SAT Math Formulas

memorize these

slope formula

slope intercept form

y = mx + b

point slope form

y - y1 = m (x - x1)

vertex of a parabola

factoring patterns

remainder theorem

A polynomial's remainder when divided by a linear divisor can be found by evaluating the polynomial at that divisor's root OR if a polynomial f(x) is divided by (x-a), the remainder is f(a)

probability

p = favorable outcomes / total outcomes

median

the middle value of a data set when it is organized in ascending or descending order. For an even number of observations, it is the average of the two middle values.

mode

the value that appears most frequently in a data set.

range

the difference between the highest and lowest values in a data set.

area of a triangle

a = ½ x b x h

pythagorean theorem

a² + b² = c²

special right triangle 45 - 45 - 90

sides are x, x, and x√2

sine

opposite / hypotenuse

cosine

adjacent / hypotenuse

tangent

opposite / adjacent

special right triangle 30 - 60 - 90

sides are x, x√3, and 2x