Question

The expression 12(x + 4) represents the total cost of CDs Mei bought in April and May at $12 each. Which property is applied to write the equivalent expression 12x + 48?

A- Associative Property of Addition
B- Associative Property of Multiplication
C- Commutative Property of Multiplication
D- Distributive Property

Answer 1

D because you have to distribute the twelve to complete the equation

Answer 2

Option D is correct.

Distributive Property.

Explanation:

The distributive property says that:

`a \cdot (b+c) = a\cdot b + a\cdot c`

Given the expression:

`12(x+4)`

which represents the total cost of CDs Mei bought in April and May at $12 each.

`12(x+4)`

Using distributive property, we have;

`12 \cdot x + 12 \cdot 4`

Simplify:

12x + 48

Therefore, the property which is applied to write the equivalent expression 12x+ 48 is, distributive property