{"id":2878,"date":"2022-01-14T23:37:57","date_gmt":"2022-01-14T23:37:57","guid":{"rendered":"https:\/\/www.testgeek.com\/blog\/?p=2878"},"modified":"2022-02-15T19:58:09","modified_gmt":"2022-02-15T19:58:09","slug":"how-to-solve-linear-equations-on-the-sat","status":"publish","type":"post","link":"https:\/\/www.testgeek.com\/blog\/how-to-solve-linear-equations-on-the-sat\/","title":{"rendered":"How to Solve Linear Equations on the SAT"},"content":{"rendered":"\n<p>Remember when you realized that math wasn\u2019t just numbers?  Suddenly letters were involved, too?  It\u2019s at that point that you started to learn algebra.  Depending on how long ago your memory is drifting back to, you might be rusty on this whole basic algebra thing.<\/p>\n\n\n\n<p>On the SAT Math section, there\u2019s a set of questions called <a href=\"https:\/\/www.testgeek.com\/blog\/sat-math-heart-of-algebra-ultimate-guide\/\" target=\"_blank\" rel=\"noreferrer noopener\">The Heart of Algebra<\/a>.  Essentially, this is all about the fundamentals of algebra.  And, at the very beginning of all algebra concepts is linear equations.<\/p>\n\n\n\n<h4 class=\"has-text-align-center wp-block-heading\"><a href=\"https:\/\/www.testgeek.com\/free-sat-prep.html?utm_source=blog&amp;utm_medium=blog&amp;utm_campaign=blog_highlight\" target=\"_blank\" rel=\"noreferrer noopener\">Kickstart Your SAT Prep with Test Geek&#8217;s Free SAT Study Guide.<\/a><\/h4>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"what-are-linear-equations\">What are Linear Equations?<\/h2>\n\n\n\n<p>Linear equations make straight lines on graphs. <\/p>\n\n\n\n<p>Makes sense, right?  Linear = straight. <\/p>\n\n\n\n<p>The reason linear equations make straight lines when graphed is because they don\u2019t have exponents.  No exponents mean we\u2019re always going to have a straight line.<\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img fetchpriority=\"high\" decoding=\"async\" width=\"1024\" height=\"684\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/Linear_Equations_On_the_SAT_Straight_Lines_Abstract-1024x684.jpg\" alt=\"\" class=\"wp-image-2883\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/Linear_Equations_On_the_SAT_Straight_Lines_Abstract-1024x684.jpg 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/Linear_Equations_On_the_SAT_Straight_Lines_Abstract-300x200.jpg 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/Linear_Equations_On_the_SAT_Straight_Lines_Abstract-768x513.jpg 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/Linear_Equations_On_the_SAT_Straight_Lines_Abstract-1536x1025.jpg 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/Linear_Equations_On_the_SAT_Straight_Lines_Abstract-2048x1367.jpg 2048w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/Linear_Equations_On_the_SAT_Straight_Lines_Abstract-800x534.jpg 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n\n\n\n<p>On a real SAT, you\u2019ll likely find 2-4 questions that test how to solve linear equations.  They could be:<\/p>\n\n\n\n<ul class=\"wp-block-list\"><li><strong>Linear equations in one variable<\/strong> &#8211; a linear equation that contains one variable (something like x <strong>or <\/strong>y)<\/li><li><strong>Linear equations in two variables<\/strong> &#8211; a linear equation that contains two different variables (something like x<strong> and<\/strong> y)<\/li><li><strong>Word problems that involve linear equations<\/strong><\/li><\/ul>\n\n\n\n<p>This makes linear equations a frequently tested topic on the SAT.  You should be able to identify linear equations and be able to consistently solve linear equations of both one and two variables.<\/p>\n\n\n\n<p>We\u2019ll start with linear equations in one variable.<\/p>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"linear-equations-in-one-variable\">Linear Equations in One Variable<\/h2>\n\n\n\n<p>First, you need to be able to identify linear equations in one variable.  This is important because the SAT isn\u2019t going to tell you what skill is required on a particular question.  It\u2019s your responsibility to know (a) what type of question you\u2019re working with and (b) how to solve it.<\/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<h3 class=\"wp-block-heading\">How to Identify a Linear Equation in One Variable on the SAT<\/h3>\n\n\n\n<p>Linear equations in one variable will contain:<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>A single variable<\/li><li>No exponents<\/li><\/ol>\n\n\n\n<p>Let\u2019s do a knowledge check<\/p>\n\n\n\n<p>Which of these are linear equations in one variable?<\/p>\n\n\n\n<figure class=\"wp-block-table aligncenter\"><table><tbody><tr><td> &nbsp;<img decoding=\"async\" width=\"200\" height=\"68\" class=\"wp-image-2924\" style=\"width: 200px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-1-1.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-1-1.png 401w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-1-1-300x102.png 300w\" sizes=\"(max-width: 200px) 100vw, 200px\" \/><\/td><td><img decoding=\"async\" width=\"50\" height=\"49\" class=\"wp-image-2916\" style=\"width: 50px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280.png 1280w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-300x294.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-1024x1005.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-150x150.png 150w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-768x754.