{"id":3062,"date":"2022-01-19T18:13:17","date_gmt":"2022-01-19T18:13:17","guid":{"rendered":"https:\/\/www.testgeek.com\/blog\/?p=3062"},"modified":"2022-02-15T19:54:39","modified_gmt":"2022-02-15T19:54:39","slug":"solve-absolute-value-questions-on-the-sat","status":"publish","type":"post","link":"https:\/\/www.testgeek.com\/blog\/solve-absolute-value-questions-on-the-sat\/","title":{"rendered":"Solve Absolute Value Questions on the SAT [Complete Guide]"},"content":{"rendered":"\n<p> SAT absolute value problems are one of those sneaky topics that can pop up on the test and catch you off guard.  They aren&#8217;t super common, so you may not even run into one when you take an SAT practice test, but it <em>is <\/em>a topic that&#8217;s sometimes tested on the SAT. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"681\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-0-2-1024x681.jpg\" alt=\"Smiley face balloon\n\" class=\"wp-image-3175\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-0-2-1024x681.jpg 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-0-2-300x200.jpg 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-0-2-768x511.jpg 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-0-2-800x532.jpg 800w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-0-2.jpg 1200w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><figcaption>Absolute values are always positive \ud83d\ude42<\/figcaption><\/figure><\/div>\n\n\n\n<p>If you&#8217;ve mastered the more common SAT math topics (like <a href=\"https:\/\/www.testgeek.com\/blog\/how-to-solve-linear-equations-on-the-sat\/(opens in a new tab)\" target=\"_blank\" rel=\"noreferrer noopener\">linear equations<\/a> and <a href=\"https:\/\/www.testgeek.com\/blog\/how-to-solve-linear-inequalities-on-the-sat\/(opens in a new tab)\" target=\"_blank\" rel=\"noreferrer noopener\">linear inequalities<\/a>) and you&#8217;re ready to work through some of the less common topics, this is a great place to start. We&#8217;ll cover everything you need to know about absolute value for the SAT.<\/p>\n\n\n\n<h4 class=\"has-text-align-center wp-block-heading\"><a href=\"https:\/\/www.testgeek.com\/sat-prep.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\" target=\"_blank\" rel=\"noreferrer noopener\">Looking for more SAT Math help? Check Out Test Geek\u2019s Free SAT Study Guide.<\/a><\/h4>\n\n\n\n<h2 class=\"wp-block-heading\">What is Absolute Value?<\/h2>\n\n\n\n<p>First things first. An absolute value looks like this:<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-1.png\" alt=\"\" class=\"wp-image-3151\" width=\"64\" height=\"35\"\/><\/figure><\/div>\n\n\n\n<p>Or this.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-2.png\" alt=\"\" class=\"wp-image-3152\" width=\"78\" height=\"43\"\/><\/figure><\/div>\n\n\n\n<p>Or even this.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-3.png\" alt=\"\" class=\"wp-image-3153\" width=\"120\" height=\"41\"\/><\/figure><\/div>\n\n\n\n<p>Get the idea?  It&#8217;s anything with those bars on either side.  The bars tell us to take the absolute value of whatever is inside.<\/p>\n\n\n\n<p>But let&#8217;s back up.  What <em>is <\/em>absolute value?<\/p>\n\n\n\n<p>Absolute value tells us how far a number is from zero on the number line.  It&#8217;s a <em>distance <\/em>measurement.  And the key thing to remember is that <strong>distance is always positive. <\/strong> You can&#8217;t be -5 miles from your school. You&#8217;re just 5 miles from school.  This rings true for absolute value. Let&#8217;s walk through this using a number line. <\/p>\n\n\n\n<p>How far is 3 from zero on the number line?<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-18.png\" alt=\"\" class=\"wp-image-3178\" width=\"292\" height=\"66\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-18.png 690w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-18-300x67.png 300w\" sizes=\"(max-width: 292px) 100vw, 292px\" \/><\/figure><\/div>\n\n\n\n<p>3 is 3 places from zero.  <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-21.png\" alt=\"\" class=\"wp-image-3180\" width=\"322\" height=\"66\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-21.png 672w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-21-300x61.png 300w\" sizes=\"(max-width: 322px) 100vw, 322px\" \/><\/figure><\/div>\n\n\n\n<p>This takes us all the way back to when we first learned counting.   Simple, right?<\/p>\n\n\n\n<p>What about -3? How far is -3 from zero on the number line? <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-19.png\" alt=\"\" class=\"wp-image-3179\" width=\"339\" height=\"68\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-19.png 689w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-19-300x60.png 300w\" sizes=\"(max-width: 339px) 100vw, 339px\" \/><\/figure><\/div>\n\n\n\n<p>It&#8217;s still 3 places from zero. <\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-20.png\" alt=\"\" class=\"wp-image-3181\" width=\"367\" height=\"78\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-20.png 695w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-20-300x64.png 300w\" sizes=\"(max-width: 367px) 100vw, 367px\" \/><\/figure><\/div>\n\n\n\n<p>When we take the absolute value of a number, we&#8217;re determining how far it is from zero on the number line. