10 questions🇬🇧English

🧱 Expanding Brackets – Year 8

Maths · Year 8 (KS3) — multiplying out single and double brackets and simplifying the result

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Questions

Expand 3(x + 4):

3x + 7
3x + 12
3x + 4
x + 12
20s

Expand 5(2y − 3):

10y − 15
10y − 3
10y + 15
7y − 15
20s

Expand a(a + 6):

2a + 6
7a
a² + 6
a² + 6a
20s

Expand −2(x − 5):

2x − 10
−2x + 10
−2x − 5
−2x − 10
20s

Expand and simplify 3(x + 2) + 2(x − 1):

5x + 4
5x + 1
5x − 4
5x + 8
30s

Expand and simplify 4(2x + 1) − 3(x − 2):

5x + 6
5x + 10
5x − 2
11x + 10
30s

Expand (x + 3)(x + 5):

x² + 15
x² + 15x + 8
x² + 8x + 8
x² + 8x + 15
30s

Expand (x + 6)²:

x² + 12x + 12
x² + 12x + 36
x² + 6x + 36
x² + 36
30s

Expand and simplify (2x − 3)(x + 4):

2x² + 5x − 12
2x² − 5x − 12
2x² + 11x − 12
2x² + 5x + 12
60s

Which of these expansions is correct?

(x + 3)² = x² + 9
(x + 1)² = x² + x + 1
(x − 5)² = x² − 10x − 25
(x − 2)² = x² − 4x + 4
30s