1

Solve the quadratic equation by factoring: \$x^2 − 5x + 6\$ = 0.

A) x = 3, 1

B) x = 3, 4

C) x = 2, 4

D) x = 2, 3

2

Solve the quadratic equation using the quadratic formula: \$2x^2+ 3x − 2\$ = 0.

A) \$x = 3 / 2\$ and x = 1

B) \$x = 1 / 2\$ and x = - 2

C) \$x = - 1 / 2\$ and x = 2

D) \$x = - 3 / 2\$ and x = - 2

3

Find the vertex of the quadratic equation: 𝑦 = \$3x^2 − 12x + 7\$.

A) (3, 5)

B) (2, 6)

C) (2, -5)

D) (3, -5)

4

Write the quadratic function in vertex form: y = \$x^2 + 8x + 16\$.

A) (− 4, 0)

B) (4, 1)

C) (− 4, 1)

D) (4, 0)

5

Given points P (1, 2, 3) and Q (4, − 1, 2):

Find the distance between points P and Q.

A) \$\sqrt(20)\$

B) \$\sqrt(19)\$

C) \$\sqrt(21)\$

D) \$\sqrt(18)\$

6

Solve the quadratic inequality: \$x^2 − 3x − 4\$ < 0.

A) (-1 ,4)

B) (-1 ,5)

C) (1 ,4)

D) (1 ,5)

7

Solve the quadratic equation by completing the square: \$x^2 + 4x − 5 = 0\$.

A) x=2 and x=6

B) x=-1 and x=5

C) x=2 and x=5

D) x = 1 and x = − 5

8

Find the angle between A=(3, − 1, 2) and B=(2, 4, − 1), find their scalar product.

A) 45°

B) 60°

C) 90°

D) 0°

9

Solve for x: \$x^2 + 7x + 10 = 0\$.

A) x = 2 and x = 6

B) x = − 2 and x = − 5

C) x = − 2 and x = 5

D) x = 1 and x = 5

10

A ball is thrown upwards with a velocity of 20 m/s from a height of 50 meters. The height h of the ball at any time t is given by the equation: \$h = − 5t^2 + 20t + 50\$ When will the ball hit the ground?

A) 4.03 seconds

B) 4.79 seconds

C) 5.12 seconds

D) 5.74 seconds