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Review of Ch. 3

Total questions: 93

Worksheet time: 3hrs 17mins

Name
Class
Date
1.
GCF of 4 and 6
a)
2
b)
3
c)
4
d)
6
2.
GCF of 10 and 12
a)
5
b)
2
c)
3
d)
6
3.
GCF of 12 and 18
a)
3
b)
4
c)
6
d)
2
4.
GCF 24 and 36
a)
8
b)
6
c)
12
d)
4
5.
GCF of 32 and 40
a)
2
b)
4
c)
6
d)
8
6.
GCF of 16 and 18
a)
4
b)
2
c)
6
d)
8
7.
GCF of 24 and 48
a)
3
b)
6
c)
12
d)
24
8.
GCF of 50 and 100
a)
10
b)
25
c)
50
d)
5
9.
GCF of 18 and 24
a)
2
b)
3
c)
4
d)
6
10.
GCF of 14 and 28
a)
2
b)
7
c)
14
d)
8
11.
What is the GCF of 20, 44, and 88?
a)
4
b)
2
c)
22
d)
1
12.
What is the GCF of 72, 96, and 84?
a)
2
b)
7
c)
12
d)
4
13.
What is the LCM of 3 and 6? 
a)
3
b)
6
c)
12
d)
15
14.
What is the LCM of 4 and 12? 
a)
4
b)
8
c)
12
d)
16
15.
What is the LCM of 6 and 24? 
a)
3
b)
6
c)
12
d)
24
16.
What is the LCM of 7 and 8? 
a)
7
b)
8
c)
42
d)
56
17.
Ap- What is the LCM of 2, 4, 6?
a)
6
b)
12
c)
4
d)
2
18.
What is the LCM?
a)
The LCM is the least common factor that both numbers share the least. 
b)
The LCM is a multiple that both numbers share the most.  
c)
The LCM is a multiple that both numbers share the least. 
d)
The LCM is a factor that both numbers share the least. 
19.
What is the LCM of 3,6,9
a)
12
b)
9
c)
36
d)
18
20.
What is the LCM of 12 and 18?
a)
18
b)
36
c)
24
d)
54
21.
What is the LCM of 9 and 15?
a)
27
b)
35
c)
40
d)
45
22.
What is the LCM of 4, 8 and 10?
a)
20
b)
80
c)
40
d)
120
23.
Which is the prime factorization of 12? 
a)
2 x 6
b)
2 + 2 + 2 + 2 + 2 + 2 
c)
2 x 2 x 3
d)
1 x 2 x 2 x 3
24.
Use a number tree to find the prime factorization of 72
a)
2x2x2x3x3
b)
4x3x3x2
c)
4x2x2x2x2
25.
Use a number tree to find the prime factorization of 105
a)
7x5x3
b)
11x5x3
c)
7x5x2x1
d)
7x5x3x2
26.
Is 64 divisible by 2?
a)
Yes
b)
No
27.
70 can be evenly divided by which number?
a)
5
b)
10
c)
2
d)
All of the above
28.
What is the divisibility rule for 3?
a)
Add up the digits. The sum must be even and divisible by 3.
b)
The digits must add up to 9.
c)
The last digit must be a 3.
d)
Add up the digits. The sum must be divisible by 3.
29.

252 is divisible by 9 because:

a)

The digits add up to 18.

b)

The sum of the digits is divisible by 9.

c)

It's even and the sum of the digits is divisible by 3.

d)

The sum of the digits is even.

30.
Is 95 divisible by 5?
a)
Yes
b)
No
31.
Is 81 divisible by 3?
a)
Yes
b)
No
32.
Which of these is divisible by 6?
a)
515
b)
59
c)
2086
d)
6312
33.
Which of these is divisible by 9?
a)
9629
b)
9199
c)
9963
d)
4919
34.
Which of these is divisible by 3?
a)
3131
b)
71
c)
6043
d)
804
35.
Which of these is divisible by 10?
a)
8105
b)
375
c)
460
d)
52
36.
Which of these is divisible by 6?
a)
318
b)
215
c)
7000
d)
4765
37.
Which of these id divisible by 9?
a)
1308
b)
495
c)
361
d)
842
38.
Which of these is divisible by 3?
a)
$4500
b)
$3700
c)
$5200
d)
$1000
39.
Which of these is divisible by 2?
a)
243
b)
89
c)
50808
d)
5439
40.
The number 70,110 is divisible by...
a)
2, 3, 4, 5, 6, 9, 10
b)
2, 3, 4, 5, 6, 8, 9, 10
c)
2, 3, 5, 6, 9, 10
d)
2, 3, 5, 9, 10
41.
What is the divisibility rule for 5?
a)
The digits must add up to 10.
b)
The last digit needs to be a 5 or 0.
c)
The last digit can only be a 5.
d)
The sum of the digits need to be divisible by 5.
42.

What is the divisibility rule for 4?

a)

The sum of the digits must be a multiple of 4

b)

The last two digits must form a number that is a multiple of 4

c)

The number must be divisible by 2 and 3.

d)

The number must end in 0, 2, or 4

43.

What is the divisibility rule for 10?

a)

It is divisible by 2 and 3

b)

The last digit is a five

c)

The last digit is five or zero

d)

The last digit is zero

44.

What is the divisibility rule for 6?

a)

It is divisible by 2 and 3

b)

It is divisible by 3 and 4

c)

It is divisible by 2 and 4

d)

The last digit is zero

45.

