Literal Equations
Rearrange formulas to solve for a chosen variable.
Key idea
Rearrange formulas to solve for a chosen variable.
In depth
A literal equation has several letters, like a formula. To rearrange for one variable, treat the others as numbers and use the same inverse steps. It lets you reuse a formula in any direction.
Worked example
Solve V = lwh for h: divide both sides by lw, so h = V/(lw).
Formula
Real-world uses
- Rearranging the area of a trapezium to find its height
- Solving Ohm’s law for current in circuits
Common mistake
Dividing only one term when the variable appears in a sum.
How to learn this
- Read the key idea and say it in your own words.
- Work through the worked example, then try a similar problem.
- Use the interactive lesson’s visual and mini-quiz to check the pattern.
Frequently asked questions
What is Literal Equations?
Rearrange formulas to solve for a chosen variable. It is a topic at the intermediate level in Algebra.
What is the formula for Literal Equations?
The key formula is A = ½bh ⇒ h = 2A/b.
Where is Literal Equations used in real life?
Real-world examples: Rearranging the area of a trapezium to find its height; Solving Ohm’s law for current in circuits.
What should I learn before Literal Equations?
Make sure you are comfortable with Variables on Both Sides, the previous topic in Algebra.
What is a common mistake with Literal Equations?
Dividing only one term when the variable appears in a sum.
How can I practise Literal Equations?
Open the interactive lesson, play with the visual, then answer the three-question mini-quiz. Getting two right marks the topic complete.
What comes after Literal Equations?
Move on to Identity and No-Solution Equations next.
Related intermediate topics in Algebra
- Multi-Step Equations – Distribute, combine like terms, move variables to one side.
- Variables on Both Sides – Collect variable terms on one side first.
- Identity and No-Solution Equations – Some equations are always true or never true.
- Linear Inequalities – Solve like equations but reverse the sign when multiplying by a negative.
- Compound Inequalities – Combine two inequalities using “and” or “or”.
- Absolute Value Equations – Split into two cases: inside equals ± the value.