MATH 097 - Algebra for Precalculus

1. Use multiple representations of functions; graph functions; find domains of functions; use and interpret function notation, difference quotients and average rate of change; and create mathematical models using functions.
2. Perform algebraic operations on polynomials; factor polynomials (using grouping, special products and greatest common factor); and solve polynomial equations and related applied problems.
3. Graph quadratic functions, model real-world situations using quadratic equations, and solve quadratic equations and related applied problems using: square roots, completing the square, the quadratic formula, and technology.
4. Perform algebraic operations and simplify radical and rational functions, rationalize denominators of radical functions, simplify complex rational expressions, and solve radical and rational equations and related applied problems involving proportions and similar triangles.
5. Use the Pythagorean Theorem, distance formula, midpoint formula, and absolute value function (including its algebraic definition) to solve equations, absolute-value inequalities, and related applied problems, with and without use of technology.
6. Use exponential and logarithmic functions, properties of exponents, and properties of logarithms to solve equations and applied problems, with and without use of technology.
7. Demonstrate solutions to problems and interpret results.