Question

Which property of equality should Wade use to solve the equation StartFraction x Over 6 EndFraction = 3?
addition property of equality
subtraction property of equality
multiplication property of equality
distributive property of equality

Answer 1

Wade should use the **multiplication property of equality** to solve the equation \(\frac{x}{6} = 3\). This property states that if two expressions are equal, you can multiply both sides of the equation by the same nonzero number (in this case, 6) to maintain the equality.

So, Wade would multiply both sides of the equation by 6:

\[
6 \cdot \frac{x}{6} = 6 \cdot 3
\]

This simplifies to:

\[
x = 18
\]

Thus, the multiplication property of equality is the correct choice.