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-180x180.png 180w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-400x400.png 400w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-600x600.png 600w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-800x785.png 800w\" sizes=\"(max-width: 50px) 100vw, 50px\" \/><\/td><td>There are no exponents, and we have a single variable (x).<\/td><\/tr><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"58\" class=\"wp-image-2925\" style=\"width: 150px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-2-1.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-2-1.png 320w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-2-1-300x116.png 300w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><\/td><td><img loading=\"lazy\" decoding=\"async\" width=\"50\" height=\"50\" class=\"wp-image-2915\" style=\"width: 50px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280.png 1280w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-300x300.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-1024x1024.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-150x150.png 150w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-768x768.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-180x180.png 180w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-400x400.png 400w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-600x600.png 600w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-800x800.png 800w\" sizes=\"(max-width: 50px) 100vw, 50px\" \/><\/td><td>Our variable (a) has an exponent.<\/td><\/tr><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"350\" height=\"60\" class=\"wp-image-2926\" style=\"width: 350px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-3-1.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-3-1.png 481w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-3-1-300x52.png 300w\" sizes=\"(max-width: 350px) 100vw, 350px\" \/><\/td><td> <img loading=\"lazy\" decoding=\"async\" width=\"50\" height=\"50\" class=\"wp-image-2915\" style=\"width: 50px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280.png 1280w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-300x300.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-1024x1024.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-150x150.png 150w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-768x768.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-180x180.png 180w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-400x400.png 400w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-600x600.png 600w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-800x800.png 800w\" sizes=\"(max-width: 50px) 100vw, 50px\" \/> <\/td><td>We have two variables (x and y).  This is a linear equation in two variables.  We\u2019ll get to these later.<\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<p>Now that we know how to identify linear equations in one variable, we can talk about how to solve these linear equations.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">How to Solve Linear Equations in One Variable<\/h3>\n\n\n\n<p>The key to solving linear equations in one variable is <strong>isolating the variable. <\/strong> In other words, we want to get our variable all by itself.<\/p>\n\n\n\n<p><strong>Rule:<\/strong> Whenever you do something to one side of an equation, you <strong><em>must <\/em><\/strong>do it to the other side as well. <\/p>\n\n\n\n<p>Remember this rule and you\u2019ll be a whiz at linear equations in no time.<\/p>\n\n\n\n<p>Let&#8217;s look at an example.<\/p>\n\n\n\n<p> <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 1:<\/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\/11\/linear-equations-for-sat-4.png\" alt=\"\" class=\"wp-image-2929\" width=\"146\" height=\"60\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-4.png 334w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-4-300x123.png 300w\" sizes=\"(max-width: 146px) 100vw, 146px\" \/><\/figure><\/div>\n\n\n\n<p>Ask yourself, \u201chow would you isolate x?\u201d<\/p>\n\n\n\n<p>There are several paths you can take here, but I\u2019m always looking for the simplest (and fastest) path on the SAT.  Don\u2019t waste any time!<\/p>\n\n\n\n<p>We can start to get x by itself by getting rid of the 4 that\u2019s on the left side.  We can subtract this 4 from the left side, but we\u2019ll also need to subtract 4 from the right side.  Remember that rule!  What you do to one side, you must also do to the other 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\/11\/linear-equations-for-sat-5-1.png\" alt=\"\" class=\"wp-image-2931\" width=\"139\" height=\"80\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-5-1.png 336w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-5-1-300x172.png 300w\" sizes=\"(max-width: 139px) 100vw, 139px\" \/><\/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\/11\/linear-equations-for-sat-6.png\" alt=\"\" class=\"wp-image-2932\" width=\"111\" height=\"53\"\/><\/figure><\/div>\n\n\n\n<p>Great! We\u2019re getting closer. Now, we need to get rid of that 8 attached to our x. It\u2019s important to note that when you have a number right next to a variable like that, it\u2019s being multiplied.<\/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\/11\/linear-equations-for-sat-7.png\" alt=\"\" class=\"wp-image-2937\" width=\"120\" height=\"46\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-7.png 302w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-7-300x114.png 300w\" sizes=\"(max-width: 120px) 100vw, 120px\" \/><\/figure><\/div>\n\n\n\n<p>So, if you want to get rid of the 8, we need to <strong><em>divide both sides <\/em><\/strong>by 8.