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: 16x² + 12x
- A. 4x(4x + 3)
- B. 4x(4x² + 3)
- C. x(16x + 12)
- D. 4(4x² + 3x)
Question 2
What is the highest common factor of the terms in 42x + 18?
Answer
Question 3
Which is 6x + 27 fully factorised?
- A. 3(2x + 27)
- B. 3(2x + 9)
- C. 3x(2x + 9)
- D. 3(3x + 9)
Question 4
Factorise fully: 12x² + 28x
- A. 4x(3x + 7)
- B. x(12x + 28)
- C. 4x(3x² + 7)
- D. 4(3x² + 7x)
Question 5
What is the highest common factor of the terms in 25x − 20?
Answer
Question 6
Which is 30x + 48 fully factorised?
- A. 30(x + 8)
- B. 2(15x + 24)
- C. 6(5x + 8)
- D. 6x(5x + 8)
Question 7
Factorise fully: 6x² + 21x
- A. 3x(2x² + 7)
- B. x(6x + 21)
- C. 3x(2x + 7)
- D. 3(2x² + 7x)
Question 8
What is the highest common factor of the terms in 16x + 6?
Answer
Question 9
Which is 28x + 49 fully factorised?
- A. 7x(4x + 7)
- B. 7(4x + 7)
- C. 7(4x + 49)
- D. 7(5x + 7)
Question 10
Factorise fully: 10x² + 14x
- A. x(10x + 14)
- B. 2(5x² + 7x)
- C. 2x(5x² + 7)
- D. 2x(5x + 7)
Question 11
What is the highest common factor of the terms in 81x + 45?
Answer
Question 12
Which is 35x + 30 fully factorised?
- A. 35(x + 6)
- B. 5(7x + 30)
- C. 5x(7x + 6)
- D. 5(7x + 6)
Question 13
Factorise fully: 8x² + 6x
- A. 2x(4x + 3)
- B. 2(4x² + 3x)
- C. 2x(4x² + 3)
- D. x(8x + 6)
Question 14
What is the highest common factor of the terms in 49x + 14?
Answer
Question 15
Which is 14x + 35 fully factorised?
- A. 14(x + 5)
- B. 7x(2x + 5)
- C. 7(3x + 5)
- D. 7(2x + 5)
Question 16
Factorise fully: 12x² + 42x
- A. 6x(2x² + 7)
- B. 6x(2x + 7)
- C. 6(2x² + 7x)
- D. x(12x + 42)
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