Free Printable (ALL) NC 8th Math EOG Prep

1.

The dimensions of a cylindrical can of pet food are shown below. What is the volume of the can, in terms of π?

a)

2.5π cubic inches

b)

4.5π cubic inches

c)

9π cubic inches

d)

18π cubic inches

2.

The volume of a sphere is 288π cubic centimeters. What is the radius of the sphere?

a)

6 cm

b)

12 cm

c)

72 cm

d)

216 cm

3.

A can of vegetables has a diameter of 3 inches and a height of 5 inches. The given formula can be used to determine the volume (V) of a cylinder: V = Bh = area of base × height. Which of the following is the approximate volume of the can? Use 3.14 for π.

a)

35 in³

b)

47 in³

c)

141 in³

d)

236 in³

4.

Find the volume of the Sphere

a)

78.5 m³

b)

392.5 m³

c)

523.6 m³

d)

62.8 cm³

5.

What is the formula for volume of a CYLINDER?

a)

V = π r²

b)

V = π r² h

c)

V = ⅓ π r² h

d)

V = ⅓ L W H

6.

Find the volume of the solid. Round to the nearest tenth.

7.

What is the formula for calculating the volume of a cone?

a)

V = π r h

b)

V = ⅓ π r² h

c)

V = π r² h

d)

V = 2π r h

8.

If a cone has a radius of 4 cm and a height of 9 cm, what is its volume? Use 3.14 for π.

a)

48 cm³

b)

150.72 cm³

c)

452.16 cm³

d)

603.36 cm³

9.

Given: Δ ABC is a right triangle with sides a, b, and c, where a, b, and c are also the lengths of the sides of the right triangle, such that the area of the square with side a is a², the area of the square with side b is b², and the area of the square with side c is c². Prove: a² + b² = c² (Pythagorean Theorem). Which of the following will prove the Pythagorean Theorem?

a)

When you subtract the area of the smallest square from the medium square the difference equals the area of the largest square.

b)

The sides of a right triangle are also the sides of squares

c)

The area of the two smaller squares will add up to the area of the largest square

10.

A right triangle is shown in the diagram below. Based on the Pythagorean Theorem, which statement is correct?

a)

The empty square has a side length of 8 and an area of 64 square units.

b)

The empty square has a side length of 9.6 and an area of 92 square units.

c)

The empty square has a side length of 10 and an area of 100 square units.

d)

The empty square has a side length of 14 and an area of 196 square units.

11.

Which of the following correctly describes the Pythagorean theorem?

a)

The sum of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.

b)

The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.

c)

The product of the lengths of the legs of a right triangle is equal to the length of the hypotenuse.

d)

The product of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the hypotenuse.

12.

This figure is used as part of a visual description of an algebraic statement. Which of the following can be that algebraic statement?

a)

a² + b² = c²

b)

1/2 (a+b) = c

c)

a - b = c

d)

a² - b² = c²

13.

Find AB in right triangle ABC.

a)

4

b)

2√7

c)

√34

d)

8

14.

Find the value of x that makes the triangle a right triangle.

a)

8

b)

16

c)

18

d)

23

15.

The dimensions of a right triangle are shown in the diagram. What is the length of the missing side, to the nearest tenth of a centimeter?

a)

12.9 cm

b)

14.25 cm

c)

19.2 cm

d)

22.1 cm

16.

Mr. Halsey leans a ladder against an 11.5-foot wall. The bottom of the ladder is 3.5 feet from the base of the wall, as shown. What is the approximate length of the ladder?

a)

8 feet

b)

11 feet

c)

12 feet

d)

14 feet

17.

A 41-foot ladder is placed against a vertical wall of an apartment building. The base of the ladder is 9 feet from the base of the apartment building. How many feet up the apartment building is the top of the ladder?

a)

50 feet

b)

√32 feet

c)

40 feet

d)

√50 feet

18.

If a right triangle has legs of lengths 6 and 8, what is the length of the hypotenuse?

a)

10

b)

12

c)

14

d)

16

19.

A wire is stretched across the diagonal of a rectangular wall. The wire and the top edge of the wall form a 33° angle. What is the measure of the angle formed by the wire and the bottom edge of the wall?

a)

A. 33°

b)

B. 53°

c)

C. 57°

d)

D. 147°

20.

Marlene noticed that when a pair of parallel lines was cut by a transversal, two particular vertical angles were reflections of each other. What can she conclude from this observation?

a)

A. the measures of the angles must be equal

b)

B. the angles must be complementary

c)

C. the angles must be supplementary

d)

D. the measures of the angles must add to 360°

21.

