Numbers, Sequences, Factors
Integers: 
. . . , 3, 2, 1, 0, 1, 2, 3, . . . 
Rationals: 
fractions, that is, anything expressable as a ratio of integers 
Reals: 
integers plus rationals plus special numbers such as √2, √3 and 
Order Of Operations: 
PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract) 
Arithmetic Sequences: 
each term is equal to the previous term plus d Sequence: t1, t1 + d, t1 + 2d, . . . Example: d = 4 and t1 = 3 gives the sequence 3, 7, 11, 15, . . . 
Geometric Sequences: 
each term is equal to the previous term times r Sequence: t1, t1 · r, t1 · r2, . . . Example: r = 2 and t1 = 3 gives the sequence 3, 6, 12, 24, . . . 
Factors: 
the factors of a number divide into that number without a remainder 
Multiples: 
the multiples of a number are divisible by that number without a remainder 
Percents: 
use the following formula to find part, whole, or percent part = percent 100 × whole 
Averages, Counting, Statistics, Probability
average 
average = sum of terms number of terms 
average speed 
total distance/total time 
sum 
Average*number of teerms 
mode 
value in the list that appears most often 
median 
middle value in the list (which must be sorted) Example: median of {3, 10, 9, 27, 50} = 10 Example: median of {3, 9, 10, 27} = (9 + 10)/2 = 9.5 
Fundamental Counting Principle: 
If an event can happen in N ways, and another, independent event can happen in M ways, then both events together can happen in N ×M ways. 
SAT Prep 


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