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Summary SAT Math Guide to UNDERSTAND Every Problem
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This document includes all formulae and steps you may need to solve any SAT problem. Everything is explained to help you be able to UNDERSTAND the problems as the SAT slowly changes up the test, new problems arise. This ensures that you won't be stuck on a question you've never seen a variation of.

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  • Yes
  • September 14, 2022
  • 9
  • 2022/2023
  • Summary

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SAT NOTES

,M Gf h Mr =
important formula to know




always check answers

that involve
fraction
x in a
root
.
/ value /
,
or

☆
remember there are

useful formulas at
the of math
beginning
☆
sections

,F
1. Exponents & Radicals


Exponent Laws x '=x 31--3 SAT also tests on simply ing square roots .
factor out the number inside & ta
Out pairs
0--1 30=1
.




✗


for xm >cn=xm+n 34-35--39 48=2.2 2.2.3 =
(2. 2) (2.213--2-23=453
*
equations
-
.


. . .




7cm "
to go backwards take the number outside & put it back in
ALWAYS CHECK = >cm
-
n
=3 ,
as a pair
µ
SOLUTIONS !
4cm /h=xmn (3214=38 6 2 = 2- ( 6. 6) =
72


tryin xmym __ 12.313=23×33
to simplify a cube root takeout triplets
i¥M=¥mi÷i=÷
.




316 =3 (2.2-2)-2=232

x_m=÷m 3-4=34

2. Percent -

when you don't know the total # ofsmth ,
use 100 to makeup total


% of total find total of all after percentage & divide
by total
if 1. ↑
-


if -


1. ↓

Series of % change let P' be
'

original price then . finat-pxixio.liio.gl NEVER calculate the changes at each step
string the changes together to get the final res


Compound Interest compound interest he the account 't timeframe
'

an x 1. -
means earns >ii. on once a
↳ not from but 3% of what is in account
total accum -_ Pll -1×51 iaf ,




✗ gains
new " " " " "ᵈ """
"'"
change ↑ /↓ % change change is always based original value positive 1. increas
__

% %
'

__
on
old value
negative 1. decrea
-

__




↳ less looses
,




3. Exponential us .
Linear Growth infixes :/ ifieftwit
too -
i.



Tva/ ueorl.sc/.tvalueor
Exponential Growth
yooo .im#oftimeperiod
-
×


)tÉif
tim
'
>'
every
& Decay when a quantity grows periodically by a factor / final quant
__
initial /growth period
'




shrinks
✓
if it > ,
use

k&t must have the t this wil
Linear Growth growth __ linew positive slope '
y=mx+b / linearis consistent a
same unit
Égive ev
rate of change from initial period
y=-mx+b /
✗
&
Decay decay rrrnegative -




Associations both decays have a negative association between two things .
as one thing ↑ ,
the other t
'

-
growths ~ positive mur mur


a strong association -4 -
occurs when data points are close to forming a line .




4. Rates


'◦◦ ¢
Conversion Factors multipliers to help go from one set of units to another e. g. $1
•
setup the right sequence inappropriate numerators & denominators



5. Ratio & Proportion

Ratios there arefor every 2x
2x :y= there is ly this can be expressed as
2"
,
y
.




•
similar to rates this is , basically a conversion factor

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