Chapter 2 Flashcards
Variable:
Is a symbol, usually a letter used in place of an unknown quantity.
Ex. A=B↔️A=B
Ex. 2x=5=13
Variable expression:
Is a (grammictically correct) combination of #, variables and/or operations.
Ex. No equal sign =
Can’t solve this
Can simplify it
Term:
Are addends in an expression.
The Numeric factor:
In term is called a coefficient.
A constant:
Term is a term without a variable part.
Box Volume:
V=l•w•h or V=b•h
Cylinder volume:
V=π•r®•h
Cone Volume:
V=1/3•b•h
V=1/3•π•rª•h
The commutative properties:
Can we change the order of the number in operation without changing the result?
Commutative properties of Addition & Multiplication:
For all Real #: A+B=B+A, For all Real #: A•B=B•A
Subtraction and Division aren’t Commutative.
The Associate Properties:
Can we change the grouping of the number in the operation without changing the result?
The associative property of Addiction and Multiplication
For all real # A,B&C, For all real # A,B&C
(A+B)+C= A+(B+C), (A+B)+C=A+(B+C)
Subtraction and Division are not Associative.
The Identity Properties:
Is there a neutral # for the operation?
The Additive and Multiplicative Identity
For all real # A, For all real # A,
A+0=A=0+A. A•1=A=1•A
0 is additive identity, 1 is the multiplicative Identity
Subtraction and Division have no Identity.
Inverse Properties:
How do we get back to the operations Identity?
Additive Inverses ( or Operations)
For all real # A&-A are the additive inverses
Because A+(-A)=0=(-A)+A
Multiplicative Inverses( or Reciprocals)
For all real # A(A≠0), A&1/A are multiplicative inverses
Because A•1/A=1=1/A•A
e·val·u·ate
find a numerical expression or equivalent for (an equation, formula, or function)