Algebra 1 Unit 1 Flashcards
The real number systems consists of …
All real numbers
The Symbol for all real number is …
A capital R
Irrational numbers are …
Decimals that never end and have no repeating pattern
Rational numbers are …
All fractions and decimals that end or have a repeated pattern
All real numbers consists of what two main groups?
Rational and Irrational Numbers
Rational numbers consists of what subset groups?
Integers, Whole Numbers, and Natural Numbers
The symbol for Irrational numbers is …..
A capital I
The symbol for Integer numbers is …..
A capital Z
The symbol for Rational numbers is …..
A capital Q
The symbol for Whole numbers is …..
A capital W
The symbol for Natural numbers is …..
A capital N
What is the main idea of the communitive property for addition and multiplication?
Order of values does not matter!
a + b = b + a is an example of what property?
Communative
2 + 3 = 3 + 2 is an example of what property?
Communative
What is the main idea of the associative property for addition and multiplication?
Grouping of values does not matter!
(a + b) + c = a + (b + c) is an example of what property?
Associative
(5 + 1) +3 = 5 + (1 + 3) is an example of what property?
Associative
What is the main idea of the identity property for addition and multiplication?
Stays the Same!!
a + 0 = a is an example of what property?
Identity
What is the main idea of the inverse property for addition and multiplication?
Using the opposite to cancel a value
a + (-a) = 0 is an example of what property?
Inverse
What is the main idea of the property of zero?
Multiplying by 0 always equals 0
What is the main idea of the distributive property?
Multiply a value to an expression inside a quantity/parenthesis
a(b + c) = ab + ac is an example of what property?
Distributive
What is the main idea of the reflexive property?
A value always equals itself
a = a is an example of what property?
Reflexive
What is the main idea of the symmetric property?
If a = b, then b = a
If 5x = 30, then 30 = 5x is an example of what property?
Symmetric
What is the main idea of the transitive property?
If a = b, and b = c, then a = c
h = k and k =r so h = r is an example of what property?
Transitive
What is absolute value?
The distance from zero on a number line?
What is the order of operations?
Simplifying an expression in a specific order
What is the acronym for order of operations?
PEMDAS
What does the P in PEMDAS stand for?
Parenthesis
What does the E in PEMDAS stand for?
Exponents
What does the MD in PEMDAS stand for?
Multiplication and Division from left to right
What does the AS in PEMDAS stand for?
Addition and Subtraction from left to right
What is the first step in 7 + 54 ÷ 3(2)
The division of 54 and 3
What is an algebraic expression?
A mathematical phrase made up of numbers and variables
What is the main idea of the substitution property?
If a = b then a may be replaced by b in any expression
What are the three parts of an expression?
Variable terms, Constant terms, and coefficients
What are variable terms?
Terms WITH a variable
What are constant terms?
terms WITHOUT a variable
What are coefficients?
Numbers NEXT to a variable
What does Combining Like Terms tell you to do?
Combine common variable terms and constant terms
What are the 5 main Addition words and/or phrases?
Sum, Total, Plus, Increased By, and More Than
What are the 5 main Subtraction words and/or phrases?
Difference, Minus, Decreased By, Less Than, Subtracted From
What are the 5 main Multiplication words and/or phrases?
Times, Product, Of, Twice, Double/Triple
What are the 5 main Division words and/or phrases?
Quotient, Divided By, Half, Third
What are the 2 main Parenthesis phrases?
“The Sum Of” and The difference Of/Between”
What are the 2 Turn Around Phrases?
Less Than and Subtracted From
What are the four inequality symbols?
Less Than, Less Than or Equal To, Greater Than, Greater Than or Equal To
To “get rid” of a fraction multiply by the …
Reciprocal
What is a reciprocal?
A fraction flipped
When graphing inequalities, the circle used for less than and greater than is …
Open
When graphing inequalities, the circle used for less than or equal to and greater than or equal to is …
Closed