Chapter 8

Solve each inequality. Then graph the solution on a number line. $$p+(-5)>-3$$

Solve each inequality and check your solution. Then graph the solution on a number line. $$0.5 a-1.4 \leq 2.1$$

Graph each inequality on a number line. $$w \leq 8$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$6>\frac{x}{-7}$$

Solve equation. Check your solution. \(3 c+4.5=7.2-6 c\)

Solve each inequality. Then graph the solution on a number line. $$-3+z>2$$

Solve each inequality and check your solution. Then graph the solution on a number line. $$\frac{1}{2}(6-c)>5$$

Graph each inequality on a number line. $$n<11$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$\frac{r}{-2}<-2$$

Solve equation. Check your solution. \(12.4 y+14=6 y-2\)

Solve each inequality. Then graph the solution on a number line. $$-13 \geq x-8$$

Solve each inequality and check your solution. Then graph the solution on a number line. $$\frac{m}{2}+9 \geq 5$$

Solve each equation. Check your solution. $$\frac{1}{2}(2 n-5)=4 n-1$$

Graph each inequality on a number line. $$x<5$$

Andrea swims 40 meters per minute, and she wants to swim at least 2000 meters this morning. Write and solve an inequality to find how long she should swim.

Solve equation. Check your solution. \(4.3 n-1.6=2.3 n+5.2\)

Solve each inequality. Then graph the solution on a number line. $$-32 \geq a+(-5)$$

Four times a number less 6 is greater than two times the same number plus \(8 .\) For what number or numbers is this true?

Solve each equation. Check your solution. $$y-2=\frac{1}{3}(y+6)$$

Graph each inequality on a number line. $$t \geq 9$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-5 \geq-\frac{c}{4.5}$$

Solve equation. Check your solution. \(0.4 x=2 x+1.2\)

Solve each inequality. Then graph the solution on a number line. $$3 \leq \frac{1}{2}+a$$

Solve each equation. Check your solution. $$-3(4 b-10)=\frac{1}{2}(24 b+60)$$

Graph each inequality on a number line. $$b \geq 8$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-19>\frac{y}{-0.3}$$

Solve equation. Check your solution. \(\frac{1}{3} b+8=\frac{1}{2} b-4\)

A new real estate agent receives a monthly salary of \(\$ 1500\) plus a \(3.5 \%\) commission on every home sold. For what amount of monthly sales will the agent earn at least \(\$ 5000 ?\)

Solve each equation. Check your solution. $$\frac{3}{4} a+4=\frac{1}{4}(3 a+16)$$

Graph each inequality on a number line. $$x>-4$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-\frac{1}{3} x \geq-9$$

One cellular phone carrier charges \(\$ 29.75\) a month plus \(\$ 0.15\) a minute for international calls. Another carrier charges \(\$ 19.95\) a month and \(\$ 0.29\) a minute for international calls. For how many minutes is the cost of the plans the same?

Solve each inequality. Then graph the solution on a number line. $$-\frac{3}{4}

Carl is having a mechanic fix his car. The mechanic said that the job was going to cost at least \(\$ 375\) for parts and labor. If the cost of the parts was \(\$ 150,\) and the mechanic charges \(\$ 60\) an hour, how many hours is the mechanic planning on working on the car?

Solve each equation. Check your solution. $$0.4 d=2 d+1.24$$

Graph each inequality on a number line. $$n \geq-3$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$-36<-\frac{1}{2} b$$

Three times the quantity \(y+7\) is equal to four times the quantity \(y-2 .\) What value of \(y\) makes the sentence true?

TRANSPORTATION A certain minivan has a maximum carrying capacity of 1100 pounds. If the luggage weighs 120 pounds, what is the maximum weight allowable for passengers?

Nate has scores of \(85,91,89,\) and 93 on four tests. What is the least number of points he can get on the fifth test to have an average of at least \(90 ?\)

Solve each equation. Check your solution. $$\frac{a-6}{12}=\frac{a-2}{4}$$

Graph each inequality on a number line. $$x \leq-5$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$\frac{y}{-3}<-7$$

Write an example of an equation with variables on each side. State the steps you would use to isolate the variable.

MARINE BIOLOGY Manatees can weigh up to 1000 pounds and are generally no more than 10 feet long. Suppose a manatee is currently 6.25 feet long. Write and solve an inequality to find how much longer the manatee could grow.

The booster club at Jefferson High School sells football programs for \(\$ 1\) each. The costs to make the programs are \(\$ 60\) for page layout plus \(\$ 0.20\) for printing each program. If they print 400 programs, how many programs must the Club sell to make at least \(\$ 200\) profit?

Graph each inequality on a number line. $$x<-2$$

Solve each inequality. Check your solution. Then graph the solution on a number line. $$\frac{k}{-2}<9$$

An empty bucket is put under two faucets. If one faucet is turned on alone, the bucket fills in 6 minutes. If the other faucet is turned on alone, the bucket fills in 4 minutes. If both are turned on, how many seconds will it take to fill the bucket?

DECORATING A gallon of paint covers about 350 square feet. A painter estimates the area to paint by multiplying the combined wall lengths by the height and subtracting 15 square feet for each window or door. Suppose a rectangular room measures 15 feet long by 12 feet wide. The room is 9 feet high and has two windows and two doors. How many gallons of paint are needed to paint the room using two coats of paint?