{"id":397,"date":"2019-04-29T12:29:28","date_gmt":"2019-04-29T16:29:28","guid":{"rendered":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/?post_type=part&#038;p=397"},"modified":"2019-12-05T15:49:17","modified_gmt":"2019-12-05T20:49:17","slug":"midterm-three-preparation","status":"publish","type":"part","link":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/part\/midterm-three-preparation\/","title":{"raw":"Midterm 3 Preparation and Sample Questions","rendered":"Midterm 3 Preparation and Sample Questions"},"content":{"raw":"[latexpage]\r\n\r\nThis chapter contains several sections that will help prepare for the midterm exam:\r\n<table class=\"aligncenter\" style=\"border-collapse: collapse;width: 69.6947%;height: 142px\" border=\"0\">\r\n<tbody>\r\n<tr>\r\n<td style=\"width: 80%\"><a href=\"#composition\">Midterm 3 Composition<\/a>\r\n<a href=\"#reviewquestions\">Midterm 3 Review<\/a>\r\n<a href=\"#midterma\">Midterm Sample A<\/a>\r\n<a href=\"#midtermb\">Midterm Sample B<\/a>\r\n<a href=\"#midtermc\">Midterm Sample C<\/a>\r\n<a href=\"#midtermd\">Midterm Sample D<\/a>\r\n<a href=\"#midterme\">Midterm Sample E<\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<h1 id=\"composition\">Midterm Three Composition<\/h1>\r\nThe third midterm will be composed of fifteen questions covering chapters 7 to 9. Twelve questions will be algebra questions, and three questions will be word problems.\r\n<ul>\r\n \t<li><strong>Questions 1\u20134 will be drawn from Chapter 8: Rational Expressions<\/strong>\r\n<ul>\r\n \t<li>8.1 Reducing Rational Expressions<\/li>\r\n \t<li>8.2 Multiplication and Division of Rational Expressions<\/li>\r\n \t<li>8.3 Least Common Denominators<\/li>\r\n \t<li>8.4 Addition and Subtraction of Rational Expressions<\/li>\r\n \t<li>8.5 Reducing Complex Fractions<\/li>\r\n \t<li>8.6 Solving Complex Fractions<\/li>\r\n \t<li>8.7 Solving Rational Equations<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Questions 5\u20138 will be drawn from Chapter 9: Radicals<\/strong>\r\n<ul>\r\n \t<li>9.1 Reducing Square Roots<\/li>\r\n \t<li>9.2 Reducing Higher Power Roots<\/li>\r\n \t<li>9.3 Adding and Subtracting Radicals<\/li>\r\n \t<li>9.4 Multiplication and Division of Radicals<\/li>\r\n \t<li>9.5 Rationalizing Denominators<\/li>\r\n \t<li>9.6 Radicals and Rational Exponents<\/li>\r\n \t<li>9.8 Radicals of Mixed Index<\/li>\r\n \t<li>9.9 Complex Numbers (Optional)<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Questions 9\u201312 will be drawn from Chapter 10: Quadratics<\/strong>\r\n<ul>\r\n \t<li>10.1 Solving Radical Equations<\/li>\r\n \t<li>10.2 Solving Exponential Equations<\/li>\r\n \t<li>10.3 Completing the Square<\/li>\r\n \t<li>10.4 The Quadratic Equation<\/li>\r\n \t<li>10.5 Solving Quadratic Equations Using Substitution<\/li>\r\n \t<li>\u00a010.6 Graphing Quadratic Equations\u2014Vertex and Intercept Method<\/li>\r\n \t<li>10.7 Quadratic Word Problems: Age and Numbers<\/li>\r\n \t<li>10.8 Construct a Quadratic Equation from its Roots<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>Questions 13\u201315 will be three word problems drawn from:\r\n<ul>\r\n \t<li>8.8 Rate Word Problems: Speed, Distance and Time<\/li>\r\n \t<li>9.10 Rate Word Problems: Work and Time<\/li>\r\n \t<li>10.7 Quadratic Word Problems: Age and Numbers<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\nStudents will be allowed to use MATQ 1099 Data Booklets &amp; Glossaries for both Midterms and the Final Exam.\r\n<h1 id=\"reviewquestions\">Midterm Three Review<\/h1>\r\n<h2>Chapter 7: Rational Expressions (Exam Type Questions)<\/h2>\r\nIn the problems below, perform the indicated operations and simplify.\r\n<ol>\r\n \t<li>\\(\\dfrac{6a-6b}{a^3+b^3}\\div \\dfrac{a^2-b^2}{a^2-ab+b^2}\\)<\/li>\r\n \t<li>\\(\\dfrac{x}{x^2-25} - \\dfrac{2}{x^2-6x+5}\\)<\/li>\r\n \t<li>\\(\\dfrac{1-\\dfrac{6}{x}}{\\dfrac{4}{x}-\\dfrac{24}{x^2}}\\)<\/li>\r\n<\/ol>\r\nSolve for \\(x\\).\r\n<ol start=\"4\">\r\n \t<li>\\(\\dfrac{4}{x+4}-\\dfrac{5}{x-2}=5\\)<\/li>\r\n<\/ol>\r\n<h2>Chapter 8: Radicals\u00a0(Exam Type Questions)<\/h2>\r\nQuestions 5\u20136 are for review only and will not show up on exams.