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