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Math 8 3rd Quarter Extra Credit

Total questions: 69

Worksheet time: 4hrs 5mins

Name
Class
Date
1.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

2.

6⋅6⁷

a)

6⁸

b)

6⁶

c)

6⁷

d)

6

3.

(2⁸)²

a)

2¹⁶

b)

2¹⁰

c)

2⁶

d)

2⁴

4.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
5.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
6.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
7.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
8.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
9.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
10.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
11.
7⁰
a)
1
b)
7
c)
0
d)
-7
12.

(34x5y6z-7)0

a)

34x5y6 / z7

b)

34x5y6 / x-7

c)

0

d)

1

13.

(3y⁴)²

a)

9y⁸

b)

9y⁶

c)

6y⁸

d)

6y⁶

14.

3x⁻³

a)

1⁄3x³

b)

3⁄x³

c)

3x³

d)

-3x³

15.

Fill in the blank with the correct exponent to make the statement true.

316 = (38)(3_)

a)

2

b)

8

c)

4

d)

1

16.
a)

a

b)

b

17.
a)

a

b)

b

18.
Can you leave a negative exponent in your answer?
a)
YES
b)
NO
19.

In 23 what is the base?

a)

2

b)

3

c)

23

20.

In 23 what is the exponent?

a)

2

b)

3

c)

23

21.

Which is equivalent to 5 x 5 x 5 x 5

a)

53

b)

54

c)

45

d)

55

22.

Which is equivalent to 34

a)

27

b)

9

c)

81

d)

12

23.

What is equivalent to 5 squared?

a)

25

b)

10

c)

55

d)

30

24.
a)

a

b)

b

25.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
26.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
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.
Which is equivalent to 24?
a)
8
b)
20
c)
16
d)
12
29.

Which is GREATER?

27 or 72

a)

27

b)

72

c)

Neither, they are equal

30.

A scientist reports that a bacteria culture contains 34 bacteria.

How many bacteria is that?

a)

12

b)

81

c)

7

d)

95

31.

54=

a)

20

b)

625

c)

1024

32.

25 is the same as 2 x 5.

a)

True

b)

False

33.

(34)(37)

a)

328

b)

33

c)

3-3

d)

311

34.

(x8)(x-5)

a)

x-40

b)

x-13

c)

x13

d)

x3

35.

(t-6)-5

a)

t-11

b)

t-30

c)

t30

d)

t11

36.

(2x3y)6

a)

2x18y6

b)

64x18y6

c)

64x3y6

d)

2x3y6

37.

Simplify the following expression:

xy-7

a)

xy7

b)

x/y7

c)

x7/y

d)

x7y

38.
  Simplify
 (2a2b4z)(6a3b2z5)
a)
8a5b6z6
b)
12a6b8z5
c)
12a5b6z6
d)
8a6b8z5
39.
 Simplify
(3x3y5)4
a)
3x12y20
b)
81x12y20
c)
12x12y20
d)
81x7y9
40.

How would you write 4.3756 x 104 in standard form?

a)

437,560,000

b)

0.00043756

c)

43,756

d)

4,3756

41.

How would you write 0.0005 in scientific notation?

a)

50 x 105

b)

5 x 104

c)

5 x 103

d)

.5 x 103

42.

How would you write -5.6 x 10-3 in standard form?

a)

0.0056

b)

-5,600

c)

0.00056

d)

-0.0056

43.

Scientific Notation is made up of two number parts. The first part should be a number between 1 and 100.

a)

True

b)

False

44.

Scientific Notation is made up of two number parts. The second part is a power of base 10.

a)

True

b)

False

45.

When writing a number in scientific notation, the first number must be greater than 1, but less than 10.

a)

False

b)

True

46.

How do you write

1001

in scientific notation?

a)

1.0001 x 104

b)

1.01 x 105

c)

1.001 x 103

d)

10.1 x 103

47.

