Which property of equality is shown below? If:–78n = 2 Then:–78n − –27 = 2 − –27 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Identify Operation: Identify the operation performed on both sides of the equation. The given equations are: If: –78n = 2 Then: –78n − (–27) = 2 − (–27) We need to determine which operation is applied to both sides of the original equation.Analyze Change: Analyze the change from the original equation to the new equation. The original equation is –78n = 2. In the new equation, (–27) is subtracted from both sides of the original equation. However, subtracting a negative is the same as adding the positive value of that number. Therefore, we are effectively adding 27 to both sides of the equation.Determine Property: Determine the property of equality used. Since we are adding 27 to both sides of the equation, the property of equality that is being used is the Addition Property of Equality.

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Which property of equality is shown below? $\newline$ If: $-78n = 2$ $\newline$ Then: $-78n - (-27) = 2 - (-27)$ $\newline$ Choices: $\newline$ (A) Addition Property of Equality $\newline$ (B) Subtraction Property of Equality $\newline$ (C) Multiplication Property of Equality $\newline$ (D) Division Property of Equality

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Math Problems

Algebra 1

Properties of equality

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Q. Which property of equality is shown below?

\newline

If:

-78n = 2

\newline

Then:

-78n - (-27) = 2 - (-27)

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Identify Operation: Identify the operation performed on both sides of the equation. $\newline$ The given equations are: $\newline$ If: $-78n = 2$ $\newline$ Then: $-78n - (-27) = 2 - (-27)$ $\newline$ We need to determine which operation is applied to both sides of the original equation.
Analyze Change: Analyze the change from the original equation to the new equation. $\newline$ The original equation is $-78n = 2$ . In the new equation, $(-27)$ is subtracted from both sides of the original equation. However, subtracting a negative is the same as adding the positive value of that number. Therefore, we are effectively adding $27$ to both sides of the equation.
Determine Property: Determine the property of equality used. $\newline$ Since we are adding $27$ to both sides of the equation, the property of equality that is being used is the Addition Property of Equality.