{"id":40130,"date":"2018-04-16T13:29:58","date_gmt":"2018-04-16T13:29:58","guid":{"rendered":"https:\/\/www.mometrix.com\/academy\/?page_id=40130"},"modified":"2026-05-07T11:57:11","modified_gmt":"2026-05-07T16:57:11","slug":"psat-practice-test","status":"publish","type":"page","link":"https:\/\/www.mometrix.com\/academy\/psat-practice-test\/","title":{"rendered":"PSAT<sup>&reg;<\/sup> Practice Test"},"content":{"rendered":"<p><meta name=\"viewport\" content=\"width=device-width, initial-scale=1\"><br \/>\nEvery year, thousands of high school students across the country prepare for the SAT<sup>&reg;<\/sup>. But before they take the SAT, many students take other related assessments, including the Preliminary SAT\/National Merit Scholarship Qualifying Test (PSAT\/NMSQT<sup>&reg;<\/sup>).<\/p>\n<p>Click the \u201cStart Test\u201d above to begin your free PSAT practice test! These practice questions will give you a better idea of what to study for your exam.<\/p>\n<div class=\"buttonlinks\">\n<a href=\"https:\/\/www.mometrix.com\/university\/psat\/?utm_source=academy&amp;utm_medium=button&amp;utm_campaign=academy-mu-ads&amp;utm_content=psat-test\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Course Button', 'Course Click', 'PSAT Course Click']);\">PSAT Online Course<\/a><br \/>\n<a href=\"https:\/\/click.mometrix.com\/psat-guide-amzn\">PSAT Study Guide<\/a><br \/>\n<a href=\"https:\/\/www.flashcardsecrets.com\/psat\/\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Flashcard Button', 'Flashcard Button Click', 'PSAT Flashcard Click']);\">PSAT Flashcards<\/a>\n<\/div>\n<h2 class=\"pt-page\"><span id=\"PSAT\/NMSQT_Practice_Tests_by_Subject\" class=\"m-toc-anchor\"><\/span>PSAT\/NMSQT Practice Tests by Subject<\/h2>\n<p>If you need some extra practice in a specific subject, click one of the subjects below to get started on a subject-specific PSAT\/NMSQT practice test.<\/p>\n<div class=\"pt-buttons\">\n<p><a class=\"pt-links\" title=\"PSAT\/NMSQT Reading Practice Test\" href=\"https:\/\/www.mometrix.com\/academy\/psat-reading-practice-test\/\"><span class=\"pt-circle psat-reading-pt\"> PSAT\/NMSQT Reading Practice Test <\/span><\/a> <a class=\"pt-links\" title=\"PSAT\/NMSQT Writing Practice Test\" href=\"https:\/\/www.mometrix.com\/academy\/psat-writing-practice-test\/\"><span class=\"pt-circle psat-writing-pt\"> PSAT\/NMSQT Writing Practice Test <\/span><\/a><\/p>\n<p><a class=\"pt-links\" href=\"https:\/\/www.mometrix.com\/academy\/psat-math-practice-test\/\"><span class=\"pt-circle psat-math-pt\" title=\"PSAT\/NMSQT Math Practice Test\"> PSAT\/NMSQT Math Practice Test <\/span><\/a><\/p>\n<\/div>\n<h2 class=\"pt-page\"><span id=\"Exam_Outline\" class=\"m-toc-anchor\"><\/span> Exam Outline<\/h2>\n<p>The PSAT\/NMSQT contains a total of 98 questions\/tasks and has a time limit of 134 minutes (2 hours and 14 minutes).<\/p>\n<p>Here&#8217;s a quick look at what&#8217;s on the test:<\/p>\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/11\/PSAT-exam-outline.png\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-208081\" role=\"img\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2023\/11\/PSAT-exam-outline.svg\" alt=\"exam outline for the PSAT exam\" width=\"443\" height=\"477\" \/><\/a><\/p>\n\n\t\t\t<div class=\"sg-box\">\n\t\t\t\t<div class=\"sg-box-text\">\n\t\t\t\t\t<p class=\"sg-box-title\">Check Out Mometrix's PSAT Study Guide<\/p>\n\t\t\t\t\t<p>Get practice questions, video tutorials, and detailed study lessons<\/p>\n\t\t\t\t\t<a class=\"sg-box-button\" href=\"https:\/\/www.mometrix.com\/academy\/psat-study-guide\/\" target=\"_blank\" rel=\"noopener\">Get Your Study Guide<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t<a href=\"https:\/\/www.mometrix.com\/academy\/psat-study-guide\/\">\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"184\" height=\"238\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/09\/psat-26646.jpg\" alt=\" Study Guide\">\n\t\t\t\t<\/a>\n\t\t\t<\/div>\n<h2 class=\"pt-page\"><span id=\"How_to_Pass\" class=\"m-toc-anchor\"><\/span>How to Pass<\/h2>\n<p>Though the PSAT is often considered to be a practice run for the SAT, scoring high enough on the PSAT can qualify you for the National Merit Scholarship Program. Some of these scholarships include full college tuition. Because of the potential reward of scoring well on the PSAT, you want to be adequately prepared for this important exam. Using quality study materials is crucial.