Important Math Formulas

Algebra Formulas

TopicFormula
Quadratic Formulax = (-b ± √(b² - 4ac)) / 2a
Distributive Propertya(b + c) = ab + ac
Commutative Propertya + b = b + a, ab = ba
Associative Property(a + b) + c = a + (b + c)
Identity Propertya + 0 = a, a * 1 = a
Inverse Propertya + (-a) = 0, a * (1/a) = 1 (a ≠ 0)
Absolute Value|a| = a if a ≥ 0, -a if a < 0
Slope Formulam = (y2 - y1) / (x2 - x1)

Exponent Rules

RuleFormula
Product Rulea^m * a^n = a^(m+n)
Quotient Rulea^m / a^n = a^(m-n)
Power Rule(a^m)^n = a^(m*n)
Zero Exponent Rulea^0 = 1
Negative Exponent Rulea^(-n) = 1 / a^n

Geometry Formulas

ShapeFormula
TriangleArea = ½ × base × height
RectangleArea = length × width
SquareArea = side²
CircleArea = π × radius²
Pythagorean Theorema² + b² = c²