{"id":1309,"date":"2021-12-02T19:37:25","date_gmt":"2021-12-03T00:37:25","guid":{"rendered":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/part\/midterm-one-preparation\/"},"modified":"2023-08-30T12:58:43","modified_gmt":"2023-08-30T16:58:43","slug":"midterm-one-preparation","status":"publish","type":"part","link":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/part\/midterm-one-preparation\/","title":{"raw":"Midterm 1 Preparation","rendered":"Midterm 1 Preparation"},"content":{"raw":"This chapter contains several sections that will help you prepare for the midterm exam:\r\n<table class=\"aligncenter\" style=\"border-collapse: collapse; width: 69.6947%; height: 129px;\" border=\"0\">\r\n<tbody>\r\n<tr style=\"height: 129px;\">\r\n<td style=\"width: 80%; height: 129px;\"><a href=\"#composition\">Midterm 1 Composition<\/a>\r\n<a href=\"#reviewquestions\">Midterm 1 Review<\/a>\r\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-a\/\">Midterm Sample A<\/a>\r\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-b\/\">Midterm Sample B<\/a>\r\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-c\/\">Midterm Sample C<\/a>\r\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-d\/\">Midterm Sample D<\/a>\r\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-e\/\">Midterm Sample E<\/a><\/td>\r\n<\/tr>\r\n<\/tbody>\r\n<\/table>\r\n<h1 id=\"composition\">Midterm One: Composition<\/h1>\r\nThe first midterm will be composed of fifteen questions covering chapters 1 to 4.\r\n\r\nTwelve 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 1: Algebra Review and Chapter 2: Linear Equations<\/strong>\r\n<ul>\r\n \t<li>1.1 Integers<\/li>\r\n \t<li>1.2 Fractions<\/li>\r\n \t<li>1.3 Order of Operations<\/li>\r\n \t<li>1.4 Properties of Algebra<\/li>\r\n \t<li>1.5 Terms and Definitions<\/li>\r\n \t<li>2.1 Elementary Linear Equations<\/li>\r\n \t<li>2.2 Solving Linear Equations<\/li>\r\n \t<li>2.3 Intermediate Linear Equations<\/li>\r\n \t<li>2.4 Fractional Linear Equations<\/li>\r\n \t<li>2.5 Absolute Value Equations<\/li>\r\n \t<li>2.6 Working with Formulas<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Questions 5\u20138 will be drawn from Chapter 3: Graphing<\/strong>\r\n<ul>\r\n \t<li>3.1 Points and Coordinates<\/li>\r\n \t<li>3.2 Midpoint and Distance Between Points<\/li>\r\n \t<li>3.3 Slopes and Their Graphs<\/li>\r\n \t<li>3.4 Graphing Linear Equations<\/li>\r\n \t<li>3.5 Constructing Linear Equations<\/li>\r\n \t<li>3.6 Perpendicular and Parallel Lines<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li><strong>Questions 9\u201312 will be drawn from Chapter 4: Inequalities<\/strong>\r\n<ul>\r\n \t<li>4.1 Solve and Graph Linear Inequalities<\/li>\r\n \t<li>4.2 Compound Inequalities<\/li>\r\n \t<li>4.3 Linear Absolute Value Inequalities<\/li>\r\n \t<li>4.4 2D Inequality and Absolute Value Graphs<\/li>\r\n<\/ul>\r\n<\/li>\r\n \t<li>\r\n<p class=\"p6\"><b>Questions 13\u201315 will be drawn from:<\/b><\/p>\r\n\r\n<ul>\r\n \t<li>1.6 Unit Conversion Word Problems<\/li>\r\n \t<li>2.7 Variation Word Problems<\/li>\r\n \t<li>3.7 Numeric Word Problems<\/li>\r\n \t<li>4.5 Geometric Word Problems<\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<p class=\"p10\">Students will be allowed to use MATQ 1099 Data Booklets for both Midterms and Final Exam.