Free Printable Math 1 EOC Review

1.

The table shows five used car prices for a luxury sedan taken from used car dealerships in North Carolina. Based on the line of best fit for the data, which price might you expect for the model sedan if it were 54 months old?

a)

$10,450

b)

$14,545

c)

$16,537

d)

$18,600

2.

Lava coming from the eruption of a volcano follows a parabolic path. The height h in feet of a piece of lava t seconds after it is ejected from the volcano is given by h(t) = -t² + 16t + 936. After about how many seconds does the lava reach its maximum height?

a)

12

b)

20

c)

8

d)

5

3.

If the endpoints of the diameter of a circle are (–4, 4) and (2, –2), what are the coordinates of the center of the circle?

a)

(-1 , 1)

b)

(1 , -1)

c)

(-3 , 3)

d)

(3 , -3)

4.

The following were ten of the exam grades for a Biology class: 76, 45, 98, 92, 88, 61, 77, 94, 92, 81. What is the standard deviation for the data set?

a)

12.9

b)

14.0

c)

16.6

d)

18.3

5.

On this coordinate grid, the library is located at point T, the music stores is located at point S, and the pet store is located at point R. Each grid line represents 1 mile. How much farther, to the nearest tenth of a mile, is the music store from the library than it is from the pet store?

a)

3.3

b)

8.0

c)

11.3

d)

13.6

6.

Why does the data in the table NOT represent a function?

a)

A function cannot have fractions in its domain.

b)

The domain element 1 has two different range elements.

c)

Two different domain elements have the same range, 4.

d)

It does represent a function.

7.

The cost of renting a van for one day includes a flat rental fee plus a charge for each mile the van is driven. A van that is driven 107 miles costs $97.15. A van that is driven 127 miles costs $106.15. What is the flat rental fee?

a)

$19.00

b)

$20.00

c)

$45.00

d)

$49.00

8.

Shauna saw 30 fish. If the number of fish she saw was 6 more than twice the number of clams, which equation could she use to find x, the number of clams?

a)

2x + 6 = 30

b)

30 - 2x = 6

c)

6x + 2 = 30

d)

x = 2x + 6

9.

Compare ƒ(x) = -2x² - 8x + 20 to the graph of g(x) shown. What can you conclude about the two functions?

a)

ƒ(x) has a greater maximum than g(x).

b)

g(x) has a greater maximum than ƒ(x).

c)

ƒ(x) has a minimum, while g(x) has a maximum.

d)

g(x) and ƒ(x) have the same maximum.

10.

Rectangle ABCD has the vertices A(1,4), B(7,7), C(9,4), and D(3,1). What is the perimeter of the rectangle to the nearest hundredth?

a)

24.19

b)

18.23

c)

20.63

d)

18

11.

Sally bought 3 hamburgers and 2 drinks for $10.45.
Jason bought 4 hamburgers and 3 drinks for $14.30.
How much would 1 hamburger and1 drink cost?

a)

$1.98

b)

$2.09

c)

$3.85

d)

$4.07

12.

The population of elk in a region is shown in the table.
Year Population
0 250
1 230
2 170
3 190
4 260
What is the average rate of change in the elk population between year 1 and year 3?

a)

-60 elk per year

b)

-40 elk per year

c)

-20 elk per year

d)

-10 elk per year

13.

Shelby’s test scores are 88, 92, 88, 55, 94, 90, and 89. If the outlier were omitted, what would be the effect on Shelby’s mean score?

a)

The mean would not change.

b)

The mean would become smaller than the median.

c)

The mean would increase by 2.

d)

The mean would increase by 5.

14.

The expression 6x² – 4x + 5 can be used to calculate a company’s revenue from selling x items. The expression 2x² – 10 can be used to calculate the company’s cost to make x items. Which expression represents the company’s profit from selling x items?
(Note: Profit = Revenue – Cost)

a)

8x² – 4x – 5

b)

4x² – 4x + 15

c)

4x² – 4x – 5

d)

4x² + 15

15.

