| |
| |
| Preface | |
| |
| |
| Index of Applications | |
| |
| |
| |
| Review of Real Numbers | |
| |
| |
| |
| Tips for Success in Mathematics | |
| |
| |
| |
| Symbols and Sets of Numbers | |
| |
| |
| |
| Fractions | |
| |
| |
| |
| Introduction to Variable Expressions and Equations | |
| |
| |
| |
| Adding Real Numbers | |
| |
| |
| |
| Subtracting Real Numbers | |
| |
| |
| |
| Multiplying and Dividing Real Numbers | |
| |
| |
| |
| Properties of Real Numbers | |
| |
| |
| |
| Reading Graphs | |
| |
| |
| Chapter 1 Project: Creating and Interpreting Graphs | |
| |
| |
| Chapter 1 Vocabulary Check | |
| |
| |
| Chapter 1 Highlights | |
| |
| |
| Chapter 1 Review | |
| |
| |
| Chapter 1 Test | |
| |
| |
| |
| Equations, Inequalities, and Problem Solving | |
| |
| |
| |
| Simplifying Algebraic Expressions | |
| |
| |
| |
| The Addition and Multiplication Properties of Equality | |
| |
| |
| |
| Solving Linear Equations | |
| |
| |
| |
| An Introduction to Problem Solving | |
| |
| |
| |
| Formulas and Problem Solving | |
| |
| |
| |
| Percent and Problem Solving | |
| |
| |
| |
| Solving Linear Inequalities | |
| |
| |
| Chapter 2 Project: Developing a Budget | |
| |
| |
| Chapter 2 Vocabulary Check | |
| |
| |
| Chapter 2 Highlights | |
| |
| |
| Chapter 2 Review | |
| |
| |
| Chapter 2 Test | |
| |
| |
| Chapter 2 Cumulative Review | |
| |
| |
| |
| Graphs and Functions | |
| |
| |
| |
| The Rectangular Coordinate System | |
| |
| |
| |
| Graphing Equations | |
| |
| |
| |
| Introduction to Functions | |
| |
| |
| |
| Graphing Linear Functions | |
| |
| |
| |
| The Slope of a Line | |
| |
| |
| |
| Equations of Lines | |
| |
| |
| |
| Graphing Linear Inequalities | |
| |
| |
| Chapter 3 Project: Modeling Real Data | |
| |
| |
| Chapter 3 Vocabulary Check | |
| |
| |
| Chapter 3 Highlights | |
| |
| |
| Chapter 3 Review | |
| |
| |
| Chapter 3 Test | |
| |
| |
| Chapter 3 Cumulative Review | |
| |
| |
| |
| Solving Systems of Linear Equations | |
| |
| |
| |
| Solving Systems of Linear Equations by Graphing | |
| |
| |
| |
| Solving Systems of Linear Equations by Substitution | |
| |
| |
| |
| Solving Systems of Linear Equations by Addition | |
| |
| |
| |
| Systems of Linear Equations and Problem Solving | |
| |
| |
| Chapter 4 Project: Analyzing the Courses of Ships | |
| |
| |
| Chapter 4 Vocabulary Check | |
| |
| |
| Chapter 4 Highlights | |
| |
| |
| Chapter 4 Review | |
| |
| |
| Chapter 4 Test | |
| |
| |
| Chapter 4 Cumulative Review | |
| |
| |
| |
| Exponents and Polynomials | |
| |
| |
| |
| Exponents | |
| |
| |
| |
| Negative Exponents and Scientific Notation | |
| |
| |
| |
| Polynomial Functions and Adding and Subtracting Polynomials | |
| |
| |
| |
| Multiplying Polynomials | |
| |
| |
| |
| Special Products | |
| |
| |
| |
| Dividing Polynomials | |
| |
| |
| |
| Synthetic Division and the Remainder Theorem | |
| |
| |
| Chapter 5 Project: Modeling with Polynomials | |
| |
| |
| Chapter 5 Vocabulary Check | |
| |