Look at the diagram below. Which statement is NOT true?

a)

m∠3 + m∠4 = m∠8

b)

m∠3 + m∠4 = m∠9

c)

∠1 ≅ ∠2

d)

m∠3 + m∠4 + m∠8 = 180°

22.

In the diagram below, line p is parallel to line q. Which of these represents the value of y?

a)

4

b)

8

c)

12

23.

In the figure, triangle ABC is similar to triangle XYZ. Which statement about the measure of angle X is correct?

a)

The measure of angle X is 50°, because angle X is the complement of angle B.

b)

The measure of angle X is 65°, because angle X corresponds to angle C.

c)

The measure of angle X is 75°, because angle B + angle C = 105°.

24.

This triangle has an exterior angle labeled angle A. All of the interior angles are labeled correctly. Which statement about the exterior angle is correct?

a)

It is 140 degrees because it is supplementary to 40 degrees.

b)

It is 50 degrees because it is complementary to 40 degrees.

c)

It is 60 degrees because 60 + 40 = 100 degrees

d)

It is 120 degrees because 40 + 80 = 120 degrees.

25.

The two horizontal lines in this figure are parallel. Refer to the diagram below to answer the question: Which statement about ∠A is correct?

a)

∠A measures 15° because it is complementary to 75°.

b)

∠A measures 75° because it is congruent to ∠B, which measures 75°.

c)

∠A measures 105° because it is supplementary to ∠B, which measures 75°.

d)

∠A measures 25° because 75° + 25° = 100°.

26.

Match the following

a)

1.

Acute Angle

b)

2.

Obtuse Angle

c)

3.

Right Angle

d)

4.

Straight Angle

27.

Match the following

a)

1.

an angle that is less than 90 degrees

b)

2.

greater than 90 degrees, less than 180

c)

3.

greater than 180∘ but less than 360∘

d)

4.

is 90∘

e)

5.

is 180∘

28.

Suppose a rectangle will undergo a rotation about the origin of a coordinate plane and a translation of 6 units down. Which of these is a true statement?

a)

A. The resulting rectangle will be congruent to the original rectangle only if the rotation occurs before the translation.

b)

B. The resulting rectangle will be congruent to the original rectangle only if the translation occurs before the rotation.

c)

C. The resulting rectangle will be congruent to the original rectangle regardless of the order of the rotation and the translation.

d)

D. The resulting rectangle will not be congruent to the original rectangle regardless of the order of the rotation and the translation.

29.

A line segment with endpoints at P(1, 8) and Q(5, -2) is reflected across the y-axis and translated up 6 units. What are the coordinates of the image of point Q?

a)

A. (-5, 4)

b)

B. (-1, 14)

c)

C. (5, 8)

d)

D. (1, -2)

30.

Point T in quadrant III is reflected across the x-axis and then across the y-axis. In which quadrant is the image of point T?

a)

A. quadrant I

b)

B. quadrant II

c)

C. quadrant III

d)

D. quadrant IV

31.

A transformation is applied to a shape in the coordinate plane. Which transformation always preserves orientation?

a)

180° rotation about the origin

b)

reflection across the x-axis

c)

reflection across the y-axis

d)

translation

32.

Look at the figure. Which graph shows the image of the figure after a rotation of 90° counter-clockwise about the origin?

a)

b)

c)

d)

33.

The location of Pentagon DEFGH is shown on the coordinate plane below. Pentagon DEFGH is translated up 10 units and then reflected over the y-axis resulting in Pentagon D'E'F'G'H'. What is the location of vertex G'?

a)

A. (-5, -2)

b)

B. (5,2)

c)

C. (-7, -2)

d)

D. (7,2)

34.

Triangle RST was rotated 90 degrees clockwise about the origin to form Triangle R'S'T'. Which coordinate plane shows the location of Triangle R'S'T'?

a)

Diagram A

b)

Diagram B

35.

Look at the figure below. Which of the following shows a translation across the y-axis?

a)

Option C

b)

Option D

c)

d)

36.

Look at Δ ABC and Δ DEF on this coordinate grid. Which transformation shows that Δ ABC and Δ DEF are similar?

a)

a dilation of Δ ABC with a scale factor of 1/2

b)

a translation of Δ ABC 1 unit up and 2 units to the right

c)

a translation of Δ ABC 3 units up and 2 units to the right

d)

a dilation of Δ ABC with a scale factor of 2

37.

Which of these statements is true about the two graphed parallelograms?

a)

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/4.

b)

They are similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

c)

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/4.

d)

They are not similar, because one can be obtained by dilating the other about the origin with a scale factor of 1/2.

38.

A group of people were asked if they own a smart phone and if they use social media. Their responses are shown in the table. What percent of the people surveyed have a smart phone but do not use social media?

a)

A) 20%

b)

B) 25%

c)

C) 28%

d)

D) 36%

39.

