SAT math formulas

sum of the roots

-b/a

product of the roots

c/a

discriminant

number of roots

b²-4(a)(c)

discriminant*

Finding roots*

Finding the vertex

-b/2a or (root 1 + root 2)/2

Finding the vertex*

vertex form

y = a(x-h)² + k

vertex form*

standard form of a parabola

y = ax² + bx + c

factored form*

if the discriminant [b²-4(a)(c)] is LESS than 0…

no solutions. Set value <0

if the discriminant [b²-4(a)(c)] is EQUAL than 0…

1 solution. Set value = 0

if the discriminant [b²-4(a)(c)] is GREATER than 0…

2 solutions. Set value > 0

the y-intercept of a parabola*

the line of symmetry*

Absolute value: copy and paste*

Absolute value:

copy and paste inequality

Absolute value:

copy and paste inequality

polynomial long division*

Polynomial long division:

finding the denominator

synthetic division:

finding the remainder

parallel lines*

total angle formula

180(# of sides - 2)

total angle formula*

tangent

a right angle

30, 60, 90 right triangle

x, x√3, 2x

45, 45, 90 right triangle

x, x, x√2

special right triangles:

45, 45, 90

equation of a circle

(x-h)² + (y-k)² = r²

distance formula

1) equation of a circle*

2) distance formula

Pythagorean theorem:

a² + b² = c²

special right triangles: 30, 60, 90:

perimeter formula

SOH CAH TOA*

Finding the x-intercept:

finding b

Complementary Rule

sin(x) = cos(90-x)

cos(x) = sin(90-x)

Pythagorean Theorem triplets:

3,4,5; 5, 12, 13; 7, 24, 25

what 16 represents in the equation of a circle

radius

what 5 and 3 represent in the equation of a circle

the center of the circle

slope: -a/b*

polynomial remainder theorm

x-coord of the vertex

-b/2a

Ax + Bx = C

standard form of a linear equation

y- y1 = m(x - x1)

point-slope form of a linear equation (b is the y-int)

c/b

shortcut to y-int when in standard form (Ax + Bx = C)

pi x D or 2 x pi x r

the circumference of a circlce

center of a circle

converting radians and degrees

distance formula