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)

Compound Inequalities

Descartes’ Rule of Signs

Distance Formula

Distance Formula: Derivation

Distance Formula Practice Problems with Answers

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

Graphs of Parent Functions

Horizontal Line Test

Interval Notation

Interval Notation Practice Problems with Answers

Literal Equations

Mean, Median, Mode, and Range

Midpoint Formula

Multi-Step Equations

Multi-Step Equations Practice Problems with Answers

Multi-Step Linear Inequalities

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

Two-Step Equations

Two-Step Equations Practice Problems with Answers

Variation: Direct

Variation: Inverse

Vertical Line Test

x and y Intercepts

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