\r\n<ol start=\"5\">\r\n \t<li>\\(\\sqrt[3]{-64}=-4 \\text{ (true or false)}\\)<\/li>\r\n \t<li>\\(\\sqrt[6]{-64}=-2\\text{ (true or false)}\\)<\/li>\r\n<\/ol>\r\nQuestions similar to 7\u201313 will show up on exams.\r\n\r\nFor questions 7\u201310, simplify each expression.\r\n<ol start=\"7\">\r\n \t<li>\\(4\\sqrt{36}+3\\sqrt{72}+\\sqrt{16}\\)<\/li>\r\n \t<li>\\(\\dfrac{\\sqrt{300a^5b^2}}{3ab^2}\\)<\/li>\r\n \t<li>\\(\\dfrac{12}{3-\\sqrt{6}}\\)<\/li>\r\n \t<li>\\(\\left(\\dfrac{a^0b^3}{c^6d^{-12}}\\right)^{\\frac{1}{3}}\\)<\/li>\r\n<\/ol>\r\nFor questions 11\u201313, solve for \\(x\\).\r\n<ol start=\"11\">\r\n \t<li>\\(\\sqrt{5x-6}=x\\)<\/li>\r\n \t<li>\\(\\sqrt{2x+9}+3=x\\)<\/li>\r\n \t<li>\\(\\sqrt{x-3}=\\sqrt{2x-5}\\)<\/li>\r\n<\/ol>\r\n<h2>Chapter 9: Quadratics\u00a0(Exam Type Questions)<\/h2>\r\nUse the quadratic discriminant to determine the nature of the roots of each equation.\r\n<ol start=\"14\">\r\n \t<li>\\(\\phantom{1}\\)\r\n<ol type=\"a\">\r\n \t<li>\\(2x^2 + 4x + 3 = 0\\)<\/li>\r\n \t<li>\\(3x^2-2x-8=0\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n<\/ol>\r\nFor the questions below, find the solution set by any convenient method.\r\n<ol start=\"15\">\r\n \t<li>\\(\\phantom{1}\\)\r\n<ol type=\"a\">\r\n \t<li>\\(3x^2 = 27\\)<\/li>\r\n \t<li>\\(2x^2=16x\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>\\(\\phantom{1}\\)\r\n<ol type=\"a\">\r\n \t<li>\\(x^2-x-12=0\\)<\/li>\r\n \t<li>\\(x^2+9x=-8\\)<\/li>\r\n<\/ol>\r\n<\/li>\r\n \t<li>\\(\\dfrac{x-3}{2}+\\dfrac{6}{x+3}=1\\)<\/li>\r\n \t<li>\\(\\dfrac{x-2}{x}=\\dfrac{x}{x+4}\\)<\/li>\r\n<\/ol>\r\n<h2>Chapter 7\u20139 Word Problems (Exam Type Questions)<\/h2>\r\n<ol start=\"19\">\r\n \t<li>The length of a rectangle is 3 cm longer than twice the width. If the area of the rectangle is 65 cm<sup>2<\/sup>, find its length and width.<\/li>\r\n \t<li>Find three consecutive even integers such that the product of the first and the second is 68 more than the third integer.<\/li>\r\n \t<li>A boat cruises upriver for 8 hours and returns to its starting point in 6 hours. If the speed of the river is 4 km\/h, find the speed of this boat in still water.<\/li>\r\n \t<li>The base of a right triangle is 8 m longer than its height. If the area of the triangle is 330 m<sup>2<\/sup>, what are its base and height measurements?<\/li>\r\n<\/ol>\r\n<a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-3-prep-answer-key\/\">Midterm 3: Prep Questions Answer Key<\/a>\r\n<h1 id=\"midterma\"><\/h1>","rendered":"<p>This chapter contains several sections that will help prepare for the midterm exam:<\/p>\n<table class=\"aligncenter\" style=\"border-collapse: collapse;width: 69.6947%;height: 142px\">\n<tbody>\n<tr>\n<td style=\"width: 80%\"><a href=\"#composition\">Midterm 3 Composition<\/a><br \/>\n<a href=\"#reviewquestions\">Midterm 3 Review<\/a><br \/>\n<a href=\"#midterma\">Midterm Sample A<\/a><br \/>\n<a href=\"#midtermb\">Midterm Sample B<\/a><br \/>\n<a href=\"#midtermc\">Midterm Sample C<\/a><br \/>\n<a href=\"#midtermd\">Midterm Sample D<\/a><br \/>\n<a href=\"#midterme\">Midterm Sample E<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1 id=\"composition\">Midterm Three Composition<\/h1>\n<p>The third midterm will be composed of fifteen questions covering chapters 7 to 9. Twelve questions will be algebra questions, and three questions will be word problems.<\/p>\n<ul>\n<li><strong>Questions 1\u20134 will be drawn from Chapter 8: Rational Expressions<\/strong>\n<ul>\n<li>8.1 Reducing Rational Expressions<\/li>\n<li>8.2 Multiplication and Division of Rational Expressions<\/li>\n<li>8.3 Least Common Denominators<\/li>\n<li>8.4 Addition and Subtraction of Rational Expressions<\/li>\n<li>8.5 Reducing Complex Fractions<\/li>\n<li>8.6 Solving Complex Fractions<\/li>\n<li>8.7 Solving Rational Equations<\/li>\n<\/ul>\n<\/li>\n<li><strong>Questions 5\u20138 will be drawn from Chapter 9: Radicals<\/strong>\n<ul>\n<li>9.1 Reducing Square Roots<\/li>\n<li>9.2 Reducing Higher Power Roots<\/li>\n<li>9.3 Adding and Subtracting Radicals<\/li>\n<li>9.4 Multiplication and Division of