Properties from Algebra Geometry Chapter 02 A BowerPoint Presentation

Addition Property (Add Prop) If a = b Then a + c = b + c (If x – 8 = 12, then x = 20)

Subtraction Property (Subtract Prop) If a = b Then a - c = b - c (If x + 3 = 7, then x = 4)

Multiplication Property (Mult Prop) If a = b Then a c = b c (If x = 6, then x = 30) 5

Division Property (Division Prop) If a = b (and c = 0) Then a = b c c (If 8x = 40, then x = 5)

Reflexive Property a = a

Symmetric Property If a = b Then b = a

Transitive Property If a = b AND b = c Then a = c (If GH = MN & MN = XY, then GH = XY)

Substitution If a + b = c AND a = x Then x + b = c (You can plug = stuff in)

Distributive Property If a(b + c) Then a b + a c [If 3(4x + 8), then 12x + 24]