Chapter 2

A rectangular field is five times as long as it is wide. If the perimeter of the field is 288 yards, what are the field's dimensions?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$r+\frac{3}{5}=-\frac{7}{10}$$

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(x-\frac{1}{3} \geq \frac{5}{6}\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$-3 y+4=13$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. \(32 \%\) of what number is \(51.2 ?\)

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{3 x}{4}-9=-6$$

An American football field is a rectangle with a perimeter of 1040 feet. The length is 200 feet more than the width. Find the width and length of the rectangular field.

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$5=-13+y$$

One angle of a triangle is twice as large as another. The measure of the third angle is \(20^{\circ}\) more than that of the smallest angle. Find the measure of cach angle.

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(y+\frac{7}{8} \leq \frac{1}{2}\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$-3 y-7=-1$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. 3 is what percent of \(15 ?\)

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{2 y}{3}-\frac{3}{4}=\frac{5}{12}$$

A basketball court is a rectangle with a perimeter of 86 meters. The length is 13 meters more than the width. Find the width and length of the basketball court.

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$-11=8+x$$

One angle of a triangle is three times as large as another. The measure of the third angle is \(30^{\circ}\) greater than that of the smallest angle. Find the measure of each angle.

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(y+\frac{1}{3} \leq \frac{3}{4}\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$-2 y-5=7$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. 18 is what percent of \(90 ?\)

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{3 y}{4}-\frac{2}{3}=\frac{7}{12}$$

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$-\frac{3}{5}=-\frac{3}{2}+s$$

Find the measure of the complement of each angle. $$58^{\circ}$$

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(-15 y+13>13-16 y\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$12=4 z+3$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. What percent of 2.5 is \(0.3 ?\)

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{x}{3}+\frac{x}{2}=\frac{5}{6}$$

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$\frac{7}{3}=-\frac{5}{2}+z$$

Find the measure of the complement of each angle. $$41^{\circ}$$

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(-12 y+17>20-13 y\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$14=5 z-21$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. What percent of 7.5 is \(0.6 ?\)

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{x}{4}-\frac{x}{5}=1$$

After a \(20 \%\) reduction, you purchase a television for \(\$ 320 .\) What was the television's price before the reduction?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$830+y=520$$

Find the measure of the complement of each angle. $$88^{\circ}$$

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. \(\frac{1}{2} x<4\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$-x-3=3$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. If 5 is increased to \(8,\) the increase is what percent of the original number?

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$20-\frac{z}{3}=\frac{z}{2}$$

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. \(\frac{1}{2} x>3\)

After a \(30 \%\) reduction, you purchase a DVD player for \(\$ 98 .\) What was the price before the reduction?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$-90+t=-35$$

Find the measure of the complement of each angle. $$2^{\circ}$$

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$-x-5=5$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. If 5 is increased to \(9,\) the increase is what percent of the original number?

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{z}{5}-\frac{1}{2}=\frac{z}{6}$$

This year's salary, \(\$ 50,220,\) is an \(8 \%\) increase over last year's salary. What was last year's salary?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$r+3.7=8$$

Find the measure of the supplement of each angle. $$132^{\circ}$$

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. \(\frac{x}{3}>-2\)