Herbert J. Bernstein Professor of Computer Science
Dept. of Mathematics and Computer Science, 150 Idle Hour Blvd., KSC 121, Oakdale, NY 11769-1999

20382 MTH 1007 Operations Research -- Spring 2009
Tuesday 5:30 pm -- 8:11 pm BROOK1 B208
Diagnostic Quiz

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This is an evaluation quiz for one section of MTH 1007A for Spring 2009. This quiz will be evaluated but will not count towards your grade in the course. Please make the best effort you can to answer each question. Your answers will help your instructor to adjust the pace and content of the course appropriately. Answer all questions on the examination paper.

  1. Perform the indicated arithmetic operations. Give the answer as an integer or as a fraction with the smallest possible denominator. Do not give your answer as a decimal fraction.

    1. 4832198 + 6897875 = _________

    2. 358 - 427 = _________

    3. 468 * 827 = _________

    4. 865 / 35 = _________

    5. (43/87) + (29/137) = _________

    6. (11/12) - (23/24) = _________

    7. (19/21) * (7/8) = _________

    8. (11/13) / (18/19) = _________

  2. Assume the symbol "*" stands for set intersection, the symbol "+" stands for set union, and the symbol "-" stands for set complement. Give the resulting set for the following operations. Assume all sets are drawn from the universe of non-negative integers.

    1. { 1, 3, 5, 7 } * { 2, 4, 6, 8 }

    2. { 1, 3, 5, 7 } + { 2, 4, 6, 8 }

    3. { 1, 3, 5, 7 } * ( - {2, 4, 6, 8 } )

  3. Solve the following equations for x. Use decimal fractions to no more than 6 places.

    1. x + 26 = 5
      x = __________

    2. -5*x = 26
      x = __________

    3. 298*x + 497 = 1024
      x = __________

    4. 5*x + 3 = 7x + 5
      x = __________

    5. 7/x + 5 = 1
      x = __________

  4. Perform the indicated operations on polynomials and restate in simplest terms.

    1. ( x + 1 )*( x - 1 ) = _______________________

    2. 3*( x + 1)2 - 2*( x + 1) +1 = _______________________

    3. ( x2 + 17*x + 60 )/( x - 5 ) = ________________________

    4. x5 * x-7 * x3 = _____________________

    5. ( 3*x + y )*( 3*x - y ) = ________________________

    6. ( 36*x2 -18*x +9 )/( 7*x - 3 ) + 5 = ________________________

  5. Solve the following quadratic equations for x.

    1. x2 - 1 = 0
      x = __________

    2. x2 + 2*x + 1 = 0
      x = __________

    3. 7*x2 + 25*x -12 = 0
      x = __________

  6. Each die of a pair of dice has six faces with 1, 2, 3, 4, 5 or 6 spots. How many different possible outcomes are there when rolling two dice? ______________ How many different ways can two dice be rolled and end up showing a total of 5? _______________ What is the probability of rolling a total of 7? _____________
Updated 24 January 2009.
yaya@dowling.edu