Show:
Add./Subtr./Mult./Div.
Refl./Symm./Trans./Subst.
Comm./Assoc./Inverse/Ident.
Distributive
Potluck
100

x - 12 = 18

x - 12 + 12 = 18 + 12

Addition Property

100

 4y = 28 and 28 = 4y

Symmetric Property

100

(14 + 2y) + (- 8) = -8 + (14 + 2y)

Commutative Property (of addition)

100

Complete the example...

8(2 + 3) = ?

8(2) + 8(3)

-OR-

16 + 24

100

What property is being illustrated below?

45 + 3x - 2 = 45 + 3x - 2

Reflexive Property

200

4 + y = 3x

(4+y)/3 = 3x/3

Division Property

200

If x = 5 and 5 = 3y, then x = 3y

Transitive Property

200

2/3 (3/2) = 1

Inverse Property of Multiplication

200

Complete the example...

-3( x + y) = ?

-3x + -3y 

-OR-

-3x - 3y

200

What property is being illustrated below?

 4 + (x + 7) = (4 + x) + 7

Associative Property

300

19 = 2x/9

9(19) = (2x/9)9

Multiplication Property

300

18 + 5x = 18 + 5x

Reflexive

300

(12 x 4) x 8y = 12 x (4 x 8y)

Associative Property of Multiplication

300

Complete the example...

(5+2)3 = ?

(5)3 + (2)3 

-OR-

3(5) + 3(2)

-OR-

15 + 6

300

What property is being illustrated below?

34 = 3x and 3x = 4y, so 34 = 4y

Transitive Property

400

a + b = c + d

(a + b) - 5 = (c + d) - 5

Subtraction Property

400

If 3y = 22 and y = 4, then 3(4)= 22

Substitution Property

400

132 + 0 - 8y = 132 - 8y

Identity Property of Addition

400

-4x(1 + 5)= ?

-4x(1) + -4x(5)

-OR-

-4x + -20x

400

What property is being illustrated below?

45 + x = 13

45 + x - 45 = 13 - 45

Subtraction Property

500

To show the addition property of equality, what could be written to finish this example?

      3y - 8 = 22

3y - 8 + 8 = ?

22 + 8

500

To show the transitive property of equality, what could be written to finish this example?

If 4x = 9 and 9 = 12, then ?

4x = 12

500

8(1) = 8

Multiplicative Identity Property

500

Create your own example of the distributive property

Answers will vary  - Mrs. Clark will approve

500

What property is being illustrated below?

x = 18 and 18 = x

Symmetric Property