Quiz about EOC Milestone Review 2019

Question 1

The formula for density d is d=m/v , , where m is mass and v is volume. If mass is measured in kilograms and volume is measured in cubic meters, what is the unit for density?

Accepted Answer

kg/m3

Answer

kg/m2

Answer

g/m3

Answer

m3/kg

Question 2

A rectangle has a length of 12 meters and a width of 400 centimeters. What is the perimeter, in cm, of the rectangle?

Accepted Answer

3200 cm

Answer

824 cm

Answer

1600 cm

Answer

2000 cm

Question 3

Consider the expression of 3n² + n + 2. What is the coefficient of n?

Accepted Answer

1

Answer

3

Answer

2

Answer

6

Question 4

The expression s² is used to calculate the area of a square, where s is the side length of the square. What does the expression (8x)² represent?

Accepted Answer

the area of a square with a side length of 8x

Answer

the area of a square with a side length of 8

Answer

the area of a square with a side length of 16

Answer

the area of a square with a side length of 16x

Question 5

The dimensions of a rectangle are shown. What is the perimeter, in units, of the rectangle?

Accepted Answer

16x + 20

Answer

8x + 10

Answer

15x2 + 16

Answer

15x² + 46x + 16

Question 6

The dimensions of a patio, in feet, are shown below. What is the area of the patio, in square feet?

Accepted Answer

8x² - 10x - 3

Answer

8x2 - 3

Answer

6x - 2

Answer

12x - 4

Question 7

A model of a house is shown. What is the perimeter, in units, of the model?

Accepted Answer

50x + 11 units

Answer

32x + 12 units

Answer

46x + 25 units

Answer

64x + 24 units

Question 8

Which of these is NOT a function?

Accepted Answer

Option D is correct

Answer

(5, 3), (6, 4), (7, 3), (8, 4)

Answer

B.

Answer

y = 3x2

Question 9

Which set of data points could be modeled by a decreasing linear function?

Accepted Answer

{(0, 51), (1, 42), (2, 33), (3, 25), (4, 16)}

Answer

{(0, 0), (1, 8), (2, 15), (3, 22), (4, 30)}

Answer

(0, 5), (1, 6), (2, 10), (3, 16), (4, 28)}

Answer

{(0, 64), (1, 60), (2, 52), (3, 39), (4, 22)}

Question 10

This equation can be used to find h, the number of hours it takes Flo and Bryan to mow their lawn. h/3 + h/6 =1 How many hours will it take them to mow their lawn?

Accepted Answer

2

Answer

6

Answer

3

Answer

1

Question 11

For what values of x is the inequality true?

Accepted Answer

x > 1

Answer

x < 1

Answer

x < 5

Answer

x > 5

Question 12

Which is the result of combining like terms?

Accepted Answer

step 2

Answer

step 1

Answer

step 3

Answer

step 4

Question 13

Which function represents the sequence?

Accepted Answer

f(n) = 7n - 4

Answer

f(n) = n + 3

Answer

f(n) = 3n + 7

Answer

f(n) = n + 7

Question 14

Given f(x) = 2x - 1 , find f(7)

Accepted Answer

13

Answer

4

Answer

12

Answer

1

Question 15

Consider this pattern. Which function represents the sequence that represents the pattern?

Accepted Answer

a_n = a_n-1 + 3

Answer

a_n = a_n-1 - 3

Answer

a_n = 3a_n-1 - 3

Answer

a_n = 3a_n-1 +3

Question 16

Juan and Patti decided to see who could read the most books in a month. They began to keep track after Patti had already read 5 books that month. This graph shows the number of books Patti read for the next 10 days. If Juan has read no books before the fourth day of the month and he reads at the same rate as Patti, how many books will he have read by day 12?

Accepted Answer

20

Answer

5

Answer

10

Answer

15

Question 17

Find the solution

y = 2x - 4

x = y + 1

Accepted Answer

(3, 2)

Answer

(2, 3)

Answer

(1, 4)

Answer

(2, 8)

Question 18

How many solutions are in the following system:

3x - 3y = 3

x - y = 1

Accepted Answer

infinite solutions

Answer

no solution

Answer

one solution

Answer

two solutions

Question 19

How many solutions are in the following system:

3x - 3y = 7

x - y = 1

Accepted Answer

no solution

Answer

infinite solutions

Answer

one solution

Answer

two solutions

Question 20

Rebecca has five coins worth 65 cents in her pocket. If she only has quarters and nickels, how many quarters does she have?