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">How Many Absolute Value Problems are on the SAT?<\/h2>\n\n\n\n<p>This is an important question to ask about <em>any <\/em> SAT math topic.  Topic frequency can help you prioritize which topics to study during test prep. <\/p>\n\n\n\n<p>SAT absolute value problems are quite rare.  You&#8217;ll either have 0 or 1 absolute value problems on the SAT Math section. So, basically, a 50\/50 shot of seeing this topic at all.<\/p>\n\n\n\n<p>So, before you spend too much time on absolute value problems, make sure you&#8217;re very confident in your ability to solve <a href=\"https:\/\/www.testgeek.com\/blog\/how-to-solve-linear-equations-on-the-sat\" target=\"_blank\" rel=\"noreferrer noopener\">linear equation questions<\/a>, which are far more frequently tested. <\/p>\n\n\n\n<h4 class=\"has-text-align-center wp-block-heading\"><strong><a href=\"https:\/\/www.testgeek.com\/sat-prep.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\">Feeling Overwhelmed? Get 1-on-1 SAT Help from a Test Geek Tuto<\/a><\/strong><a href=\"https:\/\/www.testgeek.com\/sat-prep.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\" target=\"_blank\" rel=\"noreferrer noopener\"><strong>r.<\/strong><\/a><\/h4>\n\n\n\n<h2 class=\"wp-block-heading\">How is Absolute Value Tested on the SAT?<\/h2>\n\n\n\n<p>Once you&#8217;ve answered the question &#8220;what is absolute value,&#8221; you&#8217;re ready to tackle how this concept is tested on the SAT.<\/p>\n\n\n\n<p>Absolute value problems can be tested as:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li>Equations containing an absolute value<\/li><li><a href=\"https:\/\/www.testgeek.com\/blog\/how-to-solve-linear-inequalities-on-the-sat\" target=\"_blank\" rel=\"noreferrer noopener\">Linear inequalities<\/a> containing an absolute value<\/li><\/ul>\n\n\n\n<p>Let&#8217;s look back at the first example we talked through. The absolute value of -3 and the absolute value of 3 are both 3.<\/p>\n\n\n\n<p class=\"has-text-align-center\">|-3| = |3|<\/p>\n\n\n\n<p>There are essentially two ways we can get to the &#8220;solution&#8221; of 3 here. We start with -3 or we start with 3. We can use this logic when we think about absolute value equations. Any time we have an absolute value in an equation, we have two possible solutions &#8211; two ways to get us to our end point.<\/p>\n\n\n\n<p><strong>To solve absolute value problems on the SAT, we need to follow this process:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Turn the absolute value into two equations or inequalities (I&#8217;ll show you how to do this below)<\/li><li>Solve both equations or inequalities<\/li><li>Consider all solutions found when selecting your answer choice.<\/li><\/ol>\n\n\n\n<p>Let&#8217;s walk through an example of<strong> <\/strong>a<strong> linear equation absolute value problem.<\/strong><\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"996\" height=\"682\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/01\/absolute-value-000.png\" alt=\"students working on a project together\" class=\"wp-image-3559\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/01\/absolute-value-000.png 996w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/01\/absolute-value-000-300x205.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/01\/absolute-value-000-768x526.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/01\/absolute-value-000-800x548.png 800w\" sizes=\"(max-width: 996px) 100vw, 996px\" \/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\">SAT Absolute Value SAT Problems<\/h2>\n\n\n\n<p class=\"has-vivid-cyan-blue-color has-text-color\"><strong>Example 1:<\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-5.png\" alt=\"\" class=\"wp-image-3154\" width=\"376\" height=\"35\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-5.png 996w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-5-300x28.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-5-768x72.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-5-800x75.png 800w\" sizes=\"(max-width: 376px) 100vw, 376px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-4.png\" alt=\"\" class=\"wp-image-3155\" width=\"153\" height=\"91\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-4.png 341w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-4-300x178.png 300w\" sizes=\"(max-width: 153px) 100vw, 153px\" \/><\/figure><\/div>\n\n\n\n<p>Following our steps, we&#8217;ll first turn each absolute value equation into two equations. Let&#8217;s start with the first equation.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-6.png\" alt=\"\" class=\"wp-image-3156\" width=\"308\" height=\"151\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-6.png 688w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-6-300x147.png 300w\" sizes=\"(max-width: 308px) 100vw, 308px\" \/><\/figure><\/div>\n\n\n\n<p>We remove the absolute value bars, and the left side remains the same. On the right side, we flip the sign for the second equation. Doing this allows us to account for there being two possible solutions.