[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-634387-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-634387-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":73,"head_meta":75,"extra_data":77,"updated_unix":79},105,"en","absolute-values-equations-2-work-out-the-solutions","ABSOLUTE VALUES EQUATIONS 2 - Work out the solutions","","ABSOLUTE VALUES EQUATIONS 2 provides a set of absolute value equations for solving. Each item asks for the value of a variable that satisfies an equation written with absolute value bars, such as |a-4|=8 and |6+b|=10, including cases with fractions and combinations like 2(j-3) or 4(k+3). The answers section lists each variable’s solutions, including positive and negative possibilities where applicable.",{"@graph":14,"@context":72},[15,34,55],{"@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/absolute-values-equations-2-work-out-the-solutions/634387/",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/absolute-values-equations-2-work-out-the-solutions/634387.png","ImageObject",300,407,{"name":42,"@type":43},"Maya Linwood","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-24","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":22},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does the worksheet ask students to do?","Question",{"text":62,"@type":63},"Work out the solutions to the absolute value equations listed on the page.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"How are the solutions presented?",{"text":67,"@type":63},"The answers section gives each variable’s value, often showing both positive and negative solutions where relevant.",{"name":69,"@type":60,"acceptedAnswer":70},"Do the equations include fractions and multiple-step expressions?",{"text":71,"@type":63},"Yes. Several equations use fractional coefficients (e.g., 1/2, 1/4) and multi-part expressions inside the absolute value.","https://schema.org",{"og:url":32,"og:type":74,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":76,"canonical":32},"index,follow",{"doc_id":78,"site_id":7},634387,1792879319,{"code":4,"msg":81,"data":82},"success",[83,87,91,94,99,104,109,114,119,122,126],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":84,"show_sort_weight":85,"slug":86},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":88,"show_sort_weight":89,"slug":90},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":92,"slug":93},70,"exam",{"id":95,"doc_module":4,"doc_module_name":25,"category_name":96,"show_sort_weight":97,"slug":98},5,"Comic",60,"comic",{"id":100,"doc_module":4,"doc_module_name":25,"category_name":101,"show_sort_weight":102,"slug":103},6,"Technology",50,"technology",{"id":105,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},7,"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"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":95,"slug":129},19,"General","general",{"code":4,"msg":81,"data":131},{"doc_id":78,"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":22,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"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":95},962084928432,"https://ap-avatar.wpscdn.com/davatar_155a257f0dc6eb9ab79c44ca47cae57d","Name Date  \nABSOLUTE VALUES EQUATIONS 2  \nWork out the solutions to these equations involving absolute values.  \n\n| 1) | |a – 4| | = | 8 | a | = |   or   |\n| --- | --- | --- | --- | --- | --- | --- |\n| 2) | |6 + b| | = | 10 | b | = |   or   |\n| 3) | |9 – c| | = | 4 | c | = |   or   |\n| 4) | |3 + d + 5| | = | 7 | d | = |   or   |\n| 5) | |2e| | = | 24 | e | = |   or   |\n| 6) | |2f + 1| | = | 13 | f | = |   or   |\n| 7) | 3|g – 4| | = | 12 | g | = |   or   |\n| 8) | ½ |h + 2| | = | 3 | h | = |   or   |\n| 9) | |4i| - |-7| | = | 1 | i | = |   or   |\n| 10) | |2(j – 3)| | = | 6 | j | = |   or   |\n| 11) | |4(k + 3)| | = | 20 | k | = |   or   |\n| 12) | |8 – 2l | | = | 6 | l | = |   or   |\n| 13) | 3|m – 5| | = | 21 | m | = |   or   |\n| 14) | |2n – 3| | = | 11 | n | = |   or   |\n| 15) | |10 – 2o| | = | 4 | o | = |   or   |\n| 16) | |3(p – 2)| | = | 24 | p | = |   or   |\n| 17) | 5|4 – q| | = | 30 | q | = |   or   |\n| 18) | ½ |r + 6| | = | 12 | r | = |   or   |\n| 19) | |½ (s – 3)| | = | 7 | s | = |   or   |\n| 20) | |6 – ¼ t| | = | 4 | t | = |   or   |\n\nName Date  \nABSOLUTE VALUES EQUATIONS 2 ANSWERS  \nWork out the solutions to these equations involving absolute values.  \n\n| 1) | |a – 4| | = | 8 | a | = | 12 | or | -4 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | |6 + b| | = | 10 | b | = | 4 | or | -16 |\n| 3) | |9 – c| | = | 4 | c | = | 5 | or | 13 |\n| 4) | |3 + d + 5| | = | 7 | d | = | -1 | or | -15 |\n| 5) | |2e| | = | 24 | e | = | 12 | or | -12 |\n| 6) | |2f + 1| | = | 13 | f | = | 6 | or | -7 |\n| 7) | 3|g – 4| | = | 12 | g | = | 8 | or | 0 |\n| 8) | ½ |h + 2| | = | 3 | h | = | 4 | or | -8 |\n| 9) | |4i| – |-7| | = | 1 | i | = | 2 | or | -2 |\n| 10) | |2(j – 3)| | = | 6 | j | = | 6 | or | 0 |\n| 11) | |4(k + 3)| | = | 20 | k | = | 2 | or | -8 |\n| 12) | |8 – 2l| | = | 6 | l | = | 3 | or | 7 |\n| 13) | 3|m – 5| | = | 21 | m | = | 12 | or | -2 |\n| 14) | |2n – 3| | = | 11 | n | = | 7 | or | -4 |\n| 15) | |10 – 2o| | = | 4 | o | = | 3 | or | 7 |\n| 16) | |3(p – 2)| | = | 24 | p | = | 10 | or | -6 |\n| 17) | 5|4 – q| | = | 30 | q | = | -2 | or | 10 |\n| 18) | ½ |r + 6| | = | 12 | r | = | 18 | or | -30 |\n| 19) | |½ (s – 3)| | = | 7 | s | = | 17 | or | -11 |\n| 20) | |6 – ¼ t| | = | 4 | t | = | 8 | or | 40 |","cbCaipsmMKfPNsPr","https://ap.wps.com/l/cbCaipsmMKfPNsPr","pdf",168437,"English","# Absolute Values Equations 2\n## Solve the equations\n## Answers","[{\"question\":\"What does the worksheet ask students to do?\",\"answer\":\"Work out the solutions to the absolute value equations listed on the page.\"},{\"question\":\"How are the solutions presented?\",\"answer\":\"The answers section gives each variable’s value, often showing both positive and negative solutions where relevant.\"},{\"question\":\"Do the equations include fractions and multiple-step expressions?\",\"answer\":\"Yes. Several equations use fractional coefficients (e.g., 1/2, 1/4) and multi-part expressions inside the absolute value.\"}]","ABSOLUTE VALUES EQUATIONS 2 - Work out the solutions | PDF",1792673724]