Introductory Algebra

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

• ISBN13: 9781439047873
• ISBN10: 1439047871
• Edition: 4th
• Format: Paperback
• Copyright: 2010-01-01
• Publisher: Brooks Cole

Summary

The latest book from Cengage Learning on Introductory Algebra

Table of Contents

An Introduction to Algebra

The Language of Algebra

Fractions

The Real Numbers

Adding Real Numbers

Properties of Addition

Subtracting Real Numbers

Multiplying and Dividing Real Numbers

Exponents and Order of Operations

Algebraic Expressions

Simplifying Algebraic Expressions Using Properties of Real Numbers

Chapter 1 Summary and Review

Chapter 1 Test

Equations, Inequalities, and Problem Solving

Solving Equations Using Properties of Equality

More about Solving Equations

Applications of Percent

Formulas

Problem Solving

More about Problem Solving

Solving Inequalities

Chapter 2 Summary and Review

Chapter 2 Test

Chapters 1-2 Cumulative Review Exercises

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

Slope-Intercept Form

Point-Slope Form

Writing Linear Equations

Graphing Linear Inequalities

Functions

Chapter 3 Summary and Review

Chapter 3 Test

Chapters 1-3 Cumulative Review Exercises

Solving Systems of Equations and Inequalities

Solving Systems of Equations by Graphing

Solving Systems of Equations by Substitution

Solving Systems of Equations by Addition (Elimination)

Problem Solving Using Systems of Equations

Solving Systems of Linear Inequalities

Chapter 4 Summary and Review

Chapter 4 Test

Chapters 1-4 Cumulative Review Exercises

Exponents and Polynomials

Natural-Number Exponents

Rules of Exponents

Zero and Negative Integer Exponents

Scientific Notation

Polynomials

Adding and Subtracting Polynomials

Multiplying Polynomials

Dividing Polynomials by Monomials

Dividing Polynomials by Polynomials

Chapter 5 Summary and Review

Chapter 5 Test

Chapters 1-5 Cumulative Review Exercises

Factoring and Quadratic Equations

The Greatest Common Factor

Factoring by Grouping

Factoring Trinomials of the Form x2 + bx = c

Factoring Trinomials of the Form ax2 + bx + c

Factoring Perfect-Square Trinomials and the Difference of Two Squares

Factoring the Sum and Difference of Two Cubes

A Factoring Strategy

Quadratic Equations

Applications of Quadratic Equations

Chapter 6 Summary and Review

Chapter 6 Test

Chapters 1-6 Cumulative Review Exercises

Rational Expressions and Equations

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting with Like Denominators

Least Common Denominators

Adding and Subtracting with Unlike Denominators

Simplifying Complex Fractions

Solving Rational Equations

Problem Solving Using Rational Equations

Proportions and Similar Triangles

Variation

Chapter 7 Summary and Review

Chapter 7 Test

Chapters 1-7 Cumulative Review Exercises

Roots and Radicals

Square Roots

Higher-Order Roots

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

Chapter 8 Summary and Review

Chapter 8 Test

Chapters 1-8 Cumulative Review Exercises

Quadratic Equations

Solving Quadratic Equations: The Square Root Property

Solving Quadratic Equations: Completing the Square.

Solving Quadratic Equations: The Quadratic Formula

Graphing Quadratic Functions

Complex Numbers

Chapter 9 Summary and Review

Chapter 9 Test

Chapter 9 Cumulative Review Exercises

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