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Distributive Property Practice Worksheet

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Distributive Property Practice Worksheet

Use the distributive property to expand expressions and find their values. Show your work when asked.

Understand the Property

The distributive property lets you multiply a factor by each term inside parentheses: a(b + c) = ab + ac.

1.Which equation correctly expands 4(7 + 2)?

4 × 7 + 2
4 × 7 + 4 × 2
4 + 7 × 2
4 × 7 × 2

2.Select every expression equal to 6(5 + 4).

6 × 5 + 6 × 4
6 × 9
30 + 24
6 + 5 × 4
54

3.Match each expression with its correct expansion.

3(8 + 5)
9(4 + 1)
7(6 + 2)
5(3 + 7)

9 × 4 + 9 × 1
7 × 6 + 7 × 2
3 × 8 + 3 × 5
5 × 3 + 5 × 7

Expand and Calculate

Write each expression as a sum of products, then evaluate it.

4.Expand and evaluate 5(8 + 6).

5.Expand and evaluate 9(3 + 7).

6.Use the distributive property to expand 8(12 + 5), then find its value.

7.Find the value of 4(9 + 11) in two ways: add inside the parentheses first, and then use the distributive property. Show both calculations.

8.A rectangle is divided into two smaller rectangles. Each has a height of 4 units; their widths are x units and 3 units. Write the total area in expanded form. Then state the expression represented by the entire rectangle.

Use It in Context

9.Amara puts 7 blue beads and 5 white beads into each bracelet-making kit. She prepares 8 kits. Write a distributive-property expression and calculate the total number of beads.

10.A school club packs 6 snack bags. Each bag contains 4 crackers and 3 pretzels. Use the distributive property to find how many snacks are packed altogether.

11.Explain why 5(10 + 2) and 5 × 10 + 5 × 2 have the same value. Include the value of each expression.