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8th EOG Prep Final

Total questions: 61

Worksheet time: 1hrs 1mins

Name
Class
Date
1.
a)
1/2
b)
1/10
c)
1/100
d)
1/9
2.
a)
7/50
b)
14/9
c)
7/45
d)
14/99
3.
In between what two integers is the square root of 44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
4.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
5.
Between which two whole numbers is the 
√20 ?
a)
5 and 6
b)
10 and 2
c)
4 and 5
d)
3 and 4
6.

What is the value of 4 + 23 x 3?

a)

18

b)

30

c)

36

d)

28

7.
Evaluate the expression.   Let g = 3    h = 9 
4h + 2g + 4
a)
42
b)
46
c)
34
d)
58
8.
7.82 x 10-6 is an example of scientific notation. The exponent of -6 tells you your number will be very ________.
a)
Large
b)
Small
c)
Basic
9.
Change from standard form to scientific notation: 12,000,000
a)
12.0  x  107
b)
0.12  x  107
c)
1.2  x  106
d)
1.2  x  107
10.
Try to change the number back to standard form:  6.79  x  104
a)
679,000
b)
6,790
c)
67,900
d)
6,790,000
11.
The mean distance from the sun to Earth is 9.29 x 107 miles. Jupiter's mean distance from the sun is 4.8388 x 108 miles. What is the difference between these two distances in miles? 
a)
4.3092 x 101
b)
3.9098 x 107
c)
3.9098 x 108
d)
5.7678 x 108
12.
A microgram is equal to 1 x 10 -6 grams. How many times greater than a microgram is 1 x 10grams? 
a)
1 x 10-8
b)
1 x 10-4
c)
1 x 104
d)
1 x 108
13.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
14.
Multiply:
(9.4 x 106)(3.2 x 105)
a)
30.08 x 1011
b)
3.8 x 101
c)
3.008 x 1012
d)
2.9375 x 101
15.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
16.
x = x
a)
No Solution
b)
One Solution
c)
Infinite Solutions
d)
Beyond Solutions
17.
How many solutions does the equation have
6x + 3 = 6x + 3
a)
One Solution
b)
No Solution
c)
Infinite Solutions
18.

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.

3x - 8 = 3(x - 4) + 1

a)

one

b)

no solutions

c)

infinite solutions

19.

Solve:

9+2a=34a9+2a=-3-4a  

a)

a = -2

b)

a = 2

c)

a = 5

d)

a = -1

20.

Solve:

2b+4=7+b2b+4=7+b  

a)

b = 1

b)

b = -3

c)

b = -1

d)

b = 3

21.
What is the solution to the system? 
a)
(1,1)
b)
-2
c)
(1, 2)
d)
(1, -1)
22.
Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?
a)
(-3,-8)
b)
(-8,-3)
c)
(3,-8)
d)
(8,3)
23.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
24.
a)
Function
b)
Not a Function
25.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
26.
Does this relation represent a function?
(1,5), (1,6), (1,7), (1,8), (1,9)
a)
Yes
b)
No
27.
You can identify a function from a graph by using the.....
a)
Horizontal Line Test
b)
Eye Test
c)
Vertical Line Test
d)
Diagonal Line Test
28.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
29.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
c)
They are equal
30.
What is the rate of change for the following:
(4,5) (2, 15) 
a)
-1/5
b)
1/5
c)
-5
d)
5
31.
What is the slope of this equation? 
y = 3x - 4 
a)
3
b)
-4
c)
3x
d)
4
32.
Which runner was faster?
a)
Runner A
b)
Runner B
33.
Determine the slope and y-intercept.         y = 3/2x + 3
a)
slope: 5   y-intercept:  (0,3) 
b)
slope: 3/2   y-intercept:  (0,3) 
c)
slope:  4  y-intercept:  (0,3/2)
d)
slope: 1/5   y-intercept:  (0,5) 
34.

The art club collected $15 per member. The amount of money in the account after dues were collected from 17 members was $300. Assume the relationship is linear. Find and interpret the initial value.

a)

The art club had $45 to begin with.

b)

The art club makes $45 per member.

c)

The art club has $300 to start with.

35.

Mr. Lewis is having the exterior of his house painted. The painters charge $35 per hour plus the cost of materials. After 20 hours of work, Mr. Lewis owes the painters $840. Assume the relationship is linear. Which statement is TRUE?

a)

The rate of change is $20 per hour.

b)

The cost of the materials is $840.

c)

The $35 rate of change represents the total cost to paint the house

d)

The cost of the materials was $140.

