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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

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.
Mathway Calculator Widget


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