Question

Using the property of equality what first step would you take to rearrange the formula a = p + PRT using r as the quantity of interest a subtracting p from both sides of the equation b divide both sides by t c subtract PR from both sides or d divide both sides by p

Answer 1

To rearrange the formula \( a = p + PRT \) to isolate \( r \), we first need to identify how to manipulate the equation.

1. **Subtract \( p \) from both sides (Choice A)**: This would result in \( a - p = PRT \). This step gets us closer to isolating \( r \) because it removes \( p \) from the right side of the equation, which contains terms involving \( r \).

At this point, the equation looks like this:
\[ a - p = PRT \]

Next, we would want to isolate \( r \).

2. **Divide both sides by \( PT \)**: This is the next logical step to isolate \( r\). If we assume \( P \) and \( T \) are non-zero, you can rewrite it as:
\[ r = \frac{a - p}{PT} \]

So, the correct first step to rearranging the formula \( a = p + PRT \) with respect to \( r \) is **A: Subtract \( p \) from both sides of the equation**.