Math help

Math 009

Midterm Exam Page 2

Math 009 Midterm Exam

Fall, 2018

Professor: Aaron Provoteaux

Name________________________________

Instructions:

· The exam is worth 100 points. There are 20 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 ([email protected]).

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:

a)

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b)

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2) Evaluate the following expression if and . Write your answer in simplest form.

a)

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b)

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c)

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d)

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e)

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3) Simplify the following expression:

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

a)

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b)

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5) Lisa buys a television for $4185. If the Sales Tax is $292.95. What percent is Sales Tax?

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6) Kevin earns $32.25 an hour. He received a raise of $2.10. What percent was his raise? Round your answer to the nearest tenth.

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7) Last summer 526,182 people visited the Aquarium. If the number of tourists increased this summer by 12.5%. How many people visited the Aquarium this summer?

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8) Solve the equation. Round your answer to the nearest hundredth. Show all work.

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9) The difference of four consecutive even numbers is -92. What are the numbers?

a) Define the unknown quantity in terms of one variable.

b) Translate the question into an equation.

c) Solve the equation, showing all work.

d) Write a complete answer to the question asked.

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10) Frank has a cell phone. If the company charges a monthly rate of $45.10 and he talks for 225 minutes. His bill at the end of the month is $213.85. What does the company charge per minute?

a) Define the unknown quantity in terms of one variable.

b) Translate the question into an equation.

c) Solve the equation, showing all work.

d) Write a complete answer to the question asked.

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11) You have $82 in savings and your brother has $28 in savings. If you saving $6 a week and your brother savings $15 a week. How long will it be before both of you have the same amount of money in savings?

a) Define the unknown quantity in terms of one variable.

b) Translate the question into an equation.

c) Solve the equation, showing all work.

d) Write a complete answer to the question asked.

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12) Susan is starting a business in Baltimore. She borrows $230,540 from the bank at a rate of 12% for 15 years. Find the interest he will pay on the loan.

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13) Amber was planting a tree. She was to dig a hole that was 1.25 feet deep for every 3 feet of tree height. How deep she should dig the hole if the tree is 17 feet high. Round your answer to the nearest tenth.

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14) Mary’s annual salary is $109,250. He has been promised a 3.4% merit raise in the year ahead. Find her new salary. Round your answer to the nearest hundredth. Show all work.

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15) Alex paid $51,928.13 as a down payment for her new home. If the down payment was 14.5% of the total price of the house, what was the total price of the house? Round your answer to the nearest hundredth.

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16) In a sample of 1285 new iPhones, 21 were found to be defective. At this rate, how many defective iPhones would be expected in a sample of 45,300 new iPhones? Use a proportion to set up and solve this problem. Round your answer to the nearest whole number.

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17) Kim was hired to paint a house. It took 35 hours to paint and she was paid $840. At this rate how, much would she be paid for a job requiring 90 hours of work. Round your answer to the nearest hundredth.

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18) If 4 pounds of meat serves 9 people, how many pounds will be needed to serve 30 people? Round your answer to the nearest hundredth.

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19) How much interest will you earn if you invest $1225 at a rate of 6% a year for 33 months?

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20) How much money did Jonah invest if he received $315 in interest after 51 months? The interest rate was 7% a year. Round your answer to the nearest hundredth.

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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.