{"id":640,"date":"2013-05-14T06:48:36","date_gmt":"2013-05-14T06:48:36","guid":{"rendered":"http:\/\/www.mometrix.com\/academy\/?page_id=640"},"modified":"2026-03-26T09:42:14","modified_gmt":"2026-03-26T14:42:14","slug":"absolute-value","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/absolute-value\/","title":{"rendered":"Absolute Value"},"content":{"rendered":"\n\t\t\t<div id=\"mmDeferVideoEncompass_xd8TL0IZ4Wc\" style=\"position: relative;\">\n\t\t\t<picture>\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.webp\" type=\"image\/webp\">\n\t\t\t\t<source srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" type=\"image\/jpeg\"> \n\t\t\t\t<img fetchpriority=\"high\" decoding=\"async\" loading=\"eager\" id=\"videoThumbnailImage_xd8TL0IZ4Wc\" data-source-videoID=\"xd8TL0IZ4Wc\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/01\/circle-play-duotone.png\" alt=\"Absolute Value Video\" height=\"464\" width=\"825\" class=\"size-full\" data-matomo-title = \"Absolute Value\">\n\t\t\t<\/picture>\n\t\t\t<\/div>\n\t\t\t<style>img#videoThumbnailImage_xd8TL0IZ4Wc:hover {cursor:pointer;} img#videoThumbnailImage_xd8TL0IZ4Wc {background-size:contain;background-image:url(\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/02\/1116-absolute-value-1.webp\");}<\/style>\n\t\t\t<script defer>\n\t\t\t  jQuery(\"img#videoThumbnailImage_xd8TL0IZ4Wc\").click(function() {\n\t\t\t\tlet videoId = jQuery(this).attr(\"data-source-videoID\");\n\t\t\t\tlet helpTag = '<div id=\"mmDeferVideoYTMessage_xd8TL0IZ4Wc\" style=\"display: none;position: absolute;top: -24px;width: 100%;text-align: center;\"><span style=\"font-style: italic;font-size: small;border-top: 1px solid #fc0;\">Having trouble? <a href=\"https:\/\/www.youtube.com\/watch?v='+videoId+'\" target=\"_blank\">Click here to watch on YouTube.<\/a><\/span><\/div>';\n\t\t\t\tlet tag = document.createElement(\"iframe\");\n\t\t\t\ttag.id = \"yt\" + videoId;\n\t\t\t\ttag.src = \"https:\/\/www.youtube-nocookie.com\/embed\/\" + videoId + \"?autoplay=1&controls=1&wmode=opaque&rel=0&egm=0&iv_load_policy=3&hd=0&enablejsapi=1\";\n\t\t\t\ttag.frameborder = 0;\n\t\t\t\ttag.allow = \"autoplay; fullscreen\";\n\t\t\t\ttag.width = this.width;\n\t\t\t\ttag.height = this.height;\n\t\t\t\ttag.setAttribute(\"data-matomo-title\",\"Absolute Value\");\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_xd8TL0IZ4Wc\").html(tag);\n\t\t\t\tjQuery(\"div#mmDeferVideoEncompass_xd8TL0IZ4Wc\").prepend(helpTag);\n\t\t\t\tsetTimeout(function(){jQuery(\"div#mmDeferVideoYTMessage_xd8TL0IZ4Wc\").css(\"display\", \"block\");}, 2000);\n\t\t\t  });\n\t\t\t  \n\t\t\t<\/script>\n\t\t\n<p><script>\nfunction 9rS_Function() {\n  var x = document.getElementById(\"9rS\");\n  if (x.style.display === \"none\") {\n    x.style.display = \"block\";\n  } else {\n    x.style.display = \"none\";\n  }\n}\n<\/script><\/p>\n<div class=\"moc-toc hide-on-desktop hide-on-tablet\">\n<div><button onclick=\"9rS_Function()\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/toc2.svg\" width=\"16\" height=\"16\" alt=\"show or hide table of contents\"><\/button><\/p>\n<p>On this page<\/p>\n<\/div>\n<nav id=\"9rS\" style=\"display:none;\">\n<ul>\n<li class=\"toc-h2\"><a href=\"#What_is_Absolute_Value\" class=\"smooth-scroll\">What is Absolute Value?<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Notation\" class=\"smooth-scroll\">Notation<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Absolute_Value_of_Negative_Numbers\" class=\"smooth-scroll\">Absolute Value of Negative Numbers<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Absolute_Value_Examples\" class=\"smooth-scroll\">Absolute Value Examples<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Frequently_Asked_Questions\" class=\"smooth-scroll\">Frequently Asked Questions<\/a><\/li>\n<li class=\"toc-h2\"><a href=\"#Absolute_Value_Practice_Questions\" class=\"smooth-scroll\">Absolute Value Practice Questions<\/a><\/li>\n<\/ul>\n<\/nav>\n<\/div>\n<div class=\"accordion\"><input id=\"transcript\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"transcript\">Transcript<\/label><input id=\"FAQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"FAQs\">FAQs<\/label><input id=\"PQs\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQs\">Practice<\/label>\n<div class=\"spoiler\" id=\"transcript-spoiler\">\n<p>Hi, and welcome to this video about absolute value! We\u2019ll cover what the absolute value of a number is and how to calculate it, as well as what <strong>absolute difference<\/strong> is and how it relates to absolute value. Let&#8217;s get started!