Objective The student will be able to:

ObjectiveThe 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

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 = 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

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

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

Answer Now 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

Objective The student will be able to: