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8th Grade Final

Total questions: 50

Worksheet time: 2hrs 25mins

Name
Class
Date
1.

Write the following in Exponential Form

4 x 4 x 4 x 4 x 4

a)

45

b)

54

c)

1,024

2.

Which is equivalent to


7 x 7 x 7 x 7 x 7 x 7 ?

a)

75

b)

76

c)

67

d)

77

3.

x9x4\frac{x^9}{x^4}  =

a)

x13x^{13}  

b)

x36x^{36}  

c)

x5x^5  

d)

x−5x^{-5}  

4.

x17x8\frac{x^{17}}{x^8}  

a)

x9x^9  

b)

x25x^{25}  

c)

x−9x^{-9}  

d)

x−25x^{-25}  

5.
Which number is the VALUE?
24 
a)
2
b)
4
c)
16
6.
√31
a)
Rational
b)
Irrational
7.
Which number is irrational?
a)
9.6
b)
√45
c)
3/8
d)
3.4 x 10 ⁵
8.
-13
a)
Rational
b)
Irrational
9.
Write 5/9 as a decimal.
a)
0.59
b)
0.95
c)
0.555...
d)
1.8
10.

Between which two whole numbers does the √32 fall?

a)

4 and 5

b)

5 and 6

c)

6 and 7

d)

7 and 8

11.

Between which two whole numbers does the √22 fall?

a)

3 and 5

b)

3 and 4

c)

4 and 5

d)

5 and 6

12.
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
13.
Change from standard form to scientific notation:  450,000
a)
4.5  x  105
b)
45  x  105
c)
4.5  x  104
d)
4.5  x  106
14.
Change from standard form to scientific notation:  0.000398
a)
39.8  x  10-5
b)
3.98  x  10-5
c)
3.98  x  10-4
d)
39.8  x  10-6
15.
What is the simplified version of
a)
3.9 x 106
b)
4 x 1020
c)
4 x 106
d)
3.9 x 1020
16.
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
17.
(9.6×103) × (6.7×102)
a)
64.32×105
b)
6.432×106
c)
64.32×106
d)
64.32×105
18.
Divide:
(6.9 x 107) / (2.3 x 10-3)
a)
3 x 1010
b)
3 x 104
c)
3 x 10-4
d)
3 x 10-11
19.
What is the solution to this system?
a)
(1, -1)
b)
(-1, 1)
c)
(0, -2)
d)
(2, 0)
20.
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. 
21.
How many solutions will this system have? 
a)
No solution
b)
One Solution
c)
I Don't Know
d)
Infinitely Many Solutions
22.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
23.

Solve the equation:

8v - 4(v + 8) = 8

a)

2

b)

10

c)

4

d)

-4

24.

Solve the equations:

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

25.
What is the solution to this equation?
a)
one solution
b)
no solution
c)
infinite solutions
d)
none of these
26.
Is this set of ordered pairs a function or not a function? 
a)
Function
b)
Not a Function 
27.
Which graph does NOT pass the vertical line test?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
28.
Which set of values is a function?
a)
(9,5) (10,5) (9,-5) (10,-5)
b)
(3,4) (4,-3) (7,4) (3, 8)
c)
(6,-5) (7, -3) (8, -1) (9, 1)
d)
(2, -2) (5, 9) (5, -7) (1, 4)
29.
Find the slope
a)
-5/3
b)
-3/5
c)
5/3
d)
3/5
30.
Find the slope of the line that passes through:
(6,7) and (4,2)
a)
2/5
b)
-5/2
c)
5/2
d)
-1/2
31.
What is the y-intercept?
a)
(0,2)
b)
(6,0)
c)
(2,0)
d)
(0,6)
32.
How would you write the equation with a slope of 2/3 and a y-intercept of -3
a)
y=3/2x+3
b)
y=2/3-3
c)
y=2/3x-3
d)
y=2/3x+3
33.

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a greater y-intercept?

a)

Equation A

b)

Equation B

c)

They have the same slope

34.

What is the volume of the cylinder? Approximate your answer by rounding to the nearest tenth.

a)

60 km3

b)

942.5π km3

c)

942.5 km3

d)

300 km3

e)

188.5 km3

35.
Find the volume of the cone. (Round to the nearest integer.)
a)
1810 in³
b)
151 in³
c)
452 in³
d)
276 in
36.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
37.

Does the set of numbers represent a right triangle?

20, 25, 15

a)

Yes

b)

No

38.
Do the segment lengths 15, 12, and 9 form a right triangle?
a)
Yes
b)
No
c)
Maybe
d)
Pythagoras
39.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
40.
A 10-foot ladder is leaning against the wall.  The bottom of the ladder is 4 feet from the base of the wall.  Which of the following is closest to the distance from the top of the ladder to the base of the wall?
a)
9ft
b)
11ft
c)
6ft
d)
14ft
41.
Angle 1 = 27o
Find the measure of angle 4
a)
27o
b)
153o
c)
63o
d)
90o
42.
If m∠1 = 30°, then m∠3 = 
a)
30°
b)
60°
c)
150°
d)
undetermined
43.
Find the perimeter of the triangle 
a)
27
b)
26
c)
28
d)
29
44.
Describe the association between the number of lanes rented and the number of people bowling.
a)
Non-linear association
b)
Negative linear association
c)
No association
d)
Positive linear association
45.
Which conclusion is best supported by the scatterplot?
a)
As the length of a call increases, the cost of the call increases.
b)
As the length of a call increases, the cost of the call remains the same.
c)
As the length of a call increases, the cost of the call decreases.
d)
There is no relationship between the length of a call and the cost of the call.
46.

If Gold's Gym paid $250 for each TV, how many did they buy?

a)

35

b)

30

c)

45

d)

20

47.

The following scatter plot shows Pam's training as she prepares to run a 6 mile race at the end of the month. Which of the following would be a reasonable approximation for the length of time it would take for her to run 6 miles?

a)

A. 50 min

b)

B. 80 min

c)

C. 45 min

d)

D. 60 min

48.
Which of the following lines represents the line of best fit for the scatter plot?
a)
A
b)
B
c)
C
d)
D
49.
Select the statement that best describes the line.
a)
The line is the line of best fit.
b)
The line is NOT a line of best fit because it does not pass through two points.
c)
The line is NOT a line of best fit because it does not go through the middle of the data set.
d)
The line is NOT a line of best fit because it does not go through the origin.
50.
Identify the transformation from ABC to A'B'C'.
a)
90o clockwise rotation
b)
90o counter clockwise rotation
c)
Reflection across the y-axis
d)
Reflection across the x-axis

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