Quiz about MCS Top 80 Math 1 EOC Questions - Number Quantity and Algebra

Question 1

Which expression is equivalent to $$(2x-1)(4x+3)-(9x+1)(2x-1)$$ ?

Accepted Answer

$$-10x^2 + 9x - 2$$

Answer

$$-10x^2 + 21x - 4$$

Answer

$$-10x^2 - x - 2$$

Answer

$$-10x^2 - 5x - 4$$

Question 2

The area of a trapezoid can be found by using the expression $$\frac{1}{2}h\ (b_1+b_2)$$ . A trapezoid has a height of 12 units and bases of $$(2x+3)\ $$ and $$(3x+1)$$ . Which expression represents the area of the trapezoid?

Accepted Answer

30x + 24

Answer

5x + 4

Answer

6x + 3

Answer

60x + 48

Question 3

The expression $$16t^2 + 32t + 64$$ models the height of a rocket, in feet, t seconds after it was launched. What does the 64 represent?

Accepted Answer

the height of the rocket when it was launched

Answer

the maximum height of the rocket

Answer

the height of the rocket after 64 seconds

Answer

the speed of the rocket when it was launched

Question 4

Which expression is equivalent to $$\left(\frac{3x^4y^{-5}m^7n^{10}}{x^2y^3m^5n^{-2}}\right)^2$$ ?

Accepted Answer

$$\frac{9x^{12}m^4n^{24}}{y^{18}}$$

Answer

$$\frac{9x^4m^2n^{10}}{y^2}$$

Answer

$$\frac{9x^8y^{14}m^4n^{24}}{y^{11}}$$

Answer

$$\frac{9m^{70}}{x^{16}y^{40}n^{40}}$$

Question 5

This graph shows function $$g(x)$$ . What is the best choice for factors of $$g(x)$$ ?

Accepted Answer

(9x - 3) and (6x + 4)

Answer

(9x + 3) and (6x - 4)

Answer

(3x + 9) and (4x - 6)

Answer

(3x - 9) and (4x + 6)

Question 6

The expression $$1,000\ (1.05)^x$$ represents the amount of money William has in his account after x years. What does $$1.05$$ represent?

Accepted Answer

The amount in the account increases by 5% each year.

Answer

The amount in the account increases by $105 each year.

Answer

The amount in the account increases by $1.05 each year.

Answer

The amount in the account increased by 0.05% each year.

Question 7

Martha simplified the expression $$5(x^2−3x+2)−(3x^2−10x+6)$$ , putting it into the form $$ax^2+bx+c$$ . What is the value of $$a−b$$ ?

Accepted Answer

D. 7

Answer

A. 2

Answer

B. 4

Answer

C. 5

Question 8

Rodney purchases a car for $17,400. The value of the car depreciates by 12% per year. What is the approximate value of the car after 8 years?

Accepted Answer

$6,258

Answer

$5,380

Answer

$11,142

Answer

$17,304

Question 9

Which graph represents the function f(x) = (x - 2)(x + 3)?

Accepted Answer

Question 10

What is the solution to the equation ? $$\frac{\left(2(x+4\right)}{4}+\frac{6x-10}{2}=12$$

Accepted Answer

30/7

Answer

63/2

Answer

10

Answer

6

Question 11

What are the solutions to the equation $$6x^2 - 7x = 3$$ ?

Accepted Answer

3/2, -1/3

Answer

-3/2, -1/3

Answer

-3/2, 1/3

Answer

3/2, 1/3

Question 12

A line passes through the origin and the point (1, 3). Another line passes through the points (-3, 1) and (1, -7). What is the point of intersection?

Accepted Answer

(-1, -3)

Answer

(0, 0)

Answer

(-3, -1)

Answer

(-3, -3)

Question 13

A system of equations is shown. $$2x+6=y$$ $$4x-2y=6$$ Which statement is true about the solution to the system?

Accepted Answer

There are no solutions because these lines are parallel to each other.

Answer

There are infinitely many solutions because these lines are parallel to each other.

Answer

There are infinitely many solutions because these lines are the same line.

