| |
| |
| |
A Review of Basic Algebra | |
| |
| |
| |
The Real Numbers | |
| |
| |
| |
The Language of Algebra | |
| |
| |
| |
The Real Number System | |
| |
| |
| |
Operations with Real Numbers | |
| |
| |
| |
Simplifying Algebraic Expressions | |
| |
| |
| |
Solving Linear Equations and Formulas | |
| |
| |
| |
Using Equations to Solve Problems | |
| |
| |
| |
More Problem Solving | |
| |
| |
Key Concept: Let x = | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
| |
Graphs, Equations of Lines, and Functions | |
| |
| |
| |
The Rectangular Coordinate System | |
| |
| |
| |
Rate of Change and the Slope of a Line | |
| |
| |
| |
Function Notation | |
| |
| |
| |
The Rectangular Coordinate System | |
| |
| |
| |
Graphing Linear Equations | |
| |
| |
| |
Rate of Change and the Slope of a Line | |
| |
| |
| |
Writing Equations of Lines | |
| |
| |
| |
Introduction to Functions | |
| |
| |
| |
Graphs of Functions | |
| |
| |
Key Concept: Functions | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Systems of Equations | |
| |
| |
| |
Solving Systems of Equations by Graphing | |
| |
| |
| |
Solving Systems by Graphing | |
| |
| |
| |
Solving Systems Algebraically | |
| |
| |
| |
Systems of Three Equations | |
| |
| |
| |
Solving Systems Using Matrices | |
| |
| |
| |
Solving Systems Using Determinants | |
| |
| |
Key Concept: Systems of Equations | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Inequalities | |
| |
| |
| |
Absolute Value Equations | |
| |
| |
| |
Solving Linear Inequalities | |
| |
| |
| |
Solving Compound Inequalities | |
| |
| |
| |
Solving Absolute Value Equations and Inequalities | |
| |
| |
| |
Linear Inequalities in Two Variables | |
| |
| |
| |
Systems of Linear Inequalities | |
| |
| |
Key Concept: Inequalities | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Exponents, Polynomials, and Polynomial Functions | |
| |
| |
| |
The Greatest Common Factor and Factoring by Grouping | |
| |
| |
| |
Factoring Trinomials and the Difference of Squares | |
| |
| |
| |
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 | |
| |
| |
Key Concept: Polynomials | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Rational Expressions, Equations, and Functions | |
| |
| |
| |
Solving Rational Equations | |
| |
| |
| |
Rational Functions and Simplifying Rational Expressions | |
| |
| |
| |
Multiplying and Dividing Rational Expressions | |
| |
| |
| |
Adding and Subtracting Rational Expressions | |
| |
| |
| |
Complex Fractions | |
| |
| |
| |
Equations Containing Rational Expressions | |
| |
| |
| |
Dividing Polynomials | |
| |
| |
| |
Proportion and Variation | |
| |
| |
Key Concept: Expressions and Equations | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Radical Expressions, Equations, and Functions | |
| |
| |
| |
Simplifying Radical Expressions | |
| |
| |
| |
Radical Equations | |
| |
| |
| |
Radical Expressions and Radical Functions | |
| |
| |
| |
Simplifying and Combining Radical Expressions | |
| |
| |
| |
Multiplying and Dividing Radical Expressions | |
| |
| |
| |
Radical Equations | |
| |
| |
| |
Rational Exponents | |
| |
| |
| |
Geometric Applications of Radicals | |
| |
| |
Key Concept: Radicals | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Quadratic Equations, Functions, and Inequalities | |
| |
| |
| |
The Quadratic Formula | |
| |
| |
| |
Completing the Square | |
| |
| |
| |
The Quadratic Formula | |
| |
| |
| |
Quadratic Functions and Their Graphs | |
| |
| |
| |
Complex Numbers | |
| |
| |
| |
The Discriminant and Equations That Can Be Written in Quadratic Form | |
| |
| |
| |
Quadratic and Other Nonlinear Inequalities | |
| |
| |
Key Concept: Solving Quadratic Equations | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Exponential and Logarithmic Functions | |
| |
| |
| |
Exponential Functions | |
| |
| |
| |
Properties of Logarithms | |
| |
| |
| |
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 | |
| |
| |
Key Concept: Inverse Functions | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Conic Sections; More Graphing | |
| |
| |
| |
Introduction to Conic Sections | |
| |
| |
| |
The Circle and the Parabola | |
| |
| |
| |
The Ellipse | |
| |
| |
| |
The Hyperbola | |
| |
| |
| |
Solving Simultaneous Second-Degree Equations | |
| |
| |
Key Concept: Conic Sections | |
| |
| |
Accent on Teamwork | |
| |
| |
Chapter Review | |
| |
| |
Chapter Test | |
| |
| |
Cumulative Review Exercises | |
| |
| |
| |
Fractions and Decimals | |
| |
| |
| |
Cumulative Review of Graphing | |
| |
| |
| |
Answers to Selected Exercises (Appears in the Student Edition only) | |
| |
| |
Index | |