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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.

solve for variable


The formula for the area of a circle is A = pr2 . Solve for r in the formula .


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?
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
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
1. Solve for Solve for b1
A = 1/2h(b1 + b2)

2. Solve for z
3z + x - y = 2x + 4

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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