Rules Flashcards

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1
Q

Order of operation

A

PEMDAS Parentheses, exponents, multiplication, division, addition, subtraction

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2
Q

Pythagorean triples

A

3,4,5

6,8,10

5,12,13

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3
Q

Average Speed =

A

Total Distance : Total Time

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4
Q

Total Distance =

A

Total Time x Average Speed

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5
Q

Total Time =

A

Total Distance : Average Speed

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6
Q

divided by 3?

A

If its digits add up to a multiple of 3

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7
Q

divided by 4?

A

If its last two digits are a multiple of 4

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8
Q

divided by 6?

A

If it is a multiple of both 2 and 3

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9
Q

divided by 9?

A

If its digits add up to a multiple of 9

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10
Q

First ten Prime Factors

A

2, 3, 5, 7, 11, 13, 17, 19, 23, 29

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11
Q

The least common multiple (smallest common multiple of two integers)

A

(1) determine prime factorization of each (2) write each prime number the maximum times it appears in one of the factorizations (3) multiply prime numbers

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12
Q

The average of consecutive numbers

A

Average of smallest and largest numbers

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13
Q

Simple Interest formula

A

Principle x Rate x Time

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14
Q

The Work Formula

A
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15
Q

Work Formula for Two

A
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16
Q

Degree measure of polygon with n sides

A
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17
Q

negative and fraction exponents

A

Negative exponent is the reciprocal of the number with a positive exponent.

Fraction exponent is the root of the number (1/2 is square root, 1/3 cube root, etc.)

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18
Q

Radical games

A
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19
Q

Equation of Lines (on coordinate)

A

y = mx + b

m = slope

a = x intercept

b = y intercept

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20
Q

Coordinate Line Slope

A

m = change in y / change in x

21
Q

Greatest Common Factor of two numbers

A

(1) Prime factorize both integers
(2) Choose all prime factors they have in common
(3) Multiply

22
Q

Comparing Fractions

A
23
Q

FOIL Method

A

Products of First, Outer, Inner, and Last terms

24
Q

Factoring Polynomials

A

The sum of the two missing terms will be the second term, and their product will be the last term.

25
Q

Mode

A

The term that appears most frequently in a set

26
Q

The Permutation Formula

(order doesn’t matter)

A
27
Q

Exterior Sides of Triangles

A
28
Q

Special Right Triangles

A
29
Q

Parallelogram

A
30
Q
A

π = 3.14

= 22/7

=C/d

31
Q

Circle Circumference

A

C = πd

or

C= 2πr

32
Q

Arc Length

A
33
Q

Area of Circle

A
34
Q

Area of Sector

A
35
Q

Resctangular Solid

A
36
Q

Common Frations and Decimals

A
37
Q

Percent Increase / Decrease

A
38
Q

The root / solution of an euqation

A

A real number x will be called a “solution” or a “root” if it satisfies the equation

39
Q
A
40
Q
A
41
Q
A
42
Q

Memorize Common Exponents

A
43
Q

Memorize Common Roots

A
44
Q

Inclusion-Exclusion Principle

A

Number of elements in the Union = Sum of individual numbers minus their Intersection

45
Q

n Choose k

A
46
Q

The Combination Formula

(order matters)

A
47
Q

Mutualy Exclusive Events

A
48
Q

Independent Events

A