Math Properties and Writing Expressions

Name the Property

100

7 (3 x 15) = (7 x 3) 15

Associative Property of Multiplication

200

8 (5 +3)= 8 (3 + 5 ) 

Commutative Property of Addition

300

7 (4 + 5)= 7(4) + 7(5) 

Distributive Property 

400

2+(13+6)= (2+13)+6

Associative Property of Addition

500

6(20r + 5) = 6(20r) + 6(5)

Distributive Property

Commutative Property

100

Use the commutative property to write an equivalent expression:

2 + 7 

7 + 2

200

Use the commutative property to write an equivalent expression:

12 x 3

3 x 12

300

Which equation shows the commutative property of addition?

a. 8 + 9 = 9 + 8

b. 3(25) = 3(20)+ 3(5)

c. 18x3 = 3x18

d. 7+(3+2)= (7+3)+2

a. 8+9 = 9+8

400

Which equation shows the commutative property of multiplication?

a. 6+2 = 2+6

b. 4+(2+8) = (4+2)+8

c. (12x9 )x2= 12x(9x2) 

d. (3x4) x 10 = (4x3) x 10

d. (3x4) x 10 = (4x3) x 10 

500

Use the commutative property to determine if the equation below is equal or not equal:

13+(5x2) = 13+(2x5) 

Equal

Associative Property

100

Use the associative property to write an equivalent expression: 

(3+7)+4

3+(7+4) 

200

Use the associative property to write an equivalent expression: 

5 (1x4)

(5x1) x4

300

Which equation shows the associative property of addition?

a. (7+9)+2 = 7+(9+2) 

b. 1 + 8 = 2 + 7

c. 7 + 9 = 9 + 7 

d. 1 + 0 = 1 

a. (7+9)+2 = 7+(9+2) 

400

Which equation shows the associative property of multiplication?

a. 8+(2+3)=(8+2)+3

b. 4(2+5)= 4(2)+ 4(5) 

c. (18x3)x7 = 18x(3x7)

d. 5+9 =9+5

c. (18x3)x7= 18x(3x7) 

500

Use the associative property to determine if the equation below is equal or not equal:

(2+3a)+9a____ 2+(3a+9a)

Equal

Distributive Property

100

Use the distributive property to write an equivalent expression: 

5 (3+2) 

5 (3) + 5 (2)

or

15+10

or

25

200

Use the distributive property to write an equivalent expression: 

6 ( 2 + 3 ) 

6(2) + 6(3)

or

12+18

or

30

300

Find the product using the distributive property:

2 (3+5) 

2(3) + 2(5)

6 + 10 = 16

400

Find the product using the distributive property:

9(13-4a) 

9(13)-9(4a)

117-36a

500

Find the product using the distributive property:

2 (2b+8) +4b

2 (2b+8)= 2(2b)+2(8) + 4b

4b + 16 + 4b

8b + 16

Writing Expressions

100

Write this as an expression.

the product of 6 and y

6y

200

Write this as an expression.

8 more than w

w + 8

300

Write this as an expression.

the quotient of 30 and m

30/m

400

Write this as an expression.

4 less than the product of 8 and q

8q - 4

500

Write this as an expression.

13 plus the quotient of x and 10

13 + x/10