# Topic List By Modules

### Module 1: Real Numbers

• The Commutative, Associative, and Distributive Laws
• Fraction Notation
• Positive and Negative Real Numbers
• Subtraction of Real Numbers
• Multiplication and Division of Real Numbers
• Exponential Notation and Order of Operations
• Applications with Percent

### Module 2: Solving Linear Equations and Graphing Linear Equations

• Introduction to Algebra
• Solving Equations
• Using the Addition and Multiplication Principles Together
• Formulas
• Reading Graphs, Plotting Points, and Scaling Graphs
• Graphing Linear Equations
• Graphing and Intercepts
• Rates of Change
• Slope
• Slope-Intercept Form
• Point-Slope Form

### Module 3: Solving Linear Inequalities and Graphing Linear Inequalities

• Solving Inequalities
• Solving Applications with Inequalities
• Inequalities an Domain
• Intersections, Unions, and Compound Inequalities
• Absolute-Value Equations and Inequalities

### Module 4: Polynomials

• Exponents and Their Properties
• Negative Exponents and Scientific Notation
• Polynomials
• Addition and Subtraction of Polynomials
• Multiplication of Polynomials
• Special Products
• Polynomials in Several Variables
• Division of Polynomials

### Module 5: 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 Sums or Differences of Cubes
•      Factoring:  A General Strategy
•      Solving Polynomial Equations by Factoring
•      Solving Applications

### Module 6: Rational Expressions and Equations

• Rational Expressions
• Multiplication and Division of Rational Expressions
• Addition, Subtraction, and Least Common Denominators
• Addition and Subtraction with Unlike Denominators
• Complex Rational Expressions
• Solving Rational Equations
• Applications Using Rational Equations and Proportions

### Module 7: Systems of Equations and Inequalities

• Systems of Equations in Two Variables
• Solving by Substitution or Elimination
• Solving Applications:  Systems of Two Equations
• Inequalities in Two Variables

### Module 8: Radical Expressions and Equations

• Rational Numbers as Exponents
• Expressions Containing Several Radical Terms
• The Distance and Midpoint Formulas and Other Applications

• Introduction to Functions
• Domain and Range
• Graphs of Functions
• The Complex Numbers