<\/p>\n<p>It is also helpful to verify your readiness for the test by taking PSAT practice tests. You don\u2019t have to spend a lot of money on quality PSAT study materials, they are available for free, from Mometrix Academy. The links above give you access to practice test study guides that cover all the subjects included on the PSAT: Reading, Writing, and Math.<\/p>\n<p>There are also links to free practice tests. The PSAT practice tests will assess your knowledge and indicate how prepared you are for the actual PSAT test. A practice test will also pinpoint which subject areas need further study and understanding. You may want to consider taking a PSAT practice test for the first time and designate next to each question which of the subsequent statements is true.<\/p>\n<ul>\n<li>I confidently knew the correct answer<\/li>\n<li>I chose the correct answer but was unsure of my choice<\/li>\n<li>I had no idea which option was the correct answer<\/li>\n<\/ul>\n<p>Approaching the practice test in this way will help you determine strengths and weaknesses so that you can allocate your study time appropriately. The questions that you confidently answered correctly won\u2019t require much study, but you may want to briefly review this material anyway to verify that you have a thorough understanding of why that was the correct answer. The questions that you answered correctly but were not confident about will need a little more time and focus. Of course, the majority of your study time will be focused on the last set of questions of which you had no idea as to the correct answer. Don\u2019t be disheartened about these questions! Mometrix has all you need to successfully prepare for the PSAT.<\/p>\n<h2 class=\"pt-page\"><span id=\"Top_5_Most_Challenging_PSAT_Questions\" class=\"m-toc-anchor\"><\/span>Top 5 Most Challenging PSAT Questions<\/h2>\n<p>Now that you know how to approach practice tests, try your hand at some targeted practice on your own!<\/p>\n<p>Over the last year, we&#8217;ve compiled the data from about 16,000 test-takers who tried their hand at the practice test at the top of this page. According to the data, around 85% of people answered these five questions incorrectly.<\/p>\n<p>Answer each question and read through the answer explanation, whether you got the answer right or wrong. This will help you ensure you&#8217;ve got the topic mastered.<\/p>\n<p>Whether you struggled with these questions or aced them on your first try, be sure to take the <a class=\"ylist\" href=\"https:\/\/academy-pq.app.mometrix.com\/practicequestion\/products\/PSAT\" target=\"_blank\">full practice test<\/a> to get a better idea of how prepared you really are!<\/p>\n<div style=\"margin-bottom: 1.5em; margin-top: 2em;\"><div id=\"q1\" class=\"psat-question-container\" data-attempts=\"0\">\r\n<p class=\"psat-question-text\">1. The half-life of caffeine in the human body is 5 hours. If Rafe drinks a cup of coffee at 7:00 a.m., what percentage of the caffeine is still in his system at 2:00 p.m.? Round your answer to the nearest whole percent.