## Final Exam - Study Guide

- Find the intersection and union of two sets.
- Solve an equation involving absolute value.
- Solve a story problem (coin) with one variable.
- Expand an expression.
- Factor an expression.
- Factor an expression.
- Solve an equation. Pay attention to those with x^3.
- Solve a geometry problem (Know Pythagorean theorem).
- Divide two rational expressions.
- Simplify a compound fraction.
- Solve a rational equation.
- Solve a work problem.
- Find the equation of a line passing through a point and having a given slope.
- Find the equation of a line passing through two points.
- Solve a variation problem.
- Simplify an expression involving rational exponents.
- Write a radical in simplified radical form.
- Solve a quadratic by completing the square.
- Graph a linear inequality.
- Graph a non-linear inequality.
- Solve a rational equation.
- Determine the equation that has the given solutions.
- Solve a quadratic equation.
- Solve a radical equation.
- Solve using substitution.
- Evaluate a 3x3 determinant.
- Solve a 2x2 system of equations using Cramer's Rule.
- State the domain and range of the given relation and indicate whether or not it is also a function.
- Evaluate a function at a specific value.
- Find the inverse of a function.
- Write the equation of a circle with given center and radius.
- Simplify a logarithm.
- Graph a conic section (ellipse or hyperbola).
- Complete the square and then give the center and radius of a circle.
- Graph a logarithmic and exponential curve on the same axes.
- Solve an exponential equation. Leave answers in terms of logs, do not use the calculator.
- Rewrite a single logarithm as the sum, difference, and multiples of simple logarithms.
- Rewrite the sum, difference, and multiples of simple logarithms as a single logarithm.
- Give the domain, range, and equation for a relation by looking at the graph. Concentrate on ellipses and hyperbolas.
- Find the vertex, x-intercept, y-intercept, and axis of symmetry for a parabola. Then sketch the parabola

The testing time will be broken up as follows.
- 10:00 - 11:00 alone, no notes.
- 11:00 - 11:30 alone with notes.
- 11:30 - 11:50 either continue to work alone and use notes, or surrender notes and work with up to two other persons. If you get into a group, you cannot later decide to exit the group and go back to your notes.