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8.1-8.2 review

Total questions: 56

Worksheet time: 2hrs 35mins

Name
Class
Date
1.
Write each product using an exponent. 
4 x 4 x 4 x 4 x 4 
a)
45
b)
54
c)
46
d)
46
2.
Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 
?
a)
75
b)
76
c)
67
d)
77
3.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
4.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
5.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
6.
Find the equivalent expression.

9 x 9 x 9 x 9 x 9
a)
95
b)
915
c)
9 x 5
d)
9 + 9 + 9 + 9+ 9
7.
What is the power to this problem?
6 x 6 x 6 x 6 x 6 x 6 x 6
a)
6 to the 7th power
b)
6 to the 8th power
c)
7 to the 9th power
d)
10 to the 5th power
8.
In 2what is the base?
a)
2
b)
3
c)
23
9.
In 2what is the exponent?
a)
2
b)
3
c)
23
10.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
11.
A scientist reports that a bacteria culture contains 34 bacteria.
How many bacteria is that?
a)
12
b)
81
c)
7
d)
95
12.
Evaluate:
⅔²
a)
4/9
b)
2/6
c)
4/6
d)
4/3
13.
52 , in this example 2 is the _____________
a)
base
b)
exponent
14.
How do you say 4?
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
15.
What special word do you use for the exponent of 2?
a)
squared
b)
cubed
c)
triangled
d)
boxed
16.
Write each product using an exponent. 
7 x 7 x 7 x 7 x 7 x 7 x 7 x 7 
a)
77
b)
78
c)
87
d)
79
17.
Which is equivalent to 4 x 4 x 4 x 4 x 4
a)
46
b)
54
c)
44
d)
45
18.

What is the base in  565^6  ?

a)

6

b)

5

c)

30

d)

0

19.

What is the exponent in  737^3 ?

a)

3

b)

7

c)

21

d)

0

20.

What is another way to say a number is to the 2nd power?

Check all possible answers.

a)

Squared

b)

Cubed

c)

Diced

d)

The power of 2

21.

What is another way to say a number is to the 3rd power?

Check all possible answers.

a)

Squared

b)

Cubed

c)

Triangle

d)

The power of 3

22.

Represent using an exponent.

7 x 7 x 7 x 7 x 7 x 7 x 7 x 7

a)

77

b)

78

c)

87

d)

79

23.

How could 86 be represented?

Check all possible answers.

a)

8 x 6

b)

8 x 8 x 8 x 8 x 8 x 8

c)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

d)

262,144

24.

Represent 54 in standard form.

a)

20

b)

625

c)

265

d)

24

25.

Represent 172 in standard form.

a)

269

b)

279

c)

289

d)

299

26.
What is nine cubed in exponential form?
a)
9 x 9 x 9 
b)
93
c)
92
d)
33
27.

Which is equivalent to 7 x 7 x 7 x 7 x 7 x 7 ?

a)

75

b)

76

c)

67

d)

77

28.

What is 431 x 431 x 431 in exponential form?

a)

34313^{431}

b)

4313431^3

c)

431 x 3

d)

3 x 431

29.

What is 16616^6  in expanded form?

a)

6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6 x 6

b)

16 x 16 x 16 x 16 x 16 x 16 

c)

16 x 6

d)

6 x 16

30.

What is 78578^5  in expanded form?

a)

78 x 78 x 78 x 78 x 78 

b)

78 x 78 x 78 x 78 x 78 x 78

c)

78 x 5

d)

5 x 78

31.

Which is least? 123  or  5612^3\ \ or\ \ 5^6  

a)

12312^3  

b)

565^6  

c)

Neither

32.
Which is GREATER?
27 or 72
a)
27
b)
72
c)
Neither, they are equal
33.

Which represents the exponential form of a number?

a)

13x13x13x13x13

b)

135

c)

371,293

34.

Which represents the expanded form of a number?

a)

13x13x13x13x13

b)

135

c)

371,293

35.

