{"id":80,"date":"2023-06-21T13:22:30","date_gmt":"2023-06-21T13:22:30","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-3\/"},"modified":"2023-08-10T00:25:16","modified_gmt":"2023-08-10T00:25:16","slug":"summary-review-3","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/gsu-collegealgebra\/chapter\/summary-review-3\/","title":{"raw":"Summary: Review","rendered":"Summary: Review"},"content":{"raw":"<h2>Key Concepts<\/h2>\r\n<ul>\r\n \t<li>The addition and multiplication properties of equality allow the same operation to be performed on both sides of an equation<\/li>\r\n \t<li>To solve an equation containing an absolute value, first isolate the absolute value then write two equations: [latex]|u| = c[\/latex] and [latex]|u| = -c[\/latex]<\/li>\r\n \t<li>Use the distributive property to eliminate parentheses in equations before collecting and combining like terms.<\/li>\r\n \t<li>Use the multiplication property of equality to eliminate fractions from equations by multiplying both sides by the LCD.<\/li>\r\n \t<li>Eliminate decimals from an equation by multiplying both sides by a sufficient factor of 10.<\/li>\r\n \t<li>Equations may have one unique solution, no solutions, or an infinite number of solutions.<\/li>\r\n<\/ul>\r\n<h2>Glossary<\/h2>\r\n<strong>coefficient <\/strong>a number multiplying a variable\r\n\r\n<strong>conditional equation\u00a0<\/strong>an equation that has a finite number of solutions\r\n\r\n<strong>equation <\/strong>a mathematical statement of equivalency between two expressions\r\n\r\n<strong>expression\u00a0<\/strong>groups of terms connected by addition or subtraction\r\n\r\n<strong>identity\u00a0<\/strong>an equation that has infinitely many solutions\r\n\r\n<strong>inconsistent equation\u00a0<\/strong>an equation that has no solution\r\n\r\n<strong>term<\/strong> a single number, or variables and numbers connected by multiplication\r\n\r\n<strong>variable\u00a0<\/strong>a symbol that stands for an unknown quantity, often represented by letters such as [latex]x, y, [\/latex] or [latex]z[\/latex].","rendered":"<h2>Key Concepts<\/h2>\n<ul>\n<li>The addition and multiplication properties of equality allow the same operation to be performed on both sides of an equation<\/li>\n<li>To solve an equation containing an absolute value, first isolate the absolute value then write two equations: [latex]|u| = c[\/latex] and [latex]|u| = -c[\/latex]<\/li>\n<li>Use the distributive property to eliminate parentheses in equations before collecting and combining like terms.<\/li>\n<li>Use the multiplication property of equality to eliminate fractions from equations by multiplying both sides by the LCD.<\/li>\n<li>Eliminate decimals from an equation by multiplying both sides by a sufficient factor of 10.<\/li>\n<li>Equations may have one unique solution, no solutions, or an infinite number of solutions.<\/li>\n<\/ul>\n<h2>Glossary<\/h2>\n<p><strong>coefficient <\/strong>a number multiplying a variable<\/p>\n<p><strong>conditional equation\u00a0<\/strong>an equation that has a finite number of solutions<\/p>\n<p><strong>equation <\/strong>a mathematical statement of equivalency between two expressions<\/p>\n<p><strong>expression\u00a0<\/strong>groups of terms connected by addition or subtraction<\/p>\n<p><strong>identity\u00a0<\/strong>an equation that has infinitely many solutions<\/p>\n<p><strong>inconsistent equation\u00a0<\/strong>an equation that has no solution<\/p>\n<p><strong>term<\/strong> a single number, or variables and numbers connected by multiplication<\/p>\n<p><strong>variable\u00a0<\/strong>a symbol that stands for an unknown quantity, often represented by letters such as [latex]x, y,[\/latex] or [latex]z[\/latex].<\/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-80\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Summary: Review. <strong>Authored by<\/strong>: Michelle Eunhee Chung. <strong>Provided by<\/strong>: Georgia State University . <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":395986,"menu_order":7,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc\",\"description\":\"Summary: Review\",\"author\":\"Michelle Eunhee Chung\",\"organization\":\"Georgia State University 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