Algebra — Pearson GCSE Study Guide
Exam Board: Pearson | Level: GCSE
Master the art of solving linear and quadratic equations, as well as linear inequalities. This topic is heavily weighted in GCSE exams, rewarding logical working, accurate algebraic manipulation, and the ability to choose the right method for quadratics.
Overview
Welcome to Algebra 2: Equations and Inequalities. This topic forms the core of GCSE Mathematics, acting as the gateway to higher-level algebraic problem-solving. It covers the precise methods required to solve linear equations, quadratic equations, and linear inequalities.
Examiners heavily weight this topic because it tests your ability to think logically, manipulate symbols accurately, and structure your working clearly. Whether you are balancing a linear equation, choosing between factorising, completing the square, or using the quadratic formula for a quadratic equation, or carefully flipping an inequality sign, the marks awarded here often make the difference between grades.
This topic links closely to graphing (where solutions to equations represent x-intercepts) and algebraic fractions. Exam questions will range from straightforward 'solve' commands to complex, multi-step word problems that require you to form the equation yourself before solving it.
Podcast Revision
Listen to our 10-minute audio guide covering all key concepts, exam tips, and a quick-fire recall quiz.
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