91Ó°ÊÓ

Solve each equation. $$\frac{y}{3}=\frac{27}{y}$$

Convert each rational expression into an equivalent rational expression that has the indicated denominator. $$ \frac{1}{5}, \frac{?}{50} $$

Perform the indicated operations. When possible write down only the answer. $$(a-b) \div(-1)$$

Either solve the given equation or perform the indicated operation \((s),\) whichever is appropriate. $$\frac{2}{x}-\frac{3}{4}=\frac{1}{2}$$

Write a step-by-step strategy for simplifying complex fractions with negative exponents. Have a classmate use your strategy to simplify some complex fractions from Exercises 41–60.

Solve each equation. Identify each equation as a conditional equation, an inconsistent equation, or an identity. State the solution sets to the identities using interval notation. $$\frac{1}{x}+\frac{1}{2 x}=\frac{5}{4 x}$$

Perform the indicated operations. $$\frac{9 a-3}{1-9 a^{2}} \cdot \frac{9 a^{2}+6 a+1}{6}$$

Solve each equation. Identify each equation as a conditional equation, an inconsistent equation, or an identity. State the solution sets to the identities using interval notation. $$\frac{1}{x}+\frac{1}{x-1}=\frac{2 x-1}{x^{2}-x}$$

In place of each question mark in Exercises \(75-92,\) put an expression that will make the rational expressions equivalent. $$\frac{3}{x-4}=\frac{?}{4-x}$$

Solve each problem. Driving speed. Jeremy drives 500 miles in \(x\) hours. Find a rational function \(S(x)\) that gives his average speed in miles per hour.