Answer

There are no solutions because these lines are the same line.

Question 14

Which system of inequalities is graphed below?

Accepted Answer

$$y

$$y\ge-x$$

Answer

$$y>x+2$$

$$y\le-x$$

Answer

$$y\ge x+2$$

$$y<-x$$

Answer

$$y\le x+2$$

$$y>-x$$

Question 15

When does the value of $$f(x) = (1/2)^x$$ equal the value of $$g(x) = 2x + 8$$ ?

Accepted Answer

$$x=-2$$

Answer

$$x=-1$$

Answer

$$x=2$$

Answer

$$x=4$$

Question 16

What is the distance between the zeros of the function defined by $$3x^2 - 5x - 2$$ ?

Accepted Answer

$$\frac{11}{3}$$

Answer

$$\frac{7}{3}$$

Answer

$$\frac{5}{3}$$

Answer

$$\frac{1}{3}$$

Question 17

Which is the graph of $$−2x−3y\ge9$$ ?

Accepted Answer

Question 18

A bike trail is drawn on a coordinate system. Each end of the trail is an x-intercept. The height of the trail is modeled by the function $$h(x) = -0.1x^2 - 0.3x + 2.8$$ , where x is the horizontal distance in kilometers. How many meters is the horizontal distance of the trail?

Accepted Answer

11,000 meters

Answer

11 meters

Answer

110 meters

Answer

1,100 meters

Question 19

Sakari saves money each week for a vacation. The expression $$85+20x$$ represents the amount of money, in dollars, Sakari has saved after x weeks. What does the constant term represent?

Accepted Answer

the initial amount Sakari saved for vacation

Answer

the total amount Sakari has saved for vacation

Answer

the amount Sakari still needs to save for vacation

Answer

the number of weeks Sakari has been saving for vacation

Question 20

This shows a sequence.

$$[-19,-10,-1,8,...]$$

Which function can be used to determine the nth term?

Accepted Answer

$$f(n)=9n-28$$

Answer

$$f(n)=9n-19$$

Answer

$$f(n)=-9n-19$$

Answer

$$f(n)=-9n-28$$

Question 21

Becky earned $$\$350$$ the first week of her new job, $$\$392.5$$ the second week, and $$\$435$$ the third week. Her pay continues to increase each week, following this pattern. Which formula can be used to determine Becky's earnings for the nth week?

Accepted Answer

$$a_n=42.5n+307.5$$

Answer

$$a_n=42.5n+350$$

Answer

$$a_n=85n+307.5$$

Answer

$$a_n=85n+350$$

Question 22

The population, f(x), of a city x years after 1995 is shown in this table. Which approximate exponential function models the data set?

Accepted Answer

f(x) = $$5,500(1.05)^x$$

Answer

f(x) = $$1.05(5,500)^x$$

Answer

f(x) = 5,500 + 345x

Answer

f(x) = 345 + 5,500x

Question 23

This shows two functions.

$$f(x)=4x-2$$

$$g(x)=4x-2$$

Which function represents $$h(x)=f(x)\ •\ g(x)$$ ?

Accepted Answer

$$h(x) = 16x^2 - 16x + 4$$

Answer

$$h(x) = 16x^2 - 16x - 4$$

Answer

$$h(x) = 16x^2 - 4$$

Answer

$$h(x) = 16x^2 + 4$$

Question 24

The number of ants in an area triples each day. Which function could represent the number of ants after t days?

Accepted Answer

$$f(t) = 125(3)^t$$

Answer

$$f(t) = 125t^3$$

Answer

f(t) = 125(3t)

Answer

f(t) = $$125(3t^2)$$

Question 25

Two functions are shown. f(x) = $$6(4)^x$$ g(x) = $$7(4)^x$$ Which function represents h(x) = $$f(x) + g(x)$$ ?

Accepted Answer

$$h(x) = 13(4)^x$$

Answer

$$h(x) = 13(8)^x$$

Answer

h(x) = 13 + 8^x

Answer

$$h(x) = 13 + 4^x$$

Question 26

Lorraine purchased a car for $22,000. It decreased in value by 13% each year. Which equation represents the value of the car, V(t), after t years?

