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Quiz 1-2 Review

Total questions: 80

Worksheet time: 8hrs 18mins

Name
Class
Date
1.
Which is larger? √20 or √26
a)
√20
b)
√26
2.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
3.
Jamie used a microscope to measure the diameter of a hair.  She found the diameter to be 0.000072 meters.  How is this number written in scientific notation?
a)
7.2 X 10⁻⁵
b)
7.2 X 10⁵
c)
7.2 X 10⁶
d)
7.2 X 10⁻⁶
4.
What is seven squared?
a)
18
b)
24
c)
49
d)
80
5.
The square root of 256 is...
a)
15
b)
18
c)
13
d)
16
6.

List the following numbers from least to greatest:

-64 , 3.5 , √27 , 6.666...

a)

-64 , 3.5 , √27 , 6.666...

b)

3.5 , √27 , 6.666..., -64

c)

3.5, -64, √27, 6.666...

d)

6.666, √27, -64, 3.5

7.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
8.
3. Which list of numbers is in order from least to greatest?
A. 5/8,  9/16,  5/12
B. 5/12,  9/16,  5/8
C. 9/16,  5/12,  5/8
D. 9/16,  5/8,  5/12
a)
A
b)
B
c)
C
d)
D
9.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
10.
x-4
a)
1/x4
b)
4x
c)
4/x4
d)
-1/x-4
11.
How do you write 2 x 2 x 2 x 2 with an exponent?
a)
42
b)
24
c)
22
12.
Which is greater,  26540 or 50?
a)
26540
b)
50
c)
They are the same
d)
Zero is greater
13.
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
14.
Order from least to greatest:
6.9, √37, √25, 28/4
a)
6.9, √37, √25, 28/4
b)
28/4, 6.9, √37, √25, 
c)
√37, √25, 28/4, 6.9
d)
√25, √37, 6.9, 28/4
15.
How would you say this in exponential form?
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
16.

What is the estimate for this cube root?

a)

-5

b)

5

c)

4

d)

11

17.
How do you correctly say 43
a)
4 squared
b)
3 quadrupled
c)
4 cubed
d)
4 to the power of 2
18.
What is the square root of 144?
a)
4
b)
12
c)
16
d)
32
19.

Which number is equivalent to 5-1?

a)
b)
c)
d)
20.
How would you write -564,000,000 in scientific notation?
a)
5.64 x 10-7
b)
5.64 x 10-8
c)
-5.64 x 108
d)
-56.4 x 107
21.

What is the value of 92?

a)

18

b)

81

c)

27

d)

72

22.

Which of the following is equal to the cube root of 64?

a)

2

b)

4

c)

6

d)

8

23.

How would you write 0.00045 in scientific notation?

a)

4.5 x 10-3

b)

45 x 10-5

c)

4.5 x 10-4

d)

4.5 x 103

24.
Rewrite using a positive exponent.
7-10
a)
1/710
b)
710
c)
1/7-10
d)
-70
25.
Rewrite using a positive exponent.
g-7
a)
1/g7
b)
g7
c)
1/g-7
d)
-g7
26.
Rewrite using a positive exponent.
w-13
a)
-w13
b)
1/w13
c)
1/w-13
d)
w13
27.

Are these two equivalent:

22 = (-2)2

a)

Yes

b)

No

28.

Write this expression using positive exponent:

x-7

a)

-7

b)

-7x

c)

1/x7

d)

-1/x7

29.

Simplify (evaluate):

5-2

a)

-10

b)

1/25

c)

1/(5)2

d)

-1/10

30.

Simplify (evaluate):

7-2

a)

49

b)

10/49

c)

-49

d)

1/49

31.

Any number written to the 0 power is always 1

Example: 80=1

a)

True

b)

False

c)

Sometimes

32.

simplify (-3)4

a)

81

b)

-81

c)

12

d)

-12

33.
Simplify (-9)0

a)
-9
b)
-1
c)
1
d)
9
34.

Write with positive exponents:

a)

a-2

b)

a2

c)

1a2\frac{1}{a^2}

d)

2a

35.

Simplify

a)

7a5b3\frac{7a^5}{b^3}

b)

b37a5\frac{b^3}{7a^5}

c)

7b3a−5\frac{7b^3}{a^{-5}}

d)

7b3a5\frac{7b^3}{a^5}

36.

Simplify

a)

15x3\frac{1}{5x^3}

b)

1x5\frac{1}{x^5}

c)

−5x3-\frac{5}{x^3}

d)

5x3\frac{5}{x^3}

37.

Simplify

a)

a3b24\frac{a^3b^2}{4}

b)

4a3b2\frac{4a^3}{b^2}

c)

4a3b2\frac{4}{a^3b^2}

d)

14a3b2\frac{1}{4a^3b^2}

38.

Rewrite using a positive exponent.
y−22y^{-22}  

a)

−y22-y^{22}  

b)

1y22\frac{1}{y^{22}}  

c)

1y−22\frac{1}{y^{-22}}  

d)

y22y^{22}  

39.

Write an equivalent expression for h−8h^{-8} using a positive exponent.

a)

1h8\frac{1}{h^8}  

b)

−8h-8h  

c)

8h\frac{8}{h}  

d)

h8h^8  

40.

Simplify.
  3x−3y03x^{-3}y^0  


a)

3x3y\frac{3x^3}{y}  

b)

y3x3\frac{y}{3x^3}  

c)

3x3\frac{3}{x^3}  

d)

x3x^3  

41.