<\/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\/11\/linear-equations-for-sat-7-1.png\" alt=\"\" class=\"wp-image-2988\" width=\"135\" height=\"51\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-7-1.png 302w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-7-1-300x114.png 300w\" sizes=\"(max-width: 135px) 100vw, 135px\" \/><\/figure><\/div>\n\n\n\n<p>Look at that! We\u2019ve isolated our variable.  That\u2019s our answer.<\/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\/11\/linear-equations-for-sat-8.png\" alt=\"\" class=\"wp-image-2938\" width=\"99\" height=\"36\"\/><\/figure><\/div>\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-full is-resized\"><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-9.png\" alt=\"\" class=\"wp-image-2939\" width=\"109\" height=\"102\"\/><\/figure><\/div>\n\n\n\n<p>In order to start isolating our variable, we need to get rid of that 4. 6x is being divided by 4. The opposite of division is multiplication. So, we are going to multiply both sides by 4.<\/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\/11\/linear-equations-for-sat-10.png\" alt=\"\" class=\"wp-image-2940\" width=\"156\" height=\"117\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-10.png 370w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-10-300x225.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-10-180x135.png 180w\" sizes=\"(max-width: 156px) 100vw, 156px\" \/><\/figure><\/div>\n\n\n\n<p>Now it looks like Example 1.  To isolate x, we divide both sides by 6.<\/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\/11\/linear-equations-for-sat-54.png\" alt=\"\" class=\"wp-image-2989\" width=\"156\" height=\"122\"\/><\/figure><\/div>\n\n\n\n<p>And, we have our answer.<\/p>\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\/11\/linear-equations-for-sat-11.png\" alt=\"\" class=\"wp-image-2943\" width=\"178\" height=\"73\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-11.png 388w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-11-300x123.png 300w\" sizes=\"(max-width: 178px) 100vw, 178px\" \/><\/figure><\/div>\n\n\n\n<p>Time for another practice question.<\/p>\n\n\n\n<p><strong>Tip:<\/strong> Any time you see one fraction that is set equal to another fraction, you should be thinking <em>multiply and divide. <\/em> Or, you may be more familiar with the term <em>cross multiply and divide.<\/em><\/p>\n\n\n\n<p>Recall that a fraction is<\/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\/11\/linear-equations-for-sat-12.png\" alt=\"\" class=\"wp-image-2944\" width=\"154\" height=\"66\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-12.png 371w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-12-300x128.png 300w\" sizes=\"(max-width: 154px) 100vw, 154px\" \/><\/figure><\/div>\n\n\n\n<p>To <strong>multiply and divide<\/strong>, use this formula:<\/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\/11\/linear-equations-for-sat-13-1024x76.png\" alt=\"\" class=\"wp-image-2945\" width=\"732\" height=\"54\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-13-1024x76.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-13-300x22.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-13-768x57.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-13-1536x115.png 1536w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-13-1600x120.png 1600w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-13-800x60.png 800w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-13.png 1609w\" sizes=\"(max-width: 732px) 100vw, 732px\" \/><\/figure><\/div>\n\n\n\n<p>Plug in to the <strong>multiply and divide <\/strong>formula.<\/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\/11\/linear-equations-for-sat-14.png\" alt=\"\" class=\"wp-image-2946\" width=\"226\" height=\"60\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-14.png 525w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-14-300x79.png 300w\" sizes=\"(max-width: 226px) 100vw, 226px\" \/><\/figure><\/div>\n\n\n\n<p>Multiply out to help simplify.  To perform multiplication on the right side, you need to distribute that 3 into every term inside the parentheses.<\/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\/11\/linear-equations-for-sat-20.png\" alt=\"\" class=\"wp-image-2949\" width=\"227\" height=\"69\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-20.png 578w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-20-300x92.png 300w\" sizes=\"(max-width: 227px) 100vw, 227px\" \/><\/figure><\/div>\n\n\n\n<p>Combine like terms. Subtract the 3x from both sides.<\/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\/11\/linear-equations-for-sat-15.png\" alt=\"\" class=\"wp-image-2950\" width=\"115\" height=\"42\"\/><\/figure><\/div>\n\n\n\n<p>Sometimes SAT linear equation questions won\u2019t be so straightforward, though.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Linear Equation in One Variable &#8211; Word Problems<\/h3>\n\n\n\n<p>Occasionally SAT linear equation questions are in the form of word problems.  I know, I know. Word problems probably aren&#8217;t your favorite, but don&#8217;t be tempted to just skip these questions because there&#8217;s lots to read.  They&#8217;re actually pretty simple. <\/p>\n\n\n\n<p>When we have a word problem, we need to translate the words into a mathematical equation.  Then, we can solve it just like we\u2019ve done previously.  Don\u2019t let wordiness on the SAT trip you up.