Intermediate Algebra Tutorials

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Basic Fraction Review: Zero in Fractions, Negative Fractions, Reducing Fractions (YouTube)
Solving a Rational Equation
Solving a Formula with Fractions

Definition of a Function; Introduction to Function Notation (YouTube)
Function Notation (YouTube)
Finding Information from the Graph of a Function
Finding the Domain & Range of a Function by Looking at Its Graph

Function Arithmetic (Adding, Subtracting, Multiplying, Dividing)
Function Composition

Direct Variation
Inverse Variation
Joint Variation
Solving a Word Problem Involving Multiple Types of Variations

Interval Notation
Inequality Basics (YouTube)
Understanding Compound Inequalities (YouTube)
Examples: Solving Compound Inequalities (YouTube)
The Meaning of a Three-Sided Inequality
Solving and Graphing Linear Inequalities in Two Variables

Exponent Basics
Understanding Even and Odd Roots
Roots that Need Absolute Values
Roots That Are Not Real Numbers
Basic Root Simplification

Rational (Fraction) Exponents
More Examples with Rational Exponents
Examples of Exponent Laws in Conjunction with Rational Exponents

Multiplying, Dividing, and Simplifying Radicals
Examples of Simplifying Radicals with Real Numbers

Adding and Subtracting Radicals

Multiplying Radicals

Rationalizing a Radical Expression with One Term
Rationalizing a Denominator with One Term
Rationalizing a Radical Expression with Two Terms
Rationalizing a Denominator with Two Terms


Dividing Complex Numbers

General Method of Completing the Square (YouTube)

Solving a Quadratic Equation by Using a Square Root (Completing the Square) (YouTube)

A Formula for Solving Quadratic Equations (The Quadratic Formula) (YouTube)
Solving a Quadratic Equation Using the Quadratic Formula (YouTube)
Finding x- and y-intercepts of a Quadratic Function that Does Not Factor (YouTube)

Graphing a Quadratic Function in Standard Form By Using Symmetric Points (YouTube)
Examples of Graphing Quadratic Functions in Standard Form (YouTube)
Finding the Vertex of a Quadratic Function in Standard Form and then Determining if it is a Minimum or Maximum (YouTube)

Completing the Square to Write a Quadratic Function in Standard Form (YouTube)
The Vertex Formula for a Quadratic Function (YouTube)
An Application of the Vertex of a Quadratic Function (YouTube)