Name That Property or Axiom!
Property/Axiom Word Play
Properties, Symbols and Operations
Book Definitions
Can You Solve It?
100

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

100

It is the axiom that sees its reflection in the = sign. 

Reflexive Axiom of Equality

100

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

100

if x=y, then xz=yz

Multiplication Property of Equality

100

n-7

=1n-7n

Multiplication Identity Axiom

200

This Axiom is demonstrated by this equation: (2 x 3) x 4=2 x (3 x 4)

Associative Axiom for Multiplication

200

This is the Axiom with a name that makes you think about always remaining just who you are.

Additive/Multiplicative Identity Axiom

200

With this Axiom, you ad () or [] to an equation, or can change the location of the () or [] and what goes inside them. 

Associative Axiom

200

If x=y and y=z, then x=z

Transitive Axiom of Equality

200

1n-7n

=1n + (-7n)

Definition of Subtraction

300

This Axiom is demonstrated by this equation: 7 +[(-k) + (-3)]=7 +[(-3)+(-k)]

Commutative Axiom for Addition

300

This Axiom relates to when you cut an object in half and both sides are the same. 

Symmetric Axiom of Equality

300

In this Property, when a number is multiplied by a -1 and equals the opposite of that number

Multiplication Property of -1

300

x(y + z)=xy + xz

Distributive Axiom for Multiplication over addition

300

1n + (-7n)

=[1 + (-7)]n

Factoring out Common Factors

400

This Property is demonstrated by the equations:

9x-14=5x+26

4x-14=25

Addition property of equality and combining like terms

400

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

400

Two members of an equation can be reversed without affecting their equality

Symmetric Axiom of Equality

400

x + (-x) = 0

Additive Inverse Axiom

400

[1 + (-7)]n

=-6n

Arithmetic

500

This axiom is represented by the equation: 5y + 0=-26

Additive Identity Axiom

500

It is the property with the name that makes you think about traveling to and from work each day.

Commutative Property

500

Any number x (except for 0) has a reciprocal

Multiplicative Inverse Axiom

500

(x + y) +z= x + (y + z)

Associative Axiom for addition

500

How many kids do I have and what are their names?

Depends on Teacher

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