College Algebra

Chapter P: BASIC CONCEPTS OF ALGEBRA

• • P.1 The Real Numbers and Their Properties
• • P.2 Integer Exponents and Scientific Notation
• • P.3 Polynomials
• • P.4 Factoring Polynomials
• • P.5 Rational Expressions
• • P.6 Rational Exponents and Radicals
• • Chapter P Review and Tests
• • Review Exercises
• • Practice Test

Chapter 1: EQUATIONS AND INEQUALITIES

• • 1.1 Linear Equations in One Variable
• • 1.2 Applications of Linear Equations: Modeling
• • 1.3 Quadratic Equations
• • 1.4 Complex Numbers: Quadratic Equations with Complex Solutions
• • 1.5 Solving Other Types of Equations
• • 1.6 Inequalities
• • 1.7 Equations and Inequalities Involving Absolute Value
• • Chapter 1 Review and Tests
• • Review Exercises
• • Practice Test A
• • Practice Test B

Chapter 2: GRAPHS AND FUNCTIONS

• • 2.1 The Coordinate Plane
• • 2.2 Graphs of Equations
• • 2.3 Lines
• • 2.4 Functions
• • 2.5 Properties of Functions
• • 2.6 A Library of Functions
• • 2.7 Transformations of Functions
• • 2.8 Combining Functions; Composite Functions
• • 2.9 Inverse Functions
• • Chapter 2 Review and Tests
• • Review Exercises
• • Practice Test A
• • Practice Test B
• • Cumulative Review Exercises Chapters P - 2

Chapter 3: POLYNOMIAL AND RATIONAL FUNCTIONS

• • 3.1 Quadratic Functions
• • 3.2 Polynomial Functions
• • 3.3 Dividing Polynomials
• • 3.4 The Real Zeros of a Polynomial Function
• • 3.5 The Complex Zeros of a Polynomial Function
• • 3.6 Rational Functions
• • 3.7 Variation
• • Chapter 3 Review and Tests
• • Review Exercises
• • Practice Test A
• • Practice Test B
• • Cumulative Review Exercises Chapters P - 3

Chapter 4: EXPONENTIAL AND LOGARITHMIC FUNCTIONS

• • 4.1 Exponential Functions
• • 4.2 Logarithmic Functions
• • 4.3 Rules of Logarithms
• • 4.4 Exponential and Logarithmic Equations and Inequalities
• • 4.5 Logarithmic Scales; Modeling
• • Chapter 4 Review and Tests
• • Review Exercises
• • Practice Test A
• • Practice Test B
• • Cumulative Review Exercises Chapters P - 4

Chapter 5: SYSTEMS OF EQUATIONS AND INEQUALITIES

• • 5.1 Systems of Linear Equations in Two Variables
• • 5.2 Systems of Linear Equations in Three Variables
• • 5.3 Partial-Fraction Decomposition
• • 5.4 Systems of Nonlinear Equations
• • 5.5 Systems of Inequalities
• • 5.6 Linear Programming
• • Chapter 5 Review and Tests
• • Review Exercises
• • Practice Test A
• • Practice Test B
• • Cumulative Review Exercises Chapters P - 5

Chapter 6: MATRICES AND DETERMINANTS

• • 6.1 Matrices and Systems of Equations
• • 6.2 Matrix Algebra
• • 6.3 The Matrix Inverse
• • 6.4 Determinants and Cramer's Rule
• • Chapter 6 Review and Tests
• • Review Exercises
• • Practice Test A
• • Practice Test B
• • Cumulative Review Exercises Chapters P - 6

Chapter 7: CONIC SECTIONS

• • 7.1 Conic Sections: Overview
• • 7.2 The Parabola
• • 7.3 The Ellipse
• • 7.4 The Hyperbola
• • Chapter 7 Review and Tests
• • Review Exercises
• • Practice Test A
• • Practice Test B
• • Cumulative Review Exercises Chapters P - 7

Chapter 8: FURTHER TOPICS IN ALGEBRA

• • 8.1 Sequences and Series
• • 8.2 Arithmetic Sequences; Partial Sums
• • 8.3 Geometric Sequences and Series
• • 8.4 Mathematical Induction
• • 8.5 The Binomial Theorem
• • 8.6 Counting Principles
• • 8.7 Probability
• • Chapter 8 Review and Tests
• • Review Exercises
• • Practice Test A
• • Practice Test B
• • Cumulative Review Exercises Chapters P - 8