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SAT Math Formulas

Algebra


Slope
Slope-intercept form
a 2 −b2 =

(a + b )

2



=

Distance formula with
Pythagorean Theorem


Quadratics




y 2 − y1

x 2 − x1
y = mx + b

m=

(a − b ) (a + b )
a 2 + 2ab + b 2


c = a 2 +b2
(Using a 2 + b 2 = c 2 )





Factored Form



y = a (x − p )(x − q )

x-intercepts




x = p or x = q
p +q

x=
2

Vertex Form



y = a (x − h ) + k

Vertex



(h , k )

Vertex


x-intercepts

Standard Form
Vertex





1)

x-intercepts



When are there 2 real
x-intercepts?
When is there 1 real
x-intercepts?
When are there no real
x-intercepts?



2)




2

x =h±

−k

a

y = ax 2 + bx + c
−b

x=
2a
1) Try factoring

2) x =

−b ± b 2 − 4ac

2a

b 2 − 4ac > 0
b 2 − 4ac = 0
b 2 − 4ac < 0

Triangles / Trigonometry / Circles

sin θ =

cosθ =

tan θ =
Pythagorean
– –
triples (2 sets)
– –

Equation for a circle
Arc length =
Sector area =
30˚ to radians
45˚ to radians

Exponents / Radicals
xaxb =
xa
=
xb

( )
xa

( xy )

b

a

x







x a −b



xa ya



1

xa
1 (if x ≠ 0 )

=

x ab

x



x

x
=
y



x
y





a

( )
b

xy =


Miscellaneous
i2 =
Average (mean) =
Relationship of distance,
rate, and time


=r2

x a +b

=




2

θ
2π r
360
θ
πr 2
360
π
30˚= radians
6
π
45˚= radians
4



x 0 =
b



2

(x − h ) + ( y − k )

=

x −a =

a



Opp / Hyp
Adj / Hyp
Opp / Adj
3 – 4 – 5
5 – 12 – 13

y



−1
sum / # of values

d = rt



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