| = 2  \n6) |9n + 8| = 46  \n8) |3 −x| = 6  \n10) |5n + 7| = 23  \n12) |9p + 6| = 3  \n14) |3n −2| = 7  \n16) |2 + 2b| + 1 = 3  \n18) |~~ ~~−~~ ~~4~~ ~~3n|~~ ~~ = 2  \n20) 8|5p + 8| − 5 = 11  \n22) 3 −|6n + 7| = − 40  \n24) 4|r + 7| + 3 = 59  \n26) 5 + 8| −10n −2| = 101  \n28) 7|10v −2| − 9 = 5  \n30) 8|3 −3n| − 5 = 91  \n32) |2 + 3x|= |4 −2x|  \n34) | ~~ ~~2x~~ ~~5 |= | ~~ ~~3x |  \n36) | ~~ ~~3x |= | ~~ ~~2x~~ ~~3 |  \nBeginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons Attribution 3.0 Unported License. ([http://creativecommons.org/licenses/by/3.0/](http://creativecommons.org/licenses/by/3.0/))  \n1  \n1.6  \nAnswers to Absolute Value Equations  \nBeginning and Intermediate Algebra by Tyler Wallace is licensed under a Creative Commons Attribution 3.0 Unported License. ([http://creativecommons.org/licenses/by/3.0/](http://creativecommons.org/licenses/by/3.0/))  \n2","cbCaioENqtblddZ5","https://ap.wps.com/l/cbCaioENqtblddZ5","pdf",54680,"English","# Practice-Absolute Value Equations\n## Solve each equation.","[{\"question\":\"What is the purpose of this document?\",\"answer\":\"This document serves as a practice worksheet for solving absolute value equations, covering a range of difficulties from simple to complex algebraic expressions within the absolute value.\"},{\"question\":\"What is the source of these practice problems?\",\"answer\":\"The problems are sourced from \\\"Beginning and Intermediate Algebra\\\" by Tyler Wallace and are licensed under a Creative Commons Attribution 3.0 Unported License.\"}]","1.6-Absolute-Value-Practice | PDF"]