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
Division Property of Equality
Division Property of Equality
Multiplication Property of Equality
Multiplication Property of Equality
Subtraction Property of Equality
Subtraction Property of Equality
Addition Property of Equality
3z2−5=10
3z2−5+5=10+5
3z2=15
(1 point)
Responses
Division Property of Equality
Division Property of Equality
Multiplication Property of Equality
Multiplication Property of Equality
Subtraction Property of Equality
Subtraction Property of Equality
Addition Property of Equality
Answers
GPT-4o mini
The 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 amount to both sides of an equation, the two sides remain equal. In this case, adding 5 to both sides allows you to isolate the term involving \( z^2 \).
This property states that if you add the same amount to both sides of an equation, the two sides remain equal. In this case, adding 5 to both sides allows you to isolate the term involving \( z^2 \).