Math 1 March 2 2021

Math 1

March 2 2021

Example 1

For Mary it take 3 hours to spread mulch. However, Keith takes 9 hours to spread mulch. If working together, how long would they take?

Example 2

One pipe can fill a swimming pool in 10 hours and another pipe can drain the pool in 15 hours. How long will it take to fill the pool if both pipes were left open?

Example 3

Jack and Jill are going up the hill to pull weeds. Jack can pull all the weeds by himself in 8 hours; if Jill helps him they can pull the same amount of weeds in 5 hours. How long would it take Jill to pull the weeds working alone?

Example 4

Jessica can vaccum the house in 12 hours. If Sara helps, it takes them 3 hours. Without help, how long would it take Sara to vacuum the house?

Example 5

Brian, Mark, and Jeff are painting a house. Working together they can paint the house in 6 hours. Working alone Brian can paint the house in 15 hours and Jeff can paint the house in 20 hours. How long would it take Mark to paint the house working alone?

Example 6

 $3x\left(8x^2-x-8\right)$  

Example 7

 $5v\left(6v^2+8v-8\right)$  

Example 8

 $2p\left(8p^2-5p+7\right)$  

Example 9

 $2m^2\left(7m^2-4m-3\right)$  

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Multiple Choice

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

Josh sells cookies and donuts for a school fundraiser. He wants to sell at least 20 items Cookies sell for $1.25 Donuts sell for $1.75. He wants to collect at least $25. Which system of inequalities can be used to determine the number of cookies, x, and the number of donuts, y, Josh can sell to meet his goal?

• $x+y\ge20$
  $1.25x+1.75y\le25$
  

• $x+y\le20$
  $1.25x+1.75y\ge25$
  

• $x+y\ge20$
  $1.25x+1.75y\ge25$
  

• $x+y\le20$
  $1.25x+1.75y\le25$
  

Fill in the Blanks