Elementary Algebra
Seventh Edition, 2004
Charles P. McKeague
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Contents
1. BASICS
1.1 Notation and Symbols
1.2 Real Numbers
1.3 Addition of Real Numbers
1.4 Subtraction of
Real Numbers
1.5 Properties of Real Numbers
1.6 Multiplication of Real Numbers
1.7 Division
of Real Numbers
1.8 Subsets of the Real Numbers
1.9 Addition and Subtraction with Fractions
Summary
Review
Test
Projects
2. LINEAR EQUATIONS
AND INEQUALITIES
2.1 Simplifying Expressions
2.2 Addition Property of Equality
2.3 Multiplication
Property of Equality
2.4 Solving Linear Equations
2.5 Formulas
2.6 Applications
2.7 More Applications
2.8 Linear Inequalities
2.9 Compound Inequalities
Summary
Review
Cumulative Review
Test
Projects
3. LINEAR EQUATIONS
AND INEQUALITIES IN TWO VARIABLES
3.1 Paired Data and Graphing Ordered Pairs
3.2 Solutions to Linear Equations
in Two Variables
3.3 Graphing Linear Equations in Two Variables
3.4 More
on Graphing: Intercepts
3.5 The Slope of a Line
3.6 Finding the Equation
of a Line
3.7 Linear Inequalities in Two Variables
Summary
Review
Cumulative Review
Test
Projects
4. SYSTEMS OF
LINEAR EQUATIONS
4.1 Solving Linear Systems by Graphing
4.2 The Elimination Method
4.3
The
Substitution Method
4.4
Applications
Summary
Review
Cumulative
Review
Test
Projects
5. EXPONENTS AND
POLYNOMIALS
5.1
Multiplication with Exponents
5.2
Division with Exponents
5.3
Operations
with Monomials
5.4
Addition and Subtraction of Polynomials
5.5
Multiplication
with Polynomials
5.6
Binomial Squares and Other Special Products
5.7 Dividing a Polynomial by a Monomial
5.8 Dividing a Polynomial by a
Polynomial
Summary
Review
Cumulative Review
Test
Projects
6. FACTORING
6.1
The Greatest Common Factor and Factoring by Grouping
6.2
Factoring
Trinomials
6.3
More Trinomials to Factor
6.4
The Difference of Two
Squares
6.5
Factoring: A General Review
6.6
Solving Equations by
Factoring
6.7
Applications
Summary
Review
Cumulative Review
Test
Projects
7. RATIONAL EXPRESSIONS
7.1
Reducing Rational Expressions to Lowest Terms
7.2
Multiplication and
Division of Rational Expressions
7.3
Addition and Subtraction
of Rational Expressions
7.4
Equations Involving Rational Expressions
7.5
Applications
7.6
Complex Fractions
7.7
Proportions
7.8
Variation
Summary
Review
Cumulative Review
Test
Projects
8. ROOTS AND RADICALS
8.1
Definitions and Common Roots
8.2
Properties of Radicals
8.3
Simplified
Form for Radicals
8.4
Addition and Subtraction of Radical Expressions
8.5
Multiplication and Division of Radicals
8.6
Equations Involving
Radicals
Summary
Review
Cumulative Review
Test
Projects
9. QUADRATIC EQUATIONS
9.1
More Quadratic Equations
9.2
Completing the Square
9.3
The Quadratic
Formula
Complex Numbers
Complex Solutions to Quadratic Equations
Graphing Parabolas
Summary
Review
Cumulative Review
Test
Projects
Appendix
A. Introduction to Functions
Appendix B. Function Notation
Answers to Chapter Reviews, Chapter Tests, and Odd-Numbered Problems
Index
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