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Math 009

Midterm Exam Page 5

 

 

Math 009 Midterm Exam

Professor: Dr. Kate Bauer

 

 

Name________________________________

 

 

Instructions:

 

· The exam is worth 75 points. There are 15 problems, each worth 5 points. Your score on the exam will be converted to a percentage and posted in your assignment folder with comments.

· This exam allows open book and open notes, and you may take as long as you like on it provided that you submit the exam no later than the due date posted in our course schedule of the syllabus. You may refer to your textbook, notes, and online classroom materials, but you may not consult anyone.

· You should show all of your work to receive full credit. If you do not show work, you may earn only partial or no credit.

· Please type your work in your copy of the exam, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. Review instructions for submitting your exam in the Exams Module.

· If you have any questions, please contact me by e-mail (kate.bauer@umuc.edu).

 

 

At the end of your exam you must include the following dated statement with your name typed in lieu of a signature.  Without this signed statement you will receive a zero.

 

I have completed this exam myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this exam.

 

Name:                                                           Date:

 

 

 

 

 

 

 

 

 

 

 

Please remember to show all work on the exam.

 

 

 

1) Simplify the following expression:

 

 

 

 

 

 

 

 

2) Evaluate the following expression if and : 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

3) Simplify the following expression:

 

 

 

 

 

 

 

 

 

 

 

 

4) Solve the equation. Show all work and show the complete check of your answer:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

5) Solve the equation. Show all work and show the complete check of your answer:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

6) Solve the equation. Show all work and show the complete check of your answer:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

7) Solve the equation. Show all work and show the complete check of your answer:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

8) Solve the equation. Show all work and show the complete check of your answer. Start by multiplying both sides of the equation by the least common denominator to clear all fractions:

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

9) Translate the question below into an equation. Then solve the equation, showing all work.

 

6.3% of 7800 is what number?

 

 

 

 

 

 

 

 

 

 

10) Translate the question below into an equation. Then solve the equation, showing all work.

 

What percent of 280 is 49?

 

 

 

 

 

 

 

 

 

 

 

11) In a sample of 240 new iPhones, 7 were found to be defective. At this rate, how many defective iPhones would be expected in a sample of 4800 new iPhones? Use a proportion to set up and solve this problem.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

12) Mark borrows $22,000 to buy a new car. If the simple interest rate on the car loan is 9.45% and he pays off the loan in 7 years, how much interest does he pay?

 

 

 

 

 

 

 

 

 

 

 

 

 

13) Alexis paid $35,400 as a down payment for her new home. If the down payment was 12% of the total price of the house, what was the total price of the house? Start by defining the unknown in terms of a variable; then write an equation based on the information given and show all work as you solve the equation.

 

 

 

 

 

 

 

 

 

 

14) Jackson’s annual salary is $52,400. He has been promised a 3.6% merit raise in the year ahead. Find the amount of the raise and the new salary. Show all work.

 

 

 

 

 

 

 

 

 

 

 

15) Fifteen UMUC students are chosen at random to participate in a survey. The first question on the survey asks how old each participant is. The fifteen responses are:

31, 25, 18, 54, 47, 23, 61, 54, 72, 41, 38, 33, 52, 81, and 19

 

Find the mean age of the students surveyed. Show all work.

 

 

 

 

 

 

 

 

Find the median of the ages. Explain how you found your answer.

 

 

 

 

 

 

 

 

Find the mode of the ages. Explain how you found your answer.

 

 

 

 

 

 

 

End of exam: please do not forget to write and sign (or type) the required statement explained in the box on Page 1 of the exam.

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