It is the Axiom that is demonstrated by these equations: 5(3+5)=5(3)+5(5)=15+25=40
Distributive Axiom for Multiplication over Addition
It is the axiom that sees its reflection in the = sign.
Reflexive Axiom of Equality
With this Axiom you use the number 0 with the plus (=) and minus (-) symbols, and you use the number 1 with the times (x) and divide symbols.
Identity Axiom
if x=y, then xz=yz
Multiplication Property of Equality
n-7
=1n-7n
Multiplication Identity Axiom
This Axiom is demonstrated by this equation: (2 x 3) x 4=2 x (3 x 4)
Associative Axiom for Multiplication
This is the Axiom with a name that makes you think about always remaining just who you are.
Additive/Multiplicative Identity Axiom
With this Axiom, you ad () or [] to an equation, or can change the location of the () or [] and what goes inside them.
Associative Axiom
If x=y and y=z, then x=z
Transitive Axiom of Equality
1n-7n
=1n + (-7n)
Definition of Subtraction
This Axiom is demonstrated by this equation: 7 +[(-k) + (-3)]=7 +[(-3)+(-k)]
Commutative Axiom for Addition
This Axiom relates to when you cut an object in half and both sides are the same.
Symmetric Axiom of Equality
In this Property, when a number is multiplied by a -1 and equals the opposite of that number
Multiplication Property of -1
x(y + z)=xy + xz
Distributive Axiom for Multiplication over addition
1n + (-7n)
=[1 + (-7)]n
Factoring out Common Factors
This Property is demonstrated by the equations:
9x-14=5x+26
4x-14=25
Addition property of equality and combining like terms
It is the axiom with the name that makes you think about the advice your mother gives you to be careful about friend you "hang out" with.
Associative Axiom
Two members of an equation can be reversed without affecting their equality
Symmetric Axiom of Equality
x + (-x) = 0
Additive Inverse Axiom
[1 + (-7)]n
=-6n
Arithmetic
This axiom is represented by the equation: 5y + 0=-26
Additive Identity Axiom
It is the property with the name that makes you think about traveling to and from work each day.
Commutative Property
Any number x (except for 0) has a reciprocal
Multiplicative Inverse Axiom
(x + y) +z= x + (y + z)
Associative Axiom for addition
How many kids do I have and what are their names?
Depends on Teacher