MATH 107 QUIZ March 26, 2017, Instructor: E.Avram NAME: _______________________________ I have completed this assignment myself, working independently and not consulting anyone except the instructor. INSTRUCTIONS The quiz is worth 100 points. There are 10 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). You may take as much time as you wish, provided you turn in your quiz no later than Sunday, March 26. Show work/explanation. 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 Quizzes module. If you have any questions, please contact me by e-mail. 1.Rationalize the numerator or denominator, and simplify: a. 2 x+ 2h+1 2 x +1 h Answers: a) ; b) 2 2 x+ 2h+1+ 2 x+ 1 3 x +h3 x h 1 b) 2 x 3 +h +3 x+ h 3 x +3 x2 2. Solve each equation for the indicated variable. Assume all quantities represent positive real numbers. a. Solve for g : T Answers : a. g= 2 L g L=L0 1 b. Solve for v : 4 2 L T2 b. v = v2 2 c c L20L2 L0 3. Perform the indicated operations: a. 2 224 ( 3 ) (1) 2(3) b. 1+23 341 Answers : a. -1 b. 9/22 4. Solve the given inequality. Write your answer using interval notation. a. 2t- 1 < 3 - (4t- 3) b. 2x + 1 7 Answers : a.( , 6 -1 or 2x + 1 1 b. (- ,1 5. Solve the equations : a. |3t- 2| = |2t + 7| b. |3x + 1| = |4x| Answers : a. t = 1 or t = 9 b. x = - 1 7 or x = 1 6. Solve the given inequality. Write your answer using interval notation. a. x 12 - 3 > 3 x + 7 Answers : a. (4, b. [0, } 4 b. 117 y y 2 7y 8 7. Write the set using interval notation. a. {x | x > 2 or x = 1} Answers : a. {-1} b. {x | 3 < x < 3 or x = 4} {1} b. (3, 3) {4} (2, ) 8. Find all real solutions 4 a .(5 x+3) = 16 b. 4 x +1 + 2 12 x = 1 Answers : a. x = - 1/ 5 or x = -1 b. x = 5/ 18 ; x = 1/ 2 9. Perform the indicated operations and simplify ; a. w216 w+64 b. 3 24 r 5 3 L Answers : 3 a. |w- 8| b 2 r 3 r2 L 10. a. Rationalize the denominator: b. Rationalize the numerator: Answers : a. 5 324 x 3 2x 3 24 x 2 5 9+ h3 h 1 b. 9+ h+3