{"id":1489,"date":"2023-08-11T14:29:00","date_gmt":"2023-08-11T14:29:00","guid":{"rendered":"http:\/\/www.kaptest.com\/blog\/prep\/?p=1489"},"modified":"2023-08-29T14:53:12","modified_gmt":"2023-08-29T14:53:12","slug":"psat-math-strategies-and-linear-equations","status":"publish","type":"post","link":"https:\/\/wpapp.kaptest.com\/study\/psat\/psat-math-strategies-and-linear-equations\/","title":{"rendered":"PSAT Math Strategies and Linear Equations"},"content":{"rendered":"<p>Because the PSAT is a standardized test, students who approach each question in a consistent way will be rewarded on Test Day. Applying the same basic steps to every PSAT math question\u2014whether it asks you about geometry, algebra, or even trigonometry\u2014will help you avoid minor mistakes as well as tempting wrong answer choices.<\/p>\n<div  style='height:10px' class='hr hr-invisible   avia-builder-el-0  el_before_av_heading  avia-builder-el-first '><span class='hr-inner ' ><span class='hr-inner-style'><\/span><\/span><\/div>\n<p><div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h3    avia-builder-el-1  el_after_av_hr  el_before_av_promobox  '><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >The Kaplan Method for PSAT Math<\/h3><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nUse the Kaplan Method for Math for every math question on the PSAT. Its steps are applicable to every situation and reflect the best test-taking practices.<br \/>\nThe Kaplan Method for Math has three steps:<\/p>\n<p style=\"padding-left: 60px;\">Step 1: Read the question, identifying and organizing important information as you go<\/p>\n<p style=\"padding-left: 60px;\">Step 2: Choose the best strategy to answer the question<\/p>\n<p style=\"padding-left: 60px;\">Step 3: Check that you answered the <i>right<\/i> question<\/p>\n<p>Let\u2019s examine each of these steps in more detail.<\/p>\n<h4><span style=\"color: #ab0c78;\">Step #1<\/span><\/h4>\n<h3>Read the Question, Identifying and Organizing Important Information<\/h3>\n<p>This means:<\/p>\n<ul>\n<li><strong>What information am I given?<em>\u00a0<\/em><\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">Take a few seconds to jot down the information you are given and try to group similar items together.<\/p>\n<ul>\n<li><strong>Separate the question from the context.<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">Word problems may include information that is unnecessary to solve the question. Feel free to discard any unnecessary information.<\/p>\n<ul>\n<li><strong>How are the answer choices different?<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">Reading answer choices carefully can help you spot the most efficient way to solve a multiple-choice math question. If the answer choices are decimals, then painstakingly rewriting your final answer as a simplified fraction is a waste of time; you can just use your calculator instead.<\/p>\n<ul>\n<li>S<strong>hould I label or draw a diagram?<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">If the question describes a shape or figure but doesn\u2019t provide one, sketch a diagram so you can see the shape or figure and add notes to it. If a figure is provided, take a few seconds to label it with information from the question.<\/p>\n\t<div  style='background:#240f6e;color:#ffffff;border-color:#240f6e;' class='av_promobox  avia-button-no   avia-builder-el-2  el_after_av_heading  el_before_av_promobox  rounded-corner-effect'>\t\t<div class='avia-promocontent'><p><span style=\"color: #ffffff;\">Expert Tip<\/span><\/p>\n<p>Don\u2019t assume you understand a question as soon as you see it. Many students see an equation and immediately begin solving. Solving math questions without carefully reading can take you down the wrong path on Test Day.<\/p>\n<\/div><\/div>\n<h4><span style=\"color: #ab0c78;\">Step #2<\/span><\/h4>\n<h3>Choose the Best Strategy to Answer the Question<\/h3>\n<ul>\n<li><strong>Look for patterns.<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">Every PSAT math question can be solved in a variety of ways, but not all strategies are created equally.\u00a0To finish all of the questions, you\u2019ll need to solve questions as <i>efficiently<\/i> as possible. If you find yourself about to do time-consuming math, take a moment to look for time-saving shortcuts.