Factorising Linear Expressions

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

R

P

2. The highest common factor of 54 and 81 is:

6

9

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4. What is the highest common factor of 32 and 72?

4

12

16

2

8

5. 12a + 24 completely factorises to

12(a + 2)

12(a + 24)

6(2a + 4)

A(12 + 24)

12a(1 + 2)

6. Pq - wq factorises to

P(q - wq)

Q(p - wq)

W(pq - q)

Q(p - w)

Pq - wq

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9. What is the highest common factor of a⁵ and a³²?

A^5

A^4

A^3

A

A^2

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12. 36aqd + 18ad² - 12adq + 6adfactorises to become

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

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

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

6(6aqd + 3ad - 2adq + ad)

6adq(6 + 3 - 2 + 1)

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Factorising Linear Expressions

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

2.

What first name or nickname would you like us to use?

2. The highest common factor of 54 and 81 is:

3. What is the highest common factor of 12 and 40?

4. What is the highest common factor of 32 and 72?

5. 12a + 24 completely factorises to

6. Pq - wq factorises to

7. Factorise the expression3a - 9

8. Factorise the expression32 - 24a

9. What is the highest common factor of a⁵ and a³²?

10. Factorise the expression15a - 50

11. Factorise the expression12 + 30a

12. 36aqd + 18ad² - 12adq + 6adfactorises to become

13. Factorise the expression14aq + 7q - 21wq

14. Factorise and simplify the expression20a + 5 + 28a - 7

Factorising Linear Expressions

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

2.

What first name or nickname would you like us to use?

2. The highest common factor of 54 and 81 is:

3. What is the highest common factor of 12 and 40?

4. What is the highest common factor of 32 and 72?

5. 12a + 24 completely factorises to

6. Pq - wq factorises to

7. Factorise the expression3a - 9

8. Factorise the expression32 - 24a

9. What is the highest common factor of a5 and a32?

10. Factorise the expression15a - 50

11. Factorise the expression12 + 30a

12. 36aqd + 18ad2 - 12adq + 6adfactorises to become

13. Factorise the expression14aq + 7q - 21wq

14. Factorise and simplify the expression20a + 5 + 28a - 7

9. What is the highest common factor of a⁵ and a³²?

12. 36aqd + 18ad² - 12adq + 6adfactorises to become