<\/p>\r\n    <input type=\"text\" id=\"text1\" class=\"psat-text-input\" placeholder=\"Type answer\">\r\n<button class=\"psat-submit-btn\" onclick=\"checkTextAnswer1(1)\">Submit<\/button><br>\r\n<div class=\"psat-feedback-text\" id=\"feedback1\"><\/div>\r\n<div id=\"explanation1\" class=\"psat-explanation-text\">\r\n\r\n<p>We start with the formula <math><mi>y<\/mi><mo>(<\/mo><mi>t<\/mi><mo>)<\/mo><mo>=<\/mo><mi>a<\/mi><msup><mi>e<\/mi><mrow><mi>k<\/mi><mi>t<\/mi><\/mrow><\/msup><\/math> where <math><mi>a<\/mi><\/math> is the starting amount and <math><mi>t<\/mi><\/math> is the time in hours. Since the half-life is 5, we can write <math><mn>0.5<\/mn><mo>=<\/mo><mn>1<\/mn><msup><mi>e<\/mi><mrow><mi>k<\/mi><mo>&#x2062;<\/mo><mn>5<\/mn><\/mrow><\/msup><\/math>. We then solve by taking the natural logarithm of each side:<\/p>\r\n\r\n<p>\r\n<math>\r\n<mi>ln<\/mi><mo>(<\/mo><mn>0.5<\/mn><mo>)<\/mo><mo>=<\/mo><mi>ln<\/mi><mo>(<\/mo><msup><mi>e<\/mi><mrow><mn>5<\/mn><mi>k<\/mi><\/mrow><\/msup><mo>)<\/mo>\r\n<\/math><br\/>\r\n<math>\r\n<mi>ln<\/mi><mo>(<\/mo><mn>0.5<\/mn><mo>)<\/mo><mo>=<\/mo><mn>5<\/mn><mi>k<\/mi>\r\n<\/math><br\/>\r\n<math>\r\n<mi>k<\/mi><mo>=<\/mo><mfrac><mrow><mi>ln<\/mi><mo>(<\/mo><mn>0.5<\/mn><mo>)<\/mo><\/mrow><mn>5<\/mn><\/mfrac>\r\n<\/math>\r\n<\/p>\r\n\r\n<p>At 2:00 p.m., it has been 7 hours since Rafe drank the cup of coffee, so we can put that into the equation:<\/p>\r\n\r\n<p>\r\n<math>\r\n<mi>y<\/mi><mo>(<\/mo><mn>7<\/mn><mo>)<\/mo><mo>=<\/mo><mn>1<\/mn><msup><mi>e<\/mi><mrow><mi>k<\/mi><mo>&#x2062;<\/mo><mn>7<\/mn><\/mrow><\/msup><mo>&#x2248;<\/mo><mn>0.379<\/mn>\r\n<\/math>\r\n<\/p>\r\n\r\n<p>This translates to 37.9%, or approximately 38%.<\/p>\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=PSAT&prefill_Question+Number=1&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20PSAT%20-%201&hide_Test=true&hide_Which+Form=true&hide_UP-ID=true&hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\r\n<\/div><\/div>\n<div style=\"margin-bottom: 1.5em;\"><div id=\"q2\" class=\"psat-question-container\" data-attempts=\"0\">\r\n<p class=\"psat-question-text\">2. In triangle ABC below, side\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow><mi>A<\/mi><mi>B<\/mi><mo>=<\/mo><mn>4<\/mn><mi>x<\/mi><\/mrow><\/math>\r\nand side\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow><mi>B<\/mi><mi>C<\/mi><mo>=<\/mo><mn>6<\/mn><mi>x<\/mi><mo>\u2212<\/mo><mn>2<\/mn><msqrt><mn>2<\/mn><\/msqrt><\/mrow><\/math>.\r\nWhat is the length of\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow><mi>A<\/mi><mi>C<\/mi><\/mrow><\/math>?<\/p>\r\n<img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/05\/Triangle-with-measurements.svg\" alt=\"\" width=\"409.8\" height=\"195\" class=\"aligncenter size-full wp-image-258040\"  role=\"img\" style=\"margin-bottom: 1em;\" \/>\r\n    <input type=\"text\" id=\"text2\" class=\"psat-text-input\" placeholder=\"Type answer\">\r\n<button class=\"psat-submit-btn\" onclick=\"checkTextAnswer2(2)\">Submit<\/button><br>\r\n<div class=\"psat-feedback-text\" id=\"feedback2\"><\/div>\r\n<div id=\"explanation2\" class=\"psat-explanation-text\">\r\n\r\nSince angles A and C are each 45\u00b0, we know that angle B must be 90\u00b0\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow><mn>180<\/mn><mo>\u2212<\/mo><mn>45<\/mn><mo>\u2212<\/mo><mn>45<\/mn><mo>=<\/mo><mn>90<\/mn><\/mrow><\/math>.\r\n\r\nSo, this is a 45-45-90 special triangle. The short legs are equal to each other, and the length of the hypotenuse is the length of a short leg times\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msqrt><mn>2<\/mn><\/msqrt><\/math>.\r\n\r\nTo find the short legs, set AB and BC equal to each other:\r\n<p style=\"text-align: center; margin-top: 1em\"> <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow><mn>4<\/mn><mi>x<\/mi><mo>=<\/mo><mn>6<\/mn><mi>x<\/mi><mo>\u2212<\/mo><mn>2<\/mn><msqrt><mn>2<\/mn><\/msqrt><\/mrow><\/math> <\/p>\r\n\r\nSubtract\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>6<\/mn><mi>x<\/mi><\/math>\r\nfrom both sides:\r\n<p style=\"text-align: center; margin-top: 1em\"> <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow><mo>\u2212<\/mo><mn>2<\/mn><mi>x<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mn>2<\/mn><msqrt><mn>2<\/mn><\/msqrt><\/mrow><\/math> <\/p>\r\n\r\nFinally, divide each side by\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u2212<\/mo><mn>2<\/mn><\/math>:\r\n<p style=\"text-align: center; margin-top: 1em\"> <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow><mi>x<\/mi><mo>=<\/mo><msqrt><mn>2<\/mn><\/msqrt><\/mrow><\/math> <\/p>\r\n\r\nWe can plug this value into the equation for either leg to find that\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>AB<\/mi><mo>=<\/mo><mn>4<\/mn><msqrt><mn>2<\/mn><\/msqrt><\/math>.