Chapter 2

Graph the solutions of each inequality on a number line. $$x>5$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$\frac{x}{6}=5$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 60 is equal to \(410 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(5 x+3 x-4 x=10+2\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(d=r t\) for \(r\)

Identify the linear equations in one variable. $$x-9=13$$

Graph the solutions of each inequality on a number line. $$x>-3$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$\frac{x}{7}=4$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The sum of a number and 43 is \(107 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(4 x+8 x-2 x=20-15\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(d=r t\) for \(t\)

Identify the linear equations in one variable. $$x-15=20$$

Graph the solutions of each inequality on a number line. $$x<-2$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$\frac{x}{-3}=11$$

In Exercises \(1-20,\) let \(x\) represent the mumber. Use the given conditions to write an equation. Solve the equation and find the mumber. A number decreased by 23 is equal to \(214 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(4 x-9 x+22=3 x+30\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(I=P r t\) for \(P\)

Graph the solutions of each inequality on a number line. $$x<0$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$\frac{x}{-5}=8$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The difference between a number and 17 is \(96 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(3 x+2 x+64=40-7 x\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(I=P r t\) for \(r\)

Graph the solutions of each inequality on a number line. $$x \geq-4$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$5 y=35$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The product of 7 and a number is \(126 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(3 x+6-x=8+3 x-6\)

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$ C=2 \pi r \text { for } r $$

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

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$6 y=42$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The product of 8 and a number is \(272 .\) Find the number

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(3 x+2-x=6+3 x-8\)

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

Graph the solutions of each inequality on a number line. $$x \leq 4.5$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-7 y=63$$

A rectangular swimming pool has a width of 25 feet and en area of 1250 square feet. What is the pool's length?

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The quotient of a number and 19 is \(5 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(4(x+1)=20\)

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

Graph the solutions of each inequality on a number line. $$x \leq 7.5$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-4 y=32$$

A rectangular swimming pool has a width of 35 feet and an area of 2450 square feet. What is the pool's length?

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. The quotient of a number and 14 is \(8 .\) Find the number.

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

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

Graph the solutions of each inequality on a number line. $$-2

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-28=8 z$$

A triangle has a base of 5 feet and an area of 20 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 four and twice a number is \(56 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(7(2 x-1)=42\)

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