Intermediate Algebra (with Digital Video Companion, BCA Tutorial, and InfoTrac)

by McKeague, Charles P.

• ISBN13: 9780534418250
• ISBN10: 0534418252
• Edition: 7th
• Format: Hardcover
• Copyright: 2003-06-26
• Publisher: Cengage Learning

Summary

Exceptionally clear and accessible, Pat McKeague's best-selling texts offer all the review, drill, and practice students need to develop solid mathematical proficiency and confidence. McKeague's attention to detail, exceptional writing style, and organization of mathematical concepts make teaching enjoyable and learning accessible. The seventh edition of this popular series gives the book a greater emphasis on the connections between equations, tables, and graphs and by incorporating pedagogy that addresses collaborative learning and terminology.

Table of Contents

Preface to the Instructor

Preface to the Student

1. BASIC PROPERTIES AND DEFINITIONS

Fundamental Definitions and Notation

The Real Numbers

Properties of Real Numbers

Arithmetic with Real Numbers

Recognizing Patterns

Summary

Review

Test

Projects

2. LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE

Linear Equations in One Variable

Formulas

Applications

Linear Inequalities in One Variable

Equations with Absolute Value

Inequalities Involving Absolute Value

Summary

Review

Cumulative Review

Test

Projects

3. EQUATIONS AND INEQUALITIES IN TWO VARIABLES

Paired Data and the Rectangular Coordinate System

The Slope of a Line

The Equation of a Line

Linear Inequalities in Two Variables

Introduction to Functions

Function Notation

Algebra and Composition with Functions

ariation

Summary

Review

Cumulative Review

Test

Projects

4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES

Systems of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables

Introduction to Determinants

Cramer's Rule

Applications

Systems of Linear Inequalities

Summary

Review

Cumulative Review

Test

Projects

5. EXPONENTS AND POLYNOMIALS

Properties of Exponents

Polynomials, Sums, and Differences

Multiplication of Polynomials

The Greatest Common Factor and Factoring by Grouping

Factoring Trinomials

Special Factoring

Factoring: A General Review

Solving Equations by Factoring

Summary

Review

Cumulative Review

Test

Projects

6. RATIONAL EXPRESSIONS AND RATIONAL FUNCTIONS

Basic Properties and Reducing to Lowest Terms

Division of Polynomials

Multiplication and Division of Rational Expressions

Addition and Subtraction of Rational Expressions

Complex Fractions

Equations Involving Rational Expressions

Applications

Summary

Review

Cumulative Review

Test

Projects

7. RATIONAL EXPONENTS AND ROOTS

Rational Exponents

More Expressions Involving Rational Exponents

Simplified Form for Radicals

Addition and Subtraction of Radical Expressions

Multiplication and Division of Radical Expressions

Equations with Radicals

Complex Numbers

Summary

Review

Cumulative Review

Test

Projects

8. QUADRATIC FUNCTIONS

Completing the Square

The Quadratic Formula

Additional Items Involving Solutions to Equations

Equations Quadratic in Form

Graphing Parabolas

Quadratic Inequalities

Summary

Review

Cumulative Review

Test

Projects

9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS

Exponential Functions

The Inverse of a Function

Logarithms are Exponents

Properties of Logarithms

Common Logarithms and Natural Logarithms

Exponential Equations and Change of Base

Summary

Review

Cumulative Review

Test

Projects

10. CONIC SECTIONS

The Circle

Ellipses and Hyperbolas

Second-degree Inequalities and Nonlinear Systems

Summary

Review

Cumulative Review

Test

Projects

11. SEQUENCES AND SERIES

Sequences

Series

Arithmetic Sequences

Geometric Sequences

he Binomial Expansion

Summary

Review

Cumulative Review

Test

Projects

Appendix A: Synthetic Division

Appendix B: Matrix Solutions to Linear Systems

Appendix C: Conditional Statements

Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests, and Cumulative Reviews

Index