\r\n\r\nTo find AC, we multiply this by\r\n<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msqrt><mn>2<\/mn><\/msqrt><\/math>:\r\n<p style=\"text-align: center;\"> <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mrow><mn>4<\/mn><msqrt><mn>2<\/mn><\/msqrt><mo>&#x00D7;<\/mo><msqrt><mn>2<\/mn><\/msqrt><mo>=<\/mo><mn>4<\/mn><mo>(<\/mo><mn>2<\/mn><mo>)<\/mo><mo>=<\/mo><mn>8<\/mn><\/mrow><\/math> <\/p>\r\n\r\nTherefore, the length of AC is 8.\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=PSAT&prefill_Question+Number=2&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20PSAT%20-%201&hide_Test=true&hide_Which+Form=true&hide_UP-ID=true&hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\r\n<\/div><\/div>\n<div style=\"margin-bottom: 1.5em;\"><div class=\"psat-question-container\">\r\n    <p class=\"psat-question-text\">3. Which choice completes the text below with the most logical transition?<\/p>\r\n<p class=\"psat-question-text\" style=\"border-left: 3px solid #FFCC00; padding-left: 10px; margin-left: 10px; font-weight: 600; font-size: 95%;\">Florence stood as a shining star in the Italian Renaissance from the 14th century to the 17th century. Thinkers like Leonardo da Vinci, Michelangelo, and Galileo Galilei found a home here, and their groundbreaking contributions became foundations of art and science. __________&nbsp;the Medici family, well-known supporters of the arts, nurtured an atmosphere where creativity flourished, backing works that would influence art, science, and human thought for years to come.\r\n<\/p>\r\n\r\n    <label class=\"psat-choice-label\"><input type=\"radio\" name=\"choice3\" value=\"A\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;Consequently, thanks to<\/label>\r\n    <label class=\"psat-choice-label\"><input type=\"radio\" name=\"choice3\" value=\"B\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;In contrast,<\/label>\r\n    <label class=\"psat-choice-label\"><input type=\"radio\" name=\"choice3\" value=\"C\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;For instance,<\/label>\r\n    <label class=\"psat-choice-label\"><input type=\"radio\" name=\"choice3\" value=\"D\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;Moreover,<\/label>\r\n    <button class=\"psat-submit-btn\" onclick=\"checkAnswer(3)\">Submit<\/button><br>\r\n    <div id=\"feedback3\" class=\"psat-feedback-text\"><\/div>\r\n    <div id=\"explanation3\" class=\"psat-explanation-text\">The correct answer is \u201cMoreover,\u201d because it indicates a continuation of the discussion about Florence, its great thinkers, and its significance during the Italian Renaissance. The passage discusses the influence of certain individuals on art and science, and the word moreover connects the Medici family to these other figures. Choice A would not be the best fit, as \u201cConsequently, thanks to\u201d implies a cause-and-effect relationship, which is not present in the sentence. Additionally, \u201cthanks to\u201d doesn\u2019t create a smooth transition in this context. Choice B is inappropriate because \u201cIn contrast\u201d introduces a comparison between contrasting ideas, which is not the purpose here. The focus of the passage is on the positive contributions of the Medici family and other important figures in Florence during the Italian Renaissance, and \u201cIn contrast\u201d would go against this. Choice C is not ideal, as \u201cFor instance\u201d is used when providing specific examples to support an idea, which is not relevant here.