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WorksheetsIM2 Unit 1 Quiz - Radicals and Exponents
Total questions: 60
Worksheet time: 14hrs 19mins
Name
Class
Date
1.
Simplify the following radical: √150
a)
5√15
b)
5√2
c)
5√6
d)
15√5
2.
The number under the radical sign or square root sign is called the ______.
a)
radical sign
b)
radicand
c)
factor
d)
exponent
3.
Simplify the following radical: 2√24
a)
4√6
b)
2√6
c)
24√2
d)
4√4
4.
a)
7√3
b)
Can't Simplify
c)
6√15
d)
6√3
5.
a)
8√6
b)
8√12
c)
12√6
d)
12√12
6.
Add: 4√7 - 10 √7 + 7√7
a)
-6√7
b)
14√7
c)
-3√14
d)
√7
7.
Simplify: 2√40 - 3√10
a)
5√10
b)
√10
c)
-√30
8.
Simplify: √28 * √3
a)
√84
b)
2√21
c)
4√21
d)
2√7 * √3
9.
√5 × √10
a)
50
b)
2√5
c)
5√2
d)
5√10
10.
Simplify:
√6 ⋅√6
√6 ⋅√6
a)
√36
b)
2√3
c)
12
d)
6
11.
a)
A
b)
B
c)
C
d)
D
12.
a)
A
b)
B
c)
C
d)
D
13.
a)
A
b)
B
c)
C
d)
D
14.
(-2√7)(3√28)
a)
-6√14
b)
6√13
c)
-84
d)
-78
15.
Simplify:
6√2 ⋅5√14
6√2 ⋅5√14
a)
32√7
b)
60√7
c)
2√7
d)
30√7
16.
Simplify 2√5(3√3+6√2)
a)
6√15+12√10
b)
15√6+30√10
c)
90
d)
6√10+12√6
17.
Multiply the radicals
(-7+√3)(4+√3)
a)
-25-3√3
b)
37+11√3
c)
25-3√3
d)
21+11√3
18.
Simplify -2√10 ⋅ 3√20
a)
-60√2
b)
10√2
c)
√30
d)
-6√200
19.
a)
A
b)
B
c)
C
d)
D
20.
a)
A
b)
B
c)
C
d)
D
21.
Divide:
a)
√12
b)
(4√3)/3
c)
√3
d)
(2√3)/3
22.
Simplify:
a)
1/5
b)
20/100
c)
2/10
d)
1/√25
23.
Simplify:
a)
4√2
b)
4
c)
2√2
d)
8√2
24.
5³⋅5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
25.
6⋅6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
26.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
27.
Anything raised to a power of zero is always:
a)
0
b)
1
c)
itself
d)
negative
28.
According to exponent rules, when we raise the power to a power we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
29.
According to exponent rules, when we multiply the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
30.
According to exponent rules, when we divide the expressions we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
31.
n²⋅n⁴⋅n⁵
a)
n¹¹
b)
n⁴⁰
c)
n¹³
d)
n²²
32.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵
33.
3⁻⁴
a)
1 ⁄ 34
b)
-34
c)
34
d)
1 ⁄ 12
34.
7⁰
a)
1
b)
7
c)
0
d)
-7
35.
(34x5y6z-7)0
a)
34x5y6 / z7
b)
34x5y6 / x-7
c)
0
d)
1
36.
(3y⁴)²
a)
9y⁸
b)
9y⁶
c)
6y⁸
d)
6y⁶
37.
3x⁻³
a)
1⁄3x³
b)
3⁄x³
c)
3x³
d)
-3x³
38.
Fill in the blank with the correct exponent to make the statement true.
316 = (38)(3_)
316 = (38)(3_)
a)
2
b)
8
c)
4
d)
1
39.
In 23 what is the base?
a)
2
b)
3
c)
23
40.
In 23 what is the exponent?
a)
2
b)
3
c)
23
41.
Which is equivalent to 5 x 5 x 5 x 5
a)
53
b)
54
c)
45
d)
55
42.
Which is equivalent to 34
a)
27
b)
9
c)
81
d)
12
43.
What is equivalent to 5 squared?
a)
25
b)
10
c)
55
d)
30
44.
Simplify the exponential expression:
a)
10x-2
b)
2x2
c)
2x12
d)
10x12
45.
Simplify the exponential expression.
a)
2x6y12
b)
2x5y7
c)
8x6y12
d)
8x5y7
46.
Write in exponential form
∛x⁷
∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
47.
Write in exponential form
√x⁵
√x⁵
a)
X¹∕ ⁵
b)
X ²⁄⁵
c)
X⁵⁄ ²
d)
X⁵
48.
Write as a radical expression
y²⁄ ³
y²⁄ ³
a)
2y³
b)
√y³
c)
∛y²
d)
3y²
49.
Write as a radical expression
y¹⁄ ³
y¹⁄ ³
a)
∛y
b)
y³
c)
√y
d)
1∕ 3y
50.
Simplify
x²⁄ ³⋅x¹⁄ ³
x²⁄ ³⋅x¹⁄ ³
a)
2x
b)
x²⁄₉
c)
x
d)
x²
51.
What is the value of 27⅓?
a)
27
b)
9
c)
3
d)
1/3
52.
Simplify the following expression:
a)
16
b)
32
c)
40
d)
64
53.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
54.
What is 80 ?
a)
1
b)
8
c)
0
d)
Psh..... I don't know. I'm not a math teacher.
55.
When writing a number in scientific notation, the first number must be greater than 1, but less than 10.
a)
False
b)
True
56.
The rule of scientific notation is to write all exponents with a base of ____.
a)
50
b)
5
c)
100
d)
10
57.
Write in standard form:
8 x 104
8 x 104
a)
8,000
b)
80,000
c)
.00008
58.
Which number is correctly written in scientific notation?
a)
5.67 x 105
b)
56.7 x 103
c)
0.567 x 106
59.
Write in scientific notation:
0.0000378
0.0000378
a)
3.78 x 10-5
b)
3.78 x 10-6
c)
0.378 x 10-5
60.
Which of the following is correct scientific notation?
a)
20.35 x 104
b)
.2035 x 104
c)
2035 4
d)
2.035 x104
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