Math 116 - Chapter 2 Study Guide

1. Solve the equation if possible. Show work. Look at problems 2.1.15-2.1.29. Two parts.
2. Solve the quadratic equation by factoring. Look at problems 2.4.5 - 2.4.13.
3. Solve the quadratic equation by extraction of roots. Look at problems 2.4.15 - 2.4.21.
4. Find all solutions of the equation. Use any algebraic method, but show work. Look at problems 2.4.61 - 2.4.75, 2.4.81-2.4.90. Four parts. Be sure you understand how to factor an expression containing rational exponents.
5. Perform the indicated operations with complex numbers and simplify. Write your answers in standard form. Look at problems 2.3.25-2.3.36, 2.3.47 - 2.3.65. Three parts.
6. Solve the quadratic equation by completing the square. Look at problems 2.4.23 - 2.4.29.
7. Solve the quadratic equation by using the quadratic formula. Look at problems 2.4.45 - 2.4.51.
8. Solve the inequality and sketch on the real number line. Write your answers in interval notation. Look at problems 2.5.29 - 2.5.35, 2.5.45 - 2.5.49, 2.5.55 - 2.5.57. Three parts.
9. Use a graphing utility to approximate any solutions of the equation. Sketch an appropriate graph. Remember that you're only looking for x-values here since the y-values will be zero. Look at problems 2.2.35-2.2.45. Use the root or zero feature of the calculator, do not use the arrow / zoom keys to approximate the intercept.
10. Use a graphing utility to approximate any points of intersection of the graphs of the equations. You need both the x-coordinate and the y-coordinate on this problem. Look at problems 2.2.49-2.2.53. Use the intersect feature of the calculator, do not use the arrow / zoom keys to approximate the intersection point.

Notes:

• None of the problems are (knowingly) directly from the text although they are similar to problems in the text.
• Show enough work on all problems to convince me you know what you're doing.
• Since problems 9 and 10 are to use a graphing utility, copy down the graph from the calculator. Be sure to label the viewing window.
• The first eight problems are to be worked by hand and work shown, not using the graphing utility, although a graphing utility can be used to check the results.
• There is a take home portion of the exam. The answers to the take home portion may be found in the lecture notes on the Internet. The take home portion is worth 20 points and is due the day of the exam.
• The in-class portion is worth 80 points.

Points per problem