Intermediate Algebra Lessons

Absolute Value Equations

Absolute Value Functions: How to Graph

Absolute Value Inequalities

Arithmetic Sequence: Definition

Arithmetic Sequence: Formula

Arithmetic Sequence: Practice Problems

Completing the Square (Step by Step)

Completing the Square (More Examples)

Descartes’ Rule of Signs

Distance Formula

Distance Formula: Derivation

Dividing Polynomials: Long Division Method

Dividing Polynomials: Synthetic Division Method

Domain and Range of Linear and Quadratic Functions

Domain and Range of Radical and Rational Functions

Even, Odd, and Neither Functions

Factorial: Notation, Formula, and Examples

Factorial: Dividing

Factorial: Simplifying with Variables

Factorial: Zero Factorial

Factoring Binomial: Sum/Difference of Two Cubes

Factoring Binomial: Sum/Difference of Two Cubes (Practice Problems)

Factoring Binomial: Difference of Two Squares

Factoring Binomial: Difference of Two Squares (Practice Problems)

Factoring Trinomial: “Box” Method

Factoring Trinomial: Easy Case

Factoring Trinomial: Hard Case

Graphing a Line (Quick Summary)

Graph a Line Using Slope and y-Intercept

Graph a Line Using Table of Values

Graph a Line Using x and y Intercepts

Graphing Linear Inequalities

Graphing Linear Inequalities: Examples

Graphing System of Linear Inequalities

Graphing Vertical and Horizontal Lines

Horizontal Line Test

Linear Equations: Solving Two-Step Equations

Linear Equations: Solving Multi-Step Equations

Linear Inequalities: Solving Multi-Step Linear Inequalities

Literal Equations

Mean, Median, Mode, and Range

Midpoint Formula

Parallel and Perpendicular Lines: Find Their Equations

Parallel and Perpendicular Lines: Their Slopes

Polynomials: Addition and Subtraction

Polynomials: Multiplying Binomials using FOIL Method

Polynomials: Multiplication

Quadratic Formula: How to Derive

Radical Equations

Radical Expressions: Adding and Subtracting

Radical Expressions: Multiplying

Radical Expressions: Rationalizing the Denominator

Radical Expressions: Simplifying

Rational Roots Test

Relations and Functions

Remainder Theorem

Rules of Exponents

Slope of a Straight Line: Types of Slope

Slope of a Straight Line: Slope Formula

Straight Line: Slope-Intercept Form

Straight Line: Point-Slope Form

Systems of Equations: Substitution Method

Systems of Equations: Elimination Method

Solving Quadratic Equations by Square Root Method

Solving Quadratic Equations by Factoring Method

Solving Quadratic Equations by the Quadratic Formula

Solving Quadratic Equations by Completing the Square

Variation: Direct

Variation: Inverse

Vertical Line Test

x and y Intercepts