JEE Mathematics - Algebra Basics

Q1: What is the solution to the equation 3x - 5 = 10?

x = 3 x = 5 x = 7 x = 15

Q2: Factor the expression x^2 - 5x + 6.

(x - 2)(x - 3) (x + 2)(x + 3) (x - 1)(x - 6) (x + 1)(x + 6)

Q3: What is the value of x in the quadratic equation x^2 - 4x - 5 = 0?

x = 5, -1 x = 1, -5 x = -5, 1 x = -1, 5

Q4: Solve for x in the equation 4x + 2 = 18.

x = 4 x = 3 x = 5 x = 8

Q5: What is the sum of the roots of the quadratic equation x^2 - 7x + 10 = 0?

7 -7 10 -10

Q6: What is the value of x in the equation 2x^2 - 3x = 0?

x = 0, 3/2 x = 0, -3/2 x = 0, 2/3 x = 0, -2/3

Q7: Which of the following is the factorization of x^2 - 9?

(x - 3)(x + 3) (x + 3)(x + 3) (x - 9)(x + 9) (x - 9)(x - 9)

Q8: Which of the following is a solution to the equation 3x + 4 = 10?

x = 2 x = 1 x = 3 x = 6