Distributive Law

For Questions 1 to 5, expand the expression using the Distributive Law.

1. 2 (a + b)
A 2a + b
B 2a + 2b
C 2a + 2

2. 5 (a – b)
A 5a – b
B a – 5b
C 5a – 5b

3. 3 (4a + 5b)
A 7a + 8b
B 12a + 15b
C 78ab

4. – 6 (3f – 2k)
A – 18f + 12k
B 18f – 8k
C 9f – 8k

5. a (a – 3)
A 2a – 3
B 2a – 3a
C a² – 3a

For Questions 6 to 10, factorise the expression using the Distributive Law.

6. 3a + 3b
A 3 (a + b)
B 6ab
C 3a (3 + b)

7. 4a – 8b
A 2 (a – 4b)
B 4 (a – 2)
C 2 (2a – 2b)

8. 6a + 9b
A 3 (2a + 3b)
B 14ab
C 6 (a + 3b)

9. – 14k – 12f
A 2 (7k – 6f)
B – 2 kf
C – 2 (7k + 6f)

10. a² – ab
A 2 (a – b)
B a (a – b)
C a (2 – ab)

Your Answers
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Q 2:
Q 3:
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Q 5:
Q 6:
Q 7:
Q 8:
Q 9:
Q10:

Correct Answers
Q 1:
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Q 3:
Q 4:
Q 5:
Q 6:
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Q 8:
Q 9:
Q10: