Chapter 2

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(y+3 \geq 0\)

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A x+B y=C\) for \(y\)

Solve each equation in using the multiplication property of equality. Be sure to check your proposed $$2 x-12 x=50$$

Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$7(3 x-2)+5=6(2 x-1)+24$$

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$x-\frac{3}{4}=\frac{9}{2}$$

Solve the formula for the volume of a circular cylinder for \(h\)

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(3 x+4 \leq 2 x+7\)

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. What is \(3 \%\) of \(200 ?\)

Solve each equation in using the multiplication property of equality. Be sure to check your proposed $$8 x-3 x=-45$$

Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$6=-4(1-x)+3(x+1)$$

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

Solve the formula for the volume of a circular cylinder for \(h\)

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(2 x+9 \leq x+2\)

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. What is \(8 \%\) of \(300 ?\)

Solve each equation in using the multiplication property of equality. Be sure to check your proposed $$8 x-3 x=-45$$

Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$100=-(x-1)+4(x-6)$$

A car rental agency charges 200 dollars per week plus 0.15 dollars per mile to rent a car. How many miles can you travel in one week for 320 dollars ?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$-\frac{1}{5}+y=-\frac{3}{4}$$

Solve the formula for the volume of a circular cylinder for \(h\)

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(5 x-9<4 x+7\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$2 x+1=11$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. What is \(18 \%\) of \(40 ?\)

Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$10(z+4)-4(z-2)=3(z-1)+2(z-3)$$

A car rental agency charges 180 dollars per week plus 0.25 dollars per mile to rent a car. How many miles can you travel in one week for 395 dollars ?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$-\frac{1}{8}+y=-\frac{1}{4}$$

Solve the formula for the volume of a circular cylinder for \(h\)

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(3 x-8<2 x+11\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$2 x+5=13$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. What is \(16 \%\) of \(90 ?\)

Solve each equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. $$-2(z-4)-(3 z-2)=-2-(6 z-2)$$

The bar graph shows that average rent and mortgage payments in the United States have increased since \(1975,\) even after taking inflation into account. Exercises \(31-32\) are based on the information displayed by the graph. (GRAPH CANNOT COPY) In \(2008,\) mortgage payments averaged 1514 dollars per month. For the period shown, monthly mortgage payments increased by approximately 20 dollars per year. If this trend continues, how many years after 2008 will mortgage payments average 1714 dollars ? In which year will this occur?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$3.2+x=7.5$$

Use the relationship among the three angles of any triangle to solve. Two angles of a triangle have the same measure and the third angle is \(30^{\circ}\) greater than the measure of the other two. Find the measure of each angle. (image cannot copy)

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. \(7 x-7>6 x-3\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$2 x-3=9$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. 3 is \(60 \%\) of what?

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{x}{5}-4=-6$$

The bar graph shows that average rent and mortgage payments in the United States have increased since \(1975,\) even after taking inflation into account. Exercises \(31-32\) are based on the information displayed by the graph. (GRAPH CANNOT COPY) In \(2008,\) rent payments averaged 824 dollars per month. For the period shown, monthly rent payments increased by approximately 7 dollars per year. If this trend continues, how many years after 2008 will rent payments average 929 dollars? In which year will this occur?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$-2.7+w=-5.3$$

Use the relationship among the three angles of any triangle to solve. (image cannot copy) One angle of a triangle is three times as large as another. The measure of the third angle is \(40^{\circ}\) more 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. \(8 x-9>7 x-3\)

Solve each equation in using both the addition and multiplication properties of equality. Check proposed solutions. $$3 x-2=9$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve. 8 is \(40 \%\) of what?

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{x}{2}+13=-22$$

A rectangular field is four times as long as it is wide. If the perimeter of the field is 500 yards, what are the field's dimensions?

Solve each equation using the addition property of equality. Be sure to check your proposed solutions. $$x+\frac{3}{4}=-\frac{9}{2}$$

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

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. \(24 \%\) of what number is \(40.8 ?\)

Solve each equation and check your proposed solution in Exercises. Begin your work by rewriting each equation without fractions. $$\frac{2 x}{3}-5=7$$