Review exercises

REVIEW EXERCISE
Objective Questions
1. –3k(2p – 5q) =
A 15kq + 6kp
B –15q – 6kp
C 15kq – 6kp
D 15q – 6kp

2. mn(7n + 4m) =
A 7m2n + 4mn2
B 7mn2 + 4m2n
C 11m2n2 + 7mn
D 7m2n2 + 4mn

3. (–2t + 9h)(–t – h) =
A –2t2 + 7ht – 9h2
B 2t2 + 7ht + 9h2
C 2t2 – 7ht – 9h2
D –2t2 – 7ht – 9h2

4. (3a – 2b)(2c + 3d) =
A 6ac – 2bc + 9ad – 6bd
B 6ac – 4bc – 9ad – 6bd
C 6ac – 4bc + 9ad + 6bd
D 6ac – 4bc + 9ad – 6bd

5. (2u – 7v)2 =
A 4u2 – 28uv + 49v2
B 4u2 – 14uv – 49v2
C 4u2 – 14uv + 49v2
D 4u2 + 28uv – 49v2

6. (4x – 3y)(y – 2w) =
A 4xy – 6y2 + 8xw – 6yw
B 4xy – 3y2 – 8xw + 6yw
C 4xy + 3y2 – 8xw – 6yw
D 4xy – 6y2 – 8xw – 6yw

7. (3 + 5t)(3t – 2) =
A 15t2 – 19t + 6
B 15t2 + t + 6
C 15t2 – 19t – 6
D 15t2 – t – 6

© Pearson Malaysia Sdn. Bhd. 2008 1 Essential Mathematics PMR

8. (g – 9k)(g + 9k) + 4g(–2g + k) =
A –9g2 + 81k2 + 4gk
B –9g2 – 81k2 + 4gk
C –7g2 – 81k2 + 4gk
D –7g2 + 81k2 + 4gk

9. (2f + 3h)2 – 2(3f – 2h)2 =
A –14f 2 + 36fh + h2
B –5f 2 + 36fh – h2
C –22f 2 – 12fh – h2
D –14f 2 – 12fh + h2

10. (p – 3t)(2p – t) – (–4p + t) (–2p + 7t) =
A 10p2 – 37pt – 10t2
B –6p2 + 23pt – 4t2
C –10p2 + 23pt + 10t2
D –6p2 + 37pt – 4t2

11. The number of factors of the term 4uv is
A 10
B 11
C 12
D 13

12. Which of the following is not the common factor of 5r and 10rt?
A 1
B r
C 5t
D 5r

13. The common factors of 3p2 and 9p are
A 1, 3, p and 3p
B 1, 3, p and 3p2
C 1, 3, p2 and 3p2
D 1, 3, 3p and p2

14. 6mn – 3m2 =
A 2m(3n – 4)
B 2m(3n – 3m)
C 6m(n – 4m)
D 6m(n – 4m2)

15. 100y2 – 9 =
A (10y + 9)(10y – 1)
B (100y – 9)(y + 1)
C (10y – 3)(10y – 9)
D (10y + 3)(10y – 3)


16. 3pr – 12qr – 8qs + 2ps =
A (3p – 2q)(r + 4s)
B (p + 3q)(2r – s)
C (p – 4q)(3r + 2s)
D (3p + 4q)(r – 2s)

17. 812 – 792 =
A 280
B 320
C 360
D 420

18. 9p2 – 12p + 4 =
A (3p – 2)2
B (3p + 4)(3p – 1)
C (9p + 1)(p – 4)
D (3p – 4)2

19. 21x2y + 9xy2 – 3x2y2 =
A 3x2y(7 + 3y – xy)
B 3xy(7 + 3y – xy)
C 3xy(7x + 3y – xy)
D 3xy2(7x + 3 – xy)

20. Which of the following is not a factor of 16 – 81t2?
A 1
B 4 – 9t
C 9 + 4t
D 9t + 4

21. 25f 2 + 16g2 – 40fg =
A (5f + 4g)2
B (5f – 4g)2
C (25f – 8g)(f + 5g)
D (25f + 8g)(f – 5g)

