Majorship

Front 1

General Form

Back 1

ax + by + c = 0

Front 2

Standard Form

Back 2

ax + by = c

Front 3

Slope intercept form

Back 3

y = mx + b

Front 4

One point intercept Form

Back 4

(y - y1) = m (x - x1)

Front 5

Two point intercept Form

Back 5

(y - y1) = [ (y2 - y 1) / (x2 - x1) ] (x - x1)

Front 6

x and y intercept form

Back 6

(x / a ) + (y / b) = 1

Front 7

Solving Linear equation

Back 7

Elimination or substitution

Front 8

Math of Investment (Discount and Mark up)

Back 8

( P / RB )

Front 9

1 minute

Back 9

60 seconds

Front 10

1 hour

Back 10

60 minutes

Front 11

1 day

Back 11

24 hrs

Front 12

1 week

Back 12

7 days

Front 13

1 month

Back 13

28/29/30/31 days

Front 14

1 year

Back 14

12 months

Front 15

1 decade

Back 15

10 years

Front 16

1 score

Back 16

20 years

Front 17

I century

Back 17

100 years

Front 18

1 millenium

Back 18

1000 years

Front 19

1 day

Back 19

86,400 seconds

Front 20

Actual Time

Back 20

Exact time, day, month, year

Front 21

Approximate time

Back 21

Month is always 30 days/ year 365

Front 22

Months with 30 days

Back 22

JANS - June, April, Nov, Sep

Front 23

Simple Interest

Back 23

I = Prt

Front 24

Final Value

Back 24

F = P [1 + (r/n)^2]

Front 25

Promisory note

Back 25

Pag di nakabayad agad

Front 26

Logic and Set Theory

Back 26

Gottried Leibniz / George Buole

Alfred Northwhitehead and Bertrand Rusell (Principia Mathematica)

Front 27

Proposition

Back 27

Can be true or false but not at the same time

Front 28

Declarative sentence

Back 28

Can be true and false

Front 29

Type of proposition

Back 29

Single - one idea

Compound - with connectives

Front 30

Logical connectives

Back 30

Conjunction ∧ and

Disjunction ∨ or

Negation ~ Not

Conditional ↦ If then

Bi conditional ↤↦ if and only if

Front 31

set

Back 31

collection of element

Front 32

Sum of Interior Angles

Back 32

I = (n-2) x 180°

Front 33

Sum of exterio angles

Back 33

E = 360°

Front 34

Measurement of each Interior angle

Back 34

I = [(n-2) x 180°] / n

Front 35

Measurement of each exterior angle

Back 35

360°/n

Front 36

Diagonals

Back 36

[ n (n-3) ] / 2

Front 37

Area of a sector

Back 37

A = πr^2 (θ/360)

Front 38

Area of a segment

Back 38

A = (θ/360) - 1/2r^2 sinθ

Front 39

Perimeter (Square)

Back 39

P = 4s

Front 40

Rectangle P

Back 40

P = 2L + 2w

Front 41

Parallelogram P

Back 41

P = 2(l + w)

Front 42

Circle P

Back 42

P = πd

P = 2πr

Front 43

Polygon P

Back 43

P = a + b + c +...

Front 44

Square A

Back 44

A = s^2

Front 45

Rectangle A

Back 45

A = l x w

Front 46

Parallelogram A

Back 46

A = bh

Front 47

Rhombus A

Back 47

A = bh

Front 48

Traingle A

Back 48

A = 1/2 (bh)

a = 1/2 sin C

Heron's Formula

A = √s (s-a) (s-b) (s-c)

Front 49

Ttapezoid A

Back 49

[ (b1 + b2)/2 ] (h)

Front 50

Circle A

Back 50

A = πr^2

Front 51

Edges

Back 51

F x 2

- 1 starts from odd prism (Triangular Prism)

Add 2 after one odd prism

+ 1 Pentagonal Prism

+ 0 starts from even Prism (cube)

Add 2 after one even Prism (Hexagonal Prism)

Front 52

Vertices

Back 52

Odd Prism

F + 1 (Triangular Prism) start with 1

F + 3 (Heptagonal Prism) add 2 for every odd prism

Even Prism

F + 2 (Cube) start with 2

F + 4 (Hexagonal Prism) add 2 for every even prism

Pyramids Same as FacesF = V

Same as Faces

F = V

Front 53

Cone

Back 53

Faces - 2

Edges - 1

Vertices - 1

Front 54

Cylinder

Back 54

Faces - 3

Edges - 2

Vertices - 0

Front 55

Sphere

Back 55

Faces - 1

Edges - 0

Vertices - 0

Front 56

Square Pyramid

Back 56

LSA = 2bs

TSA = b^2 + 2bs

V = V 1/3 b^2h

Front 57

Pentagonal Pyramid

Back 57

LSA = 5/2bs

TSA = (5ab/2) + 5/2bs

V = (5abh)/6

Front 58

Cylinder

Back 58

LSA = 2πrh

TSA = 2πr^2 + 2πrh

V = πr^2h

Front 59

Cone

Back 59

LSA = πrs

TSA = πr^2 + πrs

V = 1/3πr^2h

Front 60

Sphere

Back 60

LSA = 2πrh

TSA = 4πr^2

V = 4/3πr^3

Front 61

Disrance Formula

Back 61

d = √(x2 - x1)^2 + (y2 - y1)^2

Front 62

Distance of Three Dimensions

Back 62

√(x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2

Front 63

Circle

Back 63

x^2 + y^2

Front 64

Ellipse

Back 64

x^2 + 3y^2

Front 65

Parabola

Back 65

x^2 or y^2

Front 66

Hyperbola

Back 66

-2x^2 + y^2

Front 67

Angle between two lines

Back 67

tan θ = | (m2 - m1) / 1 + m1m2

Front 68

Standard Equation of Circle

Back 68

x^2 + y^2 = r^2

Front 69

Standard Equation of Parabola

Back 69

Vertical axis (x ang may squared)

