Free Printable EOC Practice Test B

1.

Which expression is equivalent to $\frac{\sqrt[]{144}}{\sqrt[]{3}}$ ?

a)

$\frac{\sqrt[]{48}}{3}$

b)

$\frac{4\sqrt[]{3}}{3}$

c)

$4\sqrt[]{3}$

d)

$16\sqrt[]{3}$

2.

Divide. $\frac{24x^7y^5+32x^5y^3}{8x^5y^3}$

a)

$3x^2y^2+4$

b)

$4x^2y^2+4$

c)

$3x^2y^2+4xy$

d)

$3x^2y^2+32x^5y^3$

3.

a)

$\left(4.2,\ 6.4\right)$

b)

$\left(-1.4,\ 0.8\right)$

c)

$\left(-3,\ 4\right)$

d)

$\left(-1,\ 0\right)$

4.

Which is equivalent to $4.5^{2x+2}$ ?

a)

$18^x$

b)

$410.0625^x$

c)

$20.25\left(9\right)^x$

d)

$20.25\left(20.25\right)^x$

5.

When $k=1$ , the graph of g is the graph of f translated

a)

up

b)

down

c)

left

d)

right

6.

When $k=-2$ , the graph of g is the graph of f translated

a)

up

b)

down

c)

left

d)

right

7.

Fareed invests in a bank account that earns interest compounded monthly. The expression $750\left(1.018\right)^{12t}$ can be used to find the account balance in t years. What was Fareed's initial investment?

(a)

8.

Fareed invests in a bank account that earns interest compounded monthly. The expression $750\left(1.018\right)^{12t}$ can be used to find the account balance in t years. What is the monthly interest rate the account earns?

(a)

9.

Which equation represents a line that passes through the point $\left(10,\ 7\right)$ and vis perpendicular to the graph of the equation $y=5x-4$ ?

a)

$y=\frac{1}{5}x+5$

b)

$y=-\frac{1}{5}x+9$

c)

$y=5x-43$

d)

$y=-5x+57$

10.

The amount of money in a savings account increases by 0.15% every month. Write a function for the amount of money in the account, B, after t months with an initial deposit of $50.

a)

$B\left(t\right)=50\left(1.15\right)^t$

b)

$B\left(t\right)=50\left(1.015\right)^t$

c)

$B\left(t\right)=50\left(1.0015\right)^t$

d)

$B\left(t\right)=50\left(1.0015\right)^{12t}$

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

Hank used the Distributive Property to get $5x+8y-2=6-2y$

b)

Hank subtracted 6 from each side to get $5x+8y-8=-2y$

c)

Hank subtracted 8y from each side to get $5x-8=-6y$

d)

Hank divided both sides by -6 to get $y=-\frac{5}{6}x+\frac{4}{3}$

14.

a)

A

b)

B

c)

C

d)

D

15.

a)

line plot

b)

bar chart

c)

scatter plot

d)

joint frequency table

16.

a)

$7x^2-12x-13$

b)

$7x^2-12x+19$

c)

$5x^2-4x-13$

d)

$5x^2+4x+13$

17.

The function $h\left(t\right)=27+8t-16t^2$ models the height h, in feet, of a rock t seconds after it is tossed from a dock. What is the vertex of the graph of the function?

(a)

18.

The function $h\left(t\right)=27+8t-16t^2$ models the height h, in feet, of a rock t seconds after it is tossed from a dock. What does the x-coordinate of the vertex represent?

a)

the time it takes for the rock to reach its maximum height

b)

the height of the dock

c)

the time it take for the rock to hit the ground

d)

the rock's maximum height

19.

The function $h\left(t\right)=27+8t-16t^2$ models the height h, in feet, of a rock t seconds after it is tossed from a dock. What does the y-coordinate of the vertex represent?

a)

the time it takes for the rock to hit the ground

b)

the rock's maximum height

c)

the height of the dock

d)

the time it takes for the rock to reach its maximum height

20.

a)

$0<t<3.5$

b)

$0<t<5.5$

c)

$0<t<7.5$

d)

all real numbers

21.

a)

A

b)

B

c)

C

d)

D

22.

The population of a town is modeled by the function $f\left(x\right)=713\left(1-0.002\right)^x$ , where x is the time in years. What type of change does this function represent?

a)

linear growth

b)

linear decay

c)

exponential growth

d)

exponential decay

23.

a)

A

b)

B

c)

C

d)

D

24.

