Objective The student will be able to recognize

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

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

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 = 7 x

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

4. 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 1. Additive Identity 2. Additive Inverse 3. Additive Property of Zero 4. Substitution Answer Now

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

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