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Title: Algebra Final Exam
Description: College algebra 1 final exam notes Paris Junior College - Professor Fornof
Description: College algebra 1 final exam notes Paris Junior College - Professor Fornof
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Solving linear equations:
1
...
All variables to one side
3
...
Check
`i=sqrt(-1)
i2=-1
i3=-i
i4=1
To simplify higher powers of i, divide
exponent by 4 (remainer=new exponent)
sqrt(ab)=sqrt(a)*sqrt(b)
sqrt(a/b)=sqrt(a)/sqrt(b)
Completing the square:
1
...
If lead
...
is not 1, divide through
by lc
3
...
Factor left side, combine right side
a2-b2=(a-b)(a+b)
a2+b2=(a-bi)(a+bi)
xn/m=msqrt(xn)
Even root of both sides, must put in +/(xn)m=xnm
au2+bu+x=0
Abs val:
1
...
Right side neg, no sol
3
...
logaMN=logaM+logaN
2
...
logaMP=PlogaM
logax=lnx/lna
Compound interest
A=P(1+r/n)nt
a=amount after t years
p=amt invested
r=rate of interest (decimal)
n=periods/yr
t=years
Cont compounded interest
A=Pert
Determinant
A B
C D
= AD-CB
Title: Algebra Final Exam
Description: College algebra 1 final exam notes Paris Junior College - Professor Fornof
Description: College algebra 1 final exam notes Paris Junior College - Professor Fornof