Factorise linear expressions
7th grade (Year 8 in England) · 16 questions · Common Core: 6.EE.A.3, 7.EE.A.1 · England: KS3 Algebra, GCSE Foundation Algebra
Name
Date
Score/ 16
Question 1
Factorise fully: 15x² + 9x
- A. 3x(5x² + 3)
- B. x(15x + 9)
- C. 3(5x² + 3x)
- D. 3x(5x + 3)
Question 2
Which is 24x + 28 fully factorised?
- A. 4(6x + 28)
- B. 4x(6x + 7)
- C. 2(12x + 14)
- D. 4(6x + 7)
Question 3
What is the highest common factor of the terms in 9x + 63?
Answer
Question 4
Factorise fully: 15x² + 18x
- A. 3x(5x² + 6)
- B. x(15x + 18)
- C. 3(5x² + 6x)
- D. 3x(5x + 6)
Question 5
Which is 12x + 15 fully factorised?
- A. 12(x + 5)
- B. 3(4x + 5)
- C. 3(5x + 5)
- D. 3x(4x + 5)
Question 6
What is the highest common factor of the terms in 18x + 3?
Answer
Question 7
Factorise fully: 25x² + 20x
- A. 5(5x² + 4x)
- B. 5x(5x² + 4)
- C. 5x(5x + 4)
- D. x(25x + 20)
Question 8
Which is 2x + 10 fully factorised?
- A. 2(x + 10)
- B. 2(x + 5)
- C. 2x(x + 5)
Question 9
What is the highest common factor of the terms in 54x − 63?
Answer
Question 10
Factorise fully: 10x² + 2x
- A. 2(5x² + x)
- B. 2x(5x + 1)
- C. x(10x + 2)
- D. 2x(5x² + 1)
Question 11
Which is 2x + 4 fully factorised?
- A. 2(x + 2)
- B. 2(x + 4)
- C. 2x(x + 2)
Question 12
What is the highest common factor of the terms in 24x + 20?
Answer
Question 13
Factorise fully: 6x² + 3x
- A. x(6x + 3)
- B. 3x(2x² + 1)
- C. 3x(2x + 1)
- D. 3(2x² + x)
Question 14
Which is 56x + 32 fully factorised?
- A. 56(x + 4)
- B. 8(7x + 4)
- C. 8x(7x + 4)
- D. 8(7x + 32)
Question 15
What is the highest common factor of the terms in 6x − 30?
Answer
Question 16
Factorise fully: 12x² + 4x
- A. 4(3x² + x)
- B. 4x(3x² + 1)
- C. 4x(3x + 1)
- D. x(12x + 4)
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