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8th Grade Math Mid-1st Six wks

Total questions: 64

Worksheet time: 4hrs 18mins

Name
Class
Date
1.
9+2a=-3-4a
a)
a = -2
b)
a = 2
c)
a = 5
d)
a = -1
2.
2a+4=7+a
a)
a = 1
b)
a = -3
c)
a = -1
d)
a = 3
3.
2+14a=-8+9a
a)
a = 2
b)
a = -2
c)
a = 6⁄5
d)
a = 1
4.
(2⁄3)a+1=16-a
a)
a = 0
b)
a = 9
c)
a = 22.5
d)
a = -3
5.
6a+3-4a=9
a)
a = 3
b)
a = 6
c)
a = 9
d)
a = -3
6.
10x + 9 = 4x - 9
a)
0
b)
3
c)
-3
d)
-18
7.
7w + 5 = 3w - 15
a)
5
b)
-2
c)
2
d)
-5
8.
2c - 12 = 9c + 2
a)
14
b)
2
c)
-2
9.
Which number is an irrational number?
a)
√9
b)
√49
c)
√100
d)
√120
10.
Which represents a rational number?
a)
√110
b)
√324
c)
√65
d)
√80
11.
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.
12.
Which of the following represents a set of irrational numbers?
a)
〈√3, √4, √6, √5〉
b)
〈1.1, 1.234..., √35, π〉
c)
〈11π⁄4, √2⁄4, 1.121314..., √3〉
d)
Not here
13.
Which of the following sets contain only numbers that are NOT integers?
a)
〈6, -5, 1.25〉
b)
〈3⁄5, 4.5, 0.̅3〉
c)
〈-8, 4, √13, 25〉
d)
〈16⁄4, 8, 7, √9〉
14.
Which statement is not true?
a)
0.121212...is a rational number.  
b)
0.34353637 is an irrational number
c)
8.14 is a rational number
d)
5.12345.... is an irrational number
15.
Classify this number:  6.7
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
16.
Classify this number:  2
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
17.
Classify this number:  ⅚
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
18.
Classify this number: √25
a)
real
b)
real      rational
c)
real      rational        integer
d)
real   rational   integer   whole
19.
-4 is not a whole number because:
a)
It's negative and whole numbers are positive.
b)
it's irrational.
c)
it cannot be turned into a fraction.
d)
it is even.
20.
A rational number:
a)
can be turned into a fraction.
b)
is only positive.
c)
can't have a decimal.
d)
is not a real number.
21.
8 is a part of the following sets: 
a)
Whole Number
b)
Integer
c)
Rational
d)
All of the above
22.
An example of a whole number is:
a)
4/9
b)
-9
c)
5.2
d)
17
23.
2.389746....
a)
Rational
b)
Irrational
24.
An integer is also...
a)
Whole
b)
Rational
c)
Irrational
d)
Not real
25.
Which list of numbers is in order from least to greatest?
a)
A √23, 5, 6, 43%
b)
B 5, √23, 6, 43%
c)
C 43%, 5, √23, 6
d)
D 43%, √23, 5, 6
26.
The √40 is between which two integers?
a)
7 & 8
b)
6 & 7
c)
5 & 6
d)
4 & 5
27.
Order from least to greatest:
[-8, 7, -6, 5, -4, 3, -2]
a)
-2, 3, -4, 5, -6, 7, -8
b)
-2, -4, -6, -8, 3, 5, 7
c)
-6, -8, -4, -2, 7, 5, 3
d)
-8, -6, -4, -2, 3, 5, 7
28.
Which set is in descending order?
a)
15%  .45  9/10
b)
.45  15%  9/10
c)
9/10  15%  .45
d)
9/10  .45  15%
29.
Three boys shared a whole pizza.  Andrew ate 25% of the pizza.  Alonso ate 5/8 of the pizza.  Tyler ate .125 of the pizza.  Who ate the most?
a)
Andrew
b)
Alonso
c)
Tyler
d)
They all ate the same amount
30.
Order 3π, √ 10 , and 3.25 from least to greatest.
a)
√ 10, 3π, 3.25
b)
√ 10, 3.25, 3π
c)
3π, 3.25, √ 10
d)
 3.25, √ 10, 3π
31.
The √20 is between which two integers?
a)
2 & 3
b)
3 & 4
c)
4 & 5
d)
5 & 6
32.

Order the following numbers from least to greatest.

a)

-.8, -.63, -.6, -.72

b)

-.6, -.63, -.72, -.8

c)

-.8, -.72, -.63, -.6

33.

Order the following numbers from greatest to least.

a)

-1.25, -.8, -.4, .15

b)

.15, -.4, -.8, -1.25

c)

.15, -.8, -.4, -1.25

34.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
35.

How would you write 0.0005 in scientific notation?

a)

50 x 105

b)

5 x 10-4

c)

5 x 10-3

d)

.5 x 103

36.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
37.
Which one of these is in scientific notation?
a)
8.987000
b)
8.98 x 106
c)
80.987 x 10
d)
8.986
38.
A non-ending, non-repeating decimal is which type of number?
a)
Rational 
b)
Irrational
39.

