Question

Write an equivalent expression for 5(2x + y - 3z) by modeling and using the distributive property.

Answer 1

The answer is 10x + 5y - 15z

Answer 2

`10x + 5y - 15z`

Explanation:

`5(2x + y - 3z)`

To get the equivalent expression we apply distributive property

a(x+b)= ax+ab

Using distributive property we distribute the number inside the parenthesis Distribute 5 inside the parenthesis

5 times 2x becomes 10x

5 times y becomes 5y

5 times -3z becomes -15z

`5(2x + y - 3z)`

`10x + 5y - 15z`