[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-634385-105":3,"detail-sidebar-cat-0-en-105":80,"doc-detail-634385-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-1-work-out-the-solutions","ABSOLUTE VALUES EQUATIONS 1 - Work out the solutions","","Absolute Values Equations 1 provides a structured set of 20 absolute-value equations for solving. Each problem gives an expression with an absolute value and asks for the variable’s possible values, often yielding two solutions. A matching answers section lists the resolved values for a through t, including positive and negative outcomes. It focuses on applying absolute value reasoning to find all solutions for each linear absolute equation.",{"@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-1-work-out-the-solutions/634385/",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-1-work-out-the-solutions/634385.png","ImageObject",300,407,{"name":42,"@type":43},"Maya Linwood","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-01","2026-10-22",true,{"@type":52,"interactionType":53,"userInteractionCount":26},"InteractionCounter",{"@type":54},"ViewAction",{"@type":56,"mainEntity":57},"FAQPage",[58,64,68],{"name":59,"@type":60,"acceptedAnswer":61},"What does the worksheet ask you to do in Absolute Values Equations 1?","Question",{"text":62,"@type":63},"Work out the solutions to each absolute-value equation and find the values of the variable that satisfy it.","Answer",{"name":65,"@type":60,"acceptedAnswer":66},"Do the absolute-value equations have one solution or two solutions?",{"text":67,"@type":63},"Many of the equations produce two possible values, depending on how the absolute value definition splits the cases.",{"name":69,"@type":60,"acceptedAnswer":70},"Where can you check the results for each equation?",{"text":71,"@type":63},"The answers section titled “ABSOLUTE VALUES EQUATIONS 1 ANSWERS” lists the solutions for each variable a through t.","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},634385,1792879320,{"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":26,"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 1  \nWork out the solutions to these equations involving absolute values.  \n\n| 1) | |a + 2| | = | 5 | a | = |   or   |\n| --- | --- | --- | --- | --- | --- | --- |\n| 2) | |b – 3| | = | 2 | b | = |   or   |\n| 3) | |c + 7| | = | 1 | c | = |   or   |\n| 4) | |d – 2| | = | 9 | d | = |   or   |\n| 5) | |8-e| | = | 3 | e | = |   or   |\n| 6) | |2f| | = | 12 | f | = |   or   |\n| 7) | |11 – g| | = | 7 | g | = |   or   |\n| 8) | |h| + |5| | = | 8 | h | = |   or   |\n| 9) | |i| - |7| | = | 4 | i | = |   or   |\n| 10) | |7 – j| | = | 2 | j | = |   or   |\n| 11) | |2 + k – 3| | = | 12 | k | = |   or   |\n| 12) | |7 – l + 4| | = | 5 | l | = |   or   |\n| 13) | |m – 9| | = | 15 | m | = |   or   |\n| 14) | |n + 5| | = | 13 | n | = |   or   |\n| 15) | |2o + 1| | = | 9 | o | = |   or   |\n| 16) | |2p – 3| | = | 7 | p | = |   or   |\n| 17) | |2q| + |7| | = | 17 | q | = |   or   |\n| 18) | |2r – 5| | = | 11 | r | = |   or   |\n| 19) | |8 – s| | = | 14 | s | = |   or   |\n| 20) | |20 – 2t| | = | 6 | t | = |   or   |\n\nName Date  \nABSOLUTE VALUES EQUATIONS 1 ANSWERS  \nWork out the solutions to these equations involving absolute values.  \n\n| 1) | |a + 2| | = | 5 | a | = | 3 | or | -7 |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | |b – 3| | = | 2 | b | = | 5 | or | 1 |\n| 3) | |7 + c| | = | 1 | c | = | -6 | or | -8 |\n| 4) | |d – 2| | = | 9 | d | = | 11 | or | -7 |\n| 5) | |8-e| | = | 3 | e | = | 5 | or | 11 |\n| 6) | |2f| | = | 12 | f | = | 6 | or | -6 |\n| 7) | |11 – g| | = | 7 | g | = | 4 | or | 18 |\n| 8) | |h| + |5| | = | 8 | h | = | 3 | or | -3 |\n| 9) | |i| - |7| | = | 4 | i | = | 11 | or | -11 |\n| 10) | |7 – j| | = | 2 | j | = | 5 | or | 9 |\n| 11) | |2 + k – 3| | = | 12 | k | = | 13 | or | -11 |\n| 12) | |7 – l + 4| | = | 5 | l | = | 6 | or | 16 |\n| 13) | |m – 9| | = | 15 | m | = | 24 | or | -6 |\n| 14) | |n + 5| | = | 13 | n | = | 8 | or | -18 |\n| 15) | |2o + 1| | = | 9 | o | = | 4 | or | -5 |\n| 16) | |2p – 3| | = | 7 | p | = | 5 | or | -2 |\n| 17) | |2q| + |7| | = | 17 | q | = | 5 | or | -5 |\n| 18) | |2r – 5| | = | 11 | r | = | 8 | or | -3 |\n| 19) | |8 – s| | = | 14 | s | = | -6 | or | 22 |\n| 20) | |20 – 2t| | = | 6 | t | = | 7 | or | 13 |","cbCaic0dDx6u1pPB","https://ap.wps.com/l/cbCaic0dDx6u1pPB","pdf",167532,"English","# Absolute Values Equations 1\n## Solutions","[{\"question\":\"What does the worksheet ask you to do in Absolute Values Equations 1?\",\"answer\":\"Work out the solutions to each absolute-value equation and find the values of the variable that satisfy it.\"},{\"question\":\"Do the absolute-value equations have one solution or two solutions?\",\"answer\":\"Many of the equations produce two possible values, depending on how the absolute value definition splits the cases.\"},{\"question\":\"Where can you check the results for each equation?\",\"answer\":\"The answers section titled “ABSOLUTE VALUES EQUATIONS 1 ANSWERS” lists the solutions for each variable a through t.\"}]","ABSOLUTE VALUES EQUATIONS 1 - Work out the solutions | PDF",1792673722]