<\/p>\n\n\n\n<p>Solve.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-8.png\" alt=\"\" class=\"wp-image-3157\" width=\"291\" height=\"212\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-8.png 680w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-8-300x218.png 300w\" sizes=\"(max-width: 291px) 100vw, 291px\" \/><\/figure><\/div>\n\n\n\n<p>We have two solutions for our first equation. <\/p>\n\n\n\n<p>Now we need to follow the same process for the second equation.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-7.png\" alt=\"\" class=\"wp-image-3158\" width=\"280\" height=\"169\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-7.png 673w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-7-300x181.png 300w\" sizes=\"(max-width: 280px) 100vw, 280px\" \/><\/figure><\/div>\n\n\n\n<p>Solve.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-9.png\" alt=\"\" class=\"wp-image-3159\" width=\"311\" height=\"225\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-9.png 658w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-9-300x217.png 300w\" sizes=\"(max-width: 311px) 100vw, 311px\" \/><\/figure><\/div>\n\n\n\n<p>Going back to our question, we&#8217;re being asked which value of x satisfies both equations. In other words, which value of x is a solution for both equations. <\/p>\n\n\n\n<p>Our answer would be x = 10 because this was a solution for both equations.<\/p>\n\n\n\n<p><br>Now, let&#8217;s try a <strong>linear inequality absolute value problem.<\/strong><\/p>\n\n\n\n<h4 class=\"has-text-align-center wp-block-heading\"><a href=\"https:\/\/www.testgeek.com\/sat-prep.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\" target=\"_blank\" rel=\"noreferrer noopener\">What would 200 EXTRA POINTS do for you? Boost Your SAT Score with Test Geek SAT prep.<\/a><\/h4>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 2:<\/span><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-large is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-10-1024x69.png\" alt=\"\" class=\"wp-image-3160\" width=\"441\" height=\"29\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-10-1024x69.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-10-300x20.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-10-768x51.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-10-800x54.png 800w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-10.png 1180w\" sizes=\"(max-width: 441px) 100vw, 441px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-11.png\" alt=\"\" class=\"wp-image-3161\" width=\"133\" height=\"130\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-11.png 360w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-11-300x293.png 300w\" sizes=\"(max-width: 133px) 100vw, 133px\" \/><\/figure><\/div>\n\n\n\n<p>First, we turn this into two equations and we follow the same general rules as we did for <strong>Example 2<\/strong>. Drop the absolute value bars. Now, because we&#8217;re working with an inequality, we must flip <em>both <\/em>the inequality sign and the sign of the value on the right side.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-12.png\" alt=\"\" class=\"wp-image-3162\" width=\"346\" height=\"145\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-12.png 900w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-12-300x127.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-12-768x325.png 768w\" sizes=\"(max-width: 346px) 100vw, 346px\" \/><\/figure><\/div>\n\n\n\n<p>Now solve both equations for x.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-13.png\" alt=\"\" class=\"wp-image-3163\" width=\"371\" height=\"220\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-13.png 933w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-13-300x178.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-13-768x455.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-13-800x474.png 800w\" sizes=\"(max-width: 371px) 100vw, 371px\" \/><\/figure><\/div>\n\n\n\n<p>Putting it together, we get -4 &lt; x &lt; 9, so our answer is B.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"455\" height=\"682\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/01\/absolute-value-00-1.png\" alt=\"three male students talking outside of a building\" class=\"wp-image-3558\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/01\/absolute-value-00-1.png 455w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/01\/absolute-value-00-1-200x300.png 200w\" sizes=\"(max-width: 455px) 100vw, 455px\" \/><\/figure><\/div>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 3:<\/span><\/strong><\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-14.png\" alt=\"\" class=\"wp-image-3164\" width=\"399\" height=\"59\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-14.png 957w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-14-300x44.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-14-768x113.