Which property of equality is shown below? If:b + c = 33 Then:d(b + c) = d · 33 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. We have the original equation: b + c = 33 And the transformed equation: d(b + c) = d · 33 We need to identify which operation is applied to both sides of the original equation to obtain the transformed equation.Identify Operation Used: Identify the operation used. The operation used to go from b + c = 33 to d(b + c) = d · 33 is multiplication by d.Determine Property of Equality: Determine the property of equality. Since we multiplied both sides of the equation by the same number d, we used 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: $b + c = 33$ $\newline$ Then: $d(b + c) = d \cdot 33$ $\newline$ 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:

b + c = 33

\newline

Then:

d(b + c) = d \cdot 33

\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. $\newline$ We have the original equation: $b + c = 33$ $\newline$ And the transformed equation: $d(b + c) = d \cdot 33$ $\newline$ We need to identify which operation is applied to both sides of the original equation to obtain the transformed equation.
Identify Operation Used: Identify the operation used. $\newline$ The operation used to go from $b + c = 33$ to $d(b + c) = d \cdot 33$ is multiplication by $d$ .
Determine Property of Equality: Determine the property of equality. $\newline$ Since we multiplied both sides of the equation by the same number $d$ , we used 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.