Algebra

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Algebra

Algebra is the branch of mathematics that uses symbols, variables and expressions to describe relationships and solve problems. It underpins many areas of maths and appears in science, finance, computing and everyday decision‑making.

This page introduces the main areas of algebra and links to free, accessible resources across games, videos and worksheets.

Start Learning Algebra

Introduction to Algebra

A beginner‑friendly overview of what algebra is, why it matters, how variables work, and where algebra appears in real life.

Fundamentals of Algebra

Covers variables, constants, coefficients, expressions, simplifying, and the basics of equations and inequalities.

Linear Equations

Introduces linear equations, how they are structured and how to solve them step by step.

Intermediate Algebra

Systems of Linear Equations

Explains how to solve systems using graphing, substitution and elimination.

Quadratic Equations

Covers standard form, factoring, the quadratic formula and completing the square.

Polynomials

Includes types of polynomials and operations such as addition, subtraction and multiplication.

Advanced Algebra

Exponents and Radicals

Explains exponent rules, roots and how to simplify expressions involving both.

Complex Numbers

Introduces real vs imaginary parts, notation and basic operations.

Matrices and Determinants

Covers basic matrix operations and how matrices can be used to solve systems of equations.

Algebra Resources

Algebra Games

Interactive maths games covering key algebra skills.

Algebra Videos

A curated selection of free video lessons teaching algebra from beginner to intermediate level.

Algebra Worksheets

Downloadable worksheets, generators and editable resources for practice.

Optional Next Steps

Further areas to explore once the fundamentals are comfortable:

  • Practical Applications of Algebra – Real‑world examples and case studies.
  • Algebra in Different Careers – How algebra is used across fields.
  • Problem‑Solving Strategies – Approaches to multi‑step algebra questions.