Paula kicks a ball off the ground into the air. The height, in feet, of the ball t seconds after it is kicked is modeled by the function h(t) = -16t² + 80t + 96. How long will it take for the ball to hit the ground?

a)

1 second

b)

3 seconds

c)

5 seconds

d)

6 seconds

16.

Which is an equation of the line that passes through the point (-3, 4) and is perpendicular to the graph of y = ⅔x - 6?

a)

y = ⅔x + 10

b)

y = ⅔x + 6

c)

y = ⁻³/₂x - ½

d)

y = ⁻³/₂x + ½

17.

The endpoints of a line segment are located at (1, 9) and (7, 1). What is the midpoint of the line segment?

a)

(3, 4)

b)

(4, 3)

c)

(4, 5)

d)

(5, 4)

18.

Sam has a rectangular garden. When placed on a coordinate plane, it has vertices at (0, -2), (5, -4), (9, 6), and (4, 8). What is the area of Sam’s garden?

a)

16 square feet

b)

29 square feet

c)

58 square feet

d)

116 square feet

19.

The ages of students enrolled in two photography classes are listed below.
Class A: 18, 19, 18, 16, 18, 20, 18, 17, 17, 25, 24, 30
Class B: 32, 16, 16, 17, 21, 18, 15, 26, 18, 18, 17
Which statement best describes the data in both classes?

a)

Class A and B have the same interquartile range and the same mean age.

b)

Class A and B have the same interquartile range and the same median age.

c)

Class A and B have the same median age, but Class B has a higher mean age.

d)

Class A and B have the same median age, but Class A has a lower interquartile range.

20.

A system of inequalities is shown below.
y > 2x – 1
y < -3x – 1
Which quadrants on the coordinate grid contain the solution set to the system?

a)

I and II

b)

II and III

c)

III and IV

d)

IV and I

21.

Which scenario could be modeled by a linear function?

a)

the population of a city that is growing by 3% each year

b)

the amount of carbon in a sample that is decaying by half every 6 hours

c)

the number of calories burned when running at a constant speed

d)

the height of a rocket 6 hours after takeoff

22.

A liquid is evaporating. The amount of a liquid remaining, in liters, after x weeks is modeled by the equation y = 100(0.78)^x. Approximately what percent of the liquid evaporates per week?

a)

22%

b)

47%

c)

53%

d)

78%

23.

Which inequality describes the graph?

a)

b)

c)

d)

24.

The sequence below shows the number of trees a nursery plants each year. 2, 8, 14, 20… Which formula could be used to determine the number of trees the nursery will plant next year, NEXT, if the number of trees planted this year, NOW is known?

a)

NEXT = 4 + NOW

b)

NEXT = 4 ∙ NOW

c)

NEXT = 4 ∙ NOW + 2

d)

NEXT = NOW + 6

25.

If f(x) = -1.5x - 1, give a coordinate point on the graph of f corresponding to f(-2)

a)

(2,-2)

b)

(-4, -2)

c)

(-2, 2)

d)

(-2, -4)

26.

Identify the set of ordered pairs that represents a function.

a)

{(1, -3), (-2, 8), (0, 0), (1, -2)}

b)

{(1, -1), (-2, -7), (0, 1), (-1, -1)}

c)

{(2, -3), (-3, 6), (-2, -2), (2, 3)}

d)

{(-3, 2), (1, 6), (2, 2), (1, 3)}

27.

Write a function to represent the sequence:
-12, -11.75, -11.5, -11.25…?

a)

f(n) = 0.25n - 12

b)

f(n) = -0.25(n - 1) - 12

c)

f(n) = 0.25n - 12.25

d)

f(n) = 12(n -1) - 0.25

28.

Given the following table, which of the following choices could be used as the range so that the table represents a linear function?

a)

{14, 5, -7, -9}

b)

{15, 3, 8, 15}

c)

{18, 6, 11, 18}

d)

{17, 9, -11, -15}

29.

The equation
y = 461.19x + 3,492 represents the value of a work of art from 1964 to 2005. What does the number 461.19 represent?

a)

The value of the work of art in 1964

b)

The value of the work of art in 2005

c)

The yearly decrease in value

d)

The yearly increase in value

30.

