Unit 1 Deck Vocab/Knowledge - 56 Cards Flashcards

1
Q

The real number systems consists of …

A

All real numbers

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2
Q

The Symbol for all real number is …

A

A capital R

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3
Q

Irrational numbers are …

A

Decimals that never end and have no repeating pattern

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4
Q

Rational numbers are …

A

All fractions and decimals that end or have a repeated pattern

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5
Q

All real numbers consists of what two main groups?

A

Rational and Irrational Numbers

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6
Q

Rational numbers consists of what subset groups?

A

Integers, Whole Numbers, and Natural Numbers

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7
Q

The symbol for Irrational numbers is …..

A

A capital I

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8
Q

The symbol for Integer numbers is …..

A

A capital Z

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9
Q

The symbol for Rational numbers is …..

A

A capital Q

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10
Q

The symbol for Whole numbers is …..

A

A capital W

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11
Q

The symbol for Natural numbers is …..

A

A capital N

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12
Q

What is the main idea of the communitive property for addition and multiplication?

A

Order of values does not matter!

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13
Q

a + b = b + a is an example of what property?

A

Communative

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14
Q

2 + 3 = 3 + 2 is an example of what property?

A

Communative

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15
Q

What is the main idea of the associative property for addition and multiplication?

A

Grouping of values does not matter!

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16
Q

(a + b) + c = a + (b + c) is an example of what property?

A

Associative

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17
Q

(5 + 1) +3 = 5 + (1 + 3) is an example of what property?

A

Associative

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18
Q

What is the main idea of the identity property for addition and multiplication?

A

Stays the Same!!

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19
Q

a + 0 = a is an example of what property?

A

Identity

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20
Q

What is the main idea of the inverse property for addition and multiplication?

A

Using the opposite to cancel a value

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21
Q

a + (-a) = 0 is an example of what property?

A

Inverse

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22
Q

What is the main idea of the property of zero?

A

Multiplying by 0 always equals 0

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23
Q

What is the main idea of the distributive property?

A

Multiply a value to an expression inside a quantity/parenthesis

24
Q

a(b + c) = ab + ac is an example of what property?

A

Distributive

25
What is the main idea of the reflexive property?
A value always equals itself
26
a = a is an example of what property?
Reflexive
27
What is the main idea of the symmetric property?
If a = b, then b = a
28
If 5x = 30, then 30 = 5x is an example of what property?
Symmetric
29
What is the main idea of the transitive property?
If a = b, and b = c, then a = c
30
h = k and k =r so h = r is an example of what property?
Transitive
31
What is absolute value?
The distance from zero on a number line?
32
What is the order of operations?
Simplifying an expression in a specific order
33
What is the acronym for order of operations?
PEMDAS
34
What does the P in PEMDAS stand for?
Parenthesis
35
What does the E in PEMDAS stand for?
Exponents
36
What does the MD in PEMDAS stand for?
Multiplication and Division from left to right
37
What does the AS in PEMDAS stand for?
Addition and Subtraction from left to right
38
What is the first step in 7 + 54 ÷ 3(2)
The division of 54 and 3
39
What is an algebraic expression?
A mathematical phrase made up of numbers and variables
40
What is the main idea of the substitution property?
If a = b then a may be replaced by b in any expression
41
What are the three parts of an expression?
Variable terms, Constant terms, and coefficients
42
What are variable terms?
Terms WITH a variable
43
What are constant terms?
terms WITHOUT a variable
44
What are coefficients?
Numbers NEXT to a variable
45
What does Combining Like Terms tell you to do?
Combine common variable terms and constant terms
46
What are the 5 main Addition words and/or phrases?
Sum, Total, Plus, Increased By, and More Than
47
What are the 5 main Subtraction words and/or phrases?
Difference, Minus, Decreased By, Less Than, Subtracted From
48
What are the 5 main Multiplication words and/or phrases?
Times, Product, Of, Twice, Double/Triple
49
What are the 5 main Division words and/or phrases?
Quotient, Divided By, Half, Third
50
What are the 2 main Parenthesis phrases?
"The Sum Of" and The difference Of/Between"
51
What are the 2 Turn Around Phrases?
Less Than and Subtracted From
52
What are the four inequality symbols?
Less Than, Less Than or Equal To, Greater Than, Greater Than or Equal To
53
To "get rid" of a fraction multiply by the ...
Reciprocal
54
What is a reciprocal?
A fraction flipped
55
When graphing inequalities, the circle used for less than and greater than is ...
Open
56
When graphing inequalities, the circle used for less than or equal to and greater than or equal to is ...
Closed