SAT MATH (copy)

vertex

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)