The school cafeteria workers recorded the students who chose milk, fruit, both, or neither at lunch. This table shows the data. About what percent of the students chose both milk and fruit?

a)

34%

b)

52%

c)

65%

d)

92%

40.

A group of people were asked to choose their favorite kind of chocolate. The results are displayed in the table. Approximately what percent of females chose milk chocolate or dark chocolate as their favorite?

a)

20%

b)

32%

c)

53%

d)

60%

41.

A total of 130 seventh and eighth grade girls were asked whether they preferred to read fiction or poetry. The results of the survey are shown in the table below. What is the relative frequency of girls who prefer poetry?

a)

A) 19/51

b)

B) 51/130

c)

C) 65/130

d)

D) 32/51

42.

Albert surveyed the people at a local ice cream shop on whether they prefer chocolate or vanilla as a flavor of ice cream. The table below shows the result of Albert's survey. Which conclusion is true?

a)

A) Most males and females prefer vanilla ice cream more than chocolate ice cream.

b)

B) Both males and females prefer chocolate and vanilla ice cream equally.

c)

C) Males prefer chocolate ice cream more than vanilla ice cream.

d)

D) Females prefer chocolate ice cream more than males.

43.

A group of people were asked if they own a smart phone and if they use social media. Their responses are shown in the table. What percent of the people surveyed have a smart phone but do not use social media?

a)

A) 20%

b)

B) 25%

c)

C) 28%

d)

D) 36%

44.

The school cafeteria workers recorded the students who chose milk, fruit, both, or neither at lunch. This table shows the data. About what percent of the students chose both milk and fruit?

a)

34%

b)

52%

c)

65%

d)

92%

45.

A group of people were asked to choose their favorite kind of chocolate. The results are displayed in the table. Approximately what percent of females chose milk chocolate or dark chocolate as their favorite?

a)

20%

b)

32%

c)

53%

d)

60%

46.

A total of 130 seventh and eighth grade girls were asked whether they preferred to read fiction or poetry. The results of the survey are shown in the table below. What is the relative frequency of girls who prefer poetry?

a)

A) 19/51

b)

B) 51/130

c)

C) 65/130

d)

D) 32/51

47.

Albert surveyed the people at a local ice cream shop on whether they prefer chocolate or vanilla as a flavor of ice cream. The table below shows the result of Albert's survey. Which conclusion is true?

a)

A) Most males and females prefer vanilla ice cream more than chocolate ice cream.

b)

B) Both males and females prefer chocolate and vanilla ice cream equally.

c)

C) Males prefer chocolate ice cream more than vanilla ice cream.

d)

D) Females prefer chocolate ice cream more than males.

48.

What is the relative frequency (to the nearest percent) of boys among those who cannot bike to school?

a)

4%

b)

14%

c)

13%

d)

29%

49.

What percentage of girls have blonde hair?

a)

30%

b)

32%

c)

29%

d)

40%

50.

What percentage of SUV's are driven by women?

a)

56.25%

b)

75%

c)

83.25%

d)

86.5%

51.

What percentage of males drive sports cars?

a)

35%

b)

16.25%

c)

65%

d)

25%

52.

A survey explored the relationship between gender and band class. Which is a reasonable conclusion?

a)

There are more band members than non-band members

b)

There are more boys in the class than girls

c)

There are more boys in band than not in band

d)

More than half of the bands members in the class are girls

53.

According to the two-way table, a person who plays an instrument is most likely to:

a)

Not play an instrument

b)

Not play a team sport

c)

Play a team sport

d)

All of the above

54.

What percentage of the days that it rained, did they forecast no rain?

a)

About 20%

b)

About 18%

c)

About 14%

d)

About 12%

55.

Of the times when the forecast called for rain, what is the percentage that it actually rained?

a)

About 90%

b)

About 50%

c)

About 70%

d)

About 80%

56.

According to the table, what is the relative frequency of Students ages 14 - 17 who skip breakfast?

a)

About 27%

b)

About 35%

c)

About 15%

d)

About 30%

57.

According to the table, what is the relative frequency of students ages 10 - 13 who eat breakfast?

a)

About 33%

b)

About 50%

c)

About 40%

d)

About 44%

58.

What is the relative frequency for selecting a teen given that the person likes chocolate?

a)

.112

b)

.267

c)

.164

d)

.056

59.

Given that the person would choose neither, what is the relative frequency if they are an adult?

a)

.26

b)

.037

c)

.084

d)

.143

60.

Given the person is a child, what is the relative frequency that they would pick neither?

a)

.26

b)

.195

c)

.286

d)

.214

61.

