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LCD of Rational Expressions

Total questions: 11

Worksheet time: 23mins

Name
Class
Date
1.

What is the least common denominator for 14\frac{1}{4}  and  46\frac{4}{6}  

a)

12

b)

6

c)

24

d)

4

2.
Find the LCD of these fractions.
a)
(x+2)(x-2)
b)
(x+2)
c)
(x-2)
d)
(x2-4)(x+2)
3.
Find the LCD of these fractions.
a)
(x+2)(x-2)
b)
(x+2)(x+1)
c)
(x+2)(x-2)(x+1)
d)
(x-2)(x+1)
4.
Find the least common denominator of the expression
a)
18
b)
6x
c)
3xy
d)
6xy
5.

 Find the LCD of the following rational numbers 25\frac{2}{5} and  310\frac{3}{10}  

a)

10

b)

5

c)

15

d)

20

6.

Find the LCD of the following rational expression  \frac{5}{x+8}  and  2xx+3\frac{2x}{x+3}  

a)

(x+8)(x-3)

b)

8x(x+2)

c)

(x2+3x+24)

7.

Find the LCD of the following rational expressions
 \frac{2x}{x+1}  and  1x2−1\frac{1}{x^2-1} 

a)

(x+1)(x-1)

b)

(x+1)2 (x-1)

c)

(2x+2)

8.
What is my name?
a)
Slanthead
b)
Slugger Joe
c)
Slam Sam
d)
Popeye
9.
What movie are these puppies from?
a)
Lady and The Tramp
b)
Bambi
c)
Jungle Book
d)
101 Dalmations
10.

What is the least common multiple of x2-16 and x2+4x-32?

HINT: Think least common denominator!

a)

(x + 4)(x – 4)(x + 8)

b)

(x-4)2 (x+8)

c)

(x + 4)(x – 4)

d)

(x - 4)(x-4)2(x + 8)

11.

What is the least common multiple of 3x2 - 27 and 5x2+10x-75?

HINT: Think least common denominator!

a)

3(x+3)(x-3)(x+5)

b)

15(x+3)(x+3)(x+5)

c)

15(x+3)(x-3)(x+5)

d)

5(x+3)(x-3)(x+5)