Which property of equality is shown below? If:u = t − –27 Then:u − –98 = t − –27 − –98 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: u = t − (−27) Then: u − (−98) = t − (−27) − (−98) Identify the operation performed on both sides of the equation.Determine Property Used: Determine the property of equality used. The operation of subtracting (−98) is applied to both sides of the original equation. u − (−98) = t − (−27) − (−98) This operation is equivalent to adding 98 to both sides because subtracting a negative number is the same as adding the positive counterpart.Match Operation to Property: Match the operation to the correct property of equality. Since we are effectively adding 98 to both sides of the equation, the property of equality used here is the Addition Property of Equality.

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Which property of equality is shown below? $\newline$ If: $u = t - (-27)$ $\newline$ Then: $u - (-98) = t - (-27) - (-98)$ $\newline$ 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:

u = t - (-27)

\newline

Then:

u - (-98) = t - (-27) - (-98)

\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: $u = t - (-27)$ $\newline$ Then: $u - (-98) = t - (-27) - (-98)$ $\newline$ Identify the operation performed on both sides of the equation.
Determine Property Used: Determine the property of equality used. $\newline$ The operation of subtracting $−98$ is applied to both sides of the original equation. $\newline$ $u − (−98) = t − (−27) − (−98)$ $\newline$ This operation is equivalent to adding $98$ to both sides because subtracting a negative number is the same as adding the positive counterpart.
Match Operation to Property: Match the operation to the correct property of equality. $\newline$ Since we are effectively adding $98$ to both sides of the equation, the property of equality used here is the Addition Property of Equality.