Mathematics
Algebra Cheat Sheet
5 min read
# Algebra Cheat Sheet
## Order of Operations (PEMDAS)
Parentheses → Exponents → Multiplication/Division → Addition/Subtraction
## Linear Equations
- Standard form: ax + b = c
- Solve: isolate x by doing the same operation to both sides
## Quadratic Formula
For ax² + bx + c = 0:
x = (-b ± √(b²-4ac)) / 2a
## Exponent Rules
- aᵐ × aⁿ = aᵐ⁺ⁿ
- aᵐ / aⁿ = aᵐ⁻ⁿ
- (aᵐ)ⁿ = aᵐⁿ
- a⁰ = 1
## Factoring
- Difference of squares: a² - b² = (a+b)(a-b)
- Perfect square: a² + 2ab + b² = (a+b)²