1. Objective The student will be able to: recognize and use the properties of identity and equality. SOL: A.4b Designed by Skip Tyler, Varina High School and Nicole Kessinger, Deep Run High School

2. 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 a 0 = 0 (If you multiply by 0, the answer is 0.)

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

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

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

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

9. Name the property. 0 + 4 = 4 1.Additive Identity 2.Additive Inverse 3.Additive Property of Zero 4.Substitution Answer Now

10. Name the property. 8 – (6 + 2) = 8 - 8 1.Additive Identity 2.Additive Inverse 3.Associative 4.Substitution Answer Now

11. Name the property. 2 + (x – 3)1 = 2 + (x – 3) 1.Reflexive 2.Multiplicative Inverse 3.Multiplicative Identity 4.Symmetric Answer Now