Chapter 2

Introductory and Intermediate Algebra for College Students 4th · 562 exercises

Problem 33

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) \(24 \%\) of what number is \(40.8 ?\)

4 step solution

Problem 34

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

4 step solution

Problem 34

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

3 step solution

Problem 34

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

4 step solution

Problem 34

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

4 step solution

Problem 34

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

4 step solution

Problem 34

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) \(32 \%\) of what number is \(51.2 ?\)

4 step solution

Problem 35

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.

4 step solution

Problem 35

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

3 step solution

Problem 35

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

3 step solution

Problem 35

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 each angle.

4 step solution

Problem 35

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

3 step solution

Problem 35

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

3 step solution

Problem 35

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) 3 is what percent of \(15 ?\)

3 step solution

Problem 36

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.

5 step solution

Problem 36

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

3 step solution

Problem 36

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.

5 step solution

Problem 36

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

3 step solution

Problem 36

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

2 step solution

Problem 36

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

3 step solution

Problem 36

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) 18 is what percent of \(90 ?\)

4 step solution

Problem 37

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

3 step solution

Problem 37

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

3 step solution

Problem 37

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

3 step solution

Problem 37

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

4 step solution

Problem 37

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

4 step solution

Problem 37

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) What percent of 2.5 is \(0.3 ?\)

4 step solution

Problem 38

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

3 step solution

Problem 38

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

2 step solution

Problem 38

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

3 step solution

Problem 38

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

4 step solution

Problem 38

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

3 step solution

Problem 38

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) What percent of 7.5 is \(0.6 ?\)

4 step solution

Problem 39

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

3 step solution

Problem 39

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

3 step solution

Problem 39

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

3 step solution

Problem 39

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

3 step solution

Problem 39

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

3 step solution

Problem 39

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

4 step solution

Problem 39

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) If 5 is increased to \(8,\) the increase is what percent of the original number?

3 step solution

Problem 40

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

3 step solution

Problem 40

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

3 step solution

Problem 40

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

3 step solution

Problem 40

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

4 step solution

Problem 40

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

3 step solution

Problem 40

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

3 step solution

Problem 40

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) If 5 is increased to \(9,\) the increase is what percent of the original number?

3 step solution

Problem 41

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

4 step solution

Problem 41

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

2 step solution

Problem 41

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

2 step solution

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