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 4:<\/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\/11\/linear-equations-for-sat-55-1.png\" alt=\"\" class=\"wp-image-2993\" width=\"463\" height=\"145\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-55-1.png 729w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-55-1-300x94.png 300w\" sizes=\"(max-width: 463px) 100vw, 463px\" \/><\/figure><\/div>\n\n\n\n<p><strong>Rule<\/strong>: \u201cIs\u201d in a word problem can be translated as \u201c=\u201d<\/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\/11\/linear-equations-for-sat-56-1.png\" alt=\"\" class=\"wp-image-2995\" width=\"263\" height=\"73\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-56-1.png 388w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-56-1-300x84.png 300w\" sizes=\"(max-width: 263px) 100vw, 263px\" \/><\/figure><\/div>\n\n\n\n<p>Now we need to translate \u201c10 more than 14.\u201d We can think about \u201cmore\u201d as \u201c+.\u201d<\/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\/11\/linear-equations-for-sat-57.png\" alt=\"\" class=\"wp-image-2994\" width=\"162\" height=\"99\"\/><\/figure><\/div>\n\n\n\n<p>Let\u2019s put it all together.<\/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\/11\/linear-equations-for-sat-16.png\" alt=\"\" class=\"wp-image-2955\" width=\"160\" height=\"37\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-16.png 403w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-16-300x70.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-16-400x94.png 400w\" sizes=\"(max-width: 160px) 100vw, 160px\" \/><\/figure><\/div>\n\n\n\n<p>Simplify 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\/11\/linear-equations-for-sat-17.png\" alt=\"\" class=\"wp-image-2956\" width=\"141\" height=\"46\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-17.png 328w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-17-300x97.png 300w\" sizes=\"(max-width: 141px) 100vw, 141px\" \/><\/figure><\/div>\n\n\n\n<p>Now it looks just like the simple linear equations we\u2019ve been working with.  Let\u2019s isolate that variable.<\/p>\n\n\n\n<p>Start by subtracting 16 from both sides.<\/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\/11\/linear-equations-for-sat-18-1.png\" alt=\"\" class=\"wp-image-2957\" width=\"150\" height=\"81\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-18-1.png 388w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-18-1-300x164.png 300w\" sizes=\"(max-width: 150px) 100vw, 150px\" \/><\/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\/11\/linear-equations-for-sat-23.png\" alt=\"\" class=\"wp-image-2958\" width=\"106\" height=\"65\"\/><\/figure><\/div>\n\n\n\n<p>Now we divide both sides by 4.<\/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\/11\/linear-equations-for-sat-24.png\" alt=\"\" class=\"wp-image-2959\" width=\"96\" height=\"112\"\/><\/figure><\/div>\n\n\n\n<p>We have our answer!  Right? \u2026..right?  Nope.  We always need to circle back up to the original question and make sure we are truly answering the SAT\u2019s question.<\/p>\n\n\n\n<p>Let\u2019s take a look.<\/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\/11\/linear-equations-for-sat-55-1.png\" alt=\"\" class=\"wp-image-2993\" width=\"496\" height=\"156\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-55-1.png 729w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-55-1-300x94.png 300w\" sizes=\"(max-width: 496px) 100vw, 496px\" \/><\/figure><\/div>\n\n\n\n<p>In this case, the SAT is asking us for the value of 8x.  So, we need to multiply the x value we found by 8 to get the final answer.<\/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\/11\/linear-equations-for-sat-58.png\" alt=\"\" class=\"wp-image-2996\" width=\"130\" height=\"93\"\/><\/figure><\/div>\n\n\n\n<p>The answer is C.<\/p>\n\n\n\n<p> <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 5:<\/span><\/strong> <\/p>\n\n\n\n<p>x + y = 45<\/p>\n\n\n\n<p>The equation above relates the number of minutes, x, Eli spends running each day and the number of minutes, y, he spends skateboarding each day. In the equation, what does the number 45 represent?<\/p>\n\n\n\n<p>A) The number of minutes spent running each day<\/p>\n\n\n\n<p>B) The number of minutes spent skateboarding each day<\/p>\n\n\n\n<p>C) The total number of minutes spent running and skateboarding each day<\/p>\n\n\n\n<p>D) The number of minutes spent skateboarding for each minute spent running<\/p>\n\n\n\n<p>This question is testing your understanding of the relationship between a real-word concept and algebraic expression. We need to reason through what the equation represents in order to solve this correctly.<\/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>If x represents the number of minutes spent running and y represents the number of minutes spent skateboarding, and we add those two numbers together what do we get? We should get the <em>total <\/em>number of minutes Eli spent doing these two things. This makes our answer C. <\/p>\n\n\n\n<figure class=\"wp-block-image size-large\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"683\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/Linear-Equations-on-the-SAT-00-1024x683.jpg\" alt=\"\" class=\"wp-image-3057\"\/><\/figure>\n\n\n\n<h2 class=\"wp-block-heading\" id=\"linear-equations-in-two-variables\">Linear Equations in Two Variables<\/h2>\n\n\n\n<p>Let\u2019s move on to linear equations in two variables.  Linear equations in two variables have multiple variables.<\/p>\n\n\n\n<p><strong>Rule:<\/strong> We need one distinct equation for each variable.<\/p>\n\n\n\n<p>If we have two variables (x and y), we need two equations in order to solve for x and y.  If we have three variables (ex. a, b, c), we need three equations in order to solve for a, b and c.