Home / Worksheets / Grade 7 / Math / Distributive Property Worksheet

Distributive Property Worksheet

Practice applying the distributive property of multiplication with this Grade 7 math worksheet, covering expansion, simplification, and solving equations.

Grade 7 Math MultiplicationProperties of MultiplicationDistributive Property of Multiplication
Use This Worksheet

Includes

Fill in the Blanks2 Short AnswerMultiple ChoiceTrue / False

Standards

CCSS.MATH.CONTENT.7.EE.A.1CCSS.MATH.CONTENT.7.EE.B.3

Topics

mathgrade 7distributive propertyalgebramultiplication
7 sections · Free to use · Printable
← More Math worksheets for Grade 7

Distributive Property Worksheet

Name:

Date:

Score:

Read each question carefully and apply the distributive property to solve or simplify the expressions. Show all your work.

Expand the following expressions using the distributive property:

1. 3(x + 5) =  

2. 6(2y - 4) =  

3. -2(a + 7) =  

4. 5(3 - b) =  

Simplify the following expressions by first using the distributive property, then combining like terms:

5. 4(x + 2) + 3x

6. 2(y - 5) - 3y + 10

7. -5(2a + 1) + 8a

8. Which expression is equivalent to 7(m - 3)?

a

7m - 3

b

m - 21

c

7m - 21

d

7m + 21

9. The area of a rectangle is given by the expression 4(2x + 1). Which of the following represents the expanded form?

a

8x + 1

b

8x + 4

c

6x + 4

d

6x + 1

10. The expression 5(x - 2) is equivalent to 5x - 10.

T

True

F

False

11. When distributing a negative number, the signs of the terms inside the parentheses change.

T

True

F

False

12. A classroom has 4 rows of desks. Each row has (y + 3) desks. Write and simplify an expression for the total number of desks in the classroom.