Math 1 March 4

Math 1

March 4, 2021

Example 1

A cold water faucet can fill the bath tub in 12 minutes, and a hot water faucet can fill the bath tub in 18 minutes. The drain can empty the bath tub in 24 minutes. If both faucets are on and the drain is open, how long would it take to fill the bath tub?

Example 2

One printing press can produce a newpaper in 6 hours running alone. A second press could produce the paper in 9 hours running alone. A third press could produce the paper in 12 hours working alone. A late breaking headline caused the newspaper to change paper later than usual. If all three presses are runm how long will it take to produce the newspaper?

Example 3

Mike can dust the house in 6 hours. If Jessica helps, it takes them 3 hours. Without help, how long would it take Jessica to finish this job?

Example 4

Joan and Fred were able to clean the attic in 8 hours together. It takes Fred 9 hours to clean the attic alone. Without help, how long would it take Joan to clean the attic?

Example 5

An experienced carpenter can frame a house twice as fast an apprentice. Working together, it takes the carpenters 2 days. How long would it take the apprenctice working alone?

Example 6

 $7b^2\left(b^2-b+2\right)$  

Example 7

 $\left(3v+3\right)\left(2v-8\right)$  

Example 8

 $\left(3r+7\right)\left(4r-3\right)$  

Example 9

 $\left(8p-4\right)\left(3p+3\right)$  

Example 10

 $\left(x+5\right)\left(4x-5\right)$  

Multiple Choice

Quiz 17 Review Question: Go look up what you answered, keep it the same if it was correct.

Which system of inequalities is graphed below?

• $y\ge-3x+4$
  $2x-y<1$
  

• $y\ge-3x+4$
  $2x-y>1$
  

• $y\le-3x+4$
  $2x-y>1$
  

• $y\le-3x+4$
  $2x-y<1$
  

Fill in the Blanks