Solve for a Variable in a Formula
In these lessons, we will learn how to solve a formula for a variable. It is also called solving literal equations.
Solving for a variable in a formula involves similar steps to solving for a variable in an equation. Let us review the steps as follows when we need to solve for a variable in a formula.
Example:
The formula for the area of a circle is A = pr2 . Solve for r in the formula .
Example:
The formula for the area of a circle is A = pr2 . Solve for r in the formula .
How to solve a formula with variables for a specified variable?
Examples:
1. Solve for r
d = rt
2. Solve for h
A = 1/2 bh
3. Solve for b2
A = 1/2(b1 + b2)
4. Solve for w
P = 2L + 2W
5. Write y in terms of x
y - 3 = 1/3(x - 4)
6. Solve for a
1/a + 1/b = 1/2
Solving formulas for given variables
Examples:
1. c = ipv, solve for v
2. p = a + 3b + 2c, solve for a
t = 3j + 3v, solve for k
Solving an Equation for a Specified Variable
Examples:
1. Solve for Solve for b1
A = 1/2h(b1 + b2)
2. Solve for z
3z + x - y = 2x + 4
Try the free Mathway calculator and
problem solver below to practice various math topics. Try the given examples, or type in your own
problem and check your answer with the step-by-step explanations.
We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.