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MS. PUGH IS ABSENT 10/31/23

Total questions: 68

Worksheet time: 3hrs 16mins

Name
Class
Date
1.

A perfect square is​ the​ (a)   of an integer and itself.

Choose from the below words
product
sum
difference
quotient
2.

Match the following numbers to their square roots.

a)

49

1.

7

b)

64

2.

8

c)

81

3.

9

d)

36

4.

6

e)

25

5.

5

3.

Which of the following is not a perfect square?

a)

49

b)

81

c)

111

d)

144

4.
What do we call √ ?
a)
radicand
b)
radical symbol
c)
cube root
d)
index
5.
Which would be the next number in the pattern? 
36, 49, 64, 81 __
a)
82
b)
18
c)
64
d)
100
6.

Find 49\sqrt[]{49}  

a)

1

b)

7

c)

5

d)

9

7.

Find 22.

a)

2

b)

4

c)

6

d)

8

8.

You want to build a square garden. The dimension on one side is 5 yards, how many square yards would the garden be?

(a)  

9.

100=?\sqrt[]{100}=?  

a)

12

b)

10

c)

11

10.

A square rug has an area of 64. What are the dimensions?

a)

6 X 6

b)

7 X 7

c)

8 X 8

d)

9 X 9

11.

1- Which number is a perfect square?

a)

a) 32

b)

b) 25

c)

c) 22

d)

D) 24

12.

3- Which number is perfect square?

a)

a) 36

b)

b) 39

c)

c) 89

d)

d) 11

13.

6-Which number is perfect square?

a)

a) 1

b)

b) 2

c)

c) 5

d)

d) 8

14.

5- Which number is perfect square?

a)

a) 124

b)

b) 144

c)

c) 158

d)

d) 164

15.

7- Which number is perfect square?

a)

a) 3

b)

b) 16

c)

c) 33

d)

d) 13

16.
162
a)
256
b)
289
c)
396
d)
324
17.
52
a)
16
b)
25
c)
20
d)
10
18.
12
a)
1
b)
2
c)
0
d)
-1
19.
42
a)
8
b)
15
c)
18
d)
16
20.
22
a)
2
b)
4
c)
5
d)
6
21.
62
a)
36
b)
12
c)
25
d)
42
22.
32
a)
6
b)
12
c)
9
d)
10
23.
142
a)
169
b)
196
c)
28
d)
144
24.
82
a)
68
b)
64
c)
16
d)
56
25.
132
a)
26
b)
196
c)
144
d)
169
26.
92
a)
18
b)
81
c)
90
d)
64
27.
112
a)
132
b)
144
c)
121
d)
22
28.

Which shows 74 in expanded form?

a)

7 • 7 • 7 • 7

b)

4 • 4 • 4 • 4 • 4 • 4 • 4

c)

2401

d)

16,384

29.

Which name describes the 5 in 54?

a)

base

b)

exponent

c)

power

d)

root

30.

Choose ALL of the correct ways to say 62.

a)

six to the second power

b)

six cubed

c)

six squared

d)

six to the power of two

e)

two to the power of six

31.

Write 5 • 5 • 5 in exponential form.

a)

35

b)

53

c)

what is exponential form?

d)

5 • 3

32.

Which perfect square is being shown?

a)

6

b)

7

c)

36

d)

49

33.
Which statement below is a true statement?
a)
In 75, the exponent is 7
b)
70= 1
c)
In 75, the base number is 5
d)
75 = 7x5
34.
What expression does not equal 36?
a)
6 x 6
b)
62
c)
182
d)
361
35.
A pattern of increasing perfect squares is below.  
4, 9, 16, _____, 36
What number do you need to square to find the missing term?
a)
5
b)
4
c)
3
d)
6
36.

62

(a)  

37.

52

(a)  

38.

72

(a)  

39.

82

(a)  

40.

92

(a)  

41.

102

(a)  

42.

112

(a)  

43.

122

(a)  

44.

132

(a)  

45.

142

(a)  

46.

152

(a)  

47.

162

(a)  

48.

192

(a)  

49.

172

(a)  

50.

202

(a)  

51.

What is a perfect square?

a)

A perfect square is a number that can be expressed as the product of an integer multiplied by itself.

b)

A perfect square is a number that can be expressed as the quotient of an integer divided by itself.

c)

A perfect square is a number that can be expressed as the product of two different integers.

d)

A perfect square is a number that can be expressed as the sum of two integers.

52.

Label the diagram. (10 points)

53.

1010\sqrt[]{10}\cdot\sqrt[]{10}  

a)

10

b)

4304\sqrt[]{30}  

c)

100

d)

252\sqrt[]{5}  

54.

4x2\sqrt{4x^2}  

Simplify the Expression:  

a)

4x4x  

b)

2x2x  

c)

2x22x^2  

d)

2x2\sqrt{x}  

55.

144k2\sqrt{\frac{144}{k^2}}  Simplify the Expression


a)

72k\frac{72}{k}  

b)

12k2\frac{12}{k^2}  

c)

144k\frac{\sqrt{144}}{k}  

d)

12k\frac{12}{k}  

56.

Examine the radical expression. What is the index?

a)

5

b)

108

c)

36

57.

Examine the radical expression. What is the radicand?

a)

3

b)

108

c)

36

58.

Examine the radical expression. Which question best represents this expression?

a)

What value can be multiplied by itself 108 times to obtain 5?

b)

What value can be multiplied by itself 5 times to obtain 108?

c)

What is the value of 108 divided by 5?

d)

What is the value of 5 divided by 108?

59.

Simplify the radical expression.

a)

1818

b)

18518^5

c)

18\sqrt{18}

d)

33

60.
What is a square root
a)
A number to the second power
b)
A square that has roots on it
c)
Square roots are numbers that produce a specified quantity when multiplied by itself
61.

(20 Points)

Order the numbers from least to greatest.

a)

50\sqrt[]{50}

b)

7

c)

35\sqrt[]{35}

d)

98\sqrt[]{98}

e)

10

1)
2)
3)
4)
5)
62.

What kind of terms can be added or subtracted? (Check all that apply)

a)

Like terms

b)

Common terms

c)

Terms with the same radicand

63.

What is 90?

a)

9

b)

0

c)

1

d)

9-9

64.

Which of the following is equivalent to 34?

a)

3x4

b)

3x3

c)

4x4x4

d)

3x3x3x3

65.

Based on the pattern, what is 1,000,000?

a)

10x6

b)

10610^6

c)

10710^7

d)

10810^8

66.
√ 36
a)
4
b)
6
c)
12
67.
√ 81
a)
8
b)
7
c)
10
d)
9
68.
√ 64
a)
4
b)
6
c)
9
d)
8