SAT prep guide

all formulas, vocab, roots, and rules to know

general test taking rules

• don’t waste too much time on any question

• if ur stuck, mark to double check and move on to other questions

• skip and come back to longer/more time consuming questions

english module rules

1. read question

2. read stimulus (+searching for the answer)

3. eliminate & pick answer choice

• double-check all questions after - no silly mistakes

commas

• seperate list items

• used to enclose nonessential elements from the sentence

• link dependent clauses to independent clauses

• link indep clauses together with a coordinating conjunction

semicolon

• link independent clauses that are highly related in content (WITHOUT a conjunction)

• separate items in a list that already contains commas

colon

• can ONLY come at the end of an independent clause

• introduces a noun, list, or independent clause

• info coming after a colon must expand on/explain what comes before

dashes

• used to seperate nonessential elements (parenthetical material) from a sentence

• used for interjectory material or to introduce a list/explanation at the end of a sentence

paranthesis

• used to enclose nonessential parenthetical information

apostrophe/possession rule

use an apostrophe + s in all cases except:
the noun is plural and ends in S

ex.
singular possession: chris’s book
plural possession: women’s rights
plural posession with noun ending in s: the schools’ curriculum

subject - verb agreement

singular verbs end in -s, plural verbs do not

reading/writing section tips

• check for pronoun agreement

• read the whole passage - don’t skim/read only the part where the question is focused

• check other verbs to make sure the tenses agree

• identify the subject of a verb/word so you can conjugate it to the proper tense/plurality

desmos tools quick guide

• for distance between points
  distance((x, y), (x, y))

• for midpoint
  midpoint((x, y), (x, y))

• for measures of statistics
  mean/median/stdev(a, b, c…)

• when given a table of numbers
  1. add table onto desmos
  2. hit regression symbol: can give slope, equation, y/x intercept

• for constant questions
  1. make custom regression using ~ instead of = to relate both equations
  2. add subscript 1 for x & y

  3. define the range of x1 (just do -10…10)
  4. type in the equation of whatever u need to find/use a constant slider to find answers

• when given a system of equations: add both into desmos and find intersections

• when given any equation: put into desmos and find zeros for solutions/intercepts/points etc.

• 
  

slope of a line formula

m= y2-y1 / x2-x1

slope intercept formula

y=mx+b

point-slope form formula

y-y1 = m (x-x1)

lenght of a circle arc

L = (n/360)2πr

area of a sector formula

A = (n/360)πr²

circle equation

(x-h)²+(y-k)²=r²
r= radius
center = (h, k)

exponential growth/decay

y=a(1±r)^t

a= initial value
r= growth/decay rate (in decimal)
t= time

special right triangles

pythagorean triples

3, 4, 5
5, 12, 13
7, 24, 25
8, 15, 17
(and know mulitiples of these)

perpendicular slope formula

a/b = -b/a

sum of angles in any polygon

sum = 180(n-2)

exponent rules

x^m x^n = x^m+n
(x^m)^n = x^m*n

x^m / x^n = x^ m-n

x^-m = 1 / x^m
x^0 = 1
x^(m/n) = nth root(x^m)

absolute value formula

ex. |x-a|=b = x-a=b and x-a=-b