SAT math formulas

One solution

One point different slopes

No solution

Same slope no intersection

Density

mass/volume

Percentage change

Difference/intial x 100

Area of a square and a rectangle

Square: s², Rectangle: w x h

Area of a parallelogram and triangle

Paralleloram: b x h, triangle: b x h/2

Circle area and circumference

Area/circumference: pi x r²

Volume of a cube

V³

Volume of a rectangular solid

l x w x h

Volume of a cylinder

Pi x radius ² x height

Similar triangles

AAA

SAS- proportional

SSS- proportional

Congruent triangles

SSS- equal

ASA- sides between the angles are equal

AAS

Polygons: sum of angles and measure of each angle

All: (n-2)180 Each one (n-2)180/n

Surface area of a rectangular solid

2(lw+lh+wh)

Surface area of a cube

6s²

Surface area of a right sircular cylinder

2 pi r² + 2 pi rh

Surface area of a sphere

4pir²

Volume of a cube

s³

Volume of a rectangular solid

lwh

Volume of a right circular cylinder

ar²h

Volume of a sphere

4pir³/3

Point slope

y-y1=m(x-x1), know the slope and one point

Discriminant and its rules

b²-4ac

More than 0= two

Less than 0= none

Equal to 0=one

Quadratic formula

-b-+ square root of b²-4ac/2a

Quadratic sum of solutions

-b/a

Quadratic product of solutions

c/a

Slope on standard form of a line

-a/b

Vertex formula

t=-B/2a

Vertex form

a(x-h)²+k

Circle formula

(x-h)²+(y-k)²=r²

Distance formula

Square root of (x1-x2)²+(y1-y2)²

Circle

Central angle/360=arc length/circumference=sector/circle area

Shifting

Right- k-x

Left k+h

Up-k+y

down- k-y