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Alg 2 10/31 Props and Ops of Sets MCM

Total questions: 100

Worksheet time: 10hrs 3mins

Name
Class
Date
1.

1.2.2

a)

A

b)

B

c)

C

2.

1.2.2a

How many distinct elements are in the word "Shampoo"



(a)  

3.

1.2.2a

How many distinct elements are in the show title "Jujutsu Kaisen"



(a)  

4.

1.2.3

a)

A

b)

B

c)

C

5.

1.2.4

a)

A

b)

B

c)

C

6.

1.2.5

a)

A

b)

B

c)

C

7.

1.2.6

a)

A

b)

B

c)

C

8.

1.2.7

a)

A

b)

B

c)

C

9.

1.2.8

a)

A

b)

B

10.

1.2.9

a)

A

b)

B

11.

1.2.10

a)

A

b)

B

12.

1.2.11

a)

A

b)

B

c)

C

13.

1.2.12

a)

A

b)

B

14.

1.2.13

a)

A

b)

B

c)

C

15.

1.3.1

a)

A

b)

B

c)

C

d)

D

e)

E

16.

1.3.2a

Match #1 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

17.

1.3.2b

Match #2 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

18.

1.3.2c

Match #3 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

19.

1.3.2d

Match #4 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

20.

1.3.2e

Match #5 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

21.

1.3.3a

Match #1 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

22.

1.3.3b

Match #2 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

23.

1.3.3c

Match #3 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

24.

1.3.3d

Match #4 to the correct option on the right.

a)

A

b)

B

c)

C

d)

D

e)

E

25.

1.3.3e

Match #5 to the correct option on the right.

Standby for additional enrichment (time permitting)

a)

A

b)

B

c)

C

d)

D

e)

E

26.

List all the elements in A= {letters in the word "BOOK"}.

a)

A= {B,O,K}

b)

A= {B,O,O,K}

c)

A= {B,K}

d)
27.

Complete the statement correctly: Cow____ the set of all farm animals.

a)

ϵ\epsilon

b)

\subset

c)

\subseteq

d)

⊄\not\subset

28.

Which of these sets is equal to {L,O,V,E}?

a)

{O,V,E}

b)

{S,E,V,O,L}

c)

{O,E,L,V}

d)

{L,E,V}

29.

Describe this set in words: {2,3,5,7,11,13,17,19}

a)

Set of prime numbers from 2 to 19

b)

Set of prime numbers less than 19

c)

Set of odd numbers less than 20

d)

Set of whole numbers less than 20

30.

Which of the following statements is TRUE?

a)

2 ϵ\epsilon {1,3,5,7}

b)

{5} ϵ\epsilon {5,10,15,20,}

c)

6 ϵ\epsilon {x/x is an odd number}

d)

3 ϵ\epsilon {x/x is a prime number}

31.

Consider M={vowels in the word "MATHEMATICS"}. Find n(M).

a)

4

b)

3

c)

7

d)

10

32.

Write {even whole numbers between 3 to 15} using the roster method.

a)

{3,5,7,9,11,13,15}

b)

{5,7,9,11,13}

c)

{4,6,8,10,12,14}

d)

{2,4,6,8,10,12,14,16}

33.

If A={6,8,10,12} then 5 A

a)

True

b)

False

34.

Elements of set do not repeat itself.

a)

True

b)

False

35.

If P = {a, e, i, o, u} then choose which are correct .

a)

a P

b)

b P

c)

i P

d)

g ∉ P

36.

List the elements of A

a)

{2,3}

b)

{2,3,5,9}

c)

{1,2,3,4,5}

d)

{5,9}

37.

List the elements of A Ո B

a)

{5,9}

b)

{2,3,7,6,8}

c)

{2,3,5,9,7,6,8}

d)

{1,4}

38.

For the given sets A and B, which statement is true?

a)

A ⊂ B

b)

B ⊂ A

c)

A = B

d)

A' = B

39.