<\/p>\n<ul>\n<li><strong>Pick numbers or use straightforward math.<\/strong><\/li>\n<\/ul>\n<p style=\"padding-left: 40px;\">While you can always solve a PSAT math question with what you\u2019ve learned in school, doing so won\u2019t always be the fastest way. On questions that describe relationships between numbers (such as percentages) but don\u2019t actually use numbers, you can often save time on Test Day by using techniques such as\u00a0Picking Numbers instead of straightforward math.<\/p>\n\t<div  style='background:#240f6e;color:#ffffff;border-color:#240f6e;' class='av_promobox  avia-button-no   avia-builder-el-3  el_after_av_promobox  el_before_av_heading  rounded-corner-effect'>\t\t<div class='avia-promocontent'><p><span style=\"color: #ffffff;\">Expert Tip<\/span><\/p>\n<p>The PSAT won\u2019t give you any extra points for solving a question the hard way.<\/p>\n<\/div><\/div>\n<h4><span style=\"color: #ab0c78;\">Step #3<\/span><\/h4>\n<h3>Check That You Answered the Right Question<\/h3>\n<p>When you get the final answer, resist the urge to immediately select in the answer. Take a moment to:<\/p>\n<ul>\n<li><strong>Review the question stem<\/strong><\/li>\n<li><strong>Check units of measurement<\/strong><\/li>\n<li><strong>Double-check your work<\/strong><\/li>\n<\/ul>\n<p>The PSAT will often ask you for quantities such as\u00a0<em>x<\/em> + 1 or the product of <i>x<\/i> and <i>y.<\/i> Be careful on these questions! They often include tempting answer choices that correspond to the values of <i>x<\/i> or <i>y<\/i> individually. There\u2019s no partial credit on the PSAT, so take a moment at the end of every question to make sure you\u2019re answering the right question.<\/p>\n<p><div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h3    avia-builder-el-4  el_after_av_promobox  el_before_av_image  '><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >Linear Equations on the PSAT<\/h3><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nLinear equations and linear graphs are some of the most common elements on the PSAT Math Test. They can be used to model relationships and changes such as\u00a0those concerning time, temperature, or population.<\/p>\n<p>The graphs of these equations are as important as the equations themselves. The graphs you will see most are either linear or lines of best fit.<\/p>\n<p>A sample graph is shown:<\/p>\n<p><div  class='avia-image-container avia_animated_image avia_animate_when_almost_visible top-to-bottom av-styling-    avia-builder-el-5  el_after_av_heading  el_before_av_heading  avia-align-center '  itemprop=\"image\" itemscope=\"itemscope\" itemtype=\"https:\/\/schema.org\/ImageObject\"  ><div class='avia-image-container-inner'><div class='avia-image-overlay-wrap'><img class='wp-image-0 avia-img-lazy-loading-not-0 avia_image' src=\"https:\/\/www.kaptest.com\/blog\/prep\/wp-content\/uploads\/sites\/21\/2016\/08\/psat_c02_cb_01-296x300.png\" alt='' title=''   itemprop=\"thumbnailUrl\"  \/><\/div><\/div><\/div><br \/>\nWhen working with a graph like this, you may not know anything about magnetization or cobalt ferrite, but you do see a graph with a straight line on it. That straight line is your clue that you\u2019re dealing with a linear equation.<\/p>\n<p>Being able to work with, understand, and interpret linear equations will make up a substantial part of your Math score. With practice, you\u2019ll be ready to tackle linear equations in whatever form you encounter them on the test.<br \/>\n<div  style='padding-bottom:10px; ' class='av-special-heading av-special-heading-h3    avia-builder-el-6  el_after_av_image  el_before_av_promobox  '><h3 class='av-special-heading-tag '  itemprop=\"headline\"  >PSAT Math Practice Question: Linear Equations<\/h3><div class='special-heading-border'><div class='special-heading-inner-border' ><\/div><\/div><\/div><br \/>\nMany students inadvertently switch on \u201cmath autopilot\u201d when solving linear equations, automatically running through the same set of steps on every equation without looking for the best way to solve the question.