BODMAS Calculator with Variables

Substitute variable values into expressions and evaluate using BODMAS rules.

Variable Substitution Calculator

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How BODMAS Variables Calculator Works

BODMAS Variables Calculator works by substituting user-defined variable values into an expression, then evaluating the result using the BODMAS order of operations.

Enter an expression containing variables (a, b, x, y) and assign numeric values to each variable. The calculator replaces each variable with its value and solves the expression step by step.

BODMAS Variables Calculator supports up to 26 single-letter variables. The calculator handles implicit multiplication (2x = 2×x), exponents (x^2), and nested brackets.

Variable Substitution Example
✓ Step-by-Step
2a + b² − c (a=3, b=4, c=2)
1. Substitute: 2(3) + (4)² − 2
2. Exponent: 4² = 16
3. Multiply: 2×3 = 6
4. Add/Sub: 6+16−2 = 20
= 20 ✓

BODMAS Variables Formula

The BODMAS Variables formula follows 2 phases — substitution first, then evaluation using the standard BODMAS priority order.

Variable Evaluation Process
🔤
Substitution
Replace each variable letter with its numeric value
🔲
Brackets
Solve innermost parentheses after substitution
xⁿ
Orders
Evaluate exponents and roots
÷×+−
Arithmetic
Division/Multiplication then Addition/Subtraction, left to right

BODMAS Variables Conversions Chart

The BODMAS Variables conversions chart shows 8 variable expression examples with substituted values and their BODMAS-evaluated results.

Variable Substitution Reference
ExpressionValuesSubstitutedResult
x + yx=5, y=35+38
2x − yx=4, y=12(4)−17
x² + y²x=3, y=49+1625
(a+b) × ca=2, b=3, c=45×420
a/b + ca=10, b=2, c=35+38
x³ − 2xx=327−621
(x+y)²x=1, y=23²9
2πrr=72×3.14159×743.98

Variables FAQ

Common questions about evaluating variables under BODMAS.

Substitute numerical values for each variable, then follow BODMAS: Brackets, Orders, Division/Multiplication (left to right), Addition/Subtraction (left to right).
The exponent must be calculated after brackets and before multiplication, division, addition, or subtraction.
Operations inside brackets are simplified first, even if they contain variables.
No. Multiplication/division and addition/subtraction must be executed left to right.