Math 009 Midterm Exam 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. 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: 21 4 3 7 8 25 Math 009 Midterm Exam 2) Evaluate the following expression if Page 2 4 x 5 and 3 y 8 . Write your answer in simplest form. 24xy 2 3) Simplify the following expression: 7 3x 1 12 2 x 5 4) Solve the equation. Show all work and show the complete check of your answer: 4 x 17 101 Math 009 Midterm Exam Page 3 5) Solve the equation. Show all work and show the complete check of your answer: 5x 12 23 6) Solve the equation. Show all work and show the complete check of your answer: 8 6 y 7 4 y 5 7) Solve the equation. Show all work and show the complete check of your answer: 5.2 1.3x 1.5x 0.4 Math 009 Midterm Exam Page 4 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: 5a 1 1 7a 6 12 3 8 9) Translate the question below into an equation. Then solve the equation, showing all work. 4.25% of 1200 is what number? 10) Translate the question below into an equation. Then solve the equation, showing all work. What percent of 1600 is 20? Math 009 Midterm Exam Page 5 11) In a sample of 1500 new iPhones, 12 were found to be defective. At this rate, how many defective iPhones would be expected in a sample of 100,000 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 9.35% and he pays off the loan in 6 years, how much interest does he pay? 13) Alexis paid $20,700 as a down payment for her new home. If the down payment was 11.5% 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. Math 009 Midterm Exam Page 6 14) Andrew's annual salary is $72,400. He has been promised a 3.7% merit raise in the year ahead. Find the amount of the raise and the new salary. Show all work. 15) Laura inherits $35,000 and decides to invest part of it in an education account for her daughter and the rest in a 10-year CD. If the amount she puts in the education account is $11,000 more than twice the amount she puts in the CD, how much money does Laura invest in each account? Start by defining the unknown quantities in terms of a variable; then write an equation based on the information given and show all work as you solve the equation. 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