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Edexcel•A-Level•Mathematics
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Algebra and Functions

Laws of indices, surds, quadratics, simultaneous equations, inequalities, polynomials, partial fractions, and functions

Practice 38 subtopics in Algebra and Functions. All questions match the Edexcel A-Level specification.

About Algebra and Functions

Algebra and Functions is a key topic in the Edexcel A-Level Mathematicsspecification. This topic covers laws of indices, surds, quadratics, simultaneous equations, inequalities, polynomials, partial fractions, and functions.

Master all 38 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 (38)

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Laws of indices (integer, fractional, negative)Expanding brackets and simplifyingFactorising quadratics and cubicsManipulating surdsRationalising denominators (single and compound)Quadratic functions and graphsCompleting the squareSolving quadratic equations (factorise, formula, complete square)Discriminant and nature of rootsQuadratic inequalitiesSolving linear simultaneous equationsSolving simultaneous equations (one linear, one quadratic)Linear inequalitiesRepresenting inequalities graphicallySet notation for solutionsGraphs of cubic functionsGraphs of quartic functionsGraphs of reciprocal functions y = k/x and y = k/x²Points of intersection of graphsTranslations: y = f(x + a), y = f(x) + aStretches: y = f(ax), y = af(x)Reflections: y = f(-x), y = -f(x)Combined transformationsAlgebraic fractions (simplifying, adding, subtracting)Polynomial divisionFactor theorem: f(a) = 0 implies (x - a) is a factorRemainder theoremFunction notation and definitionsDomain and rangeComposite functions: fg(x) = f(g(x))Inverse functions and their graphsModulus function |x| and |f(x)|Graphs of y = |f(x)| and y = f(|x|)Solving modulus equationsSolving modulus inequalitiesPartial fractions with linear factorsPartial fractions with repeated linear factorsPartial fractions with improper fractions

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Start with Laws of indices (integer, fractional, negative)

Other Edexcel A-Level Mathematics Topics

🔍Proof📍Coordinate Geometry🔢Sequences and Series📐Trigonometry📈Exponentials and Logarithms

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