Distributive Property Worksheet

Distributive Property Worksheet

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)?

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

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

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

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.