Objective
Retrieve and connect algebraic methods at the chosen tier.
Calculator: Non-calculator core; calculator optional only for checking where labelled.

Recall
Retrieve the key fact or method needed for algebra consolidation.
Core practice
Solve x²−x−20=0 and verify by expansion.
Reasoning
Find k so that x²+kx+12=(x+3)(x+4).
Exam-style
Solve an exam-style problem involving algebra consolidation. Show working, include a check and interpret your answer.