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Math Y10 C5.2 Equivalent Fractions_Operation of Fraction 02

Total questions: 21

Worksheet time: 2hrs 52mins

Name
Class
Date
1.


 

a)

 .

b)

 .

c)

 .

d)

2.

Find the difference:

2xx321x32\frac{2x}{x^3-2}-\frac{1}{x^3-2}  

a)

2x1x32\frac{2x-1}{x^3-2}  

b)

2x+1x32\frac{2x+1}{x^3-2}  

c)

2x12x34\frac{2x-1}{2x^3-4}  

d)

2x+12x34\frac{2x+1}{2x^3-4}  

3.
Perform the operation
a)
A
b)
B
c)
C
d)
D
4.
Simplify the expression
a)
6x / 20xy
b)
3 / 10y
c)
(6x+1) / (20xy)
d)
3 / 20xy
5.
Simplify the expression
a)
n / 2m 
b)
n / 3m 
c)
(m+ 4n2) / 12m
d)
n / 4m 
6.
Simplify the expression
a)
(2a + 4b) / 12b2
b)
(2a - 4b) / 12b2 
c)
(a - b) / 6b2
d)
(a + 2b) / 6b2 
7.
a)

A

b)

B

c)

C

d)

D

8.

uv8v+6u3v8v\frac{u-v}{8v}+\frac{6u-3v}{8v}  

a)

7u4v16v\frac{7u-4v}{16v}  

b)

7u4v8v\frac{7u-4v}{8v}  

c)

7u+2v8v\frac{7u+2v}{8v}  

d)

7u+2v16v\frac{7u+2v}{16v}  

9.

Simplify 5xx98x9\frac{-5x}{x-9}-\frac{-8}{x-9}  

a)

5x+8x9\frac{-5x+8}{x-9}  

b)

5x8x9\frac{-5x-8}{x-9}  

c)

x95x\frac{x-9}{-5x}  

d)

x+8x\frac{x+8}{x}  

10.
Simplify.
a)
2p
b)
p/2
c)
2/p
d)
4p
11.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

12.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

13.
Simplify the expression
a)
6x / 20xy
b)
3 / 10y
c)
(6x+1) / (20xy)
d)
3 / 20xy
14.
When adding and subtracting rational expressions, my first step should be to:
a)
Combine like terms in the numerators.
b)
Determine a Least Common Denominator.
c)
Factor all of the numerators and all of the denominators.
d)
Change the operator to multiplication and reciprocate the second fraction.
15.
Perform the operation
a)
A
b)
B
c)
C
d)
D
16.

Add the rational expression with like denominators

a)

A

b)

B

c)

C

d)

D

17.

Simplify the expression: (x6)(x+5)(x+5)(x+6)=\frac{\left(x-6\right)\left(x+5\right)}{\left(x+5\right)\left(x+6\right)}=  

a)

1-1  

b)

66-\frac{6}{6}  

c)

x6x+6\frac{x-6}{x+6}  

d)

x5x6\frac{x-5}{x-6}  

18.

Add the expression with like denominators: 3r+1r+5+r+9r+5\frac{3r+1}{r+5}+\frac{r+9}{r+5}  

a)

2r+10r+5\frac{2r+10}{r+5}  

b)

4r+10r+5\frac{4r+10}{r+5}  

c)

22  

d)

4r+12r+5\frac{4r+12}{r+5}  

19.
Solve the equation for x.
a)
6
b)
12
c)
0
d)
3
20.
Solve by cross-multiplying.
a)
x = 2
b)
No Solution
c)
x = -10
d)
x = 10
21.
Solve 
a)
x = 0 , 4
b)
x = 1 , 3
c)
x = -4 , 0
d)
x = 5 , 2