Algebra Practice Questions & Answers

If the difference between the roots of the equation Ax2 - Bx + C = 0 is 4, then which of the following is TRUE?

If the difference between the roots of the equation Ax² - Bx + C = 0 is 4, then which of the following is TRUE?
1). B² - 16A² = 4AC + 4B²
2). B² - 10A² = 4AC + 6A²
3). B² - 8A² = 4AC + 10A²
4). B² - 16A² = 4AC + 8B²

If \(\left( {2x - \frac{3}{x}} \right) = 5\), what is the value of \(4{x^2} - \frac{9}{{{x^2}}}\) ?

If \(\left( {2x - \frac{3}{x}} \right) = 5\), what is the value of \(4{x^2} - \frac{9}{{{x^2}}}\) ?

A is as much younger than B as he is older than C. If the sum of the ages of B and C is 40 years, what is definitely the difference between B and A’s age?

A is as much younger than B as he is older than C. If the sum of the ages of B and C is 40 years, what is definitely the difference between B and A’s age?

In the following question two equations are given. You have to solve these equations and determine relation between x and y. I.√841 x + 522 = 1305 II.√1156 y + 272 = 1428

In the following question two equations are given. You have to solve these equations and determine relation between x and y.

I.√841 x + 522 = 1305

On Children Day 2400 sweets were to be equally distributed among a certain number of children. But on that particular day, 100 children remained absent. Thus, each child got 2 sweets extra. How many children were originally supposed to be there?

On Children Day 2400 sweets were to be equally distributed among a certain number of children. But on that particular day, 100 children remained absent. Thus, each child got 2 sweets extra. How many children were originally supposed to be there?

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