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The Entire 8th Grade (EOG Review)

Total questions: 88

Worksheet time: 5hrs 44mins

Name
Class
Date
1.
a)

A

b)

B

c)

C

d)

D

2.
a)

A

b)

B

c)

C

d)

D

3.



(a)  

4.

Find the distance between (-9, -1) and (-2, -6).

a)

8.6

b)

12.1

c)

9.9

d)

13.0

5.
Calculate the length of Mary's trip.
a)
10 miles
b)
14 miles
c)
24 miles
d)
28 miles
6.
How would you write 4.3756 x 10in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
7.
Express the following in scientific notation:
10,030,400,000
a)
1.00304 x 109
b)
1.00304 x 1010
c)
1.00403 x 1010
d)
1.00304 x10-10
8.
Express the following in scientific notation:
.000045
a)
4.5 x 10-5
b)
45 x 10-6
c)
4.5 x105
d)
45 x 106
9.
Write the answer in scientific notation.
4.1 x 105 +   5.5 x 106  =

a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
10.
Write the answer in scientific notation.
5 x 108 -   3.4 x 108  =
a)
2.4 x 108
b)
2.4 x 100
c)
1.6 x 100
d)
1.6 x 108
11.
Solve by graphing.
y = 2x + 1
y = 4x - 1
a)
(1,3)
b)
(-1,-3)
c)
(-1,3)
d)
(3,1)
12.
What is the solution?
a)
No solution
b)
(0, 2)
c)
(0, -4)
d)
(3, -3)
13.
When you graph the exact same equation twice,
a)
you will have no solution. 
b)
you will have one solution.
c)
you will have infinite solutions. 
d)
you will graph a giraffe. 
14.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
15.
How is Quadrilateral EFGH translated to E'F'G'H'?
a)
6 down
b)
6 down, 1 right
c)
6 down, 3 left
d)
8 down, 1 right
16.
Which answer shows a reflection across the y-axis?
a)
a
b)
b
c)
c
d)
d
17.
What are the new dimensions?
a)
F
b)
G
c)
H
d)
J
18.
If you were to rotate ABCD 90° counterclockwise about the origin, what would the coordinate of A' be?
a)
(-5, 5)
b)
(-3, 5)
c)
(-5, 3)
d)
(-3, 3)
19.
Which age group liked Action movies the least?
a)
18-25
b)
25-49
c)
50+
d)
238
20.

How many Females have High School Diplomas?

a)

21

b)

16

c)

44

d)

12

21.
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%
22.
What is the relative frequency for selecting a teen given that the person likes chocolate?
a)
.112
b)
.267
c)
.164
d)
.056
23.
Which of the following could be a possible line of best fit for the data?
a)
y = -5/2x + 20
b)
y = -x + 19
c)
y = x + 20
d)
y = 2/3x + 15 
24.

Which line is the best line of best fit?

a)

a

b)

b

c)

c

d)

i don't see any lines

25.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
26.

What is the equation of the line of best fit?

a)

y= 12x + 6-\frac{1}{2}x\ +\ 6

b)

y= 12x +6\frac{1}{2}x\ +6

c)

y= 6x + 2

d)

y = -2x +6

27.

a)

Function

b)

Not a Function

28.

a)

Function

b)

Not a Function

29.

a)

Function

b)

Not a Function

30.

a)

Function

b)

Not a Function

31.
This graph is about a car. Describe the speed of the car along A?
a)
Parked
b)
Moving at a constant speed
c)
Speed is increasing
d)
Speed is decreasing
32.
This graph is about a car. Describe the speed of the car along C?
a)
Parked
b)
Moving at a constant speed
c)
Speed is increasing
d)
Speed is decreasing
33.
This graph is about a boat. Which best describes the speed of the boat along D?
a)
Docked
b)
Accelerating
c)
Decelerating
d)
Going up a ramp
34.
This graph is about a boat. Which letter(s) represent the boat at the dock?
a)
A & E
b)
C
c)
A, C, & E
d)
D
35.
Divide: (8 x 107) ÷ (2 x 105)
a)
16 x 102
b)
4 x 1012
c)
4 x 102
d)
16 x 1035
36.
Solve:
(2.2 x 10 4) x (7.1x 10 5)
a)
1.562 x 1010
b)
15.62 x 109
c)
15.62 x 1020
d)
1.562 x 1020
37.
Write the answer in scientific notation.
4.1 x 105 +   5.5 x 106  =

a)
5.91 x 106
b)
9.6 x 105
c)
9.6 x 1011
d)
4.65 x 105
38.
(7.2 x 106)-(3.4x 106)
a)
3.8x106
b)
7.7x106
c)
3.7x 106
d)
3.9x106
39.



(a)  

40.

Find the distance between points A and B. Round to the nearest tenth.

(a)  

41.
a)
The top of the ladder is 8.9 ft from the ground
b)
The top of the ladder is 9.2 ft from the ground
c)
The top of the ladder is 16.5 ft from the ground
d)
The top o the ladder is 14.4 ft from the ground
42.
a)
9.2 in
b)
11 in
c)
13 in
d)
9.6 in
43.
A cylindrical container is used to hold dog food. Its volume is approximately 50.27 ft3 and has a radius of 2 ft. What is the height of the container to the nearest foot?
a)
2 feet
b)
4 feet
c)
8 feet
d)
4.5 feet
44.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
45.
Which of the following is the volume of a hemisphere with an 11 foot radius? 
a)
2787.64 ft³
b)
4181.46 ft³
c)
5575.28 ft³
d)
11,150.56 ft³
46.
Find the volume
a)
40π m³
b)
160π m³
c)
400π m³
d)
100π m³
47.

