| |
| |
| Preface | |
| |
| |
| |
| Foundations: Getting Ready for Algebra | |
| |
| |
| |
| Operations on Real Numbers and Algebraic Expressions | |
| |
| |
| |
| Success in Mathematics | |
| |
| |
| |
| The Number Systems and the Real Number Line | |
| |
| |
| |
| Adding, Subtracting, Multiplying, and Dividing Integers | |
| |
| |
| |
| Adding, Subtracting, Multiplying, and Dividing Rational Numbers Expressed as Fractions and Decimals | |
| |
| |
| Putting the Concepts Together (Sections 1.2-1.4) | |
| |
| |
| |
| Properties of Real Numbers | |
| |
| |
| |
| Exponents and the Order of Operations | |
| |
| |
| |
| Simplifying Algebraic Expressions | |
| |
| |
| Chapter 1 Activity: The Math Game | |
| |
| |
| Chapter 1 Review | |
| |
| |
| Chapter 1 Test | |
| |
| |
| |
| Developing Algebraic Skills Using One Unknown | |
| |
| |
| |
| Equations and Inequalities in One Variable | |
| |
| |
| |
| Linear Equations: The Addition and Multiplication Properties of Equality | |
| |
| |
| |
| Linear Equations: Using the Properties Together | |
| |
| |
| |
| Solving Linear Equations Involving Fractions and Decimals; Classifying Equations | |
| |
| |
| |
| Evaluating Formulas and Solving Formulas for a Variable | |
| |
| |
| Putting the Concepts Together (Sections 2.1-2.4) | |
| |
| |
| |
| Introduction to Problem Solving: Direct Translation Problems | |
| |
| |
| |
| Problem Solving: Direct Translation Problems Involving Percent | |
| |
| |
| |
| Problem Solving: Geometry and Uniform Motion | |
| |
| |
| |
| Solving Linear Inequalities in One Variable | |
| |
| |
| Chapter 2 Activity: Pass to the Right | |
| |
| |
| Chapter 2 Review | |
| |
| |
| Chapter 2 Test | |
| |
| |
| |
| Exponents and Polynomials | |
| |
| |
| |
| Adding and Subtracting Polynomials | |
| |
| |
| |
| Multiplying Monomials: The Product and Power Rules | |
| |
| |
| |
| Multiplying Polynomials | |
| |
| |
| |
| Dividing Monomials: The Quotient Rule and Integer Exponents | |
| |
| |
| Putting the Concepts Together (Sections 3.1-3.4) | |
| |
| |
| |
| Dividing Polynomials | |
| |
| |
| |
| Applying Exponent Rules: Scientific Notation | |
| |
| |
| Chapter 3 Activity: What Is the Question? | |
| |
| |
| Chapter 3 Review | |
| |
| |
| Chapter 3 Test | |
| |
| |
| Cumulative Review Chapters 1-3 | |
| |
| |
| |
| Factoring Polynomials | |
| |
| |
| |
| Greatest Common Factor and Factoring by Grouping | |
| |
| |
| |
| Factoring Trinomials of the Form x[superscript 2] + bx + c | |
| |
| |
| |
| Factoring Trinomials of the Form ax[superscript 2] + bx + c, a [not equal] 1 | |
| |
| |
| |
| Factoring Special Products | |
| |
| |
| |
| Summary of Factoring Techniques | |
| |
| |
| Putting the Concepts Together (Sections 4.1-4.5) | |
| |
| |
| |
| Solving Polynomial Equations by Factoring | |
| |
| |
| |
| Modeling and Solving Problems with Quadratic Equations | |
| |
| |
| Chapter 4 Activity: Which One Does Not Belong? | |
| |
| |
| Chapter 4 Review | |
| |
| |
| Chapter 4 Test | |
| |
| |
| |
| Rational Expressions and Equations | |
| |
| |
| |
| Simplifying Rational Expressions | |
| |
| |
| |
| Multiplying and Dividing Rational Expressions | |
| |
| |
| |
| Adding and Subtracting Rational Expressions with a Common Denominator | |
| |
| |
| |
| Finding the Least Common Denominator and Forming Equivalent Rational Expressions | |
| |
| |
| |
| Adding and Subtracting Rational Expressions with Unlike Denominators | |
| |
| |
| |
| Complex Rational Expressions | |
| |
| |
| Putting the Concepts Together (Sections 5.1-5.6) | |
| |
| |
| |
