Math 009 Quiz 3 Professor: Dr. Steve McKee Name________________________________ Instructions: The quiz is worth 92 points. There are 23 problems, each worth 4 points. Your score on the quiz will be converted to a percentage and posted in your assignment folder with comments. This quiz allows open book and open notes, and you may take as long as you like on it provided that you submit the quiz 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 quiz, or if you prefer, create a document containing your work. Scanned work is also acceptable. Be sure to include your name in the document. If you have any questions, please contact me by e-mail. At the end of your quiz 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 quiz myself, working independently and not consulting anyone except the instructor. I have neither given nor received help on this quiz. Name: Date: Please remember to show ALL of your work on every problem. Read the basic rules for showing work below BEFORE you start working on the quiz. a) Each step should show the complete expression or equation rather than a piece of it. b) Each new step should follow logically from the previous step, following rules of algebra. c) Each new step should be beneath the previous step. d) The equal sign, =, should only connect equal numbers or expressions. Did you read the rules for showing work on page 1 of the quiz? If not, please go back to page 1 now and read them. If you do not show work correctly, you will not earn full credit. 1. If the value of x and y in the following fraction are both tripled, how does the value of the fraction change? XZ Y A. increases by half B. decreases by half C. triples D. doubles E. remains the same 2. If the average person drinks 8, (8oz) glasses of water per day, a person who drinks 12.8 oz of water after a morning exercise session has consumed what fraction of the daily average? A. 1/3 B. 1/5 C. 1/7 D. 1/9 E. 1/10 3. Of the following fractions, which is less than 2/3? A. 7/8 B. 5/6 C. 3/4 D. 3/5 E. 5/7 4. In which group the fractions are in decreasing order? A) 7/11, 5/8, 3/5, 2/3; B) 4/3, 7/11, 5/8, 3/5; C) 21/11, 2/3, 3/5, 5/8 Answer ____________ 5. The result from (20 + 12)/120 is a fraction equal to: A. 2/5 B. 3/5 C. 4/15 6. You are preparing to bake a mango-nut-berry pie. The recipe calls for the following ingredients: 1 and cups of sugar, 2 and 1/3 cups flour, cup mango, 3/8 cup of berries, 2/3 cup of nuts, and 1/8 cup of water. What is the totals amount of all these ingredients? ______________________ 7. A pentagon shaped building is in your back yard. The measurements of the sides are 5 yards, 4 yards, 6 3/8 yards, 5 yards, and 4 yards long. What is the perimeter of the building in yards? _____________________________ 8. You are planning to wall paper one wall of a room. The dimensions of that wall are 8 and 2/3 ft. by 11 and ft. What is the area of the wall? ____________________ 9. Calculate the answer: + 1/3 + (3/8 x ) - 2/3 + - (3/8 - ) = _________________ Word form is one-half plus one-third plus (three eights time three quarters) minus two-thirds plus three fourths minus (three eights minus onequarter) = 10. Calculate the answer: 1 + + (1/4) - (1/4) = ____________________ 11. What is the average of these four numbers 3 ; 7 3/8; 5 14/16; and 4 1/4? _______________________ 12. Calculate 6 x 5 x 3 = _____________________ Word form is six and a quarter times five and a half times 3 and three quarters. 13. Calculate the answer for what a and b are in the following: 19 a = 187,853 24 b 268,224 a = _______________ and b = _______________ 14. Mike made 16 laps around the exercise track at his fitness club, while Jane made 17 laps around the exercise track at her club. If Mike's track is 1/7 mile long and Jane's track is 1/8 miles long, who walked the farthest and by how much farther in feet rounded to the nearest whole number? _________________________________ 15. Order from least to greatest: 3 and 4/7, 3 and 3/5, 3 and 1/2, 3 and 11/20. A. 3 1/2 , 3 11/20 , 3 4/7 , 3 3/5 B. 3 1/2 , 3 3/5 , 3 11/20 , 3 4/7 C. 3 1/2 , 3 3/5 , 3 4/7 , 3 11/20 D. 3 3/5 , 3 1/2 , 3 11/20 , 3 4/7 16. (3 1/2 + 3/5) x 1/7 = ________________ 17. 5/2 7/2 - 1/5 = _________________ 18. Linda spent 3/4 of her savings on furniture and the rest on a TV. If the TV cost her $200, what were her original savings? $____________________ 19. Add the mixed fractions, as indicated, by using vertical format. Express your answer as a mixed fraction: 2 and 2/3 + 1 or in words two and two thirds plus one and a quarter. Answer ________________ 20. Given u = 1/3, v = 5/2, and w = 2/9, evaluate the expression u vw. Answer ____________________ 21. Calculate the following answer. A trapezoid has bases measuring 2 3/4 (two and three-quarters) and 6 5/8 (six and five eighth) feet, respectively (numbers have a fraction). The height of the trapezoid is 3 feet. Find the area of the trapezoid. Answer ____________________ 22. Solve the equation and simplify your answer: Answer __________________ 8/5 x = 7/9 23. The area of a triangle is 18 square inches. If the length of the base is 4 1/2 inches, find the height (altitude) of the triangle. Answer ______________