{"id":1811,"date":"2021-09-10T12:09:33","date_gmt":"2021-09-10T12:09:33","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/?post_type=chapter&#038;p=1811"},"modified":"2022-02-07T18:25:47","modified_gmt":"2022-02-07T18:25:47","slug":"review-topics-for-success-7","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/chapter\/review-topics-for-success-7\/","title":{"raw":"Review Topics for Success","rendered":"Review Topics for Success"},"content":{"raw":"<div class=\"textbox learning-objectives\">\r\n<h3>Learning Outcomes<\/h3>\r\n<section>\r\n<ul id=\"list6234\">\r\n \t<li>Solve proportional equations<\/li>\r\n \t<li>Use the square root property to solve a quadratic equation<\/li>\r\n \t<li>Solve a radical equation by isolating the radical term and then raising both sides to a power to remove the radical<\/li>\r\n \t<li>Identify a radical equation with no solution or extraneous solutions<\/li>\r\n<\/ul>\r\n<\/section><\/div>\r\nIn Module 2 you learned the formula for finding the sample standard deviation:\r\n<p style=\"text-align: center;\">[latex] \\LARGE s= \\sqrt{ \\frac{ \\sum(x-\\overline{x} )^2}{n-1}} [\/latex]<\/p>\r\nTo find this, you needed to know the data values (<em>x<\/em>) and the sample size (<em>n<\/em>). But sometimes we may need to write an equation like this in a different form. What if you need to solve for <em>n<\/em>? To do this, you need to know how to remove the radical and what to do with an equation that contains a variable in a denominator. In this review section we\u2019ll discuss some equation solving techniques.\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>\r\n&nbsp;","rendered":"<div class=\"textbox learning-objectives\">\n<h3>Learning Outcomes<\/h3>\n<section>\n<ul id=\"list6234\">\n<li>Solve proportional equations<\/li>\n<li>Use the square root property to solve a quadratic equation<\/li>\n<li>Solve a radical equation by isolating the radical term and then raising both sides to a power to remove the radical<\/li>\n<li>Identify a radical equation with no solution or extraneous solutions<\/li>\n<\/ul>\n<\/section>\n<\/div>\n<p>In Module 2 you learned the formula for finding the sample standard deviation:<\/p>\n<p style=\"text-align: center;\">[latex]\\LARGE s= \\sqrt{ \\frac{ \\sum(x-\\overline{x} )^2}{n-1}}[\/latex]<\/p>\n<p>To find this, you needed to know the data values (<em>x<\/em>) and the sample size (<em>n<\/em>). But sometimes we may need to write an equation like this in a different form. What if you need to solve for <em>n<\/em>? To do this, you need to know how to remove the radical and what to do with an equation that contains a variable in a denominator. In this review section we\u2019ll discuss some equation solving techniques.<\/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<p>&nbsp;<\/p>\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-1811\">\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>\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\":\"\"}]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-1811","chapter","type-chapter","status-publish","hentry"],"part":262,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1811","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":15,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1811\/revisions"}],"predecessor-version":[{"id":3691,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1811\/revisions\/3691"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/parts\/262"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapters\/1811\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/media?parent=1811"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/pressbooks\/v2\/chapter-type?post=1811"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/contributor?post=1811"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/introstatscorequisite\/wp-json\/wp\/v2\/license?post=1811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}