Accepted Answer

V(t) = $$22,000(0.87)^t$$

Answer

V(t) = $$0.87(22,000)^t$$

Answer

$$V(t) = 1.13(22,000)^t$$

Answer

$$V(t) = 22,000(1.13)^t$$

Question 27

This shows two functions.

$$𝑓(𝑥)=−4𝑥^2+9𝑥−8$$

$$𝑔(𝑥)=6𝑥^2−10𝑥−12$$

Which function represents $$h(x)=f(x)-g(x)$$ ?

Accepted Answer

$$h(x) = -10x^2 + 19x + 4$$

Answer

$$h(x) = 2x^2 - x - 20$$

Answer

$$h(x) = 2x^2 - 19x + 4$$

Answer

$$h(x) = -10x^2 - x - 20$$

Question 28

A lab grows single-celled organisms in a culture dish. This table lists the number of organisms in the dish, based on the number of hours of growth.

Which exponential function represents the number of organisms in the culture dish after x hours?

Accepted Answer

f(x) = $$1(4)^x$$

Answer

f(x) = 1(2)^x

Answer

f(x) = $$2(2)^x$$

Answer

f(x) = $$4(1)^x$$

Question 29

The function g(x) is given. $$g(x) = -3x^2 - 6x + 24$$ Which statement accurately describes the function?

Accepted Answer

The axis of symmetry of the function is x = -1.

Answer

The function has a zero of -2.

Answer

The vertex of the function is (1, 27).

Answer

The minimum of the function is at (-1, 27).

Question 30

This shows a function. g(x) = $$2x^2 + 3x - 9$$ Which choice shows a factor of g(x)?

Accepted Answer

$$2x-3$$

Answer

$$3x-2$$

Answer

$$3x+2$$

Answer

$$2x+3$$

Question 31

This shows a function. h(x) = $$-3x^2 + 15x + 72$$ What is the value of the larger zero?

Accepted Answer

8

Answer

3

Answer

15

Answer

18

Question 32

The function $$F(t) = t^2 - 8t + 16$$ models the height, F(t), in feet, of a bird t seconds after it flies off the roof of a building. After how many seconds did the bird reach the ground?

Accepted Answer

4 seconds

Answer

2 seconds

Answer

8 seconds

Answer

16 seconds

Question 33

What is the x-value of the minimum of the function $$f\left(x\right)\ =\ (x-1)^2-4$$ ?

Accepted Answer

1

Answer

-4

Answer

-1

Answer

4

Question 34

Fireworks were launched from the roof of a building. The function $$f(x) = -16x^2 + 64x + 80$$ models the height of the fireworks after x seconds. After how many seconds did the fireworks reach their maximum height?

Accepted Answer

2

Answer

1

Answer

4

Answer

5

Question 35

The profit from selling tickets to a musical can be modeled by the function $$P(x) = -100x^2 + 2,400x - 8,000$$ , where x is the price per ticket, in dollars. What ticket price will maximize the profit?

Accepted Answer

$12

Answer

$4

Answer

$16

Answer

$20

Question 36

Which is an equation of the function graphed below?

Accepted Answer

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

Answer

$$y = 2x^2 - 4x + 2$$

Answer

$$y = 2x^2 - 4x - 2$$

Answer

$$y = 2x^2 + 2$$

Question 37

Alisha compared the zeros of $$f\left(x\right)=2x^2-x-10$$ to the zeros of the function graphed below. What is the value of the smallest zero of the two functions?

Accepted Answer

-4

Answer

-10

Answer

-2

Answer

1

Question 38

How far is the y-intercept of the function that fits the values in the table below from the y-intercept of the function graphed below?

Accepted Answer

2 units

Answer

1 unit

Answer

5 units

Answer

9 units

Question 39

A population of frogs increases by 3% each month. Which type of function models the population of frogs after n months?

Accepted Answer

exponential

Answer

constant

Answer

linear

Answer

quadratic

Question 40

For what positive integer value of x does the value of g(x) = $$2^x$$ exceed the value of f(x) = $$3x + 15$$ ?

