Elementary and Intermediate Algebra

by ; ;
Format: Paperback
Pub. Date: 2004-01-01
Publisher(s): Pearson College Div
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Table of Contents

Foundations of Algebra
Number Sets and the Structure of Algebra
Fractions
Adding and Subtracting Real Numbers
Properties of Real Numbers
Multiplying and Dividing Real Numbers
Properties of Real Numbers
Exponents, Roots, and Order of Operations
Translating Word Phrases to Expressions
Evaluating and Rewriting Expressions
Solving Linear Equations and Inequalities
Equations, Formulas, and the Problem-Solving Process
The Addition Principle
The Multiplication Principle
Applying the Principles to Formulas
Translating Word Sentences to Equations
Solving Linear Inequalities
Problem Solving
Ratios and Proportions
Percents
Problems with Two or More Unknowns
Rates
Investment and Mixture
Graphing Linear Equations and Inequalities
The Rectangular Coordinate System
Graphing Linear Equations
Graphing Using Intercepts
Slope-Intercept Form
Point-Slope Form
Graphing Linear Inequalities
Introduction to Functions and Function Notation
Polynomials
Exponents and Scientific Notation
Introduction to Polynomials
Adding and Subtracting Polynomials
Exponent Rules and Multiplying Monomials
Multiplying Polynomials; Special Products
Exponent Rules and Dividing Polynomials
Factoring
Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form xsup2; + bx + c
Factoring Trinomials of the Form axsup2; + bx + c, where a ` 1
Factoring Special Products
Strategies for Factoring
Solving Quadratic Equations by Factoring
Graphs of Quadratic Equations and Functions
Rational Expressions and Equations
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions with the Same Denominator
Adding and Subtracting Rational Expressions with Different Denominators
Complex Rational Expressions
Solving Equations Containing Rational Expressions
Applications with Rational Expressions
More on Inequalities, Absolute Value, and Functions
Compound Inequalities
Equations Involving Absolute Value
Inequalities Involving Absolute Value
Functions and Graphing
Function Operations
Systems of Equations
Solving Systems of Linear Equations Graphically
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Elimination
Solving Systems of Linear Equations in Three Variables
Solving Systems of Linear Equations Using Matrices
Cramer''s Rule
Solving Systems of Linear Inequalities
Rational Exponents, Radicals, and Complex Numbers
Radical Expressions and Functions
Rational Exponents
Multiplying, Dividing, and Simplifying Radicals
Adding, Subtracting, and Multiplying Radical Expressions
Rationalizing Numerators and Denominators of Radical Expressions
Radical Equations and Problem Solving
Complex Numbers
Quadratic Equations
Completing the Square
Solving Quadratic Equations Using the Quadratic Formula
Solving Equations That Are Quadratic in Form
Graphing Quadratic Functions
Solving Nonlinear Inequalities
Exponential and Logarithmic Functions
Composite and Inverse Functions
Exponential Functions
Logarithmic Functions
Properties of Logarithms
Common and Natural Logarithms
Exponential and Logarithmic Equations with Applications
Conic Sections
The Parabola and the Circle
Ellipses and Hyperbolas
Nonlinear Systems of Equations
Nonlinear Inequalities and Sys
Table of Contents provided by Publisher. All Rights Reserved.

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