Algebra Worksheet-11

Algebra Worksheet-11

1. Simplify .

(a)                                              (b)

(c)                                              (d)

2. If then the value of is

(a)            (b)            (c) 10                  (d) 11

3. The product of and

(a)                       (b)

(c)                       (d)

4. If then the incorrect expression from the following is

(a)                                 (b)

(c)                             (d)

5. The algebraic expression which is obtained on addition of following algebraic expression is

(a) 2y                  (b) 0                    (c) 2y – y²+ 4    (d) y³ – y²  + y + 4

6. Subtract the sum of (8x – 6a² + 9) and (–10a – 8 + 8a²) from –3 is

(a) 2a² – 2a – 2                            (b) 2a² – 2a + 4

(c) –2a² + 2a – 4                          (d) –2a² + 2a – 2

7. The value of 9x² + 49y² – 42xy when x = 15 and y = 3 is

(a) 636               (b) 576               (c) 456                (d) 386

8. What is the value of ax² + bx + c at ?

(a) a                    (b) b² – 4ac       (c) c                     (d) 0

9. An object is dropped from a small plane flying at a height of 1000 cm above the ground. As the object falls, d, its distance above the ground after t seconds is given by the formula below

D = –16t² + 1000

How far above the ground is the object, when it has fallen for 4 seconds?

(a) 984 cm        (b) 936 cm        (c) 872 cm         (d) 744 cm

10. The degree of 3x²y⁴z⁶ is

(a) 2                    (b) 12                  (c) 4                    (d) 6

11. Factor of the polynomial 3x + 3 is

(a) 3(x – 3)       (b) 3(x+1)           (c) 3(x+3)          (d) 3(x – 1)

12. A factor of (3x⁴ – 12y⁴) is

(a) 3                    (b) x² – 2y²        (c) x² + 2y²        (d) All of these

13. If then the value of

(a) 36                  (b) 33                 (c) 30                  (d) 39

14. An expression is taken away from 3x² – 4y² + 5xy + 20 to obtain –x² – y² + 6xy + 20, then the expression is

(a) 4x² – 3y² – xy                         (b) 2x² – 5y² + xy + 40

(c) 3y² – xy – 4x²                         (d) 4x² + 3y² + xy

15. The given algebraic expression of its exponent in ascending order is

x – x⁸ + x² – 1.7x¹⁰ + 1.4x⁸ – 7.8x² + 4 – 9x

(a) 4 – 8x – 6.8x² + 0.4x⁸ – 1.7x¹⁰

(b) –1.7x¹⁰ + 0.4x⁸ – 6.8x² – 8x + 4

(c) 4 – 6.8x – 8x² + 0.4x⁸ – 1.7x¹⁰

(d) –1.7x¹⁰ – 0.4x⁸ – 6.8x² + 8x + 4

16. Simplify 2y² + 8y² – 5y²

(a) 5y²                 (b) 4y²                (c) 2y²                 (d) 3y²

17. The degree of a polynomial ax⁵ – bx² + c is

(a) 9                    (b) 5                    (c) 4                    (d) 1

18. Simplify the following expression. x(y – z) – y(z – x) – z(x – y)

(a) 2x(y – z)      (b) 2y(z – x)      (c) 2x(z – y)      (d) None of these

19. The number of diagonals drawn from one vertex of a polygon of n sides is

(a) (n – 1)          (b) (n – 2)         (c) (n – 3)                   (d) n

20. The simple algebraic expression of 4st(s – t) – 6s²(t – t²) – 3t²(2s² – s) + 2st(s – t) is

(a) –st²               (b) –2st²            (c) –3st²             (d) –4st²

Answer Key:

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