Algebra

Learn algebraic expressions, equations, and functions

10 topics 82 lessons 100% Free Lessons

Start learning Algebra with our free interactive lessons. Each topic includes step-by-step explanations, practice problems, and real-world examples.

Explore 10 Topics

  1. 1

    Algebraic Expressions

    Variables and evaluating expressions

    6 lessons
  2. 2

    Equations

    Solve one-step to multi-step equations

    8 lessons
  3. 3

    Inequalities

    Solve and graph inequalities

    7 lessons
  4. 4

    Linear Functions

    Slope, intercepts, and linear equations

    7 lessons
  5. 5

    Systems of Equations

    Solve systems using various methods

    6 lessons
  6. 6

    Quadratic Equations

    Introduction to quadratic functions

    7 lessons
  7. 7

    Polynomials

    Operations with polynomials

    9 lessons
  8. 8

    Factoring

    Factor polynomials, trinomials, and special products

    12 lessons
  9. 9

    Rational Expressions

    Simplify, multiply, divide, add, and subtract rational expressions

    10 lessons
  10. 10

    Radicals

    Simplify and operate with square roots and other radicals

    10 lessons

Algebra is the language of mathematics that lets us describe patterns, relationships, and solve problems using variables and equations. It is the gateway to higher mathematics and is essential for fields ranging from engineering and computer science to economics and medicine. Learning algebra transforms you from someone who can only solve specific problems to someone who can solve entire categories of problems.

In this category, you will journey from basic expressions and equations to advanced topics like quadratic functions and systems of equations. We start with the fundamentals—understanding variables, writing expressions, and solving simple equations. As you progress, you will tackle inequalities, graph linear functions, and eventually master polynomials and factoring.

Our interactive approach includes equation solvers that show every step, graphing tools that visualize functions, and practice problems that adapt to your level. Whether you are in middle school algebra or preparing for college, these lessons build lasting understanding.

What You'll Learn

  • Write and evaluate algebraic expressions
  • Solve linear equations and inequalities
  • Graph linear functions and understand slope-intercept form
  • Work with systems of equations using multiple methods
  • Factor polynomials and solve quadratic equations
  • Simplify rational expressions and solve rational equations
  • Apply algebraic thinking to real-world problems

Frequently Asked Questions

Why do I need to learn algebra?

Algebra teaches logical thinking and problem-solving skills used in virtually every career. It is required for advanced math, science, and is particularly important for STEM fields, business, and data analysis.

What is the best way to learn algebra?

Practice regularly with a variety of problems, focus on understanding concepts rather than memorizing steps, and use visual tools to see how equations and graphs relate.

How is algebra used in real life?

Algebra is used in budgeting, cooking (scaling recipes), construction, programming, analyzing data, and any situation where you need to find an unknown value.