# math honors exam stuff

## 78 terms · stuff for our exam -cutbirth

a²+b²=c²

### defn of abs value

abs of a=a if a≥0 and the abs value of a=-a if a<0

### zpp

if ab=0 then a=0 and/or b=0

d=rt

rise/run

Ax+By=C

y-y₁=m(x-x₁)

y=mx+b

x/a+y/b=1

y axis

x axis

in the same line

### slope of vertical line

no slope(undefined)

slope=0

180°

### obtuse <

< over 90° and less than 180°

### complementary <

2<'s that add up to 90°

### supplementary <

2 <'s that add up to 180°

### intercection

whats similar in 2 sets

### union

put it all together what do you get

ΙxΙ

1,2,3,...

0,1,2,3...

### integers(j or z)

...-2,-1,0,1,2...

### rational (q) #'s

all #'s that can be expressed as a fraction of 2 integers

### irrational (irr or q') #'s

non terminating/repeating decimals

rationals U irr

n(n-3)/2

no solution

A=πr²

A=LW

A=1/2bh

### prime #'s

only factors are 1 and itself

### composite #

w # w/ more than 1 prime factor

### prime factored form

a #'s list of prime factors

### variable

symbol used to represent a #

### evaluate an expression

replace variables w/ values then simplify the numerical expression

### solve an equation

use properties of equality to find a solution which is a value for the variable that makes the statement true

PEMDAS

A=h(b₁+b₂/2)

### equation

a mathematical sentence that states that 2 quantities are=

is not equal to

is less than

is greater than

### ≥

is greater than or = to

### ≤

is less than or = to

### set

collection of objects

(x,y)

### origin

(0,0) on the coordinate plane

### probability(p)

ratio of favorable outcomes(winners)to all outcomes of the event(possibilities)

### probability(p) formula

p=#winners/#of possibilities

### statement

an equation or inequality that is true or false

### like terms

have same variable raised to the same power

a(b+c)=ab+ac

### opposites

#'s that have the same abs value but are on opposite sides of 0 on # line

another word for opposite

+x

-b

+b

### scalar multiplication

multiply a number by a matrix

### reciprocal

the reciprocal of p/c is c/p

### closure property

a set S is closed under the operation ♥ if whenever A and B are in S, A ♥ B is in S

### identity

an equation that is always true

### extraneous solution

a solution that doesn't check

180°

90°

### acute angle

< between 0° and 90°

### boundary algorithm

solve inequality like an equation then test all areas

y=b

x=a

### graph y=ΙxΙ looks like

a V with a slope of 1

a parabola

8:5

### constant

a # standing alone

### coefficient

number in front of variable

### relative frequency

experiment results