1) Solve the equation below. Show all work following the methods discussed in class. If the equation has a unique solution, please show the complete check of your answer.

7(4x + 5) = -5 + 8(8x - 4)

2) Solve the equation below. Show all work following the methods discussed in class. If the equation has a unique solution, please show the complete check of your answer.

48 - 5(1-n) = 3(4 - 2n) -2

3) Solve the equation below. Show all work following the methods discussed in class. If the equation has a unique solution, please show the complete check of your answer.

5(y +4) -2(1 - 3y) = 11y -7

4) Solve the equation below. Show all work following the methods discussed in class. If the equation has a unique solution, please show the complete check of your answer.

5/4x - 9/5 = 1/8x

5) Solve the equation below. Show all work following the methods discussed in class. If the equation has a unique solution, please show the complete check of your answer.

17/5m + 1/3 = 2/5m + 29/6

General instructions for #6 - #10:

Please include the following in your work on each word problem:

a) A statement defining any unknown quantities in the problem in terms of variables.

b) An equation involving the variable(s) corresponding to the information given in the problem.

c) A complete solution to the equation, showing all work.

d) A complete answer to the question asked, including appropriate units.

6) The number of kilograms of water in a person's body varies directly as the person's mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person with a mass of 50 kg?

7) The stopping distance, d, of a particular car after the brakes are applied varies directly as the square of the rate, r. If the car is travelling 40 mph, it can stop in 80 feet. How many feet will it take the same car to stop when it is travelling 80 mph?

8) If there are 435 Members of Congress and 57 more Republicans than Democrats, how many of each party are there, assuming that there are no Independents?

9) Janet set off on a bicycle trip at 6:30 am at an average rate of 24 miles per hour. Her husband, Bob, promised to bring her some lunch, and he set off by car 2 hours after Janet left, driving at an average speed of 40 miles per hour. At what time did Bob catch up with Janet?

10) Becky would like to have at least $250,000 saved for her daughter's college education. If she invests $80,000 in an education account paying 7.15% interest compounded quarterly, will she reach her goal in 18 years? Show all work to justify your answer and include appropriate units.