Rational Expressions Worksheet Template

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Regents Exam Questions A.A.16: Rational Expressions 1
Name: ________________________
A.A.16: Rational Expressions 1: Simplify fractions with polynomials in the numerator and
denominator by factoring both and renaming them to lowest terms
 27x
 2x  15
4
6
2
9x
x
1 The expression
is equivalent to
4 Which expression represents
in
 3x
3
2
3x
x
3x(1  3x)
1)
simplest form?
5
3x(1  3x
1)
2
2)
)
x  5
3x(1  9x
5
2)
)
3)
x
(1  x)
3
2x  5
4)
9x
3)
x
2x  15
4)
3x
 12x
2
2x
2 Which expression represents
in simplest
x  6
form?
1)
0
5
For all values of x for which the expression is
2x
2x  x
2)
2
defined,
is equivalent to
3)
4x
 5x  6
2
x
2x  2
4)
1
1)
x  3
x
2)
x  3
3 Which expression is in simplest form?
1
3)
x
x  2
1)
2
x
x
4)
9
x  2
2)
 9
2
x
 4
2
x
3)
x  2
25x  125
 6x  9
2
x
6 Which expression represents
in simplest
4)
 25
2
 x  6
2
x
x
form?
5
1)
x
5
2)
x
25
3)
x  5
25
4)
x  5
1

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