90738 MTH 1002A - 0 - Fundamentals of Mathematics Fall 2010 Tuesday, Thursday, 11:30 am - 12:51 pm, KSC 101 Herbert J. Bernstein (yaya@dowling.edu) Diagnostic Quiz

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This is an evaluation quiz for one section of MTH 1002A for Fall 2010. 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.

• Name: __________________________________________
• Email: _________________________________________

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 = __________