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15 Cards in this Set

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Properties
Statements that are true for every number.
Communitive Property
of Addition
For Any Numbers A and B:
A+B = B+A

Example: 3+4 = 4+3
Communitive Property
of Multiplication
For Any Numbers A and B:
AxB = BxA

Example: 5x6 = 6x5
Associative Property
of Addition
For Any Numbers A,B,and C:
(A+B)+C = A+(B+C)

Example: (2+3)+4 = 2+(3+4)
Associative Property of Multiplication
For Any Numbers A,B and C:
(AxB) x C = A x(BxC)

Example: (2x4)x6 = 2x(4x6)
Additive Identity
For Any Number A:
A+0=0+A=A

Example: 5+0=0+5=5
Multiplicative Identity
For Any Number A:
Ax1=1xA=A

Example: 8x1=1x8=8
Multiplicative Property
For Any Number A:
Ax0=0xA=0

3x0=0x3=0
Equation
Mathematical Sentence with an Equal(=) Sign

Example: 7+5=12
Open Sentence
Equation That Has Variables,
Not True or False Until Proven.
Example: x + 7 =19
Solve for x: x = 12
Solution
The Value That Makes a Statement True.

Example: 12-M=8
Solve: 2,4,7 M=4
Properties of Equalities
The Symmetric Property
and
The Transitive Property
are Properties of Equality
Symmetric Property
For any numbers A and B:
If A=B, then B=A
Example:
5=x+2 which equals x+2=5
Transitive Property
For Any Numbers A, B and C:
If A=B and B=C, then A=C
Example:
2+3=5 and 5=1+4, then 2+3=1+4
Variable: Place holder for any value symbol.
Algebraic Expression: Combo of numbers, variables and operations.
Rule # 1:
For All Numbers A and B, if A=B,then A may be replaced by B.