Which property of equality is shown below? If:–60 + k = –87 Then:–31 + –60 + k = –31 + –87 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Given Statements: Analyze the given statements. If: –60 + k = –87 Then: –31 + (–60 + k) = (–31) + (–87) Identify the operation performed on both sides of the equation.Identify Operation: Determine the property of equality used. The operation of adding –31 is applied to both sides of the original equation. –60 + k = –87 + (–31) + (–31) ____________________ –31 + (–60 + k) = –31 + (–87) This operation demonstrates the Addition Property of Equality, which states that adding the same number to both sides of an equation does not change the equality.

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Which property of equality is shown below? $\newline$ If: $-60 + k = -87$ $\newline$ Then: $-31 + (-60) + k = -31 + (-87)$ $\newline$ 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:

-60 + k = -87

\newline

Then:

-31 + (-60) + k = -31 + (-87)

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Given Statements: Analyze the given statements. $\newline$ If: $-60 + k = -87$ $\newline$ Then: $-31 + (-60 + k) = (-31) + (-87)$ $\newline$ Identify the operation performed on both sides of the equation.
Identify Operation: Determine the property of equality used. $\newline$ The operation of adding $–31$ is applied to both sides of the original equation. $\newline$ $–60 + k = –87$ $\newline$ $+ (–31) + (–31)$ $\newline$ ____________________ $\newline$ $–31 + (–60 + k) = –31 + (–87)$ $\newline$ This operation demonstrates the Addition Property of Equality, which states that adding the same number to both sides of an equation does not change the equality.