GCSE · Algebraic manipulation

Simplifying expressionsExam-style questions

Why only like terms collect, why a + a and a × a are different animals, and how the index laws drive multiplying, dividing and raising algebraic terms to powers.

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12 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
Simplify

(a) $5a + 3b - 2a + 4b$

(b) $4c \times 3c^2$
Level 3 · 2 marksTry it
2
Simplify

(a) $m^5 \times m^3$

(b) $12n^7 \div 3n^2$

(c) $(2p^3)^4$
Level 3 · 3 marksTry it
3
Simplify

(a) $8k^6 \div 2k^3$

(b) $w^4 \times w \times w^3$
Level 3 · 2 marksTry it