Student Solutions Manual for Beginning Algebra

<ul> <li>Study Skill 1: Using Your Math Text</li> <li>Study Skill 2: Reading Your Math Text</li> <li>Study Skill 3: Taking Lecture Notes</li> <li>Study Skill 4: Completing Your Homework</li> <li>Study Skill 5: Using Study Cards</li> <li>Study Skill 6: Managing Your Time</li> <li>Study Skill 7: Reviewing a Chapter</li> <li>Study Skill 8: Taking Math Tests</li> <li>Study Skill 9: Analyzing Your Test Results</li> <li>Study Skill 10: Preparing for Your Math Final</li> </ul> <ol> <li><strong>Prealgebra Review</strong> <ul> <li>R.1 Fractions</li> <li>R.2 Decimals and Percents</li> </ul></li> <li><strong>The Real Number System</strong> <ul> <li>1.1 Exponents, Order of Operations, and Inequality</li> <li>1.2 Variables, Expressions, and Equations</li> <li>1.3 Real Numbers and the Number Line</li> <li>1.4 Adding and Subtracting Real Numbers</li> <li>1.5 Multiplying and Dividing Real Numbers <ul> <li>Summary Exercises: Performing Operations with Real Numbers</li> </ul></li> <li>1.6 Properties of Real Numbers</li> <li>1.7 Simplifying Expressions</li> <li>Chapter 1 Summary</li> <li>Chapter 1 Review Exercises</li> <li>Chapter 1 Mixed Review Exercises</li> <li>Chapter 1 Test</li> <li>Chapters R and 1 Cumulative Review Exercises</li> </ul></li> <li><strong>Linear Equations and Inequalities in One Variable</strong> <ul> <li>2.1 The Addition Property of Equality</li> <li>2.2 The Multiplication Property of Equality</li> <li>2.3 Solving Linear Equations Using Both Properties of Equality</li> <li>2.4 Clearing Fractions and Decimals When Solving Linear Equations <ul> <li>Summary Exercises: Applying Methods for Solving Linear Equations</li> </ul></li> <li>2.5 Applications of Linear Equations</li> <li>2.6 Formulas and Additional Applications from Geometry</li> <li>2.7 Ratio, Proportion, and Percent</li> <li>2.8 Further Applications of Linear Equations</li> <li>2.9 Solving Linear Inequalities</li> <li>Chapter 2 Summary</li> <li>Chapter 2 Review Exercises</li> <li>Chapter 2 Mixed Review Exercises</li> <li>Chapter 2 Test</li> <li>Chapters R—2 Cumulative Review Exercises</li> </ul></li> <li><strong>Linear Equations and Inequalities in Two Variables; Functions</strong> <ul> <li>3.1 Linear Equations and Rectangular Coordinates</li> <li>3.2 Graphing Linear Equations in Two Variables</li> <li>3.3 The Slope of a Line</li> <li>3.4 Slope-Intercept Form of a Linear Equation</li> <li>3.5 Point-Slope Form of a Linear Equation and Modeling <ul> <li>Summary Exercises: Applying Graphing and Equation-Writing Techniques for Lines</li> </ul></li> <li>3.6 Graphing Linear Inequalities in Two Variables</li> <li>3.7 Introduction to Functions</li> <li>Chapter 3 Summary</li> <li>Chapter 3 Review Exercises</li> <li>Chapter 3 Mixed Review Exercises</li> <li>Chapter 3 Test</li> <li>Chapters R—3 Cumulative Review Exercises</li> </ul></li> <li><strong>Systems of Linear Equations and Inequalities</strong> <ul> <li>4.1 Solving Systems of Linear Equations by Graphing</li> <li>4.2 Solving Systems of Linear Equations by Substitution</li> <li>4.3 Solving Systems of Linear Equations by Elimination <ul> <li>Summary Exercises: Applying Techniques for Solving Systems of Linear Equations</li> </ul></li> <li>4.4 Applications of Linear Systems</li> <li>4.5 Solving Systems of Linear Inequalities</li> <li>Chapter 4 Summary</li> <li>Chapter 4 Review Exercises</li> <li>Chapter 