[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-267252-105":59,"doc-detail-267252-en":131},{"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":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","integers-and-absolute-value-sat-math-practice","Integers and Absolute Value - SAT Math Practice","","Integers and absolute value are taught through a quick review of how absolute value measures distance from zero on the number line. Key guidance emphasizes that absolute value is never negative and that a minus sign outside the bars must be handled after evaluating the magnitude. The material includes word problems and step-by-step solution explanations, focusing on evaluating expressions, converting signed values to positive amounts, and comparing distances and temperatures using |n|.",{"@graph":69,"@context":123},[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/integers-and-absolute-value-sat-math-practice/267252/",{"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/integers-and-absolute-value-sat-math-practice/267252.png","ImageObject",300,407,{"name":92,"@type":93},"Himbo","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",13,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What does absolute value |n| represent on the number line?","Question",{"text":113,"@type":114},"Absolute value |n| represents the distance of n from 0. It is never negative.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How should you handle a minus sign outside the absolute value bars?",{"text":118,"@type":114},"Evaluate the absolute value first, then apply the outside sign. For example, -|5| equals -(5).",{"name":120,"@type":111,"acceptedAnswer":121},"How do the word problems use absolute value to compare distance or sign?",{"text":122,"@type":114},"They treat distance from zero (or a reference value like 0) as the key idea. The problems ask for comparisons using |n| or for rewriting owed amounts and temperatures as positive numbers when required.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},267252,1789416357,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":81,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":39},687197100911,"https://ap-avatar.wpscdn.com/avatar/a000239b6f1da00475?x-image-process=image/resize,m_fixed,w_180,h_180&k=1785132997149421697","Practice 􀀏 Progress 􀀏 Succeed | SAT Math  \n~~ ~~  [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \nIntegers and Absolute Value  \n\n| Name:   | D | ate:   | S | core:   / 18 |\n| --- | --- | --- | --- | --- |\n\nQuick Review and Helpful Hints  \nThe absolute value | n | is the distance of n from 0 on the number line, so it is never negative:|􀀀7| = 7 and |7| = 7 . Watch a minus sign outside the bars – evaluate the absolute value 􀀂rst, then apply the sign: 􀀀|􀀀5| = 􀀀(5) = 􀀀5 . On the number line, numbers farther right are greater.  \n▷ Example: Evaluate 􀀀|􀀀9| . Work: Work inside the bars 􀀂rst: |􀀀9| = 9 because 􀀀9 is 9 units from zero. Then apply the minus sign outside.⋆ Answer: 􀀀9  \n9 units  \n−9 −6 −3 0  \n|−9| = 9 (distance from 0) .  \n♦ Word Problems  \n15. Diver A is at 􀀀340 feet and Diver B is at 􀀀180 feet. Using absolute value, who is closer to the surface, and by how much?  \n16. An account balance is 􀀀$62 . Write the amount owed as a positive number.  \n17. On a cold morning, one town is 􀀀5◦ and another is 3◦ . Which town is colder?  \n18. Points P = 􀀀7 and R = 5 lie on a number line. Find |P | + |R|, the total distance of the two points from zero.  \n[E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1  \nScan Me  \nPractice 􀀏 Progress 􀀏 Succeed | SAT Math  \nAnswer Keys  \n [E](EffortlessMath.com)[f](EffortlessMath.com)[f](EffortlessMath.com)[o](EffortlessMath.com)[r](EffortlessMath.com)[t](EffortlessMath.com)[l](EffortlessMath.com)[e](EffortlessMath.com)[s](EffortlessMath.com)[s](EffortlessMath.com)[M](EffortlessMath.com)[a](EffortlessMath.com)[t](EffortlessMath.com)[h](EffortlessMath.com)[.](EffortlessMath.com)[c](EffortlessMath.com)[o](EffortlessMath.com)[m](EffortlessMath.com)  \n1. 8 7. 23 13. 7  \n2. 15 8. 􀀀20 14. 4  \n3. 􀀀7 9. 0 15. B, by 160 ft  \n4. 34 10. 21 16. $62  \n5. 􀀀12 11. 24 17. 􀀀5◦  \n6. 0 12. 9 18. 12  \nStep-by-Step Explanations  \n1. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Absolute value is the distance from zero, and 􀀀8 is 8 units away, so |􀀀8| = 8 . So the 􀀂nal answer is 8.  \n2. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is 15 is already 15 units from zero, so |15| = 15 . So the 􀀂nal answer is 15.  \n3. Step by step: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Work inside the bars 􀀂rst: |􀀀7| = 7 . Then the minus sign outside makes it 􀀀7 . So the 􀀂nal answer is 􀀀7 .  \n4. Take it one move at a time: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is The distance of 􀀀34 from zero is 34. So the 􀀂nal answer is 34.  \n5. Start by naming the process: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a time. The setup/work is Inside 􀀂rst: |12| = 12 . The outside minus gives 􀀀12 . So the 􀀂nal answer is 􀀀12 .  \n6. A good way to think about this is: Read what the problem is asking, choose the matching rule, write the setup, and then simplify one step at a t","cbCaicMBG0fOQ5np","https://ap.wps.com/l/cbCaicMBG0fOQ5np","pdf",265771,"English","# Quick Review and Helpful Hints\n## Word Problems\n## Answer Keys\n## Step-by-Step Explanations","[{\"question\":\"What does absolute value |n| represent on the number line?\",\"answer\":\"Absolute value |n| represents the distance of n from 0. It is never negative.\"},{\"question\":\"How should you handle a minus sign outside the absolute value bars?\",\"answer\":\"Evaluate the absolute value first, then apply the outside sign. For example, -|5| equals -(5).\"},{\"question\":\"How do the word problems use absolute value to compare distance or sign?\",\"answer\":\"They treat distance from zero (or a reference value like 0) as the key idea. The problems ask for comparisons using |n| or for rewriting owed amounts and temperatures as positive numbers when required.\"}]","Integers and Absolute Value - SAT Math Practice | PDF"]