Algebra – Extended Subtopics

Algebra – Extended Subtopics

Select a subtopic, then choose Paper 2 (Non-calculator) or Paper 4 (Calculator) to view questions and worksheets.

Algebraic Operations

Simplifying expressions, collecting like terms, and basic algebra skills.

Algebraic Roots & Indices

Working with powers, roots, and index notation in algebraic expressions.

Subject of Formula

Rearranging formulas to make a different variable the subject.

Expansion of Brackets

Expanding single and double brackets, including quadratics.

Factorisation

Taking out common factors and factorising quadratics.

Linear Equations

Solving equations with one unknown using inverse operations.

Simultaneous Equations

Solving pairs of equations using elimination and substitution.

Quadratic Equations

Solving quadratics by factorisation, formula, and completing the square.

Algebraic Fractions

Simplifying, adding, subtracting, and solving with algebraic fractions.

Functions

Function notation, composite functions, and inverse functions.

Sequences

Arithmetic, geometric, and other patterned sequences.

Linear Inequalities

Solving and representing inequalities on number lines and graphs.

Proportion (Direct & Indirect)

Solving direct and inverse proportion word problems.