Math SAT Last Minute Review

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Formula: Volume of a Sphere

V = 4/3πr^3

What should you use to convert **radians** to **degrees**?

x \* **(180/π)**

Formula: Total Angle of a Polygon

TA = 180(n-2)

Special Right Triangle: 60-30-90

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Special Right Triangle: 45-45-90

s, s, s(sqrt)s

Formula: Volume of a Pyramid

V = 1/3 lwh

Formaula: Volume of a Cone

V = 1/3 πr^2 \* h

Formula: Volume of a Cylinder

V = πr^2 \* h

Formula: Area of a Equilateral

How do you evaluate the difference of imaginary numbers/complex numbers?

(h+zi)(h-zi)

h^2 + z^2

What is the **quadratic formula**?

\-b ± √(b^2-4ac) / (2a)

How do you find the **discriminant**?

Use b^2 - 4ac

* b^2 - 4ac > 0, 2 real solutions
* b^2 - 4ac = 0, 1 real solution
* b^2 - 4ac < 0, 0 real solutions (NRS)

What is the equation used for **exponential growth/decay**?

y = a(1 ± r)^t

\* a = initial, r = rate, t = time

What is the **vertex form** of a quadratic function?

y = a(x-j)^2 + h

\* remember that **(x-j)** is a translation to the **right**

\* remember that **(x+j)** is a translation to the **left**

What is the **distance formula**?

√( (x2 - x1)^2 + (y2 - y1)^2 )

How do you **find the** **vertex of a parabola** given an equation? (ax^2+bx+c)

(-b) / 2a

What is **distance**?

d = rt

distance = rate \* time

How do you find the **sum of solutions**?

(-b) / a

What is the matching rule?