wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

Commutative, Associative, and Identity Properties

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

Which property is represented below
6+5+7=5+7+6

a)

Commutative

b)

Associative

c)

Identity

2.

Which property is represented below?
15(1) = 15

a)

Identity

b)

Commutative

c)

Associative

d)

Inverse

3.

Which property is represented below?
a+(b+6) = (a+b)+6

a)

Identity

b)

Commutative

c)

Associative

4.

Which property is represented by the expression below?
4+0 = 4

a)

Identity 

b)

Inverse

c)

Commutative

d)

Associative

5.

Identify the property shown.

a)

Commutative

b)

Associative

c)

Distributive

d)

None

6.

Identify the property shown.

a)

Commutative

b)

Associative

c)

Distributive

d)

None

7.

what algebraic property is true for the statement 4+(2+x)=(4+2)+x4+\left(2+x\right)=\left(4+2\right)+x  ?

a)

Associative

b)

Commutative

c)

Identity

d)

Distributive

8.

Identify the property shown.

a)

Commutative

b)

Associative

c)

Distributive

d)

None

9.

Match each property to the example that shows it.

a)

4b+3 = 3+4b

1.

Commutative of Addition

b)

(5+m)+1 = 5+(m+1)

2.

Associative of Addition

c)

6(a+3)=6a+3

3.

Distributive

d)

g+0=g

4.

Identify of Addition

10.

Simplify each expression using the commutative property. Watch integer rules!


3x + 12b + 2x + b

a)

15x + 3b

b)

5x + 13b

c)

5x + 11b

11.

(5 + 8) + 2 = 2 + (5 + 8)

a)

Communitive Property of Addition

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Distrubutive Property

12.

Change Order

a)

Commutative Prop.

b)

Associative Prop.

c)

Distributive Prop.

d)

Inverse Prop.

13.

16 • 4 = 4 • 16

a)

Zero Property

b)

Commutative Property of Multiplication 

c)

Identity Property of Multiplication

d)

Distributive Property

14.

The Associative Property works with...

a)

Addition only

b)

Subtraction only

c)

Addition and Multiplication only

d)

Division and Subtraction only

15.

150 + 75 = 75 + 150

a)

Associative Property of Addition

b)

Associative Property of Multiplication

c)

Commutative Property of Addition

d)

Commutative Property of Multiplication

16.

3 + 7 + 6 = 7 + 3 + 6

a)

Communitive Property of Addition

b)

Associative Property of Addition

c)

Identity Property of Addition

d)

Distrubutive Property

17.

The commutative property says that if 4x6=24, then

a)

3x8=24

b)

4x5=20

c)

6x4=24

18.

What property allows this statement to be true? 
(A + B) + C = A + ( B + C)

a)

Associative

b)

Commutative

c)

Distributive

d)

Identity

19.

x 2 = 2 x 9

a)

Commutative Property of Multiplication

b)

Associative Property of Multiplication

c)

Multiplicative Inverse Property

d)

Distributive Property

20.

Which of the following best explains the associative property?

a)

The grouping of numbers can change, but the order of the numbers does not

b)

The numbers can change order, but grouping of the numbers does not

c)

The number keeps the same identity