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Algebraic fractions with brackets

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

For
 5x6+x10\frac{5x}{6}+\frac{x}{10}  ,
What should the common denominator be?

a)

16

b)

60

c)

30

d)

600

2.

Combine over a common denominator:

 2x3x4\frac{2x}{3}-\frac{x}{4}  

a)

 5x12\frac{5x}{12}  

b)

 x7\frac{x}{7}  

c)

 x12\frac{x}{12}  

d)

 11x12\frac{11x}{12}  

3.

For
 n3+2n7=                          21\frac{n}{3}+\frac{2n}{7}=\frac{\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ }{21}  ,
What is in the numerator?

a)

 n+2nn+2n  

b)

 7n+6n7n+6n  

c)

 7n+2n7n+2n  

d)

 7n+3n7n+3n  

4.

For
 x3+3x10=\frac{x}{3}+\frac{3x}{10}=  ,
What is the final answer?

a)

 10x+9x30\frac{10x+9x}{30}  

b)

 4x13\frac{4x}{13}  

c)

 x30\frac{x}{30}  

d)

 19x30\frac{19x}{30}  

5.

For
 5p127p8=\frac{5p}{12}-\frac{7p}{8}=  ,
What is the final answer?

a)

 2p24=p12\frac{-2p}{24}=\frac{-p}{12}  

b)

 2p4=p2\frac{-2p}{4}=\frac{-p}{2}  

c)

 11p24\frac{-11p}{24}  

d)

 13p24\frac{13p}{24}  

6.

Combine over a common denominator:

 2x9+5x6\frac{2x}{9}+\frac{5x}{6}  

a)

 7x18\frac{7x}{18}  

b)

 10x9\frac{10x}{9}  

c)

 7x15\frac{7x}{15}  

d)

 19x18\frac{19x}{18}  

7.

Combine over a common denominator:

 x3+x4\frac{x}{3}+\frac{x}{4}  

a)

 2x7\frac{2x}{7}  

b)

 x27\frac{x^2}{7}  

c)

 7x12\frac{7x}{12}  

d)

 7x24\frac{7x}{24}  

8.

Combine over a common denominator:

 x2+52\frac{x}{2}+\frac{5}{2}  

a)

 5x2\frac{5x}{2}  

b)

 x+52\frac{x+5}{2}  

c)

 x+54\frac{x+5}{4}  

9.

For
 a4+3a8\frac{a}{4}+\frac{3a}{8}  ,
What should the common denominator be?

a)

4

b)

8

c)

16

d)

32

10.
a)
4/x
b)
x/4
c)
1/4x
d)
4x
11.
Simplify the algebraic fraction.
a)
2pq
b)
2/pq
c)
pq/2
d)
p/2q
12.
Solve the equation
a)
x = 56
b)
x = -56
c)
x = 8/7
d)
x = -8/7
13.
a)

3c

b)

9b/4a

c)

4a

d)

2c/b

14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.
a)

A

b)

B

c)

C

d)

D

17.
a)
A
b)
B
c)
C
d)
D
18.
Simplify the expression
a)
6x / 20xy
b)
3 / 10y
c)
(6x+1) / (20xy)
d)
3 / 20xy
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
a)
2a/0
b)
2a/5
c)
2a/10
d)
2a
22.
Simplify the algebraic fraction.
a)
1/a
b)
8a/9
c)
9/8a
d)
9a/8
23.
a)
4/x
b)
x/4
c)
1/4x
d)
4x
24.
a)

2by/c

b)

4xb/ac

c)

2xb/ac

d)

ac/dc

25.
a)
A.
b)
B.
c)
C.
d)
D.