| Rational Equations | |
| |
| |
| |
| Models Involving Rational Equations | |
| |
| |
| Chapter 5 Activity: Correct the Quiz | |
| |
| |
| Chapter 5 Review | |
| |
| |
| Chapter 5 Test | |
| |
| |
| Cumulative Review Chapters 1-5 | |
| |
| |
| |
| Roots and Radicals | |
| |
| |
| |
| Introduction to Square Roots | |
| |
| |
| |
| Simplifying Square Roots | |
| |
| |
| |
| Adding and Subtracting Square Roots | |
| |
| |
| |
| Multiplying Expressions with Square Roots | |
| |
| |
| |
| Dividing Expressions with Square Roots | |
| |
| |
| Putting the Concepts Together (Sections 6.1-6.5) | |
| |
| |
| |
| Solving Equations Containing Square Roots | |
| |
| |
| |
| Higher Roots and Rational Exponents | |
| |
| |
| Chapter 6 Activity: Working Together with Radicals | |
| |
| |
| Chapter 6 Review | |
| |
| |
| Chapter 6 Test | |
| |
| |
| |
| Quadratic Equations | |
| |
| |
| |
| Solving Quadratic Equations Using the Square Root Property | |
| |
| |
| |
| Solving Quadratic Equations by Completing the Square | |
| |
| |
| |
| Solving Quadratic Equations Using the Quadratic Formula | |
| |
| |
| Putting the Concepts Together (Sections 7.1-7.3) | |
| |
| |
| |
| Problem Solving Using Quadratic Equations | |
| |
| |
| |
| The Complex Number System | |
| |
| |
| Chapter 7 Activity: The Math Game | |
| |
| |
| Chapter 7 Review | |
| |
| |
| Chapter 7 Test | |
| |
| |
| Cumulative Review Chapters 1-7 | |
| |
| |
| |
| Developing Algebraic Skills Using Two Unknowns | |
| |
| |
| |
| Introduction to Graphing and Equations of Lines | |
| |
| |
| |
| The Rectangular Coordinate System and Equations in Two Variables | |
| |
| |
| |
| Graphing Equations in Two Variables | |
| |
| |
| |
| Slope | |
| |
| |
| |
| Slope-Intercept Form of a Line | |
| |
| |
| |
| Point-Slope Form of a Line | |
| |
| |
| |
| Parallel and Perpendicular Lines | |
| |
| |
| Putting the Concepts Together (Sections 8.1-8.6) | |
| |
| |
| |
| Variation | |
| |
| |
| |
| Linear Inequalities in Two Variables | |
| |
| |
| Chapter 8 Activity: Graphing Practice | |
| |
| |
| Chapter 8 Review | |
| |
| |
| Chapter 8 Test | |
| |
| |
| |
| Systems of Linear Equations and Inequalities | |
| |
| |
| |
| Solving Systems of Linear Equations by Graphing | |
| |
| |
| |
| Solving Systems of Linear Equations Using Substitution | |
| |
| |
| |
| Solving Systems of Linear Equations Using Elimination | |
| |
| |
| Putting the Concepts Together (Sections 9.1-9.3) | |
| |
| |
| |
| Solving Direct Translation, Geometry, and Uniform Motion Problems Using Systems of Linear Equations | |
| |
| |
| |
| Solving Mixture Problems Using Systems of Linear Equations | |
| |
| |
| |
| Systems of Linear Inequalities | |
| |
| |
| Chapter 9 Activity: Find the Numbers | |
| |
| |
| Chapter 9 Review | |
| |
| |
| Chapter 9 Test | |
| |
| |
| Cumulative Review Chapters 1-9 | |
| |
| |
| |
| Graphs of Quadratic Equations in Two Variables and an Introduction to Functions | |
| |
| |
| |
| Quadratic Equations in Two Variables | |
| |
| |
| |
| Relations | |
| |
| |
| Putting the Concepts Together (Sections 10.1-10.2) | |
| |
| |
| |
| An Introduction to Functions | |
| |
| |
| Chapter 10 Activity: Discovering Shifting | |
| |
| |
| Chapter 10 Review | |
| |
| |
| Chapter 10 Test | |
| |
| |
| |
| Fractions, Decimals, and Percents | |
| |
| |
| |
| Table of Square Roots | |
| |
| |
| |
| Geometry Review | |
| |
| |
| Answers to Quick Check Exercises | |
| |
| |
| Answers to Selected Exercises | |
| |
| |
| Applications Index | |
| |
| |
| Subject Index | |
| |
| |
| Photo Credits | |