Radicals<\/li>\n<li>9.5 Rationalizing Denominators<\/li>\n<li>9.6 Radicals and Rational Exponents<\/li>\n<li>9.8 Radicals of Mixed Index<\/li>\n<li>9.9 Complex Numbers (Optional)<\/li>\n<\/ul>\n<\/li>\n<li><strong>Questions 9\u201312 will be drawn from Chapter 10: Quadratics<\/strong>\n<ul>\n<li>10.1 Solving Radical Equations<\/li>\n<li>10.2 Solving Exponential Equations<\/li>\n<li>10.3 Completing the Square<\/li>\n<li>10.4 The Quadratic Equation<\/li>\n<li>10.5 Solving Quadratic Equations Using Substitution<\/li>\n<li>\u00a010.6 Graphing Quadratic Equations\u2014Vertex and Intercept Method<\/li>\n<li>10.7 Quadratic Word Problems: Age and Numbers<\/li>\n<li>10.8 Construct a Quadratic Equation from its Roots<\/li>\n<\/ul>\n<\/li>\n<li>Questions 13\u201315 will be three word problems drawn from:\n<ul>\n<li>8.8 Rate Word Problems: Speed, Distance and Time<\/li>\n<li>9.10 Rate Word Problems: Work and Time<\/li>\n<li>10.7 Quadratic Word Problems: Age and Numbers<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p>Students will be allowed to use MATQ 1099 Data Booklets &amp; Glossaries for both Midterms and the Final Exam.<\/p>\n<h1 id=\"reviewquestions\">Midterm Three Review<\/h1>\n<h2>Chapter 7: Rational Expressions (Exam Type Questions)<\/h2>\n<p>In the problems below, perform the indicated operations and simplify.<\/p>\n<ol>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-57910a2df4847cdfdf93ae42b457da37_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#97;&#45;&#54;&#98;&#125;&#123;&#97;&#94;&#51;&#43;&#98;&#94;&#51;&#125;&#92;&#100;&#105;&#118;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#94;&#50;&#45;&#98;&#94;&#50;&#125;&#123;&#97;&#94;&#50;&#45;&#97;&#98;&#43;&#98;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"175\" style=\"vertical-align: -14px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-8ef0ce6c79c6f034ec6fd3d09d6a3c4e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#120;&#94;&#50;&#45;&#50;&#53;&#125;&#32;&#45;&#32;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#125;&#123;&#120;&#94;&#50;&#45;&#54;&#120;&#43;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"173\" style=\"vertical-align: -14px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-0c2479280dcdfc46ce85c426964388ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#125;&#123;&#120;&#125;&#125;&#123;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#120;&#125;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#50;&#52;&#125;&#123;&#120;&#94;&#50;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"77\" width=\"58\" style=\"vertical-align: -34px;\" \/><\/li>\n<\/ol>\n<p>Solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-32aa7af74ac10d419337e41b349ed05e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/>.<\/p>\n<ol start=\"4\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-b4013d89d24b2caf08da6b8e7d8b7190_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#52;&#125;&#123;&#120;&#43;&#52;&#125;&#45;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#53;&#125;&#123;&#120;&#45;&#50;&#125;&#61;&#53;\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"140\" style=\"vertical-align: -14px;\" \/><\/li>\n<\/ol>\n<h2>Chapter 8: Radicals\u00a0(Exam Type Questions)<\/h2>\n<p>Questions 5\u20136 are for review only and will not show up on exams.<\/p>\n<ol start=\"5\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-bacbb98bf4f26070b941610edb30dc65_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#91;&#51;&#93;&#123;&#45;&#54;&#52;&#125;&#61;&#45;&#52;&#32;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#40;&#116;&#114;&#117;&#101;&#32;&#111;&#114;&#32;&#102;&#97;&#108;&#115;&#101;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"204\" style=\"vertical-align: -4px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-5c3e8132b154e04bc168a46054a83839_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#91;&#54;&#93;&#123;&#45;&#54;&#52;&#125;&#61;&#45;&#50;&#92;&#116;&#101;&#120;&#116;&#123;&#32;&#40;&#116;&#114;&#117;&#101;&#32;&#111;&#114;&#32;&#102;&#97;&#108;&#115;&#101;&#41;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"19\" width=\"204\" style=\"vertical-align: -4px;\" \/><\/li>\n<\/ol>\n<p>Questions similar to 7\u201313 will show up on exams.