Algebra MCQs

Question 1

If $$\frac{x}{a} = \frac{1}{a} - \frac{1}{x}{	ext{,}}$$ then the value of x - x 2 is?

Accepted Answer

a

Answer

-a

Answer

$$\frac{1}{a}$$

Answer

$$ - \frac{1}{a}$$

Question 2

$${	ext{If }}{\left( {\frac{3}{5}} ight)^3} 	imes {\left( {\frac{3}{5}} ight)^{ - 6}} = $$ $${\left( {\frac{3}{5}} ight)^{2x - 1}}{	ext{,}}$$ then x is equal to?

Accepted Answer

-1

Answer

-2

Answer

2

Answer

1

Question 3

If $$x + \frac{1}{x} = \frac{{\sqrt 3 + 1}}{2},$$ then what is the value of $${x^4} + \frac{1}{{{x^4}}}?$$

Accepted Answer

$$\frac{{ - 4\sqrt 3 - 1}}{4}$$

Answer

$$\frac{{4\sqrt 3 - 1}}{4}$$

Answer

$$\frac{{4\sqrt 3 + 1}}{2}$$

Answer

$$\frac{{ - 4\sqrt 3 - 1}}{2}$$

Question 4

If a(x + y) = b(x - y) = 2ab, then the value of 2(x 2 + y 2 ) is?

Accepted Answer

4(a 2 + b 2 )

Answer

2(a 2 - b 2 )

Answer

2(a 2 + b 2 )

Answer

4(a 2 - b 2 )

Question 5

If $$x + \frac{1}{{4x}} = \frac{3}{2}{	ext{,}}$$ find the value of $${	ext{8}}{x^3}{	ext{ + }}\frac{1}{{8{x^3}}} = ?$$

Accepted Answer

18

Answer

36

Answer

24

Answer

16

Question 6

If x - y + z = 0, then find the value of $$\frac{{{y^2}}}{{2xz}} - \frac{{{x^2}}}{{2yz}} - \frac{{{z^2}}}{{2xy}}?$$

Accepted Answer

$$\frac{3}{2}$$

Answer

$$\frac{1}{2}$$

Answer

$$-6$$

Answer

$$ - \frac{3}{2}$$

Question 7

The factors of (a 2 + 4b 2 + 4b - 4ab - 2a - 8) are?

Accepted Answer

(a - 2b - 4)(a - 2b + 2)

Answer

(a - b - 2)(a + 2b + 2)

Answer

(a + 2b - 4)(a + 2b + 2)

Answer

(a + 2b - 4)(a - 2b + 2)

Question 8

If $$\sqrt x + \frac{1}{{\sqrt x }} = 2\sqrt 2 ,$$ then $${x^2} + \frac{1}{{{x^2}}}$$ is equal to:

Accepted Answer

34

Answer

64

Answer

36

Answer

32

Question 9

If $$x + \frac{{16}}{x} = 8,$$ then the value of $${x^2} + \frac{{32}}{{{x^2}}}$$ is:

Accepted Answer

18

Answer

20

Answer

24

Answer

16