\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=PSAT&prefill_Question+Number=3&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20PSAT%20-%201&hide_Test=true&hide_Which+Form=true&hide_UP-ID=true&hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\r\n<\/div><\/div>\n<div style=\"margin-bottom: 1.5em;\"><div class=\"psat-question-container\">\r\n    <p class=\"psat-question-text\">4. Read the selections below before answering the question:<\/p>\r\n\r\n        <div class=\"psat-readpassagecontainer\">\r\n        <div class=\"psat-readButton\">\r\n            <img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/04\/Yellow-Book-2.svg\" alt=\"Closed Book Icon\" class=\"closed-book-icon\">\r\n            <img decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/04\/Yellow-Open-Book.svg\" alt=\"Open Book Icon\" class=\"open-book-icon hidden\">\r\n            <span>Read Passage<\/span>\r\n        <\/div>\r\n        <div class=\"psat-passageText\">\r\n<p style=\"text-align: center; font-weight: bold; margin-bottom: 0em\">Text 1<\/p>\r\n<p>Banning books on the basis of what is deemed appropriate by conservative individuals is an injustice to students. The contents of a library should not only reflect the population that the library serves, they should be more diverse. This exposes readers to the lived experiences of others, through which they may develop a sense of empathy and understanding. A diverse collection of books also allows for all patrons to see themselves reflected in the collection. Removing books that may be seen as controversial or inappropriate removes the validation and support that students need to flourish. Students should, instead, be taught the skills needed to think critically and to make appropriate book selections based on their own needs and desires. While parents have the right to decide what is appropriate for their own children, they do not reserve the right to decide for all.<\/p>\r\n<p style=\"text-align: center; font-weight: bold; margin-bottom: 0em\">Text 2<\/p>\r\n<p>As adults, it is our responsibility to protect children from inappropriate topics, graphic content, offensive language, sexual themes, and other unsavory content. Making this content inaccessible to children is the easiest way to protect them and allow them to remain innocent for as long as possible. Books should represent an ideal world of which our children may strive to be an integral part. Perverse topics will only lead children to believe the portrayed lifestyles are acceptable.<\/p>\r\n        <\/div>\r\n    <\/div>\r\n    <p class=\"psat-question-text\">Based on the texts, what would the author of the first text most likely say in response to the claims made by the author of the second text?<\/p>\r\n    \r\n    <label class=\"psat-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"A\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;A compromise may be made so that parents must approve of the books selected by their children.<\/label>\r\n    <label class=\"psat-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"B\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;Controversial books should not be made available to students until they have reached a designated age.<\/label>\r\n    <label class=\"psat-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"C\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;Books containing graphic or offensive material should be withheld from shelving but made available on request from individual students.<\/label>\r\n    <label class=\"psat-choice-label\" style=\"margin-bottom: 1em;\"><input type=\"radio\" name=\"choice4\" value=\"D\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;The ideal world that they wish their children to be part of excludes many individuals based on their differences. <\/label>\r\n    <button class=\"psat-submit-btn\" onclick=\"checkAnswer(4)\">Submit<\/button><br>\r\n    <div id=\"feedback4\" class=\"psat-feedback-text\"><\/div>\r\n    <div id=\"explanation4\" class=\"psat-explanation-text\">The author of the first text believes that diversity in books is a critical part of developing empathy for others, while the author of the second text believes that books should portray an \u201cideal world.