<\/p>\n<h2><span id=\"What_is_Absolute_Value\" class=\"m-toc-anchor\"><\/span>What is Absolute Value?<\/h2>\n<p>\nThe absolute value of a number is its distance from 0 on a <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/irrational-numbers-on-a-number-line\/\">number line<\/a>.  Let\u2019s use the number 6 as an example. Using a number line, we can see that 6 is six units away from 0. <\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/number-line-6-shadow.png\" alt=\"\" width=\"770\" height=\"125\" class=\"aligncenter size-full wp-image-87304\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/number-line-6-shadow.png 770w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/number-line-6-shadow-300x49.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/number-line-6-shadow-768x125.png 768w\" sizes=\"auto, (max-width: 770px) 100vw, 770px\" \/><br \/>\nTherefore, the absolute value of 6 is 6. Negative 6 is also six units away from 0. The absolute value of \u2013 6 is also 6.<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/number-line-negative-6-shadow.png\" alt=\"\" width=\"774\" height=\"126\" class=\"aligncenter size-full wp-image-87307\" srcset=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/number-line-negative-6-shadow.png 774w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/number-line-negative-6-shadow-300x49.png 300w, https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2021\/07\/number-line-negative-6-shadow-768x125.png 768w\" sizes=\"auto, (max-width: 774px) 100vw, 774px\" \/><\/p>\n<h2><span id=\"Notation\" class=\"m-toc-anchor\"><\/span>Notation<\/h2>\n<p>\nAbsolute value has a specific notation in mathematical expressions. For instance, the absolute value of 6 is denoted with two vertical lines: \\(|6|\\). And the absolute value of -6 is denoted as -6 with lines on either side, just as before: \\(|-6|\\).<\/p>\n<h2><span id=\"Absolute_Value_of_Negative_Numbers\" class=\"m-toc-anchor\"><\/span>Absolute Value of Negative Numbers<\/h2>\n<p>\nNow, as we just saw, the absolute value of 6 equals 6 and the absolute value of -6 also equals 6.<\/p>\n<p>No matter what number you are dealing with, big or large, positive or negative, the absolute value operation always yields a positive number. This is good to remember when evaluating <a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/reducing-rational-expressions\/\">expressions<\/a> and solving equations, but it&#8217;s also important to remember why. <\/p>\n<p>When we talk about distance, the direction doesn\u2019t matter. In everyday language, we wouldn\u2019t say, for instance, \u201cThe grocery store is negative 1 mile away.\u201d We&#8217;d simply say \u201cThe grocery store is a mile away.\u201d<\/p>\n<p>Similarly, on the number line, we are simply counting distance without specifying direction. So the absolute value of seven equals seven literally translates to &#8220;negative 7 is seven units away from 0.&#8221;<\/p>\n<p>When we evaluate expressions and solve equations, the absolute value <strong>brackets<\/strong> act very much like parentheses do in the order of operations. We evaluate what\u2019s inside the absolute value brackets first. <\/p>\n<h2><span id=\"Absolute_Value_Examples\" class=\"m-toc-anchor\"><\/span>Absolute Value Examples<\/h2>\n<p>\nLet&#8217;s look at a simple example.<\/p>\n<div class=\"examplesentence\">\\(1-|2+(-5)|\\)<\/div>\n<p>\n&nbsp;<br \/>\nWe evaluate what&#8217;s inside the brackets first, so 2 plus -5 equals -3, which gives us 1 minus the absolute value of -3. Negative 3 is three units away from zero, which means the absolute value of -3 is 3. This gives us 1 minus 3, which equals -2.<\/p>\n<p>Since absolute value is a calculation of a number\u2019s distance from zero, an absolute value expression such as the absolute value of 3 can be written as the absolute value of 3-0. Another way to interpret this statement is by saying &#8220;The distance between 3 and 0 is 3.\u201d  Writing it this way provides the same result. The second number here doesn\u2019t need to be 0, though. We can actually calculate the distance between any two numbers.<\/p>\n<p>On a number line, the distance between -2 and 8 is 10. As an expression, we might write it as the absolute value of -2 minus 8 equals 10. This is called an <strong>absolute difference<\/strong>.