Free Printable MCS Top 80 Math 1 EOC Questions

1.

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

a)

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

b)

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

c)

$-10x^2 - x - 2$

d)

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

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?

a)

5x + 4

b)

6x + 3

c)

30x + 24

d)

60x + 48

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?

a)

the maximum height of the rocket

b)

the height of the rocket after 64 seconds

c)

the speed of the rocket when it was launched

d)

the height of the rocket when it was launched

4.

Hugh and Jennifer invest money.

Hugh invests $\$500$ in an account that earns $12\%$ compound interest each year.

Jennifer invests $750$ in an account that earns $\$25$ in interest each year.

Approximately how many years does it take for Hugh’s investment to have a higher value than Jennifer’s investment?

a)

2.3

b)

3.1

c)

4.9

d)

6.1

5.

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

a)

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

b)

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

c)

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

d)

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

6.

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

a)

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

b)

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

c)

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

d)

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

7.

Tylisha works at an electronic store and also tutors.

●She earns $10 per hour at the electronics store.

● Shemustwork at least 8 hours each week at the electronics store.

● She tutors for $15 per hour.

● She wants to earn at least $120 per week.

● She does not want to work more than a total of 20 hours per week.

Which system of inequalities can be used to determine the number of hours Tylisha can work each week at the electronics store, e, and the number of hours she can tutor, t?

a)

e > 8

10e + 15t > 120

e < 20 - t

b)

e ≥ 8

10e + 15t ≥ 120

e ≤ 20 - t

c)

e ≤ 8

10e + 15t ≤ 120

e ≥ 20 - t

d)

e < 8

10e + 15t < 120

e > 20 - t

8.

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?

a)

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

b)

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

c)

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

d)

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

9.

The formula for thermal conductivity of two substances is $k=\frac{Qd}{A\Delta T}$ , where Q is the amount of heat transferred, d is the distance between the two substances, A is the surface area, and ΔT is the difference in temperature. Which formula can be used to determine d, given K, Q, A, and ΔT?

a)

$d=KAΔT−Q$

b)

$d=\frac{KA}{Q}+ΔT$

c)

$d=\frac{KAΔT}{Q}$

d)

$d=\frac{Q}{KAΔT}$

10.

A rectangular field measures $(10x+4)$ ft long and $(7x)$ ft wide. An outdoor basketball court that measures $(8x+4)$ ft long and $(5x)$ ft wide is inside the field. What is the area of the field that the basketball court does not cover?

a)

(4x) ft²

b)

(8x) ft²

c)

(30x² + 8x) ft²

d)

(30x² − 8x) ft²

11.

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 $a−b$ ?

a)

A. 2

b)

B. 4

c)

C. 5

d)

D. 7

12.

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?

a)

$5,380

b)

$6,258

c)

$11,142

d)

$17,304

13.

Richard and Jason each begin filling pools at the same time. Richard fills his pool at a rate of 6 gallons per minute. Jason’s pool already contains 200 gallons, and he fills it at a rate of 2 gallons per minute. How many minutes pass before both pools have the same amount of water?

a)

300

b)

100

c)

50

d)

33

14.

Kevin and Joseph sold T-shirts and jackets to raise money for the basketball team.

● Kevin sold 10 T-shirts and 3 jackets and collected a total of $186.

● Joseph sold 7 T-shirts and 5 jackets and collected a total of $194.

● The cost of each T-shirt was the same, and the cost of each jacket was the same.

Which system of equations can be used to determine the price of each T-shirt, x, and the price of each jacket, y?

a)

10x + 3y = 186 7x + 5y = 194

b)

10x + 3y = 194 7x + 5y = 186

c)

10x + 7y = 186 4x + 5y = 194

d)

10x + 7y = 194 3x + 5y = 186

15.

Marlowe earned $5,000 over the summer.

● He spent $800 of his earnings.

● He invested the remainder into an account that pays 3.5% interest compounded annually.

Which equation represents the value of the account, V, after x years?

a)

V = $4200(1.35)^x$

b)

V = $4200(1.035)^x$

c)

V = $5,000(1.35)^x$

d)

V = $5,000(1.035)^x$

16.

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

a)

A. [Graph A]

b)

B. [Graph B]

c)

C. [Graph C]

d)

D. [Graph D]

17.

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

a)

63/2

b)

10

c)

6

d)

30/7

18.

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

a)

-3/2, -1/3

b)

-3/2, 1/3

c)

3/2, -1/3

d)

3/2, 1/3

19.

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?

a)

(0, 0)

b)

(-1, -3)

c)

(-3, -1)

d)

(-3, -3)

20.

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

a)

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

b)

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

c)

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

d)

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

21.

Which system of inequalities is graphed below?

a)

$y>x+2$

$y\le-x$

b)

$y\ge x+2$

$y<-x$

c)

$y<x+2$

$y\ge-x$

d)

$y\le x+2$

$y>-x$

22.

