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Final Review 8th Grade 2022 Math

Total questions: 76

Worksheet time: 3hrs 42mins

Name
Class
Date
1.
How would you write 0.0005 in scientific notation?
a)
50 x 105
b)
5 x 104
c)
5 x 103
d)
.5 x 103
2.
Express the following in scientific notation:
.000457
a)
457 x 106
b)
457 x 10-6
c)
4.57 x104
d)
4.57 x 10-4
3.
Write 7.8 x 10-3  in standard form.
a)
0.0078
b)
7,800
c)
78
d)
0.078
4.
Find the slope:
a)
2
b)
-2
c)
1/2
d)
-1/2
5.
Find the slope
a)
4/5
b)
5/4
c)
-5/4
d)
-4/5
6.
Find the slope:
(8,5) and (-9, 5)
a)
Zero
b)
Undefined 
c)
-10/17
d)
-10/1
7.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
8.
What is the y-intercept of this graph?
a)
(0,1)
b)
(0,-2)
c)
(0,0)
d)
(0,3)
9.

Find the slope of the line that passes through points:

(19, -16) and (-7, -15)

a)

-26

b)

26

c)

-1/26

d)

1/26

10.
What type of slope does the following graph have?
a)
Postive
b)
Negative
c)
Zero Slope
d)
Undefined
11.
What is the slope in the equation y=2x + 3?
a)
2
b)
3
c)
5
d)
Cannot be Determined 
12.
What does 'b" represent in y=mx+b
a)
y-intercept
b)
macaroni
c)
nothing
d)
slope
13.
Write the equation for the line in slope-intercept form.
a)
y= -1x+3
b)
y= 4x+3
c)
y=1/4x+3
d)
y= -4x+3
14.
Find the slope
a)
-5/7
b)
7/5
c)
-7/5
d)
5/7
15.
What is the y-intercept in the equation y= -2x + 5
a)
-2
b)
3
c)
5
d)
Cannot be Determined
16.
a)
y = 4/5x + 3
b)
y = -5/4x + 3
c)
y = 5/4x + 4
d)
y = -4/5x + 3
17.
 y varies directly with x, and y is 84 when x is 16. What is the constant of proportionality?
a)
y = (21/4)x
b)
k= 21
c)
k= 5.25
d)
k= 4/21
18.
In a direct variation, y=39 when x=3.  Find the value of y when x=2.
a)
26
b)
3
c)
58.5
d)
2
19.
 y varies directly with x, and y is 16 when x is 32. Which equation represents this situation?
a)
y=32x
b)
y=16x
c)
y=2x
d)
y=(1/2)x
20.
Find the volume of the cylinder.
a)
282.6
b)
516.2
c)
133
d)
214
21.
Given a cylinder with the height of 10cm and the base radius of 9cm. Find the volume of this cylinder to the nearest tenth.  
a)
810 cm3
b)
2543.4 cm3
c)
847.8 cm3
d)
2826 cm3
22.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
23.
Find the volume of the sphere. Round your answers to the nearest tenth if necessary. Use 3.14 for π. 
a)
310.2 cm3
b)
379.2 cm3
c)
240.8 cm3
d)
456  cm3
24.
A styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
a)
7234.6 cm3
b)
7984.6 cm3
c)
8934.4 cm3
d)
6034.7 cm3
25.
V = ?
a)
1,356 m3
b)
1,734 m3
c)
377 m3
d)
590 m3
26.
What's the volume of this sphere?
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
27.
A can of juice is 10 cm across and 13 cm tall. If you need 7,100 cm3 of juice, how many cans will you need to buy?
a)
5 cans
b)
6 cans
c)
7 cans
d)
8 cans
28.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
29.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
30.
Find the surface area of the triangular prism.
a)
196 ft2
b)
96 ft2
c)
98 ft2
d)
108 ft2
31.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
32.

Find the total surface area of the cylinder.

a)

140.25 cm2

b)

439.82 cm2

c)

219.91 cm2

d)

