**INSTRUCTIONS **

· This exam is worth 100 points.

· This exam is ** open book** and

· **Show sufficient work, including all essential steps, or explanation to receive full credit****. Adequacy of the work shown will be determined solely by me and answers without any work may earn little or no credit. **

· You may type (using Equation Editor) or write your work in your copy of the exam and scanned work is acceptable to enable you to submit handwritten work into your Assignments Folder **but only in a .pdf or .jpg format that I can read**. **Be sure to include your name on the document.**

· If you require any clarification, please contact me by e-mail: (pkudva@faculty.umuc.edu).

1) (5 points)

A boat travels 3 miles upstream in the **same time** it takes to travel 4 miles downstream. If the speed of the boat in still water is 7 mph, find the speed of the current.

2) (10 points)

Find the domain of the rational function f(x) =

3) (10 points)

Divide and simplify: ÷

4) (10 points)

Solve: = -x and verify if your solutions satisfy this equation.

5) (10 points)

Express in the simplest radical form:

6) (10 points)

Rationalize the denominator:

7) (10 points)

Simplify and express with positive exponents only:

8) (10 points)

Erin notices that her monthly electric bill is inversely proportional to the thermostat setting of her air conditioner. When she sets her thermostat to 70°, her monthly electric bill is $120. What will her electric bill be if she sets her thermostat to 75°?

9) (10 points)

Solve the equation x^{2} – 6x = 3 **by completing the square**.

Express the solution in the simplest radical form.

10) (15 points)

A father and a son clean their house together in 3 hours. When the son works alone, it takes him an hour longer to clean than it takes his dad alone. Find how long it takes the son to clean alone (round to the nearest tenth of an hour).

Subject | Mathematics |

Due By (Pacific Time) | 05/02/2015 08:00 pm |

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