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 three 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.
Warm regards, Introductory Algebra Add and Subtract Fractions: Different Denominators Add & Subtract Fractions: Same Denominator Add and Subtract Numbers using the Number Line Algebraic Expressions Algebraic Expressions: Worked Examples Basic Number Properties Classifying Real Numbers Combining Like Terms Distributive Property Dividing Fractions Divisibility Rules for 2, 3, 4, 5, 6, 9, and 10 Equivalent Fractions Finding All Factors of a Number using the Rainbow Method Function: Notation and Evaluation Greatest Common Factor (GCF) Integer Addition Integer Division Integer Multiplication Integer Subtraction Least Common Multiple (LCM) Linear Equations: Solving One-Step Equations 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 Even Numbers 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 Multiplying Fractions Order of Operations Order of Operations: Practice Problems PEMDAS Rule 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 Proportions: Basic or Simple Ratios Reciprocal of Fraction Scientific Notation: How to Write Simplifying Fractions The Properties of Real Numbers The Real Number System Use Prime Factorization to Find GCF Use Prime Factorization to Find LCM Intermediate Algebra 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: How to Derive 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 Advanced Algebra Complex Fractions: Simplifying Complex Numbers: Division Complex Numbers: Multiplication Composition of Functions Cramer’s Rule in 2×2 Cramer’s Rule in 3×3 Determinants: 2×2 Matrix Determinants: 3×3 Matrix Exponential Equations: Solving using Logarithms Exponential Equations: Solving without Logarithms Inverse of a 2×2 Matrix Inverse of Absolute Value Function Inverse of Constant Function Inverse of Exponential Function Inverse of Linear Function Inverse of Logarithmic Function Inverse of Quadratic Function Inverse of Rational Function Inverse of Square Root Function Logarithms: Explained Logarithms: Rules Logarithms: Combining or Condensing Logarithms: Expanding Logarithms: Solving Logarithmic Equations Matrix Operation: Adding and Subtracting Matrices Matrix Operation: Matrix Multiplication Matrix Operation: Scalar Multiplication Partial Fraction Decomposition Rational Equations: Solving Rational Expressions: Addition and Subtraction Rational Expressions: Multiplication Rational Inequalities: Solving System of Non-Linear Equations: Solving Verify if Two Functions are Inverse Algebra Word Problems Sum of Consecutive Integers Sum of Consecutive Even Integers Sum of Consecutive Odd Integers