# Factorising Linear Expressions

14 Questions

Practice and develop skills for factorising linear expressions

• 1.
The terms in the expression pq + pr have a common factor:
• A.

R

• B.

P

• 2.
What is the highest common factor of 12 and 40?
• 3.
What is the highest common factor of 32 and 72?
• A.

4

• B.

12

• C.

16

• D.

2

• E.

8

• 4.
What is the highest common factor of a5 and a32?
• A.

A^5

• B.

A^4

• C.

A^3

• D.

A

• E.

A^2

• 5.
The highest common factor of 54 and 81 is:
• A.

6

• B.

9

• 6.
Pq - wq factorises to
• A.

P(q - wq)

• B.

Q(p - wq)

• C.

W(pq - q)

• D.

Q(p - w)

• E.

Pq - wq

• 7.
12a + 24 completely factorises to
• A.

12(a + 2)

• B.

12(a + 24)

• C.

6(2a + 4)

• D.

A(12 + 24)

• E.

12a(1 + 2)

• 8.
Factorise the expression3a - 9
• 9.
Factorise the expression15a - 50
• 10.
Factorise the expression12 + 30a
• 11.
Factorise the expression32 - 24a
• 12.
Factorise the expression14aq + 7q - 21wq
• 13.
Factorise and simplify the expression20a + 5 + 28a - 7
• 14.
• A.

6a(6qd + 3ad - 12aq + 1d)

• B.

6aq(6d + 3d - 2q + 6d)

• C.

6ad(6q + 3d - 2q + 1)

• D.