9.19 19
© 2009 Chung Tai Educational Press. All rights reserved.
Build-up Exercise 9A (page 9.9) 1. (a)
a41 (b)
x7 (c)
cd1
2. (a) b31 (b)
xy4 (c)
24rpq
3. (a) )(3
1yx −
(b) 2)( cb
a+
(c) qnm
3−
4. (a) qp 4
2−
(b) 35+n (c)
bab−32
5. (a) baab32
3−+ (b)
21
− (c) 52z
6. (a) ba (b)
2p
− (c) 4
1 x+
7. (a) 25y (b)
21 (c)
31q
8. (a) ba28 (b) 3 (c) 23d
9. (a) b2 (b)
101
− (c) yx23
−
10. (a) 2xy (b)
81
− (c) ab21
11. (a) c (b) q3 (c)
231y
12. (a) ))(( yxba ++ (b) 3a
13. (a) )1)(1( ba ++ (b) ba+
−1
Build-up Exercise 9B (page 9.11) 14. (a) 7 (b) 1 (c) −5 (d) −3
15. (a) x2
− (b) y5
(c) z3
− (d) ba14
16. (a) ba +
9 (b) yx
x+− 32
(c) 2 (d) −1
17. (a) h21 (b)
a47
(c) c
b329 + (d)
hk35
−
18. (a) c2021 (b)
a611
(c) a
x24
2015 − (d) vu
1511
19. (a) 8 (b) 4b (c) 12 −d (d) gf 2+
20. (a) nm −7
9 (b) 1
(c) 1
2−ww (d) 1
21. (a) )3(4
11x+
(b) )(2
13ba +
(c) )6(5
14−xx (d)
)(21
bab+−
22. (a) )(6
1yx +
− (b) )11(12
83+
+h
h
(c) )5(20
45−+
mm (d)
)2(24316yxxy
−+
23. (a) x
x21− (b)
yy
692 −
(c) )12(3
3−
−zz (d)
baba
351010
−−
24. (a) (i) )8(
8++xxx (ii)
)8( +xxx
(b) )8(
8+xx
Build-up Exercise 9C (page 9.13) 25. (a) 15 (b) 36
(c) 23 (d)
121
26. (a) 21 (b) 4
(c) 8 (d) 4
27. 41
− 28. 225
29. 90 30. 16
31. 80.08 32. 2
33. 33 34. 8
35. 100 36. 59
37. 5 38. 9.8
39. −2 40. 65
−
41. 23
42. (a) a121 (b) 20
43. (a) 471 (b) 4
44. (a) (i) 4 (ii) 12 cm (b) (i) 9 (ii) 49 cm
9.20
© 2009 Chung Tai Educational Press. All rights reserved.
45. (a) 400 (b) 1 600 (c) 1 220
46. (a) 32 (b) (i) 212°F (ii) 78.5°C (c) Yes
Build-up Exercise 9D (page 9.16) 47. (a) O (b) P (c) O (d) O
48. (a) bcda −= (b) cadb −
=
(c) badc −
=
49. (a) yxz −−= 360 (b) 52yx =
50. (a) 32+
=yx (b)
683 −
=yx
51. (a) 74 += ab (b) 346 pq −
=
52. (a) 36nm = (b)
32pq =
53. (a) babc −
=2
(b) ttusv −
=2
54. (a) 816−
=yx (b)
xxyz
3−
=
55. (a) vu
Pm+
= (b) 113
9+
=ffe
56. (a) bebcad −
= (b) 621+
=pq
57. (a) y
x121
−= (b) )14(3
22 −
=bba
58. (a) bfdTeTca +−−+= (b) bca
Se −+
=
59. (a) 221+−
=w
wr (b) 1
2
−=mmn
60. (a) 4
4+
=x
t (b) 2)4(
64+
=x
y
61. (a) (i) 2
1−−
=xxa (ii)
21
−−
=yya
(b) xxy2334
−−
= (c) yyx2334
−−
=
62. (a) xyxy −
(b) (i) Axxy−
=1
(ii) 81
−
60. (a) $5 400 (b) PPAT
02.0−
=
(c) 10 years