Which property of equality is shown below? If:u = 51 + v Then:u − w = 51 + v − 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. We have the initial equation: u = 51 + v And the transformed equation: u - w = 51 + v - w We need to identify which operation is applied to both sides of the initial equation to obtain the transformed equation.Identify Operation: Identify the operation used. By comparing the initial and transformed equations, we can see that 'w' is subtracted from both sides of the initial equation. Initial equation: u = 51 + v Transformed equation: u - w = 51 + v - wDetermine Property: Determine the property of equality. Since we subtracted 'w' 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: $u = 51 + v$ $\newline$ Then: $u - w = 51 + v - w$ $\newline$ 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:

u = 51 + v

\newline

Then:

u - w = 51 + v - 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. $\newline$ We have the initial equation: $u = 51 + v$ $\newline$ And the transformed equation: $u - w = 51 + v - w$ $\newline$ We need to identify which operation is applied to both sides of the initial equation to obtain the transformed equation.
Identify Operation: Identify the operation used. $\newline$ By comparing the initial and transformed equations, we can see that ' $w$ ' is subtracted from both sides of the initial equation. $\newline$ Initial equation: $u = 51 + v$ $\newline$ Transformed equation: $u - w = 51 + v - w$
Determine Property: Determine the property of equality. $\newline$ Since we subtracted ' $w$ ' 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.