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

a)

$x=-2$

b)

$x=-1$

c)

$x=2$

d)

$x=4$

23.

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

a)

$\frac{11}{3}$

b)

$\frac{7}{3}$

c)

$\frac{5}{3}$

d)

$\frac{1}{3}$

24.

Which is the graph of $−2x−3y\ge9$ ?

a)

[Graph A]

b)

[Graph B]

c)

[Graph C]

d)

[Graph D]

25.

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?

a)

11 meters

b)

110 meters

c)

1,100 meters

d)

11,000 meters

26.

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?

a)

the initial amount Sakari saved for vacation

b)

the total amount Sakari has saved for vacation

c)

the amount Sakari still needs to save for vacation

d)

the number of weeks Sakari has been saving for vacation

27.

This shows a sequence.

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

Which function can be used to determine the nth term?

a)

$f(n)=9n-19$

b)

$f(n)=9n-28$

c)

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

d)

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

28.

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?

a)

$a_n=42.5n+307.5$

b)

$a_n=42.5n+350$

c)

$a_n=85n+307.5$

d)

$a_n=85n+350$

29.

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

a)

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

b)

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

c)

f(x) = 5,500 + 345x

d)

f(x) = 345 + 5,500x

30.

This shows two functions.

$f(x)=4x-2$

$g(x)=4x-2$

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

a)

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

b)

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

c)

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

d)

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

31.

Dave’s class and Maria’s class collected canned food for the local food bank. Each class began collecting canned food at the same time. The number of cans Dave’s class collected after x weeks can be determined using the function $f(x) = 4x + 7$ . The number of cans Maria’s class collected after x weeks can be determined using the function $g(x) = x^2 + 5x + 3$ . Which function, , can be used to determine the total number of cans both classes collected after x weeks?

a)

$t(x) = x^2 + 9x + 4$

b)

$t(x) = x^2 + 9x + 10$

c)

$t(x) = x^2 + x + 4$

d)

$t(x) = x^2 + x - 4$

32.

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

a)

$f(t) = 125t^3$

b)

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

c)

f(t) = 125(3t)

d)

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

33.

Lou and Emiliano throw balls into the air at the same time.

• The height in feet, f(t), of Lou’s ball after t seconds is represented by the function $f(x) = -16t^2 + 9t + 8$ .

• The height in feet, g(t), of Emiliano’s ball after t seconds is represented by the function $g(t) = -16t^2 + 11t + 10$ .

Which function represents how much higher, $h(t)$ , Emiliano’s ball is than Lou’s ball after t seconds?

a)

$h(t)=2t+18$

b)

$h(t)=2t+2$

c)

$h(t)=2t-2$

d)

$h(t)=2t-18$

34.

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

a)

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

b)

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

c)

h(x) = 13 + 8^x

d)

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

35.

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?

a)

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

b)

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

c)

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

d)

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

36.

This shows two functions.

$𝑓(𝑥)=−4𝑥^2+9𝑥−8$

$𝑔(𝑥)=6𝑥^2−10𝑥−12$

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

a)

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

b)

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

c)

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

d)

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

37.

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?

a)

f(x) = 1(2)^x

b)

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

c)

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

d)

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

38.

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

a)

The function has a zero of -2.

b)

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

c)

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

d)

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

39.

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

a)

$3x-2$

b)

$3x+2$

c)

$2x-3$

d)

$2x+3$

40.

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

a)

3

b)

8

c)

15

d)

18

41.

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?

a)

2 seconds

b)

4 seconds

c)

8 seconds

d)

16 seconds

42.

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

a)

-4

b)

-1

c)

1

d)

4

43.

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?

a)

1

b)

2

c)

4

d)

5

44.

The total amount in Kristen’s bank account after x years can be determined using the function $y = 81(1.04)^x$ . The total amount in Ellie’s bank account after x years can be determined using the function $y = 67(1.07)^x$ . What is the difference in the interest rates of the two accounts?

a)

0.03%

b)

1.03%

c)

3%

d)

30%

45.

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?

a)

$4

b)

$12

c)

$16

d)

$20

46.

Which is an equation of the function graphed below?

a)

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

b)

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

c)

$y = 2x^2 + 2$

d)

$y = 2x^2 - 2$

47.

Tasha and Nate each hit a ball into the air. The function $h(t) = -16t^2 + 80t + 6$ models the height, in feet, of Tasha’s ball after t seconds. The height of Nate’s ball after t seconds is displayed in this graph. Which statement is true?

a)

Nate hit the ball the highest at 72 feet.

b)

Tasha hit the ball the highest at 106 feet.

c)

Nate’s ball was in the air for about 5.1 seconds.

d)

Tasha’s ball was in the air for about 4.1 seconds.

48.

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?

a)

-10

b)

-4

c)

-2

d)

1

49.

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?

a)

1 unit

b)

2 units

c)

5 units

d)

9 units

50.

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

a)

constant

b)

exponential

c)

linear

d)

quadratic

51.

