Question

Name the algebraic property demonstrated in the example below:
4(x + y) = 4x + 4y

Answer 1

Distributive property is the algebraic property demonstrated in the example.

4(x+y) = 4x + 4y

4 is distributed to x and y to have their own products before adding them.

Other Algebraic properties are:
Associative property
Commutative property 
Identity property 
Inverse property

Answer 2

The property demonstrated in the example above is called distributive property.
Hope this helps~