Student Solutions Manual for Developmental Mathematics

<p><strong>Preface</strong></p> <p><strong>CHAPTER 1 Whole Numbers</strong></p> <p><strong>1.1 </strong>Reading and Writing Whole Numbers</p> <p><strong>1.2 </strong>Adding Whole Numbers</p> <p><strong>1.3 </strong>Subtracting Whole Numbers</p> <p><strong>1.4 </strong>Multiplying Whole Numbers</p> <p><strong>1.5 </strong>Dividing Whole Numbers</p> <p><strong>1.6 </strong>Long Division</p> <p><strong>1.7 </strong>Rounding Whole Numbers</p> <p><strong>1.8 </strong>Exponents, Roots, and Order of Operations</p> <p><strong>1.9 </strong>Reading Pictographs, Bar Graphs, and Line Graphs</p> <p><strong>1.10 </strong>Solving Application Problems</p> <p><strong>CHAPTER 2 Multiplying and Dividing Fractions</strong></p> <p><strong>2.1 </strong>Basics of Fractions</p> <p><strong>2.2 </strong>Mixed Numbers</p> <p><strong>2.3 </strong>Factors</p> <p><strong>2.4 </strong>Writing a Fraction in Lowest Terms</p> <p><strong>2.5 </strong>Multiplying Fractions</p> <p><strong>2.6 </strong>Applications of Multiplication</p> <p><strong>2.7 </strong>Dividing Fractions</p> <p><strong>2.8 </strong>Multiplying and Dividing Mixed Numbers</p> <p><strong>CHAPTER 3 Adding and Subtracting Fractions</strong></p> <p><strong>3.1 </strong>Adding and Subtracting Like Fractions</p> <p><strong>3.2 </strong>Least Common Multiples</p> <p><strong>3.3 </strong>Adding and Subtracting Unlike Fractions</p> <p><strong>3.4 </strong>Adding and Subtracting Mixed Numbers</p> <p><strong>3.5 </strong>Order Relations and the Order of Operations</p> <p><strong>CHAPTER 4 Decimals</strong></p> <p><strong>4.1 </strong>Reading and Writing Decimal Numbers</p> <p><strong>4.2 </strong>Rounding Decimal Numbers</p> <p><strong>4.3 </strong>Adding and Subtracting Decimal Numbers</p> <p><strong>4.4 </strong>Multiplying Decimal Numbers</p> <p><strong>4.5 </strong>Dividing Decimal Numbers</p> <p><strong>4.6 </strong>Fractions and Decimals</p> <p><strong>CHAPTER 5 Ratio and Proportion</strong></p> <p><strong>5.1 </strong>Ratios</p> <p><strong>5.2 </strong>Rates</p> <p><strong>5.3 </strong>Proportions</p> <p><strong>5.4 </strong>Solving Proportions</p> <p><strong>5.5 </strong>Solving Application Problems with Proportions</p> <p><strong>CHAPTER 6 Percent</strong></p> <p><strong>6.1 </strong>Basics of Percent</p> <p><strong>6.2 </strong>Percents and Fractions</p> <p><strong>6.3 </strong>Using the Percent Proportion and Identifying the Components in a Percent Problem</p> <p><strong>6.4 </strong>Using Proportions to Solve Percent Problems</p> <p><strong>6.5 </strong>Using the Percent Equation</p> <p><strong>6.6 </strong>Solving Application Problems with Percent</p> <p><strong>6.7 </strong>Simple Interest</p> <p><strong>6.8 </strong>Compound Interest</p> <p><strong>CHAPTER 7 Geometry</strong></p> <p><strong>8.1 </strong>Basic Geometric Terms</p> <p><strong>8.2 </strong>Angles and Their Relationships</p> <p><strong>8.3 </strong>Rectangles and Squares</p> <p><strong>8.4 </strong>Parallelograms and Trapezoids</p> <p><strong>8.5 </strong>Triangles</p> <p><strong>8.6 </strong>Circles</p> <p><strong>8.7 </strong>Volume</p> <p><strong>8.8 </strong>Pythagorean Theorem</p> <p><strong>8.9 </strong>Similar Triangles</p> <p><strong>CHAPTER 8 Statistics</strong></p> <p><strong>8.1 </strong>Circle Graphs</p> <p><strong>8.2 </strong>Bar Graphs and Line Graphs</p> <p><strong>8.3 </strong>Frequency Distributions and Histograms</p> <p><strong>8.4 </strong>Mean, Median, and Mode</p> <p><strong>CHAPTER 