Allday Education

Free Distributive Property Worksheet

Ten expressions to expand with the distributive property, with an answer key on its own page.

Answer key included
Name: Date:
The Distributive Property
1.
9(7x7)9(7x - 7)
2.
8(5x8)-8(5x - 8)
3.
7(1+7x)7(1 + 7x)
4.
5(3+9x)5(-3 + 9x)
5.
2(8+6x)2(-8 + 6x)
6.
9(3+2x)9(3 + 2x)
7.
3(2+8x)3(2 + 8x)
8.
8(2x10)8(2x - 10)
9.
3(7+6x)-3(7 + 6x)
10.
2(2+9x)-2(2 + 9x)
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
The Distributive Property
1.
9(7x7)9(7x - 7)
Answer: 63x6363x - 63
2.
8(5x8)-8(5x - 8)
Answer: 40x+64-40x + 64
3.
7(1+7x)7(1 + 7x)
Answer: 49x+749x + 7
4.
5(3+9x)5(-3 + 9x)
Answer: 45x1545x - 15
5.
2(8+6x)2(-8 + 6x)
Answer: 12x1612x - 16
6.
9(3+2x)9(3 + 2x)
Answer: 18x+2718x + 27
7.
3(2+8x)3(2 + 8x)
Answer: 24x+624x + 6
8.
8(2x10)8(2x - 10)
Answer: 16x8016x - 80
9.
3(7+6x)-3(7 + 6x)
Answer: 18x21-18x - 21
10.
2(2+9x)-2(2 + 9x)
Answer: 18x4-18x - 4
Andy · alldayeverydaymath.com

Scroll to see all 10 problems and the answer key on its own page. Printing includes every page.

About this worksheet

Distributing a factor across parentheses is the gateway to simplifying expressions and solving multi-step equations. These problems mix positive and negative factors so sign errors get caught early — the mistake that follows students all the way into Algebra 2 if it isn't fixed here.

Students shaky on the skill itself? Send them to the free lesson: The Distributive Property — explained step by step.

Want this in multiple choice? Harder numbers? 30 versions?

Built for math teachers. Andy generates custom worksheets across Pre-Algebra, Algebra 1, Geometry, and Algebra 2 with exact answer keys.

Try it for $1