List the elements of B

a)

{4,5,6,7,8,9,10,11}

b)

{4,6,7,8}

c)

{9,5,10,11}

d)

{4,5,6,7,8,9,10}

40.
Set  Q  contains the letters in the word  SISTER .
 Which of the following is set  Q ?
a)
Q = { S, T, R }
b)
Q = { I, E }
c)
Q = { S, I, S, T, E, R }
d)
Q = { S, I, T, E, R }
41.

Which of the following is the symbol for null set?

a)

b)

\subset  

c)

\in  

d)

⊄\not\subset  

42.

Which of the following means proper subset?

a)

\subset  

b)

\subseteq  

c)

\in  

d)

=

43.

Which of the following is the symbol for element of?

a)

b)

\subset  

c)

\in  

d)

⊄\not\subset  

44.

< says:

a)

greater than

b)

less than

c)

greater than or equal to

d)

less than or equal to

45.

What does this symbol ( ∪ ) represent in set theory?

a)

Union

b)

Intersection

c)

Disjointed

d)

Subset

46.
What does this symbol ( ∩ ) represent in set theory?
a)
Union
b)
Intersection
c)
Disjointed
d)
Subset
47.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Empty (or Null) Set

c)

Disjointed Set

d)

Subset

48.

Equivalent sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

49.

Equal sets have

a)

the same number of elements

b)

the exact same elements

c)

the opposite elements

d)

nothing

50.

What is intersection of A and B?

a)

A ∪ B

b)

c)

∉

d)

A ∩ B

51.

What is Union of A and B?

a)

A ∩ B

b)

A′

c)

A ∪ B

d)

A ⊂ B

52.

Find the sum (2x2 + 5x - 7) + ( 3 - 4x2 + 6x)

a)

2x2 + 3x +1

b)

-2x2 - 11x -4

c)

2x2+ 5x -7

d)

-2x2 + 11x -4

53.

Find the sum (4x3 - 5x2 + 3x) + (-2x3 - x2 + 6x)

a)

2x3 - 6x2 - 9x

b)

2x3 + 6x2 + 9x

c)

-2x3 - 6x2 + 9x

d)

2x3 - 6x2 + 9x

54.

Find the sum (3x - 4) + (12x + 10)

a)

x - 12

b)

15x + 6

c)

36x + 40

d)

17x + 9,000

55.

Find the sum (9x + 17) + (19x - 27)

a)

28x + 44

b)

28x - 10

c)

-28x + 10

d)

-171x - 459

56.

Find the sum (2x + 5y) + (3x - 2y)

a)

3x + 5y

b)

5x + 3y

c)

5x + 7y

d)

7xy + 1xy

57.
Classify by number of terms:
3x3 – 6x
a)
Monomial
b)
Binomial
c)
Trinomial
d)
4-Term Polynomial
58.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
59.
Multiply
x2(2x+3)
a)
x2+2x+3
b)
2x+3
c)
2x2+3x
d)
2x3+3x2
60.
Divide the polynomial by the monomial.
a)
15x9 - 8x3
b)
3x6 - 8x3
c)
-5x12
d)
3x6 - 40x3
61.
Divide the polynomial by the monomial.
a)
2x8-8x2-28x
b)
2x8-2x2-7x
c)
8x7-8x-28x
d)
2x-2x -7
62.

18y6 +9y4 12y23y2\frac{18y^{6\ }+9y^{4\ }-12y^2}{3y^2}  

a)

6y2 +3y2 4y26y^2\ +3y^2\ -4y^2  

b)

15y4 +6y2  915y^{4\ }+6y^2\ -\ 9  

c)

6y4 +3y246y^{4\ }+3y^2-4  

d)

6y3 3y2 +4y6y^{3\ }-3y^2\ +4y  

63.

