Assessment (Representation of Rational Function)

 $It\ is\ in\ the\ form\ of\ f\left(x\right)=\frac{p\left(x\right)}{q\left(x\right)}\ where\ p\left(x\right)\ and\ q\left(x\right)\ are\ polynomial\ functions\ and\ q\left(x\right)\ is\ not\ equal\ to\ zero.$  

• rational equality

• rational inequality

• rational function

• none of these

Martha has won 19 out of 28 tennis matches this season, which equation models suggest how many more games she needs to win to average 75% wins over loses?

•  $\frac{19}{28+x}=0.75$  
  

•  $\frac{19+x}{28+x}=0.75$  

•  $\frac{19}{28+x}=75$  

•  $\frac{19+x}{18+x}=75$  

Tags

CCSS.HSA.CED.A.1

Martha has won 19 out of 28 tennis matches this season. In order to get a college tennis scholarship, Martha needs to bring her winning average to 80%. What is the number of matches she needs to win given that she already won 19 out of 28?

• 3

• 4

• 17

• 22

Tags

CCSS.6.RP.A.3C

Joel is working on his chemistry project and he has 300mL of 12% acid solution. If he needed to decrease the acidity of the solution, which of the following is correct function that would show the new acidity of the solution given x mL of water added?

• $f\left(x\right)=\frac{36}{300+x}$

• $f\left(x\right)=\frac{0.36}{300+x}$

• $f\left(x\right)=\frac{12}{300+x}$

• $f\left(x\right)=\frac{0.12}{300+x}$

Tags

CCSS.HSF.LE.A.2

Joel is working on his chemistry project and he has 300mL of 12% acid solution. If Joel decided to decrease the acidity of the solution by adding 15 more than at every interval, which table of values is correct?

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Joel is working on his chemistry project and he has 300mL of 12% acid solution. Which graph shows the decrease of acidity in Joel's solution?

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 $Which\ of\ the\ following\ is\ the\ correct\ table\ of\ values\ of\ the\ rational\ function\ f\left(x\right)=\frac{x}{x+1}?$  

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Tags

CCSS.HSF-IF.C.7D

When is the graph of the function undefined in a certain value of x?

• When the value of numerator is zero

• When the value of denominator is zero

• When the value of the function is zero

• None of the above

Tags

CCSS.HSF-IF.C.7D

• $y=\frac{x+1}{x+3}$

• $y=\frac{x+3}{x+1}$

• $y=\frac{x-3}{x+1}$

• $y=\frac{x-1}{x+3}$

Tags

CCSS.HSF-IF.C.7D

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Tags

CCSS.8.EE.B.5