Mathematics 06/11/24

Simplify the expression: (x + 2)^2 - (x - 2)^2.

• 4x

• 4

• 4x + 8

• 4x - 8

Solve for x: 3x^2 - 12 = 0.

• ±2

• ±4

• 3

• 2

If a + b = 6 and ab = 8, find the value of a^2 + b^2.

• 28

• 36

• 12

• 20

Simplify (6x^2 - 5x - 4) / (3x + 2).

• 2x - 3

• 2x - 2

• 2x - 1

• 2x + 3

If x^2 - 5x + k = 0 has roots that are equal, find the value of k.

• 25/4

• 10

• 15

• 5/2

Solve for x in the equation 2x^2 + 7x - 15 = 0.

• -5, 1.5

• -3, 2.5

• 3, -5

• -1.5, 5

If x^2 + bx + 8 = 0 has roots -4 and 2, what is the value of b?

• -2

• 2

• 6

• -6

Simplify (2x - 3)^2 - (x + 4)(x - 4).

• x^2 - 7x + 9

• 3x^2 - 4x + 16

• x^2 - 4x + 5

• 3x^2 - 4x + 7

Find the midpoint of the line segment joining (3, -2) and (7, 4).

• (2, 3)

• (5, 1)

• (3, 3)

• (4, 1)

Find the distance between the points (1, -3) and (4, 1).

• 5

• 7

• 25

• 9