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-14-800x118.png 800w\" sizes=\"(max-width: 399px) 100vw, 399px\" \/><\/figure><\/div>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-15.png\" alt=\"\" class=\"wp-image-3165\" width=\"113\" height=\"137\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-15.png 317w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-15-247x300.png 247w\" sizes=\"(max-width: 113px) 100vw, 113px\" \/><\/figure><\/div>\n\n\n\n<p>There are two ways to tackle this question. <\/p>\n\n\n\n<p>Option 1: Plug in your answer choices for x and test if you get 2.<\/p>\n\n\n\n<p>Option 2: Solve the absolute value equation as we have done in <strong>Examples 1 and 2 <\/strong>above, by splitting it into two distinct equations.<\/p>\n\n\n\n<p>Either option will work.  One may take you longer than the other.  It&#8217;s worth practicing to see which method you prefer (and which is faster).  Let&#8217;s give Option 1 a try. <\/p>\n\n\n\n<p>Plug in x = 5.<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-16.png\" alt=\"\" class=\"wp-image-3166\" width=\"160\" height=\"138\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-16.png 384w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-16-300x257.png 300w\" sizes=\"(max-width: 160px) 100vw, 160px\" \/><\/figure><\/div>\n\n\n\n<p>Does that work?  Yes! So, we know 5 can work.  But, don&#8217;t pull the trigger too quickly on answer A. We can eliminate B because it doesn&#8217;t include x= 5, but we could have multiple solutions for x, so we need to test answers C and D. <\/p>\n\n\n\n<p>Plug in x = 1<\/p>\n\n\n\n<div class=\"wp-block-image\"><figure class=\"aligncenter size-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/12\/absolute-value-on-the-sat-17.png\" alt=\"\" class=\"wp-image-3167\" width=\"138\" height=\"141\"\/><\/figure><\/div>\n\n\n\n<p>Does that work?  Yes again!  Now we have our answer, C. <\/p>\n\n\n\n<h2 class=\"wp-block-heading\">Final Thoughts on Absolute Value for the SAT<\/h2>\n\n\n\n<p>SAT absolute value problems are rare.  Expect to see either 0 or 1 questions that test absolute value.  But, while rare, it&#8217;s a fairly straightforward topic that we recommend you take the time to review once you&#8217;ve mastered the more common SAT math topics.<\/p>\n\n\n\n<p>Absolute value is all about computing the <em>distance <\/em>from zero on the number line. When solving SAT absolute value problems, it boils down to your ability to successfully split the given equation into two, accounting for the two solutions that are possible when dealing with absolute value.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><a href=\"https:\/\/www.testgeek.com\/online-sat-tutoring-online-act-tutoring.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\" target=\"_blank\" rel=\"noopener\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"341\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9.png\" alt=\"\" class=\"wp-image-4075\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9-300x100.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9-768x256.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-9-800x266.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>SAT absolute value problems are one of those sneaky topics that can pop up on the test and catch you off guard. They aren&#8217;t super common, so you may not even run into one when you take an SAT practice test, but it is a topic that&#8217;s sometimes tested on the SAT. If you&#8217;ve mastered the more common SAT math topics (like linear equations and linear inequalities) and you&#8217;re ready to work through some of the less common topics, this is a great place to start. We&#8217;ll cover everything you need to know about absolute value for the SAT. Looking [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":3559,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_monsterinsights_skip_tracking":false,"_monsterinsights_sitenote_active":false,"_monsterinsights_sitenote_note":"","_monsterinsights_sitenote_category":0,"footnotes":""},"categories":[191,186,190,192,187],"tags":[182,21,20,173,172],"class_list":["post-3062","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-act","category-act-math","category-sat","category-sat-general","category-sat-math","tag-absolute-value","tag-free-sat","tag-sat","tag-sat-help","tag-sat-math"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Solve Absolute Value Questions on the SAT [Complete Guide] - Test Geek Blog<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.testgeek.com\/blog\/solve-absolute-value-questions-on-the-sat\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Solve Absolute Value Questions on the SAT [Complete Guide] - Test Geek Blog\" \/>\n<meta property=\"og:description\" content=\"SAT absolute value problems are one of those sneaky topics that can pop up on the test and catch you off guard. They aren&#8217;t super common, so you may not even run into one when you take an SAT practice test, but it is a topic that&#8217;s sometimes tested on the SAT. If you&#8217;ve mastered the more common SAT math topics (like linear equations and linear inequalities) and you&#8217;re ready to work through some of the less common topics, this is a great place to start. We&#8217;ll cover everything you need to know about absolute value for the SAT. 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