| |
| |
| |
| A Review of Basic Algebra | |
| |
| |
| The Language of Algebra | |
| |
| |
| The Real Numbers | |
| |
| |
| Operations with Real Numbers | |
| |
| |
| Simplifying Algebraic Expressions Using Properties of Real Numbers | |
| |
| |
| Solving Linear Equations Using Properties of Equality | |
| |
| |
| Solving Formulas | |
| |
| |
| Geometry | |
| |
| |
| Using Equations to Solve Problems | |
| |
| |
| More About Problem Solving | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Graphs, Equations of Lines, and Functions | |
| |
| |
| The Rectangular Coordinate System | |
| |
| |
| Graphing Linear Equations | |
| |
| |
| Rate of Change and the Slope of a Line | |
| |
| |
| Writing Equations of Lines | |
| |
| |
| An Introduction to Functions | |
| |
| |
| Graphs of Functions | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Systems of Equations | |
| |
| |
| Solving Systems by Graphing | |
| |
| |
| Solving Systems Algebraically | |
| |
| |
| Problems Solving Using Systems of Two Equations | |
| |
| |
| Solving Systems of Equations in Three Variables | |
| |
| |
| Problem Solving Using Systems of Three Equations | |
| |
| |
| Solving Systems of Equations Using Matrices | |
| |
| |
| Solving Systems Using Determinants | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Inequalities | |
| |
| |
| Solving Linear Inequalities in One Variable | |
| |
| |
| Solving Compound Inequalities | |
| |
| |
| Solving Absolute Value Equations and Inequalities | |
| |
| |
| Linear Inequalities in Two Variables | |
| |
| |
| Systems of Linear Inequalities | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Exponents, Polynomials, and Polynomial Functions | |
| |
| |
| Exponents | |
| |
| |
| Scientific Notation | |
| |
| |
| Polynomials and Polynomial Functions | |
| |
| |
| Multiplying Polynomials | |
| |
| |
| The Greatest Common Factor and Factoring by Grouping | |
| |
| |
| The Difference of Two Squares | |
| |
| |
| The Sum and Difference of Two Cubes | |
| |
| |
| Factoring Trinomials | |
| |
| |
| Summary of Factoring Techniques | |
| |
| |
| Solving Equations by Factoring | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Rational Expressions and Equations | |
| |
| |
| Rational Functions and Simplifying Rational Expressions | |
| |
| |
| Multiplying and Dividing Rational Expressions | |
| |
| |
| Adding and Subtracting Rational Expressions | |
| |
| |
| Simplifying Complex Fractions | |
| |
| |
| Dividing Polynomials | |
| |
| |
| Synthetic Division | |
| |
| |
| Solving Rational Equations | |
| |
| |
| Problem Solving Using Rational Equations | |
| |
| |
| Proportion and Variation | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Radical Expressions, Equations, and Functions | |
| |
| |
| Radical Expressions and Radical Functions | |
| |
| |
| Simplifying and Combining Radical Expressions | |
| |
| |
| Multiplying and Dividing Radical Expressions | |
| |
| |
| Radical Equations | |
| |
| |
| Rational Exponents | |
| |
| |
| Geometric Applications of Radicals | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Quadratic Equations, Functions, and Inequalities | |
| |
| |
| Square Root Property and Completing the Square | |
| |
| |
| The Quadratic Formula | |
| |
| |
| Quadratic Functions and Their Graphs | |
| |
| |
| The Discriminant and Equations that Can be Written in Quadratic Form | |
| |
| |
| Quadratic and Other Nonlinear Inequalities | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Exponential and Logarithmic Functions | |
| |
| |
| Algebra and Composition of Functions | |
| |
| |
| Inverses of Functions | |
| |
| |
| Exponential Functions | |
| |
| |
| Base-e Exponential Functions | |
| |
| |
| Logarithmic Functions | |
| |
| |
| Base-e Logarithms | |
| |
| |
| Properties of Logarithms | |
| |
| |
| Exponential and Logarithmic Equations | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Conic Sections | |
| |
| |
| More Graphing | |
| |
| |
| The Circle and Parabola | |
| |
| |
| The Ellipse | |
| |
| |
| The Hyperbola | |
| |
| |
| Solving Nonlinear Systems of Equations | |
| |
| |
| Chapter Summary and Review | |
| |
| |
| Chapter Test Cumulative Review | |
| |
| |
| |
| Roots and Powers | |
| |
| |
| |
| Answers to Selected Exercises | |