Pretest #2 - Sections 6.1-7.1
1. a) Find the domain of the function: (5 points)

b) Write in lowest terms: (5 points)

2) Multiply or divide. Write your answers in lowest terms (6 points each)
a)                 b)

3) Add or subtract. Write your answers in lowest terms (6 points each).
a)                                                b)


4) Simplify. Write your answers in lowest terms (6 points each).
a)                                                      b)

5) Solve the equations (6 points each).

a) for                                    b)

c)

6) Do at least two of the following word problems. The best two out of three will count 8 points each. You must show an algebraic solution to receive credit.

a) Sue can mow a lawn by herself in 3 hours and Sharon can mow the same lawn in 4 hours. How long will it take them to mow the lawn if they work together?

b) Train A has a speed of 20 miles per hour greater than that of train B. If train A travels 240 miles in the same time train B travels 200 miles, what are the speeds of the two trains?

c) The difference of the reciprocal and the reciprocal of two more than the number is 1/24. Find the number(s).

7) The simple interest for a certain savings account is jointly proportional to the time and principal. If after 2 years the interest on a principal of $5000 is $275, find the interest on a principal of $2500 after 5 years (10 points).

8) Evaluate (2 points each).
a)                
b)                      c)                     d)

e)       


Answers
1a) x can't equal 4 or -3/2           1b)

2a)                                     2b)

3a)                                          3b)

4a)                                            4b)

5a)                     5b) x = 35

5c) x = 0                                  

6a) 12/7 hours        6b) Train A: 120 mph, Train B: 100 mph        6c) -8 and 6

7. $343.75

8a) | x +1 |    8b) 11/6       8c) not a real number       8d) -10         8e) -5