<\/p>\r\n\r\n<h1 id=\"reviewquestions\">Midterm One Review Questions<\/h1>\r\n<b>Questions 1\u201312 are for review only and will not show up on exams.<\/b>\r\n<ol class=\"twocolumn\">\r\n \t<li>[latex]\\dfrac{0}{5} = 0[\/latex] (true or false)<\/li>\r\n \t<li>[latex](-5 + 4) \\div 0[\/latex]<\/li>\r\n \t<li>[latex]-3 (-5)[\/latex]<\/li>\r\n \t<li>[latex]12 \\div 3 \\cdot 4[\/latex]<\/li>\r\n \t<li>[latex]24 \\div (6 \\div 3)[\/latex]<\/li>\r\n \t<li>[latex]5 ( 2 + 3 ) - ( 2 \\cdot 3 )[\/latex]<\/li>\r\n \t<li>[latex]3 ( 3 + 4) = 3 \\cdot 3 + 3 \\cdot 4[\/latex] (true or false)<\/li>\r\n \t<li>[latex]2 \\cdot \\sqrt{9} \\cdot (-3) [\/latex]<\/li>\r\n \t<li>[latex]| 21 + -3| [\/latex]<\/li>\r\n \t<li>\u00a0[latex]- (4)^2 [\/latex]<\/li>\r\n \t<li>[latex](-4)^2[\/latex]<\/li>\r\n \t<li>[latex]- 4^2[\/latex]<\/li>\r\n<\/ol>\r\n<b>Questions similar to 13\u201320 will show up on exams.<\/b>\r\n<ol start=\"13\">\r\n \t<li>Evaluate: [latex]-b \\sqrt{b^2 - 4ac}[\/latex] if [latex]a=8,[\/latex] [latex]b=-6,[\/latex] and [latex]c=-2[\/latex].<\/li>\r\n<\/ol>\r\n<h2>Chapter 2: Linear Equations (Exam Type Questions)<\/h2>\r\n<ol start=\"14\">\r\n \t<li>Solve for [latex]x[\/latex] in the equation [latex]3(x- 4) - 27 = 7 - 5(x + 6)[\/latex].<\/li>\r\n \t<li>Isolate the variable [latex]R[\/latex] in the following equation: [latex]\\dfrac{1}{R} = \\dfrac{1}{r_1}+\\dfrac{1}{r_2}[\/latex]<\/li>\r\n \t<li>Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x+3}{8} - \\dfrac{3}{4} = \\dfrac{x+6}{10}[\/latex]<\/li>\r\n<\/ol>\r\n<h2 style=\"text-align: left;\">Chapter 3: Graphing (Exam Type Questions)<\/h2>\r\n<ol start=\"17\">\r\n \t<li>Find the equation of the horizontal line that passes through the point [latex](-2, 5).[\/latex]<\/li>\r\n \t<li>Find the equation that has a slope of [latex]\\dfrac{2}{3}[\/latex] and passes through the point [latex](-1, 2).[\/latex]<\/li>\r\n \t<li>Find the equation of the line passing through the points [latex](-2, -1)[\/latex] and [latex](2, 11).[\/latex]<\/li>\r\n \t<li>Graph the relation [latex]y=\\dfrac{2}{3}x - 1[\/latex].<\/li>\r\n \t<li>Find the distance between the data points [latex](7, -3)[\/latex] and [latex](15, 3).[\/latex]<\/li>\r\n \t<li>Find the midpoint between the data points [latex](7, -3)[\/latex] and [latex](15, 3).[\/latex]<\/li>\r\n<\/ol>\r\n<h2>Chapter 4: Inequalities (Exam Type Questions)<\/h2>\r\n<b>Questions 23\u201326 are for review only and will not show up on exams.<\/b>\r\n<ol start=\"23\">\r\n \t<li>0 is a whole number (true or false)<\/li>\r\n \t<li>The elements of the set of integers are elements of the set of rational numbers (true or false)<\/li>\r\n \t<li>If [latex]A = \\{r,s\\}, B = \\{s, t\\}[\/latex] and [latex]C = \\{r, t, w\\},[\/latex] then [latex]A \\cup (B \\cap C)[\/latex] equals what?<\/li>\r\n \t<li>[latex]-8 &lt; 2 &lt; 3[\/latex] (true or false)<\/li>\r\n<\/ol>\r\n<b>Questions similar to 27\u201337 will show up on exams.<\/b>\r\n\r\nFor questions 27 to 30, find each solution set and graph it.