Question

s=1/2gt^2 solve for t

Answer 1

\(s=\frac{1}{2}gt^2\) ?

Answer 2

Solve for <variable> questions are basically order of operations problems, but you are using the order to un-do operations.

Take \(x=\frac{y}{7}+1\) for example. The addition happens last in the normal order of operations. But if I say solve for y, then I need to un-do the addition first! This takes subtraction.

\(x=\frac{y}{7}+1\)

\(x-1=\frac{y}{7}+1-1\)

\(x-1=\frac{y}{7}\)

Then I need to un-do the division with multiplication.

\(x-1=\frac{y}{7}\)

\((x-1)\cdot 7=\frac{y}{7}\cdot 7\)

\(7x-7=y\)

Finally I rearrange it to a more standard order:

\(y=7x-7\)

That is all that this sort of question takes. So if you know your order of operations, just work it from the bottom to the top!