\u201d Implying that controversial topics cannot be part of an ideal world implies that the individuals represented are not part of any ideal world, leading them to be excluded.\r\n\r\nChoice A is incorrect because the author of the first text has made it clear that he or she believes the ability to appropriately select a book must be developed by the child. Choice B is incorrect, as the author of the first text feels that book selection through critical thinking is a skill that is developed over time--not reached at a particular age. Choice C is also incorrect, as this would also remove individual student autonomy and the opportunity for children to use the aforementioned skills.\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=PSAT&prefill_Question+Number=4&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20PSAT%20-%201&hide_Test=true&hide_Which+Form=true&hide_UP-ID=true&hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\r\n<\/div>\r\n<\/div>\n<div style=\"margin-bottom: 3.5em;\"><div class=\"psat-question-container\">\r\n    <p class=\"psat-question-text\">5. Which of the following is the solution to the following inequality:\r\n<p class=\"psat-question-text\" style=\"border-left: 3px solid #FFCC00; padding-left: 10px; margin-left: 10px; font-weight: 600; font-size: 105%;\">\r\n<math>\r\n<mn>2<\/mn>\r\n<mo>|<\/mo>\r\n<mi>x<\/mi>\r\n<mo>+<\/mo>\r\n<mn>3<\/mn>\r\n<mo>|<\/mo>\r\n<mo>\u2212<\/mo>\r\n<mn>9<\/mn>\r\n<mo>\u2265<\/mo>\r\n<mo>\u2212<\/mo>\r\n<mn>1<\/mn>\r\n<\/math>\r\n<\/p>\r\n&nbsp;\r\n    <label class=\"psat-choice-label\"><input type=\"radio\" name=\"choice5\" value=\"A\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">A.<\/span>&nbsp;<p><math>\r\n<mo>\u2212<\/mo><mn>1<\/mn><mo>\u2264<\/mo><mi>x<\/mi><mo>\u2264<\/mo><mn>7<\/mn>\r\n<\/math><\/p>\r\n\r\n<\/label>\r\n    <label class=\"psat-choice-label\"><input type=\"radio\" name=\"choice5\" value=\"B\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">B. <\/span>&nbsp;<p><math>\r\n<mo>\u2212<\/mo><mn>7<\/mn><mo>\u2264<\/mo><mi>x<\/mi><mo>\u2264<\/mo><mn>1<\/mn>\r\n<\/math><\/p>\r\n\r\n<\/label>\r\n    <label class=\"psat-choice-label\"><input type=\"radio\" name=\"choice5\" value=\"C\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">C. <\/span>&nbsp;<p><math>\r\n<mi>x<\/mi><mo>\u2264<\/mo><mo>\u2212<\/mo><mn>1<\/mn><\/math> or <math>\r\n<mi>x<\/mi><mo>\u2265<\/mo><mn>7<\/mn>\r\n<\/math><\/p>\r\n\r\n<\/label>\r\n    <label class=\"psat-choice-label\"><input type=\"radio\" name=\"choice5\" value=\"D\" class=\"psat-choice-input\"> <span style=\"font-weight: 600;\">D. <\/span>&nbsp;<p><math>\r\n<mi>x<\/mi><mo>\u2264<\/mo><mo>\u2212<\/mo><mn>7<\/mn>\r\n<\/math> or\r\n<math>\r\n<mi>x<\/mi><mo>\u2265<\/mo><mn>1<\/mn>\r\n<\/math>\r\n<\/p>\r\n<\/label>\r\n    <button class=\"psat-submit-btn\" onclick=\"checkAnswer(5)\" style=\"margin-top: 0em\">Submit<\/button><br>\r\n    <div id=\"feedback5\" class=\"psat-feedback-text\"><\/div>\r\n    <div id=\"explanation5\" class=\"psat-explanation-text\">\r\n<p>Solve the inequality using inverse operations. Start by adding\u202f9 to both sides of the inequality.<\/p>\r\n\r\n<div style=\"text-align:center;\">\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\r\n    <mn>2<\/mn><mfenced open=\"|\" close=\"|\"><mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><\/mfenced>\r\n    <mo>&#x2212;<\/mo><mn>9<\/mn>\r\n    <mo>&#x2265;<\/mo><mo>&#x2212;<\/mo><mn>1<\/mn>\r\n  <\/math><br\/>\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\r\n    <mn>2<\/mn><mfenced open=\"|\" close=\"|\"><mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><\/mfenced>\r\n    <mo>&#x2265;<\/mo><mn>8<\/mn>\r\n  <\/math>\r\n<\/div>\r\n&nbsp;\r\n<p>Then, divide both sides by\u202f2.