Chapter 2

Express the solution set of each inequality in interval notation and graph the interval. $$x \leq 1$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-21=y-4$$

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

The circumference of a circle is \(16 \pi\) inches. Find the circle's radius and diameter.

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. Five more than four times a number is that number increased by \(35 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(3(x+2)=x+30\)

In Exercises \(1-26,\) solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? $$p=15+\frac{5 d}{11} \text { for } d$$

Express the solution set of each inequality in interval notation and graph the interval. $$x<4$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$7+z=11$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$28=-\frac{7}{2} x$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. If the quotient of three times a number and five is increased by four, the result is \(34 .\) Find the number.

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(3(5-x)=4(2 x+1)\)

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

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

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$18+z=14$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$20=-\frac{5}{8} x$$

Let \(x\) represent the number. Use the given conditions to write an equation. Solve the equation and find the number. If the quotient of three times a number and four is decreased by three, the result is nine. Find the number.

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

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

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$x-3>4$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-6+y=-17$$

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

(GRAPH CAN NOT COPY) According to the American Bureau of Labor Statistics, you will devote 37 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 19. Over your lifetime, how many years will you spend on each of these activities?

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

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

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$x+1<6$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-8+y=-29$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-x=23$$

(GRAPH CAN NOT COPY) According to the American Bureau of Labor Statistics, you -will devote 32 years to sleeping and eating. The number of Jyears sleeping will exceed the number of years eating by 24 \- Over your lifetime, how many years will you spend on each wf these activities?

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(8(y+3)=3(2 y+12)\)

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

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$x+4 \leq 10$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$x+\frac{1}{3}=\frac{7}{3}$$

(GRAPH CAN NOT COPY) The average yearly salary of an American whose final degree is a master's is 49 dollar thousand less than twice that of an American whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn 116 dollar thousand. Find the average yearly salary of Americans with each of these final degrees.

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-47=-y$$

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

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

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$x-5 \geq 2$$

(GRAPH CAN NOT COPY) The average yearly salary of an American whose final degree is a doctorate is 39 dollar thousand less than twice that of an American whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn 126 dollar thousand. Find the average yearly salary of Americans with each of these final degrees.

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$x+\frac{7}{8}=\frac{9}{8}$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-51=-y$$

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(5 x-4(x+9)=2 x-3\)

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

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$y-2<0$$

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 \(629 .\) What are the page numbers?

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$t+\frac{5}{6}=-\frac{7}{12}$$

Solve each equation using the multiplication property of equality. Be sure to check your proposed solutions. $$-\frac{x}{5}=-9$$

Solve equation. Be sure to check your proposed solution by substituting it for the variable in the original equation. \(5(2 x-8)-2=5(x-3)+3\)

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

Use the addition property of inequality to solve each inequality and graph the solution set on a number line. $$y+3 \geq 0$$