Algebra for College Students

by Lial, Margaret L.; Hornsby, John; McGinnis, Terry

• ISBN13: 9780321168306
• ISBN10: 0321168305
• Edition: 6th
• Format: Hardcover
• Copyright: 2008-01-01
• Publisher: Addison Wesley

Summary

KEY MESSAGE: The Lial series has helped thousands of readers succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package Review of the Real Number System; Linear Equations, Inequalities, and Applications; Graphs, Linear Equations, and Functions; Systems of Linear Equations; Exponents, Polynomials, and Polynomial Functions; Factoring; Rational Expressions and Functions; Roots, Radicals, and Root Functions; Quadratic Equations and Inequalities; Additional Functions and Relations; Inverse, Exponential, and Logarithmic Functions; More on Polynomial and Rational Functions; Conic Sections; Further Topics in Algebra For all readers interested in Algebra.

Table of Contents

Review of the Real Number System

Basic Concepts

Operations on Real Numbers

Exponents, Roots, and Order of Operations

Properties of Real Numbers

Linear Equations, Inequalities, and Applications

Linear Equations in One Variable Formulas

Applications of Linear Equations

Further Applications of Linear Equations

Summary Exercises on Solving Applied Problems

Linear Inequalities in One Variable

Set Operations and Compound Inequalities

Absolute Value Equations and Inequalities

Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities

Graphs, Linear Equations, and Functions

The Rectangular Coordinate System

The Slope of a Line

Linear Equations in Two Variables

Linear Inequalities in Two Variables to Functions Variation

Systems of Linear Equations of Linear Equations in Two Variables

Systems of Linear Equations in Three Variables Applications of Systems of Linear Equations

Solving Systems of Linear Equations by Matrix Methods

Determinants and Cramer's Rule

Exponents, Polynomials, and Polynomial Functions

Integer Exponents and Scientific Notation

Adding and Subtracting Polynomials

Polynomial Functions

Multiplying Polynomials

Dividing Polynomials

Factoring

Greatest Common Factors; Factoring by Grouping Factoring Trinomials

Special Factoring

A General Approach to Factoring

Solving Equations by Factoring

Rational Expressions and Functions

Rational Expressions and Functions; Multiplying and Dividing

Adding and Subtracting Rational Expressions

Complex Fractions

Equations with Rational Expressions and Graphs

Summary Exercises on Operations and Equations with Rational Expressions

Applications of Rational Expressions

Roots, Radicals, and Root Functions

Radical Expressions and Graphs

Rational Exponents

Simplifying Radical Expressions

Adding and Subtracting Radical Expressions

Multiplying and Dividing Radical Expressions

Summary Exercises on Operations with Radicals

Solving Equations with Radicals

Complex Numbers

Quadratic Equations and Inequalities

The Square Root Property and Completing the Square

The Quadratic Formula

Equations Quadratic in Form

Summary Exercises on Solving Quadratic Equations

Formulas and Further Applications

Quadratic and Rational Inequalities

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