SAT math formulas

slope of a line

y2-y1/x2-x1

Point-slope form

y-y1=m(x-x1)

Slope-intercept form

y=mx+b

Midpoint Formula

[x1+x2/2, y1+y2/2]

Distance Formula

D = √((x2-x1)² + (y2-y1)²)

Length of an Arc

L= [n/360]2pier

Area of a Sector

A= [n/360]pier²

Quadratic Formula

-b+-squarerootb²-4ac/2(a)

SOHCAHTOA

sin: opposite/hypotenuse

Cos: adjacent/hypotenuse

Tan: opposite/adjacent

Probablity

nbr of favorable outcomes/ nbr of total outcomes

Circle Equation

(x-h)²+(y-k)² = r²

Exponential Growth

y=a(1+-r)^t

Vertex of Parabola

x=-b/2a

Vertex Form

y=a(x-h)²+k

The pythagoreom theorem

a²+b²=c²

Special Right Triangles

45-45-90 ( x, x, xsquareroot of 2) and 30-60-90 (2,2x, x squareroot of 3)

Distance = Rate x Time

D= rt

Sine and Cosine

sin(x)=cos (90-x)

Sum of Solutions

c/a

The Discriminant

b²-4ac. If its <0: no real solution. =0: one real solution. >0 two real solutions

Area of an Equilateral Triangle

s²√3/4

Pythagoreom Triples

3,4,5/ 5,12,13/ 7,24,25/ 8,15,17

Perpendicular slope

m//=a/b mP:-b/a

Sum of Angles

sum=(n-2)180

Rational Functions

f(x)= x-xint/x-vertical asympotote

Triangle Congrugence

SSS, SAS, ASA, AAS, HL

Triangle Similarity

for SAS: AB/XY = AC/XZ

Unit Circle

sin(0)=y cos(0)=x tan(0)=y/x

FOILing

First, Outside, Inside, Last

Squaring a Binomial

same as foil

Exponent Rules

x^m * x^n = x^mn

(x^m )ⁿ = x^mn

x^m/xⁿ = x^m-n

x^-m = 1/x^m

x⁰ = 1

x¹ = x

x^m/n = n√x^m

Absolute Value

make two equations one with a positive number after the = sign and the other equation a negative

Inequalities

Don’t forget to flip the inequality symbol when dividing/multiplying both sides by a negative