{"id":97,"date":"2023-06-21T13:22:32","date_gmt":"2023-06-21T13:22:32","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-4\/"},"modified":"2023-06-21T13:22:32","modified_gmt":"2023-06-21T13:22:32","slug":"summary-review-4","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-4\/","title":{"raw":"Summary: Review","rendered":"Summary: Review"},"content":{"raw":"\n\nKey Concepts\n<ul>\n \t<li>Denominators may be eliminated from rational equations by multiplying each term in the equation by the lowest common denominator (LCD).<\/li>\n \t<li>Declare values of the variable that could cause any denominator to equal zero before reducing or solving, then exclude those values from the solution set for the equation.<\/li>\n \t<li>The formula for the perimeter of a rectangle of length L and width W is [latex]P=2L + 2W[\/latex]<\/li>\n \t<li>The formula for the area of a rectangular region of legth L and width W is [latex]A=LW[\/latex]<\/li>\n \t<li>The formula for the volume of a rectangular solid of length L, width W, and height H is [latex]V = LWH[\/latex]<\/li>\n \t<li>The formula that relates distance, rate, and time is [latex]d = rt[\/latex]<\/li>\n \t<li>A formula may be rearranged by algebraically isolating any one of the variables as desired<\/li>\n \t<li>Inequalities may be expressed in words, by using an inequality symbol, or graphed on a number line.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n\n        <dt><strong>area<\/strong><\/dt>\n \t<dd>the size of the surface of a two-dimensional figure<\/dd>\n\n        <dt><strong>inequality&nbsp;<\/strong><\/dt>\n \t<dd>a mathematical statement that compares the size or value of two mathematical expressions<\/dd>\n\n \t<dt><strong>LCD<\/strong><\/dt>\n \t<dd>lowest common denominator, the smallest possible expression into which each denominator will factor evenly.<\/dd>\n\n \t<dt><strong>perimeter&nbsp;<\/strong><\/dt>\n \t<dd>a measure of the linear distance around the edges of a two-dimensional figure<\/dd>\n\n        <dt><strong>rational equation<\/strong><\/dt>\n \t<dd>any equation containing a variable expression in one or more denominators<\/dd>\n\n \t<dt><strong>volume<\/strong><\/dt>\n \t<dd>the size of the space contained within the edges of a three-dimensional figure<\/dd>\n\n \t\n\n<\/dl>\n\n","rendered":"<p>Key Concepts<\/p>\n<ul>\n<li>Denominators may be eliminated from rational equations by multiplying each term in the equation by the lowest common denominator (LCD).<\/li>\n<li>Declare values of the variable that could cause any denominator to equal zero before reducing or solving, then exclude those values from the solution set for the equation.<\/li>\n<li>The formula for the perimeter of a rectangle of length L and width W is [latex]P=2L + 2W[\/latex]<\/li>\n<li>The formula for the area of a rectangular region of legth L and width W is [latex]A=LW[\/latex]<\/li>\n<li>The formula for the volume of a rectangular solid of length L, width W, and height H is [latex]V = LWH[\/latex]<\/li>\n<li>The formula that relates distance, rate, and time is [latex]d = rt[\/latex]<\/li>\n<li>A formula may be rearranged by algebraically isolating any one of the variables as desired<\/li>\n<li>Inequalities may be expressed in words, by using an inequality symbol, or graphed on a number line.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<dl>\n<dt><strong>area<\/strong><\/dt>\n<dd>the size of the surface of a two-dimensional figure<\/dd>\n<dt><strong>inequality&nbsp;<\/strong><\/dt>\n<dd>a mathematical statement that compares the size or value of two mathematical expressions<\/dd>\n<dt><strong>LCD<\/strong><\/dt>\n<dd>lowest common denominator, the smallest possible expression into which each denominator will factor evenly.<\/dd>\n<dt><strong>perimeter&nbsp;<\/strong><\/dt>\n<dd>a measure of the linear distance around the edges of a two-dimensional figure<\/dd>\n<dt><strong>rational equation<\/strong><\/dt>\n<dd>any equation containing a variable expression in one or more denominators<\/dd>\n<dt><strong>volume<\/strong><\/dt>\n<dd>the size of the space contained within the edges of a three-dimensional figure<\/dd>\n<\/dl>\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-97\">\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 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