MDTP Pre-Calculus 2

Question 1

Which expression equals log(AB)?

Accepted Answer

log A + log B

Answer

The product rule of logarithms states log(AB) = log A + log B.

Question 2

If sin(θ) = 3/5 and θ is in the first quadrant, what is cos(θ)?

Accepted Answer

4/5

Answer

Using the Pythagorean identity: cos(θ) = √(1 - sin²θ) = √(1 - 9/25) = √(16/25) = 4/5.

Question 3

Solve: e^x = 7 (round to nearest hundredth)

Accepted Answer

x ≈ 1.95

Answer

Taking the natural log of both sides: x = ln(7) ≈ 1.946.

Question 4

The graph of y = f(x - 2) is a shift of y = f(x) in which direction?

Accepted Answer

2 units right

Answer

Replacing x with x - 2 shifts the graph 2 units to the right.

Question 5

What is the value of tan(45°)?

Accepted Answer

1

Answer

tan(45°) = sin(45°)/cos(45°) = (√2/2)/(√2/2) = 1.

MDTP - Mathematics Diagnostic Testing Project Practice Test