- Exponents, Prime Numbers, and LCM
- Introduction to Fractions and Mixed Numbers
- Ratios and Rates
- Multiplication and Division with Fractions and Mixed Numbers
- Addition and Subtraction with Fractions
- Addition and Subtraction with Mixed Numbers
- Order of Operations with Fractions and Mixed Numbers

- Introduction to Decimal Numbers
- Addition and Subtraction with Decimal Numbers
- Multiplication with Decimal Numbers
- Division with Decimal Numbers
- Decimal Numbers and Fractions

- Decimal Numbers and Percents
- Fractions and Percents
- Solving Percent Problems by Using the Equation:
`R*B = A` - Applications: Discount, Sales Tax, Commission, and Percent Increase/Decrease
- Applications: Simple Interest

- The Real Number Line and Inequalities
- Introduction to Absolute
- Exponents
- Square Roots
- Addition with Real Numbers
- Subtraction with Real Numbers
- Multiplication and Division with Real Numbers
- Order of Operations with Real Numbers
- Properties of Real Numbers
- Scientific Notation

- Simplifying and Evaluating Algebraic Expressions
- Solving Linear Equations:
`x+b=c` - Solving Linear Equations:
`ax=c` - Solving Proportions

- Translating English Phrases and Algebraic Expressions
- Solving Linear Equations:
`x+b=c` - Solving Linear Equations:
`ax=c` - Solving Linear Equations:
`ax+b=c` - Solving Linear Equations:
`ax+b=cx+d` - Working with Formulas
- Applications: Number Problems and Consecutive Integers
- Applications: Distance-Rate-Time, Interest, Average
- Solving Absolute Value Equations
- Linear Inequalities

- The Cartesian Coordinate System
- Graphing Linear Equations in Two Variables
- The Slope-Intercept Form
- Finding the Equation of a Line
- The Point-Slope Form
- Graphing Linear Inequalities in Two Variables
- Introduction to Functions and Function Notation

- Systems of Linear Equations: Solutions by Graphing
- Systems of Linear Equations: Solutions by Substitution
- Systems of Linear Equations: Solutions by Addition
- Applications: Distance-Rate-Time, Number Problems, Amounts, and Costs
- Applications: Interest and Mixture

- Exponents
- Exponents and Scientific Notation
- Introduction to Polynomials
- Addition and Subtraction with Polynomials
- Multiplication with Polynomials
- The FOIL Method
- Division by a Monomial

- Greatest Common Factor of Two or More Terms
- Greatest Common Factor of a Polynomial
- Factoring Expressions by Grouping
- Factoring Trinomials with Leading Coefficient 1
- Factoring Trinomials by Trial and Error
- Factoring Trinomials by the
`ac`-Method - Special Factorizations - Squares
- Special Factorizations - Cubes
- Additional Factoring Practice
- Solving Quadratic Equations by Factoring
- Applications of Quadratic Equations

- Introduction to Rational Expressions
- Multiplication and Division with Rational Expressions
- Addition and Subtraction with Rational Expressions
- Complex Fractions
- Division by a Monomial
- The Division Algorithm
- Solving Equations with Rational Expressions
- Applications: Rational Expressions

- Evaluating Radicals
- Simplifying Radicals
- Rational Exponents
- Addition and Subtraction with Radicals
- Multiplication with Radicals
- Rationalizing Denominators
- Equations with Radicals
- Complex Numbers
- Applications: The Pythagorean Theorem
- Applications: Distance Formula and Circles