\r\n<ol start=\"27\">\r\n \t<li>[latex]3x - 6(1 + 6x)[\/latex] &gt; [latex]60[\/latex]<\/li>\r\n \t<li>[latex]-18 \\le 4x - 6 \\le 2[\/latex]<\/li>\r\n \t<li>[latex]| 2x - 1|[\/latex] &gt; [latex]7[\/latex]<\/li>\r\n \t<li>[latex]\\left| \\dfrac{3x - 4}{5}\\right| &lt; 1[\/latex]<\/li>\r\n \t<li>[latex]3x - 2y &lt; 10[\/latex]<\/li>\r\n \t<li>Graph [latex]y=| x-1| -2 [\/latex].<\/li>\r\n<\/ol>\r\n<h2>Chapter 1\u20133 Word Problems (Exam Type Questions)<\/h2>\r\n<ol start=\"33\">\r\n \t<li>Find two numbers such that 6 times the larger number plus 2 times the smaller is 38, and 4 times the larger minus twice the smaller is 12.<\/li>\r\n \t<li>Karl is going to cut a 36 cm cable into 2 pieces. If the first piece is to be 5 times as long as the second piece, find the length of each piece<b>.<\/b><\/li>\r\n \t<li>Kyra gave her brother Mark a logic question to solve: if she has 14 coins in her pocket worth [latex]\\$2.60,[\/latex] and if the coins are only dimes and quarters, how many of each kind of coin does she have?<\/li>\r\n \t<li>Find two consecutive even integers such that their sum is 10 less than the first integer.<\/li>\r\n \t<li>[latex]y[\/latex] varies jointly with [latex]m[\/latex] and the square of [latex]n[\/latex] and inversely with [latex]d.[\/latex] If [latex]y = 12[\/latex] when [latex]m = 3,[\/latex] [latex]n = 4,[\/latex] and [latex]d = 8,[\/latex] find the constant [latex]k,[\/latex] then use [latex]k[\/latex] to find [latex]y[\/latex] when [latex]m = -3,[\/latex] [latex]n = 3,[\/latex] and [latex]d = 6.[\/latex]<\/li>\r\n<\/ol>\r\n<a class=\"internal\" href=\"\/\/back-matter\/mid-term-1-prep-answer-key\/\">Midterm 1: Practice Questions Answer Key<\/a>\r\n\r\n<!--VERSION A-->","rendered":"<p>This chapter contains several sections that will help you prepare for the midterm exam:<\/p>\n<table class=\"aligncenter\" style=\"border-collapse: collapse; width: 69.6947%; height: 129px;\">\n<tbody>\n<tr style=\"height: 129px;\">\n<td style=\"width: 80%; height: 129px;\"><a href=\"#composition\">Midterm 1 Composition<\/a><br \/>\n<a href=\"#reviewquestions\">Midterm 1 Review<\/a><br \/>\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-a\/\">Midterm Sample A<\/a><br \/>\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-b\/\">Midterm Sample B<\/a><br \/>\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-c\/\">Midterm Sample C<\/a><br \/>\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-d\/\">Midterm Sample D<\/a><br \/>\n<a href=\"\/intermediatealgebraberg\/chapter\/midterm-one-version-e\/\">Midterm Sample E<\/a><\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<h1 id=\"composition\">Midterm One: Composition<\/h1>\n<p>The first midterm will be composed of fifteen questions covering chapters 1 to 4.<\/p>\n<p>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 1: Algebra Review and Chapter 2: Linear Equations<\/strong>\n<ul>\n<li>1.1 Integers<\/li>\n<li>1.2 Fractions<\/li>\n<li>1.3 Order of Operations<\/li>\n<li>1.4 Properties of Algebra<\/li>\n<li>1.5 Terms and Definitions<\/li>\n<li>2.1 Elementary Linear Equations<\/li>\n<li>2.2 Solving Linear Equations<\/li>\n<li>2.3 Intermediate Linear Equations<\/li>\n<li>2.4 Fractional Linear Equations<\/li>\n<li>2.5 Absolute Value Equations<\/li>\n<li>2.6 Working with Formulas<\/li>\n<\/ul>\n<\/li>\n<li><strong>Questions 5\u20138 will be drawn from Chapter 3: Graphing<\/strong>\n<ul>\n<li>3.1 