192.25 cm2

33.
Find the lateral surface area of the cylinder.
a)
471.24 square centimeters
b)
157.08 square centimeters
c)
314.16 square centimeters
d)
296.72 square centimeters
34.
What is the lateral area of the prism?
a)
299 units2
b)
21 units2
c)
320 units2
d)
 784.9 units2
35.
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.
36.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
37.
a)
Function
b)
Not a Function
38.
Is this mapping a function or not a function? 
a)
Function
b)
Not a Function
39.
Is this table a function or not a function? 
a)
Function
b)
Not a Function
40.
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)
41.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
42.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function 
43.
Is this graph a function or not a function? 
a)
Function 
b)
Not a Function
44.
Give the domain and range. Tell if it is a function.
a)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Function
b)
D: {-4, -2, 0, 2}
R: {-2, 1}
Function
c)
D: {-4, -2, 0, 2}
R: {-2, -2, 1, 1}
Not a Function
d)
D: {-4, -2, 0, 2}
R: {-2, 1}
Not a Function
45.
All of the y values or outputs are called what?
a)
Domain
b)
Range
c)
Relation
d)
Function
46.
For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.
a)
D: {1, -3, -4,}
R: {0, 1, 2, -4}
b)
D:{0, 1, 2, -4}
R:{1, -3, -4}
c)
D:{0, 1, 2, 3, 4}
R:{1, -3, -4}
47.
What is the range of the following relation:
(9, -2) (4, 3)  ( 8, 10) ( -4, 8)
a)
-4, 4, 8, 9
b)
-2, 3, 8, 10
c)
(9, -2) ( 4, 3)
d)
(8, 10) (-4, 8)
48.
Evaluate f(x)=-2x+13   for f(10)
a)
-7
b)
1
c)
-8
d)
7
49.
Find the Mean Absolute Deviation:  10, 9, 3, 8, 10.  The Mean is 8
a)
3
b)
5
c)
1
d)
2
50.
Classify the Number: -23
a)
Rational
b)
Real, rational, integer
c)
integer
d)
Real, irrational, whole
51.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
52.
Which statement is NOT true?
a)
Every rational number is a real number.
b)
Every counting number is a whole number.
c)
Every integer is a rational number.
d)
Every decimal number is an irrational number.
53.
Which of the following statements is always true?
a)
All integers are whole numbers
b)
all rational numbers are integers
c)
some whole numbers are not rational numbers
d)
all whole numbers are integers
54.
Which number is an irrational number?
a)
√9
b)
√49
c)
√100
d)
√120
55.
A never ending decimal is which type of number?
a)
Rational 
b)
Irrational
56.
About how many male math teachers were there in 2006?
a)
15
b)
30
c)
35
d)
45
57.
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
58.
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
59.
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
60.
What type of association does this scatter plot represent?
a)
positive linear association
b)
negative linear association
c)
no association
d)
nonlinear association
61.
What type of association (correlation) does this graph have?
a)
positive 
b)
negative
c)
none
d)
all of the above
62.
The number of siblings you have and your weight. 
a)
Positive correlation
b)
Negative correlation
c)
No correlation
63.
Starting money = $350.
Interest rate = 2.5%
TIme = 3 years.
How much interest?
a)
$7.50
b)
$26.25
c)
$87.5
d)
$262.50
64.

Calculate the interest. I = PRT,

Principal = $1000,

Rate = 6%,

Time = 2 years

a)

$100

b)

$120

c)

$180

d)

1200

65.
Beyonce went to the mall and saw a massage chair that she would have to take a loan out for $6500 to purchase.  The bank said that she could get a simple interest rate of 8% for 5 years.  What is the total amount that Beyonce will pay for the chair?
a)
$2600
b)
$910
c)
$9100
d)
$260
66.
Jerry borrowed $4,000 for 5 years at 6% simple interest rate. How much interest is that?
a)
$800
b)
$1,000
c)
$1,200
d)
$1,500
67.
Anna invested $2,500 at an annual rate of 5%.  How long will it take until Anna earns $1,125 in interest?
a)
5 years
b)
8 years
c)
10 years
d)
9 years
68.
Emilio borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
69.
Beyonce went to the mall and saw a massage chair that she would have to take a loan out for $6500 to purchase.  The bank said that she could get a simple interest rate of 8% for 5 years.  What is the total amount that Beyonce will pay for the chair?
a)
$2600
b)
$910
c)
$9100
d)
$260
70.
Find the total amount in the account to the nearest cent if the interest is compounded annually. 
$2750 at 8% for 2 years
a)
$2200.00
b)
$3207.60
c)
$8910.00
d)
$2750
71.
Justin felt it wasn't to late to say sorry and borrows $1200 from a bank with 8% simple interest per year.  How much will he have to pay back total in 2 years?
a)
$150
b)
$192
c)
$1350
d)
$1392
72.

Bruno was given $2000 when he turned 3 years old. His parents invested it at a 2% interest rate compounded annually. No deposits or withdrawls were made. Which expression can be used to determine how much money Bruno had in the account when he turned 16?

a)

2000(1+0.02)13

b)

2000(1-0.02)13

c)

2000(1+0.02)16

d)

2000(1-0.02)16

73.
Find the following Balance:
$600 invested at 6% compounded annually for 7 years.
a)
$2273.04
b)
$1080.57
c)
$1057.95
d)
$902.18
74.
List the following numbers from least to greatest:
-64 , 3.5 , √27 , 6.666...
a)
-64 , 3.5 , √27 , 6.666...
b)
3.5 , √27 , 6.666..., -64
c)
3.5, -64, √27, 6.666...
d)
6.666, √27, -64, 3.5
75.
Point B could represent which of the following numbers?
a)
√24
b)
√30
c)
√35
d)
√42
76.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5