Adding

1
Adding Subtracting Rational Numbers
Multiplying Dividing Rational Numbers
Set Theory 1
Set Theory 2
Wild Card
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1.625 or
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-2
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Identify the set using a roster

• Let A integers
• Let B whole numbers.

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0,1,2,3,4,5,
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Use the Venn Diagram below to identify the set,
using a roster.
A
C
10
9
6
4
2
3
5
7
B
12
1
25
4, 6, 10
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Draw a Venn Diagram and answer the questions.

• Of the 160 students in the senior class, 55 take
  AP French, 90 take AP History, and 25 take both
  subjects.
• How many students take only AP French?
• How many students take neither subject?

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30 students take only AP French40 students do
not take either subject
AP History
AP French
65
30
25
40
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Let A natural numbers less than 15Let B
even integers between 4 and 14Let C whole
numbers less than 10

• Based on the given information, is the set
• infinite, finite, or cannot be determined?

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Finite

• The set would be
• 1,2,3,4,5,6,7,8,9,10,12

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Draw a Venn Diagram AND answer the
question.Suppose that I have a bag of marbles.
I have 6 red marbles, 12 marbles with polka dots,
and 15 marbles with stripes. Only one of the
marbles is red, polka dotted, and striped. Two
are red and polka dotted, but not striped. Two
are red and striped, but not polka dotted. If
there are a total of 24 marbles in my bag, and
all the marbles have at least one of these
characteristics, how many marbles are polka
dotted and striped, but not red?
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Red
Polka Dots
6
2
1
1
2
3
9
Striped

• Three marbles are polka dotted and striped, but
  not red.

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Use the appropriate symbol to complete the
following statement

• irrational numbers

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Pi is an element of the set of irrational numbers.
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Suppose we were discussing the set of whole
numbers. Could we describe their universal set
as the set of integers?Explain your answer.
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Yes, the universal set is the set to which all
objects in a discussion belong. Because all
whole numbers are integers, we could describe the
universal set of whole numbers as integers.
Additionally, we could describe their universal
set as rational or real!
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• True or False
• The following sets are disjoint.
• Explain your answer!!!

A
B
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False. Disjoint sets have no elements in
common. Set B is a subset of set A, so they have
all the elements in set B in common!!!
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• Write a statement using symbol notation, that
  describes the shaded Venn Diagram below.

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Write a statement using symbol notation that
describes the shaded Venn Diagram.
Q
R
S
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The multiplicative identity is one.

• True or False

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True
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Is the set of all natural numbers closed under
the operation of subtraction? If not, justify
your answer.
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• No.
• Zero is not in the set of natural numbers.

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Simplify
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21

• The distance (4 - 25) is from zero is 21!

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Complete the following usingSome, All, or No

• _________irrational numbers are real numbers.

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All

• Dont forget that all real numbers are either
  rational or irrational!!!

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• Simplify

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