Chapter 2

Use the fact that page numbers on facing pages of a book are consecutive integers. The sum of the page numbers on the facing pages of a book is \(525 .\) What are the page numbers?

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$t+\frac{2}{3}=-\frac{7}{6}$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-\frac{x}{5}=-1$$

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

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe. $$A x+B y=C \text { for } y$$

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

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

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

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

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

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) What is \(3 \%\) of \(200 ?\)

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

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

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

Solve the formula for the volume of a cone for \(h\)

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

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) What is \(8 \%\) of \(300 ?\)

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

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

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

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

A cylinder with radius 3 inches and height 4 inches has its radius tripled. How many times greater is the volume of the larger cylinder than the smaller cylinder?

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) What is \(18 \%\) of \(40 ?\)

Solve 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 dollar per week plus 0.25 dollar per mile to rent a car. How many miles can you travel in one week for 395 dollar? (GRAPH CAN NOT COPY)

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

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

A cylinder with radius 2 inches and height 3 inches has its radius quadrupled. How many times greater is the volume of the larger cylinder than the smaller cylinder?

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) What is \(16 \%\) of \(90 ?\)

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

In \(2008,\) mortgage payments averaged 1514 dollar per month. For the period shown, monthly mortgage payments increased by approximately 20 dollar per year. If this trend continues, how many years after 2008 will mortgage payments average 1714 dollar In which year will this occur?

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

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.

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

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) 3 is \(60 \%\) of what?

In \(2008,\) rent payments averaged 824 dollar per month. For the period shown, monthly rent payments increased by approximately 7 dollar per year. If this trend continues, how many years after 2008 will rent payments average 929 dollar In which year will this occur?

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

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. 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.

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

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) 8 is \(40 \%\) of what?

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

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

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

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