Algebra Properties of Equality
Transitive Property of Equality
If a=b and b=c, then a=c If 3x = 15 and 15 = q, then 3x = q.
Division Property of Equality
If a=b and c=0, then a/c=b/c If 12x = 84, then x = 7
Substitution Property of Equality
If a=b, then a can be substituted for b in any expression or equation. If 2x + y = 5 and x = y, then 2x + x = 5.
Addition Property of Equality
If a=b, then a+c=b+c If 3x - 3=12, then 3x=15
Subtraction Property of Equality
If a=b, then a-c=b-c If 2x + 4=16, then 2x=12
Multiplication Property of Equality
If a=b, then ac=bc If M<A = 15, then 3 M<A = 45
Symmetric Property of Equality
If a=b, then b=a 8 + 7=7 +8
Identity of Addition
a + 0 = a 5 + 0 = 5
Identity of Multiplication
a • 1 = a 5 • 1 = 5
Distributive Property
a(b+c) = ab + ac 2(4x + 6) = 8x + 12
Reflexive Property of Equality
a=a 8=8