PROPERTIES
EVALUATING
EXPRESSION
Distributive Property
Linear Expressions
GCF & Factoring
100

5 + 0  = 5

Additive Identity Property

100

 (3 + a)  a = 5 

8

100

4(x + 7)

4x + 28

100

(2a + 10) + (a - 4)

3a + 6

100

Find GCF  12cd and 36cd

12cd

200

2 + 3 = 3 + 2

Commutative Property

200

x + y - 58   x = 9 y = 3

-46

200

(6 + 4)(-12)       

(-12)(6)   +  (-12)(4)  =  -72 + -48 = -120

200

2(x + 3) + 3x + 1

 5x + 7

200

Factor  47y + 9xy

NF

300

5 x 1 = 5

Multiplication Identity Property

300

Y^3 + x^3  y= 2  x = 3

8 + 27 = 35

300

5(2b + 8)

10b + 40  

300

(3x - 2) - (5x - 4)

-2x +2

300

GCF    49c  and 7cd

7c

400

4 + (2 + 3) = (4 + 2) + 3

Associative Property

400

John as 5 less dollars than Mary.  Write an expression to represent how must money John has

x - 5

400

-6a(2b + 5c) 

-12ab -30ac

400

(2x + 4) - (-x + 5)

3x -1

400

Factor 10x - 35

5(2x -7)

500

5 x 0 = 0

Property of zero

500

x^3 + (y/x)        =x = 2  y = 10    

  8 + 5 = 13

500

1/2(c - 8)

 1/2c -4

500

(-8x + 1) - (8x - 1)

-16x +2

500

Factor 18 + 6x + 12

     6(x + 5)