Writing Sums as Products: The Distributive Property
Write equivalent expressions using the Distributive Property.
2(x + 5)
3(x + 4)
Writing Sums as Products:
The Distributive Property
6(x + 1)
7(x ­ 3)
Write an equivalent expression of the sums as products.
5x + 30
8x + 8
3x ­ 12
Engage New York: Module 3, Lesson 4
15x + 20
What is happening when you "go backwards"?
What are the terms being divided by?
"Go backwards" to write an equivalent expression as a product of
two factors.
8x + 4
Rewrite the expressions as a product of 2 factors:
72t + 8
36z + 72
Would it be incorrect to factor out a 2 instead of a 4?
3r + 3x
144x ‐ 15
1
Writing Sums as Products: The Distributive Property
Write each sum as a product of 2 factors:
Write each sum as a product of 2 factors:
2 3+5 3
(x + y) + (x + y)
x 3+5 3
(2 + 5) + (2 + 5) + (2 + 5)
x 4+y 4
2x + (y + x) + 5y
2