What is the relative frequency of a person who wears pants out of all those who wear sandals?

a)

4%

b)

14%

c)

20%

d)

36%

62.

What is the relative frequency of people that purchased no food?

a)

10%

b)

60%

c)

15%

d)

30%

63.

These points have been graphed on a scatter plot: (2, 3), (4, 5), (6, 6), and (8, 9). Which of the following points would be considered an outlier if it was also graphed on the scatter plot?

a)

A. (3, 4)

b)

B. (4, 6)

c)

C. (5, 1)

d)

D. (10, 11)

64.

The scatter plot represents the number of cookies and brownies ordered on different days at a bakery. Which statement BEST describes the relationship between the number of cookies and brownies ordered?

a)

There is a positive association between the number of cookies ordered and the number of brownies ordered.

b)

There is no association between the number of cookies ordered and the number of brownies ordered.

c)

There is a nonlinear association between the number of cookies ordered and the number of brownies ordered.

d)

There is a negative association between the number of cookies ordered and the number of brownies ordered.

65.

A scatterplot is shown. Which choice represents a line that best fits the data?

a)

A) y = x + 1

b)

B) y = x + 3

c)

C) y = 2x + 1

d)

D) y = 2x + 3

66.

A scatterplot with a linear model is shown. Which best describes the linear model?

a)

The linear model does not describe the data well because there are not the same amount of points above the line as below the line.

b)

The linear model describes the data well because the points are scattered above and below the line.

c)

The linear model does not describe the data well because it does not go through any of the points.

d)

The linear model describes the data well because some of the points are close to the line.

67.

According to the graph, about how many books did Kim read each week?

a)

2/3

b)

1 1/2

c)

2 1/2

d)

15

68.

The relationship between a person's age in years and maximum heart rate in beats per minute can be modeled by the equation y = 220 - x, where x is the person's age and y is his or her maximum heart rate. Which of these statements is true according to the model?

a)

For each year a person ages, his or her maximum heart rate decreases by 220 beats per minute.

b)

For each year a person ages, his or her maximum heart rate decreases by 1 beat per minute.

c)

For each year a person ages, his or her maximum heart rate increases by 1 beat per minute.

d)

For each year a person ages, his or her maximum heart rate increases by 220 beats per minute.

69.

The table shows the high temperatures and the numbers of snow cones sold at a snack bar on seven days.

Which scatterplot best represents the data in the table?

a)

b)

c)

d)

70.

Label the graphs

a)

just linear

b)

no association

c)

+ linear

d)

+ non linear

e)

- linear

f)

- non linear

1

2

3

4

5

6

1)

2)

3)

4)

5)

6)

71.

Graph the scatter plot

2, 2

-4, -5

6, 5

2, -4

-4, 0

-8, -5

6, 1

0, 2

-5, -4

3, 7

72.

If a straight line can be drawn to follow the overall trend of a scatter plot, it is _.

a)

linear

b)

strong

c)

weak

d)

nonlinear

73.

Hector surveyed 500 people and asked them how far they drive to work and what the last digit of their phone number is. He used the results to make a scatter plot. What type of association should he expect to see in the scatter plot?

a)

Positive Association

b)

Negative Association

c)

No Association

74.

What type of association?

The outside temperature and the amount of layers you wear.

a)

Positive association

b)

Negative association

c)

No association

d)

All of the above

75.

Identify the type of association.
The amount of gas left in the car and the number of miles driven.

a)

Positive

b)

Negative

c)

None

76.

What is the age of the tree that is 8 feet tall?

a)

6 Years

b)

7 Years

c)

8 Years

d)

9 Years

77.

Based on the graph, if Joe earned $400, how many hours did he work?

a)

25 hours

b)

35 hours

c)

45 hours

d)

15 hours

78.

A function is shown on the graph below. Which statement is true?

a)

The function is increasing only when x is less than 0.

b)

The function is increasing when x is between than 0 and 2.

c)

The function is increasing only when x is greater than 2.

d)

The function is increasing when x is less than 0 and greater than 2.

79.

The graph of a function is shown. At what point is the function increasing?

a)

The function is increasing when x is between 0 and 2.

b)

The function is increasing when x is between 0 and 3.

c)

The function is increasing when x is between 0 and 4

d)

The function is increasing when x is between -1 and 0.

80.

A function is shown on the graph below. Which statement is true?

a)

The function is decreasing when x is less than -1 and less than 3.

b)

The function is increasing when x is greater than -1 and less than 3.

c)

The function is decreasing when x is greater than -1 and less than 3.

d)

The function is increasing when x is greater than -1 and greater than 3.

81.

