Introductory Algebra

2.1a Variables and Algebraic Expressions

2.1b Simplifying Expressions

2.1c Simplifying Expressions with Parentheses

2.1d Evaluating Algebraic Expressions

2.2a Reduction of Fractions

2.2b Multiplication and Division with Fractions

2.3 Addition and Subtraction with Fractions

2.4 Decimals and Fractions

2.5 Order of Operations with Negative Numbers and Fractions

2.6 Translating Phrases into Algebraic Expressions

3.1a Solving Linear Equations Using Addition and Subtraction

3.1b Applications of Linear Equations: Addition and Subtraction

3.1c Solving Linear Equations Using Multiplication and Division

3.1d Applications of Linear Equations: Multiplication and Division

3.2 Solving Linear Equations

3.3 More Linear Equations: ax + b = dx + c

3.4 Solving Linear Inequalities

3.5a Solving Formulas

3.5b Working with Formulas

3.6 Applications: Number Problems and Consecutive Integers

3.7 Percents and Applications

3.8 Formulas in Geometry

4.1 Introduction to the Cartesian Coordinate System

4.2 Graphing Linear Equations by Plotting Points

4.3 The Slope-Intercept Form: y = mx + b

4.4 Finding the Equation of a Line

4.5 Introduction to Functions and Function Notation

4.6 Graphing Linear Inequalities

6.1 Simplifying Integer Exponents I

6.2a Simplifying Integer Exponents II

6.2b Scientific Notation

6.3a Identifying Polynomials

6.3b Evaluating Polynomials

6.4 Adding and Subtracting Polynomials

6.5a Multiplying a Polynomial by a Monomial

6.5b Multiplying Two Polynomials

6.6a The FOIL Method

6.6b Special Products

6.7a Division by a Monomial

6.7b The Division Algorithm

7.1a Greatest Common Factor of Two or More Terms

7.1b Greatest Common Factor of a Polynomial

7.1c Factoring Expressions by Grouping

7.2 Factoring Trinomials: Leading Coefficient 1

7.3a Factoring Trinomials by Grouping

7.3b Factoring Trinomials by Trial and Error

7.4 Special Factorizations - Squares

7.5 Solving Quadratic Equations by Factoring

7.6 Applications of Quadratic Equations

8.1a Defining Rational Expressions

8.1b Reducing Rational Expressions

8.2 Multiplication and Division of Rational Expressions

8.3 Addition and Subtraction of Rational Expressions

8.4 Complex Algebraic Fractions

8.5 Solving Equations Involving Rational Expressions

8.6 Applications Involving Rational Expressions

8.7 Additional Applications: Variation

9.1 Evaluating Radicals

9.2 Simplifying Radicals

9.3a Addition and Subtraction of Radicals

9.3b Multiplication of Radicals

9.4a Rationalizing Denominators

9.4b Division of Radicals

9.5 Solving Radical Equations

9.6 Rational Exponents

9.7 The Pythagorean Theorem