
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: _________________________________________
 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.
 4832198 + 6897875 = _________
 358  427 = _________
 468 * 827 = _________
 865 / 35 = _________
 (43/87) + (29/137) = _________
 (11/12)  (23/24) = _________
 (19/21) * (7/8) = _________
 (11/13) / (18/19) = _________
 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 nonnegative
integers.
 { 1, 3, 5, 7 } * { 2, 4, 6, 8 }
 { 1, 3, 5, 7 } + { 2, 4, 6, 8 }
 { 1, 3, 5, 7 } * (  {2, 4, 6, 8 } )
 Solve the following equations for x. Use decimal fractions to no more than 6 places.
 x + 26 = 5
x = __________
 5*x = 26
x = __________
 298*x + 497 = 1024
x = __________
 5*x + 3 = 7x + 5
x = __________
 7/x + 5 = 1
x = __________
 Perform the indicated operations on polynomials and restate in
simplest terms.
 ( x + 1 )*( x  1 ) = _______________________
 3*( x + 1)^{2}  2*( x + 1) +1 = _______________________
 ( x^{2} + 17*x + 60 )/( x  5 ) = ________________________
 x^{5} * x^{7} * x^{3} = _____________________
 ( 3*x + y )*( 3*x  y ) = ________________________
 ( 36*x^{2} 18*x +9 )/( 7*x  3 ) + 5 = ________________________
 Solve the following quadratic equations for x.
 x^{2}  1 = 0
x = __________
 x^{2} + 2*x + 1 = 0
x = __________
 7*x^{2} + 25*x 12 = 0
x = __________
Updated 30 August 2010.
yaya@dowling.edu