*Please remember to show all of your work.*

1) Find the domain of the function and write it in set notation:

2) Perform the indicated operations and simplify your answer:

3) Perform the indicated operation and simplify your answer:

4) Perform the indicated operation and simplify your answer:

5) Perform the indicated operation and simplify your answer:

6) Solve the equation and show the check of your solution(s). Use the method discussed in Section 6.5 of our text, clearing fractions from the equation first.

7) Solve the equation and show the check of your solution(s). Use the method discussed in Section 6.5 of our text, clearing fractions from the equation first.

8) When Jack and Annie work together painting one room, they can complete the work in 6 hours. When Annie works alone, it takes her 9 hours to paint the same room. How long would it take Jack to paint the room alone?

9) A car travels 224 miles in the same time that a bus travels 175 miles. If the car’s speed is 14 miles per hour faster than the bus’s speed, find the speed of the car and the speed of the bus.

10) The weight of an object on or above the surface of Earth varies inversely as the square of the distance between the object and Earth’s center. If a person weighs 143 pounds on Earth’s surface, find the person’s weight 900 miles above the surface of the Earth. Assume that the radius of the Earth is 4000 miles. Round your answer to the nearest whole pound.

65

5

3

x

x

–

–

+

52

44

x

xx

+

+

—

2453

346134

xx

xxx

+

=-

—

2

2

45

32

6

xx

xx

xx

–

-=

+-

+-

(

)

2

27

248

x

fx

xx

+

=

—

2

23

71236

31814

xxx

xxx

-+

×

—

22

22

102131914

5560274

xxxx

xxxx

+++-

¸

—-

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