Rational Expressions

Practice Questions

High School Math › Rational Expressions

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1

Divide and simplify the following rational expression:

$\frac{x^2+7x+10}{x+2}\div \frac{x^2+2x-15}{x^2-5x+6}$

2

Divide and simplify the following rational expression:

$\frac{x^2+7x+10}{x+2}\div \frac{x^2+2x-15}{x^2-5x+6}$

3

Simplify the following rational expression:

$\frac{n+5+\frac{3}{n+1}}{n-1-\frac{3}{n+1}}$

4

Simplify the following rational expression:

$\frac{n+5+\frac{3}{n+1}}{n-1-\frac{3}{n+1}}$

5

Solve:

If varies directly as , and when , find when .

6

Solve:

If varies directly as , and when , find when .

7

If two boxes have the same depth and capacity, the length is inversely proportional to the width. One box is $60\ cm$ long and $40\ cm$ wide. A second box (same depth and capacity) is $5\ cm$ long. How wide is it?

8

If two boxes have the same depth and capacity, the length is inversely proportional to the width. One box is $60\ cm$ long and $40\ cm$ wide. A second box (same depth and capacity) is $5\ cm$ long. How wide is it?

9

Solve the following rational equation:

$\frac{1}{n-2}=\frac{2n+1}{n^2+2n-8}+\frac{2}{n+4}$

10

If $\frac{-3}{x+2}-x-\frac{1}{x}+2=\frac{5}{2}$ , then what is the largest real value of x?

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