Intermediate Algebra
Seventh Edition, 2004
Charles P. McKeague
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Contents
Preface to the Instructor
Preface to the Student
1. BASIC PROPERTIES
AND DEFINITIONS
1.1 Fundamental Definitions and Notation
1.2 The Real Numbers
1.3 Properties of Real Numbers
1.4 Arithmetic with Real Numbers
1.5 Recognizing Patterns
Summary
Review
Test
Projects 2. LINEAR EQUATIONS AND INEQUALITIES IN ONE VARIABLE
2.1 Linear Equations in One Variable
2.2 Formulas
2.3 Applications
2.4 Linear
Inequalities in One Variable
2.5 Equations with Absolute Value
2.6 Inequalities
Involving Absolute Value
Summary
Review
Cumulative Review
Test
Projects
3. EQUATIONS AND INEQUALITIES IN TWO VARIABLES
3.1 Paired Data and the Rectangular Coordinate System
3.2 The Slope of a
Line
3.3 The Equation of a Line
3.4 Linear Inequalities in Two Variables
3.5 Introduction to Functions
3.6 Function Notation
3.7 Algebra and Composition
with Functions
3.8 Variation
Summary
Review
Cumulative Review
Test
Projects
4. SYSTEMS OF LINEAR EQUATIONS AND INEQUALITIES
4.1 Systems of Linear
Equations in Two Variables
4.2 Systems of Linear Equations
in Three Variables
4.3 Introduction to Determinants
4.4 Cramer's Rule
4.5 Applications
4.6 Systems of Linear Inequalities
Summary
Review
Cumulative Review
Test
Projects
5. EXPONENTS AND POLYNOMIALS
5.1 Properties of Exponents
5.2 Polynomials, Sums, and Differences
5.3 Multiplication
of Polynomials
5.4 The Greatest Common Factor and Factoring by Grouping
5.5 Factoring
Trinomials
5.6 Special Factoring
5.7 Factoring: A General Review
5.8 Solving Equations
by Factoring
Summary
Review
Cumulative Review
Test
Projects
6. RATIONAL EXPRESSIONS AND RATIONAL FUNCTIONS
6.1 Basic Properties and Reducing to Lowest Terms
6.2 Division of Polynomials
6.3 Multiplication and Division of Rational Expressions
6.4 Addition and Subtraction
of Rational Expressions
6.5 Complex Fractions
6.6 Equations Involving Rational
Expressions
6.7 Applications
Summary
Review
Cumulative Review
Test
Projects
7. RATIONAL EXPONENTS AND ROOTS
7.1 Rational Exponents
7.2 More Expressions Involving Rational Exponents
7.3 Simplified Form for Radicals
7.4 Addition and Subtraction of Radical Expressions
7.5 Multiplication and
Division of Radical Expressions
7.6 Equations with Radicals
7.7 Complex Numbers
Summary
Review
Cumulative Review
Test
Projects
8. QUADRATIC FUNCTIONS
8.1 Completing the Square
8.2 The Quadratic Formula
8.3 Additional Items Involving
Solutions to Equations
8.4 Equations Quadratic in Form
8.5 Graphing Parabolas
8.6 Quadratic Inequalities
Summary
Review
Cumulative Review
Test
Projects
9. EXPONENTIAL AND LOGARITHMIC FUNCTIONS
9.1 Exponential Functions
9.2 The Inverse of a Function
9.3 Logarithms are
Exponents
9.4 Properties of Logarithms
9.5 Common Logarithms and Natural
Logarithms
9.6 Exponential Equations and Change of Base
Summary
Review
Cumulative Review
Test
Projects
10. CONIC SECTIONS
10.1 The Circle
10.2 Ellipses and Hyperbolas
10.3 Second-degree Inequalities and
Nonlinear Systems
Summary
Review
Cumulative Review
Test
Projects
11. SEQUENCES AND SERIES
11.1 Sequences
11.2 Series
11.3 Arithmetic Sequences
11.4 Geometric Sequences
11.5 The
Binomial Expansion
Summary
Review
Cumulative Review
Test
Projects
Appendix A: Synthetic Division
Appendix B: Matrix Solutions to Linear Systems
Appendix C: Conditional Statements
Answers to Odd-Numbered Problems, Chapter Reviews, Chapter Tests,
and Cumulative Reviews
Index
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