Objective%20The%20student%20will%20be%20able%20to:

1
ObjectiveThe 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
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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)

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

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Properties of Equality

• Reflexive a a
• 5 5
• 2) Symmetric If a b then b a.
• If 4 2 2 then 2 2 4.

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Properties of Equality

• TransitiveIf 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

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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
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• 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
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Name the property.0 4 4

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

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Name the property.8 (6 2) 8 - 8

1. Additive Identity
2. Additive Inverse
3. Associative
4. Substitution

12
Name the property.2 (x 3)1 2 (x 3)

1. Reflexive
2. Multiplicative Inverse
3. Multiplicative Identity
4. Symmetric