Math Property Rules and Equations Flashcards

1
Q

Fractions- Numerator or Denominator smaller?

A

When num is equal, the smaller den is larger. When den is equal, the larger num is larger

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2
Q

Reciprocal of 01

A

bigger

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3
Q

Reciprocal of -10

A

smaller

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4
Q

Square of 01

A

smaller

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5
Q

Multiply + by fraction=

A

smaller

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6
Q

Multiply - by fraction=

A

bigger

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7
Q

Odd + Odd

A

Even

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8
Q

Odd + Even

A

Odd

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9
Q

Even + Even

A

Even

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10
Q

Odd * Odd

A

Odd

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11
Q

Odd * Even

A

Even

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12
Q

Even * Even

A

Even

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13
Q

Divisible by 3?

A

sum digits divisible by 3

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14
Q

Divisible by 4?

A

last 2 digits divisible by 4

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15
Q

Divisible by 6?

A

divisible by 2 and 3

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16
Q

Divisible by 9?

A

sum digits divisible by 9

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17
Q

Divisible by 12?

A

divisible by 3 and 4

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18
Q

Ratio Formula

A

% * Whole= Part ; Part/ Whole= %

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19
Q

% Change Formula

A

%= new-original/ original * 100%

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20
Q

Exponents: a^2 + a^3 =?

A

a^2+3 = a^5

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21
Q

Exponents: a^4 / a^2 =?

A

a^4-2 = a^2

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22
Q

Exponents: (a^2)^4 =?

A

a^2*4 = a^8

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23
Q

Exponents: a^0 =?

A

1

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24
Q

Exponents: a^-2 =?

A

(1/a)^2

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25
Exponents: a^1/3 =?
^3 sqrt(a)
26
When can you +/- square roots?
when they have like radicals
27
Factor: a^2 - b^2
(a-b) (a+b)
28
Factor: (a-b)^2
a^2 -2ab +b^2
29
Quadratic Formula
x= [+/- b - sqrt(b^2 - 4ac)] / 2a
30
When does the inequality switch ()?
when you divide or multiple by a negative
31
Distance Formula
d= rate/ time
32
Simple Compound Interest Formula
A= P(1+rt)
33
Compound Interest Formula
A= P(1+r/c) ^tc
34
Functions: what is Domain?
x values
35
Functions: what is Range?
y values
36
Quadratic Equation for Functions
y= ax^2 +bx+c
37
Perpendicular slopes =?
negative reciprocal of slope
38
What shape graph is x^2 + y^2?
circular
39
f(x) +c = shift?
shifts UP C units
40
f(x) - c= shift?
shifts DOWN C units
41
f(x+c) = shift?
shift LEFT C units
42
f(x-c) = shift?
shifts RIGHT C units
43
c* f(x) = shift?
stretch away from x-axis
44
1/c * f(x) = shift?
stretch closer to x-axis
45
Transversal angles are?
a line intersecting 2 parallel lines
46
Complementary angles are?
intersect a right angle
47
Triangle length rule?
c > a-b ; c< a+b
48
Similar triangle means?
same angles
49
Congruent triangle means?
same side lengths
50
Special Right Triangle sides 45-45-90?
3:4:5 & 5:12:13
51
Isosceles Right Triangle sides 45-45-90
1:1: sqrt(2)
52
Special Right Triangle sides 30-60-90
1: sqrt(3) : 2
53
Sum of Polygon Angles Formula?
180 (n-2) ; n= #sides
54
Sum of Quadrilateral Angles?
360
55
Area Parallelogram
b*h
56
Area Trapezoid
average of the parallel sides/ height
57
Semicircle Arc formula
1/2 Circum
58
Arc Length Formula
(n/360) * Circum
59
Area Sector
(n/360) * Area
60
Volume Rectangle
V= l*w*h
61
Surface Area Rectangle
2lw +2lh +2hw
62
Volume Cube
e^3 (l*w*h)
63
Surface Area Cube
6e^2
64
Area Cube
e^2
65
Volume Cyclinder
Pie * r^2* h
66
Surface Area Cyclinder
2(pie*r^2) + 2*pie*r*h
67
P(A or B) Formula?
P(A or B)= P(A) + P(B) - P(A & B)
68
P( A & B) Formula?
P(A&B)= P(A) * P(B)
69
Permutation, order matters
nPk= n! / (n-k)!
70
Combination, order doesn't matter (choose)
nCk= n! / k! (n-k)!
71
Inner Quartile Range (IQR)
IQR= Q3 - Q1
72
Probability of multiple events
Prob of each and Multiply
73
Probability of separate events
Prob of each and Add