Which represents the standard form of a number?

a)

13x13x13x13x13

b)

135

c)

371,293

36.

152 + 233

a)

79,235,168

b)

12,197

c)

12,392

d)

99

37.

97 - 433

a)

4,703,462

b)

66

c)

543

d)

3,214,467

38.

(5+8) x 2 is an example of

a)

numerical expression

b)

evaluate

c)

algebraic expression

39.

Evaluate (3 + 5) x 4

a)

32

b)

23

c)

12

d)

19

40.

Write a numerical expression for: Tom and his friend went to the movies. They each got a candy for $4 and a drink for $5. Tom paid for all the snacks. How much did Tom pay altogether?

a)

4 + 5

b)

4 + 5 + 2

c)

(4 x 2) + 5

d)

(4 + 5) x 2

41.

12 - (3 x 2) + 4 In this expression, what do you do first?

a)

2 + 4

b)

12 - 3

c)

3 x 2

d)

12 - 4

42.

Which is an example of a numerical expression?

a)

3 - a = 10

b)

2 x (9 + 7)

c)

2a + 9a

43.

Write the product as a power.

3 x 3 x 3 x 3 x 3 x 3

a)

63

b)

36

c)

729

d)

81

44.

Which expression represents the following calculation?
Subtract 32 from the product of 48 and 15.

a)

32 – (48 + 15)

b)

(48 – 15) × 32

c)

(48 × 15) – 32

d)

32 × (48 – 15)

45.

What is the value of the expression [5 × (3 + 6)] – 8?

(a)  

46.

How does the value of Expression A compare to the value of Expression B?

a)

A < B

b)

A > B

c)

A = B

47.

Which numeric expression matches this written expression?
two times the sum of eight and seven

a)

2 x 87

b)

2 + (8 + 7)

c)

2 x 8 + 7

d)

2 x (8 + 7)

48.

Kyle has $4 and Alyssa has $6. Jenny has 3 times as much money as both Kyle and Alyssa combined. Which expression represents this situation?

a)

(3 x 4) + 6

b)

(3 x 4) x 6

c)

3 x (4 + 6)

d)

3 x (4 x 6)

49.

Subtract 9 from 15 and divide by 3. 
Which numerical expression represents this statement?

a)

(15 - 9) ÷ 3

b)

(9 - 15) ÷ 3

c)

3 ÷ (15 - 9)

d)

3 ÷ (9 - 15)

50.

What is the numerical expression of: one half the sum of ten and three

a)

(10 + 3) ÷ 2

b)

(10 - 3) + 2

c)

10 x 3

d)

(10 + 3) x 2

51.

A farmer has 20 bins of apples. Each bin has 25 red apples and 30 green apples. Which of the following expressions can be used to find the total number of apples in all the bins?

a)

20 + (25 x 30)

b)

(20 + 25) x (20 x 30)

c)

(20 x 25) x (20 x 30)

d)

20 x (25 + 30)

52.

Mrs. Dunnahoo asked her math students to write a numerical expression that used 3 different operations and only the numbers 8, 6, 4, and 3.  The answer to the expression had to be equal to the student's age.  If Taylor is 9 years old, which of the following expressions could she write? 

a)

(8+4)÷(6-3)

b)

[(8×6)÷4]-3

c)

[(8×3)÷4]+6

d)

[(4×3)+6]-8

53.

Write the following verbal expression as a numerical expression: three times the sum of eight and nine

a)

3 × 8 - 9

b)

3 × (8 + 9)

54.

Write the following verbal expression as a numerical expression: two times the sum of five and eleven

a)

5 × 2 + 11

b)

2 × (5 + 11)

55.

Write the following verbal expression as a numerical expression: subtract five from from six times a number

a)

5 - 6x

b)

6x - 5

56.

Write the following verbal expression as a numerical expression: nineteen more than the product of three and seven

a)

19 - 3 × 7

b)

3 × 7 + 19