Chapter 7

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\frac{5}{9} \cdot \frac{3}{10}$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{5}{x}+\frac{12}{x}$$

Simplify each algebraic fraction. $$\frac{6 x}{14 y}$$

For Problems 1-40, perform the indicated operations and express answers in simplest form. $$ \frac{4}{x^{2}-4 x}+\frac{3}{x} $$

$$ \text { For Problems 1-32, solve each equation. (Objective 1) } $$ $$ \frac{4}{x}+\frac{7}{6}=\frac{1}{x}+\frac{2}{3 x} $$

\(\frac{x}{2}+\frac{x}{3}=10\)

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\frac{7}{8} \cdot \frac{12}{14}$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{17}{x}-\frac{13}{x}$$

Simplify each algebraic fraction. $$\frac{8 y}{18 x}$$

For Problems 1-40, perform the indicated operations and express answers in simplest form. $$ \frac{3}{x^{2}+2 x}+\frac{7}{x} $$

$$ \text { For Problems 1-32, solve each equation. (Objective 1) } $$ $$ \frac{2}{3 x}-\frac{9}{x}=-\frac{25}{9} $$

\(\frac{x}{8}-\frac{x}{6}=-1\)

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\left(-\frac{3}{4}\right)\left(\frac{6}{7}\right)$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{7}{3 x}-\frac{5}{3 x}$$

Simplify each algebraic fraction. $$\frac{9 x y}{24 x}$$

For Problems 1-40, perform the indicated operations and express answers in simplest form. $$ \frac{7}{x^{2}+2 x}-\frac{5}{x} $$

$$ \text { For Problems 1-32, solve each equation. (Objective 1) } $$ $$ \frac{3}{2 x+2}+\frac{4}{x+1}=\frac{11}{12} $$

\(\frac{x}{6}-\frac{4 x}{3}=\frac{1}{9}\)

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\left(\frac{5}{6}\right)\left(-\frac{4}{15}\right)$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{4}{5 x}+\frac{3}{5 x}$$

Simplify each algebraic fraction. $$\frac{12 y}{20 x y}$$

For Problems 1-40, perform the indicated operations and express answers in simplest form. $$ \frac{9}{x^{2}-5 x}-\frac{1}{x} $$

$$ \text { For Problems 1-32, solve each equation. (Objective 1) } $$ $$ \frac{5}{2 x-6}+\frac{1}{x-3}=\frac{7}{2} $$

\(\frac{3 x}{4}+\frac{x}{5}=\frac{3}{10}\)

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\left(\frac{17}{9}\right) \div\left(-\frac{19}{9}\right)$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{7}{2 n}+\frac{1}{2 n}$$

Simplify each algebraic fraction. $$\frac{-15 x^{2} y}{25 x}$$

For Problems 1-40, perform the indicated operations and express answers in simplest form. $$ \frac{8}{n}-\frac{2}{n^{2}-6 n} $$

$$ \text { For Problems 1-32, solve each equation. (Objective 1) } $$ $$ \frac{5}{2 n-10}-\frac{3}{n-5}=1 $$

\(\frac{n}{2}+\frac{n-1}{6}=\frac{5}{2}\)

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\left(-\frac{15}{7}\right) \div\left(\frac{13}{14}\right)$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{5}{3 n}+\frac{4}{3 n}$$

Simplify each algebraic fraction. $$\frac{16 x^{3} y^{2}}{-28 x^{2} y}$$

For Problems 1-40, perform the indicated operations and express answers in simplest form. $$ \frac{6}{n}-\frac{4}{n^{2}+6 n} $$

$$ \text { For Problems 1-32, solve each equation. (Objective 1) } $$ $$ \frac{7}{3 x+6}-\frac{2}{x+2}=2 $$

\(\frac{n+2}{7}+\frac{n}{3}=\frac{12}{7}\)

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\frac{8 x y}{12 y} \cdot \frac{6 x}{14 y}$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{9}{4 x^{2}}-\frac{13}{4 x^{2}}$$

Simplify each algebraic fraction. $$\frac{-36 x^{4} y^{3}}{-48 x^{6} y^{2}}$$

For Problems 1-40, perform the indicated operations and express answers in simplest form. $$ \frac{4}{n^{2}+n}-\frac{4}{n} $$

$$ \text { For Problems 1-32, solve each equation. (Objective 1) } $$ $$ \frac{3}{2 t}-\frac{5}{t}=\frac{7}{5 t}+1 $$

\(\frac{t-3}{4}+\frac{t+1}{9}=-1\)

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\frac{9 x}{15 y} \cdot \frac{20 x y}{18 x}$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{12}{5 x^{2}}-\frac{22}{5 x^{2}}$$

Simplify each algebraic fraction. $$\frac{-18 x^{3} y}{-36 x y^{3}}$$

For Problems 1-40, perform the indicated operations and express answers in simplest form. $$ \frac{8}{n^{2}-2 n}+\frac{4}{n} $$

$$ \text { For Problems 1-32, solve each equation. (Objective 1) } $$ $$ \frac{2}{3 t}+\frac{3}{4 t}=1-\frac{5}{2 t} $$

\(\frac{t-2}{4}-\frac{t+3}{7}=1\)

Perform the indicated multiplications and divisions and express your answers in simplest form. $$\left(-\frac{5 n^{2}}{18 n}\right)\left(\frac{27 n}{25}\right)$$

Add or subtract as indicated. Be sure to express your answers in simplest forn. (Objective 1) $$\frac{x+1}{x}+\frac{3}{x}$$