Free Printable Distributive Property

Worksheets

Distributive Property

Total questions: 55

Worksheet time: 1hrs 27mins

Name

Class

Date

Which expression is used to find the total area of the figure shown?

9 (10 + 7)

9 x 10 + 7

(10 x 7) x 9

9 x 10 x 7

Rewrite using distributive property and GCF.
24 + 30

6(4+5)

8(3+4)

6(4) + 6(2)

6x2+5

Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?

2(18 + 21)

3(12 + 14)

6(6 + 42)

6(6 + 7)

The equation is shown. What FACTOR is missing form the equation?
30 + 12 = __(5 + 2)

Rewrite the sum of the numbers as the product of their GCF and another sum. 36 + 45 = ?

6(6 + 9)

3(12+15)

9(4 + 5)

Find the missing number using the distributive property.
10 + 20 = 2(5 + __)

Rewrite using distributive property and GCF.
16 + 24

2(8+12)

3(5+8)

4(4+6)

8(2+3)

Which expression uses the greatest common factor and distributive property to express
54 + 90?

9 ( 6 + 10 )

9 ( 6 + 90 )

30 ( 24 + 60 )

18 ( 3 + 5 )

Which expression is equivalent to 36 + 42 ?
Using the Greatest Common Factor (GCF)?

2(18 + 21)

3(12 + 14)

6(6 + 42)

6(6 + 7)

10.

What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9 x (2 + 10)

identity

associative

commutative

distributive

11.

There are 6 groups of kids with 3 boys and 2 girls in each of the groups. Which expression represents this situation?

6 x 3 + 2

(6 x 3) x 2

(6 + 3) x (6 + 2)

6 (3 + 2)

12.

Mr. Boughton gave each of his three children a $20 bill and a $100 for their birthdays (all of which are in March). Which expression represents the total amount he gave?

3 x 20 + 100

(3 + 20) x (3 + 100)

(3 x 20) + (3 x 100)

3 + 20 + 100

13.

Which of the following is equivalent to 4(2x - 3)

-4x

8x - 3

8x - 12

-4

14.

Which of the following is equivalent to 5(2x + 6)?

10x + 30

10x + 6

40x

2x + 30

15.

Which expression is equivalent to 3(3x +1)?

9x +3

3x + 3

12x

9x + 1

16.

What is the value of the expression (3 x 4) + (7 x 4)?

17.

What is the value of the expression (5 x 2) + (12 x 2)?

18.

Which expression is equivalent to 2(5 + 4)?

(2 + 5) + (2 + 4)

(2 + 5) x (2 + 4)

(2 x 5) + (2 x 4)

19.

Which expression is equivalent to 5(2 + 8)?

(5 x 2) + (5 x 8)

(5 x 2) x (5 x 8)

(5 + 2) + (5 + 8)

(5 + 2) x (5 + 8)

20.

Which expression is equivalent to 10(9 + 3)?

(10 x 9) x (10 x 3)

(10 x 9) + (10 x 3)

(9 x 3) + (10 x 10)

(10 + 9) + (10 + 3)

21.

Which expression is equivalent to 3(3 + 5)?

(3 + 3) + (3 + 5)

(3 + 3) x (3 + 5)

(3 x 3) + (3 x 5)

(3 x 3) x (3 x 5)

22.

Which expression is equivalent to 7(4 + 6)?

(7 + 4) + (7 + 6)

(7 + 4) x (7 + 6)

(7 x 4) + (7 x 6)

(7 x 4) x (7 x 6)

23.

Which expression below is equivalent to 2(40 + 3)?

(2 x 40) + (2 x 3)

(2 x 90) + (2 x 4)

(8 x 20) + (8 x 4)

(8 x 40) + (8 x 9)

24.

Which expression below is equivalent to 8(40 + 9)?

(2 x 40) + (2 x 3)

(2 x 90) + (2 x 4)

(8 x 20) + (8 x 4)

(8 x 40) + (8 x 9)

25.

Which expression below is equivalent to this expression

8(20 + 4)?

(2 x 40) + (2 x 3)

(2 x 90) + (2 x 4)

(8 x 20) + (8 x 4)

(8 x 40) + (8 x 9)

26.

Which expression below is equivalent to this expression

2(90 + 4)?

(2 x 40) + (2 x 3)

(2 x 90) + (2 x 4)

(8 x 20) + (8 x 4)

(8 x 40) + (8 x 9)

27.

5(2x+1) = 7x + 6

5 + 2x + 1 = 2x + 6

5(2x + 1) = 10x + 5

5 - 2x- 1 = 10x - 4

28.

Which expression matches the area model?

( 4 x 5) + (3 x 8)

(5 x 4) + (5 x 3)

( 4 x 4) + (6 x 7)

(5 x 6) + (3 x 5)

29.

Which expression matches the area model?

(9 x 2) + (9 X 2)

( 2 x 5) + ( 5 x 3)

(3 x 4) + (5 x 2)

( 9 x 4) + ( 9 x 4)

30.

Which expression matches the area model?

( 4 x 5) + ( 2 x 6)

(3 x 4) + (3 x 4)

(4 x 5) x ( 5 x 4)

(3 x 2) + ( 3 x 7)

31.

Which expression matches the area model?

( 3 x 4) x ( 2 x 5)

( 3 x 5) ( 1 x 1)

( 3 x 2) + ( 3 x 4)

( 3 x 4) x (4 x 5)

32.

Which expression matches the area model?

( 2 x 7) = (6 x 8)

(3 x 8) x (3 x 9)

( 3 x 6) + ( 4 x 6)

(5 x 2) + (5 x 4)

33.

Which expression matches the area model?

( 4 x 3) + (4 x 3)

( 3 x 4) + ( 4 x 3)

( 4 x 2 ) + ( 4 x 5)

34.

Which expression matches the area model?

(5 x 5) + (5 x 4)

(5 x 3) x (3 x 5)

(4 x 7) + ( 4 x 5)

(5 x 6) + (5 x 2)

35.

Which expression matches the area model?

(8 x 4) = (8 x 5)

(8 x 2) x (8 x 2)

(8 x 2) + (8 x 2)

(8 x 3) + (4 x 3)

36.