Accepted Answer

5

Answer

4

Answer

6

Answer

7

Question 41

Which situation can be modeled by an exponential function?

Accepted Answer

Leslie puts 5% of her salary into a retirement account where the interest is compounded monthly.

Answer

Leslie saves $100 each month.

Answer

Leslie donates 3% of her salary to a charity each month.

Answer

Leslie pays $275 per month toward the balance owed on her car.

Question 42

Savanna puts $1,000 into an account that earns 0.1% interest each month. She makes no more deposits or withdrawals. Which type of function best describes the amount in the account after x months, and why?

Accepted Answer

an exponential function, because she earns 0.1% each month

Answer

an exponential function, because she does not make any more deposits or withdrawals

Answer

a linear function, because she does not make any more deposits or withdrawals

Answer

a linear function, because she earns 0.1% each month

Question 43

The function $$f\left(x\right)=250(0.5)^x$$ represents the amount of medicine, in mg, remaining in the body after x hours. What does 250 represent?

Accepted Answer

the initial amount of medicine

Answer

the final amount of medicine

Answer

the amount of medicine after 250 hours

Answer

the amount of medicine decreasing by 250 mg each hour

Question 44

The diameter of a circle has endpoints $$S\ (2,7)$$ and $$U\ (4,-3)$$ . What are the coordinates of the center of the circle?

Accepted Answer

$$(3,\ 2)$$

Answer

$$(-2.5,\ 3.5)$$

Answer

$$(-1,\ 5)$$

Answer

$$(4.5,\ 0.5)$$

Question 45

What is the midpoint of the segment that has endpoints $$X\ (-5,-9)$$ and $$Y\ (1,6)$$ ?

Accepted Answer

$$(-2,-1.5)$$

Answer

$$\left(-3,\ -7.5\right)$$

Answer

$$(2,\ 1.5)$$

Answer

$$(3,\ 7.5)$$

Question 46

What is the midpoint of the shortest side of a triangle with vertices (1, 1), (1, 5), and (7, 1)?

Accepted Answer

(1, 3)

Answer

(1, 2)

Answer

(4, 1)

Answer

(4, 3)

Question 47

What is the midpoint of the line segment shown in the graph below?

Accepted Answer

$$(2,\ 2)$$

Answer

$$(-12,\ 8)$$

Answer

$$(-6,\ 4)$$

Answer

$$(4,\ 4)$$

Question 48

Lines pass through the sets of given points. Which choice shows perpendicular lines?

Accepted Answer

Line M: (4, 3) and (8, 6) Line N: (13, 20) and (16, 16)

Answer

Line M: (4, 6) and (8, 12) Line N: (8, 5) and (11, 7)

Answer

Line M: (4, 3) and (18, 6) Line N: (9, 11) and (12, 15)

Answer

Line M: (-2, 4) and (2, -10) Line N: (6, 5) and (3, 11)

Question 49

Line m passes through the points (6, 10) and (4, 6). Which equation represents a line that is perpendicular to line m?

Accepted Answer

$$y=-\frac{1}{2}x+9$$

Answer

$$y=-2x-2$$

Answer

$$y=\frac{1}{2}x+11$$

Answer

$$y=2x+14$$

Question 50

Which line is parallel to the line on the graph?

Accepted Answer

$$4x+2y=10$$

Answer

$$-2x+y=5$$

Answer

$$x-2y=6$$

Answer

$$4x-2y=4$$

Question 51

What is the equation of the line that is parallel to $$6x-2y=4+6y$$ and passes through the point $$(8,-16)$$ ?

Accepted Answer

$$y=\frac{3}{4}x-22$$

Answer

$$y=-\frac{4}{3}x-\frac{16}{3}$$

Answer

$$y=-\frac{3}{4}x-16$$

Answer

$$y=\frac{4}{3}x-\frac{64}{3}$$

Question 52

Patrick graphed a square with an area of 50 square units on a coordinate plane. One of the vertices of the square is located at (5, 10). Which could be the other three vertices of the square?

