Which property of equality is shown below? If:–87 = v − 31 Then:–87 − w = v − 31 − w 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. The original equation is –87 = v – 31. Then, a new equation is formed by subtracting w from both sides: –87 – w = v – 31 – w. Which operation is used on both sides? Subtraction is used because w is subtracted from both sides of the original equation.Identify Property: Identify the property of equality used. By subtracting w from both sides, the equation remains balanced. This action demonstrates the Subtraction Property of Equality, which 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: $-87 = v - 31$ $\newline$ Then: $-87 - w = v - 31 - w$ $\newline$ 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:

-87 = v - 31

\newline

Then:

-87 - w = v - 31 - w

\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. $\newline$ The original equation is $-87 = v - 31$ . Then, a new equation is formed by subtracting $w$ from both sides: $-87 - w = v - 31 - w$ . $\newline$ Which operation is used on both sides? $\newline$ Subtraction is used because $w$ is subtracted from both sides of the original equation.
Identify Property: Identify the property of equality used. $\newline$ By subtracting $w$ from both sides, the equation remains balanced. This action demonstrates the Subtraction Property of Equality, which states that if you subtract the same number from both sides of an equation, the two sides remain equal.