Accepted Answer

2

Answer

6

Answer

4

Answer

3

Question 21

Two lines are graphed on this coordinate plane. Which point appears to be a solution of the equations of both lines?

Accepted Answer

(3, 1)

Answer

(0, -2)

Answer

(0, 4)

Answer

(2, 0)

Question 22

Which expression is equivalent to 121x² - 64y² ?

Accepted Answer

(11x + 8y)(11x - 8y)

Answer

(11x - 16y)(11x + 16y)

Answer

(11x - 16y)(11x - 16y)

Answer

(11x + 8y)(11x + 8y)

Question 23

What are the zeros of the function represented by the quadratic expression 2x² + x - 3 ?

Accepted Answer

x = -3/2, x = 1

Answer

x = -2/3, x = 1

Answer

x = -1, x = 2/3

Answer

x = -1 and x = -3/2

Question 24

What is the vertex of the graph f(x) = x² + 10x - 9?

Accepted Answer

(-5,-34)

Answer

(5,66)

Answer

(5, -9)

Answer

(-5, -9)

Question 25

The equation x² - 70x + 600 represents a company's profit for selling x items. For which number(s) of items sold is the company's profit equal to $0?

Accepted Answer

10 and 60 items

Answer

0 items

Answer

35 items

Answer

20 and 30 items

Question 26

What are the solutions to the equation 2x²- 2x - 12 = 0?

Accepted Answer

x = -2, x = 3

Answer

x = -4, x = 3

Answer

x = -3, x = 4

Answer

x = -6, x = 2

Question 27

What are the solutions to the equation x² - 5x = 14?

Accepted Answer

x = - 2, x = 7

Answer

x = -7, x = -2

Answer

x = -14, x = -1

Answer

x = -1, x = 14

Question 28

Which statement BEST describes how the graph of g(x) = -3x² compares to the graph of f(x) = x² ?

Accepted Answer

The graph of g(x) is a vertical stretch of f(x) by a factor of 3 and a reflection across the x-axis.

Answer

The graph of g(x) is a vertical stretch of f(x) by a factor of 3.

Answer

The graph of g(x) is a reflection of f(x) across the x-axis.

Answer

The graph of g(x) is a vertical shrink of f(x) by a factor of

and a reflection across the x-axis.

Question 29

A flying disk is thrown into the air from a height of 25 feet at time t = 0. The function that models this situation is h(t) = -16t² + 75t + 25 , where t is measured in seconds and h is the height in feet. What values of t best describe the times when the disk is flying in the air?

Accepted Answer

0 < t < 5

Answer

0 < t < 25

Answer

all real numbers

Answer

all positive integers

Question 30

What is the end behavior of the graph of f(x) = -0.25x² - 2x + 1?

Accepted Answer

As x increases, f(x) decreases.

As x decreases, f(x) decreases.

Answer

As x increases, f(x) increases.

As x decreases, f(x) decreases.

Answer

As x increases, f(x) increases.

As x decreases, f(x) increases.

Answer

As x increases, f(x) decreases.

As x decreases, f(x) increases

Question 31

Use this graph to answer the question.

Which function is shown in the graph?

Accepted Answer

f(x) = x² - 3x - 10

Answer

f(x) = x² + 3x - 10

Answer

f(x) = x² + x - 12

Answer

f(x) = x² - 5x - 8

Question 32

Factor the expression 4x⁵- 8.

Accepted Answer

4(x⁵ - 2)

Answer

2(x⁵ - 2)

Answer

4(x⁴ - 2)

Answer

4x(x⁵ - 2)

Question 33

Which statement BEST describes the graph of f(x + 6)?

Accepted Answer

The graph of f(x) is shifted left 6 units.

Answer

The graph of f(x) is shifted up 6 units.

Answer

The graph of f(x) is shifted right 6 units.

Answer

The graph of f(x) is shifted down 6 units.

Question 34

An object is thrown in the air with an initial velocity of 5 m/s from a height of 9 m. The equation h(t) = -4.9x² + 5t + 9 models the height of the object in meters after t seconds. How many seconds does it take for the object to hit the ground?

Accepted Answer

1.96 seconds

Answer

0.94 seconds

Answer

1.77 seconds

Answer

9.0 seconds

Question 35

The student council makes an initial investment in a savings account that earns interest. The value of the savings account after m months is determined by the function v(m) = 2,000(1.005)^m. The student council also has a checking account which has a value after m months that is determined by the function c(m) = 250 + 100m. What is the interest rate of the savings account?

