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

Distributive Property Worksheet

Practice applying the distributive property with various algebraic expressions and numerical problems.

Grade 7 Math Arithmetic and Number TheoryDistributive Property
Use This Worksheet

Includes

Fill in the BlanksMultiple ChoiceShort AnswerTrue / FalseMatchingLong Answer

Standards

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

Topics

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

Distributive Property Practice

Name:

Date:

Score:

Read each question carefully and apply the distributive property to simplify the expressions or solve the problems.

1. The distributive property states that a(b + c) =   +  .

2. To distribute a number, you   that number by each term inside the parentheses.

3. When applying the distributive property, pay close attention to the   of the numbers.

4. Which expression is equivalent to 3(x + 5)?

a

3x + 5

b

3x + 15

c

8x

d

x + 15

5. Simplify: -2(y - 7)

a

-2y - 14

b

-2y + 14

c

2y - 14

d

2y + 14

6. Simplify the expression: 4(2x + 3)

7. Simplify the expression: -5(a - 6)

8. Simplify the expression: 1/2(4h + 10)

9. The expression 6(x + 2) is equivalent to 6x + 12.

T

True

F

False

10. -3(w - 4) simplifies to -3w - 12.

T

True

F

False

Match each expression on the left with its equivalent simplified expression on the right.

11. 2(3x + 1)

 

a. 10 - 5y

12. -5(y - 2)

 

b. 6x + 2

13. (z + 8)7

 

c. 7z + 56

14. A rectangle has a width of 5 units and a length of (x + 4) units. Write an expression for the perimeter of the rectangle and then simplify it using the distributive property.