Page 52 - PRE-U STPM MATHEMATICS (T) TERM 1

Mathematics Term 1 STPM Answers
Exercise 1.5 Exercise 1.7
1. (a) 20 (b) 35 (c) 6 1. 2
1
3
(d) 2 (e) 1 (f) –6 1 x + 1
8 8 27 2 1
2. –
2. (a) Yes (b) No (c) Yes x + 2 x – 1
(d) Yes (e) Yes (f) No 3. 1 – 1
2
3. (a) (x – 1) (2x + 1) 2(x – 3) 2(x + 3)
(b) (x + 1)(x – 2)(3x + 1) 4. 1 + 1
(c) (x + 3)(x – 3)(x + 8) 2(x + 1) 2(x – 1)
2
(d) x(1 – x + x )(1 + x + x ) 5. 1 + 3
2
2
(e) (x + 2)(2x – 1)(2x – 3) 4(x + 2) 4(x – 2)
(f) (x + 1)(x – 2)(2x + 1)(2x – 1) 6. 1 + 2
8
4. – 3(x + 4) 3(x + 1)
9 7. 1 + 2 – 3
2
6. a = , b = 7 2 + x 3 + x 4 + x
3 3 2 1 1
7. p = 3, q = –6 8. – x + 2 + x – 1 + x + 1
8. a = –5, b = 7 7 7 2
9. a = 3, b = –5 9. 24(x – 3) + 8(x + 1) – 3x
10. 3, –2 10. 3 + 5 – 4
11. k = 6, 0, –6 2(x + 1) 6(x + 3) 3x
12. a = 3, 3(x – 3)(x + 1) ; a = –3, –3(x + 3)(x – 1) 2 11. 1 – 1
2
13. 1, –1 ± 3 1 + x (1 + x) 2 3
2
1
1
1
14. 2; , –1, –3 12. x – 1 – x + 2 – (x + 2) 2
2
15. a = 3, b = –9, x = –1, 2, 2 13. – 1 + 5 + 4 2
16. a = 10, b = 1; 4 2 3(2x – 1) 3 3(x – 2) (x – 2)
1
Exercise 1.6 14. x – – 2x + 1
2
x
1. (a) –1 < x < 2 (b) x , –5, x . 3 15. – 2 + 1 – 1
1
1
(c) –4 , x , 3 (d) x < – , x > 1 x 2(x – 1) 2(x + 1)
2 2 4 1 1
2
(e) –10 < x < 3 (f) x , – , x . 2 16. 1 + x – 1 – x + 1
5
1
1
2. (a) {x : x < –3 or x > 3} (b) {x : x ∈ R, x ≠ –1} 17. 1 – x + 1 – x + 2
2
(c) {x : –3 < x < –2} (d) {x : – < x < 1} 4 1
5
1
1
(e) {x : –1 , x , } (f) {x : x < – , x > 3} 18. 2 – x + 2 + x + 1
2 2
4
1
3. (a) x , –3, –2 , x , 1 (b) x < –1, x = 2 19. x – 2 + x + 1 – (x + 1) 2
1
(c) x > 1, x = –2 (d) x , –2, – , x , 1 20. x + 2 – 1
2
1
4
3
(e) x < – , < x < 4 (f) –2 < x < , x > 5 x – 1 x + 1
5 2 2 x 1
2
4. (a) –3 , x , –2, x . 1 21. x + 1 – x + 2
x
(b) –1 , x , 1 2 22. 1 x – x + x + 1
2
3
(c) x < – , 2 , x < 4 1 1 – x
2 23. x – 1 + x + x + 1
2
1
(d) x , –2, – , x , 1, x . 3
2 24. 1 – x
2
(e) x , –3, x . 4, x = 1 x – 1 x – x + 1
1
(f) x , (7 – 3 5 ), , x , 2, x . (7 + 3 5 ) 25. 1 – 1 + 1 2 + 1 2
1
1
2 2 2 8(x + 1) 8(x – 1) 4(x – 1) 2(x – 1)
5. (a) 1 , x , 3 (b) x < –2, x > 8 Exercise 1.8
1
(c) x , –3, x . (d) –3 < x < 8 1. (a) y (b) y
3
1 7
(e) x > (f) 1 , x ,
2 3
5
(g) –6 < x < 0 (h) x , – , x . 5 2
6
(i) x . – 3 (j) x , –8, x . – 8 1 1
5 3 x x
(k) –4 < x < –1, 1 < x < 4 0 0
(l) x , 0
271
Answers STPM Math T S1.indd 271 3/28/18 4:25 PM