Post on 05-May-2018
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SAT Math Formula Practice
Fold on the dotted line to cover the answers.
Linear Equations
Slope-Intercept Form
Slope Formula
Point-Slope Form
Formulas with Points
Midpoint Formula
Distance Formula
Rewriting Expressions
(Factor) a2 − b2 =
(Expand) (a+ b)2 =
−ab− c
⋅−1−1
=
If a = xb+ x
, then x =
abcd
=
y− y1 =m(x − x1)
x1 + x22
, y1 + y22
⎛⎝⎜
⎞⎠⎟
d = x2 − x1( )2 + y2 − y1( )2
a+ b( ) a− b( )
a2 + 2ab+ b2
ac− b
−aba−1
or ab1− a
ab⋅dc
y =mx + b
m =y2 − y1x2 − x1
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Quadratics
Standard Form
y =
Vertex
x = y =
Methods to find the x-intercepts
1) 2)
Quadratic Formula
x =
Vertex Form
y =
Vertex
( , )
x-intercepts
Factored Form
y =
Vertex
x = y =
x-intercepts
y = substitute for x
1) Try factoring
2) Quadratic formula
(h,k)
x = h± −ka
y= substitute for x
or
y = ax2 + bx + c
x = − b2a
−b2a
x = −b± b2 − 4ac2a
y = a(x − h)2 + k
y = a(x − p)(x − q)
x = p+ q2
p+ q2
x = p x = q
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Trigonometry
sinθ =
cosθ =
tanθ =
Given: opposite and adjacent Use _______ to find θ .
Given: adjacent and hypotenuse Use _______ to find θ .
Given: opposite and hypotenuse Use _______ to find θ .
Most Common Pythagorean Triples
Circles
Standard Equation
Center Point
Radius
opphyp
adjhyp
oppadj
tan−1 oppadj
⎛
⎝⎜
⎞
⎠⎟
cos−1 adjhyp⎛
⎝⎜
⎞
⎠⎟
sin−1 opphyp⎛
⎝⎜
⎞
⎠⎟
3-4-5 (and multiples)
5-12-13 (and multiples)
(h, k) r
(x − h)2 + (y− k)2 = r2
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Radians
Degree and Radian Conversion Formula
Arc Length (in Radians)
s =
Sector Area (in Radians)
A =
Arc Length (in Degrees)
s =
Sector Area (in Degrees)
A =
Imaginary Numbers
i =
i2 =
i3 =
i4 =
Complex Numbers
Conjugate of a+ bi
Conjugate of a− bi
A = r
2θ2
A = θ360
⋅πr2
−1
−1 −i 1
a− bi a+ bi
deg180
=radπ
s = rθ
s = θ360
2πr
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Exponent Rules
xaxb =
xa
xb=
xa( )b=
x−a =
x0 = (for x ≠ 0 )
xy( )a =
xy⎛
⎝⎜⎞
⎠⎟
a
=
xy⎛
⎝⎜⎞
⎠⎟
−a
=
xab =
or
Exponential Growth
Exponential Growth Formula
Initial Value
Rate of Change
xa+b xa−b
xab
1xa
1
xaya
xa
ya
ya
xa
xab or xb( )a
A(t) = A0 (1+ r)t
A0
r
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Radical Rules
xy =
xy
a x + b x =
a x − b x =
xab = or
Solve for x: x2 = a
Rates
Relationship between Distance, Rate, and Time
Relationship between Work, Rate, and Time
Averages
Average (Mean) of Items
of items of items
Undefined Values
Denominator is…
Expression under radical is...
x y
xy
a+ b( ) x
a− b( ) x
xab or xb( )a
x = ± a
d = rt w = rt
sum of items s number of items
Equal to 0
Less than 0