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Adding and Subtracting Rational Expressions

Total questions: 10

Worksheet time: 20mins

Name
Class
Date
1.
Find the least common denominator of the expression
a)
18
b)
6x
c)
3xy
d)
6xy
2.
Simplify the expression
a)
6x / 20xy
b)
3 / 10y
c)
(6x+1) / (20xy)
d)
3 / 20xy
3.
Simplify the expression
a)
n / 2m 
b)
n / 3m 
c)
(m+ 4n2) / 12m
d)
n / 4m 
4.
Simplify the expression
a)
(2a + 4b) / 12b2
b)
(2a - 4b) / 12b2 
c)
(a - b) / 6b2
d)
(a + 2b) / 6b2 
5.
Simplify the expression
a)
(5x + 4y) / 9y
b)
(6y + 3x) / 3y
c)
(2y + x) / y
d)
(6y + 3x) / 9y 
6.

Simplify the expression

a)

(-17x - 12y) / 15x

b)

(23x - 4y) / 15x

c)

(-17x - 4y) / 15x

d)

(-3x - 4y) / 8x

7.
Simplify the expression
a)
(30ab3 + 8a) / 10b3
b)
(15ab3 + 4a) / 5b3
c)
10a / 7b3
d)
(10a) / (5b3  + 2)
8.
Simplify the expression
a)
(4 - 2ab2 + 3b3) / 4b2
b)
(4a - 2a2b2 + 3ab3) / 4ab2
c)
(4 - 2ab2 - 3b3) / 4b2
d)
(4a - 2a2b2 - 3ab3) / 4ab2
9.
Simplify the expression
a)
(19k2 -12k - 12) / 4k(5k-4)
b)
(19k2 - 24k) / 4k(5k-4)
c)
(19k) /  4(5k-4)
d)
(19k - 24) / 4(5k-4)
10.
Simplify the expression
a)
(12n2 + 28n + 4) / (2n-5)(n+2)
b)
(12n2 - 28n + 4) / (2n-5)(n+2)
c)
(8n) / (3n + 3)
d)
(12n2 + 2n -3) / (2n-5)(n+2)