Accepted Answer

$$(10,5),\ (5,0),\ (0,5)$$

Answer

$$(8,14),\ (12,14),\ (9,10)$$

Answer

$$(8,10),\ (5,0),\ (8,0)$$

Answer

$$(10,6),\ (5,1),\ (0,6)$$

Question 53

A computer was purchased new in 2015. This table shows its value since 2015.
The data set was modeled with the linear best-fit model. Using the correlation coefficient, what was the relationship between the variables?

Accepted Answer

strong negative relationship

Answer

strong positive relationship

Answer

weak negative relationship

Answer

weak positive relationship

Question 54

The table below the average price of a new smart phone x years after 2012.

The data set was modeled with the linear best-fit function. What is the meaning of the slope of the function?

Accepted Answer

The cost of a new smart phone increased by approximately $56 each year.

Answer

The cost of a new smart phone increased by approximately $311 each year.

Answer

The initial cost of a new smart phone was approximately $311.

Answer

The initial cost of a new smart phone was approximately $56.

Question 55

Kelly surveys several students, asking for the number of hours they spend daily on social media and for their grade point average. She models the data with the linear best-fit function. Which correlation coefficient would indicate the strongest relationship between the variables?

Accepted Answer

-0.9

Answer

0.4

Answer

0.2

Answer

-0.5

Question 56

A store recorded its yearly sales, in millions of dollars, starting with the year 2013 in the table. The data set is modeled with the linear best-fit function. What is the approximate correlation coefficient?

Accepted Answer

0.96

Answer

0.93

Answer

0.95

Answer

0.97

Question 57

Edgar recorded the total amount of money he had saved at the end of each month. He models the data set with the linear best-fit function. Approximately how much money should Edgar expect to have saved after 10 months?

Accepted Answer

$289

Answer

$56

Answer

$210

Answer

$378

Question 58

This graph shows a scatterplot. The data set is modeled with the linear best-fit function. Which correlation coefficient best represents the data set?

Accepted Answer

-1

Answer

0

Answer

-0.24

Answer

-0.96

Question 59

Mr. Chan asked students from two classes the number of hours of sleep they got each night. Which statement is correct?

Accepted Answer

Class 2 has the larger mean and standard deviation.

Answer

Class 1 has the larger mean and standard deviation.

Answer

Class 1 has the larger mean, but the smaller standard deviation.

Answer

Class 2 has the larger mean, but the smaller standard deviation.

Question 60

This table shows the value of several accounts. The outlier is removed from the data set. What is the approximate change to the standard deviation?

Accepted Answer

decrease of $2,440

Answer

increase of $2,440

Answer

increase of $1,904

Answer

decrease of $1,904

Question 61

Zack compared his math and science test grades.

Which statement is true?

Accepted Answer

Both the median and interquartile range for math are higher than those for science.

Answer

The median for math is higher than that for science, but the interquartile range for science is higher than that for math.

Answer

The median for science is higher than that for math, but the interquartile range for math is higher than that for science.

Answer

Both the median and interquartile range for science are higher than those for math.

Question 62

These box-and-whisker plots represent test scores from two different classes.

Which statement is correct?

Accepted Answer

The third quartile range of class P is 5 greater than that of class M.

Answer

The interquartile range of class M is 5 less than that of class P.

Answer

The first quartile range of class P is 5 less than that of class M.

Answer

The median of class M is 5 greater than that of class P.

Question 63

This table shows the average salary of professional baseball players x years after 2000.

Which approximate exponential function models the salary, in thousands of dollars, after x years?

Accepted Answer

f(x) = $$63(1.11)^x$$

Answer

f(x) = $$63(1.32)^x$$

Answer

f(x) = $$89(1.11)^x$$

Answer

f(x) = $$89(1.32)^x$$

Question 64

A set of data is shown in this table.

The data set is modeled with the linear best-fit function. Which data point is farthest from the line?

Accepted Answer

(32, 500)

Answer

(10, 95)

Answer

(15, 100)

Answer

(45, 650)

MCS Top 80 Math 1 EOC Questions - Number Quantity and Algebra

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