What topics are included in GCSE Maths Algebra?
GCSE Maths Algebra includes simplifying expressions, substitution, expanding brackets, factorising, solving equations, inequalities, sequences, graphs, functions and algebraic proof.
GCSE Maths Category
Learn GCSE Maths algebra topics including expressions, equations, formulae, sequences, graphs, functions, inequalities and algebraic proof.
What is Algebra?
Algebra is the part of GCSE Maths where letters and symbols are used to represent unknown values and relationships.
It helps students solve problems, describe patterns, work with graphs and build logical mathematical reasoning.
Algebra Topics
Simplifying Expressions
Collect like terms and write algebraic expressions in their simplest form.
Substitution
Replace variables with numbers and evaluate algebraic expressions correctly.
Expanding Brackets
Multiply terms into brackets and expand expressions accurately.
Factorising Expressions
Rewrite algebraic expressions by taking out common factors and reversing expansion.
Forming Equations
Translate words and real situations into algebraic equations.
Solving Linear Equations
Solve one-step and multi-step linear equations using inverse operations.
Solving Inequalities
Solve inequalities and represent the solutions clearly on number lines.
Rearranging Formulae
Make different variables the subject of a formula by reversing operations carefully.
Sequences
Recognise, continue and describe number sequences, including nth term rules.
Graphs of Linear Functions
Plot and interpret straight-line graphs using coordinates, gradients and intercepts.
Graphs of Quadratic Functions
Plot and interpret quadratic graphs and understand their curved shape.
Quadratic Equations
Solve quadratic equations by factorising and linking them to graphs.
Simultaneous Equations
Solve pairs of equations using elimination, substitution or graph methods.
Algebraic Proof
Use algebra to prove that statements are always true.
Inequalities on Graphs
Represent inequalities on coordinate grids and identify shaded solution regions.
Functions
Understand function notation and map inputs to outputs correctly.
Graph Transformations
Transform graphs by shifting, stretching and reflecting their shapes.
Recommended Learning Order
Exam Focus
- Write algebra clearly and keep equals signs lined up.
- Collect like terms carefully before solving.
- Use inverse operations in the correct order.
- Check whether the question asks for an expression, equation, formula or solution.
- Show enough working to gain method marks.
Common Mistakes
- Combining unlike terms.
- Forgetting to multiply every term when expanding brackets.
- Changing signs incorrectly when solving equations.
- Mixing up expressions and equations.
- Drawing graphs without using enough accurate points.
Algebra FAQs
What should I learn first in Algebra?
Start with simplifying expressions and substitution before moving on to expanding brackets, factorising and solving equations.
Why is Algebra important in GCSE Maths?
Algebra is used across many GCSE Maths topics, including graphs, sequences, formulae, proof, ratio, geometry and problem solving.