Free Printable 10E Algebraic Fractions

1.

Simplify $\frac{x}{x^2-2x}$

2.

Simplify $\frac{4y^2}{2xy-8y^2}$

3.

Simplify $\frac{x^2-9}{4x+12}$

4.

Simplify $\frac{x^2-9y^2}{3x-9y}$

5.

Simplify $\frac{x^2+4x-12}{x^2-4}$

6.

Simplify $\frac{x^2-11x+24}{x^2-7x-8}$

7.

Simplify $\frac{6x^2+3x-9}{6x^2+7x-3}$

8.

Simplify $\frac{x^2+3xy+2y^2}{2x^2+8xy+8y^2}$

9.

Simplify the algebraic fraction.

a)

$\frac{5cd}{3d-5c}$

b)

$\frac{5cd}{3c-5d}$

c)

$\frac{3c-5d}{5cd}$

d)

$\frac{3d-5c}{5cd}$

10.

Simplify the algebraic fraction.

a)

$\frac{1}{a}$

b)

$\frac{8a}{9}$

c)

$\frac{9}{8a}$

d)

$\frac{9a}{8}$

11.

Simplify the algebraic fraction.

a)

$\frac{6}{xy\left(1+2x\right)}$

b)

$\frac{1+2x}{6xy}$

c)

$\frac{1-2x}{6xy}$

d)

$\frac{y}{6xy}$

12.

a)

A

b)

B

c)

C

d)

D

13.

For
$\frac{x}{3}+\frac{x}{6}=\frac{\lceil\ \ \ \ \rceil}{6}+\frac{x}{6}$ ,
What is in the missing blank?

a)

x

b)

2x

c)

3x

d)

2

14.

Simplify the algebraic fraction.

a)

-m

b)

-1/m

c)

m/n

d)

1/mn

15.

a)

5/3(x-2)

b)

3(x-3)/5(x-2)

c)

1/3

d)

1/6

16.

Simplify the expression

a)

b)

c)

d)

17.

18.

19.

Solve for x

20.

don't put any spaces

21.

$\frac{8}{5d+4}-\frac{1}{2d-3}=$

a)

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

b)

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

c)

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

d)

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

22.

$\frac{10x-5}{5x^2-30x+45}-\frac{3x}{x^2+4x-21}=$

a)

$\frac{x^2+22x}{\left(x-3\right)^2\left(x+7\right)}$

b)

$\frac{x^2+22x-7}{\left(x-3\right)\left(x+7\right)}$

c)

$\frac{-x^2+22x-7}{\left(x-3\right)\left(x+7\right)}$

d)

$\frac{-x^2+22x-7}{\left(x-3\right)^2\left(x+7\right)}$

23.

Solve for X

a)

30

b)

900

c)

450

d)

90

24.

Solve for x:

$\frac{2}{x+1}=\frac{x}{x+1}+1$

a)

$\frac{1}{2}$

b)

$1$

c)

$\frac{1}{3}$

d)

$-1$

25.

Solve the equation.

a)

z = 2

b)

z = 56

c)

z = 11/8

d)

z=10

10E Algebraic Fractions

Total questions: 25

Worksheet time: 5hrs 15mins

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