<\/p>\r\n\r\n<div style=\"text-align:center;\">\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\r\n    <mfenced open=\"|\" close=\"|\"><mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><\/mfenced>\r\n    <mo>&#x2265;<\/mo><mn>4<\/mn>\r\n  <\/math>\r\n<\/div>\r\n&nbsp;\r\n<p>From here, separate the inequality into two inequalities to remove the absolute value, and solve each inequality.<\/p>\r\n\r\n<div style=\"text-align:center;\">\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\r\n    <mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><mo>&#x2265;<\/mo><mn>4<\/mn>\r\n  <\/math><br\/>\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\r\n    <mi>x<\/mi><mo>&#x2265;<\/mo><mn>1<\/mn>\r\n  <\/math><br\/><br\/>\r\n&nbsp;\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\r\n    <mo>&#x2212;<\/mo><mfenced open=\"(\" close=\")\"><mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><\/mfenced>\r\n    <mo>&#x2265;<\/mo><mn>4<\/mn>\r\n  <\/math><br\/>\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\r\n    <mi>x<\/mi><mo>+<\/mo><mn>3<\/mn><mo>&#x2264;<\/mo><mo>&#x2212;<\/mo><mn>4<\/mn>\r\n  <\/math><br\/>\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\">\r\n    <mi>x<\/mi><mo>&#x2264;<\/mo><mo>&#x2212;<\/mo><mn>7<\/mn>\r\n  <\/math>\r\n<\/div>\r\n&nbsp;\r\n<p>Because the absolute value inequality produces two separate solution regions, the solution is\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>x<\/mi><mo>&#x2264;<\/mo><mo>&#x2212;<\/mo><mn>7<\/mn><\/math>\r\n  or\r\n  <math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>x<\/mi><mo>&#x2265;<\/mo><mn>1<\/mn><\/math>.\r\n<\/p>\r\n\r\n<\/div>\r\n <div class=\"bugreport\">Found a bug? <a class=\"ylist\" href=\"https:\/\/airtable.com\/appgcc1PP0BbzPCbI\/shr5gZ1gnO15kxPFw?prefill_Test=PSAT&prefill_Question+Number=5&prefill_Which+Form=General-IQ-Feedback&prefill_UP-ID=General-IQ-Feedback%20-%20PSAT%20-%201&hide_Test=true&hide_Which+Form=true&hide_UP-ID=true&hide_Question+Number=true\" target=\"_blank\" rel=\"noopener\">Let us know!<\/a><\/div>\r\n<\/div><\/div>\n\n\t\t\t<div class=\"sg-box\">\n\t\t\t\t<div class=\"sg-box-text\">\n\t\t\t\t\t<p class=\"sg-box-title\">Check Out Mometrix's PSAT Flashcards<\/p>\n\t\t\t\t\t<p>Get complex  subjects broken down into easily understandable concepts<\/p>\n\t\t\t\t\t<a class=\"sg-box-button blue-button\" href=\"https:\/\/www.flashcardsecrets.com\/psat\/\" target=\"_blank\" rel=\"noopener\">Get Your Flashcards<\/a>\n\t\t\t\t<\/div>\n\t\t\t\t<a href=\"https:\/\/www.flashcardsecrets.com\/psat\/\">\n\t\t\t\t<img loading=\"lazy\" decoding=\"async\" width=\"238\" height=\"184\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2025\/09\/psatflash.jpg\" alt=\" Flashcards\">\n\t\t\t\t<\/a>\n\t\t\t<\/div>\n<a href=\"https:\/\/www.mometrix.com\/university\/psat\/\" class=\"mobile-ad\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Mobile Ad', 'Mobile Click', 'PSAT Mobile Click']);\"><br \/>\n<img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/03\/PSAT-Mobile-Ad.webp\" alt=\"Ad for a Mometrix online course\" width=\"353\" height=\"354\" \/><br \/>\n<\/a>\n<h2 id=\"PSATCourse\" class=\"pt-page\"><span id=\"PSAT_Online_Prep_Course\" class=\"m-toc-anchor\"><\/span>PSAT Online Prep Course<\/h2>\n<p>If you want to be fully prepared, Mometrix offers an <strong>online PSAT prep course<\/strong> designed to give you everything you need to succeed!<\/p>\n<p>Here&#8217;s what you&#8217;ll find in the PSAT course:<\/p>\n<div class=\"mocblurb\">\n<ul>\n<li class=\"moclessons\"><\/li>\n<li class=\"mocpqs\"><\/li>\n<li class=\"mocvideos\"><\/li>\n<li class=\"mocflash\"><\/li>\n<li class=\"mocmoney\"><\/li>\n<li class=\"mocmobile\"><\/li>\n<\/ul>\n<\/div>\n<p>Everyone learns differently, so we&#8217;ve tailored the PSAT online prep course to ensure every learner has what they need to prepare for the PSAT exam.<\/p>\n<p>Click below to check it out!