36.

The cost of having photos taken includes a sitting fee and $12 for each portrait. The cost of 3, 6, and 9 photos respectively is $51, $87 and $123. What is the sitting fee?

a)

The sitting fee is $13.67

b)

The sitting fee is $39.00

c)

The sitting fee is $15.00

d)

The sitting fee is $12.00

37.
Find the Volume of the Cone
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
38.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
39.
Find the Volume if the height is 10 cm and radius 3 cm?
a)
250
b)
200
c)
283
d)
180
40.

The volume of a cylinder is 72π ft72\pi\ ft  and the radius is  6 ft.6\ ft.  What is the height?

a)

h =9 fth\ =9\ ft  

b)

h=36 fth=36\ ft  

c)

h=2 fth=2\ ft  

d)

h = 12 fth\ =\ 12\ ft  

41.

The volume of a cone is  196π ft3.  196\pi\ ft^3.\ \  It's radius is  7 ft.7\ ft.  Find the height.

a)

h=12 fth=12\ ft  

b)

h=28 fth=28\ ft  

c)

h3.5 fth\approx3.5\ ft  

d)

h = 14 fth\ =\ 14\ ft  

42.

Find the radius of a sphere with a volume of  972π in3.972\pi\ in^3.  

a)

9 in.9\ in.  

b)

6.2 in.6.2\ in.  


c)

31.2 in.31.2\ in.  

d)

18 in.18\ in.  

43.

Which of the following describes the sequence of transformations shown? (From A to A' to A")

a)

Reflect across the x-axis and then rotate 90 degrees clockwise around the origin

b)

Rotate 90 degrees clockwise around the origin and then translate down.

c)

Reflect across the x-axis and then reflect across the y-axis.

d)

Translate up and then rotate 90 degrees counterclockwise about the origin.

44.

What sequence of transformations could map ∆ABC onto its image ∆A''B''C''? (Remember: You're transforming from purple, to green, to red.)

a)

a reflection followed by a rotation

b)

a reflection followed by a translation

c)

a translation followed by a rotation

d)

a translation followed by a reflection

45.
∠2 & ∠6 are...
a)
Supplementary angles
b)
Vertical angles
c)
Corresponding angles
d)
Alternate interior angles
46.

In the figure if  m12=74°.m\angle12=74\degree.   Find m4 m\angle4\  and give proper reasoning. 

a)

74°74\degree  because they are corresponding angles.

b)

106°106\degree  because alternate interior angles.

c)

106°106\degree  because corresponding angles.

d)

undefined because they are consecutive interior angles.

47.

Solve for x and give proper reasoning.

a)

x=8 because if two \parallel lines are cut by a transversal then alternate interior angles are \cong .

b)

x=9 because if two undefined lines are cut by a transversal then consecutive interior angles areundefined .

c)

x=4 because if two undefined lines are cut by a transversal then corresponding angles areundefined .

d)

x=9 because if two undefined lines are cut by a transversal then alternate exterior angles areundefined .

48.
What is the measure of angle b?
a)
36o
b)
56o
c)
63o
d)
117o
49.
Find the measure of the missing angle.
a)
90o
b)
100
c)
130o
d)
50o
50.
What is the value of x?
a)
8
b)
22.5
c)
11.25
d)
60
51.

Level 1

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

52.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

53.

Level 3

Find the length of the missing side.

a)

20 in.

b)

68 in.

c)

16 in.

d)

80 in.

54.
Find the distance.
a)
7.1
b)
7.8
c)
(6, 4.5)
d)
(2.5, 8)
55.
What is the distance between the two points?
a)
6.3
b)
6.5
c)
6.7
d)
16
56.
What type of association does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
57.
What is the type of association?
a)
Negative 
b)
no association
c)
positive 
58.
Which sentence describes the relationship shown on this scatterplot?
a)
As the temperature decreases, the visitors increase. 
b)
As the temperature increases, the number of visitors increases. 
c)
As the visitors increase, the temperature decreases. 
d)
No correlation
59.

How many total people have blue eyes?

a)

2

b)

12

c)

10

d)

50

60.
What percentage of males drive sports cars?
a)
35%
b)
16.25%
c)
65%
d)
25%
61.
How many people purchased no food and no drink?
a)
60
b)
10
c)
20
d)
200