91Ó°ÊÓ

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 \(\$ 5000 ?\)

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

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 \(90 ?\)

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

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

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. $$x<-2$$

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?