What is the solution to the equation shown below?

a)

-1/3

b)

-1

c)

-2

d)

-7/3

48.

What is the solution to the equation 5.2(2a-1) = 7a +14.6

a)

4.6

b)

5.8

c)

10.2

d)

16.4

49.

What value of x makes the equation below true?

3(x+5) = 4x+2

a)

3

b)

17

c)

13

d)

7

50.
Divide: (8 x 107) ÷ (2 x 105)
a)
16 x 102
b)
4 x 1012
c)
4 x 102
d)
16 x 1035
51.
Solve:
(2.2 x 10 4) x (7.1x 10 5)
a)
1.562 x 1010
b)
15.62 x 109
c)
15.62 x 1020
d)
1.562 x 1020
52.
Divide: (8 x 10-23
÷ (2 x 10-25)
a)
4 x 102
b)
4 x 10-2
c)
4 x 10-48
d)
6 x 102
53.
Find the value of x by using the exterior angle theorem.
a)
A
b)
B
c)
C
d)
D
54.
What is the measure of ∠6?
a)
55
b)
155
c)
45
d)
135
55.
What is the value of x?
a)
-6
b)
22
c)
16
d)
21
56.
Televisions are measured by the length of their diagonal. The TV is advertised as being 36 inches and you measure the length to be 30 inches. What is the height of the TV?
a)
46.9 inches
b)
8.1 inches
c)
19.9 inches
d)
32.9 inches
57.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
58.
Round to the Nearest Tenth: √28
a)
5.6
b)
5.9
c)
5.3
d)
8
59.
Which represents a rational number?
a)
√110
b)
√324
c)
√65
d)
√80
60.

52=x5^2=x  , and 53=y5^3=y

Respond with x, y

(a)  

61.

chose 1 answer

a)

40 + 90

b)

x = 90

c)

90 + x = 40

d)

40 - x = 90

62.
a)

a = 45 b = 50

b)

a = 45 b = 85

c)

a = 50 b = 85

d)

a = 75 b = 75

63.

1 = 45°\angle1\ =\ 45\degree  what is the measure of angle 4 and how do you know?

a)

angle 4 = 45 because they are adjacant angles

b)

angle 4 = 45 because they are vertical angles

c)

angle 4 = 45 because they are alternate angles

d)

angle 4 = 50 because they are not congruent

64.

1 and 8\angle1\ and\ \angle8  are what type of angles?

a)

corresponding  angles

b)

adjacent  angles

c)

alternate interior  angles

d)

alternate exterior angles

65.

4 and 5 \angle4\ and\ \angle5\  are _______   __________  angles

a)

alternate exterior

b)

alternate interior

c)

same side

d)

not equal

66.
Solve for x.
a)
8
b)
-10
c)
-7
d)
6
67.
What is the type of association?
a)
Negative 
b)
no association
c)
positive 
68.
Which scatter plot shows a linear relationship between x and y?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
69.
What type of correlation does this scatter plot show?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
70.
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
71.
The graph shows a line of best fit for data collected on the amount of income earned by lawn companies in relation to the number of yards mowed.  What is the equation of the line of best fit?
a)
y = (3/2) x
b)
y = 30x
c)
y = 30x + 300
d)
y = (3/2)x + 300
72.
The graph above shows a line of best fit for data collected on the distance bicyclists have remaining in relation to the amount of time they have been riding.  What is the equation of the line of best fit?
a)
y = -25x + 170
b)
y = 25x + 170
c)
y = -(5/8) x + 170
d)
y = (5/8) x + 170
73.
Order 3π, √ 10 , and 3.25 from greatest to least.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
74.
Which of the following numbers is irrational?
a)
√8
b)
¾
c)
2
d)
-1.325
75.
Which of the following is rational?
a)
.211232112421125. . . .
b)
π
c)
√25
d)
√12
76.
a)

A

b)

B

c)

C

77.
a)

A

b)

B

c)

C

d)

D

78.
a)

A

b)

B

c)

C

d)

D

79.

The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service. Which service is cheaper for 8 movies in one month?

4 lines
80.

Which company shows a greater rate of change?

4 lines
81.

Which panda will weigh more at 5 weeks?

4 lines
82.

Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?

4 lines
83.

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits.

y = 3x + 10

What does the y-intercept (b) of the graph of this equation represent?

4 lines
84.

Mike is buying a large pizza. The pizza costs $8.00 plus $0.50 for each additional topping. Which function correctly models this situtation?

a)

y=8x+.50

b)

y=.50x+8

c)

y=8x-.50

d)

y=8.50x

85.
Write the equation for the line.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
86.

Find the slope from the table.

a)

-4/1 or -4

b)

1/1 or 1

c)

4/1 or 4

d)

-2/1 or -2

87.
Which equation represents the situation described: Jim charges $150 plus $60 per hour to move furniture.
a)
y = 60x + 150
b)
y = 150x + 60
c)
y = 60x
d)
y = 2.5x + 150
88.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5