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Intermediate Algebra 1, 4/e

C. Wang,
Southeastern Louisiana

ISBN: 0000080001 Copyright year: 2004

Table of Contents

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
2.3 Applications
2.4 Inequalities
2.5 Compound Inequalities
2.6 Absolute Value Equations and Inequalities

Chapter 3 Linear Equations and Inequalities in Two Variables
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 Functions and Relations

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 Determinants and Cramer's Rule
4.6 Linear Programming

Chapter 5 Exponents and Polynomials
5.1 Integral Exponents and Scientific Notation
5.2 The Power Rules
5.3 Polynomials and Polynomial Functions
5.4 Multiplying Binomials
5.5 Factoring Polynomials
5.6 Factoring
5.7 Factoring Strategy
5.8 Solving Equations by Factoring

Chapter 6 Rational Expressions and Functions
6.1 Properties of Rational Expressions and Functions
6.2 Multiplication and Division
6.3 Addition and Subtraction
6.4 Complex Fractions
6.5 Division of Polynomials
6.6 Solving Equations Involving Rational Expressions
6.7 Applications

Chapter 7 Radicals and Rational Exponents
7.1 Radicals
7.2 Rational Exponents
7.3 Operations with Radicals
7.4 Quotients, Powers, and Rationalizing Denominators
7.5 Solving Equations with Radicals and Exponents
7.6 Complex Numbers

Chapter 8 Quadratic Equations, Functions, and Inequalities
8.1 Factoring and Completing the Square
8.2 The Quadratic Formula
8.3 Quadratic Functions and Their Graphs
8.4 More on Quadratic Equations
8.5 Quadratic and Rational Inequalities

Chapter 9 Additional Function Topics
9.1 Graphs of Functions and Relations
9.2 Transformations of Graphs
9.3 Combining Functions
9.4 Inverse Functions
9.5 Variation

Chapter 10 Exponential and Logarithmic Functions
10.1 Exponential Functions and Their Applications
10.2 Logarithmic Functions and Their Applications
10.3 Properties of Logarithms
10.4 Solving Equations and Applications

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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