College of the Redwoods

OPTIMATH

Online Practice and Testing in Mathematics
Fall 2008

Practice Exercises for course Math 30

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Topic
   solving linear equations
   solving quadratic equations
   solving rational equations
   solving radical equations
   solving quadratic-type equations
   solving linear inequalities
   solving absolute value equations
   solving absolute value inequalities
   applications of linear equations
   definition of a function
   evaluation of a function
   domain of a function
   simple operations of functions
   average rate of change
   graphs and properties of functions
   transformations of graphs
   composition of functions
   applications (including optimization)
   graphs and properties of quadratic functions
   applications of quadratic functions
   graphs and properties of polynomial functions
   graphs and properties of rational functions
   solving polynomial inequalities
   solving rational inequalities
   approximate zeros of polynomials
   operations on complex numbers
   exact zeros of polynomials
   inverse functions
   exponential functions
   solving exponential equations
   logarithmic functions
   solving logarithmic equations
   logarithm properties
   solving exponential and logarithmic equations
   applications: compound interest
   applications: exponential growthe and decay
   applications: Newton's law of cooling
   applications: logistic models
   applications: logarithmic scales
   computing large powers
   general sequences and series
   applications of sequences
   arithmetic sequences and series
   applications of arithmetic sequences
   geometric sequences and series
   determine type of sequence
   applications of geometric sequences and series
   binomial theorem
   solving 2x2 linear systems
   applications of 2x2 linear systems
   solving 3x3 linear systems
   applications of 3x3 linear systems
   solving 2x2 nonlinear systems
   applications of 2x2 nonlinear systems