Algebra Examples

$e = \frac{1}{2} m v^{2}$

Step 1

Multiply $\frac{1}{2} (m v^{2})$ .

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Step 1.1

Combine $m$ and $\frac{1}{2}$ .

$e = \frac{m}{2} v^{2}$

Step 1.2

Combine $\frac{m}{2}$ and $v^{2}$ .

$e = \frac{m v^{2}}{2}$

Step 2

To rewrite as a function of $v$ , write the equation so that $e$ is by itself on one side of the equal sign and an expression involving only $v$ is on the other side.

$f (v) = \frac{m v^{2}}{2}$