4 Mixed Review Exercises</li> <li>Chapter 4 Test</li> <li>Chapters R—4 Cumulative Review Exercises</li> </ul></li> <li><strong>Exponents and Polynomials</strong> <ul> <li>5.1 The Product Rule and Power Rules for Exponents</li> <li>5.2 Integer Exponents and the Quotient Rule</li> <li>5.3 Scientific Notation</li> <li>5.4 Adding, Subtracting, and Graphing Polynomials</li> <li>5.5 Multiplying Polynomials</li> <li>5.6 Special Products</li> <li>5.7 Dividing Polynomials</li> <li>Chapter 5 Summary</li> <li>Chapter 5 Review Exercises</li> <li>Chapter 5 Mixed Review Exercises</li> <li>Chapter 5 Test</li> <li>Chapters R—5 Cumulative Review Exercises</li> </ul></li> <li><strong>Factoring and Applications</strong> <ul> <li>6.1 The Greatest Common Factors; Factoring by Grouping</li> <li>6.2 Factoring Trinomials</li> <li>6.3 More on Factoring Trinomials</li> <li>6.4 Special Factoring Techniques <ul> <li>Summary Exercises: Recognizing and Applying Factoring Strategies</li> </ul></li> <li>6.5 Solving Quadratic Equations Using the Zero-Factor Property</li> <li>6.6 Applications of Quadratic Equations</li> <li>Chapter 6 Summary</li> <li>Chapter 6 Review Exercises</li> <li>Chapter 6 Mixed Review Exercises</li> <li>Chapter 6 Test</li> <li>Chapters R—6 Cumulative Review Exercises</li> </ul></li> <li><strong>Rational Expressions and Applications</strong> <ul> <li>7.1 The Fundamental Property of Rational Expressions</li> <li>7.2 Multiplying and Dividing Rational Expressions</li> <li>7.3 Least Common Denominators</li> <li>7.4 Adding and Subtracting Rational Expressions</li> <li>7.5 Complex Fractions</li> <li>7.6 Solving Equations with Rational Expressions <ul> <li>Summary Exercises: Simplifying Rational Expressions vs. Solving Rational Equations</li> </ul></li> <li>7.7 Applications of Rational Expressions</li> <li>7.8 Variation</li> <li>Chapter 7 Summary</li> <li>Chapter 7 Review Exercises</li> <li>Chapter 7 Mixed Review Exercises</li> <li>Chapter 7 Test</li> <li>Chapters R—7 Cumulative Review Exercises</li> </ul></li> <li><strong>Roots and Radicals</strong> <ul> <li>8.1 Evaluating Roots</li> <li>8.2 Multiplying, Dividing, and Simplifying Radicals</li> <li>8.3 Adding and Subtracting Radicals</li> <li>8.4 Rationalizing the Denominator</li> <li>8.5 More Simplifying and Operations with Radicals <ul> <li>Summary Exercises: Applying Operations with Radicals</li> </ul></li> <li>8.6 Solving Equations with Radicals</li> <li>Chapter 8 Summary</li> <li>Chapter 8 Review Exercises</li> <li>Chapter 8 Mixed Review Exercises</li> <li>Chapter 8 Test</li> <li>Chapters R—8 Cumulative Review Exercises</li> </ul></li> <li><strong>Quadratic Equations</strong> <ul> <li>9.1 Solving Quadratic Equations by the Square Root Property</li> <li>9.2 Solving Quadratic Equations by Completing the Square</li> <li>9.3 Solving Quadratic Equations by the Quadratic Formula <ul> <li>Summary Exercises: Applying Methods for Solving Quadratic Equations</li> </ul></li> <li>9.4 Graphing Quadratic Equations</li> <li>Chapter 9 Summary</li> <li>Chapter 9 Review Exercises</li> <li>Chapter 9 Mixed Review Exercises</li> <li>Chapter 9 Test</li> <li>Chapters R—9 Cumulative Review Exercises</li> </ul></li> </ol> <p>Answers to Selected Exercises</p> <p>Index</p> <ul> <li>Additional topics available in MyLabTM Math: Using Rational Numbers as Exponents; Complex Numbers; Sets; Introduction to Calculators</li> </ul>