- Factoring
- Cubic Root
- a^3 + b^3 = (a+b)(a^2-ab+b^2)
- a^3 - b^3 = (a-b)(a^2+ab+b^2)
- Quadratic Formula
- x = -b +/- sqare root of b^2 - 4ac/2a
- Conics
- Line: y=mx+b
- Parabola: y-ax^2+bx+c
- Circle: (x-h)^2 + (y-k)^2 = r^2
- Ellipse: ax^2+by^2=c
- Hyperbola: ax^2+by^2=c
- Quadrantal Hyperbola: xy=c
- Interest
- Continuously: A=Pe^rt
- Annually: A=P(1+r)^t
- P = Starting Value
- e = On Calculator
- r = Rate
- t = Time (same units as rate)
- A = Ending Value
- Depreciation means the rate is negative.
- Statistics
- Sx = Sample Standard Deviation
- Weird symbol = Population Standard Deviation
- Controlled Experiment: Imposing some sort of treatment.
- Survery: Questionnaire
- Sequence and Series
- Arithmetic: an=a1 + (n-1)d
- Adding
- Shortcut to find d: d=subtract value/subtract position
- Geometric Sequence: an = a1r^n-1
- Multiplying
- Shortcut to find r: r= subtract position root divide values.
- Domain
- x on the bottom of a fraction: Set unequal to 0.
- x in radical: Set greater than or equal to 0.
- x in radical and on the bottom of a fraction: Set greater than 0.
- Simplest Radical Form
- Break down perfect squares and not perfect
- Add or subtract - Radicals MUST match.
- Discriminent (What kind of roots?)
- b^2-4ac
- Equal Roots: b^2-4ac=0
- Real, Rational Roots: b^2-4ac > 0 and perfect square root
- Real, Irrational Roots: b^2-4ac > 0 and not perfect square root
- Imaginary: b^2-4ac < 0
- Sum and Product of Roots
- Sum: -b/a
- Product: c/a
- Equation: x^2-(sum)x+(product)
- Imaginary Numbers
- i=i
- i^2=-1
- i^3=-i
- i^4=1
- Divide by 4 and take the remainder to find out which one it is.
- Logrithms
- logb mn = logb m + logb n
- logb (m/n) = logb m − logb n
- logb n^k = k logb n
- logb b = 1
- BEE = Base, equals, exponent
- Rules of Exponents
- (x^2)(x^5) = x^7
- (x^2)^5 = x^10
- x^5/x^2 = x^3
- x^2/5 = 5 square root x^2
- Special Triangles
- Variation
- Inverse: K=xy
- Direct: k=x/y
- K = Constant of Variation
- Sin and Cos Graphs
- y=asinbx+d
- a = Amplitude
- b = Frequency
- d = Restline
- Probability
jun 20 2011 ∞
jun 21 2011 +
