Section 1

Basic Set Theory

Interval Notation

Section 2

Properties of Addition and Multiplication

Properties of Negatives

Properties of Fractions

Properties of Integer Exponents

Order of Operations

Properties of Radicals

Section 3

Solving Equations

Solving Inequalities

Section 4

Solving Absolute Value Equations

Solving Absolute Value Inequalities

Section 5

Polynomial Terminology

Polynomial Addition, Subtraction, & Multiplication

Polynomial Long Division

Section 6

Factoring Greatest Common Factor & Common Formulas

Solving Equations by Factoring

Section 7

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations Using the Quadratic Formula

Section 8

Simplifying Rational Expressions

Solving Rational Equations

Section 9

Simplifying Radicals

Solving Power and Radical Equations

Rationalizing and Conjugating Radicals

Another Rationalizing Example

Section 10

Complex Numbers

Practice Problems & Solutions

Practice Problems (credit to Courtney Comley)

You have completed the Companion Course. I sincerely hope you’ve gotten everything you needed out of it.

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