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Worksheets

Rational Expressions (Test 5)

Total questions: 8

Worksheet time: 16mins

Name
Class
Date
1.

Simplify:  18x86x7\frac{18x^8}{6x^7}  

a)

3x

b)

3

c)

2x

d)

2

2.

 Simplify:

 50a8b4c675a5b2c5\frac{50a^8b^4c^6}{75a^5b^2c^5} 

a)

25

b)

 1a325\frac{1a^3}{25}  

c)

 2a3b2c3\frac{2a^3b^2c}{3}  

d)

-25

3.

Simplify:  (x+5)(5x5)(5x5)(x2)\frac{\left(x+5\right)\left(5x-5\right)}{\left(5x-5\right)\left(x-2\right)}  

a)

2

b)

 x+5x2\frac{x+5}{x-2}  

c)

1

d)

 52-\frac{5}{2}  

4.

Simplify:

  x2+8xx2+6x16\ \frac{x^2+8x}{x^2+6x-16}  

a)

 xx2\frac{x}{x-2}  

b)

2x-2

c)

2x+2

d)

 xx+2\frac{x}{x+2}  

5.

 14x330x2×4x4\frac{14x^3}{30x^2}\times4x^4  

a)

 28x15\frac{28x}{15}  

b)

 68x790x6\frac{68x^7}{90x^6}  

c)

 18x134x2\frac{18x^{-1}}{34x^{-2}}  

d)

 28x515\frac{28x^5}{15}  

6.

 7x21x28x+24×x+42x+4\frac{7x-21}{x^2-8x+24}\times\frac{x+4}{2x+4}  

a)

 7x2(x3)(x4)2\frac{7x^2\left(x-3\right)}{\left(x-4\right)^2}  

b)

 7x2(x3)(x+4)2\frac{7x^2\left(x-3\right)}{\left(x+4\right)^2}  

c)

 7x2(x3)(x4)2\frac{7x^2\left(x-3\right)}{\left(x-4\right)^2}  

d)

 7x+4(x4)2\frac{7x+4}{\left(x-4\right)^2}  

7.

 2x36x2y÷2060y\frac{2x^3}{6x^2y}\div\frac{20}{60y}  

a)

2x

b)

-x

c)

x

d)

-2x

8.

 3x(x+5)(x+3)(x+2)÷(x+5)(x+2)\frac{3x\left(x+5\right)}{\left(x+3\right)\left(x+2\right)}\div\frac{\left(x+5\right)}{\left(x+2\right)}  

a)

 3x+3\frac{3}{x+3}  

b)

 3xx+3\frac{3x}{x+3}  

c)

 3x\frac{3}{x}  

d)

 x+3x+3