Pre-Algebra / Misc Math / Statistics Flashcards

1
Q

DDX

A

Denominator X Denominator, Cross Multiply

operations on dissimilar fractions (+/-)

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2
Q

of

changing questions to equations

A

x

multiply

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3
Q

is

changing questions to equations

A

=

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4
Q

what

changing questions to equations

A

N

unknown

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5
Q

arithmetic sequence formula

to get nth term of sequence

A

an = a1 + (n-1)d

a1 = first term
n = number of terms
d = common difference

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6
Q

arithmetic sequence shortcut

number of terms

A

(last term - first term) / common difference
+ 1

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7
Q

arithmetic sequence shortcut

average of all terms

A

(last term + first term) / 2

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8
Q

arithmetic sequence shortcut

sum of all terms

A

(last term + first term) / 2
x number of terms

average x number of terms

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9
Q

calculating page numbers

inclusive of pages

A

last page - first page + 1

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10
Q

calculating page numbers

exclusive of pages

A

last page - first page - 1

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11
Q

how to get root of decimal

A
  • drop decimal points
  • perform root operation
  • divide decimal places of orig by index of root to get dp of final answer
  • move decimal point accordingly
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12
Q

DOST

A

Distance Over Speed / Time

used for distance problems

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13
Q

Percent Something

A

something / original
x 100

used to get the percent of a number from the original

same as PERCENT INCREASE
- increase / orig x 100

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14
Q

JUTSU

Jepjep’s Ultimate Technique, Super Ultimate

A
  1. repeating or non-repeating
  2. order important or not

used in permutation and combination questions

order important: SAD (sequences/seats, arrangements, digits)
order Not important: GC (group, choose/select)

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15
Q

JUTSU

combination formula

Jepjep’s Ultimate Technique, Super Ultimate

A

answer in R/NR /
blank!

blank! = number of blanks factorial

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16
Q

trends on fractions

same denominator

A

higher numerator
higher fraction value

directly proportional

17
Q

trends on fractions

same numerator

A

higher denominator
lower fraction value

indirectly proportional

18
Q

Compound Interest Formula

A

A(t) = P(1+r/n)^nt

P : principal
r : rate of interest (convert % to decimal)
n : compounding process (annual, monthly, etc.)
t : time

19
Q

UTOT Techinque

Simple Interest Formula

A

I = Prt

P : principal
r : rate of interest (convert % to decimal)
t : time

20
Q

A ∪ B

a union b

Sets Theory

A

A+B - A∩B

union : or
ornion

21
Q

A ∩ B

a intersection b

Sets Theory

A

A+B - A∪B

intersection: and
andtersection

22
Q

Golden Average Rule

don’t average the average

A

final ave = total sum / total n

total sum = average x n

23
Q

Average Speed

don’t average the average
speed is average

A

ave. speed = total distance / total time

24
Q

pigeonhole principle

A

worst case scenario + 1

can be used in minimum number of students or minimum number of draws

25
Q

geometric sequence

A

sequence with common ratio

a number is multiplied or divided to each term to get the next one

26
Q

percentile, docile, and quartile formula

percentile : divides data set into 100 parts
docile : divides data set into 10 parts
quartile : divides data set into 4 parts

A

L = j/k
x N

L : observation at certain location
j : location under percentil/docile/quartile
k : division of data set
N : population or sample size

27
Q

mean

measure of central tendency

A

average

28
Q

median

measure of central tendency

A

middle value when data set is arranged from lowest to highest

29
Q

mode

measure of central tendency

A

most common value

number that appeared the most times

30
Q

probability formula

A

P = number of desired / total outcomes