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Distributive Property Mastery

This worksheet helps grade 8 students master the distributive property of multiplication through various exercises including multiple choice, fill-in-the-blanks, and short answer questions.

Grade 8 Math MultiplicationProperties of MultiplicationDistributive Property of Multiplication
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Includes

Multiple ChoiceFill in the Blanks2 Short AnswerTrue / False

Standards

CCSS.MATH.CONTENT.8.EE.B.7

Topics

mathgrade 8distributive propertyalgebramultiplication
7 sections · Free to use · Printable
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Distributive Property Mastery

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Read each question carefully and answer to the best of your ability. Show all your work for short answer questions.

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

a

3x + 5

b

3x + 15

c

x + 15

d

8x

2. Apply the distributive property to 4(2y - 7).

a

8y - 7

b

42y - 28

c

8y - 28

d

4(2y) + 7

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

4. To simplify -2(4x - 3), you multiply -2 by 4x to get  , and -2 by -3 to get  .

5. Explain in your own words what the distributive property means.

6. The expression 5(x + y) is equivalent to 5x + y.

T

True

F

False

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

T

True

F

False

Simplify the following expressions using the distributive property:

8. 6(2a + 3b)

9. -5(m - 4n)

10. (x + 7) * 9