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">How to Identify a Linear Equation in Two Variables on the SAT<\/h3>\n\n\n\n<p>Check if both are true:<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>More than one variable<\/li><li>No variables have exponents.<\/li><\/ol>\n\n\n\n<p>Let\u2019s do a knowledge check.<\/p>\n\n\n\n<figure class=\"wp-block-table\"><table><tbody><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"200\" height=\"111\" class=\"wp-image-2960\" style=\"width: 200px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-25.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-25.png 332w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-25-300x167.png 300w\" sizes=\"(max-width: 200px) 100vw, 200px\" \/>&nbsp;  &nbsp;<\/td><td><img loading=\"lazy\" decoding=\"async\" width=\"50\" height=\"50\" class=\"wp-image-2915\" style=\"width: 50px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280.png 1280w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-300x300.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-1024x1024.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-150x150.png 150w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-768x768.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-180x180.png 180w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-400x400.png 400w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-600x600.png 600w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-800x800.png 800w\" sizes=\"(max-width: 50px) 100vw, 50px\" \/><\/td><td>Contains only one variable. Even though the variable x shows up twice, it\u2019s still the <em>same <\/em>variable, so it counts as one.<\/td><\/tr><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"250\" height=\"49\" class=\"wp-image-2961\" style=\"width: 250px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-26.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-26.png 332w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-26-300x59.png 300w\" sizes=\"(max-width: 250px) 100vw, 250px\" \/><\/td><td><img loading=\"lazy\" decoding=\"async\" width=\"50\" height=\"50\" class=\"wp-image-2915\" style=\"width: 50px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280.png 1280w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-300x300.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-1024x1024.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-150x150.png 150w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-768x768.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-180x180.png 180w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-400x400.png 400w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-600x600.png 600w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/x-g5f6558db8_1280-800x800.png 800w\" sizes=\"(max-width: 50px) 100vw, 50px\" \/><\/td><td>Contains a variable with an exponent.<\/td><\/tr><tr><td><img loading=\"lazy\" decoding=\"async\" width=\"150\" height=\"66\" class=\"wp-image-2997\" style=\"width: 150px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-59.png\" alt=\"\"><\/td><td><img decoding=\"async\" width=\"50\" height=\"49\" class=\"wp-image-2916\" style=\"width: 50px;\" src=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280.png\" alt=\"\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280.png 1280w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-300x294.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-1024x1005.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-150x150.png 150w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-768x754.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-180x180.png 180w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-400x400.png 400w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-600x600.png 600w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/check-mark-gd9947ecf6_1280-800x785.png 800w\" sizes=\"(max-width: 50px) 100vw, 50px\" \/><\/td><td>Contains more than one variable and the variables don\u2019t have exponents. <\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n<h3 class=\"wp-block-heading\">How to Solve Linear Equations in Two Variables: 2 Methods<\/h3>\n\n\n\n<p>There are two main ways to solve linear equations in two variables:<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>Substitution<\/li><li>Elimination<\/li><\/ol>\n\n\n\n<p>Typically, both methods are <em>possible<\/em>, but usually only one is <em>optimal. <\/em> One method may be much quicker than the other.  That should be your goal: to quickly assess which method will get you to the answer more quickly.  It\u2019s important you understand how to use both methods, so you can choose the best one for the given question.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Substitution Method<\/h3>\n\n\n\n<p>The process for using substitution to solve linear equations is 4 basic steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>Identify an equation to start with. (You choose which equation)<\/li><li>Solve the chosen equation for one of the variables. (You choose which variable)<\/li><li>Plug in to your second equation to find variable #1.<\/li><li>Plug variable #1 in to either equation to solve for variable #2.<\/li><\/ol>\n\n\n\n<p>It\u2019ll make more sense as we walk through an example.<\/p>\n\n\n\n<p> <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 6:<\/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\/11\/linear-equations-for-sat-27.png\" alt=\"\" class=\"wp-image-2963\" width=\"153\" height=\"99\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-27.png 390w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-27-300x195.png 300w\" sizes=\"(max-width: 153px) 100vw, 153px\" \/><\/figure><\/div>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>Identify an equation to start with.