Quiz about Practice EOC Review

Question 1

The population of frogs in a marsh can be approximated by $$f(x)=0.0004\left(2\right)^x$$ , where x is the number of decades since the population was first surveyed and f(x) is the population in thousands. Which statement best describes the population?

Accepted Answer

The frog population is growing exponentially.

Answer

The frog population is declining exponentially.

Answer

The frog population is growing at a constant rate.

Answer

The frog population is declining at a constant rate.

Question 2

Which equation represents 2a - 3b = 6, solved for a?

Accepted Answer

$$a=\frac{\left(6+3b\right)}{2}$$

Answer

$$a=12+6b$$

Answer

$$a=\frac{\left(2b-6\right)}{3}$$

Answer

$$a=\frac{\left(6-2b\right)}{3}$$

Question 3

What type of function is $$f(x)=x^2-x+1$$ ?

Accepted Answer

quadratic

Answer

linear

Answer

exponential

Answer

square root

Question 4

Which polynomial expressions are prime? Select all that apply.

Accepted Answer

$$x^2-81$$

Accepted Answer

$$x^2+121$$

Accepted Answer

$$x^2-2x+15$$

Answer

$$x^2-3x+6$$

Answer

$$x^2-x-42$$

Question 5

Which quadratic function is shown in the graph?

Accepted Answer

$$y=3x^2-2x+8$$

Answer

$$y=1/3x^2+3x-8$$

Answer

$$y=x^2-2x-24$$

Answer

$$y=-x^2+2x-24$$

Question 6

Jamal opened a savings account with $1500 that earns 1.2% simple interest monthly. What kind of function can be used to model the balance of the account x months after Jamal opened it?

Accepted Answer

linear

Answer

constant

Answer

quadratic

Answer

exponential

Question 7

Which function has the greatest slope?

Accepted Answer

f(x) = 3x

Answer

g(x) = x + 9

Answer

p(x) = 7

Answer

q(x) = x

Question 8

A scientist fit a line to a set of data relating the amount of a pool chemical added to water x, in fluid ounces, and the percent of change in the level of phosphates in the water, y. The graph shows the residuals for the line of fit. Which best describes the correlation between the amount of the chemical added and the change in the level of phosphates?

Accepted Answer

There is no correlation

Answer

There is a moderate correlation

Answer

There is a strong correlation

Answer

The data are exactly linear

Question 9

A scientist fit a line to a set of data relating the amount of a pool chemical added to water x, in fluid ounces, and the percent of change in the level of phosphates in the water, y. The graph shows the residuals for the line of fit. Which best describes the causation in this situation?

Accepted Answer

The amount of chemical used causes a change in the phosphate levels

Answer

The amount of chemical used causes a change in the residuals

Answer

The phosphate levels cause a change in the amount of chemical used

Answer

There is no causation

Question 10

The median annual household income in Mason City was $21,000 in 1980 and has increased by 1.7% each year. Which function models the median annual household income, A(x), for Mason City x years after 1980?

Accepted Answer

$$A(x)=21,000(1.017)^x$$

Answer

$$A(x)=21,000(0.017)^x$$

Answer

$$A(x)=21,000(0.983)^x$$

Answer

$$A(x)=21,000(1.7)^x$$

Question 11

What is the solution to the system of equations?

4x - 2y = 10

y = 2x - 5

Accepted Answer

D) infinitely many solutions

Answer

A) (0, -5)

Answer

B) (1, -3)

Answer

C) no solution

Question 12

Consider $$f(x)=x^2-1$$ and g(x), which is a linear function that passes through the points (0, 5) and (-1, 5). Which statement accurately compares the intervals over which each function is positive or negative?

Accepted Answer

B) f(x) is negative for x-values between -1 and 1, and g(x) is never negative.

Answer

A) f(x) and g(x) are both positive for all x-values.

Answer

C) f(x) is positive for all x-values, and g(x) is only positive for x > 0.

Answer

D) f(x) is positive for x-values less than -1 or greater than 1, and g(x) is always negative.