Which point is a part of the solution set of the system of inequalities below?
y < 2x + 3
y < -2x + 3

a)

(5, 0)

b)

(4, 2)

c)

(6, -2)

d)

(0, -1)

31.

A region is defined by the system: y > 4x + 2 and y ≤ -3x - 5
*hint enter the inequalities into the calculator at y1 = and y2 =, don't forget to turn on the shading option. Look at the graph.
In which quadrant of the coordinate plane is the region located?

a)

I, II, and III only

b)

II and III only

c)

III and IV only

d)

I, II, III, and IV only

32.

A rectangular garden has a length 2 feet greater than its width, w. Jordan will increase both dimensions of the garden by 2 feet. Which equation represents the new area, N, of the garden?

a)

N = w² +4w + 4

b)

N = w² + 6w + 8

c)

N = w² + 2w

d)

N = w² + 2w + 2

33.

What expression is equivalent to x² - 81?

a)

(x + 81)(x -1)

b)

(x + 9)(x + 3)(x - 3)

c)

(x - 9)(x - 9)

d)

(x - 9)(x + 9)

34.

A liquid is evaporating. The amount of a liquid remaining, in liters, after x weeks is modeled by the equation y = 100(0.78)^x. Approximately what percent of the liquid evaporates per week?

a)

22%

b)

47%

c)

53%

d)

78%

35.

Which of the following quadratic equations can be solved with the graph shown?

a)

x² - x - 6 = 0

b)

x² - x + 6 = 0

c)

x² + x - 6 = 0

d)

x²+ x + 6 = 0

36.

The sequence below shows the amount of bacteria that occurs after each hour: 2, 6, 18, 54, 162 Which formula can be used to determine the amount of bacteria in the next hour, NEXT, if the number of NOW bacteria is known?

a)

NEXT = NOW ⋅ 3

b)

NEXT = NOW ⋅ ⅓

c)

NEXT = 3 ⋅ NOW + 2

d)

NEXT = NOW ÷ 3

37.

Suppose that the equation
V = 20x² - 363.2x +2500, represents the value of a car from 1962 – 2000. What year did the car have the least value?
(x = 0 in 1962)

a)

1969

b)

1971

c)

1975

d)

1999

38.

A line segment has endpoints A(3, 2) and B(5, 4). The point K is the midpoint of segment AB. What is the equation of the line that is perpendicular to segment AB through point K?

a)

y = -x + 7

b)

y = x + 7

c)

y = -x - 7

d)

y =x - 7

39.

At the airport, the new runway will be parallel to a nearby highway. On the scale drawing of the airport, the equation that represents the highway is 6y = 8x - 11. Which equation could represent the new runway?

a)

9y = 12x + 5

b)

9x = 12y + 8

c)

12y = -9x + 2

d)

12x = -9y + 4

40.

A quadrilateral has vertices located at (-3, -5), (4, 2), (4, 1) and (2, -1). Which of the following best describes the figure?
Graph and compare side lengths and slopes to prove the quadrilateral.

a)

Rhombus

b)

Rectangle

c)

Trapezoid

d)

Square

41.

Define parallel lines.

a)

Two lines in a plane that intersect.

b)

Two lines in a plane that do not intersect.

c)

Two lines in a plane that intersect at a 90 degree angle.

d)

Two lines that never end.

42.

Sally bought 3 hamburgers and 2 drinks for $10.45.
Jason bought 4 hamburgers and 3 drinks for $14.30.
How much would 1 hamburger and1 drink cost?

a)

$1.98

b)

$2.09

c)

$3.85

d)

$4.07

43.

The cost of a cab ride is $4.25 plus $0.35 per mile. How many miles did a person travel if the cost of the cab ride was $14.75?

a)

30 miles

b)

35 miles

c)

42 miles

d)

54 miles

44.

The population of elk in a region is shown in the table.
Year Population
0 250
1 230
2 170
3 190
4 260
What is the average rate of change in the elk population between year 1 and year 3?

a)

-60 elk per year

b)

-40 elk per year

c)

-20 elk per year

d)

-10 elk per year

45.

