ALL ALGEBRA LESSONS
As a math teacher, I understand that a lot of students struggle with algebra. And since I am convinced that more students seek help in algebra than any other math subjects, I put more emphasis on writing more algebra lessons as they will serve as the foundation for the other subjects.
I also believe that acquiring strong algebra skill sets is a great foundation to learn other branches of mathematics such as Geometry, Trigonometry, and Calculus.
Below is a list of all the algebra lessons that I have written. They are divided into these following four (4) categories:
Each link will take you directly to the lesson. Click the lesson you’re interested in to get started.
Thank you for visiting and supporting my math site since 2011! I’m sincerely humbled by it.
Introductory Algebra
Add and Subtract Fractions: Different Denominators
Add & Subtract Fractions: Same Denominator
Add and Subtract Numbers using the Number Line
Algebraic Expressions: Worked Examples
Divisibility Rules for 2, 3, 4, 5, 6, 9, and 10
Divisibility Rules for 7, 11, and 12
Finding All Factors of a Number using the Rainbow Method
Function: Notation and Evaluation
List of All Factors of Numbers from 1 to 100
List of All Factors of Numbers from 101 to 200
List of All Factors of Numbers from 201 to 300
List of All Factors of Numbers from 301 to 400
List of All Factors of Numbers from 401 to 500
List of All Factors of Numbers from 501 to 600
List of All Factors of Numbers from 601 to 700
List of All Factors of Numbers from 701 to 800
List of All Factors of Numbers from 801 to 900
List of All Factors of Numbers from 901 to 1,000
List of Multiples of Numbers from 1 to 100 (First Ten Multiples)
List of Prime Numbers up to 10,000
Multiply and Divide Positive/Negative Numbers
One-Step Equations Practice Problems with Answers
Order of Operations: Practice Problems
Plotting Points on a Graph or XY-plane
Prime Factorization of an Integer
Prime Factorization of Numbers 2 to 100
Product of GCF and LCM of Two Positive Integers
Scientific Notation: How to Write
The Properties of Real Numbers
Use Prime Factorization to Find GCF
Use Prime Factorization to Find LCM
Intermediate Algebra
Absolute Value Functions: How to Graph
Arithmetic Sequence: Definition
Arithmetic Sequence: Practice Problems
Completing the Square (Step by Step)
Completing the Square (More Examples)
Distance Formula: How to Derive
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: Simplifying with Variables
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: Examples
Graphing System of Linear Inequalities
Graphing Vertical and Horizontal Lines
Interval Notation Practice Problems with Answers
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
Quadratic Formula: How to Derive
Radical Expressions: Adding and Subtracting
Radical Expressions: Multiplying
Radical Expressions: Rationalizing the Denominator
Radical Expressions: Simplifying
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 Practice Problems with Answers
Advanced Algebra
Arithmetic Series Formula: Derivation
Arithmetic Series Formula Practice Problems
Change-of-Base Formula for Logarithms
Complex Fractions: Simplifying
Complex Numbers: Multiplication
Distance between Point and Line
Exponential Equations: Solving using Logarithms
Exponential Equations: Solving without Logarithms
Inverse of Absolute Value Function
Inverse of Exponential Function
Inverse of Logarithmic Function
Inverse of Square Root Function
Logarithm Properties: Change-of-Base Formula
Log Rules Practice Problems with Answers
Logarithms: Combining or Condensing
Logarithms: Solving Logarithmic Equations
Matrix Operation: Adding and Subtracting Matrices
Matrix Operation: Matrix Multiplication
Matrix Operation: Scalar Multiplication
Partial Fraction Decomposition
Rational Expressions: Addition and Subtraction
Rational Expressions: Multiplication
Rational Inequalities: Solving
System of Non-Linear Equations: Solving
Tough Absolute Value Equations
Verify if Two Functions are Inverse
Algebra Word Problems
Algebraic Sentences Word Problems
Perimeter of a Rectangle Word Problems