SAT Math 2023/2024

quadratic formula --[-b ± √(b² - 4ac)] / (2a) slope formula --(y₂- y₁) / (x₂- x₁) integers --..., -3, -2, -1, 0, 1, 2, 3, ... rationals --fractions (anything expessable as a ratio of integers) reals --integers, rationals, plus special #s (like √2 or pi) order of opperations --PEMDAS (Parentheses / Exponents / Multiply / Divide / Add / Subtract) Arithmetic Sequences --t₁, t₁+ d, t₁+2d, ... Geometric Sequences --t₁, t₁· r, t₁· r², ... Factors --ex. factors of 52 are 2, 4, 13, and 26 Multiples --ex. multiples of 20 are 40, 60, 80, 100, ... percentages --part = (percent / 100) x whole average --average = sum of terms / number of terms average speed --average speed = total distance / total time sum --sum = average x (number of terms) mode --mode = value in the list that appears most often median --median = middle value in the list 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 x M ways. probability --probability = number of desired outcomes / number of total outcomes adding exponents --x^a · x^b = x^(a+b) subtracting exponents --x^a / x^b = x^(a-b) negative exponents --1 / x^b = x^(-b) multiplying exponents --(x^a)^b = x^(a·b) x^0 --1 roots --√(xy) = √x · √y FOIL --(x+a)(x+b) = x^2 + (b+a)x + ab difference of squares --a^2 -b^2 = (a+b)(a-b) a^2 + 2ab + b^2 --(a+b)^2 a^2 - 2ab + b^2 --(a-b)(a-b) distance formula --√[(x₂- x₁)^2 + (y₂- y₁)^2)]