Which property of equality is shown below? If:r − q = –56 Then:s(r − q) = s · –56 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 original equation. Original equation: r − q = –56 New equation: s(r − q) = s · –56 The operation applied to both sides is multiplication by 's'.Property of Equality: Determine which property of equality corresponds to the operation identified in the previous step. Since we are multiplying both sides of the equation by 's', the property of equality used here is the Multiplication Property of Equality.

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Which property of equality is shown below? $\newline$ If: $r - q = -56$ $\newline$ Then: $s(r - q) = s \cdot -56$ $\newline$ 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:

r - q = -56

\newline

Then:

s(r - q) = s \cdot -56

\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 original equation. $\newline$ Original equation: $r - q = -56$ $\newline$ New equation: $s(r - q) = s \cdot -56$ $\newline$ The operation applied to both sides is multiplication by ' $s$ '.
Property of Equality: Determine which property of equality corresponds to the operation identified in the previous step. $\newline$ Since we are multiplying both sides of the equation by ' $s$ ', the property of equality used here is the Multiplication Property of Equality.