ANSWERS 703
2a^3 b+2a
ab
b^4 d+3a
ad
c^5 b¡^3 a
ab
d a
m
e^3 a+b
3 y
f^3
2 a
g^3 b¡^2
ab
h dc+ab
ad
i
4+a
b
j
2 d¡ac
ad
k
15 +x^2
3 x
l
pd¡ 12
6 d
m
m^2 +3n
3 m
n
2 mn¡mp
np
o
17 b
20
p
16 b
15
3ax+6
3
b m¡^2
2
c^4 a
3
d b¡^10
5
e
x¡ 18
6
f
12 +x
4
g
30 ¡x
6
h
2 x+3
x
i^6 x¡^3
x
j b(^2) +3
b
k 5+x
2
x
l ¡^11 y
6
4a^14 x
15
b^11 x
35
c^11
2 a
d^21
4 y
e^3 c+4b
bc
f^5 b¡^24 a
4 ab
g x+30
10
h^12 ¡x
3
EXERCISE 16D.1
1a
9 x¡ 4
20
b
5 x+10
6
c
20 x¡ 7
42
d
a+5b
6
e^13 x¡^9
20
f^5 x+11
14
g x+15
30
h x¡^7
42
i^2 ¡^3 x
10
j^3 x¡^1
12
k^2 x+1
15
l^25 x+5
24
2a^5 x¡^1
(x+ 1)(x¡2)
b^12 x+17
(x+ 1)(x+2)
c x+14
(x¡1)(x+2)
d ¡^6
(x+ 2)(2x+1)
e
7 x+8
(x¡1)(x+4)
f
3(5x+2)
(1¡x)(x+2)
g^4 x+3
x(x+1)
h 3(x+5)
x(x+3)
i x
(^2) ¡x+6
(x+ 2)(x¡4)
j 2(x¡1)
x¡ 3
k 2(x¡1)
x+2
l^2 x
(^2) +4x¡ 3
(x+ 3)(x+2)
m
7
(2x¡1)(x+3)
n
17 x¡ 7
x(3x¡1)
o
¡ 5 x¡ 2
(x+ 2)(x¡2)
p
x+2
x(x+1)
q
x^2 +1
x(x¡1)(x+1)
r
4 x^2 ¡x¡ 9
(x+ 1)(x¡1)(x+2)
s
2 x^3 ¡x^2 +1
x(x+ 1)(x¡1)
3a^6
x+3
b 114 c^4
x¡ 4
d 5
e
x¡ 1
x+2
f
x¡ 2
x
g
x¡ 1
3 x+5
h
2 x+3
x¡ 1
4acosμ=x+2
x^2
, sinμ=x¡^1
x^2
, tanμ=x¡^1
x+2
bsinμ¥cosμ=x¡^1
x^2
¥x+2
x^2
=x¡^1
x^2
£ x
2
x+2
=x¡^1
x+2
EXERCISE 16D.2
1a2+x
x(x+1)
b 2+x
2
x(x+1)
c 2(x
(^2) +2x+2)
(x+ 2)(x¡3)
d 2(x+5)
x+2
e x
(^2) ¡ 2 x+3
(x¡2)(x+3)
f x¡^5
x¡ 2
g
2(x¡5)
x¡ 1
h
x+14
x+7
2a
2(x+1)^2
(x+ 2)(x¡3)
bix=¡ 2 or 3 ii x=¡ 1
3a¡^2
x¡ 2
b^2
x+4
c x¡^2
x+2
d x¡^6
2 ¡x
e ¡(x+2)
4 x^2
f^12 ¡x
16 x^2
4a
x+3
3(x+1)
bix=¡ 1 or 2 ii x=¡ 3
REVIEW SET 16A
1a 3 x b 3 n c
x
6
d
2
x
2a
2
c+3 bcannot be simplified c x+2 d
x
3(x+2)
3a
19 x
15 b
2 x^2
5 c
10
9 d
x
15
4a 4 b¡ 5 c 2 x
5a^11 x+1
12
b^16 x¡^9
14
c^3 x+2
x(x+2)
6a
¡ 2
x+4
b
x+3
x
c
2 x+1
3 x+2
7a
2(x¡2)
x+1
bix=¡ 3 or¡ 1 iix=2
REVIEW SET 16B
1a^23 b 2 x c 3 n d 2 x
2acannot be simplified b x+5 c^2
a+4
d b
2(b¡a)
3a^11 x
4
b ¡^5 x
4
c^3 x
2
2
d^38
4a¡ 1 b^52 c
3 x
a
5a^13 x¡^5
15
b ¡^5 x+3
6
c x+6
2 x(x+2)
6a2(x¡2) b
x¡ 7
x¡ 2
c
3 x+1
4 x+1
7a¡3(x¡4)
x¡ 2
bix=§ 2 iix=4
8a¡^10
x¡ 1
b x+3
x
EXERCISE 17A
1aThe variable can take any value in the continuous range 75
to 105.
b 856 w< 90. This class has the highest frequency.
csymmetrical d¼ 89 : 5 kg
2a 406 h< 60 b ¼ 69 : 6 mm c 46 of them d30%
ei¼ 754 ii¼ 686
3a 16 d< 2 b ¼ 1 : 66 km c 33 :5% d 9 students
4a 32 :5% b ¼ 22 : 9 min c ¼ 1490 people
IB MYP_3 ANS
cyan magenta yellow black
(^05255075950525507595)
100 100
(^05255075950525507595)
100 100
Y:\HAESE\IGCSE01\IG01_an\703IB_IGC1_an.CDR Wednesday, 19 November 2008 9:12:59 AM PETER