Written in simplest form, the expression is equivalent to

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					Regents Exam Questions by Topic                                                            Page 1
RATIONALS: Rational Expressions
www.jmap.org                                             Name: __________________________________

   1                                                      x7
           For which value of x is the expression             undefined?
 080422a                                                  x2
           (1) –2                       (3) 7
           (2) 2                        (4) 0

   2                                                    3x  6
           For which value of x is the expression              undefined?
 060319a                                                 x4
           (1) 0                        (3) –4
           (2) 2                        (4) 4

   3       For which value of x is the expression
                                                           3
                                                              undefined?
 080610a                                                  x2
           (1) -2                            (3) 3
           (2) 2                              (4) 0

   4       For which value of x will the fraction
                                                           3
                                                                be undefined?
 010607a                                                 2x  4
           (1) -2                       (3) 0
           (2) 2                        (4) -4

   5       Which expression is undefined when w  3 ?
               w3                          w 1
 010716a   (1)                        (3) 2
               w 1                       w  3w
               w  2w
                2
                                           3w
           (2)                        (4)
                  5w                      3w 2

   6                                       x2  2 x
           If x  0 , the expression                is equivalent to
 010109a                                      x
           (1) x + 2                    (3) 3x
           (2) 2                        (4) 4

   7                                                    6 x3  9 x 2  3x
           Which polynomial is the quotient of                            ?
 060102a                                                       3x
           (1) 2x 2 + 3x + 1            (3) 2x + 3
           (2) 2x 2 + 3x                (4) 6x 2 + 9x

   8                 x 2  6x  5
           Simplify:
 010631a                x 2  25

   9                   9 x 2  15 xy
           Simplify:
 069924a               9 x 2  25 y 2
Regents Exam Questions by Topic                                                       Page 2
RATIONALS: Rational Expressions
www.jmap.org                                        Name: __________________________________

  10       Which expression is in simplest form?
060712b        x                             x2  4
           (1) 2                        (3)
               x                             x2
                 9                           x 2  6x  9
           (2) 2                        (4) 2
               x 9                           x  x6

  11                                                x2 y2  9
           Written in simplest form, the expression           is equivalent to
080305b                                              3  xy
           (1) 1                 (3) (3  xy)
                  1
           (2)                    (4) 3 xy
               3  xy

  12                                                    x2  9x
           Written in simplest form, the expression               is equivalent to
060504b                                                45x  5x 2
                 1
           (1)                     (3) 5
                 5
                     1
           (2)                    (4) 5
                     5

  13                        3 y 2  12 y
           The expression                is equivalent to
080619b                     4y2  y3
                 3                              9
           (1)                            (3) 
                 y                              4
                     3                        3 12
           (2)                           (4)  2
                     y                        4 y

  14       Express the following rational expression in simplest form:
060325b
                 9  x2
           10 x 2  28 x  6

  15                                                                 2x  x2
           For all values of x for which the expression is defined, 2          is equivalent
060202b                                                             x  5x  6
           to
                 1                       1
           (1)                     (3)
               x3                     x2
                 x                       x
           (2)                     (4)
               x3                     x2

				
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