Algebraic Expressions (Eqquality)

1. MAKE YOUR OWN FLASH
CARDS
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2. GROUP 1 GROUP 2 GROUP 3 GROUP 4
Reflexive
Property
Transitive
Property
Subtraction
Property
Division
Property
Symmetric
Property
Addition
Property
Multiplicatio
n Property
Division
Property
The teacher will group the class into four and each group
will make the assigned flashcards. If the group completed
making the flashcards they will be given a group reward
(Chocolates). All students must participate.

3. PROPERTIES OF EQUALITY
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Let’s Keep Those Equations
Balanced!

4. What are Algebraic Properties of
Equality?
• In mathematics equality is a relationship between two
mathematical expressions, asserting that the quantities
have the same value.
• Algebraic Properties of Equality help us to justify how we
solve equations and inequalities.
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5. 1. Reflexive Property of Equality
a = a c = c
b = b
I am equal to
myself
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6. 2. Symmetric Property of Equality
If a = b, then b = a
ab = ba
If fish = tuna, then tuna = fish 
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7. 3. Transitive Property of Equality
If a = b and b = c, then a = c
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8. 4. Addition Property of Equality
• This property tells us that adding the same
number to each side of an equation gives
us an equivalent equation.
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If a + b = c,
then a + b + b = c + b

9. 5. Subtraction Property of Equality
• This property tells us that subtracting the
same number to each side of an equation
gives us an equivalent equation.
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If a + b = c,
then a + b - b = c - b

10. 6. Multiplication Property of Equality
• This property tells us that multiplying the
same (non-zero) number to each side of
an equation gives us an equivalent
equation.
If a = b,
then a c = b c
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11. 7. Division Property of Equality
• This property tells us that dividing the same
(non-zero) number to each side of an
equation gives us an equivalent equation.
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If a • b = c (and b ≠ 0),
then a • b = c
b b

12. ACTIVITY!!!!!!
DIVIDE YOUR GROUP INTO FOUR.
AND EACH GROUP WILL SHOW
EXAMPLES OF EACH PROPERTY
AND WILL SHOW IT TO THE CLASS.
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GROUP 1
(TEAM-AWA)
GROUP 2
(TEAM- AWID)
GROUP 3
(TEAM-ANG)
GROUP 4
(TEAM-BOG)
Reflexive
Property
Transitive
Property
Subtraction
Property
Division
Property
Symmetric
Property
Addition
Property
Multiplicatio
n Property
Division
Property

14. Image from http://schools.iclipart.com
HAPPY QUIZ !!!!!
I. Tell what property of equality is illustrated in each statement.
____________1. 13 = 13
____________2. If 5 = 2 + 3, then 2 + 3 = 5
____________3. If 6 + 2 = 8 and 8 = 5 + 3, then 6 + 2 = 5 + 3
____________4. If 5 = 9 - 4, then 9 – 4 = 5
____________5. If (3)(5) = 15, then (3)(5) • 4 = 15 • 4.
____________6. If 5 • 6 = 30 and 30 = 3 • 10, then 5 • 6 = 3 • 10
II. Give 2 examples of each property. 14 pts

15. V. ASSIGNMENT:
TO BE PASSED NEXT MEETING. WRITE IT
INA1 WHOLE SHEET OF PAPER.
Question:
If you are about to write a poem or
a song in mathematics. What would be the
title and why?

16. Remember to keep
your equations
balanced…

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