What is the divisibility rule of 2?

a)

The sum of the digits equals a number divisible by 2

b)

The last digit is 0

c)

The last two digits form a number that is divisible by 2

d)

The last digit is even

46.

Which number is the BASE?

23 = 8

a)

2

b)

3

c)

8

d)

I don't know, request me for Tiger Time for help please!

47.
In the expression 25, what is the BASE?
a)
2
b)
5
48.
In the expression 25, what is the EXPONENT?
a)
5
b)
2
49.

Write in exponential form: 3 x 3 x 3 x 3

a)

3 x 4

b)

34

c)

81

d)

32

50.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
51.

181 =

a)

18

b)

0

c)

324

d)

1

52.

What is equivalent to 64?

a)

6×6×6

b)

4×6

c)

6×6×6×6

d)

46

53.
Write the product as a power:                9 x 9 x 9
a)
729
b)
27
c)
93
d)
39
54.

Evaluate 12 to the second power

a)

12

b)

24

c)

144

d)

122

55.

Select ALL of the following that are equivalent to 5×5×5

a)

five cubed

b)

five squared

c)

53

d)

35

e)

125

56.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
57.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
58.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
59.

In the exponent 34, the three represents____________ ?

a)

power

b)

base

c)

exponent

d)

integers

60.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
61.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
62.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
63.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
64.
What is 5^3?
a)
50
b)
75
c)
25
d)
125
65.
What is 93 in standard form?
a)
840
b)
81
c)
9 x 9 
d)
729
66.
Evaluate.
25
a)
10
b)
25
c)
32
d)
Answer Not Given
67.
Evaluate.
82
a)
16
b)
64
c)
-64
d)
Answer Not Given
68.

Find the prime factorization of 72

a)

23 x 32

b)

2 x 32 x 4

c)

24 x 33

d)

22 x 62

69.

Find the prime factorization for 80

a)

42 ⋅ 5

b)

24 ⋅ 5

c)

2 ⋅ 2 ⋅ 2

d)

8 ⋅ 5 ⋅ 2

70.
What is the prime factorization of 192 
a)
3 ⋅ 62
b)
2⋅ 3
c)
2⋅ 3
d)
 3 ⋅ 8
71.
Using a Factor Tree, find the prime factorization of 54.
a)
32 x 6
b)
3x 2
c)
23 x 3
d)
9 x 6
72.

Using a Factor Tree, find the prime factorization of 24.

a)

23 x 3

b)

22 x 3 x 4

c)

22 x 3

d)

3 x 8

73.

Use a number tree to find the prime factorization of 105

a)

3 x 5 x 7

b)

3 x 5 x 11

c)

1 x 2 x 5 x 7

d)

2 x 3 x 5 x 7

74.

Using a Factor Tree, find the prime factorization of 75.

a)

3 x 52

b)

3 x 5 x 5

c)

32 x 5

d)

5 x 15

75.

Using a Factor Tree, find the prime factorization of 150.

a)

23 x 3 x 5

b)

2 x 52

c)

2 x 3 x 52

d)

52 x 6

76.

Use a number tree to find the prime factorization of 111

a)

3 x 33

b)

3 x 3 x 11

c)

3 x 37

d)

1 x 3 x 4 x 9

77.
A prime number
a)
has one factor
b)
has more than 2 factors
c)
has 100 factors
d)
has exactly 2 factors: 1 and the number
78.
Prime numbers have:
a)
Exactly 2 factors
b)
2 pairs of factors
c)
More than 2 factors
d)
1 factor
79.
Composite numbers:
a)
Are always bigger than prime numbers
b)
Have more than 2 factors
c)
Have 2 pairs of factors
d)
Don't have factors
80.
Which of the following is equivalent to 5(2x + 3)?
a)
52x + 53
b)
7x + 10
c)
10x + 15
d)
10x + 3
81.
Which is equivalent to 5(a + 6)?
a)
5a + 6
b)
a + 30
c)
5a + 30
d)
5a - 30
82.
Distribute: 2(c - 8)
a)
2c - 16
b)
2c + 16
c)
2c - 8
d)
c - 16
83.
Distribute: 3(2c - 5)
a)
6c - 15
b)
6c + 15
c)
6c + 15
d)
-6c - 15
84.
Which of the following is equivalent to
9(5c + 4)?
a)
45c + 36
b)
81c
c)
45c + 4
d)
49c
85.
Simplify:
7(y - 3)
a)
7y - 21
b)
7y - 3
c)
7y + 3
d)
7y + 21
86.
Which of the following is equivalent to 4x + 28
a)
4(x + 7)
b)
4(x + 28)
c)
4x + 7
d)
4(x + 24)
87.
Which of the following expressions is equivalent to 10x - 8?
a)
2(5x - 8)
b)
10(x - 8)
c)
8(2x - 1)
d)
2(5x - 4)
88.
Fill in the blank:
2(x + 7) = 2x + __
a)
7
b)
14
c)
7x
d)
14x
89.
Fill in the blank:
4(3x + __) = 12x + 16
a)
4
b)
16
c)
4x
d)
12
90.
Fill in the blanks:
__(5x + 1) = 10x + 2
a)
2
b)
5
c)
10
d)
x
91.
Distribute the following:
10(z - 6)
a)
10z - 60
b)
10z + 60
c)
-10z - 60
d)
-10z + 60
92.
6(x + 3y) is equivalent to:
a)
6 + 18y
b)
6x + 18
c)
24xy
d)
6x + 18y
93.
e(f + g) is equivalent to:
a)
ef + g
b)
f + g
c)
f + eg
d)
ef + eg