Solve for variable "in terms of" another variable

Use the equation for the area of a circle: $a=\pi r^2$

1. Solve for $r$ in terms of $a$.

Use the equation for the volume of a cylinder: $v=(\pi r^2)h$

2. Solve for $r$ in terms of $v$ and $h$.

3. Solve for $h$ in terms of $v$ and $r$.

Use the equation for Potential Energy: $PE = mgh$ (m=mass; g=acceleration due to gravity; h=height)

4. Solve for mass in terms of potential energy, gravity, and height.

5. Solve for height in terms of potential energy, gravity, and mass.

Use the equation for Kinetic Energy: $KE = \dfrac{1}{2}mv^2$ (m=mass; v=velocity)

6. Solve for mass in terms of kinetic energy and velocity.

7. Solve for velocity squared ($v^2$) in terms of kinetic energy and mass.

Use the Pythagorean Theory: $c^2 = a^2 + b^2$ 

8. Solve for $a^2$ in terms of $b$ and $c$.

9. Solve for $b^2$ in terms of $a$ and $c$.

Use the equation for Compound Interest: $A = P(1+\dfrac{r}{n})^{nt}$ (A=future value of investment; P=principal investment; r=annual interest rate; n=number of times interest in compounded per year; t=number of years the money is invested):

10. Solve for principal in terms of $A$, $r$, and $n$.