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KURSUS KLINIK MATEMATIK SEKOLAH MENENGAH Anjuran: Pusat Bimbingan Nuri 1 MODUL 1 1. Solve the following a. 2mv 3yz b. 3ab 2 5cd 2 c. 4 ab 5a 2 b d. 6m 2 n 3 6mn 2. Solve the following a. 6ab 2 c 3 2bc 2 b. 10m 2 n 3 5mn 3 p c. 12 pqr 2 4 pqr 3. Simplify the following a. (5a 2 b 2 )(4b 2 c 2 ) 10ab 2 b. 2mnp 5mnq 10mnpq c. (15a 2 b 2 )(5b 2 c 2 ) 10ab 2 d. 3 mnp 5mnq 15mnpq 4. Simplify the following a. 2mp 7rq 2 b. 3a 2 b 6ad c. 3x 2 yz 3 8 x 3 y 2 z d. 5 p 2 q (6 pq 3 r 2 ) e. 4 rs 2 3wv f. 2m 2 n 5nq 2 g. 3ac 2 7cd h. kl 2 (9klm 2 ) 5. Simplify the following a. 10ab 2 c 3 2bc 2 b. 6m 2 np 2mp 2 q c. 12 xy 3 z 2 4 x 2 y 2 z 3 d. 48 p 2 q 2 r 2 (6 p 2 q 2 r 2 ) e. 14 x 2 yz 3 2 xyz 2 f. 33 p 2 qr 3 3r 2 qp g. 15ab 3 c 5a 2 bc 2 h. 6 pq 2 m 9 p 2 qm 2 6. Solve the following: a. (3a 2 b)(6ad 3 ) 9abd b. (3x 2 y 2 )(4 xy 2 ) 9 x 2 y 3 c. (5 pq 3 r)(8 pqr 2 ) 10 p 2 q 2 r d. (6kl 2 )(4 lm 3 ) 26l 2 k 2 m e. (2mp 2 )(4 nq 2 ) 8mpnq f. (7r 2 q)(2 p 2 q) 14qp 2 g. (2e 2 fg 3 )(3hf ) 18 fg 2 e h. (3w 2 v 3 y )(6wv ) (24vyz)

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Page 1: Modul 01 Until 04

KURSUS KLINIK MATEMATIK SEKOLAH MENENGAH

Anjuran: Pusat Bimbingan Nuri

1

MODUL 1

1. Solve the following

a.

2mv 3yz

b.

3ab2 5cd2

c.

4ab5a2b

d.

6m2n3 6mn

2. Solve the following

a.

6ab2c3 2bc2

b.

10m2n3 5mn3p

c.

12pqr2 4pqr

3. Simplify the following

a.

(5a2b2)(4b2c 2)

10ab2

b.

2mnp5mnq10mnpq

c.

(15a2b2)(5b2c 2)

10ab2

d.

3mnp5mnq15mnpq

4. Simplify the following

a.

2mp 7rq2

b.

3a2b6ad

c.

3x2yz3 8x3y2z

d.

5p2q (6pq3r2)

e.

4rs2 3wv

f.

2m2n 5nq2

g.

3ac2 7cd

h.

kl2 (9klm2)

5. Simplify the following

a.

10ab2c3 2bc2

b.

6m2np2mp2q

c.

12xy 3z2 4x2y2z3

d.

48p2q2r2 (6p2q2r2)

e.

14x2yz3 2xyz 2

f.

33p2qr3 3r2qp

g.

15ab3c 5a2bc2

h.

6pq2m9p2qm2

6. Solve the following:

a.

(3a2b)(6ad3)

9abd

b.

(3x 2y 2)(4xy 2)

9x 2y 3

c.

(5pq3r)(8pqr2)

10p2q2r

d.

(6kl2)(4lm3)

26l2k 2m

e.

(2mp2)(4nq2)

8mpnq

f.

(7r2q)(2p2q)

14qp2

g.

(2e2 fg3)(3hf )

18 fg2e

h.

(3w2v 3y)(6wv)

(24vyz)

Page 2: Modul 01 Until 04

KURSUS KLINIK MATEMATIK SEKOLAH MENENGAH

Anjuran: Pusat Bimbingan Nuri

2

MODUL 2

1. Simplify the following

a.

2mn 4m3mn2n

b.

3ab 4bc 5b6ab

c.

2bc 3bc abc 5bc

d.

8a2b 7ab2 8ab2 5a2b

MODUL 3

1. Given that a = 2, b = 5 and c = -3,

evaluate the following

a.

8abc

b.

3ab 7bc

c.

3bc 2a3c

d.

2a3 3ab 4c2

2. Find the value of each of the

following expression if a = 7 and b = 3

simplifying first where possible

a.

a 2b

b.