(x - h)^2 = 4p (y-k), p≠0

Horizontal axis (y ang may squared)

(y - k)^2 = 4p (x - h)

Front 70

Standard equation of Ellipse

Back 70

Vertical axis (b squared ang una)

{[(x - h)^2]/ b^2 + [(y - k)^2]/a^2} = 1

Horizontal axis (a squared ang una)

{[(x - h)^2]/ a^2 + [(y - k)^2]/b^2} = 1

Front 71

Standard Form for Hyperbola

Back 71

Vertical axis (y squared ang una)

{[(x - h)^2]/a^2 - [(y - k)^2]/b^2} = 1

Horizontal axis (x squared ang una

{[(x - h)^2]/a^2 - [(y - k)^2]/b^2} = 1

Front 72

Eccentricity for Ellipse

Back 72

(x^2/a^2) + (y^2/b^2) = 1

or

(x^2/b^2) + (y^2/a^2) = 1

Front 73

Value of e

Back 73

e = (√a^2 + b^2 )/a e > 1

Front 74

Raw score to standard Form

Back 74

z = (rawscore - mean)/sd

Front 75

Standard score to raw score

Back 75

x = 2sd + mean

Front 76

T test use when n <30

Back 76

t = (Population mean - mean) / (s/√n)

s - sd

n - sample size

Front 77

Z test use when n > 30

Back 77

z = (Population mean - mean) / (sd/√n)

sd - in Parameter

Front 78

Probability

Back 78

n/s

n - preferred outcomes

s - outcomes

Front 79

Joint Probability

Back 79

P(A^B) - multiply

Front 80

Mutually exclusive events

Back 80

P (AνB) = P(A) + P(B)

Front 81

Not mutually exclusive events

Back 81

P(AνB) = P(A) + P(B) - P^B)

Front 82

Comditional Probability

Back 82

P(A\B) = [P(A^B)]/P(B)

Front 83

Standard Deviation

Back 83

Mode3 1 (insert value) AC shift1 Var4 4 =

Front 84

Determinant

Back 84

Mode6 (size of matrix) AC shift4 7 shift4 3 =

Front 85

sine law (AAS, ASA, SSA)

Back 85

(a/sin A) = (b/sinB) = (c/sinC)

Front 86

Cosine Law (SSS, SAS)

Back 86

c^2 = a^2 + b^2 - 2abcosc

Front 87

Cofunction identities

Back 87

sin θ = cos(π/2 - θ)

cos θ = sin(π/2 - θ)

sec θ = csc (π/2 - θ)

csc θ = sec (π/2 - θ)

tan θ = cot (π/2 - θ)

cot θ = tan (π/2 - θ)

Front 88

Pythaforean Identities

Back 88

cos^2θ + sin^2θ = 1

1 + cot^2θ = csc^2θ

1 + tan^2θ = sec^2θ

Front 89

Quotient Identities

Back 89

tanθ = sinθ/cosθ or y/x

cotθ = cosθ/sinθ or x/y

Front 90

Reciprocal Identities

Back 90

sinθ = 1/cscθ

cscθ = 1/sinθ

cosθ = 1/secθ

tanθ = 1/cotθ

cotθ = 1/tanθ

Front 91

Even and odd identities

Back 91

sin (-θ) = -sinθ

csc (-θ) = -cscθ

tan (-θ) = -tanθ

cot (-θ) = -cotθ

cos (-θ) = cosθ

sec (-θ) = secθ

Front 92

Ptolemy's Identities (Cosine)

Back 92

Sum formula

cos(A + B) = (cosAcosB) - (sinAsinB)

Differnece Formula

cos(A - B) = cosAcosB + sinAsinB

Front 93

Ptolemy's Identities (Sine)

Back 93

Sum Formula

sin(A + B) = sinAcosB + cosAsinB

Difference Formual

sin(A -B) = sinAcosB - cosAsinB

Front 94

Ptolemy's Identities (tangent)

Back 94

Sum formula

tan(A + B) = (tanA + tanB) / (1-tanAtanB)

Difference formula

tan(A - B) = (tanA - tanB) / (1+tanAtanB)

Front 95

Double angle formula

Back 95

sin (2θ) = 2sinθ cosθ

cos(2θ) = cos^2 - sin^3

= 1 - 2sin^2θ

= 2cos^2θ - 1

tan(2θ) = (2tanθ) / (1-tan^2θ)

Front 96

Trigonometric ratio positive position

Back 96

Q1 - ALL

Q2 - SINE

Q3 - TAN

Q4 - COS

Front 97

Actual angle

Back 97

Q2

aθ = 180 - rθ

Q3

aθ = 180 + rθ

Q4

aθ = 360 - rθ

Front 98

Graphs of trigonometric function

Back 98

Sine

Asin (Bx - C) + D

Cosine

Asin (Bx - C) + D

A- amplitude (height)

B - will he substitute to 2π/b to find B

C - Phase shift (left or right)

D - Vertical shift (up or down)