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ALGEBRA FORMULA SUMMARY

Lines

Slope of line through (x1, y1) and (x2, y2):

Point-slope equation of line through (x1, y1) with slope m:

y - y1 = m(x - x1)

Slope- intercept equation of line with slope m and y-intercept b:

y = b + mx

Definition of Zero , Negative , and Fractional Exponents

and, in general,
and, in general, a
Also,

Rules of Exponents

1. For example,

2.For example,

3. For example,

Definition of Natural Log

y = ln x means ey = x, for example: ln1 = 0, since e0 = 1.

Rules of Natural Logarithms

ln(AB) = lnA + lnB

= lnA - lnB

lnAp = p lnA

Identities

Exam 1

• Interest compounded annually :

• Interest compounded continuously:

• Profit = Revenue - Cost

• Revenue = (price)×( number sold )

Exponential Growth : where k > 0

• Exp onential Decay : where k < 0
 

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