<\/li><\/ol>\n\n\n\n<p>You can choose whichever equation you\u2019d like.  You\u2019ll get the same results either way, but the goal is to make this as easy as possible, so I\u2019m going to choose the first equation.  I notice that the first equation has a variable, x, that doesn\u2019t have a coefficient, so this will make it very easy to work with<\/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\/11\/linear-equations-for-sat-38.png\" alt=\"\" class=\"wp-image-2964\" width=\"170\" height=\"43\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-38.png 390w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-38-300x76.png 300w\" sizes=\"(max-width: 170px) 100vw, 170px\" \/><\/figure><\/div>\n\n\n\n<p>2. Solve the chosen equation for one of the variables. (You choose which variable)<\/p>\n\n\n\n<p>I could solve for y here, but it would be a little messier since I would have to do division.  Because the x doesn\u2019t have any coefficient, it\u2019ll be easier to solve for x.<\/p>\n\n\n\n<p>Subtract <strong>4y<\/strong> from both sides.<\/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\/11\/linear-equations-for-sat-28.png\" alt=\"\" class=\"wp-image-2965\" width=\"156\" height=\"51\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-28.png 346w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-28-300x98.png 300w\" sizes=\"(max-width: 156px) 100vw, 156px\" \/><\/figure><\/div>\n\n\n\n<p>3. Plug in to your second equation to find variable #1. <\/p>\n\n\n\n<p>Now, we can plug in <strong>16 -4y<\/strong> wherever we see x in our 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\/11\/linear-equations-for-sat-40.png\" alt=\"\" class=\"wp-image-2966\" width=\"226\" height=\"100\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-40.png 553w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-40-300x133.png 300w\" sizes=\"(max-width: 226px) 100vw, 226px\" \/><\/figure><\/div>\n\n\n\n<p>Multiply out the left 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\/11\/linear-equations-for-sat-30.png\" alt=\"\" class=\"wp-image-2967\" width=\"221\" height=\"65\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-30.png 545w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-30-300x89.png 300w\" sizes=\"(max-width: 221px) 100vw, 221px\" \/><\/figure><\/div>\n\n\n\n<p>We\u2019re working with a single variable linear equation now, so use the methods I shared in the single variable linear equation section to isolate the variable y.<\/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\/11\/linear-equations-for-sat-31.png\" alt=\"\" class=\"wp-image-2968\" width=\"129\" height=\"97\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-31.png 353w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-31-300x225.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-31-180x135.png 180w\" sizes=\"(max-width: 129px) 100vw, 129px\" \/><\/figure><\/div>\n\n\n\n<p>4. Plug variable #1 in to either equation to solve for variable #2.<\/p>\n\n\n\n<p>You can plug <strong>y= 2<\/strong> into either equation to solve for x. Focus on choosing the one that will be quicker. In this case, I think it\u2019ll be quicker to plug into 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\/11\/linear-equations-for-sat-32.png\" alt=\"\" class=\"wp-image-2969\" width=\"189\" height=\"172\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-32.png 454w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-32-300x273.png 300w\" sizes=\"(max-width: 189px) 100vw, 189px\" \/><\/figure><\/div>\n\n\n\n<h3 class=\"wp-block-heading\">Elimination Method<\/h3>\n\n\n\n<p>Sometimes elimination will be the quicker path to solve a system of linear equations. As you do more practice, you\u2019ll start to see patterns that will help you make the decision.<\/p>\n\n\n\n<p>The process for using elimination is three steps:<\/p>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>Choose a variable to eliminate. Perform any multiplication or division needed.<\/li><li>Add or subtract the equations to remove one of the variables and solve for the other variable.<\/li><li>Plug in to solve for the remaining variable.<\/li><\/ol>\n\n\n\n<p>Let\u2019s walk through an example.<\/p>\n\n\n\n<p>  <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 7:<\/span><\/strong>  <\/p>\n\n\n\n<p>Solve for x and y.<\/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\/11\/linear-equations-for-sat-33.png\" alt=\"\" class=\"wp-image-2970\" width=\"160\" height=\"104\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-33.png 379w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-33-300x195.png 300w\" sizes=\"(max-width: 160px) 100vw, 160px\" \/><\/figure><\/div>\n\n\n\n<ol class=\"wp-block-list\" type=\"1\"><li>Choose a variable to eliminate. Perform any multiplication or division needed.<\/li><\/ol>\n\n\n\n<p>The trick here is to identify the variable that will be <em>easy <\/em>to eliminate. To eliminate a variable, we need the coefficients to be opposite. For example, -4a and 4a would cancel out. Or 3x and -3x would also work.<\/p>\n\n\n\n<p><br>When I look at this system of equations, I notice that the x variables are already opposite in sign. The first equation has a positive x and the second has a negative x. So, it\u2019d be pretty simple for me to multiply the first equation by 2 to get a pair that would cancel out (be eliminated) in my next step.<\/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 Tutor.