Studied by 14 peoplevertex
min or max pt in parabola
minimum point
open upward
maximum point
opens downward
b2 minus 4 ac equals 0
1 solution
disciminant
b2 minus 4 ac
discriminant is negative
no solution
discriminant is positive
2 solutions
standard form shows
shows where parabola opens and c= y int
positive a in parabolic formulas
opens up
negative a in parabolic formulas
opens down
factored form shows
shows x intercepts
vertex form shows
shows vertex
standard formula
ax2 plus bx plus c
vertex formula
a (x-h)2 plus k
factored formula
a (x-b)(x-c)
f(x-c) shift
right c units
f(xplusc) shift
left c units
f(x) plus c
up c units
f(x) - c
down c units
-f(x)
change in y
f(-x)
change in x
linear equation
y=mx+b
distance formula
d = √[( x₂ - x₁)² + (y₂ - y₁)²]
Quadratic Formula
x = -b ± √(b² - 4ac)/2a
Sum of Perfect Squares (a+b)2
(a2 + 2ab +b2
Sum of Perfect Squares (a-b)2
a2 -2ab +b2
dif of perfect square (x2-y2_
(x+ y) (x-y)
x22/x10
x12 (subract divisions)
x3 times x4
x7 (sum multiplications)
(x3)4
x12 multiply exp exp
x-n NEGATIVE EXP RULE
1/xn
neg exp rule 10-2
over 1, reciprocal (switch to 1/10) and pos exp, square base with positive 2! (exp) 1/10 2 = 1/100
fractional exponent 8^2/3
3 square root 8^2 3 cube root of 64
every number over 1/3
cube root rulez
square of x7
x 7/2
25^-3/2
1/25^3/2 = 1/(25^1/2)3
16^5/4
(16^1/4)5
standard deviation
spread
average/mean
sum divided by amt
median
middle or 2 middle (do mean)
mode
most repeated
#A=IrT
I is initial valute , times rate, over time
compound interest
Interest paid on interest previously earned; credited daily, monthly, quarterly or semiannually
interest
A sum paid or charged for the use of money or for borrowing money
a= I (i plus or minus r/n) ^ntimes t
n= number of times interest was compounded
hipotenusa
c2 equals a2 plus b2
right trig?
sohcahtoa
circle formula
(x-h)^2 + (y-k)^2 = r^2
circle area
A=πr²
Circle Circumference
C=2πr
radians to degrees conversion
radians x 180/π
degrees to radians
multiply by pi/180
same slope, different y-intercept
parallel lines/ no solution
Same slope, same y-intercept
infinite solutions same line
Different slope, different y-intercept
one solution
square area
s²
rectangle area
A=lw
triangle area
A=1/2bh
over x axis
(x,y) -> (x,-y)
over y axis
(x,y) -> (-x,y) (reflection)
range
the difference between the highest and lowest scores in a distribution
wp strat
1- read question slowwww and annotate 2- read bite by bite and annotate skim extra 3-rewrite and eliminate 4- find correct answer
volume of a cylinder
area of base x height// base -- pir2
circle problem
put x, 2x and equal that to total
geometry?
1- pithagoras- r triangles 2- sohcatoa - r triangles 3- circles: remember formulas and rules, apply x/2x strat equalling to total same with any shape^^
break even
profits=costs
every linear equation is
a modification of y=x
rate
a measure, quantity, or frequency, typically one measured against some other quantity or measure. eg change in distance over time
wp strat 2
calculate rate. change in y over x/// y2-y1/x2-x1
linear relationships
A relationship that has a straight line graph standard or slope intercept clasique
y int?
plug in all values and calculate for b in formula, m and random x,y valur
quad wp max or min point
find vertex (hk)- factored form
area of a rectangleeeee
btimesh
triangle
b x h / 2
A=ℓw=x(x−2)
always xx order rule
P(t)=P(1+r)t=
tt is the input variable representing the number of time periods elapsed. P is the initial amount of money, or the amount of money before any interest is accrued. r is the interest rate applied for each time period expressed as a decimal.
decimal to percent eg 1.01 (added 1 in formula)
1 plus or minus rate, then multiply times 100 for percent change from decimal to %!!!!= 1
in a t/7.3 exponential word problem...
t indicates how in 7.3 over 7.3 = 1 , the values b4 it willl lose or gain () value.
exponent conversion to smaller unit wp eg
Tip: If converting the variable from a larger time unit to a smaller time unit, we need to make the exponent smaller. For example, when converting from years to months, we divide the variable representing the number of months by 121212.
exponent cnversion to bigger unit wp eg
Tip: If converting the variable from a smaller time unit to a larger time unit, we need to make the exponent larger. For example, when converting from months to years, we multiply the variable representing the number of years by 121212. Verify that the two expressions give us the same values when evaluated using equivalent amounts of time, e.g., 111 year and 121212 months, 222 years and 242424 months, etc.
nearest whole number
redondear
if a wp gives you that the rate is blah blah for every increase in blah blah that means they are giving u..
the m value (put number over number in fraction form)
alwayyss
2x check or put in review (guessed)
lin eq wp
1-read slowly 2-annotate along the way words to math!!
of
multiply
per
divide
shortcut what is 25% OF 364
91! (TURN INTO DECIMAL-- MULTIPLY)
PERCENT CHANGE
old-new/old x 100
round to nearest tenth eg:
0.4
always
focus on problem, skip if too timeconsuming remember strat
percent strats
1- rule of 3 2- % change formula 3- equations eg: h=.75a etc
x1 plus x1
2 x 1
polynomials factoring
biggest possible numbers and variables
inequalities with absolute values
isolate absolute valuek, resolver cmo en escuela
no idea in linear equations??
if value eg 15,0 (plug x for 15, 0 in y and get letter strat)
geometry strat 2 congruence
check for what the problem is telling u: equilateral, isosceles
ax2 plus bx plus c method
calculator or::
multiply for ac not just c substract/sum b!!! take into mind- product si es negativo uno es positivo!!
similar triangles
same ratios! --corresponding angles,etc
congruent triangles
2 triangles are congruent if and only if all pairs of corresponding sides and angles are congruent / equals. rotate and match to find angle
graph equations
check if every answer is right (not just for 1)
Note
Flashcard