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