Tina purchased a new refrigerator on a payment plan. Four months after purchasing the refrigerator, the balance was $630. Six months after purchasing the refrigerator, the balance was $520. Write an equation the models the balance y after it months.

(a)

25.

The equation $y=10x-22$ models the amount of money y, in dollars, the Raina makes babysitting for x hours, after buying some games to takes on ger babysitting jobs. How many hours does Raina need to babysit to make $28.

(a)

26.

a)

A

b)

B

c)

C

d)

D

27.

Which graph models the function $f\left(x\right)=3^x$ ?

a)

b)

c)

d)

28.

a)

A

b)

B

c)

C

d)

D

e)

E

29.

The number of viewers that watch a live stream increases by 275 every 5 minutes. What type of function best represents the growth of the number of viewers?

a)

linear

b)

quadratic

c)

exponential

d)

cannot be determined

30.

a)

-4, -5

b)

4, -5

c)

-5, 1

d)

5, -1

31.

Which graph models the function $f\left(x\right)=3\left|x-2\right|$ ?

a)

b)

c)

d)

32.

Amelia invests $750 in an account that earns 1.8% interest compounded monthly. Why can this investment be modeled with an exponential function?

It grows by the same ________ each month.

a)

amount

b)

percent

33.

Which equation best models a line of fit for the data?

a)

$y=25x+10$

b)

$y=20x-10$

c)

$y=-5x+50$

d)

$y=5x-1$

34.

The slope of the line of fit means that for every additional hour that students do chores, they earn an additional (a) dollars, on average.

35.

a)

A

b)

B

c)

C

d)

D

36.

Solve $0=\left|6x+3\right|-15$ . What are the solutions?

a)

3

b)

-3

c)

-2

d)

2

37.

Diane is purchasing jewelry from an artist to sell at er shop. She wants at least 6 pieces of jewelry. Each pair earrings costs $25 and each necklace costs $35. Diane wants to spend no more than $450. Which system of inequalities can Diane use to find the number of pieces of jewelry she can purchase?

a)

$x+y\ge6;\ 450\ge25x+35y$

b)

$x+y\le6;\ 450\ge25x+35y$

c)

$x+y\ge450;\ 6\ge25x+35y$

d)

$x+y\le450;\ 6\le25x+35y$

38.

a)

$y<3x+5$

b)

$y\le3x+5$

c)

$y>3x+5$

d)

$y\ge3x+5$

39.

a)

linear

b)

quadratic

c)

exponential

d)

cannot be determined

40.

Evaluate $f\left(x\right)=-\frac{x}{5}+6$ , when $x=45$ .

(a)

41.

A DJ calculates her fee using the function $f\left(x\right)=100x+500$ . If x represents the number of hours she performs, how many hours can the DJ perform at an event for $950?

(a)

42.

Consider the linear functions.

$f(x)=-\frac{6}{5}x+18$

$g(x)=\frac{5}{9}x+15$

$h(x)=\frac{7}{6}x-10$

Which has the greatest slope?

a)

f

b)

g

c)

h

43.

Which graph shows the solution of the inequality $y<\frac{1}{2}x-7$ ?

a)

b)

c)

d)

44.

a)

A

b)

B

c)

C

d)

D

45.

Evaluate $f\left(x\right)=-4x^3+15$ , when $x=3$ .

(a)

46.

(a)

47.

The data set 5, 8, 3, 5, 1, 2, 4, 4, 2, 3 represents the number of people who live in a sample of households. What type of data does the data set represent?

a)

categorical univariate

b)

categorical bivariate

c)

numerical univariate

d)

numerical bivariate

48.

Is the model a good fit for the data? Explain.

a)

No; the data are too far from the line of fit.

b)

No; the data are too close the line of fit.

c)

No; the residuals on the graph show a pattern.

d)

No; the residuals on the graph do not show a pattern.

49.

a)

The data show a positive correlation.

b)

The data show no correlation.

c)

The data how a negative correlation.

d)

The data show causation

e)

The data do not show causation.

50.

a)

A

b)

B

c)

C

d)

D

EOC Practice Test B

Total questions: 50

Worksheet time: 4hrs 10mins

Similar Resources on Wayground