Shelby’s test scores are 88, 92, 88, 55, 94, 90, and 89. If the outlier were omitted, what would be the effect on Shelby’s mean score?

a)

The mean would not change.

b)

The mean would become smaller than the median.

c)

The mean would increase by 2.

d)

The mean would increase by 5.

46.

The number of bacteria in a science experiment doubles in size every 30 minutes. At 1:30 p.m., there were 2 bacteria in the sample. How many bacteria were in the sample at 4:30 p.m.?

a)

14 bacteria

b)

64 bacteria

c)

128 bacteria

d)

256 bacteria

47.

The expression 6x² – 4x + 5 can be used to calculate a company’s revenue from selling x items. The expression 2x² – 10 can be used to calculate the company’s cost to make x items. Which expression represents the company’s profit from selling x items?
(Note: Profit = Revenue – Cost)

a)

8x² – 4x – 5

b)

4x² – 4x + 15

c)

4x² – 4x – 5

d)

4x² + 15

48.

For an experiment, Gary makes a hole in the bottom of a bottle full of water and records the amount of water left in the bottle at the end of each minute. He writes the linear model w = -50m + 1200 which describes the amount of water remaining in the water bottle, in w milliliters, after m minutes. Which statement is a correct interpretation of this linear model?

a)

The water bottle holds 1,200 milliliters of water and loses 50 milliliters per minute.

b)

The water bottle starts with 1,200 milliliters of water and ends with 50 milliliters of water.

c)

The water bottle holds 1,200 milliliters of water and loses 1 milliliter of water every 50 minutes.

d)

The water bottle starts with 1,200 milliliters of water and loses exactly 50 milliliters of water.

49.

Paula kicks a ball off the ground into the air. The height, in feet, of the ball t seconds after it is kicked is modeled by the function h(t) = -16t² + 80t + 96. How long will it take for the ball to hit the ground?

a)

1 second

b)

3 seconds

c)

5 seconds

d)

6 seconds

50.

What is the smallest positive integer value of x for which the value of f(x) = 2^{(x + 1)} exceeds the value of g(x) = 2x² + x + 1?

a)

4

b)

5

c)

6

d)

7

51.

Which is an equation of the line that passes through the point (-3, 4) and is perpendicular to the graph of y = ⅔x - 6?

a)

y = ⅔x + 10

b)

y = ⅔x + 6

c)

y = ⁻³/₂x - ½

d)

y = ⁻³/₂x + ½

52.

The endpoints of a line segment are located at (1, 9) and (7, 1). What is the midpoint of the line segment?

a)

(3, 4)

b)

(4, 3)

c)

(4, 5)

d)

(5, 4)

53.

Sam has a rectangular garden. When placed on a coordinate plane, it has vertices at (0, -2), (5, -4), (9, 6), and (4, 8). What is the area of Sam’s garden?

a)

16 square feet

b)

29 square feet

c)

58 square feet

d)

116 square feet

54.

The ages of students enrolled in two photography classes are listed below.
Class A: 18, 19, 18, 16, 18, 20, 18, 17, 17, 25, 24, 30
Class B: 32, 16, 16, 17, 21, 18, 15, 26, 18, 18, 17
Which statement best describes the data in both classes?

a)

Class A and B have the same interquartile range and the same mean age.

b)

Class A and B have the same interquartile range and the same median age.

c)

Class A and B have the same median age, but Class B has a higher mean age.

d)

Class A and B have the same median age, but Class A has a lower interquartile range.

55.

A system of inequalities is shown below.
y > 2x – 1
y < -3x – 1
Which quadrants on the coordinate grid contain the solution set to the system?

a)

I and II

b)

II and III

c)

III and IV

d)

IV and I

56.

A weather expert uses the equation y = 0.05x + 44.52 to predict the average yearly rainfall, in inches, for cities where x is the elevation of the city. What does the constant term of the equation represent?

a)

the maximum yearly rainfall for a city

b)

the minimum yearly rainfall for a city

c)

the average yearly rainfall for a city located at sea level

d)

the average yearly rainfall for a city located in the mountains

57.

