Question

select the correct answer. molly rewrote the equation as shown: \\(-5d + 11 = 8 - 3d\\) \\(-5d + 11 + 3d = 8 - 3d + 3d\\) which property did she use to rewrite the equation? \\(\bigcirc\\) addition property of equality \\(\bigcirc\\) distributive property \\(\bigcirc\\) multiplication property of equality \\(\bigcirc\\) substitution property

Explanation:

The addition property of equality states that if we add the same quantity to both sides of an equation, the equation remains true. In the given problem, Molly added \(3d\) to both sides of the equation \(-5d + 11=8 - 3d\) to get \(-5d + 11+ 3d=8 - 3d+ 3d\). The distributive property involves multiplying a term over a sum/difference, the multiplication property of equality involves multiplying both sides by a quantity, and the substitution property is about replacing a variable with its value. So the property used is the addition property of equality.

Answer:

A. addition property of equality