<\/a> <\/strong><\/h4>\n\n\n\n<p>Let\u2019s multiply the first equation by 2. Remember, what we do to one side, we must do to the other, so we\u2019re going to multiply the left and right side by 2.<\/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\/11\/linear-equations-for-sat-34.png\" alt=\"\" class=\"wp-image-2971\" width=\"194\" height=\"92\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-34.png 442w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-34-300x141.png 300w\" sizes=\"(max-width: 194px) 100vw, 194px\" \/><\/figure><\/div>\n\n\n\n<p>2. Add or subtract the equations to remove one of the variables and solve for the other variable.<\/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\/11\/linear-equations-for-sat-35.png\" alt=\"\" class=\"wp-image-2972\" width=\"176\" height=\"92\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-35.png 375w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-35-300x158.png 300w\" sizes=\"(max-width: 176px) 100vw, 176px\" \/><\/figure><\/div>\n\n\n\n<p>Because of what we did in step 1, we can now add these two equations together and our x variables will be eliminated.<\/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\/11\/linear-equations-for-sat-36.png\" alt=\"\" class=\"wp-image-2973\" width=\"132\" height=\"100\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-36.png 288w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-36-180x135.png 180w\" sizes=\"(max-width: 132px) 100vw, 132px\" \/><\/figure><\/div>\n\n\n\n<p>3. Plug in to solve for the remaining variable.<\/p>\n\n\n\n<p>We can choose either equation to plug in <strong>y=5.<\/strong>  Choose the one that will be quicker to solve. I\u2019ll use 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\/11\/linear-equations-for-sat-37-1.png\" alt=\"\" class=\"wp-image-2998\" width=\"170\" height=\"177\"\/><\/figure><\/div>\n\n\n\n<p>It\u2019s important to note here that this system of equations could have been solved with either elimination or substitution. Focus on asking yourself which method will be quicker, or which method will require less steps to get to the end solution. The more practice you do, the easier it will be to determine which method works better.<\/p>\n\n\n\n<p>Let\u2019s work through some practice questions.<\/p>\n\n\n\n<p><strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 8:<\/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\/11\/linear-equations-for-sat-39-1.png\" alt=\"\" class=\"wp-image-2999\" width=\"389\" height=\"82\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-39-1.png 571w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-39-1-300x64.png 300w\" sizes=\"(max-width: 389px) 100vw, 389px\" \/><\/figure><\/div>\n\n\n\n<p>We know this is a multi-variable linear equation because we have, you guessed it, multiple variables and none of our variables have exponents. We <em>must <\/em>have two distinct equations (which we do in this case) because we have two variables: x and y.<\/p>\n\n\n\n<p>First step is to determine if we should use elimination or substitution.<\/p>\n\n\n\n<p>In this case, substitution will be the better option because our first equation can quickly be solved for x. Then, we can plug it in to our second equation and solve for y.<\/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\/11\/linear-equations-for-sat-41-1.png\" alt=\"\" class=\"wp-image-3000\" width=\"137\" height=\"47\"\/><\/figure><\/div>\n\n\n\n<p>Divide both sides by 8.<\/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\/11\/linear-equations-for-sat-42-1.png\" alt=\"\" class=\"wp-image-3001\" width=\"109\" height=\"115\"\/><\/figure><\/div>\n\n\n\n<p>Plug in <strong>x=7<\/strong>&nbsp;to <strong>xy=21<\/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\/11\/linear-equations-for-sat-43-1.png\" alt=\"\" class=\"wp-image-3002\" width=\"148\" height=\"113\"\/><\/figure><\/div>\n\n\n\n<p>Try another practice question.<\/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\/11\/linear-equations-for-sat-44-1.png\" alt=\"\" class=\"wp-image-3003\" width=\"163\" height=\"130\"\/><\/figure><\/div>\n\n\n\n<p>Notice this question has 3 variables and 3 equations. Substitution is going to make the most sense, because, like Example 5, one equation only has one variable. We can start there and then move forward with substitution.<\/p>\n\n\n\n<p>Solve for z.<\/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\/11\/linear-equations-for-sat-45-1.png\" alt=\"\" class=\"wp-image-3004\" width=\"91\" height=\"76\"\/><\/figure><\/div>\n\n\n\n<p>Plug z into 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\/11\/linear-equations-for-sat-46-1.png\" alt=\"\" class=\"wp-image-3005\" width=\"152\" height=\"222\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-46-1.png 234w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-46-1-205x300.png 205w\" sizes=\"(max-width: 152px) 100vw, 152px\" \/><\/figure><\/div>\n\n\n\n<p>One more variable to solve for. Let\u2019s use the final equation to solve for x by plugging in <strong>y=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\/11\/linear-equations-for-sat-47.png\" alt=\"\" class=\"wp-image-2982\" width=\"169\" height=\"199\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-47.png 392w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-47-255x300.png 255w\" sizes=\"(max-width: 169px) 100vw, 169px\" \/><\/figure><\/div>\n\n\n\n<p>Nice work. Let\u2019s do one final practice question.