1. Review Exercise 15
Subjective Questions
1. Copy and complete.
(a) 2mn =  ×  ×  (b) 8pq =  ×  × 
(c) –5krs =  ×  ×  ×  (d) 13uvw =  ×  ×  × 
2. Complete the following.
(a) In the algebraic term 10hx,
(i) the coefficient of h is 
(ii) the coefficient of x is 
(iii) the coefficient of hx is 
(b) In the algebraic term –
3rt
4
,
(i) the coefficient of t is 
(ii) the coefficient of r is 
(iii) the coefficient of rt is 
3. State the coefficients of xy, x and y in each of the following algebraic terms.
(a) 4xy (b) –xy
2xy
(c)
5
(d) –
8xy
13
4. Determine whether the following algebraic terms are like terms or unlike terms.
(a) 3mn and 4mn (b) 6hk and –7kh
(c)
1 xyz and yz (d) 4a2b and –4ab2
2
(e) uvw and 9wvu (f) –2pqr and 10pmq
(g) 5tu2 and –4tu (h) klmn and 8lmn
5. Write down the like terms for the algebraic term 2cde in the list below.
5cde, –4cef,
1 de, 12dec, 15aed
3
6. Determine the pairs of like terms by joining the corresponding two points.
2ab –5kx2 pqr 12tyz 4tx2
· · · · ·
· · · · ·
–4rqp tx2 6x2k 8ba 14tzy
© Pearson Malaysia Sdn. Bhd. 2008 Essential 1 Mathematics PMR

2. Review Exercise 15
7. Simplify.
(a) 4 × 3hk (b)
c
3
× 15cd
(c) –2mn ×
5n (d) –
6
4 p2r × (–14pr)
7
8. Find the following products.
(a)
1 pr ×
2
3
pq (b)
5
8 kl ×
11
22 lm
7
(c) –
3 abc ×
4
2 ac (d)
3
1 u2v × (–15vw)
6
9. Simplify each of the following.
(a) 2pq ÷ 4 (b) 12uv ÷ (–6)
(c) 20xyz ÷ 5z (d) –35kmn ÷ (–7mn)
(e) 3abc ÷ (–
1 a) (f) –8rst ÷ (–12rt)
2
(g) –2kcvp ÷
1 v (h) 27xyzw ÷ (–
3
3 y)
2
10. Simplify each of the following.
xyz
7
14
(a) y
pqrs
4
-20
(b) qs
(c)
tuv
3
u
6
-
(d)
abck
8
bk
32
-
-
mpy
9
18
- (f)
(e) py
kvwx
6
kwx
12
frt
-5
(g) 15
frt
xyzw
36
-
24
-
(h) xyz
11. Simplify each of the following.
pqr
9´4
(a) 12
p
(b)
st ´ rt
3 5
-
15
ijk jk
14
-4 ´7
(c) ijk
(d)
ab ´ -
ac
4 ( 6 )
bc
54
-
yz xyz
- ´ -
8 ( 12 )
(e) -
32
xy
ft aft
20
-15 ´(-16 )
(f) f
(g)
uvw
7 15
21
- ´
u w
mphy
24
py h
(h) - 10 ´ ( -
3 )
12. An estate has planted with b rows of rubber trees. If there are n rubber trees in a row,
state the total number of rubber trees in the estate.
© Pearson Malaysia Sdn. Bhd. 2008 2 Essential Mathematics PMR

3. Review Exercise 15
13. Mrs Chow bought x kg of star fruits for a total price of RM H. Express the price, in
RM, of y kg of the star fruits.
14. Copy and complete the table below.
Algebraic expression Terms Number of terms
(a) 3ab + 2kh
(b) 5pq – rs + 8
(c) 2m2 + 4mn – cy + 1
(d) x3 + 2xyz + z3 + x2y + 4
15. Simplify.
(a) 2hk + 7hk (b) 4abk + 8abk
(c)
1 ap2 +
4
1 ap2 (d) 3qh – 5qh
2
(e) –6xm + 9mx (f) –
5 nrs +
12
1 snr
6
(g) –2wyz –3wyz (h) –13bft2 – 7bft2
16. Simplify each of the following.
(a) 5hy – hy (b) –4bm – 6bm
(c) –4ght – ght (d) 8xyz – (–3xyz)
(e) 18abr – (–11abr) (f) –13pqr3 + 19 pqr3
(g) 14v2y- – 9v2y (h) –
2 npq – (–
7
11 npq)
14
17. Simplify each of the following.
(a) 8xy + 3 + xy (b) 6pq + 2rs + 4pq + 5rs
(c) 3uv + 7hm – 2uv + 2hm (d) –5rst – 4r2s + 10rst – 3r2s
(e) 2ay – 13bw2 – ay + 15bw2 (f) –4g2x2 + 6fy – 5g2x2 – 4fy
(g)
1 abc + 3bd3 –
2
5 abc –
6
1 bd3
3
(h) 9cp2q –
3 hx – 5cp2q +
4
1 hx
8
18. Simplify.
© Pearson Malaysia Sdn. Bhd. 2008 Essential 3 Mathematics PMR

4. Review Exercise 15
(a) (2mp – 2qh2) + (5mp – 8qh2)
(b) (–3a2zx + 8b2y) + (8a2zx – 10b2y)
(c) (
3 dp2t – 2qrs) + (
8
1 dp2t – 5qrs)
2
(d) (
8 hyv3 +
15
4 kmn2) + (
9
1 hyv3 –
3
1 kmn2)
9
19. Simplify each of the following.
(a) (4py + 4) – (–3py – 2)
(b) (–13tq – 9kbc) – (3kbc + 15tq)
(c) (7auv + 4bpq2) – (auv – 8bpq2)
(d) (4t2q2 – 10abc) – (–4abc + 10t2q2)
20. Simplify each of the following.
(a) 5(4pa – 3qb) (b) 2(–3kts + hyz – 5)
(c)
3 (12wx2 – 8u2v) (d)
4
2 (10kmn – 15xq2y + 5yz)
5
21. Simplify each of the following.
(a)
3rh +6sk
3
(b)
15 20 2
pqr - y s
5
-
(c)
48 24 3
- mph + nqk (d)
12
-
35uvw -7tw + 28x2 y -14
7
22. Simplify each of the following.
(a) 2(13tw – 8z) + 3(5wt + 10z)
(b) 4(8mn + 9xyz) – 2(–xyz + 4mn)
(c)
1 (8hk + 6prt) – 5(hk – 2prt)
2
(d) 7(2a2b3 – 3cd4 ) +
1 (24a2b3 + 6cd4 )
6
© Pearson Malaysia Sdn. Bhd. 2008 4 Essential Mathematics PMR