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LearnCambridge97092026–2027Paper 2 · Pure Mathematics 2Algebra

Paper 2 · Module

Algebra

3 subtopics≈ 125 min in total

Start the module: Modulus graphs and equations Open graphing calculator

Modulus graphs and equations
What $|x|$ means, how to sketch $y=|ax+b|$ by reflecting the negative part, and two reliable ways to solve modulus equations: squaring both sides, or splitting into cases and checking.
≈ 40 min
Modulus inequalities
Solving inequalities with moduli: the "between" and "outside" patterns, squaring when both sides are moduli, and using a sketch when a modulus is compared with a line.
≈ 40 min
Polynomials: division, factor and remainder theorems
Long division for polynomials, why the remainder on dividing by $(x-a)$ is just $p(a)$ , and how the factor theorem lets you factorise cubics and find unknown coefficients.
≈ 45 min