Numbers, Sequences, FactorsIntegers: | . . . , -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, Probabilityaverage | 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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