# 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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