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