Chapter 2

Graph the solutions of each inequality on a number line. $$-3 \leq x<6$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-36=8 z$$

A triangle has a base of 6 feet and an area of 30 square feet. Find the triangle's height.

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The sum of five and three times a number is \(59 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(4(2 x-3)=32\)

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

Graph the solutions of each inequality on a number line. $$-1

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-18=-3 z$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$x-4=19$$

A rectangle has a width of 44 centimeters and a perimeter of 188 centimeters. What is the rectangle's length?

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Seven subtracted from five times a number is \(178 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(38=30-2(x-1)\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$T=D+p m \text { for } D$$

Graph the solutions of each inequality on a number line. $$-2 \leq x \leq 0$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-54=-9 z$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$y-5=-18$$

A rectangle has a width of 46 centimeters and a perimeter of 208 centimeters. What is the rectangle's length?

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Eight subtracted from six times a number is \(298 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(20=44-8(2-x)\)

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

Express the solution set of each inequality in interval notation and graph the interval. $$x \leq 3$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-8 x=6$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$z+8=-12$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 5 is two times the number. Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(2(4 z+3)-8=46\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$A=\frac{1}{2} b h \text { for } b$$

Express the solution set of each inequality in interval notation and graph the interval. $$x \leq 5$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-8 x=4$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$z+13=-15$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 12 is four times the number. Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(3(3 z+5)-7=89\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$A=\frac{1}{2} b h \text { for } h$$

Express the solution set of each inequality in interval notation and graph the interval. $$x>\frac{5}{2}$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$17 y=0$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-2=x+14$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Twice the sum of four and a number is \(36 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(6 x-(3 x+10)=14\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$M=\frac{n}{5} \text { for } n$$

Express the solution set of each inequality in interval notation and graph the interval. $$x>\frac{7}{2}$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-16 y=0$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-13=x+11$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Three times the sum of five and a number is \(48 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(5 x-(2 x+14)=10\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$M=\frac{A}{740} \operatorname{for} A$$

Express the solution set of each inequality in interval notation and graph the interval. $$x \leq 0$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-17=y-5$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$\frac{2}{3} y=12$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Nine times a number is 30 more than three times that number. Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(5(2 x+1)=12 x-3\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$\frac{c}{2}+80=2 F \text { for } c$$