Simplify (-8v4 + 4v3 + 3v) + (- 8v4 + 4v - 7)

a)

-17v4 + 4v3 + 2v - 7

b)

-16v4 + 4v3 + 10v - 7

c)

-16v4 + 4v3 + 7v - 7

d)

-16v4 + 4v3 + 2v - 7

64.
Find the difference. 
(3- 2x + 2x2) - (4x -5 +3x2)
a)
x2 + 6x + 8
b)
2x+ 5x - 7
c)
-x2 -6x + 8
d)
-2x2 + 11x - 4
65.
Add or Subtract to Simplify:
(x5 + x3) - (6x - x3 + 6x5)
a)
-5x5 + 2x3 - 6x
b)
7x5 - 6x
c)
-5x3 + 2x2 - 6x
d)
-5x5 - 6x
66.
What is the standard form of the polynomial,
7x - 125 - 6x4 + 14x2
a)
125 + 7x - 14x2 +6x4
b)
6x4  -14x2 - 7x +125
c)
125 + 14x2 + 7x  - 6x4
d)
-6x4+ 14x2 + 7x - 125
67.
(5x+2)(x2-3x+6)
a)
5x3 - 17x2 +24x +12
b)
5x3 + 17x2 - 24x +12
c)
5x3 - 13x2 + 24x +12
d)
5x3 +13x2 - 24x - 12
68.

(x+4)(x6)(x5)\left(x+4\right)\left(x-6\right)\left(x-5\right)  

a)

x37x214x+120x^3-7x^2-14x+120  

b)

x47x314x2+120xx^4-7x^3-14x^2+120x  

c)

x3+7x2+14x+120-x^3+7x^2+14x+120  

d)

x37x214x120-x^3-7x^2-14x-120  

69.

Divide

10x8y54x2y5\frac{10x^8y^5}{4x^2y^5}  

a)

6x6y6x^6y  

b)

5x62\frac{5x^6}{2}  

c)

5x6y2\frac{5x^6y}{2}  

d)

6x66x^6  

70.

Divide

10x8y54x2y5\frac{10x^8y^5}{4x^2y^5}  

a)

6x6y6x^6y  

b)

5x62\frac{5x^6}{2}  

c)

5x6y2\frac{5x^6y}{2}  

d)

6x66x^6  

71.
Anything raised to a power of zero is always: 
a)
0
b)
1
c)
itself
d)
negative
72.
According to exponent rules, when we raise the power to a power we _______ the exponents.
Example: (d2)5
a)
add
b)
subtract
c)
multiply
d)
divide
73.
According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c6 ⋅ c4
a)
add
b)
subtract
c)
multiply
d)
divide
74.
According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h8 / h3
a)
add
b)
subtract
c)
multiply
d)
divide
75.
(-2)³⋅(-2)⁶
a)
(-2)⁹
b)
(-2)¹⁸
c)
(-2)⁻³
d)
(-2)
76.
x⁵⁄x³
a)
b)
x
c)
1
d)
x⁸
77.
Simplify:  x10⋅x4
a)
x40
b)
x14
c)
x6
d)
2x14
78.

The associative property means...

a)

You can group the numbers however you want.

b)

You can change a multiplication sign to a division sign.

c)

You can leave one of the numbers off.

d)

You can't solve the problem.

79.
Name the Property
5(3+6) = (5*3) + (5*6)
a)
Distributive Property
b)
Commutative Property of Addition
c)
Commutative Property of Multiplication
d)
Addition Property of Zero
80.
According to exponent rules, when we divide powers we _______ the exponents.
a)
add
b)
subtract
c)
multiply
d)
divide
81.

Each object in a set is called

a)

Element

b)

roster

c)

intersection

d)

union

82.

What is an element?

a)

A member of a set

b)

Group of objects

c)

The intersection of two sets

d)

Subset

83.

Determine which number ∈ {2, 4, 6, 8, 10}

a)

1

b)

2

c)

3

d)

5

84.

List all the letters in the name " jennylyn"

a)

{j,e,n,n,y,l,y,n}

b)

{j,e,n,y,l,y,n}

c)

{j,e,n,y,l}

d)

{j.e.n}

85.

