Ch 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

Ch 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

Ch 3. Introduction to Graphing
3.1 Reading Graphs, Plotting Points, and Scaling Graphs
3.2 Graphing Linear Equations
3.3 Graphing and Intercepts
3.4 Rates
3.5 Slope
3.6 Slope–Intercept Form
3.7 Point–Slope Form

Ch 4. Polynomials
4.1 Exponents and Their Properties
4.2 Negative Exponents and Scientific Notation
4.3 Polynomials
4.4 Addition and Subtraction of Polynomials
4.5 Multiplication of Polynomials
4.6 Special Products
4.7 Polynomials in Several Variables
4.8 Division of Polynomials

Ch 5. Polynomials and Factoring
5.1 Introduction to Factoring
5.2 Factoring Trinomials of the Type x² + bx + c
5.3 Factoring Trinomials of the Type ax² + bx + c
5.4 Factoring Perfect-Square Trinomials and Differences of Squares
5.5 Factoring Sums or Differences of Cubes
5.6 Factoring: A General Strategy
5.7 Solving Polynomial Equations by Factoring
5.8 Solving Applications

Ch 6. Rational Expressions and Equations
6.1 Rational Expressions
6.2 Multiplication and Division
6.3 Addition, Subtraction, and Least Common Denominators
6.4 Addition and Subtraction with Unlike Denominators
6.5 Complex Rational Expressions
6.6 Solving Rational Equations
6.7 Applications Using Rational Equations and Proportions

Ch 7. Functions and Graphs
7.1 Introduction to Functions
7.2 Domain and Range
7.3 Graphs of Functions
7.4 The Algebra of Functions
7.5 Formulas, Applications, and Variation

Ch 8. Systems of Linear Equations and Problem Solving
8.1 Systems of Equations in Two Variables
8.2 Solving by Substitution or Elimination
8.3 Solving Applications: Systems of Two Equations
8.4 Systems of Equations in Three Variables
8.5 Solving Applications: Systems of Three Equations
8.6 Elimination Using Matrices
8.7 Determinants and Cramer’s Rule
8.8 Business and Economics Applications

Ch 9. Inequalities and Problem Solving
9.1 Inequalities and Domain
9.2 Intersections, Unions, and Compound Inequalities
9.3 Absolute-Value Equations and Inequalities
9.4 Inequalities in Two Variables
9.5 Applications Using Linear Programming

Ch 10. Exponents and Radicals
10.1 Radical Expressions and Functions
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 The Distance and Midpoint Formulas and Other Applications
10.8 The Complex Numbers

Ch 11. Quadratic Functions and Equations
11.1 Quadratic Equations
11.2 The Quadratic Formula
11.3 Studying Solutions of Quadratic Equations
11.4 Applications Involving 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
11.9 Polynomial and Rational Inequalities

Ch 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 Common and Natural Logarithms
12.6 Solving Exponential and Logarithmic Equations
12.7 Applications of Exponential and Logarithmic Functions

Ch 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

Ch 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