<\/p>\n<div style=\"text-align: center;\"><a href=\"https:\/\/www.mometrix.com\/university\/psat\/?utm_source=academy&amp;utm_medium=button&amp;utm_campaign=academy-mu-ads&amp;utm_content=psat\" class=\"class_names\" style=\"color:black;\" onclick=\"_paq.push(['trackEvent', 'Course Button', 'Course Click', 'PSAT Course Click']);\"><button class=\"buttontranscript\">Start Your PSAT Online Course<\/button><\/a><\/div>\n<p>&nbsp;<br \/>\n<div itemscope=\"\" itemprop=\"author\" itemtype=\"http:\/\/schema.org\/Person\" class=\"author-bio\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"image\" class=\"author-image\" height=\"127\" width=\"127\" alt=\"Headshot of Mometrix associate Peter Rench.\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/01\/Peter-Rench-scaled.webp\"><div class=\"author-text\"><p class=\"author-name\">By <span itemprop=\"name\">Peter Rench<\/span><\/p><div class=\"author-desc\"><p>Peter Rench joined Mometrix in 2009 and serves as Vice President of Product Development, responsible for overseeing all new product development and quality improvements. Mr. Rench, a National Merit Scholar, graduated magna cum laude with a Bachelor of Science in Mechanical Engineering and a minor in mathematics from Texas A&amp;M University.<\/p>\n<\/div><\/div><\/div><div itemscope=\"\" itemprop=\"editor\" itemtype=\"http:\/\/schema.org\/Person\" class=\"author-bio\"><img loading=\"lazy\" decoding=\"async\" itemprop=\"image\" class=\"author-image\" height=\"127\" width=\"127\" alt=\"Aaron Lanni profile pic\" src=\"https:\/\/www.mometrix.com\/academy\/wp-content\/uploads\/2024\/12\/image_2024-12-11_124906662.png\"><div class=\"author-text\"><p class=\"author-name\">Edited by <span itemprop=\"name\">Aaron Lanni<\/span><\/p><div class=\"author-desc\"><p>Aaron is the content manager and lead editor for Mometrix Academy. He regularly produces, updates, proofreads, and edits content to ensure it meets Mometrix\u2019s quality and accessibility standards.<\/p>\n<\/div><p class=\"alignright author-desc author-link\"><a class=\"ylist\" href=\"https:\/\/www.mometrix.com\/academy\/editorial-guidelines\/\">Learn more about our editorial guidelines<\/a> \u2192<\/p><\/div><\/div><\/p>\n<div class=\"home-buttons\">\n<p><a href=\"https:\/\/www.mometrix.com\/academy\/psat-test\/\">PSAT Test &#8211; Home<\/a><\/p>\n<\/div>\n<p class=\"disclaimer\">PSAT\/NMSQT\u00ae is a trademark registered by the College Board and the National Merit Scholarship Corporation, which are not affiliated with, and do not endorse, this page.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Every year, thousands of high school students across the country prepare for the SAT&reg;. But before they take the SAT, many students take other related assessments, including the Preliminary SAT\/National Merit Scholarship Qualifying Test (PSAT\/NMSQT&reg;). Click the \u201cStart Test\u201d above to begin your free PSAT practice test! These practice questions will give you a better &#8230; <a title=\"PSAT&reg; Practice Test\" class=\"read-more\" href=\"https:\/\/www.mometrix.com\/academy\/psat-practice-test\/\" aria-label=\"Read more about PSAT&reg; Practice Test\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":272383,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":{"0":"post-40130","1":"page","2":"type-page","3":"status-publish","4":"has-post-thumbnail","6":"page_category-course-pages","7":"page_category-psat-advertising-group","8":"page_category-psat-pages","9":"page_type-exam-overview","10":"page_domain-psat"},"aioseo_notices":[],"_links":{"self":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/40130","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/comments?post=40130"}],"version-history":[{"count":11,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/40130\/revisions"}],"predecessor-version":[{"id":293549,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/pages\/40130\/revisions\/293549"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media\/272383"}],"wp:attachment":[{"href":"https:\/\/www.mometrix.com\/academy\/wp-json\/wp\/v2\/media?parent=40130"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}