91Ó°ÊÓ

Find the product.

$\frac{\mathbf{(}\mathbf{x}\mathbf{+}\mathbf{5}\mathbf{)}\mathbf{(}\mathbf{x}\mathbf{−}\mathbf{3}\mathbf{)}}{{\mathbf{x}}^{\mathbf{3}}}\mathbf{.}\frac{\mathbf{5}\mathbf{x}}{\mathbf{x}\mathbf{−}\mathbf{3}}$

A 135-pound person sits 5 feet from the centre of a seesaw. How far from the centre should a 108-pound person sit to balance the seesaw?

Determine whether each table or equation represents an inverse or a direct variation. Explain.

Find each quotient.

$\left(4x^{\mathrm{2}}−8x+5\right)÷\left(2x+1\right)$

AREA The area of a rectangle is $x^2+5x+6$. What binomial expressions represent the side lengths of the rectangle?

State the excluded value for each function.

$\mathit{y}\mathbf{=}\frac{1}{\mathbf{x}\mathbf{−}\mathbf{3}}$

Find the product.

$\frac{{\mathbf{a}}^{\mathbf{2}}\mathbf{+}\mathbf{2}\mathbf{a}\mathbf{+}\mathbf{1}}{\mathbf{a}\mathbf{+}\mathbf{1}}\mathbf{.}\frac{\mathbf{a}\mathbf{−}\mathbf{1}}{{\mathbf{a}}^{\mathbf{2}}\mathbf{−}\mathbf{1}}$

Determine whether each table or equation represents an inverse or a direct variation. Explain.

Find each quotient.

$\left(3x^{\mathrm{2}}−14x−3\right)÷\left(x−5\right)$

Find the product.

$\frac{\mathbf{m}}{{\mathbf{m}}^{\mathbf{2}}\mathbf{+}\mathbf{3}\mathbf{m}\mathbf{+}\mathbf{2}}\mathbf{.}\frac{\mathbf{m}\mathbf{+}\mathbf{2}}{{\mathbf{m}}^{\mathbf{2}}}$