Elementary and Intermediate Algebra

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  • Edition: 1st
  • Copyright: 2002-01-01
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Table of Contents

Real Numbers and Their Properties
The Real Numbers
Addition and Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Expressions and the Order of Operations
Algebraic Expressions
Properties of the Real Numbers
Using the Properties to Simplify Expressions
Linear Equations and Inequalities in One Variable
The Addition and Multiplication Properties of Equality
Solving General Linear Equations
More Equations
Translating Verbal Expressions into Algebraic Expressions
Number, Geometric, and Uniform Motion Applications
Discount, Investment, and Mixture Applications
Solving Inequalities and Applications
Linear Equations and Inequalities in Two Variables
Graphing Lines in the Coordinate Plane
Equations of Lines in Slope-Intercept Form
The Point-Slope Form
Graphing Linear Inequalities in Two Variables
Polynomials and Exponents
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Multiplication of Binomials
Special Products
Division of Polynomials
Nonnegative Integral Exponents
Negative Exponents and Scientific Notation
Factoring Out Common Factors
Factoring the Special Products and Factoring by Grouping
Factoring ax2 + bx + c with a =1
Factoring ax2 + bx + c with a 1
Factoring a Difference or Sum of Two Cubes
Solving Quadratic Equations by Factoring
Rational Expressions
Reducing Rational Expressions
Multiplication and Division
Finding the Least Common Denominator
Addition and Subtraction
Complex Fractions
Solving Equations with Rational Expressions
Applications of Ratios and Proportions
Applications of Rational Expressions
Systems of Linear Equations
Solving Systems by Graphing and Substitution
The Addition Method
Systems of Linear Equations in Three Variables
Solving Linear Systems Using Matrices
Determinants and Cramer's Rule
More on Inequalities
Compound Inequalities in One Variable
Absolute Value Equations and Inequalities
Compound Inequalities in Two Variables
Linear Programming
Radicals and Rational Exponents
Rational Exponents
Operations with Radicals
Quotients, Powers, and Rationalizing Denominators
Solving Equations with Radicals and Exponents
Complex Numbers
Quadratic Equations and Inequalities
Factoring and Completing the Square
The Quadratic Formula
Graphing Parabolas
More on Quadratic Equations
Quadratic and Rational Inequalities
Functions and Relations
Graphs of Functions and Relations
Transformations of Graphs
Graphs of Polynomial Functions
Graphs of Rational Functions
Combining Functions
Inverse Functions
Exponential and Logarithmic Functions
Exponential Functions and Their Applications
Logarithmic Functions and Their Applications
Properties of Logarithms
Solving Equations and Applications
Nonlinear Systems and the Conic Sections
Nonlinear Systems of Equations
The Parabola
The Circle
The Ellipse and Hyperbola
Second-Degree Inequalities
Sequences and Series
Arithmetic Sequences and Series
Geometric Sequences and Series
Binomial Expansions
Diagnostic Test
Chapters 1-6 Review
Geometry Review Exercises
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