Accepted Answer

0.5%

Answer

1.005%

Answer

0.005%

Answer

5%

Question 36

Which function represents this sequence?

Accepted Answer

f(x) = (6)3^n-1

Answer

f(x) = 3^n-1

Answer

f(x) = 6^n-1

Answer

f(x) = (3)6^n-1

Question 37

Given f(x) = 2(3)^x, find f(7).

Accepted Answer

4374

Answer

2304

Answer

5320

Answer

42

Question 38

Which function is modeled in this table?

Accepted Answer

f(x) = 1000(0.80)^x

Answer

f(x) = 1000(0.8)

Answer

f(x) = 1000(0.2)

Answer

f(x) = 1000(0.20)^x

Question 39

Look at the graph. Which equation represents this graph?

Accepted Answer

y = 2^{(x - 1)} + 2

Answer

y = 2^(x+1) - 2

Answer

y = 2^(x+2) - 1

Answer

y = 2^{(x - 2)} + 1

Question 40

The points (0, 1), (1, 5), (2, 25), (3, 125) are on the graph of a function. Which equation represents that function?

Accepted Answer

f(x) = 5x

Answer

f(x) = 2x

Answer

f(x) = 3x

Answer

f(x) = 4x

Question 41

Consider this pattern. Which function represents the sequence that represents the pattern?

Accepted Answer

a_n= (4)^n-1

Answer

an= 4n

Answer

a_n= (a_n)(4)^n-1

Answer

a_n= (a_n)⁴

Question 42

If f(12) = 100(0.50)¹², which expression gives f(x)?

Accepted Answer

f(x) = 100(0.50)^x

Answer

f(x) = 12^x

Answer

f(x) = 100^x

Answer

f(x) = 100(x)¹²

Question 43

A population of squirrels doubles every year. Initially, there were 5 squirrels. A biologist studying the squirrels created a function to model their population growth: P(t) = 5^(2t), where t is the time in years. The graph of the function is shown.

What is the range of the function?

Accepted Answer

any whole number greater than 0

Answer

any real number

Answer

any whole number greater than 5

Answer

any whole number greater than or equal to 5

Question 44

Which set of data could be BEST modeled by a quadratic function?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 45

What is the MOST likely correlation coefficient, r, between the variables represented in this scatter plot?

Accepted Answer

-0.9

Answer

-0.5

Answer

0.5

Answer

0.9

Question 46

A reading teacher recorded the number of pages read in an hour by each of her students. The numbers are shown below.

44, 49, 39, 43, 50, 44, 45, 49, 51

For this data, which summary statistic is NOT correct?

Accepted Answer

The lower quartile is 44.

Answer

The minimum is 39.

Answer

The median is 45.

Answer

The maximum is 51.

Question 47

A science teacher recorded the pulse rates for each of the students in her classes after the students had climbed a set of stairs. She displayed the results, by class, using the box plots shown.Which class generally had the highest pulse rates after climbing the stairs?

Accepted Answer

Class 4

Answer

Class 1

Answer

Class 2

Answer

Class 3

Question 48

This histogram shows the frequency distribution of duration times for 107 consecutive eruptions of the Old Faithful geyser. The duration of an eruption is the length of time, in minutes, from the beginning of the spewing of water until it stops.

Accepted Answer

Bimodal

Answer

Symmetric

Answer

Skewed Left

Answer

Skewed Right

Question 49

What percentage of the females in the school are in the chorus?

Accepted Answer

29%

Answer

12%

Answer

42%

Answer

23%

Question 50

Which graph MOST clearly displays a set of data for which a linear function is the model of best fit?

Accepted Answer

Option C is correct

Answer

A.

Answer

B.

Answer

D.

Question 51

Which BEST describes the correlation of the two variables shown in the scatter plot?

Accepted Answer

weak negative

Answer

weak positive

Answer

strong positive

Answer

strong negative

Question 52

Which of these statements is an example of causation?

Accepted Answer

After operating costs are paid at a toy shop, as more toys are sold, more money is made.

Answer

When the weather becomes warmer, more meat is purchased at the supermarket.

Answer

More people go to the mall when students go back to school.

Answer

The greater the number of new television shows, the fewer the number of moviegoers.

EOC Milestone Review 2019

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