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# Properties-Equality

### Properties of Equality for Real Numbers

Reflexive Property a=a
Symmetric Property If a=b, then b=a
Transitive Property If a=b and b=c, then a=c
Addition Property If a=b, then a+c = b+c
Subtraction Property If a=b, then a-c = b-c
Multiplication Property If a=b, then a*c = b*c
Divison Property If a=b and c does not = 0, then a/c = b/c
Substitution Property If a/b=c and a=1, then 1/b=c
Distributive Property a(b+c)=ab+ac
3(x + 4) = 3x + 12
If 2x + 5 = y and x = 4, then y= 13
If 2/3 x = 4, then 2x = 12
If 2x = 12, then x = 6
If 2x = 4y, and 4y = z, then 2x = z
If x + 2 = 10, then x = 8
If 3y - 5 = 7, then 3y = 12
If 4xy = 2ab, then 2ab = 4xy
27x = 27x
Created by: strawberrymonkey