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General mental ability

Saturday, October 10, 2009 Add Comment Edit

Pascal's triangle to 5 rows

Image via Wikipedia

Laws of Exponents

(a^m)(aⁿ) = a^m+n
(ab)^m = a^mb^m
(a^m)ⁿ = a^mn
a⁰ = 1
(a^m)/(aⁿ) = a^m-n
a^-m= 1/(a^m)

Quadratic Formula

In an equation like ax² + bx + c = 0
You can solve for x using the Quadratic Formula:
Quadratic Formulas

Quadratic Formulas

Binomial Theorem

(a + b)¹ = a + b
(a + b)² = a² + 2ab + b²
(a + b)³ = a³ + 3a²b + 3ab² + b³
(a + b)⁴ = a⁴ + 4a³b + 6a²b² + 4ab³ + b⁴ ...and so on...

Difference of Squares

a² - b² = (a - b)(a + b)

Rules of Zero

0/x = 0 where x is not equal to 0.
a⁰ = 1
0^a = 0
a*0 = 0
a/0 is undefined (you can't do it)

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