SAT Math Key formulas

a^maⁿ

a^m+n

Surface area formula (rect. prism)

2lw + 2lh + 2wh

a^m/aⁿ

a^m-n

(ab)ⁿ

aⁿbⁿ

(a/b)ⁿ

aⁿ/bⁿ

a^-n

1/aⁿ

point slope formula

y - y₁ = m(x - x₁)

formula for equations like 4^×2

P = Cr^t where P is the origin, C is the constant, r is the rate, and t is the time.

minimum / maximum value formula

x = -b/2a

Vertex form

y = a(x - h)² + k, where (h, k) is the vertex.

distance formula

d² = (x₂-x₁)² +(y₂-y₁)²

quadratic formula

-b plus or minus sqrt b²-4ac / 2a

area of an equilateral triangle

sqrt 3 / 4 * a²

Equation of a circle

(x - h)² + (y - k)² = r², where (h, k) is the center and r is the radius.

Length of arc

Length of arc / circumference = Angle / 360

Area of sector

Area of sector / area of circle = angle / 360

Circumference of a circle

2πr / πd

Area of a circle

πr²

Diameter of a circle

d = 2r

vertex form

y=a(x−h)²+k

where (h,k)is the vertex.

Radians to degrees formula

πradians = 180 degrees

area of a cube

s³

Density formula

Mass / volume

Diameter of a circle

2r

area of sector formula

area of sector / area of circle = degree / 360

length of arc formula

length of arc / circumference = angle / 360

area of a circle

πr²

Circumference of a circle

2πr or πd

degrees to radians formula

radians = degrees × (π/180)

radians to degrees formula

degrees = radians × (180/π)

vertex formula

a(x-h)²+k where h and k are the vertex

Surface area of a cube

6s²

No solution

b²<4ac

Max value / solution

b²>4ac

One solution

b²=4ac

Total angle formula

TA = 180 (n - 2) where n is the # of sides