Which scenario could be modeled by a linear function?

a)

the population of a city that is growing by 3% each year

b)

the amount of carbon in a sample that is decaying by half every 6 hours

c)

the number of calories burned when running at a constant speed

d)

the height of a rocket 6 hours after takeoff

58.

The formula V = ⅓Bh can be used to find the volume of a pyramid, where B is the area of the base and h is the height. Which formula represents the height of the pyramid in terms of the volume and area of the base?

a)

h= V/(3B)

b)

h=B/(3V)

c)

h=3V/B

d)

h=3B/V

59.

Sally bought 3 hamburgers and 2 drinks for $10.45.
Jason bought 4 hamburgers and 3 drinks for $14.30.
How much would 1 hamburger and1 drink cost?

a)

$1.98

b)

$2.09

c)

$3.85

d)

$4.07

60.

The cost of a cab ride is $4.25 plus $0.35 per mile. How many miles did a person travel if the cost of the cab ride was $14.75?

a)

30 miles

b)

35 miles

c)

42 miles

d)

54 miles

61.

The population of elk in a region is shown in the table.
Year Population
0 250
1 230
2 170
3 190
4 260
What is the average rate of change in the elk population between year 1 and year 3?

a)

-60 elk per year

b)

-40 elk per year

c)

-20 elk per year

d)

-10 elk per year

62.

Shelby’s test scores are 88, 92, 88, 55, 94, 90, and 89. If the outlier were omitted, what would be the effect on Shelby’s mean score?

a)

The mean would not change.

b)

The mean would become smaller than the median.

c)

The mean would increase by 2.

d)

The mean would increase by 5.

63.

The number of bacteria in a science experiment doubles in size every 30 minutes. At 1:30 p.m., there were 2 bacteria in the sample. How many bacteria were in the sample at 4:30 p.m.?

a)

14 bacteria

b)

64 bacteria

c)

128 bacteria

d)

256 bacteria

64.

The expression 6x² – 4x + 5 can be used to calculate a company’s revenue from selling x items. The expression 2x² – 10 can be used to calculate the company’s cost to make x items. Which expression represents the company’s profit from selling x items?
(Note: Profit = Revenue – Cost)

a)

8x² – 4x – 5

b)

4x² – 4x + 15

c)

4x² – 4x – 5

d)

4x² + 15

65.

For an experiment, Gary makes a hole in the bottom of a bottle full of water and records the amount of water left in the bottle at the end of each minute. He writes the linear model w = -50m + 1200 which describes the amount of water remaining in the water bottle, in w milliliters, after m minutes. Which statement is a correct interpretation of this linear model?

a)

The water bottle holds 1,200 milliliters of water and loses 50 milliliters per minute.

b)

The water bottle starts with 1,200 milliliters of water and ends with 50 milliliters of water.

c)

The water bottle holds 1,200 milliliters of water and loses 1 milliliter of water every 50 minutes.

d)

The water bottle starts with 1,200 milliliters of water and loses exactly 50 milliliters of water.

66.

Paula kicks a ball off the ground into the air. The height, in feet, of the ball t seconds after it is kicked is modeled by the function h(t) = -16t² + 80t + 96. How long will it take for the ball to hit the ground?

a)

1 second

b)

3 seconds

c)

5 seconds

d)

6 seconds

67.

What is the smallest positive integer value of x for which the value of f(x) = 2^{(x + 1)} exceeds the value of g(x) = 2x² + x + 1?

a)

4

b)

5

c)

6

d)

7

68.

Which is an equation of the line that passes through the point (-3, 4) and is perpendicular to the graph of y = ⅔x - 6?

a)

y = ⅔x + 10

b)

y = ⅔x + 6

c)

y = ⁻³/₂x - ½

d)

y = ⁻³/₂x + ½

69.

The endpoints of a line segment are located at (1, 9) and (7, 1). What is the midpoint of the line segment?

a)

(3, 4)

b)

(4, 3)

c)

(4, 5)

d)

(5, 4)

70.

