AQA•GCSE•Mathematics
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Algebra
Expressions, equations, formulae, graphs, and algebraic reasoning
Practice 75 subtopics in Algebra. All questions match the AQA GCSE specification.
About Algebra
Algebra is a key topic in the AQA GCSE Mathematicsspecification. This topic covers expressions, equations, formulae, graphs, and algebraic reasoning.
Master all 75 subtopics below with unlimited AI-generated questions. Each subtopic page includes sample questions and the ability to generate unlimited practice questions with detailed solutions.
All Subtopics (75)
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Algebraic notationUsing letters to represent unknownsCollecting like termsSubstitution into expressionsSubstitution into formulaeExpressions, equations and formulaeTerms, factors and coefficientsIdentitiesSimplifying expressionsExpanding single bracketsExpanding double bracketsExpanding triple brackets (H)Factorising single bracketsFactorising quadraticsFactorising difference of two squaresCompleting the square (H)Algebraic fractions (H)Simplifying algebraic fractions (H)Adding and subtracting algebraic fractions (H)Using formulaeDeriving formulaeEquations vs identitiesAlgebraic argument and proof (H)Coordinates in four quadrantsMidpoint of a line segmentPlotting linear graphsGradient of a liney-interceptEquation of a straight line (y = mx + c)Finding equations of linesParallel linesPerpendicular lines (H)Quadratic graphsCubic graphsReciprocal graphsExponential graphs (H)Trigonometric graphs (H)Recognising graph shapesSketching graphsGraph transformations (H)Distance-time graphsVelocity-time graphsReal-life graphs interpretationGradients as rates of changeTerm-to-term rulesPosition-to-term rulesNth term of linear sequencesNth term of quadratic sequences (H)Fibonacci-type sequencesGeometric sequences (H)Recognising sequencesSolving one-step equationsSolving two-step equationsSolving equations with bracketsSolving equations with unknowns on both sidesForming equationsSolving quadratics by factorisingSolving quadratics using the formula (H)Solving quadratics by completing the square (H)Solving quadratics graphicallySolving simultaneous equations graphicallySolving simultaneous equations algebraicallySolving linear and quadratic simultaneously (H)Solving linear inequalitiesRepresenting inequalities on a number lineSolving quadratic inequalities (H)Representing inequalities graphically (H)Identifying regionsChanging the subject of a formulaRearranging formulae with subject appearing onceRearranging formulae with subject appearing twice (H)Function notation (H)Composite functions (H)Inverse functions (H)Iteration (H)
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