Simplification Worksheet-6

Simplification Worksheet-6

1. The value of is :

(a)                   (b)                  (c)                    (d)

2. If , then the value of x is :

(a)                  (b)                  (c)                  (d)

3. If , then the value of x is :

(a)                    (b)                   (c) 1                     (d)

4. is equal to :

(a) 2                    (b) 4                    (c) 6                    (d) 8

5. is simplified to :

(a)                    (b) 2                    (c) 6                    (d) None of these

6. Simplify :

(a)                  (b)                  (c)                  (d)

7. If where x, y, z are natural numbers, then x, y, z are :

(a) 1, 2, 5            (b) 1, 5, 2           (c) 5, 2, 11          (d) 11, 2, 5

8. If x = 1 – q and y = 2q + 1, then for what value of q, x is equal to y ?

(a) –1                  (b) 0                    (c)                    (d) 2

9. Find x if

(a) –120             (b) –100            (c) 100                (d) 120

10. If 4x + 5y = 83 and , then y – x = ?

(a) 3                    (b) 4                    (c) 7                    (d) 11

11. Which of the following values of x and y satisfy the following equations I and II ?

I. 3x + y = 19              II. x – y = 9

(a) –7, –2          (b) –7, 2             (c) 7, –2             (d) 7, 2

12. If a + b = 5 and 3a + 2b = 20, then (3a + b) will be :

(a) 10                  (b) 15                  (c) 20                  (d) 25

13. If 2p + 3q = 18 and 2p –q = 2, then 2p + q = ?

(a) 6                    (b) 7                    (c) 10                  (d) 20

14. If 2x + y = 5 and 3x – 4y = 2, then the value of 2xy is :

(a) 4                    (b) 6                    (c) 8                    (d) 10

15. If 3x – 5y = 5 and , then what is the value of x – y ?

(a) 3                    (b) 4                    (c) 6                    (d) 9

(e) None of these

16. If 4x + 3y = 18xy and 2x – 5y + 4xy =  0, then the values of x and y will be respectively :

(a) and                               (b) – 1 and – 3

(c) and                                    (d) and

17. If 2x + y = 17; y + 2z = 15 and x + y = 9, then what is the value of 4x + 3y + z ?

(a) 41                  (b) 43                 (c) 45                  (d) 55

(e) None of these

18. If 3x – 4y + z = 7; 2x – z + 3y = 19; x + 2y + 2z = 24, then what is the value of z ?

(a) 4                    (b) 5                    (c) 6                    (d) 8

19. If 2x + y = 15, 2y + z = 25 and 2z + x = 26, what is the value of z ?

(a) 4                    (b) 7                    (c) 9                    (d) 11

20. If 2x + 3y = 31, y – z = 4 and x + 2z = 11, then what is the value of x + y + z ?

(a) 12                  (b) 13                  (c) 15                   (d) 16

Answer Key:

(1)-d; (2)-d; (3)-c; (4)-b; (5)-d; (6)-b; (7)-b; (8)-b; (9)-d; (10)-b; (11)-c; (12)-d; (13)-c; (14)-a; (15)-a; (16)-c; (17)-e; (18)-b; (19)-d; (20)-c