91Ó°ÊÓ

Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{9-15 x}{5 x^{2}-3 x}$$

Add or subtract as indicated. Simplify the result, if possible. $$7-\frac{4 y}{y+5}$$

Use the \([\text { GRAPH }]\) or \([\text { TABLE }]\) feature of a graphing utility to determine if the simplification is correct. If the answer is wrong, correct it and then verify your corrected simplification using the graphing utility. \(\frac{\frac{1}{x}+1}{\frac{1}{x}}=2\)

perform the indicated operation or operations. Simplify the result, if possible. $$\frac{3 x}{(x+1)^{2}}-\left[\frac{5 x+1}{(x+1)^{2}}-\frac{3 x+2}{(x+1)^{2}}\right]$$

Perform the indicated operation or operations. $$\frac{5 x^{2}-x}{3 x+2} \div\left(\frac{6 x^{2}+x-2}{10 x^{2}+3 x-1} \cdot \frac{2 x^{2}-x-1}{2 x^{2}-x}\right)$$

perform the indicated operation or operations. Simplify the result, if possible. $$\frac{b}{a c+a d-b c-b d}-\frac{a}{a c+a d-b c-b d}$$

Determine whether each statement "makes sense" or "does not make sense" and explain your reasoning. I can solve the equation \(\frac{6}{x+3}=\frac{4}{x-3}\) by multiplying both sides by the LCD.

Perform the indicated operation or operations. $$\frac{x^{2}+x z+x y+y z}{x-y} \div \frac{x+z}{x+y}$$

Simplify each rational expression. If the rational expression cannot be simplified, so state. $$\frac{x^{2}-1}{1-x}$$

Add or subtract as indicated. Simplify the result, if possible. $$\frac{9 x+3}{x^{2}-x-6}+\frac{x}{3-x}$$