EOC Practice part 2 - Assessment

1.

Multiple Choice

30 sec

1 pt

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

2.

Multiple Choice

30 sec

1 pt

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

3.

Multiple Choice

30 sec

1 pt

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

Answer explanation

4.

Multiple Choice

30 sec

1 pt

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

5.

Multiple Choice

30 sec

1 pt

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

6.

Fill in the Blank

30 sec

1 pt

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

7.

Multiple Choice

30 sec

1 pt

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

Answer explanation

8.

Multiple Choice

30 sec

1 pt

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

9.

Multiple Choice

30 sec

1 pt

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

10.

Multiple Choice

30 sec

1 pt

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

11.

Multiple Choice

30 sec

1 pt

A college student completed some courses worth 3 credits and some courses worth 4 credits. The student earned a total of 59 credits after completing 18 courses.

How many courses worth 3 credits did the student complete?

13

5

20

39

Answer explanation

12.

Multiple Choice

30 sec

1 pt

The graph of linear function f passes through the point (1,-9) and has a slope of -3.

What is the zero of f?

2

4

-6

-2

Answer explanation

13.

Fill in the Blank

30 sec

1 pt

What is the value of the y-intercept of the graph of $h\left(x\right)=29\left(5.2\right)^x$ ?

Answer explanation

14.

Multiple Choice

30 sec

1 pt

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

Which function is best represented by this graph?

$h\left(x\right)=x^2-3x-9$

$h\left(x\right)=x^2+3x-9$

$h\left(x\right)=x^2-6x$

$h\left(x\right)=x^2+6x$

Answer explanation

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