MPT Standards 3

Question 1

Simplify: (3x²y)(4xy³)

Accepted Answer

12x³y⁴

Answer

Multiply coefficients: 3·4=12; add exponents: x²·x=x³, y·y³=y⁴.

Question 2

What are the solutions to x² + 5x + 6 = 0?

Accepted Answer

x = -2 and x = -3

Answer

Factor: (x+2)(x+3) = 0, so x = -2 or x = -3.

Question 3

Which expression represents the area of a circle with radius r+1?

Accepted Answer

π(r+1)²

Answer

Area = πR² where R = r+1, so Area = π(r+1)².

Question 4

Convert 135° to radians.

Accepted Answer

3π/4

Answer

135 × (π/180) = 135π/180 = 3π/4.

Question 5

Which of the following is equivalent to sin²θ + cos²θ?

Accepted Answer

1

Answer

The Pythagorean identity states sin²θ + cos²θ = 1 for all θ.

(MPT) UCF Math Placement Test Practice Test