| |
| Chapter 5 Highlights | |
| |
| |
| Chapter 5 Review | |
| |
| |
| Chapter 5 Test | |
| |
| |
| Chapter 5 Cumulative Review | |
| |
| |
| |
| Factoring Polynomials | |
| |
| |
| |
| The Greatest Common Factor and Factoring by Grouping | |
| |
| |
| |
| Factoring Trinomials of the Form x[subscript 2] + bx + c | |
| |
| |
| |
| Factoring Trinomials of the Form ax[subscript 2] + bx + c | |
| |
| |
| |
| Factoring Binomials | |
| |
| |
| |
| Choosing a Factoring Strategy | |
| |
| |
| |
| Solving Quadratic Equations by Factoring | |
| |
| |
| |
| Quadratic Equations and Problem Solving | |
| |
| |
| |
| An Introduction to Graphing Polynomial Functions | |
| |
| |
| Chapter 6 Project: Choosing Among Building Options | |
| |
| |
| Chapter 6 Vocabulary Check | |
| |
| |
| Chapter 6 Highlights | |
| |
| |
| Chapter 6 Review | |
| |
| |
| Chapter 6 Test | |
| |
| |
| Chapter 6 Cumulative Review | |
| |
| |
| |
| Rational Expressions | |
| |
| |
| |
| Rational Functions and Simplifying Rational Expressions | |
| |
| |
| |
| Multiplying and Dividing Rational Expressions | |
| |
| |
| |
| Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominator | |
| |
| |
| |
| Adding and Subtracting Rational Expressions with Unlike Denominators | |
| |
| |
| |
| Simplifying Complex Fractions | |
| |
| |
| |
| Solving Equations Containing Rational Expressions | |
| |
| |
| |
| Ratio and Proportion | |
| |
| |
| |
| Rational Equations and Problem Solving | |
| |
| |
| Chapter 7 Project: Comparing Dosage Formulas | |
| |
| |
| Chapter 7 Vocabulary Check | |
| |
| |
| Chapter 7 Highlights | |
| |
| |
| Chapter 7 Review | |
| |
| |
| Chapter 7 Test | |
| |
| |
| Chapter 7 Cumulative Review | |
| |
| |
| |
| Transitions to Intermediate Algebra | |
| |
| |
| |
| Review Solving Equations | |
| |
| |
| |
| Further Problem Solving | |
| |
| |
| |
| Compound Inequalities | |
| |
| |
| |
| Absolute Value Equations | |
| |
| |
| |
| Absolute Value Inequalities | |
| |
| |
| |
| Solving Systems of Linear Equations in Three Variables | |
| |
| |
| |
| Solving Systems of Equations by Matrices | |
| |
| |
| |
| Solving Systems of Equations by Determinants | |
| |
| |
| Chapter 8 Project: Analyzing Municipal Budgets | |
| |
| |
| Chapter 8 Vocabulary Check | |
| |
| |
| Chapter 8 Highlights | |
| |
| |
| Chapter 8 Review | |
| |
| |
| Chapter 8 Test | |
| |
| |
| Chapter 8 Cumulative Review | |
| |
| |
| |
| Radicals, Rational Exponents, and Complex Numbers | |
| |
| |
| |
| Radicals and Radical Functions | |
| |
| |
| |
| Rational Exponents | |
| |
| |
| |
| Simplifying Radical Expressions | |
| |
| |
| |
| Adding, Subtracting, and Multiplying Radical Expressions | |
| |
| |
| |
| Rationalizing Denominators and Numerators of Radical Expressions | |
| |
| |
| |
| Radical Equations and Problem Solving | |
| |
| |
| |
| Complex Numbers | |
| |
| |
| Chapter 9 Project: Calculating the Length and Period of a Pendulum | |
| |
| |
| Chapter 9 Vocabulary Check | |
| |
| |