Question 13

For a science project, Marvin studied the effect of fertilizer on plant growth. After collecting data about the amount of fertilizer used and the growth of the plants, he analyzed the data and found that there was a strong positive correlation between the two variables. Which statements could describe Marvin's data? Select all that apply.

Accepted Answer

The line of best fit has a positive slope.

Accepted Answer

As the amount of fertilizer increases, the growth of the plants increases.

Accepted Answer

The data follow a linear pattern when plotted on a scatter plot.

Answer

The line of best fit has a negative slope.

Answer

The line of best fit has a slope of 0.

Question 14

Marilyn has already driven 120 miles towards her vacation destination, and the total distance from her home to her destination is 970 miles. She is driving an average rate of 60 miles per hour. Which equation can be used to find the number of hours t remaining in Marilyn's drive?

Accepted Answer

$$970=120+60t$$

Answer

$$970=60\left(120+t\right)$$

Answer

$$970=120-60t$$

Answer

$$120=970+60t$$

Question 15

Ahmed has $25 to spend on snacks for his friends and himself at the baseball game. Drinks cost $2, and bags of popcorn cost $4. Which inequality represents the number of drinks d and the number of bags of popcorn p that Ahmed can purchase?

Accepted Answer

$$2d+4p\le25$$

Answer

$$d+p\le25$$

Answer

$$6\left(d+p\right)\le25$$

Answer

$$\frac{d}{2}+\frac{p}{4}\le25$$

Question 16

Which situation describes exponential decay?

Accepted Answer

The value of a piece of machinery decreases by 19% every year

Answer

The value of a piece of machinery decreases by $5000 every year

Answer

The value of a piece of machinery decreases by $100 after the first year, $200 after the second year, $300 after the third year, $400 after the fourth year, and so on

Answer

The value of a piece of machinery decreases by $100 after the first year, $200 after the second year, $400 after the third year, $800 after the fourth year, and so on

Question 17

Classify the data as univariate or bivariate. For each scenario, choose whether it is univariate or bivariate: The weights of male deer in a particular state

Accepted Answer

Univariate

Answer

Bivariate

Question 18

Classify the data as univariate or bivariate. For each scenario, choose whether it is univariate or bivariate:

the percentage of people in a town who voted for or against a school bond issue

Accepted Answer

univariate

Answer

bivariate

Question 19

Classify the data as univariate or bivariate. For each scenario, choose whether it is univariate or bivariate: the number of cars sold by color and manufacturer

Accepted Answer

bivariate

Answer

univariate

Question 20

Classify the data as univariate or bivariate. For each scenario, choose whether it is univariate or bivariate: the number of players on a soccer team that are first year participants, second year participants, or have more than two years of experience,

Accepted Answer

univariate

Answer

bivariate

Question 21

Classify the data as univariate or bivariate. For each scenario, choose whether it is univariate or bivariate: the number of subscribers to an online music service, categorized by zip code and age bracket.

Accepted Answer

bivariate

Answer

univariate

Question 22

The box plot shows the leg lengths, in millimeters, of a sample of insects. What is the range of lengths of the insects?

Accepted Answer

41 millimeters

Answer

18 millimeters

Answer

38 millimeters

Answer

36 millimeters

Question 23

A local bank offers a savings account that pays monthly compounded interest. The amount in the account can be modeled by A = P(1 + 0.002)t, where P is the principal deposit and t is the time in months. What is the effective annual interest rate of the account?

Accepted Answer

2.4%

Answer

0.002%

Answer

2%

Answer

0.024%

Question 24

Talia throws a ball upward while standing on a platform. What type of function models the height of the ball over time?

Accepted Answer

quadratic

Answer

linear

Answer

exponential

Answer

Not enough information is given to determine a function type.

Question 25

A recent market survey indicated that 37% of the citizens in town would support a new coffee shop. The survey has a margin of error of 1.7%, and the population of the town is 36,170. Based on the survey, which statement about the number of people who would support for a new coffee shop is true?

Accepted Answer

The number of people who would support a new coffee shop is between 12,768 and 13,998.

Answer

At least 13,383 people would support a new coffee shop.

