Which property of equality is shown below? If:q = –39 − p Then:q/–37 = –39 − p/–37 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Expressions: Analyze the given expressions. We have the original equation: q = –39 − p And the transformed equation: q/–37 = –39/–37 − p/–37 Identify the operation performed on both sides of the original equation.Identify Operation: Determine the property of equality used. The operation of dividing both sides of the equation by -37 is observed. q = –39 − p Divide by -37 on both sides. q/–37 = –39/–37 − p/–37Determine Property: Match the operation to the correct property of equality. Since division is applied to both sides of the equation, the property of equality used is the ＂Division Property of Equality.＂

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Which property of equality is shown below? $\newline$ If: $q = -39 - p$ $\newline$ Then: $\frac{q}{-37} = \frac{-39 - p}{-37}$ $\newline$ 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:

q = -39 - p

\newline

Then:

\frac{q}{-37} = \frac{-39 - p}{-37}

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Expressions: Analyze the given expressions. $\newline$ We have the original equation: $q = -39 - p$ $\newline$ And the transformed equation: $\frac{q}{-37} = \frac{-39}{-37} - \frac{p}{-37}$ $\newline$ Identify the operation performed on both sides of the original equation.
Identify Operation: Determine the property of equality used. $\newline$ The operation of dividing both sides of the equation by $-37$ is observed. $\newline$ $q = -39 - p$ $\newline$ Divide by $-37$ on both sides. $\newline$ $\frac{q}{-37} = \frac{-39}{-37} - \frac{p}{-37}$
Determine Property: Match the operation to the correct property of equality. $\newline$ Since division is applied to both sides of the equation, the property of equality used is the ＂Division Property of Equality.＂