Algebra — Pearson GCSE Study Guide
Exam Board: Pearson | Level: GCSE
Mastering algebraic notation, substitution, simplification, and factorisation is the foundation of GCSE Mathematics. These core skills appear in almost every exam paper, making this topic one of the most reliable areas to pick up guaranteed marks.

Overview
Algebra is the universal language of mathematics. This topic, Algebra (2), forms the crucial bridge between basic arithmetic and advanced problem-solving. It covers the essential grammar of algebra—notation, substitution, simplification, expanding brackets, and factorising quadratics.
Why is this so important? Because examiners use these skills to test your fundamental mathematical fluency. Whether you are solving equations, working with graphs, or tackling complex geometry problems, you will need these algebraic tools. Exam questions typically range from straightforward 1-mark simplification tasks to 4-mark questions requiring you to expand double brackets or fully factorise a quadratic expression.
This guide will walk you through the core concepts, providing the step-by-step methods and examiner insights you need to secure every available mark. You can also listen to our dedicated revision podcast below for a complete audio walkthrough.
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