91Ó°ÊÓ

Match each division problem in Column I with the correct quotient in Column II. (a) \(\frac{5 x^{3}}{10 x^{4}} \div \frac{10 x^{7}}{4 x}\) (b) \(\frac{10 x^{4}}{5 x^{3}} \div \frac{10 x^{7}}{4 x}\) (c) \(\frac{5 x^{3}}{10 x^{4}} \div \frac{4 x}{10 x^{7}}\) (d) \(\frac{10 x^{4}}{5 x^{3}} \div \frac{4 x}{10 x^{7}}\) A. \(\frac{5 x^{5}}{4}\) B. \(5 x^{7}\) C. \(\frac{4}{5 x^{5}}\) D. \( \frac{1}{5 x^{7}}\)

Identify the following as an expression or an equation. Then simplify the expression or solve the equation. \(\frac{7}{8} x+\frac{1}{5} x=1\)

Multiply. Write each answer in lowest terms. $$ \frac{15 a^{2}}{14} \cdot \frac{7}{5 a} $$

Which complex fraction is equivalent to \(\frac{2-\frac{1}{4}}{3-\frac{1}{2}} ?\) Answer this question without showing any work, and explain your reasoning. A. \(\frac{2+\frac{1}{4}}{3+\frac{1}{2}}\) B. \(\frac{2-\frac{1}{4}}{-3+\frac{1}{2}}\) C. \(\frac{-2-\frac{1}{4}}{-3-\frac{1}{2}}\) D. \(\frac{-2+\frac{1}{4}}{-3+\frac{1}{2}}\)

\(\begin{array}{llll}{\text { What is the least common denominator for } \frac{9}{20} \text { and } \frac{1}{2} ?} & {} & {} \\ {\text { A. } 40} & {\text { B. } 2} & {\text { C. } 20} & {\text { D. none of these }}\end{array}\)

Match each expression in Column I with the correct sum or difference in Column II. $$ \Lambda .2 $$ $$ \text { B. } \frac{x-8}{x+8} $$ $$ \mathbf{C.}_-1 $$ $$ \text { D. } \frac{8+x}{8 x} $$ $$ \mathbf{E} . {1} $$ $$ \mathbf{F} .0 $$ $$ \text { G. } \frac{x-8}{8 x} $$ $$ \text { H. } \frac{8-x}{x+8} $$ $$ \frac{8}{x+8}-\frac{x}{x+8} $$

Only one of these choices is equal to \(\frac{\frac{1}{3}+\frac{1}{12}}{\frac{1}{2}+\frac{1}{4}} .\) Which one is it? Answer this question without showing any work, and explain your reasoning. A. \(\frac{5}{9}\) B. \(-\frac{5}{9}\) C. \(-\frac{9}{5}\) D. \(-\frac{1}{12}\)

Find the numerical value of each rational expression for (a) \(x=2\) and \((b) x=-3\) $$ \frac{2 x^{2}-4 x}{3 x-1} $$

Multiply. Write each answer in lowest terms. $$ \frac{21 b^{6}}{18} \cdot \frac{9}{7 b^{4}} $$

Identify the following as an expression or an equation. Then simplify the expression or solve the equation. \(\frac{4}{7} x+\frac{4}{5} x=1\)