Which property of equality is shown below? If:95 − n = m Then:95 − n − 100 = m − 100 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Equations: Analyze the given equations. If: 95 − n = m Then: 95 − n − 100 = m − 100 We need to identify which operation is applied to both sides of the first equation to obtain the second equation.Identify Operation: Identify the operation used. By comparing the two equations, we can see that 100 is subtracted from both sides of the first equation. 95 − n − 100 = m − 100 This operation is subtraction.Determine Property: Determine the property of equality used. Since we subtracted the same number, 100, from both sides of the equation, we used the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, the two sides remain equal.

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Which property of equality is shown below? $\newline$ If: $95 - n = m$ $\newline$ Then: $95 - n - 100 = m - 100$ $\newline$ 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:

95 - n = m

\newline

Then:

95 - n - 100 = m - 100

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Equations: Analyze the given equations. $\newline$ If: $95 - n = m$ $\newline$ Then: $95 - n - 100 = m - 100$ $\newline$ We need to identify which operation is applied to both sides of the first equation to obtain the second equation.
Identify Operation: Identify the operation used. $\newline$ By comparing the two equations, we can see that $100$ is subtracted from both sides of the first equation. $\newline$ $95 - n - 100 = m - 100$ $\newline$ This operation is subtraction.
Determine Property: Determine the property of equality used. $\newline$ Since we subtracted the same number, $100$ , from both sides of the equation, we used the Subtraction Property of Equality. This property states that if you subtract the same number from both sides of an equation, the two sides remain equal.