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Algebra Worksheet-10

Algebra Worksheet-10

 

  1. The zero of the polynomial is

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

 

  1. The product of (a – b) (a + b) (a2 + b2) is

(a) a2 – b2          (b) a4 + b4          (c) a4 – b4          (d) a2 + b2

 

  1. The product of 100x with (0.01x4 – 0.1x2) is

(a) x3 – x5          (b) x5 – 10x3      (c) x3 + x5          (d) x3 + x4

 

  1. Which of the following is equivalent to the expression?

(4) (–x) (–y)

(a) 4xy                                            (b) –4xy

(c) (–4) (x) (y)                              (d) (–4) (–x) (–y)

 

  1. The zero of the binomial ax + b is

(a) 0                    (b)                   (c)                 (d)

 

  1. On simplification the value of  (3x2 + 5x – 7) (x – 1) – (x2 – 2x + 3) (x + 4) is

(a) 2x2 – 7x – 5                             (b) x3 – 7x – 5

(c) 2x3 + 7x + 5                             (d) x3 + 7x – 5

 

  1. Statements:

p: x3 – y3 – 3x3 is trinomial.

q: An algebraic expression containing three unlike terms is called a trinomial.

(a) Both p and q are true            (b) p is true and q is false

(c) Both p and q are false           (d) p is false and q is true

 

  1. Division of p(x) by q(x) is possible, if ........

(a) Degree of p(x) < degree of q(x)

(b) Degree of p(x) < degree of q(x)

(c) Degree of p(x) > degree of q(x)

(d) No relation between degree of p(x) and q(x)

 

  1. What is the missing term in the following product?

(2a3 – 3) (5a3 – 2) = 10a6 + ....... + 6

(a) 19a3             (b) –19a3           (c) 16a3               (d) –16a3

 

  1. The expression 4(x – 2) + 3(x – 1) is equal to

(a) 7x – 11         (b) 7x + 11         (c) 6x – 10         (d) 6x + 10

 

  1. The value of is

(a)                                 (b)

(c)                                  (d)

 

  1. The value of n3 + 5n2 + 5n – 2 when n = –2 is

(a) 16                  (b) 0                    (c) –40               (d) 10

 

  1. If then b equals.......

(a)     (b)     (c)               (d)

 

  1. Addition of and a3 + b3 + c3 is

(a)               (b)

(c)             (d)

 

  1. Step 1: x2 – 3x2y2 + x2y2 – 2x2 – 3y2 + 12x2y2

Step 2: (x2 – 2x2) + (–3x2y2 + x2y2 + 12x2y2) – 3y2

Step 3: (–x2 + 10x2y2 – 3y2)

Are the above given steps showing simplification of algebraic expression x2 (1 – 3y2) + x(xy2 – 2x) – 3y(y – 4x2y) ?

(a) Yes

(b) No

(c) Only step 1 is correct

(d) Only steps 1 and 2 are correct

 

  1. Which expression is equal to 5(2x + 1 – x – 4)?

(a) 9x – 3           (b) 5x – 15         (c) 5x – 3           (d) 5x + 25

 

Answer Key:

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