Which property of equality is shown below? If:85 = –36 + c Then:60 + 85 = 60 + –36 + c 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: 85 = –36 + c And the modified equation: 60 + 85 = 60 + (–36 + c) Identify the operation performed on both sides of the original equation.Identify Operation: Identify the operation. The operation performed is the addition of 60 to both sides of the original equation. 85 = –36 + c +60 +60 ---------------- 60 + 85 = 60 + (–36 + c)Determine Property: Determine the property of equality used. Since we added the same number (60) to both sides of the equation, the property of equality used here is the Addition Property of Equality.

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Which property of equality is shown below? $\newline$ If: $85 = -36 + c$ $\newline$ Then: $60 + 85 = 60 + -36 + c$ $\newline$ 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:

85 = -36 + c

\newline

Then:

60 + 85 = 60 + -36 + c

\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: $85 = -36 + c$ $\newline$ And the modified equation: $60 + 85 = 60 + (-36 + c)$ $\newline$ Identify the operation performed on both sides of the original equation.
Identify Operation: Identify the operation. $\newline$ The operation performed is the addition of $60$ to both sides of the original equation. $\newline$ $85 = -36 + c$ $\newline$ $+60 \quad +60$ $\newline$ ---------------- $\newline$ $60 + 85 = 60 + (-36 + c)$
Determine Property: Determine the property of equality used. $\newline$ Since we added the same number $60$ to both sides of the equation, the property of equality used here is the Addition Property of Equality.