Rational Expressions

Practice Questions

Algebra II › Rational Expressions

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1

Simplify: $\frac{x^2-x}{x^3-x} \cdot \frac{x+1}{x-1}$

2

Simplify the expression:

$\frac{5}{x+ 6} + \frac{2}{x^{2}+ 4x-12}$

3

Which value of makes the following expression undefined?

$\frac{x+1}{x-1}$

4

Solve for , given the equation below.

$\frac{x + 2}{x - 1} = \frac{2x + 4}{x}$

5

$\frac{y+1}{8y+2} + \frac{3}{y} = \frac{5}{3}$

Solve for .

6

Solve for :

$\frac{3}{x-1} + \frac{4}{x- 3 } = 5$

7

$\frac{2x-1}{xy}+\frac{4y+3}{y^2}$

8

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

9

Simplify: $\frac{5}{x}-\frac{2x}{x+7}$

10

Simplify: $\frac{x}{x-9}\div\frac{x-9}{x-18}$

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