Which property of equality is shown below? If:–40 = z + –51 Then:–40/–56 = z + –51/–56 Choices: (A)Addition Property of Equality (B)Subtraction Property of Equality (C)Multiplication Property of Equality (D)Division Property of Equality

Analyze Given Statements: Analyze the given statements. If: –40 = z + (–51) Then: –40/–56 = z + (–51)/–56 Identify the operation performed on both sides of the equation. The original equation is divided by –56 on both sides.Identify Operation: Determine the property of equality used. When both sides of an equation are divided by the same nonzero number, the equation remains balanced. This is known as the ＂Division Property of Equality.＂

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Which property of equality is shown below? $\newline$ If: $-40 = z + -51$ $\newline$ Then: $\frac{-40}{-56} = \frac{z + -51}{-56}$ $\newline$ 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 $\newline$

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Math Problems

Algebra 1

Properties of equality

Full solution

Q. Which property of equality is shown below?

\newline

If:

-40 = z + -51

\newline

Then:

\frac{-40}{-56} = \frac{z + -51}{-56}

\newline

Choices:

\newline

(A) Addition Property of Equality

\newline

(B) Subtraction Property of Equality

\newline

\newline

(D) Division Property of Equality

\newline

Analyze Given Statements: Analyze the given statements. $\newline$ If: $-40 = z + (-51)$ $\newline$ Then: $\frac{-40}{-56} = \frac{z + (-51)}{-56}$ $\newline$ Identify the operation performed on both sides of the equation. $\newline$ The original equation is divided by $-56$ on both sides.
Identify Operation: Determine the property of equality used. $\newline$ When both sides of an equation are divided by the same nonzero number, the equation remains balanced. $\newline$ This is known as the ＂Division Property of Equality.＂