Specific
Students will be able to:
1.
perform arithmetic operations on rational expressions.
a. simplify, add, subtract, multiply, divide, rational
expressions
b. find common denominators for rational expressions
c. solve equations involving rational and complex expressions
2. solve and graph inequalities, absolute value, functions, and systems of
linear equations.
a. solve equations with compound inequalities and absolute
values
b. graph functions and relations
c. add, subtract, multiply, and divide functions
d. solve systems of linear equations graphically, by
substitution, and elimination
e. solving systems of linear equations with more than two
variables
f. solve systems of linear inequalities
3. evaluate, simplify, and rationalize radical expressions and complex numbers.
a. simplify, evaluate, and perform arithmetic operations on
radical expressions and functions
b. find the domain for radical expressions
c. evaluate rational exponents
d. solve radical equations
e. perform arithmetic operations with complex numbers
4. solve quadratics equations by completing the square and using the quadratic
formula.
a. solve quadratic equations by completing the square
including imaginary solutions
b. use the quadratic formula to solve quadratic equations
c. graph quadratic equations and functions
d. solve non-linear inequalities
5. solve and graph inverse, exponential, and logarithmic functions
a. find the composition of two functions
b. use composition to find the inverse of a function
c. solve and graph exponential equations and functions
d. solve and graph logarithmic functions
e. solve applications using natural and common logarithms