Understand that rational expressions form a system analogous to the rational numbers; add subtract multiply and divide rational expressions.

Sample Practice Questions (3)

Find the area of the rectangle shown below in simplest form.

\frac{1}{x - 1}

\frac{x + 1}{x ^{2} - 1}

\frac{x ^{2} + x}{x ^{3} - x}

\frac{1}{x + 1}

The rectangle shown below has an area of

\frac{x ^{2} - 16}{x ^{2} + 2 x - 8}

square units. If the width is

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

units, find the length of the rectangle in simplest form.

\frac{x - 4}{x + 4}

\frac{x + 4}{x - 4}

1

\frac{( x - 4 ) ( x + 4 )}{( x - 2 ) ^{2}}

The area of the rectangle shown below is represented by the expression

\frac{x ^{2} - 1}{x + 2}

. If the width of the rectangle is

\frac{x - 1}{x ^{2} - 4}

, find an expression for the length of the rectangle in simplest form.

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