Advanced Math Challenge

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

• x + 12

• 3x + 12

• x + 5

• 2x + 10

If f(x) = 2x^2 + 3x - 5, what is f(2)?

• 5

• 11

• 9

• 7

Solve for x: 4(x - 1) = 2(x + 5).

• 5

• 7

• 10

• 3

What is the vertex of the parabola defined by y = x^2 - 4x + 3?

• (2, -1)

• (1, 2)

• (0, 3)

• (3, 0)

If g(x) = 3x - 4, what is g(5)?

• 7

• 9

• 11

• 15

Prove the identity: sin^2(x) + cos^2(x) = 1.

• sin^2(x) + cos^2(x) = 2

• sin^2(x) + cos^2(x) = sin(x)

• sin^2(x) + cos^2(x) = 1

• sin^2(x) + cos^2(x) = 0

Find the value of sin(30°).

• 1/2

• 0

• 3/4

• 1/4

If P(A) = 0.3 and P(B) = 0.5, what is P(A and B) if A and B are independent?

• 0.15

• 0.25

• 0.1

• 0.8

What is the mean of the following set of numbers: 2, 4, 6, 8, 10?

• 10

• 4

• 8

• 6

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

• 6x^2 - 5

• 9x^2 + 2

• 3x^2 - 5

• 9x^2 - 5