Section 1
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Combination equation
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Last updated
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Date created
Mar 14, 2020
Cards (133)
Section 1
(50 cards)
Combination equation
n!/r!(n-r)! OR
Arc length and degree equation
((length of arc)/(circumference))/((degree of measure of arc)/(360))
7/8
0.875
Quadratic formula
x = -b ± √(b² - 4ac)/2a
Multiplier for p% decrease
1- (P% as decimal)
Prime numbers
2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59
Probability equation if E and F are independent
P(E)P(F)
(n+1)^2
n^2+n+(n+1)
Number of diagonals formula
N(side)-3
Sequence of all positive numbers odd numbers
An=2n-1
13x2
26
1/8
0.125
Is 1 prime
No
13x4
52
X^0
1
1/6
0.1666...
sum of more than formula
(n-2)180degree
Rule about prime factorization and perfect square
Each prime factor needs to have an even exponent
Nth term of an arithmetic sequence with initial term a1 and common difference d
an=a1+(n-1)d
Number of x to y integers inclusive
y-x+1
1/9
0.111
13x6
78
13x7
91
13x8
104
1/20
0.05
Multiplier for p% increase
1+ (P% as decimal)
Probability equation if E and F are mutually exclusive
P(E) + P(F)
Area of circle and angle of s
((S)/(area of circle)/(angle of S)/(360))
5/8
0.625
All positive integer
An=N
Horizontal line of parallelogram
a^2 + (b-d)^2 = c^2
Area of circle
A=πr²
7/9
0.777...
Divisibility rule for 9
the sum of digits is divisible by 9.
3/8
0.375
An=3^n
Sequence of all powers of 3
13x3
39
An=7n
Sequence of all perfect squares
nC2
n(n-1)/2
Diagonal line for 3D rectangular solid
√(w^2 + h^2 + l^2)
13x9
117
Algebraic expression
|E| = K E=K, E=-K
5/6
0.8333
1/7
0.143
Number of triangles formula
n-2
14x14
196
Sum of sequences
(N(n+1))/2
Probability equation P(E or F)
P(E) + P(F) - P(E and F)
13x5
65
Compounding interest
principal * (multiplier)^years
Section 2
(50 cards)
Time shifts
Once, then, now, at first
Algebraic equation
Solve for specific values
Which interior angle will be the largest in a triangle?
The opposite of the largest side
Relationship between squares, factors, and exponents?
The prime factors of a square have even exponents. Therefore, factors with even exponents = number is a perfect square.
Distance of x from +p
|x-p|
Apples aren't Oranges fallacy
What works for one town won't work for another town. Maybe they are not same for different reasons.
Finding LCM
Find GCF, then find out what number you must times it by to get the each number, then multiple all three numbers
Not all X are alike fallacy
Assuming a certain group is similar to another group. But there could be subtle differences
Finding GCF
Figure out factors of each number and the commonalities between the two
Rule about LCM and GCM
If x = GCD of A & B and y = LCM of A & B, then AB = xy.
Are squares the only one with an odd number of factors?
Yes
Assuming Cause and Effect
There could be other factors to make the conclusion
Double shifts
Notwithstanding, despite, nonetheless
Multiplying evens and odds
If there's at least one even factor, then it's even. The only way a product is odd is if every factor is odd.
What is the relationship between a factor and divisor?
They both the same number.
Square of a Sum
(a+b)^2 = a^2 + 2ab + b^2
O/E
Never an integer
Numbers of E and O in a set of 3 consecutive integers
2E, 1 O; 2O, 1E
Inclusive counting
Subtracting excludes the last term, so add 1 to include it.
Common difference
Fixed amount you add to each term to get the next in an arithmetic sequence
Can you subtract inequalities in the same direction?
No general rule
Don't Trust a Survey
Just because a survey said something, doesn't mean that it's true. Doesn't represent the entire population.
However
Reverser
Vague Language
How do you quantify by certain terms? What does it mean? What does something must be done to make it less vague?
O/O
O or not integer at all
E/E
E, O, or not integer at all
If n is odd, then the sum of a set n consecutive numbers
Will always be divisible by n
Sentence Shifts
Though, although, but, comma, word should be opposite
Dividing evens and odds
No rules.
Number of E and O in a set of 4 consecutive integers
2E, 2O
Sum of list
sum = (N/2)(A,first+A;last) is number of pairs which you get by N2+N1+1/2
Any even power of x
Is the square of another power. Ex. (x^5)^2
Elaboration sentence
Hypen, colon, semi-colon, 'indeed'
Can you subtract inequalities in the opposite direction?
Yes
Can you multiply or divide inequalities?
No general rule.
Adding and subtracting evens and odds
If add or subtract "likes" then even, if "different" then odd.
A set of n consecutive integers
Will always have on number divisible by n
Negative base less than -1 and increasing powers
Absolute values getting bigger, +/- are alternating
Square of a Difference
(a-b)^2 = a^2 - 2ab + b^2
Things Change Fallacy
Assume things before will work today. Economy changes?
Algebraic expression
Find or use patterns true for all numbers. Don't have equal signs.
Numbers and percentage assumptions
Math errors, percentage may be lower even if there is "more" amounts
Can you add inequalities in different directions?
No general rule
Distance of x from -p
|x+p|
Is zero even or odd?
Even
Does a perfect square have even or odd number of factors?
Odd
Can you add inequalities in the same direction?
Yes
Apposition
Two words, usually adjectives follow one another. Words are similar/related
E/O
Could be E or not integer at all
Property of equilateral triangle
60 degrees on three sides, find area by split down the middle to create a 30-60-90 triangle
Section 3
(33 cards)