Lost Algebra, Missing Calculus

Apparently I rented out the space in my brain where I once housed the Algebra I learned in high school, because when I went to take the math placement exam at Montclair I discovered that I had no clue how to answer some of the problems. The word problems were easy. You know, the ones that go something like "if a pound of roast beef costs $4.99 and a pound of ham costs $3.79, how much will Jimmy need to pay to get 3/4 lb of roast beef and 1 1/2 lbs of ham?" Others were far, far more difficult. It got harder when the Calculus part of the exam came around. I can't even remember ever having taken Calculus, so how am I supposed to know any of the answers? And we weren't even allowed to use calculators! Just the questions were baffling to me:

Assume Ted's velocity (in feet per second) is given by the equation where t is measured in seconds and Answer the following questions based on the given information, accurate to the thousandths place.

(a) Is Ted traveling backwards at any time during the first 7 seconds? If so, during what time interval(s) is the gear shift in reverse?

(b) What is Ted's average velocity from t = 2 to t = 5?

(c) At what time(s) does Ted change from accelerating to decelerating, or vice versa?

Call me if you know the answer to the above question, because sometime in the next few semesters I'm going to need your help.

Oh, and the final jab of the day? The girl I sat next to at the exam says to me "This is going to be hard. I didn't take any math in my senior year, and it's been a whole year since I even looked at a textbook." I told her that I hadn't been in a math class in more than 19 years, and all she could say, after a three-second delay, was "Wow. Good luck."