#### Sample Second Midterm

1. Suppose you
get a job selling T-shirts at a concert. You get $2 for each T-shirt
you sell, but it costs you $5 to get into the concert. How many
T-shirts will you have to sell in order to come home with $25?

In 2 - 7, solve for x and check.

2.

3. Solve for *x* and check. 2*x*^{2} - *x* - 10 = 0.

In problem 3, solve by factoring, completing the square, and the quadratic formula.

4.

5.

6.

8. Linda goes to visit
a friend who lives in Lompoc. It is 390 miles from Linda's house to
her friend's house. When she came back, it took her a half an hour
less time and her average speed was 5 miles per hour faster. How fast
was she going when she went down to Lompoc, and how fast was she
going when she drove back?

9. Linda drives from
Ukiah to the East Bay. She averages 60mi/hr on the freeway, but when
she gets to the East Bay, the freeway is clogged with rush hour
traffic. Fortunately, she knows the East Bay, and knows how to get to
her destination on surface streets. Unfortunately, she can only
average 30mi/hr on the surface streets. The trip was 150 miles long
and it took her 3 hours. How long was she on the freeway and how long
was she on the surface streets. How far did she drive on the freeway
and how far did she drive on the surface streets?

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