GCSE · Algebraic manipulation

Expanding bracketsExam-style questions

Why a multiplier reaches every term inside a bracket, why double brackets need every-with-every (and where the middle term of a square comes from), and how three brackets fall to the same rule two at a time.

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17 questions · GCSE (Higher) level · mark scheme and worked solution on each · no sign-up to try

DifficultyAll Level 1 Level 2 Level 3 Level 4 Level 5

1
(a) Expand $5(2x - 3)$

(b) Expand and simplify $3(2x + 1) - 2(x - 4)$
Level 3 · 3 marksTry it
2
Expand and simplify $(x + 7)(x - 3)$
Level 3 · 2 marksTry it
3
Expand and simplify $6(2x - 1) - 3(x - 4)$
Level 3 · 2 marksTry it