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ALGEBRA module 2 review

Total questions: 50

Worksheet time: 50mins

Name
Class
Date
1.
a)
72
b)
71/2
c)
7-2
d)
7-1/2
2.
a)
44/3
b)
43/4
c)
24/3
d)
23/4
3.
a)
23/5
b)
-23/5
c)
25/3
d)
85
4.
a)
73
b)
7
c)
73/4
d)
74/3
5.
a)
216
b)
61/2
c)
62
d)
63/2
6.
a)
21/6
b)
64
c)
61/2
d)
26
7.
Write the expression in exponential form:
√23
a)
231/2
b)
23-1/2
c)
232
d)
23-2
8.
Write the expression in exponential form:
∛x2
a)
x3/2
b)
x2/3
c)
x1/2
d)
x1/3
9.
Write the expression in exponential form:
∜x5
a)
x4/5
b)
x5/4
c)
x5
d)
x1/4
10.
Simplify the following expression:
a)
2
b)
4
c)
16
d)
64
11.

1252/3

a)

5

b)

25

c)

75

d)

5

12.

85/3

a)

64

b)

32

c)

16

d)

24

13.

644/3

a)

256

b)

8

c)

84

d)

2

14.
45/2 = ?
a)
10
b)
16
c)
32
d)
64
15.
Re-write the expression in radical form.
x2/3
a)
∛x2
b)
√x3
c)
(1/x)
d)
∛x
16.
 Write in exponential form
 ∛x⁷
a)
x⁷∕ ³
b)
x3⁄7
c)
3x⁷
d)
7x³
17.
The square root of 36x is __________
a)
6
b)
6x
c)
4x
d)
6x2
18.
Simplify √125
a)
√125
b)
5√3
c)
3√5
d)
5√5
19.
√24
a)
4√6
b)
2√6
c)
6√2
d)
2√12
20.
How can -7.5 best be classified?
a)
rational, real
b)
irrational, real
c)
rational
d)
irrational
21.
Zero can be classified as all of the following except which?
a)
Whole
b)
Rational
c)
Integer
d)
Natural
22.
π or PI is classified as which?
a)
Rational
b)
Irrational
c)
Rational, Real
d)
Irrational, Real
23.
Classify the following:
0.478123123123123123....
a)
Rational
b)
Irrational
24.
Classify the following:
 -78
a)
integer
b)
integer, real
c)
integer, whole, rational
d)
integer, rational, real
25.
What is the definition of integers?
a)
Numbers you count on your fingers and toes
b)
Natural numbers and zero
c)
Whole numbers and their opposites
d)
Terminating or repeating decimals
26.
Classify the following:
√13?
a)
Rational
b)
Irrational
27.
Classify the number 3
a)
Natural, Whole, Integer, Rational
b)
Whole, Rational
c)
Integer
d)
Rational
28.
All whole numbers are rational numbers
a)
True
b)
False
29.
All Integers are whole numbers
a)
true
b)
false
30.
What is the definition of an integer
a)
All positive and negative whole numbers
b)
Decimals or fractions that terminate for repeat
c)
All positive whole numbers
d)
0
31.
A repeating decimal is what type of number?
a)
Rational 
b)
Integer
c)
Natural 
32.
What type of number is -3/1
a)
whole number
b)
integer and rational
c)
rational
d)
integer
33.
List all the classifications of numbers that apply to the real number. 
436
a)
Irrational 
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
34.
List all the classifications of numbers that apply to the real number. 
-18/6
a)
Rational
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
35.
List all the classifications of numbers that apply to the real number. 
-1/4
a)
None
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational
36.
List all the classifications of numbers that apply to the number.
41.013
a)
Rational
b)
Rational, Integer, Whole
c)
Natural, Whole, Integer, Rational
d)
Rational, Integer
37.

Classify the number: -23

a)

natural, whole, integer, rational, real

b)

integer, rational, real

c)

integer, irrational, real

d)

whole, integer, rational, real

38.

-14 could be classified as all of these EXCEPT?

a)

Integer

b)

Real

c)

Rational

d)

Whole

39.

A non-repeating or non-terminating decimal is classified as ________________.

a)

rational, real

b)

irrational, real

c)

integer, rational, real

d)

whole, integer, irrational, real

40.

A repeating or terminating decimal is classified as ___________?

a)

rational, real

b)

integer, rational, real

c)

irrational, real

d)

whole, integer, irrational, real

41.
Zero Exponent Law states that _____ becomes a 1.
a)
the exponent
b)
the base
c)
nothing
d)
the whole term
42.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
43.
x⁻⁶
a)
1 ⁄ x⁶
b)
x⁶
c)
-x⁶
d)
-1 ⁄ x⁶
44.
(2x7)3
a)
6x21
b)
8x21
c)
6x10
d)
8x10
45.
Rational or Irrational?
a)
Rational
b)
Irrational
46.
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
47.
5³ ⋅ 5⁴
a)
5⁷
b)
5⁻¹
c)
5¹²
d)
5
48.
Simplify: 6 ⋅ 6⁷
a)
6⁸
b)
6⁶
c)
6⁷
d)
6
49.
(2⁸)²
a)
2¹⁶
b)
2¹⁰
c)
2⁶
d)
2⁴
50.
8⁷ ⁄ 8²
a)
8⁵
b)
8⁹
c)
8¹⁴
d)
1⁵