<\/p>\n<p>For questions 7\u201310, simplify each expression.<\/p>\n<ol start=\"7\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-8f14aeada56b9a20ebe4fffd75c2ff10_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#52;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#54;&#125;&#43;&#51;&#92;&#115;&#113;&#114;&#116;&#123;&#55;&#50;&#125;&#43;&#92;&#115;&#113;&#114;&#116;&#123;&#49;&#54;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"159\" style=\"vertical-align: -2px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-ac767dff733cc479a31abcc22a29a0ef_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#92;&#115;&#113;&#114;&#116;&#123;&#51;&#48;&#48;&#97;&#94;&#53;&#98;&#94;&#50;&#125;&#125;&#123;&#51;&#97;&#98;&#94;&#50;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"41\" width=\"74\" style=\"vertical-align: -12px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-4842e495e80dd5d2de370bf73f4e8936_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#49;&#50;&#125;&#123;&#51;&#45;&#92;&#115;&#113;&#114;&#116;&#123;&#54;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"40\" width=\"55\" style=\"vertical-align: -16px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-2cff2d31ab89889f82857ac47bd0c815_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#108;&#101;&#102;&#116;&#40;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#97;&#94;&#48;&#98;&#94;&#51;&#125;&#123;&#99;&#94;&#54;&#100;&#94;&#123;&#45;&#49;&#50;&#125;&#125;&#92;&#114;&#105;&#103;&#104;&#116;&#41;&#94;&#123;&#92;&#102;&#114;&#97;&#99;&#123;&#49;&#125;&#123;&#51;&#125;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"50\" width=\"85\" style=\"vertical-align: -17px;\" \/><\/li>\n<\/ol>\n<p>For questions 11\u201313, solve for <img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-32aa7af74ac10d419337e41b349ed05e_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"10\" style=\"vertical-align: 0px;\" \/>.<\/p>\n<ol start=\"11\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-209e00a1c284d2bb2e9da2e61e0ecccd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#53;&#120;&#45;&#54;&#125;&#61;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"97\" style=\"vertical-align: -3px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-5c32ffcaf0cfdae5786637d8f20a345d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#120;&#43;&#57;&#125;&#43;&#51;&#61;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"127\" style=\"vertical-align: -3px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-55d79b58f15209ccbd0fdd56a1b571cc_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#115;&#113;&#114;&#116;&#123;&#120;&#45;&#51;&#125;&#61;&#92;&#115;&#113;&#114;&#116;&#123;&#50;&#120;&#45;&#53;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"18\" width=\"143\" style=\"vertical-align: -3px;\" \/><\/li>\n<\/ol>\n<h2>Chapter 9: Quadratics\u00a0(Exam Type Questions)<\/h2>\n<p>Use the quadratic discriminant to determine the nature of the roots of each equation.<\/p>\n<ol start=\"14\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-413a3290f8872451e6e379dd66442a1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"1\" width=\"1\" style=\"vertical-align: 0px;\" \/>\n<ol type=\"a\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-978152cdcf5fc709a49d7479bcfea018_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#94;&#50;&#32;&#43;&#32;&#52;&#120;&#32;&#43;&#32;&#51;&#32;&#61;&#32;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"131\" style=\"vertical-align: -2px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-646897109a8b246a49f66d1b68577c95_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#94;&#50;&#45;&#50;&#120;&#45;&#56;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"131\" style=\"vertical-align: 0px;\" \/><\/li>\n<\/ol>\n<\/li>\n<\/ol>\n<p>For the questions below, find the solution set by any convenient method.