Chapter 1: The Real Number System

• The Real Numbers
• Operations with Real Numbers
• Properties of the Real Numbers
• Addition, Subtraction, Multiplication, Division

Chapter 2: Algebra Basics, Equations, and Inequalities

• Algebraic Expressions
• The Coordinate Plane
• The Graph of an Expression
• Solving Linear Equations
• Inequalities

Chapter 3: Modeling and Applications

• Ratio and Proportion
• Percents, Formulas, Translations
• Things of Value
• Business Sales
• Distance, Rate, and Time

Chapter 4: Properties of Lines

• Linear Equations in Two Variables
• Intercepts and Special Cases
• Slope of a Line
• Parallel and Perpendicular Lines
• Equations of Lines
• Graphs of Linear Inequalities

Chapter 5: Systems of Linear Equations

• Graphing and Substition
• The Addition Method
• Applications
• Systems of Linear Inequalities

Chapter 6: Exponents and Polynomials

• Addition and Subtraction
• Multiplication
• Division

Chapter 7: Factoring

• Common Factors and Grouping
• Special Factoring
• Factoring Trinomials
• Solving Equations by Factoring

Chapter 8: Rational Expressions

• Introduction to Rational Expressions
• Multiplication and Division
• Addition and Subtraction (Like and Unlike Denominators)
• Complex Fractions
• Equations with Rational Expressions
• Applications

Chapter 9: Radical Expressions

• Radicals
• Product Rule for Radicals
• Quotient Rule for Radicals
• Operations with Radicals
• Equations with Radicals
• Rational Exponents

Chapter 10: Quadratic Equations and Functions

• Special Methods
• Completing the Square
• The Quadratic Formula
• Complex Numbers
• Graphs of Quadratic Equations
• Functions