Algebra 1 Intermediate

Literal Equations

Pick any formula, choose which variable to isolate, and get the rearranged equation with full algebraic step-by-step work. Enter known values to compute a numeric answer too.

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20+ formulas across 5 categories
Algebraic step-by-step work
Formula Setup
Category
Result
Select a category, formula, and variable to solve for — your rearranged equation will appear here.
Step-by-Step Solution
What Are Literal Equations?
A = l × w  →  l = A ÷ w

A literal equation is any equation that contains two or more variables (letters). Most formulas in math and science are literal equations.

To solve for a variable, apply inverse operations to isolate it on one side — the same moves you use with numbers, but you're manipulating letters instead.

Key inverse operations: addition ↔ subtraction, multiplication ↔ division, squaring ↔ square root.

Whatever you do to one side of the equation, do the same to the other side — the balance rule never changes.
Why Do We Rearrange Formulas?

The same formula is used in many different situations. You might know the area but not the length, or know the voltage but not the resistance. Rearranging lets you solve any version of the same problem.

  • Geometry: find a missing side from area or perimeter
  • Physics: solve for time, rate, force, or voltage
  • Finance: find principal, rate, or duration of an investment
  • Science: convert between temperature scales
  • Algebra: find x or b from the slope-intercept form
Learning to rearrange formulas is one of the highest-value skills in all of math — every STEM field uses it constantly.

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