How do you write

8.317 x 106

in standard form?

a)

8, 371, 000

b)

83, 170, 000

c)

837, 100

d)

8, 317, 000

48.

Express the following in scientific notation:

10,030,400,000

a)

1.00304 x 109

b)

1.00304 x 1010

c)

1.00403 x 1010

d)

1.00304 x10-10

49.

Express the following in scientific notation:

.000045

a)

4.5 x 10-5

b)

45 x 10-6

c)

4.5 x105

d)

45 x 106

50.

Convert to standard notation:

2.4 x 10-3

a)

2400

b)

0.24

c)

0.024

d)

0.0024

51.

Convert to standard notation:

3.05 x 105

a)

305,000

b)

305

c)

3,050,000

d)

30,500

52.

Multiply:

(3.4 x 105)(1.2 x 10-3)

a)

4.08 x 10-8

b)

4.8 x 102

c)

4.08 x 102

d)

4.08 x 10-15

53.

Divide:

(6.9 x 107) / (2.3 x 10-3)

a)

3 x 1010

b)

3 x 104

c)

3 x 10-4

d)

3 x 10-11

54.

Multiply:

(9.4 x 106)(3.2 x 105)

a)

30.08 x 1011

b)

3.8 x 101

c)

3.008 x 1012

d)

2.9375 x 101

55.

Solve:

(2.1×10​2​​) × (3.0×10​4)

a)

5.1 x 102

b)

6.3 x 106

c)

5.1 x 106

d)

6.3 x 108

56.

Solve:

(9 x 10-6) / (3 x 10-3)

a)

27 x 10-9

b)

3 x 10-3

c)

3 x 10-9

d)

27 x 10-3

57.

Write the answer in scientific notation.

7.3 x 105 + 3.7 x 105 =

a)

11.0 x 105

b)

1.1 x 1010

c)

1.10 x 1011

d)

1.1 x 10 6

58.

Write the answer in scientific notation.

5 x 108 - 3.4 x 108 =

a)

2.4 x 108

b)

2.4 x 100

c)

1.6 x 100

d)

1.6 x 108

59.

Write the answer in scientific notation.

4.1 x 105 + 5.5 x 106 =

a)

5.91 x 106

b)

9.6 x 105

c)

9.6 x 1011

d)

4.65 x 105

60.

Which is the smallest?

1.3 x 1020

2.9 x 1021

9.5 x 1032

8.4 x 1019

a)

1.3 x 1020

b)

2.9 x 1021

c)

9.5 x 1032

d)

8.4 x 1019

61.

Which is the largest?

4.8 x 10-6

1.3 x 1020

3.1 x 10-4

9.2 x 10-5

9.5 x 1032

5.9 x 10-5

2.9 x 1021

8.4 x 1019

a)

9.5 x 1032

b)

3.1 x 10-4

c)

8.4 x 1019

d)

4.8 x 10-6

62.

(2.9 x 10-9) - (1.7 x 10-9)

a)

1.2 x 10-18

b)

1.2 x 10-9

c)

4.6 x 10-9

d)

1.335 x 10-4

63.
Find the length of the missing side. 
a)
17 cm
b)
22 cm
c)
15 cm
d)
13 cm
64.
Find the length of the missing side. 
a)
25 cm
b)
42 cm
c)
52 cm
d)
48 cm
65.
Find the length of the missing side. 
a)
20 in.
b)
68 in.
c)
16 in.
d)
80 in.
66.
Find the length of the missing side. 
a)
48 in.
b)
52 in.
c)
16 in.
d)
24 in.
67.
Which set of sides would make a right triangle?
a)
4,5,6
b)
8,10,12
c)
5,12,13
d)
5,10,12
68.
Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?
a)
14
b)
10
c)
5.3
d)
2
69.
A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?
a)
7.5 in
b)
12.4 in
c)
13.6 in 
d)
14.3 in

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