9 The Real Number System</strong></p> <p><strong>9.1 </strong>Exponents, Order of Operations, and Inequality</p> <p><strong>9.2 </strong>Variables, Expressions, and Equations</p> <p><strong>9.3 </strong>Real Numbers and the Number Line</p> <p><strong>9.4 </strong>Adding Real Numbers</p> <p><strong>9.5 </strong>Subtracting Real Numbers</p> <p><strong>9.6 </strong>Multiplying and Dividing Real Numbers</p> <p><strong>9.7 </strong>Properties of Real Numbers</p> <p><strong>9.8 </strong>Simplifying Expressions</p> <p><strong>CHAPTER 10 Equations, Inequalities, and Applications <br>10.1 </strong>The Addition Property of Equality</p> <p><strong>10.2 </strong>The Multiplication Property of Equality</p> <p><strong>10.3 </strong>More on Solving Linear Equations</p> <p><strong>10.4 </strong>An Introduction to Applications of Linear Equations</p> <p><strong>10.5 </strong>Formulas and Additional Applications from Geometry</p> <p><strong>10.6 </strong>Solving Linear Inequalities</p> <p><strong>CHAPTER 11 Graphs of Linear Equations and Inequalities in Two Variables</strong></p> <p><strong>11.1 </strong>Linear Equations and Rectangular Coordinates</p> <p><strong>11.2 </strong>Graphing Linear Equations in Two Variables</p> <p><strong>11.3 </strong>The Slope of a Line</p> <p><strong>11.4 </strong>Slope-Intercept Form of a Linear Equation</p> <p><strong>11.5 </strong>Point-Slope Form of a Linear Equation and Modeling</p> <p><strong>11.6 </strong>Graphing Linear Inequalities in Two Variables</p> <p><strong>CHAPTER 12 Exponents and Polynomials</strong></p> <p><strong>12.1 </strong>The Product Rule and Power Rules for Exponents</p> <p><strong>12.2 </strong>Integer Exponents and the Quotient Rule</p> <p><strong>12.3 </strong>An Application of Exponents: Scientific Notation</p> <p><strong>12.4 </strong>Adding and Subtracting Polynomials</p> <p><strong>12.5 </strong>Multiplying Polynomials</p> <p><strong>12.6 </strong>Special Products</p> <p><strong>12.7 </strong>Dividing a Polynomial by a Monomial</p> <p><strong>12.8 </strong>Dividing a Polynomial by a Polynomial</p> <p><strong>CHAPTER 13 Factoring and Applications</strong></p> <p><strong>13.1 </strong>Greatest Common Factors; Factor by Grouping</p> <p><strong>13.2 </strong>Factoring Trinomials</p> <p><strong>13.3 </strong>Factoring Trinomials by Grouping</p> <p><strong>13.4 </strong>Factoring Trinomials Using the FOIL Method</p> <p><strong>13.5 </strong>Special Factoring Techniques</p> <p><strong>13.6 </strong>Solving Quadratic Equations Using the Zero-Factor Property</p> <p><strong>13.7 </strong>Applications of Quadratic Equations</p> <p><strong>CHAPTER 14 Rational Expressions and Applications</strong></p> <p><strong>14.1 </strong>The Fundamental Property of Rational Expressions</p> <p><strong>14.2 </strong>Multiplying and Dividing Rational Expressions</p> <p><strong>14.3 </strong>Least Common Denominators</p> <p><strong>14.4 </strong>Adding and Subtracting Rational Expressions</p> <p><strong>14.5 </strong>Complex Fractions</p> <p><strong>14.6 </strong>Solving Equations with Rational Expressions</p> <p><strong>14.7 </strong>Applications of Rational Expressions</p> <p><strong>14.8 </strong>Variation</p> <p><strong>CHAPTER 15 Systems of Linear Equations and Inequalities</strong></p> <p><strong>15.1 </strong>Solving Systems of Linear Equations by Graphing</p> <p><strong>15.2 </strong>Solving Systems of Linear Equations by Substitution</p> <p><strong>15.3 </strong>Solving Systems of Linear Equations by Elimination</p>