Question

Which property of equality justifies the step for solving the equation that is displayed?

3z2−5=10


3z2−5+5=10+5


3z2=15


(1 point)
Responses

Addition Property of Equality
Addition Property of Equality

Division Property of Equality
Division Property of Equality

Subtraction Property of Equality
Subtraction Property of Equality

Multiplication Property of Equality

Answer 1

The step that changes \( 3z^2 - 5 = 10 \) to \( 3z^2 - 5 + 5 = 10 + 5 \) is justified by the **Addition Property of Equality**. This property states that if you add the same value to both sides of an equation, the equation remains balanced.

So the correct response is:

**Addition Property of Equality**.