Which property of equality is shown below? If:–82 = 3 − p Then:q + –82 = q + 3 − p 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 original equation: –82 = 3 – p And the modified equation: q + (–82) = q + (3 – p) We need to identify which operation is applied to both sides of the original equation to obtain the modified equation.Identify Operation: Identify the operation used. By comparing the original and modified equations, we can see that 'q' is added to both sides of the original equation. Original: –82 = 3 – p Modified: q + (–82) = q + (3 – p)Determine Property: Determine the property of equality used. Since 'q' is added to both sides of the equation, the property of equality that is being used is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the equality is still maintained.

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Which property of equality is shown below? $\newline$ If: $-82 = 3 - p$ $\newline$ Then: $q + (-82) = q + 3 - p$ $\newline$ 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:

-82 = 3 - p

\newline

Then:

q + (-82) = q + 3 - p

\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 original equation: $-82 = 3 - p$ $\newline$ And the modified equation: $q + (-82) = q + (3 - p)$ $\newline$ We need to identify which operation is applied to both sides of the original equation to obtain the modified equation.
Identify Operation: Identify the operation used. $\newline$ By comparing the original and modified equations, we can see that $q$ is added to both sides of the original equation. $\newline$ Original: $–82 = 3 – p$ $\newline$ Modified: $q + (–82) = q + (3 – p)$
Determine Property: Determine the property of equality used. $\newline$ Since ' $q$ ' is added to both sides of the equation, the property of equality that is being used is the Addition Property of Equality. This property states that if you add the same number to both sides of an equation, the equality is still maintained.