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

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

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

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

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

Properties of Equality 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

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

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

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

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

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

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