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13 Cards in this Set

  • Front
  • Back

Reflexive property

a = a

Symmetric Property

If a = b, the b = a

Transitive property

If a = b, and b = c, then a = c

Addition property

If a = b, then a + c = b + c

Multiplication property

If a = b, then ac = bc

Definition of Subtraction

a - b = a + (-b)

Distributive property

a(b + c) = ab + ac


and


(b + c)a = ba + ca

Multiplication property of zero

a(0) = 0


and


0a = 0

Multiplication property of negative one

a(-1) = -a


and


(-1)a = -a

Property of the opposite of a product

-ab = (-a)b


and


-ab = a(-b)

Property of the opposite of a sum

-(a + b) = (-a) + (-b)

Definition of division

a/b = a(1/b)


or


a/b = a(1/b)

Pg. 34 (in the textbook) rule

(a + b)/c = a/c + b/c


and


(a - b)/c = a/c - b/c