Algebra

Algebra is the branch of mathematics that uses letters and symbols to represent numbers and quantities in equations and expressions. In the WJEC GCSE Mathematics curriculum, algebra is a core component that builds on arithmetic and extends into problem-solving, pattern recognition, and logical reasoning. You'll encounter topics such as simplifying expressions, solving linear and quadratic equations, working with inequalities, and understanding functions and graphs. Mastery of algebra is essential not only for your GCSE exams but also for further study in mathematics, science, and engineering, as it provides the language to model real-world situations.

Algebra is not just about manipulating symbols; it's about developing a systematic approach to solving problems. You'll learn to translate word problems into algebraic equations, manipulate expressions using the laws of indices, factorise quadratics, and rearrange formulas. These skills are tested across all three GCSE papers (non-calculator and calculator) and appear in both foundation and higher tiers. A strong grasp of algebra will also support your work in other topics like geometry (e.g., using formulas for area and volume) and statistics (e.g., calculating mean from a frequency table).

In the WJEC specification, algebra is divided into several key areas: expressions and formulae, equations and inequalities, sequences, and graphs. You'll need to be confident with basic operations (addition, subtraction, multiplication, division of algebraic terms), expanding brackets, factorising, solving equations (including those with unknowns on both sides), and plotting linear and quadratic graphs. Higher tier students will also tackle simultaneous equations, algebraic fractions, and more complex quadratics. Regular practice and a methodical approach are the keys to success.