Which property of equality is shown below? If:p = 54 − –14 Then:p − q = 54 − –14 − q 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 performed on both sides of the original equation. Original equation: p = 54 - (-14) Operation performed: Subtracting q from both sides. p - q = 54 - (-14) - qCorresponding Property: Determine which property of equality corresponds to the operation performed. Subtracting q from both sides of the equation is an application of 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: $p = 54 - (-14)$ $\newline$ Then: $p - q = 54 - (-14) - q$ $\newline$ 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:

p = 54 - (-14)

\newline

Then:

p - q = 54 - (-14) - q

\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 performed on both sides of the original equation. $\newline$ Original equation: $p = 54 - (-14)$ $\newline$ Operation performed: Subtracting $q$ from both sides. $\newline$ $p - q = 54 - (-14) - q$
Corresponding Property: Determine which property of equality corresponds to the operation performed. $\newline$ Subtracting $q$ from both sides of the equation is an application of 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.