YEAR 10 MID TERM EXAM

Which of the following is a quadratic equation?

• x + 5 = 0

• 2x² - 3x + 1 = 0

• x² - 4x = 0

• 5x - 2 = 0

What is the general form of a quadratic equation?

• ax + b = 0

• ax² + bx + c = 0

• ax³ + bx² + c = 0

• ax² + bx = 0

If x² - 5x + 6 = 0, what are the roots?

• 2, 3

• 1, 6

• 3, 5

• -2, -3

The roots of x² - 4x - 5 = 0 are:

• 5, -1

• 4, -5

• 2, 3

• -4, 5

If a quadratic equation has equal roots, what must be true about its discriminant (b² - 4ac)?

• It is greater than zero

• It is equal to zero

• It is less than zero

• It does not affect the roots

Solve x² - 9 = 0.

• x = 9

• x = -9

• x = ±3

• x = 0

If 2x² - 3x - 2 = 0, what is the sum of the roots?

• -3/2

• 3/2

• 3

• -3

The product of the roots of ax² + bx + c = 0 is given by:

• -b/a

• c/a

• -c/a

• b/c

The quadratic formula is given by:

• x = (-b ± √(b²- 4ac))/(2a)

• x = (-b ± √(b²+ 4ac))/(2a)

• x = (b ± √(b²- 4ac))/(2a)

• x = (-b ± √(b² - 2ac))/(2a)

What is the nature of the roots if b² - 4ac < 0?

• Two distinct real roots

• Two equal real roots

• Two complex roots

• No solution