2000 Washington State Math Championship

Unless a particular problem directs otherwise, give an exact answer or one rounded to the nearest thousandth.

Algebra - Grade 8


1. The length of horse races are often measured in furlongs. A furlong is one-eighth of a mile. There are two weeks between each of the Triple Crown horse races each spring. Two weeks is sometimes called a fortnight. The speed of light is 186,282 miles per second. What is the speed of light in furlongs per fortnight?

2. For its phone cards Telecom charges $1.47 to set up an account and $0.08 per minute. Willtel charges a set-up fee of $2.70 and $0.05 per minute. After how many minutes is the overall charge for the phone card less with Willtel?

3. A one-liter container of soda costs $0.79, and a two-liter container costs $1.39. If the cost is a linear function of volume, what should a 4 liter container cost?

4. If , then what does x equal?

5. It takes Willie Makit 5 hours to paint the room if he works by himself. It takes him an hour longer if his girlfriend, Ann Ticing, is watching him (and he is watching her). It takes Willie’s brother Don 5 hours to paint the room, but Ann has no effect on his painting time. Working together, how long does it take the brothers to paint the room if Ann is watching? Answer to the nearest tenth of an hour.

6. Line A is parallel to the graph of and goes through the point (3,17). What is the y-intercept of line A?

7. The perimeter of a rectangle is 706, and its area is 30,030. How long is its longer side?

8. The population of Alaska was 401,851 in 1980 and 550,043 in 1990. The population of Montana was 786,690 in 1980 and 799,065 in 1990. If each state grows at a linear rate, in which year will (or did) the population of Alaska exceed that of Montana?

9. A. Justin Nobbs operates the body scanner at Custer Medical Center. The tracer chemical that he monitors loses 10% of its activity every minute. His machine can no longer detect the tracer when it goes below 10% of its original value of 100. After how many minutes (to the nearest whole minute) is the tracer no longer detectable?

10. Given that

What is the value of ?