Given the sets:

S = { 1, 2, 3, 4, 5, 6 }S\ =\ \left\{\ 1,\ 2,\ 3,\ 4,\ 5,\ 6\ \right\}  

A = { 1, 2, 3 }A\ =\ \left\{\ 1,\ 2,\ 3\ \right\}  

B = { 2, 4, 6 }B\ =\ \left\{\ 2,\ 4,\ 6\ \right\}  

Which is correct?

a)

S  AS\ \supset\ A  

b)

A  BA\ \subset\ B  

c)

A  BA\ \supset\ B  

d)

S  AS\ \subset\ A  

e)

S  AS\ \in\ A  

86.
{A, B, C, D, E, F, G, H, I, J, K, L, M}
a)
Roster Form
b)
Universal Form
c)
Set Builder Notation
d)
Equivalent Inequalities
87.

A is a (proper) subset of B

a)

A ∪ B

b)

A ⊄ B

c)

A ⊂ B

d)

A ∩ B

88.

What is a Set?

a)

It has a limited number of elements.

b)

Two sets which have the same members.

c)

It is a collection of well-defined objects or elements.

d)

It has no element present in it.

89.

1.1

Which answer matches the question?

a)

That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.

b)

God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.

c)

That we are not our own but belong, body and soul, both in life and death, to God.

d)

God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.

e)

That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.

90.

2.1

Which answer matches the question?

a)

That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.

b)

God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.

c)

That we are not our own but belong, body and soul, both in life and death, to God.

d)

God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.

e)

That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.

91.

3.1

Which answer matches the question?

a)

That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.

b)

God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.

c)

There are three persons in the one true and living God: the Father, the Son, and the Holy Spirit. They are the same in substance, equal in power and glory.

d)

God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.

e)

That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.

92.

4.1

Which answer matches the question?

a)

That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ.

b)

God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will.

c)

There are three persons in the one true and living God: the Father, the Son, and the Holy Spirit. They are the same in substance, equal in power and glory.

d)

God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.

e)

That we are not our own but our souls, both in life and death, to God and to our Savior Jesus Christ.

93.

1.2

Which question matches the answer?

"That we are not our own but belong, body and soul, both in life and death, to God and to our Savior Jesus Christ."

a)

What is our only hope in life and death?

b)

What is God?

c)

How many persons are there in God?

d)

How and why did God create us?

e)

What is our only certainty in life and death?

94.

2.2

Which question matches the answer?

"God is the creator and sustainer of everyone and everything. He is eternal, infinite, and unchangeable in his power and perfection, goodness and glory, wisdom, justice, and truth. Nothing happens except through him and by his will."

a)

What is our only hope in life and death?

b)

What is God?

c)

How many persons are there in God?

d)

How and why did God create us?

e)

What is our only certainty in life and death?

95.

3.2

Which question matches the answer?

There are three persons in the one true and living God: the Father, the Son, and the Holy Spirit. They are the same in substance, equal in power and glory."

a)

What is our only hope in life and death?

b)

What are the three persons in God?

c)

How many persons are there in God?

d)

How and why did God create us?

e)

What is our only certainty in life and death?

96.

4.2

Which question matches the answer?

God created us male and female in his own image to know him, love him, live with him, and glorify him. And it is right that we who were created by God should live to his glory.

a)

What is our only hope in life and death?

b)

What are the three persons in God?

c)

How many persons are there in God?

d)

How and why did God create us?

e)

What is our only certainty in life and death?

97.

1.3

What scripture is this catechism based on?

a)

Romans 14:7–8

b)

John 14:7–8

c)

Matthew 14:7–8

d)

Mark 14:7–8

e)

Luke 14:7–8

98.

2.3

What scripture is this catechism based on?

a)

Psalm 86:8-10,15

b)

Romans 14:7–8

c)

2 Corinthians 13:14

d)

Genesis 1:27

e)

Genesis 1:31

99.

3.3

What scripture is this catechism based on?

a)

Psalm 86:8-10,15

b)

2 Corinthians 13:14

c)

Romans 14:7–8


d)

Genesis 1:27


e)

Genesis 1:31


100.

4.3

What scripture is this catechism based on?

a)

Psalm 86:8-10,15

b)

2 Corinthians 13:14

c)

Romans 14:7–8


d)

Genesis 1:27


e)

Genesis 1:31