<\/p>\n<p>Let&#8217;s do a quick recap. The absolute value of a number is its distance from zero on a number line, and regardless of what number you&#8217;re working with, the answer will always be a positive number. The absolute difference is used to calculate the distance between any two numbers on the number line, not just a number and zero.<\/p>\n<p>I hope this review was helpful! Thanks for watching, and happy studying!<\/p>\n<\/div>\n<div class=\"spoiler\" id=\"FAQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Frequently_Asked_Questions\" class=\"m-toc-anchor\"><\/span>Frequently Asked Questions<\/h2>\n<div class=\"faq-list\">\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">What is absolute value?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Absolute value is the distance a number is from zero.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you find absolute value?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Find the absolute value of a number by determining how far away it is from zero. For example, \\(|-17| = 17\\) because \u201317 is 17 digits away from zero.<\/p>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you solve absolute value equations?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Solve absolute value equations by isolating the absolute value expression and then use both positive and negative answers to solve for the variable. Your variable will most likely equal two different values.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Solve for \\(x\\) in the equation \\(2|x &#8211; 3| = 14\\).<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\"> First, isolate the absolute value expression by dividing both sides by 2.<\/p>\n<p style=\"text-align:center;\"> \\(|x &#8211; 3| = 7\\)<\/p>\n<p> Then, solve \\(x &#8211; 3 = \u00b17\\).<\/p>\n<p style=\"text-align:center;\">  \\(x &#8211; 3 = 7\\)<br \/> \\(x = 10\\)<br \/> Or<br \/> \\(x &#8211; 3 = -7\\)<br \/> \\(x = -4\\)<\/p>\n<p style=\"margin-bottom: 0em\">So  \\(x = 10\\) or \\(x = -4\\).<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you solve absolute value inequalities?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>Solve absolute value inequalities by first manipulating the inequality so that the absolute value expression is isolated on one side. Then, remove the absolute value signs and place the expression between the positive and negative answer. Finally, manipulate to isolate the variable in the middle.<\/p>\n<div class=\"lightbulb-example-2\"><span class=\"lightbulb-icon\">\ud83d\udca1<\/span><span class=\"faq-example-question\">Example: Solve the inequality \\(4|2x &#8211; 3| \\lt 28\\).<\/span><\/p>\n<hr style=\"padding: 0; margin-top: -0.2em; margin-bottom: 1.2em\">\n<p style=\"text-align:center; margin-bottom: 0em; line-height: 40px\"> \\(4|2x &#8211; 3| \\lt 28\\)<br \/> \\(|2x &#8211; 3| \\lt 7\\)<br \/>\\( -7 \\lt 2x &#8211; 3 \\lt 7\\)<br \/> \\(-4 \\lt 2x \\lt 10\\)<br \/> \\(-2 \\lt x \\lt 5\\)<\/p>\n<\/div>\n<\/p><\/div>\n<\/p><\/div>\n<div class=\"qa_wrap\">\n<div class=\"q_item text_bold\">\n<h4 class=\"letter\">Q<\/h4>\n<p style=\"line-height: unset;\">How do you graph absolute value?<\/p>\n<\/p><\/div>\n<div class=\"a_item\">\n<h4 class=\"letter text_bold\">A<\/h4>\n<p>To graph absolute value equations, first graph the expression inside the absolute value signs. Then, whatever is under the \\(x\\)-axis on that graph, reflect over the \\(x\\)-axis so it is now positive.<\/p>\n<p>For example, this is how you would graph \\(y = |x + 1|\\):<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/10\/Graphing-absolute-value-equation-example.svg\" alt=\"Two graphs: the left shows y = x + 1, a straight line; the right shows y = |x + 1|, a V-shaped graph; both share the same set of plotted points.\" width=\"667\" height=\"316\" class=\"aligncenter size-full wp-image-273523\"  role=\"img\" \/><\/p>\n<\/p><\/div>\n<\/p><\/div>\n<\/div>\n<\/div>\n<div class=\"spoiler\" id=\"PQs-spoiler\">\n<h2 style=\"text-align:center\"><span id=\"Absolute_Value_Practice_Questions\" class=\"m-toc-anchor\"><\/span>Absolute Value Practice Questions<\/h2>\n\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #1:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(|-2|=\\) ?<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-1-1\">\u201320<\/div><div class=\"PQ\"  id=\"PQ-1-2\">-2<\/div><div class=\"PQ correct_answer\"  id=\"PQ-1-3\">2<\/div><div class=\"PQ\"  id=\"PQ-1-4\">20<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-1\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-1-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>Absolute value tells you how far away a number is from zero, so it is always the positive value of a number. In this case, the absolute value of \u20132 is 2, because \u20132 is two positions away from zero.