Which types of problems might appear in the college-level math section of accuplacer?

Find the value of tan theta if sin theta = 12/13 and theta is in quadrant 2

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

What is the value of m in the equation 1/2 m - 3/4n=16 when n=8