Solving Linear Equations Quick Check

Question

1 of 51 of 5 Items
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

Subtraction Property of Equality
Subtraction Property of Equality

Addition Property of Equality
Addition Property of Equality

Multiplication Property of Equality
Multiplication Property of Equality

Division Property of Equality

Answer 1

The correct property of equality that justifies the step from \( 3z^2 - 5 = 10 \) to \( 3z^2 - 5 + 5 = 10 + 5 \) is the Addition Property of Equality. This property states that if you add the same value to both sides of an equation, the two sides remain equal.

So, the answer is:

Addition Property of Equality.