EOC Practice part 2

A grill at a barbecue restaurant will be used to cook sausage links that are 2 lb each and briskets that are 6 lb each. No more than 120 lb of sausage links and briskets will be cooked on the grill.

Which inequality represents all possible combinations of x, the number of sausage links that will be cooked on the grill, and y, the number of briskets that will also be cooked?

• $6x+2y<120$

• $2x+6y\le120$

• $6x+2y>120$

• $2x+6y\ge120$

Answer explanation

Which expression is equivalent to  $\left(10+7r-r^2\right)+\left(-6r^2-18+5r\right)$  ?

•  $-7r^2+2r+8$  

•  $7r^2+12r+8$  

•  $-7r^2+12r-8$  

•  $7r^2+2r-8$  

Answer explanation

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CCSS.HSA.APR.A.1

Which graph best represents the solution set of y > 3x - 4 ?

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Answer explanation

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CCSS.HSA.REI.D.12

A bank account earning annual compound interest was opened, and no additional deposits or withdrawals were made after the initial deposit. The balance in the account after x years can be modeled by  $b\left(x\right)=850\left(1.025\right)^x$  .
Which statement is the best interpretation of one of the values in this function?

• The initial balance of the account decreases at a rate of 97.5% each year.

• The balance in the account increases at a rate of 2.5% each year.

• The initial balance of the account was $1,025.

• The balance in the account at the end of one year is $850.

Answer explanation

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CCSS.HSF.LE.B.5

A company collected data for the number of text messages sent and received using a text-message application since October 2011. The table shows the number of text messages sent and received in billions over time. The data can be modeled by a quadratic function.

Which function best models the data?

• $n\left(t\right)=-0.002t^2+0.55t+5.02$

• $n\left(t\right)=0.072t^2-0.15t+2.73$

• $n\left(t\right)=-0.002t^2+5.02$

• $n\left(t\right)=0.072t^2+2.73$

Answer explanation

The graph of a linear function is shown on the grid.

What is the rate of change of y with respect to x for this function?

Answer explanation

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Which graph best represents  $y=-x^2+6x-1$  ?

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Answer explanation

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CCSS.HSF-IF.C.7A

A company advertises on a website. A worker tracked the number of visits to the website and the number of clicks on the advertisement. The table shows the data for several days. A linear function can be used to model the data.

Based on the table, what is the best prediction of the number of clicks on the advertisement if 1,500 people visit the website?

• 77

• 137

• 83

• 105

Answer explanation

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CCSS.HSF.IF.A.2

The graph of a linear function is shown on the grid.

Which equation is best represented by this graph?

• $y+2=\frac{7}{5}\left(x+7\right)$

• $y-2=\frac{7}{5}\left(x-7\right)$

• $y+2=\frac{5}{7}\left(x+7\right)$

• $y-2=\frac{5}{7}\left(x-7\right)$

Answer explanation

Which expression is equivalent to  $\left(xy^{-6}\right)^2$  for all values x and y where the expression is defined?

•  $xy^{-36}$  

•  $xy^{36}$  

•  $x^2y^{-12}$  

•  $x^2y^{12}$  

Answer explanation