8/14 OL1 MATH 107 QUIZ 1 Fall 2017 Instructor: Dr. Izolda Fotiyeva NAME: _______________________________ . INSTRUCTIONS The quiz is worth 100 points. There are 12 problems. This quiz is open book and open notes. This means that you may refer to your textbook, notes, and online classroom materials, but you must work independently and may not consult anyone (and confirm this with your submission). Show work/explanation where indicated. Answers without any work may earn little, if any, credit. You may type or write your work in your copy of the quiz, or if you prefer, create a document containing your work. Scanned work is acceptable also. In your document, be sure to include your name and the assertion of independence of work. General quiz tips and instructions for submitting work are posted in the Unit Quizzes module. 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: 1. (6 pts) Consider the interval [0, ). For each numerical value below, is it in the interval or not? (Just answer Yes or No) 2.5 10 8 _______ 9-2 ________ (Yes or No) | -2.7 | _______ (Yes or No) (Yes or No) -6.7 10 6 -3 3 _______ (Yes or no) _______ (Yes or No) 2. (3 pts) Write the interval notation corresponding to the set notation {x | x 8}. 8/14 OL1 3. (7 pts) Perform the indicated operations and simplify: (8 1 5 1) 1 . Show work. 4. (8 pts) Perform the indicated operations and simplify: Note: 320 24 (5 )3 102 Show work. is a multiplication symbol here, not a variable. 5. (8 pts) Solve the absolute value inequality |2x + 3| 6. Show work. Write interval notation for the solution set. 8/14 OL1 6. (8 pts) Solve the absolute value inequality | 2x - 3 | >5. Show work. Write interval notation for the solution set. 7. (9 pts) Simplify: 72 128+ 48 x 2 Show work. Give the exact answer (including a radical). 8. (10 pts) Factor. (Work not required to be shown). (a) 36x2 - 81 (b) 12x2 + 28x - 5 8/14 OL1 9. (12 pts) Perform the indicated operations and simplify to get a polynomial: (5x - 5)(4x +8) - (2x - 7)2 Show work. 10. (8 pts) Solve the equation x(x 6) = -8. Show work. 11. (8 pts) Solve the equation 7y - 3(2y + 5) = 7 - (10 - 10y). Show work. 8/14 OL1 12. (8 pts) Simplify: 14 1 + x 49 x +7 2 . Show work. 8/14 OL1 1. (6 pts) Consider the interval [0, ). For each numerical value below, is it in the interval or not? (Just answer Yes or No) 2.5 10 8 _______ 9-2 (Yes or No) | -2.7 | _______ (Yes or No) -3 3 ________ (Yes or No) -6.7 10 6 _______ (Yes or no) _______ (Yes or No) 2. (3 pts) Write the interval notation corresponding to the set notation {x | x 8}. 3. (7 pts) Perform the indicated operations and simplify: (8 1 5 1) 1 . Show work. 4. (8 pts) Perform the indicated operations and simplify: Note: is a multiplication symbol here, not a variable. 320 24 (5 )3 102 Show work. 8/14 OL1 5. (8 pts) Solve the absolute value inequality |2x + 3| 6. Show work. Write interval notation for the solution set. 6. (8 pts) Solve the absolute value inequality | 2x - 3 | >5. Show work. Write interval notation for the solution set. 7. (9 pts) Simplify: radical). 72 128+ 48 x 2 Show work. Give the exact answer (including a 8/14 OL1 8. (10 pts) Factor. (Work not required to be shown). (a) 36x2 - 81 (b) 12x2 + 28x - 5 9. (12 pts) Perform the indicated operations and simplify to get a polynomial: (5x - 5)(4x +8) - (2x - 7)2 Show work. 10. (8 pts) Solve the equation x(x 6) = -8. Show work. 8/14 OL1 11. (8 pts) Solve the equation 7y - 3(2y + 5) = 7 - (10 - 10y). Show work. 12. (8 pts) Simplify: 14 1 + x 49 x +7 2 . Show work. 8/14 OL1