Chapter 11

Solve the percent problem. 18 is what percent of \(60 ?\)

Simplify the expression. $$\frac{16 x^{2}}{8 x} \div \frac{4 x^{2}}{16 x}$$

The variables x and y vary directly. Use the given values to write an equation that relates x and y. $$x=8, y=24$$

Simplify the expression. $$\frac{9}{4 x}+\frac{7}{-5 x}$$

Solve the equation by cross multiplying. $$\frac{4}{x}=\frac{12}{5(x+2)}$$

Simplify the expression if possible. $$\frac{x+2 x^{2}}{x+2}$$

Divide. Divide \(16 y-9\) by 4.

Solve the percent problem. 52 is \(12.5 \%\) of what number?

Simplify the expression. $$\frac{25 x^{2}}{10 x} \div \frac{5 x}{10 x}$$

The variables x and y vary directly. Use the given values to write an equation that relates x and y. $$x=36, y=12$$

Simplify the expression. $$\frac{11}{6 x}+\frac{2}{13 x}$$

Solve the equation by cross multiplying. $$\frac{5}{x+4}=\frac{5}{3(x+1)}$$

Solve the proportion. Check for extraneous solutions. $$\frac{16}{4}=\frac{12}{x}$$

Simplify the expression if possible. $$\frac{12-5 x}{10 x^{2}-24 x}$$

Divide. Divide \(9 c^{2}+3 c\) by \(c\).

Solve the percent problem. \(14 \%\) of 220 feet is what distance?

Simplify the expression. $$\frac{13 x^{4}}{7 x} \div \frac{x^{3}}{7 x}$$

The variables x and y vary directly. Use the given values to write an equation that relates x and y. $$x=27, y=3$$

Simplify the expression. $$\frac{9}{5 x}-\frac{2}{x^{2}}$$

Solve the equation by cross multiplying. $$\frac{6}{x+2}=\frac{x}{4}$$

Solve the proportion. Check for extraneous solutions. $$\frac{4}{2 x}=\frac{7}{3}$$

Simplify the expression if possible. $$\frac{x^{2}+25}{2 x+10}$$

Divide. Divide \(9 m^{3}+4 m^{2}-8 m\) by \(m\).

Solve the percent problem. How much money is \(35 \%\) of \(\$ 750 ?\)

Simplify the expression. $$\frac{5-2 x}{-2} \cdot \frac{24}{10-4 x}$$

The variables x and y vary directly. Use the given values to write an equation that relates x and y. $$x=24, y=16$$

Simplify the expression. $$\frac{4}{x+4}-\frac{7}{x-2}$$

Solve the equation by cross multiplying. $$\frac{7}{x+1}=\frac{5}{x-3}$$

Solve the proportion. Check for extraneous solutions. $$\frac{5}{8}=\frac{c}{9}$$

Simplify the expression if possible. $$\frac{5-x}{x^{2}-8 x+15}$$

Divide. Divide \(-2 x^{2}-12 x\) by \(-2 x\).

Solve the percent problem. 42 feet is \(50 \%\) of what length?

Simplify the expression. $$\frac{4 x}{x^{2}-9} \cdot \frac{x-3}{8 x^{2}+12 x}$$

The variables x and y vary directly. Use the given values to write an equation that relates x and y. $$x=45, y=81$$

Simplify the expression. $$\frac{3}{x+3}+\frac{4 x}{2 x+6}$$

Solve the equation by multiplying each side by the least common denominator. $$\frac{56}{x}=\frac{9-x}{2}$$

Solve the proportion. Check for extraneous solutions. $$\frac{x}{3}=\frac{2}{5}$$

Simplify the expression if possible. $$\frac{2 x^{2}+11 x-6}{x+6}$$

Divide. Divide \(7 p^{3}+18 p^{2}\) by \(p^{2}\).

Solve the percent problem. What distance is \(24 \%\) of 710 miles?

Simplify the expression. $$\frac{-3}{x-4} \cdot \frac{x-4}{12(x-7)}$$

The variables x and y vary directly. Use the given values to write an equation that relates x and y. $$x=54, y=27$$

Simplify the expression. $$\frac{9}{x^{2}-3 x}+\frac{3}{x-3}$$

Solve the equation by multiplying each side by the least common denominator. $$\frac{x}{x+9}=\frac{9}{x+9}+2$$

Solve the proportion. Check for extraneous solutions. $$\frac{5}{3 c}=\frac{2}{3}$$

Simplify the expression if possible. $$\frac{x^{2}+x-20}{x^{2}+2 x-15}$$

Solve the percent problem. \(16 \%\) of what number is \(8 ?\)

Divide. Divide \(9 a^{2}-54 a-36\) by \(3 a\).

Simplify the expression. $$\frac{3 x^{2}}{10} \div \frac{9 x^{3}}{25}$$

The variables x and y vary inversely. Use the given values to write an equation that relates x and y. $$x=2, y=5$$