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Algebra 1 A Block 20-21 > Unit 1 Deck Vocab/Knowledge - 56 Cards > Flashcards

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
Q

What is the main idea of the reflexive property?

A

A value always equals itself

26
Q

a = a is an example of what property?

A

Reflexive

27
Q

What is the main idea of the symmetric property?

A

If a = b, then b = a

28
Q

If 5x = 30, then 30 = 5x is an example of what property?

A

Symmetric

29
Q

What is the main idea of the transitive property?

A

If a = b, and b = c, then a = c

30
Q

h = k and k =r so h = r is an example of what property?

A

Transitive

31
Q

What is absolute value?

A

The distance from zero on a number line?

32
Q

What is the order of operations?

A

Simplifying an expression in a specific order

33
Q

What is the acronym for order of operations?

A

PEMDAS

34
Q

What does the P in PEMDAS stand for?

A

Parenthesis

35
Q

What does the E in PEMDAS stand for?

A

Exponents

36
Q

What does the MD in PEMDAS stand for?

A

Multiplication and Division from left to right

37
Q

What does the AS in PEMDAS stand for?

A

Addition and Subtraction from left to right

38
Q

What is the first step in 7 + 54 ÷ 3(2)

A

The division of 54 and 3

39
Q

What is an algebraic expression?

A

A mathematical phrase made up of numbers and variables

40
Q

What is the main idea of the substitution property?

A

If a = b then a may be replaced by b in any expression

41
Q

What are the three parts of an expression?

A

Variable terms, Constant terms, and coefficients

42
Q

What are variable terms?

A

Terms WITH a variable

43
Q

What are constant terms?

A

terms WITHOUT a variable

44
Q

What are coefficients?

A

Numbers NEXT to a variable

45
Q

What does Combining Like Terms tell you to do?

A

Combine common variable terms and constant terms

46
Q

What are the 5 main Addition words and/or phrases?

A

Sum, Total, Plus, Increased By, and More Than

47
Q

What are the 5 main Subtraction words and/or phrases?

A

Difference, Minus, Decreased By, Less Than, Subtracted From

48
Q

What are the 5 main Multiplication words and/or phrases?

A

Times, Product, Of, Twice, Double/Triple

49
Q

What are the 5 main Division words and/or phrases?

A

Quotient, Divided By, Half, Third

50
Q

What are the 2 main Parenthesis phrases?

A

“The Sum Of” and The difference Of/Between”

51
Q

What are the 2 Turn Around Phrases?

A

Less Than and Subtracted From

52
Q

What are the four inequality symbols?

A

Less Than, Less Than or Equal To, Greater Than, Greater Than or Equal To

53
Q

To “get rid” of a fraction multiply by the …

A

Reciprocal

54
Q

What is a reciprocal?

A

A fraction flipped

55
Q

When graphing inequalities, the circle used for less than and greater than is …

A

Open

56
Q

When graphing inequalities, the circle used for less than or equal to and greater than or equal to is …

A

Closed

Algebra 1 A Block 20-21 (3 decks)

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