The graph of a function is shown. At what point is the function increasing?

a)

The function is increasing when x = 0

b)

The function is increasing when x = -3

c)

The function is increasing when x > 0

d)

The function is increasing when x > -3

82.

Tony leaves home walking at a constant rate. Along the way, he stops for a few minutes to speak to Bob, then continues walking at a constant rate to the store. After leaving the store, he jogs all the way home. Which distance-time graph matches the situation?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

83.

Ralph walked along a straight path at a constant speed, from his school to a nearby park.

- When he arrived at the park, he sat down on a park bench to rest for a while.

- Then he walked back to the school along the same straight path, but at a faster constant speed than he had used while walking to the park.

Which graph represents this situation?

a)

Graph A

b)

Graph B

c)

Graph C

d)

84.

This shows a graph. Where is the function increasing?

a)

The function increases when x > -3

b)

The function increases when x > 0

c)

The function increases when x > 1

d)

The function increases when x > 2

85.

This shows a graph of a function. Where is the function decreasing?

a)

The function decreases when x is less than -7.

b)

The function decreases when x is greater than -6.

c)

The function decreases when x is between 0 and 4.

d)

The function decreases when x is between -6 and 0.

86.

Roberto deposited $100 into a savings account that earns 2.5% interest. This graph shows the total amount in the account based on the number of years since Roberto opened the account. Other than the initial deposit, when did Roberto deposit money into the savings account?

a)

He deposited money at the beginning of the fifth year.

b)

He deposited money at the beginning of the eighth year.

c)

He deposited money between the fifth and eighth years.

d)

He deposited money between the eighth and tenth years.

87.

Tia began filling the bathtub at a constant rate.

She then turned off the water for a while and some of the water drained out of the bathtub.

Tia turned the water back on at the same rate as before until the bathtub was full.

Which graph best represents Tia filling the bathtub?

a)

A

b)

B

c)

C

d)

D

88.

David uses a graph to record deposits into his savings account. He deposits money in his account each week and does not withdraw any money. The total amount of money deposited, y, is modeled by the equation y = 10x + 50, where x is the number of weeks since he opened the savings account. Which graph represents this equation?

a)

Graph A

b)

Graph B

c)

d)

89.

Leanne is x years old, and Will is y years old. Will is 4 years older than Leanne. The equation y = x + 4 models their ages. Which graph represents this equation?

a)

b)

c)

d)

90.

The table of values shows the number of minutes since Raul got online at an Internet cafe and the total amount he paid up until that point. If x is the number of minutes since Raul got online and y is the total amount he paid in dollars, which equation models this situation?

a)

A. x = 0.06y + 4

b)

B. x = 0.12y + 4

c)

C. y = 0.06x + 4

d)

D. y = 0.12x + 4

91.

A company charges a fee of $2,000 plus $3 per mile to transport some equipment by truck. The relationship between the number of miles the truck is driven, d, and the cost for transporting the equipment, c, is modeled by the equation c = 3d + 2000. Which graph shows this relationship?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

92.

The table below shows the total amount a company charges a homeowner to clean the carpets in different numbers of rooms.

Which equation determines (d), the cost in dollars to clean (n) rooms?

a)

d = 29r + 10

b)

$d=\frac{1}{29}r+10$

c)

d = 29r

d)

d = 3r + 7

93.

The table shows how the amount of birdseed in a bird feeder changes over time.

Which equation describes the relationship between the time in days (t) and the amount in ounces (A)?

a)

A = 16 - 0.6t

b)

A = 16 - 0.3t

c)

A = 16 - 3t

d)

A = 16 - 6t

94.

Which relation is a function?

a)

Option A

b)

Option B

c)

Option C

d)

Option D

95.

The shows a relation and a missing value of m. Which choice produces a function when used in place of m?

a)

7

b)

8

c)

9

d)

10

96.

Deshuan is a plumber who charges $40 per hour for his work. Another plumber, Silvio, charges based on the equation d = 60 + 20h, where h is the number of hours worked and d is the number of dollars charged. Which statement is true?

a)

A: Deshaun is less expensive than Silvio no matter how long the job takes.

b)

B: Deshaun is more expensive than Silvio if the job takes less than 3 hours.

c)

C: Deshaun is more expensive than Silvio no matter how long the job takes.

d)

D: Deshaun is less expensive than Silvio if the job takes less than 3 hours.

97.

Julio's car can travel 300 miles on one 12-gallon tank of gas. Viet's car uses gas as described by the equation m = 13g, where m is the miles traveled and g is the gallons of gas used. Which statement is true?

a)

A: Viet's car uses 13 gallons of gas for every mile it travels.

b)

B: Julio's car can travel more miles than Viet's car in the same amount of time.

c)

C: Julio's car can travel more miles per gallon of gas than Viet's car can.

d)

D: Julio's car can travel 12 miles using 1 gallon of gas.

