Name that Property
O.O.O.
Alg. Ex.
# Sets
Distributive Prop
100
a+b=b+a

Commutative Property (+)

100

2[4+(6/2)]

14

100

The difference of g and 3

g-3

100

1,2,3,4,5...

Counting Numbers

100

Distribute: 

5(x-8y)

5x-40y

200

-17+17=0

Additive Inverse

200

6-4(6+2)

-26

200

a number g divided by h, minus 6

g/h-6

200

-754, 1, 54, 0

Integers


200

Distribute:

1/2(10x+4y)

5x+2y

300

4/3x3/4=1

Inverse (x)

300

(92-11)/(3+4)x10

1

300

3 less than 3 times a number g

3g-3

300

-2/3

Rational Number

300

Factor:

9y-45z

9(y-5z)

400

9 +(4x3) = 9 + (3x4)

Commutative Property (x)

400

[7+(32-6)]/[(12-23)-(16-2x7)]

5

400

The product of 4a and 3b

12ab

400

π(pi)

Irrational Number

400

Factor:

ad+ax

a(d+x)

500

What is the other name for the 'multiplication by zero' property? 

Zero product property
500

[-3(4-9)]/[35/-7]

-3

500

Twice the sum of 2x and 3y

2(2x+3y)

500

i2

Imaginary Numbers

500

Solve using the distributive property (SHOW ALL STEPS):

9(52)

9(50)+9(2)

450+18

468