Note: every chapter concludes with a Chapter Summary and Review and a Chapter Test. Chapters 3, 6, 9, 12, and 14 also have a Cumulative Review.
1. Introduction to Algebraic Expressions
1.1 Introduction to Algebra
1.2 The Commutative, Associative, and Distributive Laws
1.3 Fraction Notation
1.4 Positive and Negative Real Numbers
1.5 Addition of Real Numbers
1.6 Subtraction of Real Numbers
1.7 Multiplication and Division of Real Numbers
1.8 Exponential Notation and Order of Operations
2. Equations, Inequalities, and Problem Solving
2.1 Solving Equations
2.2 Using the Principles Together
2.3 Formulas
2.4 Applications with Percent
2.5 Problem Solving
2.6 Solving Inequalities
2.7 Solving Applications with Inequalities
3. Introduction to Graphing and Functions
3.1 Reading Graphs, Plotting Points, and Scaling Graphs
3.2 Graphing Equations
3.3 Linear Equations and Intercepts
3.4 Rates
3.5 Slope
3.6 Slope-Intercept Form
3.7 Point-Slope Form; Introduction to Curve Fitting
3.8 Functions
4. Systems of Equations in Two Variables
4.1 Systems of Equations and Graphing
4.2 Systems of Equations and Substitution
4.3 Systems of Equations and Elimination
4.4 More Applications Using Systems
4.5 Solving Equations by Graphing
5. Polynomials
5.1 Exponents and Their Properties
5.2 Negative Exponents and Scientific Notation
5.3 Polynomials and Polynomial Functions
5.4 Addition and Subtraction of Polynomials
5.5 Multiplication of Polynomials
5.6 Special Products
5.7 Polynomials in Several Variables
5.8 Division of Polynomials
5.9 The Algebra of Functions
6. Polynomial Factorizations and Equations
6.1 Introduction to Polynomial Factorizations and Equations
6.2 Equations Containing Trinomials of the Type x2 + bx + c
6.3 Equations Containing Trinomials of the Type ax2 + bx + c
6.4 Equations Containing Perfect-Square Trinomials and Differences of Squares
6.5 Equations Containing Sums or Differences of Cubes
6.6 Factoring: A General Strategy
6.7 Applications of Polynomial Equations
7. Rational Expressions, Equations, and Functions
7.1 Rational Expressions and Functions
7.2 Multiplication and Division
7.3 Addition, Subtraction, and Least Common Denominators
7.4 Addition and Subtraction with Unlike Denominators
7.5 Complex Rational Expressions
7.6 Rational Equations
7.7 Applications Using Rational Equations and Proportions
7.8 Formulas, Applications, and Variation
8. Inequalities
8.1 Graphical Solutions and Compound Inequalities
8.2 Absolute-Value Equations and Inequalities
8.3 Inequalities in Two Variables
8.4 Polynomial and Rational Inequalities
9. More on Systems
9.1 Systems of Equations in Three Variables
9.2 Solving Applications: Systems of Three Equations
9.3 Elimination Using Matrices
9.4 Determinants and Cramer's Rule
9.5 Business and Economics Applications
10. Exponents and Radical Functions
10.1 Radical Expressions, Functions, and Models
10.2 Rational Numbers as Exponents
10.3 Multiplying Radical Expressions
10.4 Dividing Radical Expressions
10.5 Expressions Containing Several Radical Terms
10.6 Solving Radical Equations
10.7 Geometric Applications
10.8 The Complex Numbers
11. Quadratic Functions and Equations
11.1 Quadratic Equations
11.2 The Quadratic Formula
11.3 Applications Involving Quadratic Equations
11.4 Studying Solutions of Quadratic Equations
11.5 Equations Reducible to Quadratic
11.6 Quadratic Functions and Their Graphs
11.7 More About Graphing Quadratic Functions
11.8 Problem Solving and Quadratic Functions
12. Exponential and Logarithmic Functions
12.1 Composite and Inverse Functions
12.2 Exponential Functions
12.3 Logarithmic Functions
12.4 Properties of Logarithmic Functions
12.5 Natural Logarithms and Changing Bases
12.6 Solving Exponential and Logarithmic Equations
12.7 Applications of Exponential and Logarithmic Functions
13. Conic Sections*
13.1 Conic Sections: Parabolas and Circles
13.2 Conic Sections: Ellipses
13.3 Conic Sections: Hyperbolas
13.4 Nonlinear Systems of Equations
14. Sequences, Series, and the Binomial Theorem*
14.1 Sequences and Series
14.2 Arithmetic Sequences and Series
14.3 Geometric Sequences and Series
14.4 The Binomial Theorem
R. Elementary Algebra Review
R.1 Introduction to Algebraic Expressions
R.2 Equations, Inequalities, and Problem Solving
R.3 Introduction to Graphing and Functions
R.4 Systems of Equations in Two Variables
R.5 Polynomials
R.6 Polynomial Factorizations and Equations
Appendix A: Working with Units
Appendix B: Distance, Midpoints, and Circles
*Available on included CD-ROM
