Rules Flashcards
Order of operation
PEMDAS Parentheses, exponents, multiplication, division, addition, subtraction
Pythagorean triples
3,4,5
6,8,10
5,12,13
Average Speed =
Total Distance : Total Time
Total Distance =
Total Time x Average Speed
Total Time =
Total Distance : Average Speed
divided by 3?
If its digits add up to a multiple of 3
divided by 4?
If its last two digits are a multiple of 4
divided by 6?
If it is a multiple of both 2 and 3
divided by 9?
If its digits add up to a multiple of 9
First ten Prime Factors
2, 3, 5, 7, 11, 13, 17, 19, 23, 29
The least common multiple (smallest common multiple of two integers)
(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
The average of consecutive numbers
Average of smallest and largest numbers
Simple Interest formula
Principle x Rate x Time
The Work Formula
Work Formula for Two
Degree measure of polygon with n sides
negative and fraction exponents
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.)
Radical games
Equation of Lines (on coordinate)
y = mx + b
m = slope
a = x intercept
b = y intercept
Coordinate Line Slope
m = change in y / change in x
Greatest Common Factor of two numbers
(1) Prime factorize both integers
(2) Choose all prime factors they have in common
(3) Multiply
Comparing Fractions
FOIL Method
Products of First, Outer, Inner, and Last terms
Factoring Polynomials
The sum of the two missing terms will be the second term, and their product will be the last term.
Mode
The term that appears most frequently in a set
The Permutation Formula
(order doesn’t matter)
Exterior Sides of Triangles
Special Right Triangles
Parallelogram
π = 3.14
= 22/7
=C/d
Circle Circumference
C = πd
or
C= 2πr
Arc Length
Area of Circle
Area of Sector
Resctangular Solid
Common Frations and Decimals
Percent Increase / Decrease
The root / solution of an euqation
A real number x will be called a “solution” or a “root” if it satisfies the equation
Memorize Common Exponents
Memorize Common Roots
Inclusion-Exclusion Principle
Number of elements in the Union = Sum of individual numbers minus their Intersection
n Choose k
The Combination Formula
(order matters)
Mutualy Exclusive Events
Independent Events
