Chapter 2

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A=\frac{1}{2} b h\) for \(b\)

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

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

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

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A=\frac{1}{2} b h\) for \(h\)

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

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

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(M=\frac{n}{5}\) for \(n\)

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

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

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

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(M=\frac{n}{5}\) for \(n\)

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

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

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

Use the formulas for the area and circumference of a circle in Table 2.4 on page 170 to solve Exercises \(13-18\). In Exercises \(13-16,\) find the area and circumference of each circle. Express answers in terms of \(\pi .\) Then round to the nearest whole number. The circumference of a circle is \(14 \pi\) inches. Find the circle's a adius and diameter.

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

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(\frac{c}{2}+80=2 F\) for \(c\)

Solve each equation in using the multiplication property of equality. Be sure to check your proposed $$\frac{3}{4} y=15$$

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