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 |