Chapter 2

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$6 y=2 y-12$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$r+3.7=8$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) If 4 is decreased to \(1,\) the decrease is what percent of the original number?

Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{y}{3}+\frac{2}{5}=\frac{y}{5}-\frac{2}{5}\)

This year's salary, 42,074 dollar is a \(9 \%\) increase over last year's salary. What was last year's salary?

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$\frac{x}{4}<-1$$

Find the measure of the supplement of each angle. $$93^{\circ}$$

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$8 y=3 y-10$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$x+10.6=-9$$

Use the percent formula, \(A=P B: A\) is \(P\) percent of \(B,\) to solve Exercises \(27-42\) If 8 is decreased to \(6,\) the decrease is what percent of the original number?

Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{y}{12}+\frac{1}{6}=\frac{y}{2}-\frac{1}{4}\)

Including \(6 \%\) sales tax, a car sold for 23,850 dollar Find the price of the car before the tax was added.

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$4 x<20$$

Find the measure of the supplement of each angle. $$90^{\circ}$$

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$3 z=-2 z-15$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-3.7+m=-3.7$$

In Exercises \(43-50,\) solve each equation for \(x .\) $$y=(a+b) x$$

Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{3 x}{4}-3=\frac{x}{2}+2\)

Including \(8 \%\) sales tax, a bed-and-breakfast inn charges 172.80 dollar per night. Find the inn's nightly cost before the tax is added.

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$6 x<18$$

Find the measure of the supplement of each angle. $$179 .5^{\circ}$$

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-5 x=-2 x-12$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$y+\frac{7}{11}=\frac{7}{11}$$

In Exercises \(43-50,\) solve each equation for \(x .\) $$y=(a-b) x$$

Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{3 x}{5}-\frac{2}{5}=\frac{x}{3}+\frac{2}{5}\)

An automobile repair shop charged a customer 448 dollar listing 63 dollar for parts and the remainder for labor. If the cost of labor is 35 dollar per hour, how many hours of labor did it take to repair the car?

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$3 x \geq-21$$

Use the five-step problem-solving strategy to find the measure of the angle described. The angle's measure is \(60^{\circ}\) more than that of its complement.

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-5 x=-2 x-12$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$6 y+3-5 y=14$$

Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{x-3}{5}-1=\frac{x-5}{4}\)

In Exercises \(43-50,\) solve each equation for \(x .\) $$y=(a-b) x+5$$

A repair bill on a sailboat came to 1603 dollar including 32 dollar for parts and the remainder for labor. If the cost of labor is 63 dollar per hour, how many hours of labor did it take to repair the sailboat?

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$7 x \geq-56$$

Use the five-step problem-solving strategy to find the measure of the angle described. The angle's measure is \(78^{\circ}\) less than that of its complement.

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$-7 x=-3 x-8$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$-3 x-5+4 x=9$$

Solve equation and check your proposed solution. Begin your work by rewriting each equation without fractions. \(\frac{x-2}{3}-4=\frac{x+1}{4}\)

In Exercises \(43-50,\) solve each equation for \(x .\) $$y=(a+b) x-8$$

In your own words, describe a step-by-step approach for solving algebraic word problems.

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$-3 x<15$$

Use the five-step problem-solving strategy to find the measure of the angle described. The angle's measure is three times that of its supplement.

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$8 y+4=2 y-5$$

Solve each equation. Using the addition property of equality. Be sure to check your proposed solutions. $$7-5 x+8+2 x+4 x-3=2+3 \cdot 5$$

Solve equation and check your proposed solution in. \(3.6 x=2.9 x+6.3\)

In Exercises \(43-50,\) solve each equation for \(x .\) $$y=c x+d x$$

Many students find solving linear equations much easier than solving algebraic word problems. Discuss some of the reasons why this is the case.

Use the multiplication property of inequality to solve each inequality and graph the solution set on a number line. $$-7 x>21$$

Use the five-step problem-solving strategy to find the measure of the angle described. The angle's measure is \(16^{\circ}\) more than triple that of its supplement.

Solve each equation using both the addition and multiplication properties of equality. Check proposed solutions. $$5 y+6=3 y-6$$