GCSE Maths / Edexcel

Algebra revision

Expressions, equations, sequences, quadratics, and rearranging formulas with method marks in mind.

Algebra sits underneath a large share of GCSE Maths and shows up in both short and multi-step questions.

Paper focus: Core across every paper. Tiers: Foundation and Higher.

Revision hint

Separate skills into expanding, factorising, solving, and rearranging so students can see exactly what breaks down.

Typical exam signals

factorisesolventh termchange the subject

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Start with Expanding and simplifying brackets, then use the app tools to practise, upload an answer, or ask for an explanation.

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Learn the method, then practise it.

Each revision note is built as a short lesson with theory, worked examples, quick exercises, and exam-style questions with marking guidance.

Foundation and Higher / Grades 3 to 6

Expanding and simplifying brackets

Expand single brackets, handle negative signs, collect like terms, and show enough working for GCSE method marks.

Pearson Edexcel GCSE Maths algebra A4: collect like terms and multiply a single term over a bracket.

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Foundation and Higher / Grades 3 to 6

Solving linear equations

Solve one-step, two-step, bracketed, and both-sides linear equations while keeping working balanced.

Pearson Edexcel GCSE Maths algebra A17: solve linear equations in one unknown, including equations with the unknown on both sides.

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Foundation and Higher / Grades 3 to 5

Factorising into a single bracket

Find the highest common factor of terms and rewrite expressions using one bracket.

Pearson Edexcel GCSE Maths algebra A4: simplify and manipulate algebraic expressions by factorising.

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Foundation and Higher / Grades 4 to 7

Factorising quadratics

Factorise quadratics of the form x² + bx + c, including negative terms, and use factorised form to solve equations.

Pearson Edexcel GCSE Maths algebra A4 and A18: factorise quadratic expressions and solve quadratic equations by factorising.

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Foundation and Higher / Grades 3 to 6

Substitution into expressions and formulae

Replace letters with values, follow the correct order of operations, and handle negative numbers accurately.

Pearson Edexcel GCSE Maths algebra A2 and A5: substitute numerical values into expressions and formulae, and understand standard formulae.

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Foundation and Higher / Grades 4 to 6

Linear sequences and the nth term

Find the common difference, write the nth term of a linear sequence, and use it to generate or test terms.

Pearson Edexcel GCSE Maths algebra A23 to A25: generate terms, recognise arithmetic progressions, and deduce expressions for the nth term.

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Foundation and Higher / Grades 4 to 7

Rearranging formulae

Change the subject of a formula by using inverse operations and keeping both sides balanced.

Pearson Edexcel GCSE Maths algebra A5: understand, use, and rearrange formulae to change the subject.

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Foundation and Higher / Grades 4 to 6

Solving linear inequalities

Solve linear inequalities, keep the inequality sign correct, and identify integer solutions where needed.

Pearson Edexcel GCSE Maths algebra A22: solve linear inequalities in one variable and represent solutions.

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Foundation and Higher / Grades 5 to 7

Simultaneous equations

Solve two linear equations by eliminating one unknown, then substitute back to find the other unknown.

Pearson Edexcel GCSE Maths algebra A19: solve two simultaneous equations in two variables.

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Foundation and Higher / Grades 4 to 7

Straight-line graphs

Use y = mx + c to identify gradients, y-intercepts, and equations of straight lines.

Pearson Edexcel GCSE Maths algebra A9 and A10: plot and interpret graphs, gradients, intercepts, and equations of straight lines.

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Higher / Grades 6 to 8

Algebraic fractions

Simplify algebraic fractions by cancelling common factors, factorising first, and using common denominators.

Pearson Edexcel GCSE Maths algebra A4 and A17: manipulate algebraic expressions and work with algebraic fractions.

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Spec points

Manipulate algebraic expressions and substitute accurately.

Solve linear, quadratic, and simultaneous equations.

Generate sequences and reason from the nth term.

Common question types

Factorise a quadratic expression.

Solve a pair of simultaneous equations.

Find and use the nth term of a sequence.