Algebraic Expressions and Identities (IMO- Mathematics Olympiad Class 8): Questions 24 - 31 of 63

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Question number: 24

» Algebraic Expressions and Identities

MCQ▾

Question

If +1x=3 , find the value of x4+1x4 .

Choices

Choice (4) Response

a.

47

b.

72

c.

27

d.

25

Question number: 25

» Algebraic Expressions and Identities

MCQ▾

Question

If +1x=2 , find the value of x4+1x4 .

Choices

Choice (4) Response

a.

4

b.

2

c.

3

d.

5

Question number: 26

» Algebraic Expressions and Identities

MCQ▾

Question

The product of (x3+4x2+2x+1) and (x1) is________.

Choices

Choice (4) Response

a.

x4+3x32x2x1

b.

x43x32x2x1

c.

x4+3x3+2x2+x+1

d.

x4+3x3+2x2x1

Question number: 27

» Algebraic Expressions and Identities

MCQ▾

Question

The value of the product (2+1x) and (211x+15x2) at x = 1 is________.

Choices

Choice (4) Response

a.

18

b.

15

c.

17

d.

14

Question number: 28

» Algebraic Expressions and Identities

MCQ▾

Question

The degree of constant polynomial is ________.

Choices

Choice (4) Response

a.

0

b.

1

c.

2

d.

3

Question number: 29

» Algebraic Expressions and Identities

MCQ▾

Question

If 5x4y=8 and xy=0 , then the value of 25x2+16y2 is________.

Choices

Choice (4) Response

a.

51

b.

49

c.

64

d.

22

Question number: 30

» Algebraic Expressions and Identities

MCQ▾

Question

The perimeter of a triangle is 6p2+2p+3 and two of its sides are p2+2p+1 and 2p2+2p+1 . Find the third side of the triangle.

Choices

Choice (4) Response

a.

2p2+p3

b.

3p22p+1

c.

2p22p1

d.

5p22p+1

Question number: 31

» Algebraic Expressions and Identities

MCQ▾

Question

What must be subtracted from a2+2ab+2b2+1 to get a2+b1 ?

Choices

Choice (4) Response

a.

2b2b2ab+2

b.

2b22b+2ab+2

c.

2b2b+2ab+2

d.

2b2+b+2ab+2

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