Distributive Property Mastery

This worksheet helps 8th-grade students practice and master the distributive property through various exercises including multiple choice, fill-in-the-blanks, true/false, short answer, and matching questions.

Grade 8 Math Arithmetic and Number TheoryDistributive Property

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Includes

Multiple ChoiceFill in the BlanksTrue / False2 Short AnswerMatching

Standards

CCSS.MATH.CONTENT.7.EE.A.1CCSS.MATH.CONTENT.8.EE.B.7

Topics

mathgrade 8distributive propertyalgebraexpressions

8 sections · Free to use · Printable

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Distributive Property Mastery

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Read each question carefully and follow the instructions to demonstrate your understanding of the distributive property.

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

3x + 5

3x + 15

x + 15

2. To apply the distributive property to 4(2y - 7), you multiply 4 by 2y and 4 by .

3. The expression 6(a + b) simplifies to + .

4. The expression 5(x - 3) is equivalent to 5x - 3.

True

False

5. Use the distributive property to simplify the expression -2(4m - 3). Show your work.

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

6. 7(y + 2)

a. 5z - 10

7. 5(z - 2)

b. 9x + 18

8. 3(x + 6)

c. 7y + 14

9. 9(x + 2)

d. 3x + 18

10. A rectangular garden has a length of (3x + 4) feet and a width of 5 feet. Write and simplify an expression for the perimeter of the garden.