Introductory Algebra (with CD-ROM, Make the Grade, and InfoTrac)

by Tussy, Alan S.; Gustafson, R. David

• ISBN13: 9780534436377
• ISBN10: 0534436374
• Edition: 2nd
• Format: Paperback
• Copyright: 2001-07-27
• Publisher: Brooks Cole

Summary

Tussy and Gustafson's fully integrated learning process is designed to expand students' reasoning abilities and teach them how to read, write, and think mathematically. In this text, the introduction of coordinate graphing appears early, in Chapter 3. The authors build the strong mathematical foundation necessary to give students confidence to apply their newly acquired skills in further mathematics courses, at home, or on the job.

Table of Contents

1. AN INTRODUCTION TO ALGEBRA

Describing Numerical Relationships

Fractions and Decimals

The Real Numbers

Adding and Subtracting Real Numbers

Multiplying and Dividing Real Numbers

Exponents and Order of Operations

Algebraic Expressions

Key Concept: Variables

2. EQUATIONS, INEQUALITIES, AND PROBLEM SOLVING

Solving Equations

Problem Solving

Simplifying Algebraic Expressions

Simplifying Algebraic Expressions

More About Solving Equations

Formulas

More Problem Solving

Inequalities

Key Concept: Simplify and Solve

3. GRAPHS, LINEAR EQUATIONS, AND FUNCTIONS

Graphing Using the Rectangular Coordinate System

Equations Containing Two Variables

Graphing Linear Equations

Rate of Change and the Slope of a Line

Describing Linear Relationships

Writing Linear Equations

Functions

Key Concept: Describing Linear Relationships

4. EXPONENTS AND POLYNOMIALS

Natural-Number Exponents

Zero and Negative Integer Exponents

Scientific Notation

Polynomials

Adding and Subtracting Polynomials

Multiplying Polynomials

Dividing Polynomials by Monomials

Dividing Polynomials by Polynomials

Key Concept: Polynomials

5. FACTORING AND QUADRATIC EQUATIONS

Factoring Out the Greatest Common Factor and Factoring by Grouping

Factoring Trinomials of the Form x2 + bx + c

Factoring Trinomials of the Form ax2 + bx + c

Special Factorizations and a Factoring Strategy

Quadratic Equations

Key Concept: Factoring

6. RATIONAL EXPRESSIONS AND EQUATIONS

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Complex Fractions

Rational Equations and Problem Solving

Proportions and Similar Triangles

Variation

Key Concept: Expressions and Equations

7. SOLVING SYSTEMS OF EQUATIONS AND INEQUALITIES

Solving Systems of Equations by Graphing

Solving Systems of Equations by Substitution

Solving Systems by Addition

Applications of Systems of Equations

Graphing Linear Inequalities

Solving Systems of Linear Equations

Key Concept: Systems of Equations and Inequalities

8. ROOTS AND RADICALS

Square Roots

Higher Order Roots and Radicands That Contain Variables

Simplifying Radical Expressions

Adding and Subtracting Radical Expressions

Multiplying and Dividing Radical Expressions

Solving Radical Equations: The Distance Formula

Rational Exponents

Key Concept: Inverse Operations

9. QUADRATIC EQUATIONS

Completing the Square

The Quadratic Formula

Graphing Quadratic Functions

Key Concept: Quadratic Equations

APPENDIXES

I

Statistics

II

Roots and Powers