1. For all positive integers a, b, and c, which of the following expressions is equivalent to ?
2. What is the product of the complex numbers (-2i + 5) and (2i + 5)?
3. Which of the following is a solution to the equation x2 + 25x = 0?
4. For the right triangle ÎABC shown below, what is tan B?
5. A chord 8 inches long is 3 inches from the center of a circle, as shown below. What is the radius of the circle, to the nearest tenth of an inch?
6. The length L, in meters, of a spring is given by the equation , where F is the applied force in newtons. Approximately what force, in newtons, must be applied for the spring's length to be 0.23 meters?
7. After a snowstorm, city workers removed an estimated 12,000 cubic meters of snow from the downtown area. If this snow were spread in an even layer over an empty lot with dimensions 62 meters by 85 meters, about how many meters deep would the layer of snow be?
8. The hypotenuse of the right triangle LMN shown below is 22 feet long. The cosine of angle L is . How many feet long is the segment LM?
9. The table below shows the number of pounds of apples grown last year in 4 cities. (Each whole apple on the graph represents 1,000 pounds of apples.) According to the graph, what fraction of the apples grown in all 4 cities was grown in Appleton?
10. Points B and C lie on segment AD as shown below. The length of segment AD is 25 units; the segment AC is 19 units long; and the segment BD is 14 units long. How many units long, if it can be determined, is the segment BC?