<\/p>\n\n\n\n<p>  <strong><span class=\"has-inline-color has-vivid-cyan-blue-color\">Example 9:<\/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\/11\/linear-equations-for-sat-48.png\" alt=\"\" class=\"wp-image-2983\" width=\"209\" height=\"86\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-48.png 488w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-48-300x124.png 300w\" sizes=\"(max-width: 209px) 100vw, 209px\" \/><\/figure><\/div>\n\n\n\n<p>This is a great candidate for elimination. If we multiply the second equation by -3, we could eliminate 15x and -15x.<\/p>\n\n\n\n<p>Multiply the second equation by -3.<\/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\/11\/linear-equations-for-sat-49.png\" alt=\"\" class=\"wp-image-2984\" width=\"222\" height=\"116\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-49.png 544w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-49-300x157.png 300w\" sizes=\"(max-width: 222px) 100vw, 222px\" \/><\/figure><\/div>\n\n\n\n<p>Add the equations together, eliminating 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\/11\/linear-equations-for-sat-50.png\" alt=\"\" class=\"wp-image-2985\" width=\"199\" height=\"88\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-50.png 472w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-50-300x133.png 300w\" sizes=\"(max-width: 199px) 100vw, 199px\" \/><\/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\/11\/linear-equations-for-sat-51.png\" alt=\"\" class=\"wp-image-2986\" width=\"136\" height=\"89\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-51.png 312w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-51-300x197.png 300w\" sizes=\"(max-width: 136px) 100vw, 136px\" \/><\/figure><\/div>\n\n\n\n<p>Plug<strong> y=2<\/strong>&nbsp;into either equation to solve for x. I\u2019ll use 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\/11\/linear-equations-for-sat-52.png\" alt=\"\" class=\"wp-image-2987\" width=\"177\" height=\"156\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-52.png 488w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-52-300x264.png 300w\" sizes=\"(max-width: 177px) 100vw, 177px\" \/><\/figure><\/div>\n\n\n\n<p>Divide by 5, and we have our answer.<\/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\/11\/linear-equations-for-sat-19.png\" alt=\"\" class=\"wp-image-2935\" width=\"106\" height=\"105\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-19.png 461w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-19-300x297.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-19-150x150.png 150w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-19-180x180.png 180w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2021\/11\/linear-equations-for-sat-19-400x400.png 400w\" sizes=\"(max-width: 106px) 100vw, 106px\" \/><\/figure><\/div>\n\n\n\n<h2 class=\"wp-block-heading\">Final Thoughts <\/h2>\n\n\n\n<p>Solving linear equations is a must-know skill for the SAT Math section. Understanding how to identify  linear equations in both one and two variables is the first steps to success. From there, you should use the methods I\u2019ve laid out to solve.<\/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-8.png\" alt=\"\" class=\"wp-image-4072\" srcset=\"https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-8.png 1024w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-8-300x100.png 300w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-8-768x256.png 768w, https:\/\/www.testgeek.com\/blog\/wp-content\/uploads\/2022\/02\/200-Points-SAT-Banner-8-800x266.png 800w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><\/a><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>Remember when you realized that math wasn\u2019t just numbers? Suddenly letters were involved, too? It\u2019s at that point that you started to learn algebra. Depending on how long ago your memory is drifting back to, you might be rusty on this whole basic algebra thing. On the SAT Math section, there\u2019s a set of questions called The Heart of Algebra. Essentially, this is all about the fundamentals of algebra. And, at the very beginning of all algebra concepts is linear equations. Kickstart Your SAT Prep with Test Geek&#8217;s Free SAT Study Guide. What are Linear Equations? Linear equations make straight [&hellip;]<\/p>\n","protected":false},"author":2,"featured_media":3292,"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":[191,186,190,187],"tags":[21,171,20,173,172,174,175],"class_list":["post-2878","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-act","category-act-math","category-sat","category-sat-math","tag-free-sat","tag-linear-equations","tag-sat","tag-sat-help","tag-sat-math","tag-sat-prep","tag-sat-tutoring"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.8.1 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>How to Solve Linear Equations on the SAT - 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\/how-to-solve-linear-equations-on-the-sat\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"How to Solve Linear Equations on the SAT - Test Geek Blog\" \/>\n<meta property=\"og:description\" content=\"Remember when you realized that math wasn\u2019t just numbers? Suddenly letters were involved, too? It\u2019s at that point that you started to learn algebra. Depending on how long ago your memory is drifting back to, you might be rusty on this whole basic algebra thing. On the SAT Math section, there\u2019s a set of questions called The Heart of Algebra. Essentially, this is all about the fundamentals of algebra. And, at the very beginning of all algebra concepts is linear equations. Kickstart Your SAT Prep with Test Geek&#8217;s Free SAT Study Guide. What are Linear Equations? 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