Sam has a rectangular garden. When placed on a coordinate plane, it has vertices at (0, -2), (5, -4), (9, 6), and (4, 8). What is the area of Sam’s garden?

a)

16 square feet

b)

29 square feet

c)

58 square feet

d)

116 square feet

71.

The ages of students enrolled in two photography classes are listed below.
Class A: 18, 19, 18, 16, 18, 20, 18, 17, 17, 25, 24, 30
Class B: 32, 16, 16, 17, 21, 18, 15, 26, 18, 18, 17
Which statement best describes the data in both classes?

a)

Class A and B have the same interquartile range and the same mean age.

b)

Class A and B have the same interquartile range and the same median age.

c)

Class A and B have the same median age, but Class B has a higher mean age.

d)

Class A and B have the same median age, but Class A has a lower interquartile range.

72.

A system of inequalities is shown below.
y > 2x – 1
y < -3x – 1
Which quadrants on the coordinate grid contain the solution set to the system?

a)

I and II

b)

II and III

c)

III and IV

d)

IV and I

73.

A weather expert uses the equation y = 0.05x + 44.52 to predict the average yearly rainfall, in inches, for cities where x is the elevation of the city. What does the constant term of the equation represent?

a)

the maximum yearly rainfall for a city

b)

the minimum yearly rainfall for a city

c)

the average yearly rainfall for a city located at sea level

d)

the average yearly rainfall for a city located in the mountains

74.

Which scenario could be modeled by a linear function?

a)

the population of a city that is growing by 3% each year

b)

the amount of carbon in a sample that is decaying by half every 6 hours

c)

the number of calories burned when running at a constant speed

d)

the height of a rocket 6 hours after takeoff

75.

The formula V = ⅓Bh can be used to find the volume of a pyramid, where B is the area of the base and h is the height. Which formula represents the height of the pyramid in terms of the volume and area of the base?

a)

h= V/(3B)

b)

h=B/(3V)

c)

h=3V/B

d)

h=3B/V

76.

Which is an equation of a line that passes through (2,8) and is parallel to line GH?

a)

y = -2x + 6

b)

y = -2x + 8

c)

y = -2x + 10

d)

y = -2x + 12

77.

At which point do the graphs of 2x = y + 5 and 6x + 2y = -5 intersect?

a)

(2, -4)

b)

(-4, 1)

c)

(1/2, -4)

d)

(-3/2, -8)

78.

Which inequality describes the graph?

a)

b)

c)

d)

79.

Which expression represents the area of the rectangle?

a)

2x² + 5x

b)

2x³ + 5x²

c)

2x² + 4x + 10

d)

2x³ + 5

80.

What is the greatest common factor of the terms of:

a)

b)

c)

d)

81.

Simplify 5y - 8z - (z + 3y) + 5(y - 2z).

a)

7y - 19z

b)

13y - 19z

c)

7y - 11z

d)

13y - 11z

82.

The table shows five used car prices for a luxury sedan taken from used car dealerships in North Carolina. Based on the line of best fit for the data, which price might you expect for the model sedan if it were 54 months old?

a)

$10,450

b)

$14,545

c)

$16,537

d)

$18,600

83.

If the endpoints of the diameter of a circle are (–4, 4) and (2, –2), what are the coordinates of the center of the circle?

a)

(-1 , 1)

b)

(1 , -1)

c)

(-3 , 3)

d)

(3 , -3)

84.

Why does the data in the table NOT represent a function?

a)

A function cannot have fractions in its domain.

b)

The domain element 1 has two different range elements.

c)

Two different domain elements have the same range, 4.

d)

It does represent a function.

85.

Shauna saw 30 fish. If the number of fish she saw was 6 more than twice the number of clams, which equation could she use to find x, the number of clams?

a)

2x + 6 = 30

b)

30 - 2x = 6

c)

6x + 2 = 30

d)

x = 2x + 6

86.

The equation

y = 461.19x + 3,492 represents the value of a work of art from 1964 to 2005. What does the number 461.19 represent?

a)