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

a)

4

b)

5

c)

6

d)

7

52.

Which situation can be modeled by an exponential function?

a)

Leslie saves $100 each month.

b)

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

c)

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

d)

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

53.

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?

a)

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

b)

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

c)

an exponential function, because she earns 0.1% each month

d)

a linear function, because she earns 0.1% each month

54.

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?

a)

the final amount of medicine

b)

the initial amount of medicine

c)

the amount of medicine after 250 hours

d)

the amount of medicine decreasing by 250 mg each hour

55.

The function $f(x)=\frac{1}{3}x+70$ represents Mike’s test grade, f(x), after x minutes of studying. What does the slope represent in this situation?

a)

For every 5 minutes of study time, his grade increases 15 points.

b)

For every 15 minutes of study time, his grade increases 5 points.

c)

For every 5 minutes of study time, his grade decreases 15 points.

d)

For every 15 minutes of study time, his grade decreases 5 points.

56.

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

a)

$(-2.5,\ 3.5)$

b)

$(-1,\ 5)$

c)

$(3,\ 2)$

d)

$(4.5,\ 0.5)$

57.

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

a)

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

b)

$(-2,-1.5)$

c)

$(2,\ 1.5)$

d)

$(3,\ 7.5)$

58.

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

a)

(1, 2)

b)

(1, 3)

c)

(4, 1)

d)

(4, 3)

59.

Four friends plotted the locations of their houses on a coordinate plane.

• Sarah’s house is located at (7, -2).

• Mandy’s house is located at (3, 5).

• Cameron’s house is exactly halfway between Sarah’s house and Mandy’s house.

• Kayla’s house is exactly halfway between Cameron’s house and Mandy’s house.

What are the coordinates of Kayla’s house?

a)

$(2,-\frac{7}{2})$

b)

$(4,\ \frac{13}{4})$

c)

$(5,\ \frac{3}{2})$

d)

$(6,-\frac{1}{4})$

60.

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

a)

$(-12,\ 8)$

b)

$(-6,\ 4)$

c)

$(4,\ 4)$

d)

$(2,\ 2)$

61.

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

a)

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

b)

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

c)

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

d)

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

62.

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

a)

$y=-2x-2$

b)

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

c)

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

d)

$y=2x+14$

63.

Which line is parallel to the line on the graph?

a)

$-2x+y=5$

b)

$x-2y=6$

c)

$4x-2y=4$

d)

$4x+2y=10$

64.

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

a)

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

b)

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

c)

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

d)

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

65.

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?

a)

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

b)

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

c)

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

d)

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

66.

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?

a)

strong negative relationship

b)

strong positive relationship

c)

weak negative relationship

d)

weak positive relationship

67.

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?

a)

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

b)

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

c)

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

d)

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

68.

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?

a)

0.4

b)

0.2

c)

-0.5

d)

-0.9

69.

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?

a)

0.93

b)

0.95

c)

0.96

d)

0.97

70.

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?

a)

$56

b)

$210

c)

$289

d)

$378

71.

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

a)

0

b)

-0.24

c)

-0.96

d)

-1

72.

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

a)

Class 1 has the larger mean and standard deviation.

b)

Class 2 has the larger mean and standard deviation.

c)

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

d)

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

73.

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?

a)

increase of $2,440

b)

decrease of $2,440

c)

increase of $1,904

d)

decrease of $1,904

74.

An administrator at a local hospital recorded the weights of newborn babies.

• For year 2016, the mean weight of babies was 7.3 pounds, with a standard deviation of 0.8 pound.

• For year 2017, the mean weight of babies was 7.5 pounds, with a standard deviation of 0.61 pound.

Which statement is correct?

a)

The weights for 2016 are more spread out around the mean than those of 2017.

b)

The weights for 2016 are less spread out around the mean than those of 2017.

c)

The weights of 2016 skew left, while the weights for 2017 skew right.

d)

There is no difference in the spread of weights for 2016 and 2017.

75.

Zack compared his math and science test grades.

Which statement is true?

a)

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

b)

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

c)

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

d)

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

76.

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

Which statement is correct?

a)

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

b)

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

c)

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

d)

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

77.

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?

a)

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

b)

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

c)

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

d)

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

78.

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?

a)

(10, 95)

b)

(15, 100)

c)

(32, 500)

d)

(45, 650)

79.

This table lists the yearly cost of tuition at a college, based on the number of years since 2010. What is the approximate best-fit linear function for the data?

a)

$f(x)=100x+10,000$

b)

$f(x)=176x+10,580$

c)

$f(x)=10,580x+176$

d)

$f(x)=11,000x+200$

80.

Davis recorded in this table how far he could throw balls of different weights. He modeled the data set with a linear best-fit function. Approximately how far should he expect to throw a ball that weighs 12 pounds?

a)

6 feet

b)

7 feet

c)

12 feet

d)

20 feet

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

Total questions: 80

Worksheet time: 4hrs 0mins

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