BODMAS Calculator with Variables

Substitute variable values into expressions and evaluate using BODMAS rules.

Variable Substitution Calculator

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Using BODMAS with Variables

Expressions containing variables follow the exact same BODMAS hierarchy. Substitute values first, then evaluate brackets, exponents, multiplication/division, and addition/subtraction in order.

Variable Substitution Example (x=3)
✓ Substitution Flow
5x + (x² - 4)
1. Substitute: 5(3) + (3² - 4)
2. Bracket exponent: 9 - 4 = 5
3. Multiply: 15
4. Add: 15 + 5 = 20
= 20 ✓

The VBODMAS Hierarchy

When variables are involved, the full sequence is Vinculum → Brackets → Orders → Division/Multiplication → Addition/Subtraction.

Priority Pyramid
1Brackets ( )innermost first
2Orders x²exponents/roots
3Division & Multiplication÷ × L→R
4Addition & Subtraction+ − L→R

Variable Rules

Key rules when working with variables in BODMAS expressions.

Variable Tips
🔤
Coefficients
3x means 3 × x. Multiplication applies per BODMAS priority.
📐
Like Terms
Only add/subtract like terms: 2x + 3x = 5x

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.