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258 Cards in this Set
 Front
 Back
Positive X Negative = ?

Negative


Negative X Negative = ?

Positive


Positive / Negative =

Negative


Negative / Negative =

Positive


Odd + Odd =

Even


Even + Even =

Even


Odd  Odd =

Even


Even  Even =

Even


Odd + Even =

Odd


Odd  Even =

Odd


Even x Odd =

Even


Even x Even =

Even


Odd x odd x odd x ... =

Odd


Odd / Even =

Not an Integer


Even / Odd =

Even (or a fraction)


Odd / Odd =

Odd (or a fraction)


Final Value [given X percent change) =

(1 + X%/100)Initial Value


% change [given Final and Initial values] =

(FI)/I x 100


Simple Interest: R =

R = P X (1 + rt)


Compound Interest: R =

R = P X (1+ r/n)^nt
(^nt indicates nt is an exponent) 

X^a * X^b =

X^(a+b)


x^a / x^b =

x^(ab)


x^a * y^a =

(xy)^a


(x/y)^a =

x^a / y^a


(x^a)^b

x^(ab)


0! = ?

1


1! = ?

1


2! = ?

2


3! =

6


4! =

24


5! =

120


6! =

720


7! =

5040


x^a

1 / x^a


x^0 =

1, unless x = 0


nPk =
Permutations (order matters) with n options for k slots 
n! / (nk)!


nCk =
Combinations (order does not matter) with n options for k slots 
n! / (nk)!k!


nPk =
Permutations (order matters) with identical objects k sub i n is the total number of objects and ki is the number of objects of the ith kind 
n! / k1!k2!...kn!


Arrangements in a circle of nonidentical things =

(n1)!
With two different types of things (men & women) it is (m1)!w! (only one "anchor" needed) 

Probability is?

number of ways the particular something can happen divided by the number of ways that anything can happen


x^(a/b) =

b√(x^a)
[b root of x to the a power] 

n√x =
[nth root of x] 
x^(1/n)
[x to the 1/n power] 

Quadratic Formula ?

x = (b+/√(b^24ac))/2a


Area of a triangle?

A = 1/2 bh


Sum of the angles of a triangle?

180 deg


The sum of the lengths of any two sides of a triangle is _____ than the length of the third?

longer


454590 triangle has what relationship between its sides?

11√2


306090 triangle has what relationship among its sides?

1√32


Right triangle: 34___

5


Right triangle: ___ 810

6


Right triangle: 5___13

12


Right triangle: 1024____

26


Right triangle: ___2425

7


Right triangle: 8__17

15


Equation of a line:

y=mx+b


slope of a line equals?

m=(y2y1)/(x2x1)


xintercept of a line =

b/m


Area of a rhombus (all sides equal, opposite angles equal, perpendicular diagonals)?

A=1/2(d x d)
d = diagonal 

Area of a trapezoid (one pair of sides parallel [sides a and c])

A=1/2(a+c)h


Area of a parallelogram (opposite sides equal and parallel, opposite angles equal)?

A=bh


Measure of all angles of a regular polygon?

(n2)180


Measure of any interior angle of a regular polygon?

(n2)/n ∗ 180


pi ≈ ? (fraction)

22/7


Area of a circle?

A=πr^2


Relationship between central angle and arc?

L/(2πr) = α /360 deg


Area of a sector of a circle?

A = (α/360) πr^2


Inscribed angle = ?

1/2 central angle


Definition of Central Angle?

An angle in a circle which uses the center of the circle as its vertex.


Definition of Inscribed Angle?

An angle formed by two chords within a circle. Its vertex is on the circle. The measure of an inscribed angle equals 1/2 the measure of its arc.


Diagonal of a cube =

√3 * length


Diagonal of a rectangular solid?

D = √(l^2 + w^2 + h^2)


Volume of a cylinder?

V = π(r^2)h


Surface area of a cylinder?

A = 2πrh +nπr^2, n= 0,1, or 2


Volume of a sphere?

V = 4/3 πr^3


Surface area of a sphere?

A = 4πr^2


Exponential growth formula?

F = Ia^n


Compound interest formula?

Earnings = Investment x (1+rate)^t
t= no. of periods 

Average?

Add 'em all up and divide by the number of things added.


Standard Deviation formula?

σ = square root of the sum of the differences between each number and the mean, squared, divided by the number of numbers.
√((∑(ximean)^2)/n) 

Permutation formula (order matters)?

nPk = n!/(nk)!


Combination formula?

nCk = n! / (nk)!k!


Possible circular arrangements of n items?

(n1)!


