Math 12—Precalculus—Test on §1.1--§1.6—Fall ‘2002
Write all responses on separate paper.  Show your work for credit.

 

1)      Draw and label sides for a right triangle whose hypotenuse has length  and whose legs have integer lengths.

2)      Simplify the expression .

3)      Expand the product and collect like terms:

4)      Factor completely: .

5)      Simplify the expression .

6)      Solve   

7)      Solve

8)      Suppose a rectangular parcel of land has a length 80 ft longer than its width. Also, a diagonal of the recatangle is 120 ft longer than the length.  Find the width and length of the rectangle.

9)      Solve the inequality

10)   Find a function which describes the lower half the circle whose graph is shown: