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Comprehensive overview of mathematical concepts and formulas covered in the GMAT quantitative reasoning section. Covers arithmetic, fractions, percentages, compound interest, and exponents. Concise and easy-to-understand format, valuable for GMAT preparation. Useful for university students in business, finance, or mathematics, and high school students interested in business or finance careers.
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a + b = - b + a a x b = - b x a (a + b) + c = - a + (b + a) (a x b) x c = - a x (b x a) a (b + c) = - ab + ac Adding a positive number - Move right along the number line Subtracting a positive number - Move left along the number line Adding a negative number - Move left along the number line a + (-b) = a - b Subtracting a negative number - Move right along the number line a - (-b) = a + b
n = - n/ n/0 - undefined n/n -
a/b = c/d - ad = bc part/whole = - percent/ p percent of x is y - (p/100)(x) = y % change - change x 100/ original value new change - (1 + percent change/100) x original compound interest = - P (1 + r/c)^nc compound interest P - Principle compound interest r - annual interest rate Compound Interest c - number of "compoundings" per year compound interest n - number of years
simple interest - (principle)(rate)(time) a:d = b:c - a/b = c/d Positive base x > 1 - the value of x^n increases as n increases Positive base 0 < x < 1 - the value of x^n approaches zero as n increases negative base x < -1 - the value of x^n increases as n increases but the sign oscillates negative base -1 < x < 0 - the value of x^n decreases as n increases 75^2 = - 7 x 8 = 56 5^2 = 25 5625 105^2 = - 10 x 11 = 110 5^2 = 25 11025 x^a/x^b = - x^a-b