Points and Coordinates<\/li>\n<li>3.2 Midpoint and Distance Between Points<\/li>\n<li>3.3 Slopes and Their Graphs<\/li>\n<li>3.4 Graphing Linear Equations<\/li>\n<li>3.5 Constructing Linear Equations<\/li>\n<li>3.6 Perpendicular and Parallel Lines<\/li>\n<\/ul>\n<\/li>\n<li><strong>Questions 9\u201312 will be drawn from Chapter 4: Inequalities<\/strong>\n<ul>\n<li>4.1 Solve and Graph Linear Inequalities<\/li>\n<li>4.2 Compound Inequalities<\/li>\n<li>4.3 Linear Absolute Value Inequalities<\/li>\n<li>4.4 2D Inequality and Absolute Value Graphs<\/li>\n<\/ul>\n<\/li>\n<li>\n<p class=\"p6\"><b>Questions 13\u201315 will be drawn from:<\/b><\/p>\n<ul>\n<li>1.6 Unit Conversion Word Problems<\/li>\n<li>2.7 Variation Word Problems<\/li>\n<li>3.7 Numeric Word Problems<\/li>\n<li>4.5 Geometric Word Problems<\/li>\n<\/ul>\n<\/li>\n<\/ul>\n<p class=\"p10\">Students will be allowed to use MATQ 1099 Data Booklets for both Midterms and Final Exam.<\/p>\n<h1 id=\"reviewquestions\">Midterm One Review Questions<\/h1>\n<p><b>Questions 1\u201312 are for review only and will not show up on exams.<\/b><\/p>\n<ol class=\"twocolumn\">\n<li>[latex]\\dfrac{0}{5} = 0[\/latex] (true or false)<\/li>\n<li>[latex](-5 + 4) \\div 0[\/latex]<\/li>\n<li>[latex]-3 (-5)[\/latex]<\/li>\n<li>[latex]12 \\div 3 \\cdot 4[\/latex]<\/li>\n<li>[latex]24 \\div (6 \\div 3)[\/latex]<\/li>\n<li>[latex]5 ( 2 + 3 ) - ( 2 \\cdot 3 )[\/latex]<\/li>\n<li>[latex]3 ( 3 + 4) = 3 \\cdot 3 + 3 \\cdot 4[\/latex] (true or false)<\/li>\n<li>[latex]2 \\cdot \\sqrt{9} \\cdot (-3)[\/latex]<\/li>\n<li>[latex]| 21 + -3|[\/latex]<\/li>\n<li>\u00a0[latex]- (4)^2[\/latex]<\/li>\n<li>[latex](-4)^2[\/latex]<\/li>\n<li>[latex]- 4^2[\/latex]<\/li>\n<\/ol>\n<p><b>Questions similar to 13\u201320 will show up on exams.<\/b><\/p>\n<ol start=\"13\">\n<li>Evaluate: [latex]-b \\sqrt{b^2 - 4ac}[\/latex] if [latex]a=8,[\/latex] [latex]b=-6,[\/latex] and [latex]c=-2[\/latex].<\/li>\n<\/ol>\n<h2>Chapter 2: Linear Equations (Exam Type Questions)<\/h2>\n<ol start=\"14\">\n<li>Solve for [latex]x[\/latex] in the equation [latex]3(x- 4) - 27 = 7 - 5(x + 6)[\/latex].<\/li>\n<li>Isolate the variable [latex]R[\/latex] in the following equation: [latex]\\dfrac{1}{R} = \\dfrac{1}{r_1}+\\dfrac{1}{r_2}[\/latex]<\/li>\n<li>Solve for [latex]x[\/latex] in the equation [latex]\\dfrac{x+3}{8} - \\dfrac{3}{4} = \\dfrac{x+6}{10}[\/latex]<\/li>\n<\/ol>\n<h2 style=\"text-align: left;\">Chapter 3: Graphing (Exam Type Questions)<\/h2>\n<ol start=\"17\">\n<li>Find the equation of the horizontal line that passes through the point [latex](-2, 5).[\/latex]<\/li>\n<li>Find the equation that has a slope of [latex]\\dfrac{2}{3}[\/latex] and passes through the point [latex](-1, 2).[\/latex]<\/li>\n<li>Find the equation of the line passing through the points [latex](-2, -1)[\/latex] and [latex](2, 11).[\/latex]<\/li>\n<li>Graph the relation [latex]y=\\dfrac{2}{3}x - 1[\/latex].<\/li>\n<li>Find the distance between the data points [latex](7, -3)[\/latex] and [latex](15, 3).[\/latex]<\/li>\n<li>Find the midpoint between the data points [latex](7, -3)[\/latex] and [latex](15, 3).[\/latex]<\/li>\n<\/ol>\n<h2>Chapter 4: Inequalities (Exam Type Questions)<\/h2>\n<p><b>Questions 23\u201326 are for review only and will not show up on exams.