Learn by Topic
Pick a topic to see a full explanation, worked examples, and unlimited practice.
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Algebraic Technique A – Order of Operations
Master order of operations with BODMAS: brackets, powers, multiplication, division, addition and subtraction, with six fully worked examples.
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Algebraic Technique B – What Is an Equation?
Understand equations: definition, structure, solution, balance principle and types of linear and quadratic equations with complete worked examples.
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Algebraic Technique C – Dividing by the Coefficient
Solve equations by dividing by the coefficient: positive, negative and fractional coefficients with ten fully worked examples and verification.
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Algebraic Technique D – Expanding Brackets
Master the distributive law: expanding brackets, minus before brackets, multiplying two bracketed expressions and special algebraic identities.
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Algebraic Technique E – Like Terms and Transposing
Collect like terms and transpose sides to solve equations: step-by-step method combining bracket expansion, collection and division by coefficient.
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Algebraic Technique F – Substitution
Evaluate algebraic expressions by substitution: single variable, negative numbers in brackets, two-variable expressions and real-world formulas.
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Algebraic Technique G – Factorisation
Master factorisation by extracting the greatest common factor: numeric GCF, variable GCF and combined examples with step-by-step verification.
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Algebraic Technique H – Systems of Equations
Solve systems of two equations using substitution and elimination methods: four fully worked examples, comparison table and answer verification.
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Algebraic Technique I – Quadratic Equations
Solve quadratic equations using the quadratic formula, factorisation, square roots and common factor; includes discriminant analysis and Vieta formulas.
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Factoring Expressions – All Methods | Grade 11 Algebra
Master five factoring methods: common factor, special identities, trinomials, leading-coefficient trinomials, and grouping. Worked examples and exam tips.
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Algebraic Fractions – Simplify, Multiply, Add | Grade 11
Work with algebraic fractions: find the domain, simplify, multiply, divide, add, and subtract. Covers complex fractions with 11 worked examples.
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Algebraic Technique F – Substitution
Evaluate algebraic expressions by substitution: single variable, negative numbers in brackets, two-variable expressions and real-world formulas.