Q: What do you have to do to get the variable by itself?

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No. The goal is to find a value of the variable(s) for which the solution is true. Getting the variable by itself is only a part of the process, not the goal.

Yes. A variable by itself, or anything that contains a variable, would be a variable expression (unless the variable cancels out, as in "x - x", which always has the same value).

Identity property of addition states that the sum of zero and any number or variable is the number or variable itself. Identity property of multiplication states that the product of 1 and any number or variable is the number or variable itself.

it haves a sstem of parts

True if the variable is non-negative, false if the variable itself is negative.

Yes

1

Not necessarily.

There is in fact a difference. Depending Variable: Varies on the outcome of the Responding Variable. Responding Variable: Varies on the outcome of both itself and the Depending Variable. Math keeps us goin'!

A dependent variable is usually on the side of the equation by itself. The independent variable usually has something being done to it. And, the dependent variable is usually written to the left of the equation.

It is not necessarily a motion in itself... Variable speed refers to something that can change speeds, or that the speeds can be changed. There are many things that can be variable speed.

Isolate the variable