1. Objective The student will be able to:
Recognize and use the properties of identity and equality.
Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School

2. What do you add to get the same?
Identity Properties
1) Additive Identity
What do you add to get the same?
a + 0 = a
2) Multiplicative Identity
What do you mult. to get the same?
a • 1 = a

3. Inverse Properties 1) Additive Inverse (Opposite) a + (-a) = 0
2) Multiplicative Inverse (Reciprocal)

4. Multiplicative Property of Zero
(If you multiply by 0, the answer is 0.)

5. Properties of Equality
Reflexive: a = a
5 = 5
2) Symmetric: If a = b then b = a.
If 4 = then = 4.

6. Properties of Equality
Transitive:If a = b and b = c,
then a = c.
If 4 = and = 3 + 1
then 4 =
4) Substitution: If a = b, then a can be replaced by b.
(5 + 2)x = 7x

7. Name the Property
1. 0  12 = 0
Multiplicative Prop. Of Zero
2. (10 + 2)  3 = 12  3
Substitution
= 5 then 5 = 2 + 3
Symmetric

8. Transitive 5. 6 + (-6) = 0 Additive Inverse
If 5  2 = 10 & 10 = 5 + 5,
then 5  2 = 5 + 5
Transitive
(-6) = 0
Additive Inverse

9. 6. 1  m = m
Multiplicative Identity
7. k + 7 = k + 7
Reflexive
8. x + 0 = x
Additive Identity 9.
Multiplicative Inverse

10. Name the property. 0 + 4 = 4 Additive Identity Additive Inverse
Additive Property of Zero
Substitution
Answer Now

11. Name the property. 8 – (6 + 2) = 8 - 8
Additive Identity
Additive Inverse
Associative
Substitution
Answer Now

12. Name the property. 2 + (x – 3)1 = 2 + (x – 3)
Reflexive
Multiplicative Inverse
Multiplicative Identity
Symmetric
Answer Now