AFOQT Arithmetic & Math - Formulas & Equations questions and answers 2025

Addition key words: - ANSWER Added, combined, increased by, in all, total, perimeter, sum, &
more than.



Subtraction key words: - ANSWER How much more, less than, fewer than, exceeds, difference, &
decreased.



Multiplication key words: - ANSWER Of, times, area, & product.



Division key words: - ANSWER distribute, share, average, per, out of, percent, and quotient.



Equals key words: - ANSWER Is, was, are, amounts to, & were.



How to find distance: - ANSWER d=r*t



(distance = rate x time)



Order of Operations PEMDAS acronym: - ANSWER
Parentheses/Exponents/Multiply/Divide/Add/Subtract



Positive & Negative Number Rules: - ANSWER (+) + (-) = Subtract #'s; solution = larger #

(-) + (-) = Negative #

(-) * (-) = Positive #

(-) * (+) = Negative #

(-) / (-) = Positive #

(-) / (+) = Negative #

, Greatest Common Factor (GCF) is: - ANSWER The greatest factor that divides two numbers.



(Ex: 24 & 18; GCF = 6; greatest number that can divide both #'s)



Geometric Sequence is: - ANSWER Each term is equal to the previous term multiplied by x.



(Ex: 2, 4, 8, 16; x=2)



Adding & subtracting fractions requires: - ANSWER A common denominator.



(Ex: 2/3 - 1/5 => 2/3*(5/5) - 1/5*(3/3) => 10/15 - 3/15 = 7/15)



To add mixed fractions: - ANSWER First, work the whole # and then the fractions.



To change mixed fractions into single fractions: - ANSWER Multiply whole # by denominator &
adding the numerator.



(Ex: 2 1/4 => 9/4)



To subtract mixed fractions by: - ANSWER Converting to single fractions.



To multiply fractions: - ANSWER Convert mixed fractions to single fractions & multiply across.
Reduce to lowest term if needed.



To divide fractions: - ANSWER Convert mixed fractions into single fractions, flip the second
fraction, & multiply across.