Advanced Mathematics Challenge

Simplify the expression: 3x + 5 - 2x + 7.

• x + 12

• 2x + 10

• x + 5

• 3x + 12

Solve the quadratic equation: x^2 - 5x + 6 = 0.

• x = 1, x = 6

• x = 0, x = 5

• x = -2, x = -3

• x = 2, x = 3

What is the vertex of the parabola represented by the function f(x) = 2x^2 - 4x + 1?

• (1, 0)

• (0, 1)

• (1, -1)

• (2, 3)

Calculate the limit: lim (x -> 2) (x^2 - 4)/(x - 2).

• 2

• 4

• 0

• 8

Find the derivative of the function f(x) = 3x^3 - 5x + 2.

• 9x^2 - 5

• 6x^2 - 5

• 9x^2 + 2

• 3x^2 - 5

If f(x) = x^2 + 3, what is f(4)?

• 25

• 19

• 20

• 16

Determine the range of the function f(x) = -x^2 + 4.

• [0, 4]

• (-∞, 4]

• (-∞, 0]

• (4, ∞)

Use the quadratic formula to solve: 2x^2 + 3x - 5 = 0.

• x = 2, x = -1.5

• x = 1.5, x = -1

• x = 0, x = -3

• x = 1, x = -2.5

What is the slope of the line represented by the function y = 2x + 3?

• 3

• 2

• -2

• 1

Calculate the mean of the following data set: 2, 4, 6, 8, 10.

• 4

• 10

• 8

• 6