Simplify. 
2x−4y32x^{-4}y^3  

a)

2y3x4\frac{2y^3}{x^4}  

b)

x42y3\frac{x^4}{2y^3}  

c)

y32x4\frac{y^3}{2x^4}  

d)

2x4y3\frac{2x^4}{y^3}  

42.

Simplify.
3x−4y43x^{-4}y^4  

a)

3y4x4\frac{3y^4}{x^4}  

b)

3yx\frac{3y}{x}  

c)

3y44x\frac{3y^4}{4x}  

d)

4yx\frac{4y}{x}  

43.
Simplify
a)

18\frac{1}{8}  

b)

-16

c)

116\frac{1}{16}  

d)
16
44.
√16
a)
4
b)
8
c)
2
d)
9
45.
√64
a)
3
b)
8
c)
7
d)
6
46.
√121
a)
12
b)
10
c)
11
d)
3
47.
√225
a)
13
b)
16
c)
18
d)
15
48.
√100
a)
15
b)
10
c)
11
d)
12
49.
Which point most closely corresponds to ∛8 on the number line below? (Click the question to see the picture)
a)
P
b)
Q
c)
R
d)
S
50.
In between what two integers is √44?
a)
3 and 4
b)
4 and 5
c)
5 and 6
d)
6 and 7
51.
In between what two integers is √77?
a)
5 and 6
b)
6 and 7
c)
7 and 8
d)
8 and 9
52.
Which number is NOT a perfect square?
a)
196
b)
169
c)
121
d)
132
53.
Find the approximate value of √30 to the tenths place.
a)
4.8
b)
5.5
c)
6.5
d)
7.2
54.
The ∛24 is closest to which point on the number line? (Click the question to see the picture)
a)
A
b)
B
c)
C
d)
D
55.
63 = ?
a)
196
b)
206
c)
216
d)
226
56.
Find the cube root. 
a)
-5
b)
5
c)
4
d)
-4
57.
Find the square root.
a)
4/5
b)
2/3
c)
-4/5
d)
-2/3
58.
Solve the equation for z.
a)
1/4
b)
-1/2
c)
1/2
d)
-1/4
59.

Write in scientific notation

16,200,000,000

a)

1.62 x 10810^8  

b)

162 x 10810^8  

c)

1.62 x 101010^{10}  

d)

162 x 101010^{10}  

60.

Write in Scientific Notation

0.000402

a)

0.402 x 10−310^{-3}  

b)

4.02 x 10−410^{-4}  

c)

4.02 x 10410^4  

d)

4.02 x 10−310^{-3}  

61.

Write in Scientific Notation

178

a)

1.78 x 10210^2  

b)

1.78 x 10−210^{-2}  

c)

0.178 x 10310^3  

d)

17.8 x 1010  

62.

Write in Scientific Notation

0.023

a)

23 x 10310^3  

b)

23 x 10−310^{-3}  

c)

2.3 x 10−210^{-2}  

d)

2.3 x 10210^2  

63.

Write in Scientific Notation

40,000,000,000

a)

4 x 101010^{10}  

b)

0.4 x 101010^{10}  

c)

4 x 10−1010^{-10}  

d)

0.4 x 10−1010^{-10}  

64.

Write in Scientific Notation

0.000000123

a)

12.3 x 10810^8  

b)

12.3 x 10−810^{-8}  

c)

1.23 x 10710^7  

d)

1.23 x 10−710^{-7}  

65.

Write in Scientific Notation

53240

a)

5.3 x 10410^4  

b)

5.32 x 10410^4  

c)

5.234 x 10410^4  

d)

5.3240 x 10410^4  

66.

Write in Scientific Notation

0.00072

a)

0.72 x 10−310^{-3}  

b)

7.2 x 10−310^{-3}  

c)

7.2 x 10−410^{-4}  

d)

0.72 x 10310^3  

67.

Write in Scientific Notation

80,005,000

a)

8.0 x 10710^7  

b)

8.5 x 10410^4  

c)

8.0005 x 10410^4  

d)

8.0005 x 10710^7  

68.

Write in Scientific Notation

0.00004567

a)

4567 x 10−810^{-8}  

b)

456.7 x 10−710^{-7}  

c)

45.67 x 10−610^{-6}  

d)

4.567 x  10−510^{-5}  

69.
What is scientific notation?
a)
A long way to write really short  numbers
b)
A short way to write really long numbers
c)
I don't know...
d)
None of the above
70.
UNDERSTANDING
If the exponent is a negative number...
a)
you will get a large number
b)
you will get a small number
71.
UNDERSTANDING
If the exponent is a positive number...
a)
you will get a large number
b)
you will get a smaller number
72.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
73.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
74.
How would you write 4.3756 x 104 in standard form?
a)
437,560,000
b)
0.00043756
c)
43,756
d)
4,3756
75.

How would you write 0.0005 in scientific notation?

a)

50 x 105

b)

5 x 10-4

c)

5 x 103

d)

.5 x 103

76.
How would you write -5.6 x 10-3 in standard form?
a)
0.0056
b)
-5,600
c)
0.00056
d)
-0.0056
77.
Which of the following in the LARGEST number?
a)
9 x 106
b)
8 x 1010
c)
1.3 x 1012
d)
5.3 x 103
78.
Which of the following numbers is the SMALLEST?
a)
8.7 x 103
b)
3 x 104
c)
1.3 x 108
d)
9 x 102
79.
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
80.
Convert to standard notation:
2.4 x 10-3 
a)
2400
b)
0.24
c)
0.024
d)
0.0024

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