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Worksheets

L.A. Review for Test #1

Total questions: 89

Worksheet time: 4hrs 40mins

Name
Class
Date
1.
Find the prime number.
a)
10
b)
9
c)
7
d)
4
2.
Is 3 a factor of 12?
a)
yes
b)
no
3.
Is 12 prime or composite?
a)
prime
b)
composite
4.
is 5 prime or composite?
a)
prime
b)
composite
5.
What are all prime numbers divisible by?
a)
1, 2, and itself
b)
1 and itself
c)
Every number from 1-10
d)
They aren't divisable at all
6.
Is 33 a prime or composite number?
a)
Prime
b)
Composite
7.
Which of the following numbers is COMPOSITE?
a)
2
b)
37
c)
41
d)
4
8.
Is 100 a prime or composite number?
a)
Prime
b)
Composite
9.
Which is a factor of 12?
a)
24
b)
5
c)
3
d)
0.3
10.
Which is a factor of 15?
a)
2
b)
3
c)
4
d)
6
11.
Which is a NOT a factor of 12?
a)
1
b)
3
c)
5
d)
12
12.
Which number is a factor of 18
a)
4
b)
7
c)
6
d)
12
13.

Find the Greatest Common Factor (GCF) of 36 & 54.

a)

108

b)

18

c)

3

d)

9

14.
Find the Greatest Common Factor (GCF) OF 12,  18 & 30
a)
1
b)
3
c)
6
d)
12
15.

Find the prime factorization of 140

a)

2 x 2 x 2 x 2 X 5 X 7

b)

2 x 2 x 5 x 7

c)

14 x 10

d)

2 x 2 x 2 x 5 x 7

16.
Prime numbers have _____ factors.
a)
no
b)
3
c)
1
d)
2
17.

One is...

a)

prime

b)

composite

c)

not prime or composite

d)

the loneliest number

18.
What is the prime factorization of 16 
a)
1 x 16
b)
22x 4
c)
24
d)
22 + 22
19.

Find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

20.

Find the prime factorization of 111

a)

333

b)

32 x 11

c)

3 x 37

d)

22 x 3 x 11

21.

Find the prime factorization for 80

a)

42 ⋅ 5

b)

24 ⋅ 5

c)

2 ⋅ 2 ⋅ 2

d)

8 ⋅ 5 ⋅ 2

22.

Find the Least Common Multiple (LCM) of 42 & 8.

a)

336

b)

84

c)

168

d)

2

23.
Find the Least Common Multiple of 9 and 6
a)
18
b)
36
c)
38
d)
72
24.
What is the least common multiple (LCM) of 3 and 20?
a)
60
b)
40
c)
20
d)
3
25.
15y2 . (2y)3
a)
120y5
b)
120y6
c)
30y5
d)
30y6
26.
-3xy3 . (4xy)2
a)
-12x3y5
b)
-48x2y4
c)
-48x3y5
d)
-12x2y6
27.
a)
a7
b)
a10
c)
a3
d)
a-3
28.

Which expression is equivalent to the given?

a)
b)
c)
d)
29.
(53x2y4)0
a)
5xy
b)
1
c)
0
d)
5
30.
Evaluate using the quotient rule: 
a)
a8b13
b)
a2b7
c)
a15b30
31.

Simplify: 62-6^{-2} 

a)

12

b)

 112\frac{1}{12}  

c)

-36

d)

 136-\frac{1}{36}  

32.

Simplify the expression so that it contains only positive exponents.

a)
b)
c)
d)
33.

Simplify each expression so that it contains only positive exponents.

a)
b)
c)
d)
34.

Simplify the expression so that it contains only positive exponents.

a)
b)
c)
d)
35.

