Elementary & Intermediate Algebra: a combined course, Second Edition 2004 Charles P. McKeague
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Contents

Preface to the Instructor
Preface to the Student

1. THE 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 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
Summary
Review
Cumulative Review
Test
Projects

3. GRAPHING AND LINEAR SYSTEMS
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 Slope and the Equation of a Line
3.6 Solving Linear Systems by Graphing
3.7 The Addition Method
3.8 The Substitution Method
3.9 Applications
Summary
Review
Cumulative Review
Test
Projects

4. EXPONENTS AND POLYNOMIALS
4.1 Multiplication with Exponents
4.2 Division with Exponents
4.3 Operations with Monomials
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication with Polynomials
4.6 Binomial Squares and Other Special Products
4.7 Dividing a Polynomial by a Monomial
4.8 Dividing a Polynomial by a Polynomial
Summary
Review
Cumulative Review
Test
Projects

5. FACTORING
5.1 The Greatest Common Factor and Factoring by Grouping
5.2 Factoring Trinomials
5.3 More Trinomials to Factor
5.4 The Difference of Two Squares
5.5 Factoring: A General Review
5.6 Solving Equations by Factoring
5.7 Applications
Summary
Review
Cumulative Review
Test
Projects

6. RATIONAL EXPRESSIONS
6.1 Reducing Rational Expressions to Lowest Terms
6.2 Multiplication and Division of Rational Expressions
6.3 Addition and Subtraction of Rational Expressions
6.4 Equations Involving Rational Expressions
6.5 Applications
6.6 Complex Fractions
6.7 Proportions
Summary
Review
Cumulative Review
Test
Projects

7. TRANSITIONS
7.1 Review of Solving Equations
7.2 Equations with Absolute Value
7.3 Compound Inequalities and Interval Notation
7.4 Inequalities Involving Absolute Value
7.5 Factoring the Sum and Difference of Two Cubes
7.6 Review of Systems of Equations in Two Variables
7.7 Systems of Equations in Three Variables
7.8 Systems of Linear Inequalities
Summary
Review
Cumulative Review
Test
Projects

8. EQUATIONS AND INEQUALITIES IN TWO VARIABLES
8.1 The Slope of a Line
8.2 The Equation of a Line
8.3 Linear Inequalities in Two Variables
8.4 Introduction to Functions
8.5 Function Notation
8.6 Algebra with Functions
8.7 Variation
Summary
Review
Cumulative Review
Test
Projects

9. RATIONAL EXPONENTS AND ROOTS
9.1 Rational Exponents
9.2 More Expressions Involving Rational Exponents
9.3 Simplified Form for Radicals
9.4 Addition and Subtraction of Radical Expressions
9.5 Multiplication and Division of Radical Expressions
9.6 Equations with Radicals
9.7 Complex Numbers
Summary
Review
Cumulative Review
Test
Projects

10. QUADRATIC EQUATIONS
10.1 Completing the Square
10.2 The Quadratic Formula
10.3 Additional Items Involving Solutions to Equations
10.4 Equations Quadratic in Form
10.5 Graphing Parabolas
10.6 Quadratic Inequalities
Summary
Review
Cumulative Review
Test
Projects

11. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
11.1 Exponential Functions
11.2 The Inverse of a Function
11.3 Logarithms are Exponents
11.4 Properties of Logarithms
11.5 Common Logarithms and Natural Logarithms
11.6 Exponential Equations and Change of Base
Summary
Review
Cumulative Review
Test
Projects

12. CONIC SECTIONS
12.1 The Circle
12.2 Ellipses and Hyperbolas
12.3 Second-degree Inequalities and Nonlinear Systems
Summary
Review
Cumulative Review
Test
Projects

13. SEQUENCES AND SERIES
13.1 Sequences
13.2 Series
13.3 Arithmetic Sequences
13.4 Geometric Sequences
13.5 The Binomial Expansion
Summary
Review
Cumulative Review
Test
Projects

Appendix A: Synthetic Division
Appendix B: Introduction to Determinants
Appendix C: Cramer's Rule
Appendix D: Matrix Solutions to Systems of Equations
Answers to Odd-Numbered Problems, Chapter Reviews, and Chapter Tests.
Index.