Math IM3: Challenge Test

i²

-1

used to find x value of maximum height

-b/2a

i³

-i

i⁴

0

i⁰

1

ln(e)

1

log10

1

0 (number of discriminants?)

1 real (0)

log1

10

Half-Life

1=2e^rt

negative (number of discriminants?)

2 imaginary roots (ex: +2i, -2i)

positive (number of discriminants?)

2 real (ex: +2,-2)

₅C₂=₅C₃

2+3=5

6+ degree

6th degree

simple interest

A=P₀(1+r)^t

compound interest

A=P₀(1+r/n)^nt

compound continuously interest

A=P₀e^rt (r→decimal)

y=₃√x

Cube Root Graph

y=x³

Cubic Graph

(x+3)²

FOIL

y=1/x

Hyperbolic Graph

Lower Fence

Q1-1.5(IQR)

Upper Fence

Q3+1.5(IQR)

IQR

Q3-Q1

used for graphing polynomials

Rational Root Theorem

y=√x

Square Root Graph

positive>negative

all real numbers

directrix

asymptote outside parabola

law of cosines

a²=b²+c²-2bc(cosA) (variables can be switched)

2 term

binomial

0 degree

constant

3 degree

cubic

distance formula

d=√(x₂²-x₁²)+(y₂²-y₁²)

x⁶-y⁶

difference of squares

even+even

even

x⁵+y⁵

good guy bad guy

(h o g)(6)

h(g(6))

formula for ball (getting kicked and landing)

h(t)=-16t²+V₀t+H₀

i¹

i

focus

inside the parabola

1 degree

linear

log(e)

ln

radian

measure of a circle's central angle where the radius and arc length are equal

1 term

monomial

even+odd

neither

to find y-int of polynomials (what do you multiply)

numbers in parentheses (ex: (x+2)(x-4)(x+3)

odd+odd

odd

odd graph

opposite about the y-axis (when you plug in a ±# you get opposites)

secant

opposite of cosine

cosecant

opposite of sine

cotangent

opposite of tangent

combination

order doesn't matter

permutation

order matters

4+ term

polynomial

when something is squared

positive

x⁴+y⁴

prime

when not the entire expression is a fraction

put expression over 1 (ex: x+2/x)

2 degree

quadratic

4 degree

quartic

5 degree

quintic

negative on the x for log and exponential graphs

reflects over the asymptote

law of sines

sinA/a=sinB/b=sinC/c

even graph

symmetrical about the y-axis (when you plug in a ±# you get the same answer)

logarithm

the exponent of an exponential

factoring

to make into a product

3 term

trinomial

when writing a polynomial equation with the given roots

use ± of roots and imaginary numbers (ex: 4,2i →(x-4)(x+2i)(x-2i))

formula to find z-score

x̅ -µ/σ

used to find focus and directrix

|a|=1/4p

√x²

|x|

area of a triangle (SAS)

½ab(sinC)

positive<negative

∅

used to find discriminants

√b²-4ac