MATHEMATICS 9 DIAGNOSTIC TEST

What is the solution to the quadratic equation: x² - 9 = 0?

• 3

• -3

• +-3

• 9

The discriminant of the quadratic equation ax² + bx + c = 0 is given by:

• b² - 4ac

• b² + 4ac

• –b² - 4ac

• 2ab – c²

If the discriminant of a quadratic equation is zero, the equation has:

• No solutions

• One real solution

• Two real solutions

• Two complex solutions

What is the solution to the quadratic inequality: x² - 6x + 8 < 0?

• x < 2

• x > 2

• 1 < x < 5

• x > 3

Which of the following is the solution set of the quadratic inequality x² + 3x - 10 ≥0?

• A

• B

• C

• D

What is the quadratic formula used to find the solutions of the equation ax² + bx + c = 0?

• A

• B

• C

• D

What is the nature of the roots of a quadratic equation when the discriminant is positive?

• Two distinct real roots

• One real root

• Two complex roots

• No real roots

The quadratic equation x² - 5x + 6 = 0can be factored as:

• (x - 2)(x - 3) = 0

• (x + 2)(x - 3) = 0

• (x - 2)(x + 3) = 0

• (x + 2)(x + 3) = 0

What is the value of a in the quadratic equation x² - 6x + a = 0 to make it a perfect square trinomial?

• 4

• 6

• 9

• 3

If y varies directly with x, and y = 15 when x = 5, what is the value of y when x = 9?

• 27

• 45

• 10

• 17