Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Which property of equality is shown below?\newlineIf: x=4030x = 40 \cdot 30\newlineThen: xy=4030y\frac{x}{y} = \frac{40 \cdot 30}{y}\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality

Full solution

Q. Which property of equality is shown below?\newlineIf: x=4030x = 40 \cdot 30\newlineThen: xy=4030y\frac{x}{y} = \frac{40 \cdot 30}{y}\newlineChoices:\newline(A) Addition Property of Equality\newline(B) Subtraction Property of Equality\newline(C) Multiplication Property of Equality\newline(D) Division Property of Equality
  1. Analyze Expressions: Analyze the given expressions.\newlineIf: x=4030x = 40 \cdot 30\newlineThen: xy=4030y\frac{x}{y} = \frac{40 \cdot 30}{y}\newlineWe need to identify which operation is applied to both sides of the equation.
  2. Identify Operation: Identify the operation used.\newlineThe operation used is division by yy on both sides of the equation.\newlinex=4030x = 40 \cdot 30 becomes xy=4030y\frac{x}{y} = \frac{40 \cdot 30}{y} when divided by yy.
  3. Determine Property: Determine the property of equality used.\newlineBy dividing both sides of the equation by yy, the equation remains balanced.\newlineThis is the "Division Property of Equality".

More problems from Properties of equality