When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step? Original Equation: -(1)/(4)x=3 First Step: x=-12 multiplication property of equality addition property of equality associative property of addition commutative property of addition

Identify Equation & Step: Identify the original equation and the first step taken by Emily. Original Equation: -(1/4)x = 3 First Step: x = -12Analyze Transformation: Analyze the transformation from the original equation to the first step. Emily multiplied both sides of the equation by -4 to isolate x. -(1/4)x * (-4) = 3 * (-4) x = -12Property of Equality: Determine which property of equality is used when both sides of an equation are multiplied by the same number. The multiplication property of equality states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.Match Property Used: Match the property used with the given choices. The correct property that justifies Emily's first step is the multiplication property of equality.

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When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?
Original Equation:

-(1)/(4)x=3
First Step:

x=-12
multiplication property of equality
addition property of equality
associative property of addition
commutative property of addition

When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step? $\newline$ Original Equation: $\newline$ $-\frac{1}{4} x=3$ $\newline$ First Step: $\newline$ $x=-12$ $\newline$ multiplication property of equality $\newline$ addition property of equality $\newline$ associative property of addition $\newline$ commutative property of addition

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Math Problems

Grade 6

Properties of addition

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Q. When solving an equation, Emily's first step is shown below. Which property justifies Emily's first step?

\newline

Original Equation:

\newline

-\frac{1}{4} x=3

\newline

First Step:

\newline

x=-12

\newline

multiplication property of equality

\newline

addition property of equality

\newline

associative property of addition

\newline

commutative property of addition

Identify Equation & Step: Identify the original equation and the first step taken by Emily. $\newline$ Original Equation: $-(\frac{1}{4})x = 3$ $\newline$ First Step: $x = -12$
Analyze Transformation: Analyze the transformation from the original equation to the first step. $\newline$ Emily multiplied both sides of the equation by $-4$ to isolate $x$ . $\newline$ $-\left(\frac{1}{4}\right)x \cdot (-4) = 3 \cdot (-4)$ $\newline$ $x = -12$
Property of Equality: Determine which property of equality is used when both sides of an equation are multiplied by the same number. $\newline$ The multiplication property of equality states that if you multiply both sides of an equation by the same nonzero number, the two sides remain equal.
Match Property Used: Match the property used with the given choices. $\newline$ The correct property that justifies Emily's first step is the multiplication property of equality.