| |
| |
| Preface | |
| |
| |
| To the Student | |
| |
| |
| About the Author | |
| |
| |
| Applications Index | |
| |
| |
| |
| Algebra, Mathematical Models, and Problem Solving | |
| |
| |
| |
| Algebraic Expressions and Real Numbers | |
| |
| |
| |
| Operations with Real Numbers and Simplifying Algebraic Expressions | |
| |
| |
| |
| Graphic Equations | |
| |
| |
| |
| Solving Linear Equations | |
| |
| |
| |
| Problem Solving and Using Formulas | |
| |
| |
| |
| Problems of Integral Exponents | |
| |
| |
| |
| Scientific Notation | |
| |
| |
| |
| Functions and Linear Functions | |
| |
| |
| |
| Introduction to Functions | |
| |
| |
| |
| The Algebra of Functions | |
| |
| |
| |
| Linear Functions and Slope | |
| |
| |
| |
| The Point-Slope Form of the Equation of a Line | |
| |
| |
| |
| Systems of Linear Equations | |
| |
| |
| |
| Systems of Linear Equations in Two Variables | |
| |
| |
| |
| Problem Solving and Business Applications Using Systems of Equations | |
| |
| |
| |
| Systems of Linear Equations in Three Variables | |
| |
| |
| |
| Matrix Solutions to Linear Systems | |
| |
| |
| |
| Determinants and Cramer's Rule | |
| |
| |
| |
| Inequalities and Problem Solving | |
| |
| |
| |
| Solving Linear Inequalities | |
| |
| |
| |
| Compound Inequalities | |
| |
| |
| |
| Equations and Inequalities Involving Absolute Value | |
| |
| |
| |
| Linear Inequalities in Two Variables | |
| |
| |
| |
| Linear Programming | |
| |
| |
| |
| Polynomials, Polynomial Functions, and Factoring | |
| |
| |
| |
| Introduction to Polynomials and Polynomial Functions | |
| |
| |
| |
| Multiplication of Polynomials | |
| |
| |
| |
| Greatest Common Factors and Factoring by Grouping | |
| |
| |
| |
| Factoring Trinomials | |
| |
| |
| |
| Factoring Special Forms | |
| |
| |
| |
| A General Factoring Strategy | |
| |
| |
| |
| Polynomial Equations and Their Applications | |
| |
| |
| |
| Rational Expressions, Functions, and Equations | |
| |
| |
| |
| Rational Expressions and Functions: Multiplying and Dividing | |
| |
| |
| |
| Adding and Subtracting Rational Expressions | |
| |
| |
| |
| Complex Rational Expressions | |
| |
| |
| |
| Division of Polynomials | |
| |
| |
| |
| Synthetic Division and the Remainder Theorem | |
| |
| |
| |
| Rational Equations | |
| |
| |
| |
| Formulas and Applications of Rational Equations | |
| |
| |
| |
| Modeling Using Variation | |
| |
| |
| |
| Radicals, Radical Functions, and Rational Exponents | |
| |
| |
| |
| Radical Expressions and Functions | |
| |
| |
| |
| Rational Exponents | |
| |
| |
| |
| Multiplying and Simplifying Radical Expressions | |
| |
| |
| |
| Adding, Subtracting, and Dividing Radical Expressions | |
| |
| |
| |
| Multiplying with More Than One Term and Rationalizing Denominators | |
| |
| |
| |
| Radical Equations | |
| |
| |
| |
| Complex Numbers | |
| |
| |
| |
| Quadratic Equations and Functions | |
| |
| |
| |
| The Square Root Property and Completing the Square | |
| |
| |
| |
| The Quadratic Formula | |
| |
| |
| |
| Quadratic Functions and Their Graphs | |
| |
| |
| |
| Equations Quadratic in Form | |
| |
| |
| |
| Quadratic and Rational Inequalities | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| |
| Exponential Functions | |
| |
| |
| |
| Composite and Inverse Functions | |
| |
| |
| |
| Logarithmic Functions | |
| |
| |
| |
| Properties of Logarithms | |
| |
| |
| |
| Exponential and Logarithmic Equations | |
| |
| |
| |
| Exponential Growth and Decay; Modeling Data | |
| |
| |
| |
| Conic Sections and Nonlinear Systems of Equations | |
| |
| |
| |
| Distance and Midpoint Formulas: Circles | |
| |
| |
| |
| The Ellipse | |
| |
| |
| |
| The Hyperbola | |
| |
| |
| |
| The Parabola; Identifying Conic Sections | |
| |
| |
| |
| Systems of Nonlinear Equations in Two Variables | |
| |
| |
| |
| Sequences, Series, and the Binomial Theorem | |
| |
| |
| |
| Sequences and Summation Notation | |
| |
| |
| |
| Arithmetic Sequences | |
| |
| |
| |
| Geometric Sequences and Series | |
| |
| |
| |
| The Binomial Theorem | |
| |
| |
| Appendix | |
| |
| |
| Answers to Selected Exercises | |
| |
| |
| Subject Index | |
| |
| |
| Photo Credits | |