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8th Grade Math Final Recap

Total questions: 65

Worksheet time: 1hrs 29mins

Name
Class
Date
1.

To which real number set do the following real numbers belong?

a)

Irrational Numbers

b)

Natural Numbers

c)

Rational Numbers

d)

Integers

2.

We know that π (Pi) is approximately equal to 3.141592654... To which subset of the real numbers does π belong?

a)

Irrational Numbers

b)

Rational Numbers

c)

Integers

d)

Natural Numbers

3.

Simplify the expression using exponents.

a)

818

b)

915

c)

98

d)

8115

4.

Write the decimal as a fraction in simplest form

a)
b)
c)
d)
5.

Using exponents, what is the simplified form of this expression?

a)

59

b)

15

c)

514

d)

55

6.

What is the value of 180?

a)

18

b)

0

c)

1

d)

-18

7.

How do you write the standard number 0.00095 in scientific notation?

a)

9.5 x 10-3

b)

9.5 x 10-5

c)

9.5 x 10-4

d)

9.5 x 10-6

8.

Write the standard number 6,267,000 in scientific notation.

a)

62.67 x 106

b)

6.267 x 106

c)

6.267 x 104

d)

6.267 x 107

9.

What is the best estimate for the following.

a)

9.3432...

b)

6.782...

c)

8.2326...

d)

10.7638...

10.

This is between which two integers?

a)

12 and 13

b)

13 and 14

c)

45 and 46

d)

91 and 92

11.

How many times larger is 5 x 107 than 5 x 102?

a)

1 x 106

b)

1 x 104

c)

1 x 105

d)

1 x 109

12.

Which number is equivalent to 5-1?

a)
b)
c)
d)
13.
Slope, in basic terms, is simply...
a)
Rise over run
b)
Run over rise
c)
Left over down
d)
Right over up
14.
In the equation y=mx+b, m is the ____.
a)
Slope
b)
Y-intercept
c)
X-intercept
d)
Origin
15.
In the Pythagorean Theorem, c is always the ____ number.
a)
largest
b)
smallest
c)
middle
d)
first
16.
a)
Function
b)
Not a Function
17.
What is the base in 28 ?
a)
8
b)
2
18.
How do you write
1001
in scientific notation?
a)
1.0001 x 104
b)
1.01 x 105
c)
1.001 x 103
d)
10.1 x 103
19.

Which graph represents a proportional relationship?

a)

F

b)

G

c)

H

d)

J

20.

What is the slope the line?

a)

1/3

b)

-1/3

c)

-3

d)

3

21.

What is the unit rate for one six pack of soda?

a)

$3.00

b)

$3.25

c)

$2.50

d)

$2.25

22.

What is the point of intersection on the given graph?

a)

F. ( 0, 4)

b)

G. (-4, 0)

c)

H. (4, 0)

d)

J. (0, -4)

23.

The cost of apples per pound is represented in the given table. Which of the following equations represents the cost of buying x pounds of apples?

a)

A. y = 0.70x

b)

B. y = 1.70x

c)

C. y = 0.59x

d)

D. y = 1.70x + 1.70

24.

What is the slope and y-intercept of the graph?

a)

F. 2, ( 0, 16)

b)

G. -2, ( 0, 16)

c)

H. 1/2, ( 8, 0)

d)

J. -1/2, ( 8, 0)

25.
Numbers like -3, -2, -1, 0, 1, 2, 3 are called
a)
whole numbers
b)
integers
c)
rational numbers
d)
natural numbers
26.
ANY number raised to a power of 0 will be....
a)
10
b)
itself
c)
1
d)
0
27.
A quarterback completed 18 out of 30 passes.  The percent of passes the quarterback completed was 
a)
18%
b)
36%
c)
54%
d)
60%
28.
A planet has an approximate diameter of 1.83 x 106 km.  What is the distance in standard notation?
a)
183,000,000 km
b)
1,830,000 km
c)
0.000183 km
d)
18,300,000 km
29.
Find the volume of an aquarium that is 15 inches long, 8 inches wide, and 10 inches deep.
a)
1200
b)
33
c)
600
d)
56
30.
A machine can produce 120 plastic dinosaurs in 8 minutes.  How many can it produce in an hour?
a)
900
b)
960
c)
128
d)
720
31.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
32.
solve for c
a)
7
b)
9
c)
4
d)
13
33.
19  + a  =  -50
a)
a = -950
b)
a =  -69
c)
a = -31
d)
a = -50/19
34.
Solve the equation below:
a)
k = 152
b)
k = 176
c)
k = 5
d)
k = 27
35.
Find the volume of the cylinder. Round your answers to the nearest tenth if necessary. 
a)
16.4 cm3
b)
31.7 cm3
c)
31.4 cm3
d)
22.0 cm3
36.
6(-1/4)
a)
-3/2
b)
6/4
c)
1.5
37.