<\/b><\/p>\n<ol start=\"23\">\n<li>0 is a whole number (true or false)<\/li>\n<li>The elements of the set of integers are elements of the set of rational numbers (true or false)<\/li>\n<li>If [latex]A = \\{r,s\\}, B = \\{s, t\\}[\/latex] and [latex]C = \\{r, t, w\\},[\/latex] then [latex]A \\cup (B \\cap C)[\/latex] equals what?<\/li>\n<li>[latex]-8 < 2 < 3[\/latex] (true or false)<\/li>\n<\/ol>\n<p><b>Questions similar to 27\u201337 will show up on exams.<\/b><\/p>\n<p>For questions 27 to 30, find each solution set and graph it.<\/p>\n<ol start=\"27\">\n<li>[latex]3x - 6(1 + 6x)[\/latex] &gt; [latex]60[\/latex]<\/li>\n<li>[latex]-18 \\le 4x - 6 \\le 2[\/latex]<\/li>\n<li>[latex]| 2x - 1|[\/latex] &gt; [latex]7[\/latex]<\/li>\n<li>[latex]\\left| \\dfrac{3x - 4}{5}\\right| < 1[\/latex]<\/li>\n<li>[latex]3x - 2y < 10[\/latex]<\/li>\n<li>Graph [latex]y=| x-1| -2[\/latex].<\/li>\n<\/ol>\n<h2>Chapter 1\u20133 Word Problems (Exam Type Questions)<\/h2>\n<ol start=\"33\">\n<li>Find two numbers such that 6 times the larger number plus 2 times the smaller is 38, and 4 times the larger minus twice the smaller is 12.<\/li>\n<li>Karl is going to cut a 36 cm cable into 2 pieces. If the first piece is to be 5 times as long as the second piece, find the length of each piece<b>.<\/b><\/li>\n<li>Kyra gave her brother Mark a logic question to solve: if she has 14 coins in her pocket worth [latex]\\$2.60,[\/latex] and if the coins are only dimes and quarters, how many of each kind of coin does she have?<\/li>\n<li>Find two consecutive even integers such that their sum is 10 less than the first integer.<\/li>\n<li>[latex]y[\/latex] varies jointly with [latex]m[\/latex] and the square of [latex]n[\/latex] and inversely with [latex]d.[\/latex] If [latex]y = 12[\/latex] when [latex]m = 3,[\/latex] [latex]n = 4,[\/latex] and [latex]d = 8,[\/latex] find the constant [latex]k,[\/latex] then use [latex]k[\/latex] to find [latex]y[\/latex] when [latex]m = -3,[\/latex] [latex]n = 3,[\/latex] and [latex]d = 6.[\/latex]<\/li>\n<\/ol>\n<p><a class=\"internal\" href=\"\/\/back-matter\/mid-term-1-prep-answer-key\/\">Midterm 1: Practice Questions Answer Key<\/a><\/p>\n<p><!--VERSION A --><\/p>\n","protected":false},"parent":0,"menu_order":7,"template":"","meta":{"pb_part_invisible":false,"pb_part_invisible_string":""},"contributor":[],"license":[],"class_list":["post-1309","part","type-part","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1309","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts"}],"about":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/types\/part"}],"version-history":[{"count":2,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1309\/revisions"}],"predecessor-version":[{"id":2097,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/pressbooks\/v2\/parts\/1309\/revisions\/2097"}],"wp:attachment":[{"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/media?parent=1309"}],"wp:term":[{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/contributor?post=1309"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/opentextbc.ca\/intermediatealgebraberg\/wp-json\/wp\/v2\/license?post=1309"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}