Algebra for College Students

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.

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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Algebra for College Students

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Table of Contents

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