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Addition and Subtraction of Algebraic Fraction

Total questions: 12

Worksheet time: 21mins

Name
Class
Date
1.
Simplify the algebraic fraction.
a)
1/a
b)
8a/9
c)
9/8a
d)
9a/8
2.
a)
2a/0
b)
2a/5
c)
2a/10
d)
2a
3.
a)

4a/2

b)

2a

c)

3a/2

d)

4a/4

4.
a)

10a/10b

b)

10a/5b

c)

2a/b

d)

a/b

5.
a)

a/2

b)

3a/6

c)

8a/6

d)

7a/6

6.
a)

(2k-6l )/12

b)

(4k-12l )/24

c)

(k-3l)/6

d)

(3d-2l)/24

7.
a)

8m2/8n2

b)

13m/4n

c)

13m2/4n2

d)

8m/8n

8.

 85d+4−12d−3=\frac{8}{5d+4}-\frac{1}{2d-3}=  

a)

 11d−20(5d+4)(2d−3)\frac{11d-20}{\left(5d+4\right)\left(2d-3\right)}  

b)

 21d−28(5d+4)(2d−3)\frac{21d-28}{\left(5d+4\right)\left(2d-3\right)}  

c)

 11d−28(5d+4)(2d−3)\frac{11d-28}{\left(5d+4\right)\left(2d-3\right)}  

d)

 21d+20(5d+4)(2d−3)\frac{21d+20}{\left(5d+4\right)\left(2d-3\right)}  

9.
a)
A
b)
B
c)
C
d)
D
10.
a)
A
b)
B
c)
C
d)
D
11.
a)
A
b)
B
c)
C
d)
D
12.

 3x−4+x2x+7\frac{3}{x-4}+\frac{x}{2x+7}  

a)

 x2+2x+21(x−4)(2x+7)\frac{x^2+2x+21}{\left(x-4\right)\left(2x+7\right)}  

b)

 x2+6x+21(x−4)(2x+7)\frac{x^2+6x+21}{\left(x-4\right)\left(2x+7\right)}  

c)

 x2+6x+7(x−4)(2x+7)\frac{x^2+6x+7}{\left(x-4\right)\left(2x+7\right)}  

d)

 x2+2x+7(x−4)(2x+7)\frac{x^2+2x+7}{\left(x-4\right)\left(2x+7\right)}