Which property of equality is shown below? If:f + –10 = –37 Then:(f + –10) · 76 = –37 · 76 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 equation. The given equations are: If: f + (–10) = –37 Then: (f + (–10)) · 76 = (–37) · 76 We can see that both sides of the original equation are being multiplied by 76.Property of Equality: Determine which property of equality corresponds to the operation identified in Step 1. Since we are multiplying both sides of the equation by the same number (76), we are using the Multiplication Property of Equality. This property states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.

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Which property of equality is shown below? $\newline$ If: $f + (-10) = -37$ $\newline$ Then: $(f + (-10)) \cdot 76 = -37 \cdot 76$ $\newline$ 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 + (-10) = -37

\newline

Then:

(f + (-10)) \cdot 76 = -37 \cdot 76

\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 equation. $\newline$ The given equations are: $\newline$ If: $f + (\text{-}10) = \text{-}37$ $\newline$ Then: $(f + (\text{-}10)) \cdot 76 = (\text{-}37) \cdot 76$ $\newline$ We can see that both sides of the original equation are being multiplied by $76$ .
Property of Equality: Determine which property of equality corresponds to the operation identified in Step $1$ . $\newline$ Since we are multiplying both sides of the equation by the same number $76$ , we are using the Multiplication Property of Equality. This property states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.