Appendix
1. 3y - 2x = 11
y = 9 - 2x
2. y - 3x = 5
y + x = 3
3. x + y = 6
x - y = 2
4. x = 3y
2x + 6y = 12
5. Susan has seven more fish than Tammy. They have 43 fish altogether. How many fish does each have?
6. Bob is three years older than his brother. The sum of their ages is 33. How old is Bob?
7. Two angles are supplementary. The measure of one angle is 30 degrees more than the measure of the other. What is the measure of the larger angle?
8. The length of the rectangular garden is three times the width. If the perimeter is 32m, what are the dimensions of the garden?
9. x + 2y = 0 -x + y = -3 (2, -1)
10. x + 4y = -24 x - 4y = 24
11. 3x + y = 9 -3x + y = 3 (1,6)
12. 2x + y = 4 x + y = 3 (1, 2)
13. Two small pitchers and one large pitcher can hold 8 cups of water. One large pitcher minus one small pitcher constitutes 2 cups of water. How many cups of water can each pitcher hold?
14. The sum of two numbers is 15. The difference of the same two numbers is one. What are the two numbers? ( 7,8 )
15. Twice a number, minus another number is equal to -10. The sum of these two numbers is 1,130. What are the two numbers? (750, 380)
16. Ted just produced a CD. He sells his new CD for $ 5.00. Brett just released a new CD as well. He sells his for $ 6.00 each. How many CD's would they each have to sell each if the difference in sales was $ 30.00 and the total sales were $ 90.00?
17. A total of $ 12,000 is invested in two funds paying 9% and 11%. If the yearly interest is $ 1,180, find out how much money they invested in each fund.
18. Teddy invested $ 5,000, part at 11% annual interest and the rest at 13% interest. If he receives $ 610 interest at the end of on year, how much did he invest at each rate?
19. Stuart invested $ 1,000 in two different funds. One paid 10% interest and the other paid 9% interest. At the end of the first year he made $ 94. How much did Stuart invest at each rate? (400, 600)
20. Margaret invested $ 510 in two stocks. The first stock had a return of 13% and the second had a return of 7%. The resulting interest after one year was $ 59.70. What was the amount of money she invested in each stock?
21. How many ounces of a 6% iodine solution needs to be added to 12 ounces of a 10% iodine solution to create a 7% iodine solution?
22. How many gallons of a 7% acid solution should be mixed with how many gallons of a 15% acid solution to equal 20 gallons of a 12% acid solution?
23. Dr. Hekyl plans to combine a 12% acid solution with a 30% acid solution to make 72 liters of a 20% solution. How many liters of each should be used?
24. How many liters of a solution that is 18% chlorine must be mixed with a solution that is 30% chlorine in order to get 50 liters of a solution that is 27% chlorine?
25. Flying against a head wind, a plane could fly 3000 km in 6 hours. The plane would require only 5 hours for the return trip with no change in wind. Find the wind speed and the air speed of the plane.
26. A boat travels 4 km in 20 min with the current. The return trip takes 24 min. find the speed of the current and the speed of the boat in still water.
27. Walking down a long moving escalator, Phil covered the 75 m distance in 25 sec. Walking back up against the motion of the escalator, the distance was covered in 75 sec. What was the speed of the escalator?
28. Steve flew his experimental plane 56.25 km with the wind in 45 min. The return trip took 75 min with no change in the wind. What was the wind speed?
29. 3x + 5y = 11 6x + 4y = 16 (2,1)
30. 3x + 6 y = -6 5x - 2y = 14 (2, -2)
31. 3x + 4y = -25 2x - 3y = 6 (-3, -4)
32. 7x - 5y = 76 4x + y = 55 (13, 3)
33. A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $ 487. The second order was for 6 bushes and 2 trees, and totaled $ 232. The bill does not list the per-item price. What is the cost of one bush and of one tree?
34. The air-mail rate for letters to Europe is 45 cents per half-ounce and to Africa as 65 cents per ounce. If Shirley paid $ 18.55 to send 35 half-ounce letters abroad, how many did she send to Africa
35. Lucy and Desi are driving across the Mojave Desert when they run out of gas. Desi starts walking east to find a gas station at the same time Lucy walks west to find a phone. After 2 hours they are 4.2 miles apart. Desi walks .4miles per hour faster than Lucy. Find their rates of speed. (d=rt)
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