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?

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It takes Jaidee nine hours to pick forty bushels of apples. Jessica can pick the same amount in 14 hours. Find how long it would take them if they worked together. Round to the nearest hundredth.

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?

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Working alone, Shayna can tar a roof in 14 hours. One day her friend Julio helped her and it only took 5.48 hours. Find how long it would take Julio to do it 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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Quiz 17 Review Question: Go look up what you answered, keep it the same if it was correct.

What is the approximate value of x in the figure below? Round to the nearest tenth.

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?

• $x+y\ge20$
  $1.25x+1.75y\le25$
  

• $x+y\le20$
  $1.25x+1.75y\ge25$
  

• $x+y\ge20$
  $1.25x+1.75y\ge25$
  

• $x+y\le20$
  $1.25x+1.75y\le25$
  

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

Triangle LMN is shown. What is the area of the triangle?

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Simplify. Your answer should only contain positive exponents. Use ^ for exponents. Write answers in alphabetical order. 

 $\left(\frac{x^{-4}}{2yx^{-1}\times x^4}\right)^{-1}$  

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A metal alloy weighing 3 oz. and containing 2% nickel is melted and mixed with 5 oz. of a different alloy which contains 10% nickel. What percent of the resulting alloy is nickel?

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Solve for x.
NS = no solution
I = infinite solution

 $-1+4\left(1+x\right)=-5\left(x+1\right)+8$  

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Linda bought a rectangular shaped table. The top of the table has a width of 56 inches. The diagonal of the table was 64 inches. What is the approximate area of the table? Round to the nearest whole number.

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Beth sells 20 lbs. bags of mixed nuts that contain 49% peanuts. To make her product she adds peanuts to Brand A's mixed nuts which contain 15% peanuts. How much of each does she combine?

(Brand A, peanuts)

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Find the distance between each pair of points. Round your answer to the nearest tenth, if necessary.

 $\left(-3,-2\right),\left(3,-7\right)$  

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Write the slope-intercept form of the equation of the line through the given points.

 $\left(-2,1\right),\left(-1,5\right)$  

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What is the x value of the x intercept of the linear equation below?

 $y=4x+9$