Page 113 - ADVANCED MATH F.5

Form Five Form Five

Answers to Revision Exercise 5

0
7
3
2
3. (a) x + 9x + 45x += (b) x + 3 x − 2 17x − 49 0=
2
3
(c) x − 6x + 14x −=
8 0
FOR ONLINE READING ONLY
1 2 3x + 2
4. Factors: x + 1, x − 1, and x + 2 4, − + 5. k = 2 5 2−
x + 1 x − 1 x + 2 4
3 43x
−
6, d =
−
6. + 2 7 6xx− ; a = 7,b = − 2 − + 7x − 6, c = 4 6 ,x a = 7, b = 0, e = − 7, f = 6, c = − − 1, d = 6 0,
5
+
1 x 1 x
+
e = 7, f = − 6
2 5 4
7. n = 15 8. (x − 2) 6 + (x − 2) 7 + (x − 2) 8
 2 
:
11. xx <− 2, 1 x− ≤ ≤ or x > 4 

 3 
3 3 1
13. (a) − − .
2
36 x − ( 3 ) 36 x + ( 3 ) ( 6 x + ) 3
2 2x 25x−
(b) − + .
2
x x + 3 ( x + ) 3
2
 11 − 4 1 


14. −   25 9 − 2 15. x = 30, y = 20, z = − 60z = − 60

 
 15 − 5 1 
1 3
16. x = , y = 1,and z =
2 2
2 1 4
17. (a) 1 3x− + 6x − 2 10x + 3  (b) 1− x − 2 x − 4 x + 6 
3 9 81
21875 3 1 1 n n+ 1
18. x 4 20. − + , Coefficient = n − ( 1) − 3
128 3x − 1 x + 1 (x + 1) 2
21. (a) 1.00499 (b) 0.9933 22. n = 11; 55, 165, and 330.

107
Mathematics for Advanced Secondary Schools

30/06/2024 18:02:24
ADVANCED MATH F.5 TG CHAPTERS.indd 107
ADVANCED MATH F.5 TG CHAPTERS.indd 107 30/06/2024 18:02:24