<>1. Introduction to Algebraic Expressions
Introduction to Algebra
The Commutative, Associative, and Distributive Laws
Fraction Notation
Positive and Negative Real Numbers
Addition of Real Numbers
Subtraction of Real Numbers
Multiplication and Division of Real Numbers
Exponential Notation and Order of Operations
2. Equations, Inequalities, and Problem Solving
Solving Equations
Using the Principles Together
Formulas
Applications with Percent
Problem Solving
Solving Inequalities
Solving Applications with Inequalities
3. Introduction to Graphing
Reading Graphs, Plotting Points, and Scaling Graphs
Graphing Linear Equations
Graphing and Intercepts
Rates
Slope
Slope-Intercept Form
Point-Slope Form
4. Polynomials
Exponents and Their Properties
Polynomials
Addition and Subtraction of Polynomials
Multiplication of Polynomials
Special Products
Polynomials in Several Variables
Division of Polynomials
Negative Exponents and Scientific Notation
5. Polynomials and Factoring
Introduction to Factoring
Factoring Trinomials of the Type x2 + bx + c
Factoring Trinomials of the Type ax2 + bx + c
Factoring Perfect-Square Trinomials and Differences of Squares
Factoring: A General Strategy
Solving Quadratic Equations by Factoring
Solving Applications
6. Rational Expressions and Equations
Rational Expressions
Multiplication and Division
Addition, Subtraction, and Least Common Denominators
Addition and Subtraction with Unlike Denominators
Complex Rational Expressions
Solving Rational Equations
Applications Using Rational Equations and Proportions
7. Systems and More Graphing
Systems of Equations and Graphing
Systems of Equations and Substitution
Systems of Equations and Elimination
More Applications Using Systems
Linear Inequalities in Two Variables
Systems of Linear Inequalities
Direct and Inverse Variation
8. Radical Expressions and Equations
Introduction to Square Roots and Radical Expressions
Multiplying and Simplifying Radical Expressions
Quotients Involving Square Roots
Radical Expressions with Several Terms
Radical Equations
Applications Using Right Triangles
Higher Roots and Rational Exponents
9. Quadratic Equations
Solving Quadratic Equations: The Principle of Square Roots
Solving Quadratic Equations: Completing the Square
The Quadratic Formula and Applications
Formulas
Complex Numbers as Solutions of Quadratic Equations
Graphs of Quadratic Equations
Functions
Appendixes
A Factoring Sums or Differences of Cubes
B Mean, Median and Mode
C Sets
Tables
1 Fraction and Decimal Equivalents
2 Squares and Square Roots with Approximations to Three Decimal Places
Answers A-1
Glossary G-1
Index I-1
Index of Applications I-7