98.

Which equation represents a linear function?

a)

y = 12/x

b)

y = 12(2)^x

c)

y = 12x + 2

d)

y = 12x^2 + 2

99.

Which table of values represents a linear function?

a)

Table A

b)

Table B

c)

Table C

d)

Table D

100.

Which situation below is representative of y-intercept?

a)

putting $300 a month into savings

b)

buying $30 worth of supplies for a lemonade stand

c)

Spending $3 per ride at the fair

d)

Paying $2 for parking every day

101.

Match the description of the graph shown below.

a)

Initial Cost

1.

$20

b)

Cost per visit

2.

$10

c)

Cost of 2 visits

3.

$40

102.

Graph the following Linear function $y=4x-6$

103.

Graph the linear function below:

$f\left(x\right)=\frac{1}{2}x-4$

104.

These points have been graphed on a scatter plot: (2, 3), (4, 5), (6, 6), and (8, 9). Which of the following points would be considered an outlier if it was also graphed on the scatter plot?

a)

A. (3, 4)

b)

B. (4, 6)

c)

C. (5, 1)

d)

D. (10, 11)

105.

The scatter plot represents the number of cookies and brownies ordered on different days at a bakery. Which statement BEST describes the relationship between the number of cookies and brownies ordered?

a)

There is a positive association between the number of cookies ordered and the number of brownies ordered.

b)

There is no association between the number of cookies ordered and the number of brownies ordered.

c)

There is a nonlinear association between the number of cookies ordered and the number of brownies ordered.

d)

There is a negative association between the number of cookies ordered and the number of brownies ordered.

106.

A scatterplot is shown. Which choice represents a line that best fits the data?

a)

A) y = x + 1

b)

B) y = x + 3

c)

C) y = 2x + 1

d)

D) y = 2x + 3

107.

A scatterplot with a linear model is shown. Which best describes the linear model?

a)

The linear model does not describe the data well because there are not the same amount of points above the line as below the line.

b)

The linear model describes the data well because the points are scattered above and below the line.

c)

The linear model does not describe the data well because it does not go through any of the points.

d)

The linear model describes the data well because some of the points are close to the line.

108.

According to the graph, about how many books did Kim read each week?

a)

2/3

b)

1 1/2

c)

2 1/2

d)

15

109.

The relationship between a person's age in years and maximum heart rate in beats per minute can be modeled by the equation y = 220 - x, where x is the person's age and y is his or her maximum heart rate. Which of these statements is true according to the model?

a)

For each year a person ages, his or her maximum heart rate decreases by 220 beats per minute.

b)

For each year a person ages, his or her maximum heart rate decreases by 1 beat per minute.

c)

For each year a person ages, his or her maximum heart rate increases by 1 beat per minute.

d)

For each year a person ages, his or her maximum heart rate increases by 220 beats per minute.

110.

The table shows the high temperatures and the numbers of snow cones sold at a snack bar on seven days.

Which scatterplot best represents the data in the table?

a)

b)

c)

d)

111.

Label the graphs

a)

just linear

b)

no association

c)

+ linear

d)

+ non linear

e)

- linear

f)

- non linear

1

2

3

4

5

6

1)

2)

3)

4)

5)

6)

112.

Graph the scatter plot

2, 2

-4, -5

6, 5

2, -4

-4, 0

-8, -5

6, 1

0, 2

-5, -4

3, 7

113.

If a straight line can be drawn to follow the overall trend of a scatter plot, it is _.

a)

linear

b)

strong

c)

weak

d)

nonlinear

114.

Hector surveyed 500 people and asked them how far they drive to work and what the last digit of their phone number is. He used the results to make a scatter plot. What type of association should he expect to see in the scatter plot?

a)

Positive Association

b)

Negative Association

c)

No Association

115.

What type of association?

The outside temperature and the amount of layers you wear.

a)

Positive association

b)

Negative association

c)

No association

d)

All of the above

116.

Identify the type of association.
The amount of gas left in the car and the number of miles driven.

a)

Positive

b)

Negative

c)

None

117.

What is the age of the tree that is 8 feet tall?

a)

6 Years

b)

7 Years

c)

8 Years

d)

9 Years

118.

Based on the graph, if Joe earned $400, how many hours did he work?

a)

25 hours

b)

35 hours

c)

45 hours

d)

15 hours

119.

These points have been graphed on a scatter plot: (2, 3), (4, 5), (6, 6), and (8, 9). Which of the following points would be considered an outlier if it was also graphed on the scatter plot?

a)

A. (3, 4)

b)

B. (4, 6)

c)

C. (5, 1)

d)

D. (10, 11)

120.

