Review of Real Numbers
Symbols and Sets of Numbers
Fractions
Exponents and Order of Operations
Introduction to Variable Expressions and Equations
Adding Real Numbers
Subtracting Real Numbers
Multiplying and Dividing Real Numbers
Properties of Real Numbers
Reading Graphs
Equation, Inequalities, and Problem Solving
Simplifying Algebraic Expressions
The Addition Property of Equality
The Multiplication Property of Equality
Solving Linear Equations
An Introduction to Problem Solving
Formulas and Problem Solving
Percent and Problem Solving
Further Problem Solving
Solving Linear Inequalities
Graphing
The Rectangular Coordinate System
Graphing Linear Equations
Intercepts
Slope
Graphing Linear Inequalities
Exponents and Polynomials
Exponents
Adding and Subtracting Polynomials
Multiplying Polynomials
Special Products
Negative Exponents and Scientific Notation
Division of Polynomials
Factoring Polynomials
The Greatest Common Factor and Factoring by Grouping
Factoring Trinomials of the Form x2 + bx + c
Factoring Trinomials of the Form ax2 + bx + c
Factoring Binomials
Choosing a Factoring Strategy
Solving Quadratic Equations by Factoring
Quadratic Equations and Problem Solving
Rational Expressions
Simplifying Rational Expressions
Multiplying and Dividing Rational Expressions
Adding and Subtracting Rational Expressions with Common Denominators and Least Common Denominators
Adding and Subtracting Rational Expressions with Unlike Denominators
Simplifying Complex Fractions
Solving Equations Containing Rational Expressions
Ratio and Proportion
Rational Equations and Problem Solving
Further Graphing
The Slope-Intercept Form
The Point-Slope Form
Graphing Nonlinear Equations
An Introduction to Functions
Solving Systems of Linear Equations
Solving Systems of Linear Equations by Graphing
Solving Systems of Linear Equations by Substitution
Solving Systems of Linear Equations by Addition
Systems of Linear Equations and Problem Solving
Systems of Linear Inequalities
Roots and Radicals
Introduction to Radicals
Simplifying Radicals
Adding and Subtracting Radical Expressions
Multiplying and Dividing Radical Expressions
Solving Equations Containing Radicals
Radical Equations and Problem Solving
Rational Exponents
Solving Quadratic Equations
Solving Quadratic Equations by the Square Root Method
Solving Quadratic Equations by Completing the Square
Solving Quadratic Equations by the Quadratic Formula
Summary of Methods for Solving Quadratic Equations
Complex Solutions to Quadratic Equations
Graphing Quadratic Equations
Appendices
Operations on Decimals
Review of Angles, Lines, and Special Triangles
Review of Geometric Figures
Mean, Median, and Mode
Table of Squares and Square Roots
Answers to Selected Exercises
Index
Photo Credits