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Review for Test 2

Total questions: 60

Worksheet time: 2hrs 23mins

Name
Class
Date
1.

The smallest natural number is _.

a)

-1

b)

0

c)

1

d)

2

2.

The smallest whole number is _.

a)

-1

b)

0

c)

1

d)

2

3.

What is the base in a power?

a)

The number that shows how many times the base is used as a factor.

b)

A letter that stands for an unknown number.

c)

The number that is used as a repeated factor.

d)

A particular point or step in the development of something.

4.

What is an exponent in a power?

a)

The number that shows how many times the base is used as a factor.

b)

A letter that stands for an unknown number.

c)

The number that is used as a repeated factor.

d)

A particular point or step in the development of something.

5.

Write 3 x 3 x 3 x 3 using an exponent.

a)

81

b)

34

c)

43

d)

12

6.

Which is equivalent to 24?

a)

8

b)

20

c)

16

d)

12

7.

What is 45 in expanded form?

a)

5 x 5 x 5 x 5

b)

4 x 4 x 4 x 4

c)

5 x 5 x 5 x 5 x 5

d)

4 x 4 x 4 x 4 x 4

8.

{...,-6, -5, -4, -3, -2, -1, 0, ...} is a(n) ____ set.

a)

finite

b)

infinite

c)

null

d)

empty

9.
25 is the same as 2 x 5.
a)
True
b)
False
10.

How many elements are in a null set?

a)

infinite

b)

0

c)

at most 10

d)

at least 1

11.

Which of the following numbers is irrational?

a)

0

b)

-1

c)

3.4781567840982...

d)

12-\frac{1}{2}

12.

'\cup'  means _____ in set theory.

a)

Union

b)

Intersection

13.

'\cap'  means ______ in set theory.

a)

Intersection

b)

Union

14.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

15.
If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?
a)
{3, 5, 7}
b)
{2, 3, 5, 7}
c)
{2, 3, 5, 7, 9}
d)
{1, 2, 3, 5, 7, 9}
16.
What type of set is denoted as either { } or ∅?
a)
Universal Set
b)
Empty (or Null) Set
c)
Disjointed Set
d)
Complement of a Set
17.
Which picture shows 3/4?
a)
green
b)
blue
c)
purple
d)
pink
18.
What fraction of the circle is SHADED?
a)
b)
c)
¼
19.
What fraction of this shape is orange?
a)
2/8
b)
8/2
c)
3/8
d)
2/7
20.

Tell what fraction of each shape is shaded.

a)

2/8

b)

5/8

c)

6/8

d)

7/8

21.

Tell what fraction of each shape is shaded

a)

3/4

b)

1/4

c)

4/4

d)

2/4

22.

Tell what fraction of each shape is shaded.

a)

2/4

b)

3/4

c)

4/4

d)

1/4

23.

Tell what fraction of each shape is shaded

a)

2/4

b)

3/4

c)

4/4

d)

1/4

24.
2 + (9- 4)
a)
16
b)
77
c)
79
25.
Evaluate the expression.
a)
1
b)
3.74
c)
7
d)
49
26.
Evaluate the expression.
a)
8
b)
-8
c)
14
d)
-14
27.

Match the following

a)

5!

1.

120

b)

6!

2.

720

c)

6! - 5!

3.

600

d)

2! + 3! + 4!

4.

32

e)

10!8!\frac{10!}{8!}  

5.

90

28.

7! =

(a)  

29.

In math, what is the ! symbol known as?

a)

Factorial

b)

Polynomial

c)

Cube Root

d)

Nothing. It is only used in ELA.

30.
How do you write this in exponent form?
4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
a)
47
b)
65,536
c)
48
d)
74
31.

|572| = ?

a)

275

b)

-572

c)

57

d)

572

32.

Determine if this statement is True or False.

|3| is -3.

a)

True

b)

False

33.

What is |-26| ?

a)

26

b)

-26

c)

-36

d)

36

34.
∣-5∣ _____ ∣5∣
a)
<
b)
>
c)
=
35.
Compare|-5| to the |-10|
a)
|-5| > |-10|
b)
|-5| = |-10|
c)
|-5| < |-10|
36.

Which of the following sets of numbers does 0 belong to? Select all that apply.

a)

Natural (Counting) Numbers

b)

Whole Numbers

c)

Integers

d)

Rational Numbers

e)

Irrational Numbers

37.

Which subset of real numbers does  16\sqrt{16}  belong to? Select all that apply.

a)

Natural

b)

Whole

c)

Integer

d)

Rational

e)

Irrational

38.

Which subset of real numbers best describes the number of people on a bus?

a)

Whole

b)

Integer

c)

Rational

d)

Irrational

39.

Which of the following numbers are in the intersection of A and B  (AB)?\left(A\cap B\right)?  Select all that apply.

a)

11

b)

12

c)

13

d)

15

e)

This is an empty set

40.

Which of the following numbers are in the Union of A and B  (AB)\left(A\cup B\right)  ? Select all that apply.

a)

11

b)

12

c)

13

d)

15

e)

This is an empty set.

41.

80=8^0=  

a)

0

b)

1

c)

8

d)

None of the above

42.

Classify 1710\frac{17}{10}

a)
Whole
b)
Rational
c)
Natural
d)
None of the above
43.
Classify √35.
a)
Rational, Integer
b)
Whole, Integer, Rational 
c)
Irrational, Integer
d)
Irrational
44.

Match the following

a)

525^2

1.

25

b)

5 x 2

2.

10

c)

151^5

3.

1

d)

1 x 5

4.

5

e)

252^5

5.

32

45.

Find the value of the power.

(2)3\left(-2\right)^3

a)

-6

b)

6

c)

-8

d)

8

46.

Use a factor tree to find the prime factorization of 32

a)

2x2x2x4

b)

2x2x2x2x2

c)

4x4x2

d)

2x2x2x2x1

47.

Use a factor tree to find the prime factorization of 105

a)

7x5x3

b)

11x5x3

c)

7x5x2x1

d)

7x5x3x2

48.

What is the Prime Factorization of 144?

a)

24 x 32

b)

22 x 34

c)

24 x 34

d)

22 x 3 x 32

49.

626^{-2}  

a)

6-6  

b)

36-36  

c)

136\frac{1}{36}  

d)

3636  

50.
Make this negative exponent positive.
9-3
a)
93
b)
1/9-3
c)
1/93
d)
729
51.
2-1
a)
1/2
b)
1/1
c)
-1/1
d)
-1/2
52.

-9² =

(a)  

53.

Using the paper-folding activity, what does 3 mean in the equation 2³= 8?

a)

The paper is folded 3 times.

b)

The number of layers get tripled after each fold.

c)

The total number of layers is 3.

d)

The paper is teared apart 3 times after folding.

54.

The symbol for the subset of integers is _.

(a)  

55.

The symbol for the subset of rational numbers is _.

(a)  

56.

The symbol for the subset of irrational numbers is _.

(a)  

57.

True or False: -1²= (-1)²

a)

True

b)

False

58.

Classify the number 205\frac{20}{5}

a)

natural

b)

whole

c)

integer

d)

rational

59.

Which of the following expressions is in expanded form?

a)

3*3*3

b)

c)

27

d)

333^{-3}

60.

Evaluate: 1000-100^0

(a)