Ashley created a scatter plot to represent the distance she ran for different lengths of time. On one of her runs, Ashley took longer to run than what is normally predicted by her line of best fit. Of all her runs where she was slower than predicted, this run had the greatest difference between her actual run time and her predicted run time. Which point represents this run?

a)

A. A

b)

B. B

c)

C. C

d)

D. D

121.

The scatter plot represents the number of cookies and brownies ordered on different days at a bakery. Which statement BEST describes the relationship between the number of cookies and brownies ordered?

a)

There is a positive association between the number of cookies ordered and the number of brownies ordered.

b)

There is no association between the number of cookies ordered and the number of brownies ordered.

c)

There is a nonlinear association between the number of cookies ordered and the number of brownies ordered.

d)

There is a negative association between the number of cookies ordered and the number of brownies ordered.

122.

Which of the following scatter plots shows linear association?

a)

A

b)

B

c)

C

d)

D

123.

A scatterplot with a linear model is shown. Which best describes the linear model?

a)

The linear model does not describe the data well because there are not the same amount of points above the line as below the line.

b)

The linear model describes the data well because the points are scattered above and below the line.

c)

The linear model does not describe the data well because it does not go through any of the points.

d)

The linear model describes the data well because some of the points are close to the line.

124.

A scatterplot is shown. Which equation best models the data in the scatterplot?

a)

y = x + 50

b)

y = x + 60

c)

y = 5x + 50

d)

y = 5x + 60

125.

A scatterplot is shown. Which choice represents a line that best fits the data?

a)

y = x + 1

b)

y = x + 3

c)

y = 2x + 1

d)

y = 2x + 3

126.

This shows a scatterplot. Which equation best fits the data on the scatterplot?

a)

y = -2x + 9

b)

y = 2x + 9

c)

y = -1/2x + 9

d)

y = 1/2x - 9

127.

A scatterplot is shown. Which equation best models the data represented in the scatterplot?

a)

y = -5x + 300

b)

y = -3x + 300

c)

y = -5x + 275

d)

y = -3x + 275

128.

Over her summer break, Kim had to read a total of fifteen books before school started again in the fall. She tracked her progress weekly and made the following graph. According to the graph, about how many books did Kim read each week?

a)

2 3/4

b)

1 1/2

c)

2 1/2

d)

15

129.

The relationship between the number of dollars per month that a company spends on advertising and its monthly sales can be modeled by the equation y = 0.1x + 10,000, where x is the amount spent on advertising and y is the monthly sales. According to the model, what will be the company's monthly sales if it spends no money on advertising?

a)

$0

b)

$1,000

c)

$10,000

d)

$100,000

130.

The relationship between the time since Captain Summers became a ship captain and his total number of hours at sea can be modeled by the equation y = 800x + 2,200, where x is the time since he became a ship captain in years and y is his total number of hours at sea. How many hours at sea did Captain Summers have when he first became a ship captain?

a)

A. 800

b)

B. 1,400

c)

C. 2,200

d)

D. 3,000

131.

The relationship between a person's age and the monthly cost to cover that person with a certain life insurance policy can be modeled by the equation y = 0.5x + 10, where x is the person's age and y is the monthly cost in dollars. Which of these statements is true according to the model?

a)

A. It costs $20 a month to cover a 40-year-old.

b)

B. It costs $30 a month to cover a 40-year-old.

c)

C. It costs $40 a month to cover a 20-year-old.

d)

D. It costs $40 a month to cover a 30-year-old.

132.

The scatter plot shows the relationship between the number of chapters and the total number of pages for several books. Use the trend line to predict how many chapters would be in a book with 180 pages.

a)

12 chapters

b)

15 chapters

c)

18 chapters

d)

21 chapters

133.

A youth soccer team has eight players. The table shows the height and the weight of each of the eight players.

Which scatterplot best represents the data in the table?

a)

b)

c)

d)

134.

WHAT IS THE ESTIMATED AMOUNT OF SALES AT 21 DEGREES?

a)

600

b)

400

c)

480

d)

510

135.

a)

F

b)

G

c)

H

d)

J

136.

Find the point of intersection of the lines: ( y = 4x + 1 ) and ( y = -2x + 4 ).

a)

A. (2, 9)

b)

B. ( $\frac{1}{2}$ , 3)

c)

C. (1, 2)

d)

D. ( $\frac{1}{4}$ , 2)

137.

Which statement correctly describes the solution to this system of equations?

-3x + 2y = -22

-5y = -4x + 27

a)

A. There is no solution

b)

B. There are infinitely many solutions

c)

C. There is exactly one solution at (1, 8)

d)

D. There is exactly one solution at (8, 1)

138.