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-1-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-1-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #2:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(|-3-11|=\\) ?<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-2-1\">\u20138<\/div><div class=\"PQ\"  id=\"PQ-2-2\">8<\/div><div class=\"PQ correct_answer\"  id=\"PQ-2-3\">14<\/div><div class=\"PQ\"  id=\"PQ-2-4\">\u201314<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-2\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-2-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, simplify the expression inside the absolute value bars.<\/p>\n<p style=\"text-align:center;\">\\(|-3-11|=|-14|\\)<\/p>\n<p>Then, take the absolute value of \u201314:<\/p>\n<p style=\"text-align:center;\">\\(|-14|=14\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-2-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-2-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #3:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(|4-7+8|=\\) ?<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-3-1\">5<\/div><div class=\"PQ\"  id=\"PQ-3-2\">\u20135<\/div><div class=\"PQ\"  id=\"PQ-3-3\">11<\/div><div class=\"PQ\"  id=\"PQ-3-4\">\u201311<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-3\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-3-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, simplify the expression in the absolute value bars.<\/p>\n<p style=\"text-align:center;\">\\(|4-7+8|=|5|\\)<\/p>\n<p>Then, take the absolute value of 5:<\/p>\n<p style=\"text-align:center;\">\\(|5|=5\\)<\/p>\n<p>The number 5 stays positive because it is five positions away from zero.<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-3-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-3-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #4:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(|6-7+2|-9=\\) ?<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ\"  id=\"PQ-4-1\">6<\/div><div class=\"PQ\"  id=\"PQ-4-2\">\u20136<\/div><div class=\"PQ\"  id=\"PQ-4-3\">8<\/div><div class=\"PQ correct_answer\"  id=\"PQ-4-4\">\u20138<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-4\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-4-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, simplify the expression in the absolute value bars.<\/p>\n<p style=\"text-align:center;\">\\(|1|-9\\)<\/p>\n<p>Then, take the absolute value of 1.<\/p>\n<p style=\"text-align:center;\">\\(1-9\\)<\/p>\n<p>Finally, subtract.<\/p>\n<p style=\"text-align:center;\">\\(1-9=-8\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-4-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-4-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div>\n\t\t\t\t<div class=\"PQ\">\n\t\t\t\t\t<strong>Question #5:<\/strong>\n\t\t\t\t\t<div style=\"margin-left:10px;\"><p>&nbsp;<br \/>\nSolve the following equation:<\/p>\n<div class=\"yellow-math-quote\">\\(4-|16+7-35|-21=\\) ?<\/div>\n<\/div>\n\t\t\t\t\t<div class=\"PQ-Choices\"><div class=\"PQ correct_answer\"  id=\"PQ-5-1\">\u201329<\/div><div class=\"PQ\"  id=\"PQ-5-2\">29<\/div><div class=\"PQ\"  id=\"PQ-5-3\">\u20135<\/div><div class=\"PQ\"  id=\"PQ-5-4\">5<\/div>\n\t\t\t\t\t<\/div>\n\t\t\t\t\t<input id=\"PQ-5\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5\" style=\"width: 150px;\">Show Answer<\/label>\n\t\t\t\t\t<div class=\"answer\" id=\"PQ-5-spoiler\">\n\t\t\t\t\t\t<strong>Answer:<\/strong><div style=\"margin-left:10px;\"><p>First, simplify the expression in the absolute value bars.<\/p>\n<p style=\"text-align:center;\">\\(4-|-12|-21\\)<\/p>\n<p>Then, take the absolute value of \u201312.<\/p>\n<p style=\"text-align:center;\">\\(4-12-21\\)<\/p>\n<p>Finally, subtract.<\/p>\n<p style=\"text-align:center;\">\\(4-12-21=-29\\)<\/p>\n<\/div>\n\t\t\t\t\t\t<input id=\"PQ-5-hide\" type=\"checkbox\" class=\"spoiler_button\" \/><label for=\"PQ-5-hide\" style=\"width: 150px;\">Hide Answer<\/label>\n\t\t\t\t\t<\/div>\n\t\t\t\t<\/div><\/div>\n<\/div>\n\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/algebra-i\/\">Return to Algebra I Videos<\/a><\/p>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>Return to Algebra I 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