P(A ∩B) =
Intersection of independent events (and) 
P(A) * P(B)


P(A∩B) =
Intersection of dependent events (and) 
P(A)*Pa(B) or P(B)*Pb(A)


P(A∪B) =
Union of two overlapping events (or) 
P(A) + P(B)  P(A∩B)


P(A∪B∪C) =
Union of three overlapping events (or) 
P(A)+P(B)+P(C)P(A∩B)P(A∩C)P(B∩C)+P(A∩B∩C)


12 x 6

72


12 x 7

84


12 x 8

96


12 x 9

108


12 x 12

144


12 x 11

132


13 x 4

52


13 x 5

65


13 x 6

78


13 x 7

91


13 x 8

104


13 x 9

117


13 x 11

143


13 x 12

156


13 x 13

169


14 x 3

42


14 x 4

56


14 x 5

70


14 x 6

84


14 x 7

98


14 x 8

112


14 x 9

126


14 x 11

154


14 x 12

168


14 x 13

182


14 x 14

196


15 x 5

75


15 x 6

90


15 x 7

105


15 x 8

120


15 x 9

135


15 x 11

165


15 x 12

180


15 x 13

195


15 x 14

210


15 x 15

225


1/6 =

0.166...


5/6 =

0.833...


1/8 =

0.125


3/8 =

0.375


5/8 =

0.625


7/8 =

0.875


1/9 =

0.111...


2/9 =

0.222...


17/20 =

0.85


1^2 =

1


1.4^2 ≈

2


1.7^2 ≈

3


2^2 =

4


3^2 =

9


4^2 =

16


5^2 =

25


6^2=

36


7^2 =

49


8^2 =

64


9^2=

81


11^2 =

121


12^2=

144


13^2 =

169


14^2=

196


15^2=

225


16^2=

256


17^2=

289


18^2=

324


19^2 =

361


21^2=

441


22^2=

484


23^2=

529


24^2=

576


25^2=

625


√1 =

1


√2 ≈

1.4


√3 ≈

1.7


√4 =

2


√9 =

3


√16 =

4


√25 =

5


√36

6


√49

7


√64 =

8


√81

9


√121

11


√144

12


√169

13


√196

14


√225

15


√256

16


√289

17


√324

18


√361

19


√441

21


√400

20


√441

21


√484

22


√529

23


√576

24


√625

25


2^(3)

1/8


2^(2)

1/4


2^(1)

1/2


2^0

1


2^2

4


2^3

8


2^4

16


2^5

32


2^6

64


2^7

128


2^8

256


2^9

512


2^10

1024


3^(3)

1/27


3^(2)

1/9


3^(1)

1/3


3^0

1


3^1

3


3^2

9


3^3

27


3^4

81


3^5

243


3^6

729


3^7

2187


3^8

6561


3^9

19,683


3^10

59,049


1^3

1


2^3

8


3^3

27


4^3

64


5^3

125


3√1
(cubed root of 1) 
1


3√8
(cubed root of 8) 
2


3√27
(cubed root of 27) 
3


3√64
(cubed root of 64) 
4


3√125
(cubed root of 125 
5


0!

1


1!

1


2!

2


3!

6


4!

24


5!

120


6!

720


7!

5,040


Shortcut for the sum of consecutive integers?

1. Average the first and last term to find the middle point or term
2. Derive the total # of terms 3. The sum = middle point * # of terms 

Positive x Negative =

Negative


Negative x Negative =

Positive


Positive ÷ Negative =

Negative


Negative ÷ Negative =

Positive


Odd + Odd =

Even


Even + Even =

Even


Odd  Odd =

Even


Even  Even =

Even


Odd + Even =

Odd


Odd  Even =

Odd


Even x Odd =

Even


Even x Even =

Even


Product of an even integer with any other integer is ?

Even


Product of ALL odd integers is?

Odd


Odd ÷ Even ≠

Integer


Even ÷ Odd =

Even (or Fraction)


Odd ÷ Odd =

Odd (or Fraction)


Divisibility test for 2:

last digit divisible by 2


Divisibility test for 3:

sum of digits


Divisibility test for 4:

last two digits


Divisibility test for 5:

Last digit 0 or 5


Divisibility test for 6:

test for 2 AND 3


Divisibility test for 8:

last three digits
(remember powers of 2 > 64, 128, 256, 512, 1024, etc.) 

Divisibility test for 9:

sum of digits


Divisibility test for 12:

test for 3 AND 4


Divisibility test for 14:

Test for 2 and 7


Divisibility test for 15:

Test for 3 and 5


Do Not Multiply Out Intermediate Calculations

Simplify later


X^2Y^2 =

(X+Y)(XY)