| Chapter 9 Highlights | |
| |
| |
| Chapter 9 Review | |
| |
| |
| Chapter 9 Test | |
| |
| |
| Chapter 9 Cumulative Review | |
| |
| |
| |
| Quadratic Equations and Functions | |
| |
| |
| |
| Solving Quadratic Equations by Completing the Square | |
| |
| |
| |
| Solving Quadratic Equations by the Quadratic Formula | |
| |
| |
| |
| Solving Equations by Using Quadratic Methods | |
| |
| |
| |
| Nonlinear Inequalities in One Variable | |
| |
| |
| |
| Variation and Problem Solving | |
| |
| |
| |
| Quadratic Functions and Their Graphs | |
| |
| |
| |
| Further Graphing of Quadratic Functions | |
| |
| |
| Chapter 10 Project: Fitting a Quadratic Model to Data | |
| |
| |
| Chapter 10 Vocabulary Check | |
| |
| |
| Chapter 10 Highlights | |
| |
| |
| Chapter 10 Review | |
| |
| |
| Chapter 10 Test | |
| |
| |
| Chapter 10 Cumulative Review | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| |
| The Algebra of Functions; Composite Functions | |
| |
| |
| |
| Inverse Functions | |
| |
| |
| |
| Exponential Functions | |
| |
| |
| |
| Logarithmic Functions | |
| |
| |
| |
| Properties of Logarithms | |
| |
| |
| |
| Common Logarithms, Natural Logarithms, and Change of Base | |
| |
| |
| |
| Exponential and Logarithmic Equations and Applications | |
| |
| |
| Chapter 11 Project: Modeling Temperature | |
| |
| |
| Chapter 11 Vocabulary Check | |
| |
| |
| Chapter 11 Highlights | |
| |
| |
| Chapter 11 Review | |
| |
| |
| Chapter 11 Test | |
| |
| |
| Chapter 11 Cumulative Review | |
| |
| |
| |
| Sequences, Series, and the Binomial Theorem | |
| |
| |
| |
| Sequences | |
| |
| |
| |
| Arithmetic and Geometric Sequences | |
| |
| |
| |
| Series | |
| |
| |
| |
| Partial Sums of Arithmetic and Geometric Sequences | |
| |
| |
| |
| The Binomial Theorem | |
| |
| |
| Chapter 12 Project: Modeling College Tuition | |
| |
| |
| Chapter 12 Vocabulary Check | |
| |
| |
| Chapter 12 Highlights | |
| |
| |
| Chapter 12 Review | |
| |
| |
| Chapter 12 Test | |
| |
| |
| Chapter 12 Cumulative Review | |
| |
| |
| |
| Conic Sections | |
| |
| |
| |
| The Parabola and the Circle | |
| |
| |
| |
| The Ellipse and the Hyperbola | |
| |
| |
| |
| Solving Nonlinear Systems of Equations | |
| |
| |
| |
| Nonlinear Inequalities and Systems of Inequalities | |
| |
| |
| Chapter 13 Project: Modeling Conic Sections | |
| |
| |
| Chapter 13 Vocabulary Check | |
| |
| |
| Chapter 13 Highlights | |
| |
| |
| Chapter 13 Review | |
| |
| |
| Chapter 13 Test | |
| |
| |
| Chapter 13 Cumulative Review | |
| |
| |
| Appendices | |
| |
| |
| |
| Operations on Decimals | |
| |
| |
| |
| Review of Angles, Lines, and Special Triangles | |
| |
| |
| |
| Review of Geometric Figures | |
| |
| |
| |
| Review of Volume and Surface Area | |
| |
| |
| |
| Mean, Median, and Mode | |
| |
| |
| |
| Introduction to Using a Graphing Utility | |
| |
| |
| |
| Table of Squares and Square Roots | |
| |
| |
| Answers to Selected Exercises | |
| |
| |
| Index | |
| |
| |
| Photo Credits | |