Mastering GCSE Algebra

By Laura Harrison, 15 October 2023

Why Algebra Matters

Algebra is the foundation of almost every advanced maths topic you will encounter at GCSE and beyond. Whether you are simplifying expressions, solving equations, or working with graphs, a strong grasp of algebraic thinking will carry you through.

Key Concepts to Master

  • Like terms: only combine terms that share the same variable and power.
  • Expanding brackets: multiply every term inside by the term outside.
  • Factorising: the reverse of expanding; look for common factors first.
  • Solving equations: keep the equation balanced by doing the same operation to both sides.

Worked Example

Solve for x: 3x + 7 = 22

  1. Subtract 7 from both sides: 3x = 15
  2. Divide both sides by 3: x = 5

Practice Tips

Work through past paper questions topic by topic. Once you can do a type of question without looking at the method, you have mastered it.

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