Chapter 2

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.

Graph the solutions of each inequality on a number line. \(x>5\)

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

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. $$x-9=13$$

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

A number increased by 60 is equal to \(410 .\) Find the number.The sum of a number and 43 is \(107 .\) Find the number.

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

Graph the solutions of each inequality on a number line. \(x>-3\)

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(d=r t\) for \(t\)

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

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number decreased by 23 is equal to \(214 .\) Find the number.

Graph the solutions of each inequality on a number line. \(x<-2\)

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(I=P r t\) for \(P\)

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

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.

Graph the solutions of each inequality on a number line. \(x<0\)

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

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

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.

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

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

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

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

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.

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

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(C=\pi d\) for \(d\)

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

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.

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

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

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(E=m c^{2}\) for \(m\)

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

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.

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

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

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(V=\pi r^{2} h\) for \(h\)

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

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.

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

A triangle has a base of 5 feet and an area of 20 square feet. Find the triangle's height.

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

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

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

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.