<\/p>\n<p>On the PSAT, however, every second counts. You will want to use the <i>most<\/i> efficient strategy for solving questions. To see this in action, take a look at the following example:<\/p>\n\t<div  style='background:#ffffff;color:#333333;border-color:#cdcdcd;' class='av_promobox  avia-button-no   avia-builder-el-7  el_after_av_heading  el_before_av_hr '>\t\t<div class='avia-promocontent'><\/p>\n<p>1. 1\/2 (3<em>x<\/em> + 17) = 1\/6 (8<em>x<\/em> &#8211; 10)<\/p>\n<p>Which value of <em>x<\/em> satisfies the equation above?<\/p>\n<p>A) -61<\/p>\n<p>B) -55<\/p>\n<p>C) -41<\/p>\n<p>D) -35<\/p>\n<p>\n<\/div><\/div>\n<div  style='height:10px' class='hr hr-invisible   avia-builder-el-8  el_after_av_promobox  avia-builder-el-last '><span class='hr-inner ' ><span class='hr-inner-style'><\/span><\/span><\/div>\n<p>The following shows Kaplan&#8217;s strategic thinking, along with suggested math scratchwork. Keeping your notes organized is critical for success on the PSAT, so start practicing now setting up well-organized sratchwork.<\/p>\n<p><strong>Step 1: Read the question, identifying and organizing important information as you go.<\/strong><\/p>\n<p>This question is straightforward: You&#8217;re being asked to solve the equation and find the correct value of <em>x<\/em>.<\/p>\n<p style=\"text-align: center;\">1\/2 (3<em>x<\/em> + 17) = 1\/6 (8<em>x<\/em> -10)<\/p>\n<p><strong>Step 2: Choose the best strategy to answer the question.<\/strong><\/p>\n<p>Should you distribute those fractions first, or is there a faster way to solve?<\/p>\n<p>By multiplying both sides of the equation by 6, you make the equation much simpler. Finish by using the distributive property, collecting like terms, and solving for x.<\/p>\n<p style=\"text-align: center;\">6 [ 1\/2 (3<em>x<\/em> + 17) = 1\/6 (8<em>x<\/em> &#8211; 10) ]<\/p>\n<p style=\"text-align: center;\">3(3<em>x<\/em> +17) = 8<em>x<\/em> &#8211; 10<\/p>\n<p style=\"text-align: center;\">9<em>x<\/em> + 51 = 8<em>x<\/em> &#8211; 10<\/p>\n<p style=\"text-align: center;\">x<em> = <\/em>-61<\/p>\n<p><strong>Step 3:<\/strong><strong> Check that you answered the\u00a0<em>right<\/em> question<\/strong>.<\/p>\n<p>You found the value of x, and it matches (A)<\/p>\n<p style=\"text-align: center;\"><em>x = <\/em>-61<\/p>\n<p>You could have approached a question like this in many ways, but remember, the goal is to get the correct answer quickly. The faster you solve algebraic equations, the more time you\u2019ll be able to devote to challenging questions, setting you up to earn more points on Test Day.<\/p>\n<p><strong>&lt; Previous:<\/strong> <a title=\"PSAT Math Prep Lessons\" href=\"https:\/\/www.kaptest.com\/blog\/prep\/psat\/psat-math-prep-lessons\/\">Math Lessons Home<\/a><\/p>\n<p><strong>Next:<\/strong> <a title=\"PSAT Math Practice Questions: Linear Equations\" href=\"https:\/\/www.kaptest.com\/blog\/prep\/psat\/psat-math-practice-questions-linear-equations\/\">PSAT Math Practice: Linear Equations<\/a><strong> &gt;<\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Because the PSAT is a standardized test, students who approach each question in a consistent way will be rewarded on Test Day. Applying the same basic steps to every PSAT math question\u2014whether it asks you about geometry, algebra, or even trigonometry\u2014will help you avoid minor mistakes as well as tempting wrong answer choices. Use the [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":39091,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[240],"tags":[195,312],"_links":{"self":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/1489"}],"collection":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/comments?post=1489"}],"version-history":[{"count":28,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/1489\/revisions"}],"predecessor-version":[{"id":44107,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/posts\/1489\/revisions\/44107"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media\/39091"}],"wp:attachment":[{"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/media?parent=1489"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/categories?post=1489"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/wpapp.kaptest.com\/study\/wp-json\/wp\/v2\/tags?post=1489"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}