Rational Expressions Worksheet

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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
4 Which expression represents 25x  125
4
6
 27x
1 The expression 9x
in simplest
is equivalent to
2
 25
3
x
3x
form?
3x(1  3x)
1)
5
1)
2
3x(1  3x
2)
)
x
5
3x(1  9x
5
3)
)
2)
x
3
(1  x)
4)
9x
25
3)
x  5
25
4)
x  5
2 Which expression is equivalent to
6
4
2
 18x
 2x
2x
?
2
2x
3
2
 9x
2
1)
 3x  10
x
5 Which expression represents x
in
4
2
 9x
2
 25
2)
x
x
3
2
simplest form?
 9x
 1 `
3)
x
2
4
2
 9x
 1
4)
1)
x
5
x  2
2)
x  5
x  2
3)
x  5
2
 12x
3 Which expression represents 2x
in simplest
x  6
3x  10
4)
25
form?
1)
0
2)
2x
3)
4x
2x  2
4)
2
 25
x
6 Which fraction represents
expressed in
2
 x  20
x
simplest form?
5
1)
4
x  5
2)
x  4
x  5
3)
x  4
25
4)
x  20
2

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