College of the Redwoods

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