Which property of equality is shown below? If:46 − –94 = r Then:46 − –94 − 97 = r − 97 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: 46 − (–94) = r Then: 46 − (–94) − 97 = r − 97 We need to identify which operation is applied to both sides of the equation.Identify Operation Used: Identify the operation used. The operation used is subtraction, as 97 is subtracted from both sides of the equation.Determine Property of Equality: Determine the property of equality. Since the same value (97) is subtracted from both sides of the equation, the property of equality used here is the Subtraction Property of Equality.

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Algebra 1

Properties of equality

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Q. Which property of equality is shown below?

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If:

46 - (-94) = r

\newline

Then:

46 - (-94) - 97 = r - 97

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Choices:

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(A) Addition Property of Equality

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(B) Subtraction Property of Equality

\newline

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(D) Division Property of Equality

Analyze Given Statements: Analyze the given statements. $\newline$ If: $46 - (-94) = r$ $\newline$ Then: $46 - (-94) - 97 = r - 97$ $\newline$ We need to identify which operation is applied to both sides of the equation.
Identify Operation Used: Identify the operation used. $\newline$ The operation used is subtraction, as $97$ is subtracted from both sides of the equation.
Determine Property of Equality: Determine the property of equality. $\newline$ Since the same value ( $97$ ) is subtracted from both sides of the equation, the property of equality used here is the Subtraction Property of Equality.