This algebra formulas cheat sheet lists the essential formulas — the quadratic formula, slope, distance, exponent and logarithm rules, and common factoring identities.
| Name | Formula |
|---|---|
| Quadratic formula | x = (−b ± √(b² − 4ac)) ⁄ 2a |
| Slope | m = (y₂ − y₁) ⁄ (x₂ − x₁) |
| Distance | d = √((x₂−x₁)² + (y₂−y₁)²) |
| Midpoint | ((x₁+x₂)⁄2, (y₁+y₂)⁄2) |
| Difference of squares | a² − b² = (a + b)(a − b) |
| Square of sum | (a + b)² = a² + 2ab + b² |
| Square of difference | (a − b)² = a² − 2ab + b² |
| Product (aᵐ·aⁿ) | aᵐ × aⁿ = aᵐ⁺ⁿ |
| Power of power | (aᵐ)ⁿ = aᵐⁿ |
| Negative exponent | a⁻ⁿ = 1 ⁄ aⁿ |
| Log product | log(xy) = log x + log y |
| Log power | log(xⁿ) = n log x |