<\/p>\n<ol start=\"15\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-413a3290f8872451e6e379dd66442a1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"1\" width=\"1\" style=\"vertical-align: 0px;\" \/>\n<ol type=\"a\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-f121d149d2009a7f643f6fc2c3a1ee48_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#51;&#120;&#94;&#50;&#32;&#61;&#32;&#50;&#55;\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"68\" style=\"vertical-align: 0px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-ec0fd93d0928f3b4a5e3506c6a5b3d3d_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#50;&#120;&#94;&#50;&#61;&#49;&#54;&#120;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"78\" style=\"vertical-align: -1px;\" \/><\/li>\n<\/ol>\n<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-413a3290f8872451e6e379dd66442a1a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#112;&#104;&#97;&#110;&#116;&#111;&#109;&#123;&#49;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"1\" width=\"1\" style=\"vertical-align: 0px;\" \/>\n<ol type=\"a\">\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-720cce0c1d40084e18c633d081a23594_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#94;&#50;&#45;&#120;&#45;&#49;&#50;&#61;&#48;\" title=\"Rendered by QuickLaTeX.com\" height=\"16\" width=\"122\" style=\"vertical-align: -1px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-ae961da13d014a7a3d6e0789f3a56034_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#120;&#94;&#50;&#43;&#57;&#120;&#61;&#45;&#56;\" title=\"Rendered by QuickLaTeX.com\" height=\"17\" width=\"105\" style=\"vertical-align: -2px;\" \/><\/li>\n<\/ol>\n<\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-25687b664be123fe72c9a6c84bcad1c5_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#45;&#51;&#125;&#123;&#50;&#125;&#43;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#54;&#125;&#123;&#120;&#43;&#51;&#125;&#61;&#49;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"140\" style=\"vertical-align: -14px;\" \/><\/li>\n<li><img loading=\"lazy\" decoding=\"async\" src=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-content\/ql-cache\/quicklatex.com-0974de65188d3d805845c2c1bd3464a0_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#45;&#50;&#125;&#123;&#120;&#125;&#61;&#92;&#100;&#102;&#114;&#97;&#99;&#123;&#120;&#125;&#123;&#120;&#43;&#52;&#125;\" title=\"Rendered by QuickLaTeX.com\" height=\"38\" width=\"109\" style=\"vertical-align: -14px;\" \/><\/li>\n<\/ol>\n<h2>Chapter 7\u20139 Word Problems (Exam Type Questions)<\/h2>\n<ol start=\"19\">\n<li>The length of a rectangle is 3 cm longer than twice the width. If the area of the rectangle is 65 cm<sup>2<\/sup>, find its length and width.<\/li>\n<li>Find three consecutive even integers such that the product of the first and the second is 68 more than the third integer.<\/li>\n<li>A boat cruises upriver for 8 hours and returns to its starting point in 6 hours. If the speed of the river is 4 km\/h, find the speed of this boat in still water.<\/li>\n<li>The base of a right triangle is 8 m longer than its height. If the area of the triangle is 330 m<sup>2<\/sup>, what are its base and height measurements?<\/li>\n<\/ol>\n<p><a href=\"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/back-matter\/midterm-3-prep-answer-key\/\">Midterm 3: Prep Questions Answer Key<\/a><\/p>\n<h1 id=\"midterma\"><\/h1>\n","protected":false},"parent":0,"menu_order":14,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-397","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/397","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":5,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/397\/revisions"}],"predecessor-version":[{"id":3662,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/pressbooks\/v2\/parts\/397\/revisions\/3662"}],"wp:attachment":[{"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/media?parent=397"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/contributor?post=397"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/pressbooks.bccampus.ca\/intermediatealgebrakpu\/wp-json\/wp\/v2\/license?post=397"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}