Express the following in standard notation:

8.025 x 10-8

a)

.00000008025

b)

.000000008025

c)

802,500,000,000

d)

80,250,000,000

40.
How would 0.333333 be classified?
a)
rational and real 
b)
real and whole
c)
only integer 
d)
only irrational
41.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
42.
Which number is correctly written in scientific notation?
a)
8.2 x 102
b)
82 x 107
c)
3.45 x 94
43.
Which number is correctly written in scientific notation?
a)
3.2867 x 10-7
b)
21.8689 x 10-4
c)
0.1537 x 105
44.
Which number is correctly written in scientific notation?
a)
10.4 x 103
b)
9.99 x 106
c)
143.002 x 10-4
45.
Write in standard form: 
8 x 104
a)
8,000
b)
80,000
c)
.00008
46.

Write in scientific notation:

241 million

a)

2.41 x 108

b)

2.41 x 107

c)

2.41 x 10-8

d)

2.41 x 10-7

47.

Write in scientific notation:

0.0000378

a)

3.78 x 10-5

b)

3.78 x 106

c)

3.78 x 10-6

d)

3.78 x 105

48.

Write in scientific notation:

540,020,000

a)

5.4002 x 108

b)

5.4002 x 10-8

c)

5.4002 x 104

d)

5.4002 x 10-4

49.
Write in scientific notation: 
0.0079245
a)
7.9245 x 10-3
b)
7.9245 x 10-2
c)
7.9245 x 103
50.

Order the following numbers from least to greatest.

a)

.2, .3, .6, .8

b)

.8, .6, .3, .2

c)

.2, .3, .8, .6

51.

Line l and line m are parallel lines. What is the measure of <J?

a)

∠J=105°

b)

∠J=75°

c)

∠J=15°

d)

∠J=90°

52.

What is the measure of <L?

a)

∠L=51°

b)

∠L=129°

c)

∠L=180°

d)

∠L=39°

53.

What is the measure of <M?

a)

∠M=47°

b)

∠M=133°

c)

∠M=180°

d)

∠M=33°

54.

Find the measure of <C.

a)

∠C=116°

b)

∠C=64°

c)

∠C=180°

d)

∠C=26°

55.
Find L
a)
∠L=51°
b)
∠L=129°
c)
∠L=180°
d)
∠L=39°
56.
Find the measure of the indicated angle. 
a)
145
b)
113
c)
102
d)
78
57.
Solve for the missing angle with the question mark. 
a)
A
b)
B
c)
C
d)
D
58.
A rental car agency charges $30.00 per day plus per mile $0.15. Another rental car agency charges $36.00 per day plus $0.10 per mile. Which equation could be used to determine how many miles would have to be driven in one day for both rental agencies to cost the same amount to rent? 
a)
30 + 0.15x = 36 + 0.10x
b)
30 - 0.15x = 36 - 0.10x
c)
30 + 36 = 0.10x + 0.36x
d)
36 - 30 = 0.36x + 0.10x
59.
I can join video club A for $25.00 and rent videos for $1.00 each. Or, I can join video club B for $15.00 and rent videos for $2.00 each. Write an equation that could be used to determine how many rentals would be needed for the price to be equal.
a)
25 - x = 15 - 2x
b)
25 + 15 = x + 2x
c)
25x + 1 = 15x + 2
d)
25 + x = 15 + 2x
60.
Taxi company A charges $8.00 to get into the cab and $0.75 per mile. Taxi company B charges $6.00 to get into a cab and $1.25 per mile. How many miles would the cost be the same for both companies? 
a)
2 miles 
b)
4 miles
c)
.50 mile
d)
-4 miles 
61.
The Frederick County Fair costs $15.00 to get in and $2.50 per ride, while the Montgomery County Fair costs $10.00 to get in and $3.00 per ride. Which equations could be used to determine how many rides you would need to go on for both fairs to be of equal value? 
a)
15x + 2.5 = 10x + 3
b)
15 - 2.5x = 10 - 3x
c)
15 + 2.5x = 10 + 3x
d)
15 - 10 = 2.5x + 3x
62.
At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 
a)
150x + 24 = 180 + 20x
b)
150 + 24x = 180 + 20x
c)
180 - 150 = 24 x + 20x
d)
150 - 24x = 180 - 20x
63.
Mary has been offered two jobs. Job A has a starting salary of $36,000 and a raise of $1500 every year. Job B has a starting salary of $29,000 and a raise of $2500 every year. Write an equation to determine how many years would Mary's salary be the same at both companies. 
a)
36,000x + 1,500 = 29,000x + 2,500
b)
36,000 - 29,000 = 1,500x + 2,500x
c)
36,000 - 1,500x = 29,000 - 2,500x
d)
36,000 + 1,500x = 29,000 + 2,500x
64.
Carol wants to join a dance studio. Studio A charges $100.00 for the entry fee and $45.00 per class, while Studio B charges $125.00 for the entry fee and $30.00 per class.  Write an equation to determine how many classes would need to be taken for the price to be equal? 
a)
125 - 100 = 45x + 35x
b)
100x + 45 = 125x + 35
c)
100 + 45x = 125 + 35x
d)
100 - 45x = 125 - 35x