Page 114 - ADVANCED MATH F.5

Form Five Form Five

24. (a) 0 (b) (y xz xz y− )( − )( − )

x x 2 x 3
25. 2 + − + − ..., −< < 4.
x
4
FOR ONLINE READING ONLY
4 64 512
29. 1 2x+ + 3x + 2 4x + 3 
 − 6 − 4 13 
)
30. x = 1, y = − 4, z = − 4 31. (a) (19 31 (b) −   1 − 2 3  
2 11 20 3 3   3 − 6 − 10  
x
33. + x + x 2 ; − <<
9 27 27 2 2
36. (a) k = − 6, k = 6 (b) k <− 6 or k > 6

1
37. (a) x <− 5 or x > (b) 2 << 3 or x >
8
x
5
38. ( nn + 2 6n + 11 ) ; 296616
296,616
39. (b) 3 carton of concentrated product, 1 carton of diluted product
and 2 cartones of dry product.

41. (a) (i) 28x− 4 + 51x − 3 71x + 2 62x − 35
(ii) 8x − 4 7x − 3 7x + 2 29x + 48

(b) m = 17, n = 15, p = 19, q = − 16, r = 6, t = − 4
1 8x + 2
4
42. (a) 10x − 5 4x − 4 80x + 3 52x − 2 8x (b) x ++
2
10 10x − 4x
(c) x − 3 10x − 2 4x + 2 (d) 2x + 6 68x − 4 72x + 3 48x − 2 64x + 8

43. (a) x + 5 4x + 4 12x + 3 48x + 2 194x + 668; Remainder = 2,675

(b) x + 5 4x + 4 12x + 3 48x + 2 194x + 668; Remainder = 2,675

108
Mathematics for Advanced Secondary Schools

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