9780072332322

Intermediate Algebra is designed to provide your students with the algebra background needed for further college-level mathematics courses. The unifying theme of this text is the development of the skills necessary for solving equations and inequalities, followed by the application of those skills to solving applied problems. The primary goal in writing the third edition of Intermediate Algebra has been to retain the features that made the second edition so successful, while incorporating the comments and suggestions of second-edition users. Many new features have been provided that will help instructors reach the goals that they have set for their students. As always, the author endeavors to write texts that students can read, understand, and enjoy, while gaining confidence in their ability to use mathematics.

Chapter 1 The Real Numbers
1.1 Sets
1.2 The Real Numbers
1.3 Operations on the Set of Real Numbers
1.4 Evaluating Expressions
1.5 Properties of the Real Numbers
1.6 Using the Properties
Chapter 2 Linear Equations and Inequalities in One Variable
2.1 Linear Equations in One Variable
2.2 Formulas and Functions
2.3 Applications
2.4 Inequalities
2.5 Compound Inequalities
2.6 Absolute Value Equations and Inequalities
Chapter 3 Graphs and Functions in the Cartesian Coordinate System
3.1 Graphing Lines in the Coordinate Plane
3.2 Slope of a Line
3.3 Three Forms for the Equation of a Line
3.4 Linear Inequalities and Their Graphs
3.5 Relations and Functions
3.6 Graphs of Functions
Chapter 4 Systems of Linear Equations
4.1 Solving Systems by Graphing and Substitution
4.2 The Addition Method
4.3 Systems of Linear Equations in Three Variables
4.4 Solving Linear Systems Using Matrices
4.5 Cramer's Rule for Systems in Two Variables
4.6 Cramer's Rule for Systems in Three Variables
4.7 Linear Programming
Chapter 5 Exponents and Polynomials
5.1 Integral Exponents and Scientific Notation
5.2 The Power Rules
5.3 Addition, Subtraction, and Multiplication of Polynomials
5.4 Multiplying Binomials
5.5 Division of Polynomials
5.6 Factoring Polynomials
5.7 Factoring ax2 + bx + c
5.8 Factoring Strategy
5.9 Solving Equations by Factoring
Chapter 6 Rational Expressions
6.1 Properties of Rational Expressions
6.2 Multiplication and Division
6.3 Addition and Subtraction
6.4 Complex Fractions
6.5 Solving Equations Involving Rational Expressions
6.6 Applications
Chapter 7 Rational Exponents and Radicals
7.1 Rational Exponents
7.2 Radicals
7.3 Operations with Radicals
7.4 More Operations with Radicals
7.5 Solving Equations with Radicals and Exponents
7.6 Complex Numbers
Chapter 8 Quadratic Equations and Inequalities
8.1 Factoring and Completing the Square
8.2 The Quadratic Formula
8.3 More on Quadratic Equations
8.4 Quadratic and Rational Inequalities
Chapter 9 Additional Function Topics
9.1 Combining Functions
9.2 Inverse Functions
9.3 Variation
9.4 The Factor Theorem
Chapter 10 Exponential and Logarithmic Functions
10.1 Exponential Functions
10.2 Logarithmic Functions
10.3 Properties of Logarithms
10.4 Solving Equations
Chapter 11 Nonlinear Systems and the Conic Sections
11.1 Nonlinear Systems of Equations
11.2 The Parabola
11.3 The Circle
11.4 The Ellipse and Hyperbola
11.5 Second-Degree Inequalities
Chapter 12 Sequences and Series
12.1 Sequences
12.2 Series
12.3 Arithmetic Sequences and Series
12.4 Geometric Sequences and Series
12.5 Binomial Expansions

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Intermediate Algebra with Student CD-Rom Windows mandatory package

Intermediate Algebra with Student CD-Rom Windows mandatory package

0072332328

Summary

Table of Contents

1.1 Sets

1.2 The Real Numbers

1.3 Operations on the Set of Real Numbers

1.4 Evaluating Expressions

1.5 Properties of the Real Numbers

1.6 Using the Properties

Chapter 2 Linear Equations and Inequalities in One Variable

2.1 Linear Equations in One Variable

2.2 Formulas and Functions

2.3 Applications

2.4 Inequalities

2.5 Compound Inequalities

2.6 Absolute Value Equations and Inequalities

Chapter 3 Graphs and Functions in the Cartesian Coordinate System

3.1 Graphing Lines in the Coordinate Plane

3.2 Slope of a Line

3.3 Three Forms for the Equation of a Line

3.4 Linear Inequalities and Their Graphs

3.5 Relations and Functions

3.6 Graphs of Functions

Chapter 4 Systems of Linear Equations

4.1 Solving Systems by Graphing and Substitution

4.2 The Addition Method

4.3 Systems of Linear Equations in Three Variables

4.4 Solving Linear Systems Using Matrices

4.5 Cramer's Rule for Systems in Two Variables

4.6 Cramer's Rule for Systems in Three Variables

4.7 Linear Programming

Chapter 5 Exponents and Polynomials

5.1 Integral Exponents and Scientific Notation

5.2 The Power Rules

5.3 Addition, Subtraction, and Multiplication of Polynomials

5.4 Multiplying Binomials

5.5 Division of Polynomials

5.6 Factoring Polynomials

5.7 Factoring ax2 + bx + c

5.8 Factoring Strategy

5.9 Solving Equations by Factoring

Chapter 6 Rational Expressions

6.1 Properties of Rational Expressions

6.2 Multiplication and Division

6.3 Addition and Subtraction

6.4 Complex Fractions

6.5 Solving Equations Involving Rational Expressions

6.6 Applications

Chapter 7 Rational Exponents and Radicals

7.1 Rational Exponents

7.2 Radicals

7.3 Operations with Radicals

7.4 More Operations with Radicals

7.5 Solving Equations with Radicals and Exponents

7.6 Complex Numbers

Chapter 8 Quadratic Equations and Inequalities

8.1 Factoring and Completing the Square

8.2 The Quadratic Formula

8.3 More on Quadratic Equations

8.4 Quadratic and Rational Inequalities

Chapter 9 Additional Function Topics

9.1 Combining Functions

9.2 Inverse Functions

9.3 Variation

9.4 The Factor Theorem

Chapter 10 Exponential and Logarithmic Functions

10.1 Exponential Functions

10.2 Logarithmic Functions

10.3 Properties of Logarithms

10.4 Solving Equations

Chapter 11 Nonlinear Systems and the Conic Sections

11.1 Nonlinear Systems of Equations

11.2 The Parabola

11.3 The Circle

11.4 The Ellipse and Hyperbola

11.5 Second-Degree Inequalities