Basic algebraic properties

1. ALGEBRAIC AND GEOMETRIC PROPERTIES
Properties of Equality
 Reflexive Property of Equality
 Symmetric Property of Equality
 Transitive Property of Equality
 Substitution

2. PROPERTIES OF EQUALITY
Reflexive Property
• a + b = a + b
The same expression is written
on both sides of the equal sign.

3. PROPERTIES OF EQUALITY
• If a = b then b = a
• If 4 + 5 = 9 then 9 = 4 + 5
Symmetric Property

4. PROPERTIES OF EQUALITY
Transitive Property
• If a = b and b = c then a = c
• If 3(3) = 9 and 9 = 4 +5,
then 3(3) = 4 + 5

5. ADDITIONAL PROPERTIES OF REAL NUMBERS
Substitution Property
• If a = b, then a can be
replaced by b.
• a(3 + 2) = a(5)

6. NAME THE PROPERTY
• 5(4 + 6) = 20 + 30
• 5(4 + 6) = 5(10)
• 5(4 + 6) = 5(4 + 6)
• If 5(4 + 6) = 5(10) then
5(10) = 5(4 + 6)
• 5(4 + 6) = 5(6 + 4)
• If 5(10) = 5(4 + 6) and
5(4 + 6) = 20 + 30 then
5(10) = 20 + 30
• Distributive
• Substitution
• Reflexive
• Symmetric
• Commutative
• Transitive