Which property of equality is shown below? If:36 = –9x Then:36/–15 = –9x/–15 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 performed on both sides of the equation. The given equations are: If: 36 = –9x Then: 36/–15 = –9x/–15 We can see that both sides of the equation are being divided by -15.Property of Equality: Determine which property of equality corresponds to the operation identified in Step 1. Since we are dividing both sides of the equation by the same number (-15), we are using the Division Property of Equality. This property states that if you divide 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: $36 = -9x$ $\newline$ Then: $\frac{36}{-15} = \frac{-9x}{-15}$ $\newline$ 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:

36 = -9x

\newline

Then:

\frac{36}{-15} = \frac{-9x}{-15}

\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 performed on both sides of the equation. $\newline$ The given equations are: $\newline$ If: $36 = -9x$ $\newline$ Then: $\frac{36}{-15} = \frac{-9x}{-15}$ $\newline$ We can see that both sides of the equation are being divided by $-15$ .
Property of Equality: Determine which property of equality corresponds to the operation identified in Step $1$ . $\newline$ Since we are dividing both sides of the equation by the same number ( $-15$ ), we are using the Division Property of Equality. This property states that if you divide both sides of an equation by the same nonzero number, the two sides remain equal.