Which property of equality is shown below? If:68 − c = 64 Then:(68 − c) · –99 = 64 · –99 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 original equation. Original equation: 68 − c = 64 Operation applied: Multiplication by -99 to both sides. (68 − c) · –99 = 64 · –99Operation Correspondence: Determine which property of equality corresponds to the operation used. Since we are multiplying both sides of the equation by the same number (-99), the property of equality being used is the Multiplication Property of Equality.

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Which property of equality is shown below? $\newline$ If: $68 - c = 64$ $\newline$ Then: $(68 - c) \cdot -99 = 64 \cdot -99$ $\newline$ 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:

68 - c = 64

\newline

Then:

(68 - c) \cdot -99 = 64 \cdot -99

\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 original equation. $\newline$ Original equation: $68 - c = 64$ $\newline$ Operation applied: Multiplication by $-99$ to both sides. $\newline$ $(68 - c) \cdot -99 = 64 \cdot -99$
Operation Correspondence: Determine which property of equality corresponds to the operation used. $\newline$ Since we are multiplying both sides of the equation by the same number $(-99$ ), the property of equality being used is the Multiplication Property of Equality.