| Name |
Description |
Notes |
| Commutative law |
a + b = b + aa × b = b × a |
AdditionMultiplication |
| Associative law |
(a + b) + c = a + (b + c)(a × b) × c = a × (b × c) |
AdditionMultiplication |
| Distributive law |
a × (b + c) = a × b + a × c |
|
| Pythagorean theorem |
a2 + b2 = c2 |
a, b, and c represent the lengths of the three sides of a triangle, with c being the length of the hypotenuse |
| Quadratic formula |
 |
Solution for the general quadratic equation: ax2 + bx + c = 0 |
| Exponents, multiplication of |
xaxb = xa+b |
Must have same base |
| Exponents, division of |
xa/xb = xa-b |
Must have same base |
| Exponents, base raised to two |
(xa)b = xab |
|
| Exponent, negative |
x-a = 1/xa |
|
