Preface
Chapter 1  Prerequisites
Introduction to Prerequisites
1.1 Real Numbers: Algebra Essentials
1.2 Exponents and Scientific Notation
1.3 Radicals and Rational Exponents
1.4 Polynomials
1.5 Factoring Polynomials
1.6 Rational Expressions
Chapter Review
Key Terms
Key Equations
Key Concepts
Exercises
Review Exercises
Practice Test
Chapter 2  Equations and Inequalities
Introduction to Equations and Inequalities
2.1 The Rectangular Coordinate Systems and Graphs
2.2 Linear Equations in One Variable
2.3 Models and Applications
2.4 Complex Numbers
2.5 Quadratic Equations
2.6 Other Types of Equations
2.7 Linear Inequalities and Absolute Value Inequalities
Chapter Review
Key Terms
Key Equations
Key Concepts
Exercises
Review Exercises
Practice Test
Chapter 3  Functions
Introduction to Functions
3.1 Functions and Function Notation
3.2 Domain and Range
3.3 Rates of Change and Behavior of Graphs
3.4 Composition of Functions
3.5 Transformation of Functions
3.6 Absolute Value Functions
3.7 Inverse Functions
Chapter Review
Key Terms
Key Equations
Key Concepts
Exercises
Review Exercises
Practice Test
Chapter 4  Linear Functions
Introduction to Linear Functions
4.1 Linear Functions
4.2 Modeling with Linear Functions
4.3 Fitting Linear Models to Data
Chapter Review
Key Terms
Key Concepts
Exercises
Review Exercises
Practice Test
Chapter 5  Polynomial and Rational Functions
Introduction to Polynomial and Rational Functions
5.1 Quadratic Functions
5.2 Power Functions and Polynomial Functions
5.3 Graphs of Polynomial Functions
5.4 Dividing Polynomials
5.5 Zeros of Polynomial Functions
5.6 Rational Functions
5.7 Inverses and Radical Functions
5.8 Modeling Using Variation
Chapter Review
Key Terms
Key Equations
Key Concepts
Exercises
Review Exercises
Practice Test
Chapter 6  Exponential and Logarithmic Functions
Introduction to Exponential and Logarithmic Functions
6.1 Exponential Functions
6.2 Graphs of Exponential Functions
6.3 Logarithmic Functions
6.4 Graphs of Logarithmic Functions
6.5 Logarithmic Properties
6.6 Exponential and Logarithmic Equations
6.7 Exponential and Logarithmic Models
6.8 Fitting Exponential Models to Data
Chapter Review
Key Terms
Key Equations
Key Concepts
Exercises
Review Exercises
Practice Test
Chapter 7  Systems of Equations and Inequalities
Introduction to Systems of Equations and Inequalities
7.1 Systems of Linear Equations: Two Variables
7.2 Systems of Linear Equations: Three Variables
7.3 Systems of Nonlinear Equations and Inequalities: Two Variables
7.4 Partial Fractions
7.5 Matrices and Matrix Operations
7.6 Solving Systems with Gaussian Elimination
7.7 Solving Systems with Inverses
7.8 Solving Systems with Cramer's Rule
Chapter Review
Key Terms
Key Equations
Key Concepts
Exercises
Review Exercises
Practice Test
Chapter 8  Analytic Geometry
Introduction to Analytic Geometry
8.1 The Ellipse
8.2 The Hyperbola
8.3 The Parabola
8.4 Rotation of Axes
8.5 Conic Sections in Polar Coordinates
Chapter Review
Key Terms
Key Equations
Key Concepts
Exercises
Review Exercises
Practice Test
Chapter 9  Sequences, Probability, and Counting Theory
Introduction to Sequences, Probability and Counting Theory
9.1 Sequences and Their Notations
9.2 Arithmetic Sequences
9.3 Geometric Sequences
9.4 Series and Their Notations
9.5 Counting Principles
9.6 Binomial Theorem
9.7 Probability
Chapter Review
Key Terms
Key Equations
Key Concepts
Exercises
Review Exercises
Practice Test
Answer Key
Chapter 1
Chapter 2
Chapter 3
Chapter 4
Chapter 5
Chapter 6
Chapter 7
Chapter 8
Chapter 9
Index