Algebra Test - ...

What will be the expression after rationalising ?

Which of the following is the simplest form of the expression ?

If 1 is taken as numerator and 13 + is taken as denominator, the expression will be equal to

What will be the simplest form of the given expression?

What will be the values of a and b, if ^.

The expression is equivalent to

The reciprocal of is

Evaluate: (204)³

If = ^{, find the value of n.}

Solve the following equations for x and y:

2^{x - 1} + 3^{y - 1} = 5 and 2^{x + 3} - 3^y = 23

Find the value of , if log_a961 = 1.

Evaluate:

Area of a right angled isosceles triangle is increased by 21% of its actual area. If it is bordered by 3 metre wide strip, find the length of equal sides.

If x + = and y + = , then find the value of x³y³ + .

What is the difference of from the sum of , and ?

Solve: + 4 = and 9 - = +

Evaluate: x-2 - y-2, where x = 4 + and y = 12 - 3

Ram said to Sham, If you give me half of your money, I will have four times of yours, and if I give you of what I have, you will have 130 more than me. Find the total money with Ram and Sham.

What is the value of x² + when x - = 4?

If (1/24)^x = (1/3)^a (1/2)^b, find the relation between 'a' and 'b'.

Find the value of (128)³.

If 4x - 6y = 7 and = , what is the value of (5x + 3y)?

If 6 + = , what is the value of x?

If = , what is the value of ?

A shop owner had a certain amount of sugar. He sold of the sugar plus 1 kg to the 1^st party, of the remaining sugar to the 2^nd party and of the remaining sugar plus 1 kg to the third party. At last, he was left with 130 kg of sugar. What was the quantity of sugar that the shop owner had initially?