math honors exam stuff

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Created by:

gymnast73  on December 12, 2010

Subjects:

algebra 1 honors

Description:

stuff for our exam -cutbirth

Classes:

westminster kids, WESTMINSTER PEEPS!!!, westminster 10th grade, Westminster!!!, Westminster 8th grade chat room

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math honors exam stuff

pythagorean theorem
a²+b²=c²
1/78
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Definitions

pythagorean theorem 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
distance and rate formula d=rt
slope formula rise/run
standard form Ax+By=C
point-slope form y-y₁=m(x-x₁)
slope-intercept form y=mx+b
intercept form x/a+y/b=1
ordinate y axis
abssisica x axis
collinear in the same line
slope of vertical line no slope(undefined)
slope of horizontal line slope=0
sum of all angles in a Δ 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
√x²= ΙxΙ
natrual(n) #'s 1,2,3,...
whole(w) #'s 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
real(R)#'s rationals U irr
formula for all diagonals n(n-3)/2
solve: ΙyΙ=-2 no solution
A of a circle formula A=πr²
A of a rectangle/square A=LW
A of triangle formula 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
order of operations PEMDAS
A of a trapezoid formula 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
ordered pair(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
distributive property of multiplication over addition a(b+c)=ab+ac
opposites #'s that have the same abs value but are on opposite sides of 0 on # line
additive inverse another word for opposite
--x= +x
+x*-x= -b
-x*-x= +b
even # of -'s you get... a positive(+) answer
odd # of -'s you get... a negative(-) answer
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
straight angle 180°
right angle 90°
acute angle < between 0° and 90°
boundary algorithm solve inequality like an equation then test all areas
equation of horizontal line y=b
equation of vertical line x=a
graph y=ΙxΙ looks like a V with a slope of 1
graph y=x² a parabola
if 5x=8k whats the ratio of x to k? 8:5
constant a # standing alone
coefficient number in front of variable
relative frequency experiment results

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