Which property of equality is shown below? If:f − 54 = g Then:f − 54/h = g/h Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Given Expressions: Analyze the given expressions. The original equation is f − 54 = g. The transformed equation is f − 54/h = g/h. Identify the operation performed on both sides of the original equation.Determine Transformation Operation: Determine the operation used to transform the equation. The operation used is division by h on both sides of the equation. f − 54 = g becomes (f − 54)/h = g/h when both sides are divided by h.Identify Property of Equality: Identify the property of equality. Since division is applied to both sides of the equation to maintain equality, the property used is the Division Property of Equality.

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Which property of equality is shown below? $\newline$ If: f - 54 = g $\newline$ Then: \frac{f - 54}{h} = \frac{g}{h} $\newline$ 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:

f  -  54 = g

\newline

Then:

\frac{f - 54}{h} = \frac{g}{h}

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

Analyze Given Expressions: Analyze the given expressions. $\newline$ The original equation is $f - 54 = g$ . $\newline$ The transformed equation is $\frac{f - 54}{h} = \frac{g}{h}$ . $\newline$ Identify the operation performed on both sides of the original equation.
Determine Transformation Operation: Determine the operation used to transform the equation. $\newline$ The operation used is division by $h$ on both sides of the equation. $\newline$ $f - 54 = g$ becomes $(f - 54)/h = g/h$ when both sides are divided by $h$ .
Identify Property of Equality: Identify the property of equality. $\newline$ Since division is applied to both sides of the equation to maintain equality, the property used is the Division Property of Equality.