4x+5=21

a)

6

b)

4

c)

3

d)

2

38.

3x-5=7

a)

4

b)

3

c)

6

d)

7

39.
Is √2 Irrational?
a)
Yes
b)
No
40.
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.
41.
Is this graph a function or not a function? 
a)
Function
b)
Not a Function
42.
Find the slope of the line that passes through
(10, 1) and (5, 2)
a)
1/5
b)
-1/5
c)
5
d)
-5
43.
Which statement matches the graph?
a)
Taylor can write 6 words per minute
b)
Taylor can write 25 words per minute
c)
Taylor can write 50 words per minute
d)
Taylor can write 150 words per minute
44.
a)
∠M=47°
b)
∠M=133°
c)
∠M=180°
d)
∠M=33°
45.
Find the measure of the indicated angle. 
a)
145
b)
113
c)
102
d)
78
46.

Solve a3=64

a)

a=8

b)

a=4

c)

a=21

d)

a=32

47.

Solve 0+(-4)+(-7)

a)

-11

b)

-3

c)

11

d)

10

48.
What is the perimeter of the shaded figure?
a)
12
b)
10
c)
16
d)
18
49.
x>3
a)
x is less than 3
b)
x is greater than 3
c)
x is less than or equal to 3
d)
x is greater than or equal to 3
50.

you find volume of a prism using L x W x H, what number would represent the height of the prism?

a)

11cm

b)

6cm

c)

5cm

51.

what is the equation from this model?

a)

3x +1 = x - 2

b)

-3x +1 = x - 2

c)

-3x - 1 = x - 2

d)

-3x - 1 = 2x

52.

WHAT IS THE Y INTERCEPT OF THE LINE?

a)

-2

b)

2

c)

1

d)

-1

53.

POSITIVE OR NEGATIVE SLOPE?

a)

POSITIVE

b)

NEGATIVE

54.

Y= -3x+4, which graph represents this equation

a)
b)
c)
d)
55.

what is the square root of 81

a)

18

b)

9

c)

62

d)

41

56.

find the volume of the cylinder

a)

24

b)

365

c)

1

d)

98

57.
a)

Alternate interior

b)

alternate exterior

c)

corresponding

d)

intersecting lines

58.

2x +3=9

a)

3

b)

9

c)

0

d)

14

59.

If < 1 measures 160 degrees, what is the measure of < 2?

a)

160

b)

180

c)

20

d)

30

60.

Perpendicular lines intersect to form:

a)

parallel lines

b)

transversals

c)

acute angles

d)

right angles

61.

The sum of the measures of the exterior angles of any polygon equals _______.

a)

90 degrees

b)

180 degrees

c)

360 degrees

d)

540 degrees

62.

What is the measure of one interior angle of the regular polygon shown?

a)

90

b)

135

c)

180

d)

1080

63.

The three angles of a triangle measure x, 2x, and 6x. What is the value of x?

a)

9

b)

20

c)

40

d)

90

64.
What is the formula for a cone figure?
a)
V = ⅓π2rh
b)
V = ⅓πr2h
c)
V = l × w × h
65.

Maple Street and Elm Street are parallel to each other and both intersect Arbor Street. Which statement must be true?

a)

measure angle 1 = 80⁰

b)

measure angle 3 = measure angle 7

c)

measure angle 2 = 80⁰

d)

measure angle 7 = measure angle 6

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