Simplify each expression so that it contains only positive exponents.

a)
b)
c)
d)
36.
a)

A

b)

B

c)

C

d)

D

37.
a)

A

b)

B

c)

C

d)

D

38.
What is set of numbers that includes all positive and negative whole numbers?
a)
Whole Numbers
b)
Integers
c)
Rational Numbers
d)
Natural Numbers
39.
What is the set of numbers that includes fractions?
a)
Whole numbers
b)
Integers
c)
Rational Numbers
d)
Natural Numbers
40.
What is the set of numbers that doesn't include 0?
a)
Whole Numbers
b)
Real Numbers
c)
Irrational Numbers
d)
Natural Numbers
41.
Which name does not apply to this number?
√ 24
a)
real number
b)
irrational number
c)
rational number
42.
Which name does not apply to this number?
7/8
a)
rational number
b)
real number
c)
whole number
43.
Which name does not apply to this number?
-17.84
a)
rational number
b)
real number
c)
irrational number
44.
Choose the number that applies to these sets: Real, Rational, Integer, Whole
a)
√36
b)
√5
c)
-7
d)
-1
45.
True or False: All whole numbers are rational
a)
True
b)
False
46.
 Simplify:   2√40 - 3√10 
a)
5√10
b)
√10
c)
-√30
47.
√ 1
a)
1
b)
100
c)
10
d)
0
48.
500
a)
Is a perfect square.
b)
Is not a perfect square.
49.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
50.
Simplify
a)
A
b)
B
c)
C
d)
D
51.
a)
-5√1
b)
8√2 + 13√3
c)
21√5
d)
20√5
52.
a)
17√2
b)
9√1
c)
9
d)
9√2
53.

Simplify:

a)

1/5

b)

20/100

c)

2/10

d)

1/√25

54.
Is the number rational or irrational?
a)
Rational
b)
Irrational
55.
Convert 0.444... to a fraction.
a)
4/10
b)
4.4/99
c)
4/9
d)
2/5
56.

Evaluate (-2)3

a)

-8

b)

8

c)

-6

d)

6

57.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
58.
Evaluate the expression using the quotient rule.
a)
x13
b)
x5
c)
x36
d)
x-5
59.
Evaluate the expression using the quotient rule.
a)
34
b)
1/34
c)
3-12
d)
332
60.
a)
a8b13
b)
a2b7
c)
a15b30
61.

Which expression is equivalent to the given?

a)
b)
c)
d)
62.
Simplify the following:
(x2y)5
a)
x7y5
b)
x2y5
c)
x10y5
d)
x5y5
63.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
64.

Which expression is equivalent to the given?

a)
b)
c)
d)
65.

What is the value of "r"


(12r)5 = 1220

a)

r = 15

b)

r = 4

c)

r = 10

d)

r = -15

66.

What is the value of "m"


43 * 4m = 418

a)

m = 6

b)

m = 15

c)

m = 3

d)

m = 9

67.
a)

A

b)

B

c)

C

d)

D

68.
a)

A

b)

B

c)

C

d)

D

69.
a)

A

b)

B

c)

C

d)

D

70.
a)
A
b)
B
c)
C
d)
D
71.
a)
A
b)
B
c)
C
d)
D
72.
a)

A

b)

B

c)

C

d)

D

73.
a)

A

b)

B

c)

C

d)

D

74.
a)

A

b)

B

c)

C

d)

D

75.
a)

A

b)

B

c)

C

d)

D

76.
a)

A

b)

B

c)

C

d)

D

77.
a)

A

b)

B

c)

C

d)

D

78.
a)

A

b)

B

c)

C

d)

D

79.
a)

A

b)

B

c)

C

d)

D

80.
a)

A

b)

B

c)

C

d)

D

81.
a)

A

b)

B

c)

C

d)

D

82.
a)

A

b)

B

c)

C

d)

D

83.
a)
y2z10√xy
b)
20yz√xy
c)
xy2z10√y
d)
yz6√xy2z2
84.
a)

A

b)

B

c)

C

d)

D

85.
a)
x3√x
b)
7x√x2
c)
x6√x
d)
√x
86.
Simplify

√45n3
a)
3n√5n
b)
4n√8
c)
4n√-8
d)
10√n
87.

Simplify the radical...

√20a²b⁴

a)

2ab²√5

b)

4ab²√5

c)

5ab²√2

d)

2a²b²√5

88.
√36n4
a)
6n
b)
6n⁴
c)
6n²√2
d)
6n²
89.
√75x²
a)
5x²√3
b)
5x
c)
5x√3x
d)
5x√3