Which property of equality is shown below? If:–84 = pq Then:–84/r = pq/r Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Identify Operation: Identify the operation applied to both sides of the equation. Given: –84 = pq Operation: Divide both sides by r. –84/r = pq/rApply Operation: Determine which property of equality corresponds to the operation performed. Since we are dividing both sides of the equation by the same non-zero number r, we are using the ＂Division Property of Equality.＂

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Which property of equality is shown below? $\newline$ If: $-84 = pq$ $\newline$ Then: $\frac{-84}{r} = \frac{pq}{r}$ $\newline$ 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

Full solution

Q. Which property of equality is shown below?

\newline

If:

-84 = pq

\newline

Then:

\frac{-84}{r} = \frac{pq}{r}

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Identify Operation: Identify the operation applied to both sides of the equation. $\newline$ Given: $-84 = pq$ $\newline$ Operation: Divide both sides by $r$ . $\newline$ $-\frac{84}{r} = \frac{pq}{r}$
Apply Operation: Determine which property of equality corresponds to the operation performed. $\newline$ Since we are dividing both sides of the equation by the same non-zero number $r$ , we are using the ＂Division Property of Equality.＂