True or False: Squaring both sides of an equation is an equivalence transformation because it preserves the exact solution set of the original equation.

A technician compares two monthly data plans:

• Plan 1: Fixed cost of $30 per month with unlimited data.
• Plan 2: Fixed cost of $10 plus $2 per GB of data used ($t$).

Which value of $t$ represents the amount of data where both plans cost the same?

The definition of a solution states it is a value that makes the equation true. For what value of the constant $k$ is $x = 4$ a solution to the equation $3x - k = 5$?

True or False: If you divide both sides of the equation $5x = x^2$ by $x$, the resulting equation $5 = x$ is an equivalent equation to the original.

When solving the equation ${\frac{x}{3} + 2 = \frac{1}{2}x - 4}$, which is a logical first step to clear the fractions?