Answer

At most 19,532 people would support a new coffee shop.

Answer

The number of people who would support a new coffee shop is between 6872 and 19,532.

Question 26

The function ( y = 144 - 3x ) represents the length in inches of a rope after x knots have been tied in it. Which statement accurately interprets the y-intercept of this function?

Accepted Answer

A) The y-intercept is 144, which means that the rope is 144 inches long before any knots are tied in it.

Answer

B) The y-intercept is 144, which means that 144 knots can be tied in the rope.

Answer

C) The y-intercept is 48, which means that the rope is 48 inches long before any knots are tied in it.

Answer

D) The y-intercept is 48, which means that 48 knots can be tied in the rope.

Question 27

During an experiment, Alysia takes the temperature of a solution every minute after it is taken off the heat source. She records the data in the table shown. Which statements are true? Select all that apply.

Accepted Answer

E) The second differences are equal.

Accepted Answer

A) The function representing the data is linear.

Answer

C) The function representing the data is exponential.

Answer

B) The function representing the data is quadratic.

Answer

D) The first differences are equal.

Question 28

The balance of an account t years after it is opened can be modeled by A(t) = 600(1.04)^t. What is the average rate of change in the balance from t = 3 to t = 10?

Accepted Answer

$21.32 per year

Answer

$7.00 per year

Answer

$28.81 per year

Answer

$30.46 per year

Question 29

Which equations have a slope of -2/3 and pass through (1, -4)? Select all that apply.

Accepted Answer

y + 4 = -2/3(x - 1)

Accepted Answer

y - 4 = -2/3(x + 1)

Question 30

Which expression is equivalent to ((125/25)^(1/2))?

Accepted Answer

5

Answer

(1/25)

Answer

(1/5)

Answer

125

Question 31

Which quadratic function has a graph that contains the points (2, 0), (1, 6), and (4, 0)?

Accepted Answer

y = (x - 2)(x - 4)

Answer

y = (x + 4)(x + 4)

Answer

y = 2(x - 2)(x - 4)

Answer

y = 2(x + 4)(x - 4)

Question 32

Line A and line B are perpendicular. Line A passes through the points (3, -2) and (6, 7), and line B passes through the point (3, -12). Which statement about the y-intercepts is true?

Accepted Answer

There is not enough information to compare the y-intercepts.

Answer

The y-intercept of line A is greater than the y-intercept of line B.

Answer

The y-intercept of line A is less than the y-intercept of line B.

Answer

The y-intercept of line A is equal to the y-intercept of line B.

Question 33

Which interpretation of the vertex of the graph is correct?

Accepted Answer

The maximum area of the fenced region is 60 square feet and occurs when the width of the fenced region is 3600 feet.

Answer

The maximum area of the fenced region is 3600 square feet and occurs when the width of the fenced region is 60 feet.

Answer

The area of the fenced region is 0 square feet when the width of the fenced region is either 0 feet or 120 feet.

Answer

The area of the fenced region is 120 square feet when the width of the region is 0 feet.

Question 34

What is the solution of -2/5n + 8 > 6?

Accepted Answer

n > -5

Answer

n < -5

Answer

n < 5

Answer

n > 5

Question 35

What is the meaning of the x-intercept for the function y = 20 - 0.4x which determines how much money the manager has left after purchasing x pounds of flour for the week?

Accepted Answer

If the manager purchases 50 pounds of flour for the week, the bakery will have $20 left in the flour budget

Answer

If the manager purchases 20 pounds of flour for the week, the bakery will have $0 left in the flour budget

Answer

If the manager purchases 0 pounds of flour for the week, the bakery will have $20 left in the flour budget

Answer

If the manager purchases 0 pounds of flour for the week, the bakery will have $50 left in the flour budget

Question 36

Which statements about Object A and Object B are true? Select all that apply.

Accepted Answer

Object A is in the air longer than Object B

Accepted Answer

Both objects have the same maximum height

Accepted Answer

Object A will hit the ground after Object B

Accepted Answer

The initial height of Object A is greater than the initial height of Object B

Answer

Both objects start from ground level

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