Math 009 Midterm Exam Fall 2016 Professor: Dr. Steve McKee Instructions: The exam is worth 160 points. There are 41 answers, each worth 4 points unless indicated otherwise. 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. Please remember to show all work on the exam. 1. Evaluate the expressions below for x = -4 and y = -5: a) 5x2 y 2 = 5(-4^2) + (-5^2) (Evaluate the power) 5 x 4^2 + 25 (Evaluate the power of 4^2) 5 x 16 - 5^2 (Multiply the numbers 5 x 16) 80 - 25 -105 b) 5x2 y 2 = 5 (-4^2) - (-5^2) (Evaluate the power (-4^2) - (-5^2) -5 x 16 + 5^2 (Multiply -5 x 16 + 5^2) -80 + 25 (Calculate the sum) -55 2. Last year history was made. Something that had not occurred in 37 years happened. American Pharaoh won the triple crown. The Preakness, one of the horse races in the Triple Crown, is a one and 3/16 mile race. The Belmont is another one of the three races and is 5/16 miles longer than the Preakness. How long is the Belmont? What is the other race that is a part of the Triple Crown? How long is that race? What is the total distance of the three races? (Points total 12) How long is the Belmont? ____________ What is the other race? _______________ How long is that race? ______________________ What is the total distance of the three races? ______________ 3. Recently, I was sick with a very high fever. When I went to the nurse, she took my temperature. It was 39.5 C. What would this be in F? Answer: 4. Your supervisor instructs you to purchase 240 pens and 6 staplers for the nurse's station. Pens are purchased in sets of 6 for $2.35 per pack. Staplers are sold in sets of 2 for 12.95. How much will purchasing these products cost? Answer: 5. Sally has three pieces of material. The first piece is 1 yd. 2 ft. 6 in. long, the second piece is 2 yd. 1 ft. 5 in long, and the third piece is 4 yd. 2ft. 8in long. How much material does Sally have? Answer: 6. Simplify 1 - ( ) + () = Answer: 7. Determine the correct answer: 1/3 + + 5/6 - (7/8 - ) + = Answer: 8. A carpenter has 67 inches of wood trim material. He wants to cut pieces that are 12 and inches long. How many 12 and inch pieces can he cut? _______ How long is the remaining piece? (Keep in mind that a saw blade is 1/8 inches wide.) ___________________ How many 12 and inch pieces can he cut? _______ How long is the remaining piece? ________________ 9. The population of Australia is 23,000,000 people. The population of Bangkok, Thailand is 6/10 the size of Australia. The population of Ohio is 13/16 the population of Bangkok. What is the population of Ohio? Answer: 10. x + 2/3 = 11/12, what is x? Answer: 11. Mary's scores on the first five algebra quizzes are 77, 88, 92, 93, and 71. What score must he earn on the fifth quiz to earn an average quiz score of 86? Please set up and solve this problem following the steps below: (Points 6) a) b) c) d) Define the unknown quantity in terms of one variable. Translate the question into an equation. Solve the equation, showing all work. Write a complete answer to the question asked. Answer: 12. Simplify the following expression: 45 5 32 42 Answer: 13. Simplify each expression. First use the Distributive Property to clear parentheses and then combine like terms. 3a 2 a 9 Answer: 4 2 w 5 3w 9 Answer: 4z 3 z 2 5 Answer: 14. Solve the equation. Show all work and show the complete check of your answer: 5.2 1.3x 1.5 x 0.4 Answer: 15. Solve the equation. Show all work and show the complete check of your answer. 5 1 3x 10 2 6 x 5 3 Answer: 16. Solve the equation using the method discussed in the PA textbook, pages 329-332: clear fractions in the first step by multiplying by the LCD. Show all work and show the complete check of your answer. 3 11 17 x x 2 4 8 Answer: 17. Alyson is creating a vegetable garden in her back yard. She has set aside a rectangular space that is feet wide and feet long. Find the perimeter of the garden. Show all 1 3 6 8 2 4 work and write a complete answer with appropriate units. Answer: 18. 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 Answer: 19. Sweet Dreams Bakery sells apple, cherry, and pumpkin pies. Yesterday, the bakery sold 10 more apple pies than cherry pies, and 12 more cherry pies than pumpkin pies. Each pumpkin pie is cut into 8 slices. Sweet Dreams Bakery sold 10 pumpkin pies yesterday. How many pies did Sweet Dreams Bakery sell in all yesterday? Answer: 20. Bill bought 20 bags of large marbles and 15 bags of small marbles. There were 7 marbles in each bag. Marbles also come in boxes of 13. How many marbles did Danny buy in all? Answer: 20. Which of the following statements is false? A. In the fraction , one is the numerator. B. When 4.89 is rounded to the ones place, the answer is 5. C. Ten thousandths place is located 5 places to the right of the decimal D. 7/6 is described as an improper fraction. E. 33 1/3 % is equivalent to 1/3 Answer: 21. Simplify the following expression: 15 42 11 4 5 Answer: 22. At a state university, 3 25 of the freshmen decide to major in math. If there are 1200 freshman at that university, how many have decided to major in math? Show all work, please, and include units in your answer. Answer: 23. Translate the question below into an equation. Then solve the equation, showing all work. 4.25% of 1200 is what number? Answer: 24. 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? Answer: 25. Robert'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. Answer: 26. Which fraction is bigger than 2/3 A. 2/5 B. 4/7 C. 2/4 D. 3/4 E. 7/12 Answer: 27. Kate has 15 more red pencils than blue pencils, and 5 more blue pencils than purple pencils. She has 15 purple pencils. How many red, blue, and purple pencils does Kate have in all? Answer: 28. A student chose a number, multiplied it by 2, and then subtracted 138 from the result and got102. What was the number he chose? Answer: 29. The heights of the Smith family members are as follows: sister is 5 and 1/3 feet, brother is 5 and feet, mother is 5 and feet, and father is 6 and 1/3 feet tall. What is the total height for the Smith family? Answer: 30. Subtract the following numbers rounded to the nearest tenths place. 134.679 -45.548 -67.8807 Answer: 31. Thomas 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? Answer: 32. Susan'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. Answer: 33. 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. Answer: 34. Solve the equation. Show all work and show the complete check of your answer: 4 x 17 101