7a 4b

c.

4a 3b2ab

d.

6a5b4a3b

e.

8a6b4ab

f.

9a6b4a2b

g.

10ab ab

h.

11ab2ab

MODUL 4

1. Expand the following

a.

8(x y)

b.

3(2x y)

c.

5(2x 3)

2. Simplify the following

a.

(6x 8)2

b.

15a 9

3

c.

(12x 8y) 4

d.

20b15c

5

3. Simplify each of the following.

a.

(3x y) (6x 5y)

b.

(6x 5y) (8x 9y)

c.

(4x 3y) (5x 2y)

d.

(2x 7y) (3x 4y)

4. Simplify each of the following.

a.

6a (7a 4a)

b.

6(3x 2)18x 54y

6

c.

1

3(x 6y z)

1

2(4 8y 2z)

5. Expand each of the following

a.

2(a b)

b.

3(a 2b)

c.

5(2a 3b)

d.

8(4x 3y)

e.

7(3m 4n)

f.

8(2a5b)

g.

9(5a2b)

h.

12(5x 2y)

6. Simplify each of the following.

Page 3: Modul 01 Until 04

KURSUS KLINIK MATEMATIK SEKOLAH MENENGAH

Anjuran: Pusat Bimbingan Nuri

3

a.

(10x 15y)5

b.

(12b9c) 3

c.

(18a15b)3

d.

(27x 18y)9

e.

(6h 2k)2

f.

(12e 8 f ) 4

g.

(14u21v) 7

h.

(15p12q) 3

7. Simplify each of the following

a.

8a 3b

4

b.

12x 15y

3

c.

5a 6b

3

d.

24x 8y

4

8. Simplify each of the following

a.

(8x 5y) (7x 2y)

b.

(10x 6y) (5x 3y)

c.

(15x 12y) (8x 5y)

d.

(30a15b) (20a8b)

e.

(18a15b) (5a 7b)

f.

(28x 16y) (5x 12y)

g.

(15a24b) (12b18a)

h.

(28a17b) (26b15a)

9. Simplify each of the following

a.

10a (8a 3a)

b.

3(a 4b)2(3a8b)

c.

1

4(4x 12y 8z)

1

3(15x 12y 18z)

d.

7(4x 5)24x 18

6

e.

8(3ab) 3(5a 4b)

f.

1

8(12a 32)

1

6(24a 72)

g.

27a15b

3 3(4a5b)

h.

18x 24y

1221x 27y

9

10. Simplify each of the following.

a.

3(2m 4n)

b.

5(3r 7s)

c.

(2h g)

d.

3(2a 3c)

e.

2(pr 5pqr)

f.

3(2xy 4abc)

g.

7(2a 3b1)

h.

4(2x 5y 3z)

i.

3(ab 2cd 3ab2)

j.

5(ab2bc 3a2c)

k.

1

2(6a 4b)

l.

2

3(3q 6r)

m.

1

3(9a2 6ab2)

n.

1

5(10p5q 20)

o.

1

4(pq2qr 8r2)

Page 4: Modul 01 Until 04

KURSUS KLINIK MATEMATIK SEKOLAH MENENGAH

Anjuran: Pusat Bimbingan Nuri

4

11. Simplify each of the following

a.

3x 9

3

b.

4x 12y

4

c.

(2m10)2

d.

(6p9q) 3

e.

(2g 8h) (2)

f.

(10k 5m) (5)

g.

(8pqr 6r2)2

h.

(15ab 30bcd) (5)

i.

(4xy 2 6yz) (8)

j.

(3p 6q 4r) (2)

k.

(4x 9y 3z) (3)

l.

(2pq10qr8pqr) (2)

3. Simplify each of the following

a.

(p 2) (p 3)

b.

(2x 3) (4 3x)

c.

(6r5s) (2r 7s)

d.

(7w9v) (3v 5w)

e.

(pq 3) (3qp 2)

f.

(2mn k) (5mn 4k)

g.

(2 y) (2y 5 z)

h.

(ab 3pqr) (2pqr 7ab cd)

i.

(3x 5y 2z) (y 4z2x)

j.

(2xy 3ab2 pq) (2ab25pq 3xy)

4. Simplify the following expressions.

a.

(3p 4) (p 2)

b.

(2x 9) (x 2)

c.

(4c 3d) (d 5c)

d.

(5y 2x) (x 2)

e.

(6s5t) (9s2t)

f.

(3ac) (4c 5a)

g.

(3pq 2) (3 qp 2qr)

h.

(4ac ad) (2ac 3ad5cd)

i.

(6p 2q r) (3q2p 4r)

j.

(ac2 pqr 2q2) (3q2 2pqr 7ac2)