Note: each chapter concludes with a Group Activity, Chapter Summary, Chapter Review Exercises, Chapter Test, and after Chapter 1, a set of Cumulative Review Exercises.
Chapter 1: Review of the Real Number System
1.1 Basic Concepts
1.2 Operations on Real Numbers
1.3 Exponents, Roots, and Order of Operations
1.4 Properties of Real Numbers
Chapter 2: Linear Equations, Inequalities, and Applications
2.1 Linear Equations in One Variable
2.2 Formulas
2.3 Applications of Linear Equations
2.4 Further Applications of Linear Equations
Summary Exercises on Solving Applied
Problems
2.5 Linear Inequalities in One Variable
2.6 Set Operations and Compound Inequalities
2.7 Absolute Value Equations and Inequalities
Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities
Chapter 3: Graphs, Linear Equations, and Functions
3.1 The Rectangular Coordinate System
3.2 The Slope of a Line
3.3 Linear Equations in Two Variables
Summary Exercises on Slopes and Equations of Lines
3.4 Linear Inequalities in Two Variables
3.5 Introduction to Functions
Chapter 4: Systems of Linear Equations
4.1 Systems of Linear Equations in Two Variables
4.2 Systems of Linear Equations in Three Variables
4.3 Applications of Systems of Linear Equations
4.4 Solving Systems of Linear Equations by Matrix Methods
Chapter 5: Exponents, Polynomials, and Polynomial Functions
5.1 Integer Exponents and Scientific Notation
5.2 Adding and Subtracting Polynomials
5.3 Polynomial Functions, Graphs, and Composition
5.4 Multiplying Polynomials
5.5 Dividing Polynomials
Chapter 6: Factoring
6.1 Greatest Common Factors; Factoring by Grouping
6.2 Factoring Trinomials
6.3 Special Factoring
6.4 A General Approach to Factoring
6.5 Solving Equations by Factoring
Chapter 7: Rational Expressions and Functions
7.1 Rational Expressions and Functions; Multiplying and Dividing
7.2 Adding and Subtracting Rational Expressions
7.3 Complex Fractions
7.4 Equations with Rational Expressions and Graphs
Summary Exercises on Rational Expressions and Equations
7.5 Applications of Rational Expressions
7.6 Variation
Chapter 8: Roots, Radicals, and Root Functions
8.1 Radical Expressions and Graphs
8.2 Rational Exponents
8.3 Simplifying Radical Expressions
8.4 Adding and Subtracting Radical Expressions
8.5 Multiplying and Dividing Radical Expressions
Summary Exercises on Operations with Radicals and Rational Exponents
8.6 Solving Equations with Radicals
8.7 Complex Numbers
Chapter 9 Quadratic Equations, Inequalities, and Functions
9.1 The Square Root Property and Completing the Square
9.2 The Quadratic Formula
9.3 Equations Quadratic in Form
Summary Exercises on Solving Quadratic Equations
9.4 Formulas and Further Applications
9.5 Graphs of Quadratic Functions
9.6 More about Parabolas and Their Applications
9.7 Quadratic and Rational Inequalities
Chapter 10: Inverse, Exponential, and Logarithmic Functions
10.1 Inverse Functions
10.2 Exponential Functions
10.3 Logarithmic Functions
10.4 Properties of Logarithms
10.5 Common and Natural Logarithms
10.6 Exponential and Logarithmic Equations; Further Applications
Chapter 11: Nonlinear Functions, Conic Sections, and Nonlinear Systems
11.1 Additional Graphs of Functions
11.2 The Circle and the Ellipse
11.3 The Hyperbola and Functions Defined by Radicals
11.4 Nonlinear Systems of Equations
11.5 Second-Degree Inequalities and Systems of Inequalities
Chapter 12: Sequences and Series
12.1 Sequences and Series
12.2 Arithmetic Sequences
12.3 Geometric Sequences
12.4 The Binomial Theorem
Appendixes
A: An Introduction to Calculators
B: Determinants and Cramer's Rule
C: Synthetic Division