The grid below shows a system of linear equations. Which coordinate pair represents the solution for the system?

a)

A) (-3,1)

b)

B) (0,7)

c)

C) (-3,5)

d)

D) (3,-1)

139.

What is the solution to the system of equations shown in the graph?

a)

(-5, 2)

b)

(2, -5)

c)

No solution

d)

All real numbers

140.

The lines 2x - y = 8 and 4x - 2y = 16 intersect at _______.

a)

2 points

b)

1 point

c)

an infinite number of points

d)

There are no intersection points.

141.

What is the solution of the system of equations shown below?

3x + 2y = 8

5x + 2y = 12

a)

(-2, 7)

b)

(2, 1)

c)

( $\frac{4}{3}$ , 2)

d)

(2, 4)

142.

There are (a) solutions to this equation: 8x - 6 = 2(4x + 3).

Choose from the below words

no solutions

one solution

two solutions

infinite solutions

143.

Alex simplified an equation as far as he could and determined that his equation has an infinite number of solutions. Which simplified equation leads Alex to this conclusion?

a)

x = 5

b)

x = 0

c)

5 = 5

d)

5 = -5

144.

What is the solution to the following equation? -2(4x + 3) = 5 + 3x

a)

x = -1

b)

x = -1/11

c)

The equation has no solution.

d)

The equation has an infinite number of solutions.

145.

Which of these equations has NO solution?

a)

3(2x+7) = 6x + 21

b)

3(6x - 5) = 3(6x - 5) + x

c)

8x - 3 + 14 = 2(4x + 5)

d)

13x - 7 = 12x - 1 + x + 5

146.

Solve the equation: 2(3x+4) - 3(x+1) = 11

a)

x = 0

b)

x = 2

c)

x = 3

d)

x = 16/3

147.

Solve.

$-8x+7<15$

a)

$x>1$

b)

$x<1$

c)

$x>-1$

d)

$x<-1$

148.

Simplify. 2⁵ * 2^-4

a)

1/2

b)

2

c)

2^-9

d)

2^-20

149.

What is the value of x if x²- 5 = 31?

a)

5

b)

6

c)

13

d)

18

150.

What is the value of $\frac{4^4\times4^3}{4^6}$ ?

a)

4

b)

16

c)

64

d)

4096

151.

What is the value of $\sqrt[]{36}\ +\ \sqrt[]{121}$ ?

a)

6

b)

11

c)

17

d)

29

152.

Which expression shows the value of x in the equation x³ = 64?

a)

$\sqrt[]{4}$

b)

$\sqrt[3]{64}$

c)

$\frac{64}{3}$

d)

64³

153.

What is the value of x in the equation 6^x = 216?

a)

2

b)

3

c)

36

d)

72

154.

Is √15 located between points M and N on the number line below?

a)

No, because it is not greater than 3 and less than 4.

b)

No, because it is not greater than 9 and less than 16.

c)

Yes, because it is greater than $\sqrt[]{9}\ and\ \ less\ than\ \sqrt[]{16}$ .

155.

Based on the fact that √49 = 7 and √64 = 8, which of the following options could be an approximation for √59?

a)

6.24

b)

7.68

c)

8.31

d)

9.43

156.

Which of the points plotted on the number line could represent √5?

a)

F

b)

G

c)

H

d)

K

157.

Which statement about the location of √7 on a number line is true?

a)

It is located at the number 7 on the number line.

b)

It is located at the number 3.5 on the number line.

c)

It is located between the numbers 2 and 3 on the number line.

d)

It is located between the numbers 4 and 9 on the number line.

158.

How much greater is √47 than √37?

a)

Exactly 1

b)

Exactly 10

c)

A little less than 1

d)

A little more than 3

159.

Which integers, when placed in the boxes shown below, make the inequality true?

a)

7 and 8

b)

6 and 7

c)

-7 and -6

d)

-8 and -7

160.

Which choice is a rational number?

a)

5.33333333.....

b)

√28

c)

∛21

d)

6/π

161.

Which choice is a rational number?

a)

√49

b)

3π

c)

∛30

d)

8/π

162.

Which choice is an irrational number?

a)

12π/3π

b)

π³

c)

∛125

d)

(√49)/5

163.

Which choice is an irrational number?

a)

√121

b)

√149

c)

√169

d)

√196

164.

Which choice is an irrational number?

a)

35.623

b)

(4π)/π

c)

√(5²)

d)

√12

165.

Which choice is an irrational number?

a)

√14

b)

√36

c)

42/60

d)

6²

(ALL) NC 8th Math EOG Prep

Total questions: 165

Worksheet time: 5hrs 24mins

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