AQA•A-Level•Mathematics
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Algebra and Functions
Laws of indices, surds, quadratics, simultaneous equations, inequalities, polynomials, graphs, and functions
Practice 37 subtopics in Algebra and Functions. All questions match the AQA A-Level specification.
About Algebra and Functions
Algebra and Functions is a key topic in the AQA A-Level Mathematicsspecification. This topic covers laws of indices, surds, quadratics, simultaneous equations, inequalities, polynomials, graphs, and functions.
Master all 37 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 (37)
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Mathematical modellingProblem solving strategiesLaws of indices (including rational exponents)Use and manipulation of surdsRationalising denominatorsQuadratic functions and graphsCompleting the squareDiscriminant and nature of rootsSolving quadratic equationsSolving simultaneous equations (linear and quadratic)Solving linear and quadratic inequalitiesExpressing solutions using set notationRepresenting inequalities graphicallyManipulating polynomials algebraicallyFactor theoremPolynomial divisionRemainder theoremGraphs of linear functionsGraphs of quadratic functionsGraphs of cubic functionsGraphs of quartic functionsGraphs of reciprocal functions y = 1/x and y = 1/x^2Graphs of y = a^x and y = log_a(x)Graphs of trigonometric functionsModulus function and its graphPoints of intersection of graphsTranslations of graphs: y = f(x) + a, y = f(x + a)Stretches of graphs: y = af(x), y = f(ax)Reflections of graphsCombined transformationsFunction notation and domain/rangeComposite functionsInverse functions and their graphsModulus equations and inequalitiesPartial fractions (linear factors)Partial fractions (repeated linear factors)Partial fractions (irreducible quadratic factors)
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