{"id":1579,"date":"2021-08-25T18:51:07","date_gmt":"2021-08-25T18:51:07","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=1579"},"modified":"2022-02-01T19:46:16","modified_gmt":"2022-02-01T19:46:16","slug":"review-topics-for-success-6","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/review-topics-for-success-6\/","title":{"raw":"Review Topics for Success","rendered":"Review Topics for Success"},"content":{"raw":"<div class=\"bcc-box bcc-highlight\">\r\n<h3>Learning Outcomes<\/h3>\r\nBy the end of this section, you will be able to:\r\n<ul>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Use properties of real numbers to simplify expressions<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Solve multi-step equations<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Evaluate absolute value expressions<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Solve absolute value equations<\/li>\r\n \t<li style=\"font-weight: 400;\" aria-level=\"1\">Solve absolute value inequalities<\/li>\r\n<\/ul>\r\n<\/div>\r\nIn Module 2, you learned that the mean of a list of numbers, [latex]x_1,x_2,...,x_n[\/latex] was found using the formula\r\n<p style=\"text-align: center;\">[latex]\\large \\overline{x} = \\frac{\\sum_{n}^{i=1} x_i}{n} = \\frac{x_1 + x_2 + ... + x_n}{n}[\/latex]<\/p>\r\nSuppose a student\u2019s overall grade will be determined by their mean score on four, 100-point exams. The student earned 95, 89, and 88 on the first, second and fourth exams in a class. Their\u00a0 mean score is 85 points, but they have misplaced the third exam and want to know that grade. The unknown score is the solution to the equation\r\n<p style=\"text-align: center;\">[latex]\\large \\frac{95+89+ x_3 +88}{4} = 85[\/latex].<\/p>\r\n<img class=\"size-medium wp-image-1733 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/27194541\/pexels-kampus-production-5940708-4-300x200.jpg\" alt=\"a guy typing on a laptop in a room\" width=\"300\" height=\"200\" \/>\r\n\r\nIn statistics, we sometimes need to solve equations or manipulate formulas. In this section we\u2019ll review solving first degree equations like the one above, as well as absolute value equations and inequalities.\r\n<div class=\"textbox examples\">\r\n<h3>Recall for success<\/h3>\r\nLook for red boxes like this one throughout the text. They'll show up just in time to give helpful\u00a0reminders of the math you'll need, right where you'll need it.\r\n\r\n<\/div>","rendered":"<div class=\"bcc-box bcc-highlight\">\n<h3>Learning Outcomes<\/h3>\n<p>By the end of this section, you will be able to:<\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Use properties of real numbers to simplify expressions<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Solve multi-step equations<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Evaluate absolute value expressions<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Solve absolute value equations<\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\">Solve absolute value inequalities<\/li>\n<\/ul>\n<\/div>\n<p>In Module 2, you learned that the mean of a list of numbers, [latex]x_1,x_2,...,x_n[\/latex] was found using the formula<\/p>\n<p style=\"text-align: center;\">[latex]\\large \\overline{x} = \\frac{\\sum_{n}^{i=1} x_i}{n} = \\frac{x_1 + x_2 + ... + x_n}{n}[\/latex]<\/p>\n<p>Suppose a student\u2019s overall grade will be determined by their mean score on four, 100-point exams. The student earned 95, 89, and 88 on the first, second and fourth exams in a class. Their\u00a0 mean score is 85 points, but they have misplaced the third exam and want to know that grade. The unknown score is the solution to the equation<\/p>\n<p style=\"text-align: center;\">[latex]\\large \\frac{95+89+ x_3 +88}{4} = 85[\/latex].<\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"size-medium wp-image-1733 aligncenter\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/5668\/2021\/08\/27194541\/pexels-kampus-production-5940708-4-300x200.jpg\" alt=\"a guy typing on a laptop in a room\" width=\"300\" height=\"200\" \/><\/p>\n<p>In statistics, we sometimes need to solve equations or manipulate formulas. In this section we\u2019ll review solving first degree equations like the one above, as well as absolute value equations and inequalities.<\/p>\n<div class=\"textbox examples\">\n<h3>Recall for success<\/h3>\n<p>Look for red boxes like this one throughout the text. They&#8217;ll show up just in time to give helpful\u00a0reminders of the math you&#8217;ll need, right where you&#8217;ll need it.<\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-1579\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Original<\/div><ul class=\"citation-list\"><li><strong>Provided by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Serious young black man working on laptop sitting near window in library. <strong>Authored by<\/strong>: Kampus Production. <strong>Provided by<\/strong>: Pexels. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/www.pexels.com\/photo\/serious-young-black-man-working-on-laptop-sitting-near-window-in-library-5940708\/\">https:\/\/www.pexels.com\/photo\/serious-young-black-man-working-on-laptop-sitting-near-window-in-library-5940708\/<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":169134,"menu_order":2,"template":"","meta":{"_candela_citation":"[{\"type\":\"original\",\"description\":\"\",\"author\":\"\",\"organization\":\"Lumen Learning\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Serious young black man working on laptop sitting near window in library\",\"author\":\"Kampus Production\",\"organization\":\"Pexels\",\"url\":\"https:\/\/www.pexels.com\/photo\/serious-young-black-man-working-on-laptop-sitting-near-window-in-library-5940708\/\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1579","chapter","type-chapter","status-publish","hentry"],"part":256,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1579","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/users\/169134"}],"version-history":[{"count":11,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1579\/revisions"}],"predecessor-version":[{"id":3644,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1579\/revisions\/3644"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/256"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1579\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=1579"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1579"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=1579"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=1579"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}