MATH401 – SAT Math Formulas and Concepts
Master Sheet – Algebra, Geometry, and
Trigonometry
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.✅✅✅
Master Sheet – Algebra, Geometry, and
Trigonometry
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.✅✅✅
