| |
| |
To the student preface | |
| |
| |
| |
The Real Numbers | |
| |
| |
| |
Sets | |
| |
| |
| |
The Real Numbers | |
| |
| |
| |
Operations on the Set of Real Numbers | |
| |
| |
| |
Evaluating Expressions | |
| |
| |
| |
Properties of the Real Numbers | |
| |
| |
| |
Using the Properties | |
| |
| |
| |
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| |
| |
| |
Test • Critical Thinking | |
| |
| |
| |
Linear Equations and Inequalities in One Variable | |
| |
| |
| |
Linear Equations in One Variable | |
| |
| |
| |
Formulas and Functions | |
| |
| |
| |
Applications | |
| |
| |
| |
Inequalities | |
| |
| |
| |
Compound Inequalities | |
| |
| |
| |
Absolute Value Equations and Inequalities | |
| |
| |
| |
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| |
| |
| |
Test • Making Connections | |
| |
| |
A review of Chapters 1-2 • Critical Thinking | |
| |
| |
| |
Linear Equations and Inequalities in Two Variables | |
| |
| |
| |
Graphing Lines in the Coordinate Plane | |
| |
| |
| |
Slope of a Line | |
| |
| |
| |
Three Forms for the Equation of a Line | |
| |
| |
| |
Linear Inequalities and Their Graphs | |
| |
| |
| |
Functions and Relations | |
| |
| |
| |
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| |
| |
| |
Test • Making Connections | |
| |
| |
a review of Chapters 1-3 • Critical Thinking | |
| |
| |
| |
Systems of Linear Equations | |
| |
| |
| |
Solving Systems by Graphing and Substitution | |
| |
| |
| |
The Addition Method | |
| |
| |
| |
Systems of Linear Equations in Three Variables | |
| |
| |
| |
Solving Linear Systems Using Matrices | |
| |
| |
| |
Determinants and Cramer’s Rule | |
| |
| |
| |
Linear Programming | |
| |
| |
| |
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| |
| |
| |
Test • Making Connections | |
| |
| |
a review of Chapters 1-4 • Critical Thinking | |
| |
| |
| |
Exponents and Polynomials | |
| |
| |
| |
Integral Exponents and Scientific Notation | |
| |
| |
| |
The Power Rules | |
| |
| |
| |
Polynomials and Polynomial Functions | |
| |
| |
| |
Multiplying Binomials | |
| |
| |
| |
Factoring Polynomials | |
| |
| |
| |
Factoring ax� + bx + c | |
| |
| |
| |
Factoring Strategy | |
| |
| |
| |
Solving Equations by Factoring | |
| |
| |
| |
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| |
| |
| |
Test • Making Connections | |
| |
| |
a review of Chapters 1-5 • Critical Thinking | |
| |
| |
| |
Rational Expressions and Functions | |
| |
| |
| |
Properties of Rational Expressions and Functions | |
| |
| |
| |
Multiplication and Division | |
| |
| |
| |
Addition and Subtraction | |
| |
| |
| |
Complex Fractions | |
| |
| |
| |
Division of Polynomials | |
| |
| |
| |
Solving Equations Involving Rational Expressions | |
| |
| |
| |
Applications | |
| |
| |
| |
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| |
| |
| |
Test • Making Connections | |
| |
| |
a review of Chapters 1-6 • Critical Thinking | |
| |
| |
| |
Radicals and Rational Exponents | |
| |
| |
| |
Radicals | |
| |
| |
| |
Rational Exponents | |
| |
| |
| |
Adding, Subtracting, and Multiplying Radicals | |
| |
| |
| |
Quotients, Powers, and Rationalizing Denominators | |
| |
| |
| |
Solving Equations with Radicals and Exponents | |
| |
| |
| |
Complex Numbers | |
| |
| |
| |
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| |
| |
| |
Test • Making Connections | |
| |
| |
a review of Chapters 1-7 • Critical Thinking | |
| |
| |
| |
Quadratic Equations, Functions, and Inequalities | |
| |
| |
| |
Factoring and Completing the Square | |
| |
| |
| |
The Quadratic Formula | |
| |
| |
| |
More on Quadratic Equations | |
| |
| |
| |
Quadratic Functions and Their Graphs | |
| |
| |
| |
Quadratic and Rational Inequalities | |
| |
| |
| |
Wrap-Up • Summary • Enriching Your Mathematical Word Power • Review Exercises • | |
| |
| |
| |
Test & | |