| Topic | Formula |
|---|---|
| Quadratic Formula | x = (-b ± √(b² - 4ac)) / 2a |
| Distributive Property | a(b + c) = ab + ac |
| Commutative Property | a + b = b + a, ab = ba |
| Associative Property | (a + b) + c = a + (b + c) |
| Identity Property | a + 0 = a, a * 1 = a |
| Inverse Property | a + (-a) = 0, a * (1/a) = 1 (a ≠ 0) |
| Absolute Value | |a| = a if a ≥ 0, -a if a < 0 |
| Slope Formula | m = (y2 - y1) / (x2 - x1) |
| Rule | Formula |
|---|---|
| Product Rule | a^m * a^n = a^(m+n) |
| Quotient Rule | a^m / a^n = a^(m-n) |
| Power Rule | (a^m)^n = a^(m*n) |
| Zero Exponent Rule | a^0 = 1 |
| Negative Exponent Rule | a^(-n) = 1 / a^n |
| Shape | Formula |
|---|---|
| Triangle | Area = ½ × base × height |
| Rectangle | Area = length × width |
| Square | Area = side² |
| Circle | Area = π × radius² |
| Pythagorean Theorem | a² + b² = c² |