22. 36w2 – 100 =
A 4(3w + 5)(3w – 5)
B 4(9w + 5)(w – 5)
C (6w + 5)(6w – 5)
D 2(3w + 10)(6w – 5)

23. One of the factors of 6xy + 5ab + 9bx + 10ay is
A 5x + 3a
B 3y + 2b
C 2x + 3a
D 2y + 3b


24. 12pr + 2qs – 3ps – 8qr =
A (3r + 2s)(4p – q)
B (4r – s)(3p – 2q)
C (4p – q)(3r – s)
D (4s – r)(2q – 3p)

25. 4m2 – 9(m – 1)2 =
A (3 – 5m)(3 – m)
B (5m + 3)(m – 3)
C (5m – 3)(3 – m)
D (3m – 5)(m – 3)

9abc
26. =
12a 2 bc 2
3ac
A
4
3abc
B
4
3
C
4ac
3
D
4abc

8m 2 np
27. =
10mn 2
4 mp
A
5n 2
8p
B
5n
4p
C
5
4mp
D
5n

3t 2 x 3t 2 y
28. =
6x 2 6 y 2
3t 2
A
2x y
t2
B
2( x y )


t2
C
x y
t
D
x y

14h 4 k 2 28h 3 k 3
29. =
14h 3 k 3 7 h 2 k 4
2h( h 2k )
A
k ( 2h k )
2k ( h 2k )
B
h( k 2h)
2h( 2k h)
C
k ( 2h k )
4h( h 2k )
D
k ( 2h k )

28y 5 r 3 v 7
30. =
40 y 3 r 7 v 5
7 y 2r 4v 2
A
10
2 2
7y v
B
20r 2
7 y 2v 2
C
10r 4
7 y 2v 2
D
10r 2

5 f 5 k 2 10 f 4 k 2
31. =
30 f 3 k 3 45 f 2 k 3
f ( f 2)
A
3k 2 (2 f 3)
f 2 ( f 2)
B
3k (2 f 3)
f ( f 4)
C
3k ( 2 f 5)
f 2( f 4)
D
3k (2 f 5)


36 p 3 q 4 pq
32. =
42 p 3 14 p 2
2q(9 p 1)
A
7p
4q (9 p 1)
B
7 p2
2q (3 p 1)
C
7 p2
2q (3 p 1)
D
7p

15m 4 n 2 75m 3 n 3
33. =
25m 4 n 3 625m 2 n 5
3m
A
5n ( m 5n )
5m
B
3n( m 5n)
3m
C
5 n (5 m n )
3n
D
5m(5m n)

n 9 4n 1
34. + =
m m
3n 10
A
m
5n 8
B
m
5n 10
C
m
3n 8
D
m

7u u
35. +
12v 4v
5u
A
6v
5u
B
12v


2u
C
3v
u
D
2v

5p 2q 3 p 7q
36. – =
p q 2( p q )
2 p 5q
A
p q
7 p 5q
B
2( p q )
7p 3q
C
2( p q) 2
7p 3q
D
2( p q)

5k 3h
37. − =
6h 5k
5k 2 9 h 2
A
3hk
25k 2 3h 2
B
5hk
25k 2 9h 2
C
15hk
25k 9h 2
D
15hk

7 8
38. + =
r s r
15r 8s
A
r s
7 r 8s
B
r s
15r 8s
C
r (r s)
15s 8r
D
r (r s)


k 1 2
39. – =
2k 3 5
k 11
A
5( 2k 3)
3k 8
B
5( 2k 3)
k 1
C
5( 2k 3)
k 7
D
5( 2k 3)

5 3
40. =
6 xy 8x 2 y 2
40 xy 2 9
A
12 x 3 y 4
20 xy 2 9
B
24 x 2 y 3
20 xy 2 9
C
24 x 3 y 2
20 xy 9
D
24 x 2 y 2

1 c 4d 3
41.
2c 3d
3d 5cd 6c
A
3cd
3d cd 5c
B
3cd
3d cd 5c
C
6cd
3d 5cd 6c
D
6cd

2y
42. (6 xy 15x 2 )
9x
2x
A (5x 2 y)
3
2y
B ( 2 y 5 x)
3


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