Chapter 2

Solve each equation. See Examples 3 through \(5 .\) $$ x+\frac{7}{6}=2 x-\frac{7}{6} $$

Solve. For each exercise, a table is given for you to complete and use to write an equation that models the situation. Community Coffee Company wants a new flavor of Cajun coffee. How many pounds of coffee worth \(\$ 7\) a pound should be added to 14 pounds of coffee worth \(\$ 4\) a pound to get a mixture worth \(\$ 5\) a pound?

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ 8 y+2-6 y=3+y-10 $$

The iconic NASDAQ sign in New York's Times Square has a width of 84 feet and an area of 10,080 square feet. Find the height (or length) of the sign.

Solve each inequality. Graph the solution set. $$ -y \geq 0 $$

Solve each equation. See Examples 3 through \(5 .\) $$ \frac{5}{2} x-1=x+\frac{1}{4} $$

Solve. For each exercise, a table is given for you to complete and use to write an equation that models the situation. Planter's Peanut Company wants to mix 20 pounds of peanuts worth \(\$ 3\) a pound with cashews worth \(\$ 5\) a pound in order to make an experimental mix worth \(\$ 3.50\) a pound. How many pounds of cashews should be added to the peanuts?

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ 4 p-11-p=2+2 p-20 $$

The world's largest sign for Coca-Cola is located in Arica, Chile. The rectangular sign has a length of 400 feet and an area of 52,400 square feet. Find the width of the sign.

Solve each inequality. Graph the solution set. $$ \frac{3}{4} y \geq-2 $$

Solve each equation. See Examples 3 through \(5 .\) $$ 0.12(y-6)+0.06 y=0.08 y-0.7 $$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. See Examples 1 through 6. Find \(23 \%\) of 20.

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ -3(x-4)=-4 x $$

Solve each inequality. Graph the solution set. $$ \frac{5}{6} x \leq-8 $$

Solve each equation. See Examples 3 through \(5 .\) $$ 0.60(z-300)+0.05 z=0.70 z-205 $$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. Find \(140 \%\) of 86 .

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ -2(x-1)=-3 x $$

Solve each inequality. Graph the solution set. $$ -0.6 y<-1.8 $$

Solve each equation. See Examples 6 and \(7 .\) $$ 4(3 x+2)=12 x+8 $$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. The number 40 is \(80 \%\) of what number?

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ \frac{3}{8} x-\frac{1}{6}=-\frac{5}{8} x-\frac{2}{3} $$

Solve each equation. Check each solution. See Examples 7 and 8 . \(\frac{2}{3} y-11=-9\)

Solve each inequality. Graph the solution set. $$ -0.3 x>-2.4 $$

Solve each equation. See Examples 6 and \(7 .\) $$ 14 x+7=7(2 x+1) $$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. The number 56.25 is \(45 \%\) of what number?

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ \frac{2}{5} x-\frac{1}{12}=-\frac{3}{5} x-\frac{3}{4} $$

The left and right page numbers of an open book are two consecutive integers whose sum is 469 . Find these page numbers.

Solve each inequality. Write each answer using solution set notation. $$ -8

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. The number 144 is what percent of \(480 ?\)

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ 2(x-4)=x+3 $$

Convert Nome, Alaska's \(14^{\circ} \mathrm{F}\) high temperature to Celsius.

The room numbers of two adjacent classrooms are two consecutive even numbers. If their sum is 654 , find the classroom numbers.

Solve each inequality. Write each answer using solution set notation. $$ -11>x+4 $$

Solve. If needed, round money amounts to two decimal places and all other amounts to one decimal place. The number 42 is what percent of \(35 ?\)

Convert Paris, France's low temperature of \(-5^{\circ} \mathrm{C}\) to Fahrenheit.

To make an international telephone call, you need the code for the country you are calling. The codes for Belgium, France, and Spain are three consecutive integers whose sum is \(99 .\) Find the code for each country. (Source: The World Almanac and Book of Facts)

Solve each inequality. Write each answer using solution set notation. $$ 7(x+1)-6 x \geq-4 $$

Solve each equation. See Examples 6 and \(7 .\) $$ 3 x-7=3(x+1) $$

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ 3(n-5)-(6-2 n)=4 n $$

Solve each equation. See Examples 9 and \(10 .\) \(8 x+20=6 x+18\)

The \(\mathrm{X}-30\) is a "space plane" that skims the edge of space at 4000 miles per hour. Neglecting altitude, if the circumference of Earth is approximately 25,000 miles, how long will it take for the \(\mathrm{X}-30\) to travel around Earth?

The code to unlock a student's combination lock happens to be three consecutive odd integers whose sum is 51 . Find the integers.

Solve each inequality. Write each answer using solution set notation. $$ 10(x+2)-9 x \leq-1 $$

Solve each equation. See Examples 6 and \(7 .\) $$ 2(x-5)=2 x+10 $$

Solve each equation. Don't forget to first simplify each side of the equation, if possible. Check each solution. See Examples 5 through 7 . $$ 5(3+z)-(8 z+9)=-4 z $$

Solve each equation. See Examples 9 and \(10 .\) \(11 x+13=9 x+9\)

In the United States, a notable hang glider flight was a 303 -mile, \(8 \frac{1}{2}\) -hour flight from New Mexico to Kansas. What was the average rate during this flight?

A 17 -foot piece of string is cut into two pieces so that the longer piece is 2 feet longer than twice the length of the shorter piece. Find the lengths of both pieces.

Solve each inequality. Write each answer using solution set notation. $$ 4 x>1 $$

Solve each equation. See Examples 6 and \(7 .\) $$ -2(6 x-5)+4=-12 x+14 $$