Question

Which property is being used in the equation 5(x + 3) = 5x + 15?

A) Distributive property
B) Commutative property
C) Associative property
D) Reflexive property

Answer 1

A

Step-by-step explanation:

the distributive property is

• a(b + c) = ab + ac

That is each term in the parenthesis is multiplied by the value outside the parenthesis.

5(x + 3)

= 5(x) + 5(3)

= 5x + 15

Answer 2

The equation 5(x + 3) = 5x + 15 uses the distributive property. It demonstrates multiplying a number by a sum by distributing the number across each addend within the parenthesis. correct option is A.

Step-by-step explanation:

Distributive Property in Equations

The equation 5(x + 3) = 5x + 15 demonstrates the distributive property. This property states that when a number is multiplied by a sum, it is equivalent to multiplying each addend within the parenthesis by that number and then adding the products. In this equation, the number 5 is distributed across the terms inside the parenthesis (x and 3), yielding 5x + 15. Therefore, the property used is c. Distributive property.

Let's break down the steps for clarity:

1. Multiply 5 by the first term in the parenthesis, x, which gives us 5x.
2. Multiply 5 by the second term in the parenthesis, 3, which gives us 15.
3. Add the products together, resulting in 5x + 15.

Every linear equation can generally be manipulated using the distributive property, provided it contains parenthesis that include terms to be multiplied by an outside factor.