## Math 116 - Chapter 2 Study Guide

1. Solve the equation if possible. Show work. Look at problems 2.1.37 - 2.1.54. Two parts.
2. Perform the indicated operation and simplify. Look at problems 2.3.31 - 2.3.37, 2.3.51 - 2.3.63, 2.3.67 - 2.3.73. Three parts.
3. Story problem. Look at problems 2.2.63 - 2.3.66.
4. Solve the quadratic equation by factoring. Look at problems 2.4.5 - 2.4.11.
5. Solve the quadratic equation by extraction of roots. Look at problems 2.4.13 - 2.4.15.
6. Solve the quadratic equation by completing the square. Look at problems 2.4.17 - 2.4.19.
7. Solve the quadratic equation by using the quadratic formula. Look at problems 2.4.33 - 2.4.41.
8. Solve the inequality and sketch on the real number line. Write your answers in interval notation. Look at problems 2.5.31 - 2.5.39, 2.5.51 - 2.5.57, 2.5.63 - 2.5.65. Three parts.
9. Find all solutions of the equation. Use any method, but show work. Look at problems 2.4.53 - 2.4.69.
10. Story problem. Look at problems 2.4.109 - 2.4.116.
11. Story problem. Look at problems 2.6.11 - 2.6.17.

### Notes:

• Show enough work on all problems to convince me you know what you're doing. If your work consists of using a graphing utility, then show the graph.
• Numbers 1, 4, 5, 6, and 7 should be worked by hand, not using the graphing utility, although a graphing utility can be used to check the results.
• All problems are directly from the textbook, but they may be odd or even.

#### Points per problem

 # 1 2 3 4 5 6 7 8 9 10 11 Tot Pts 10 12 12 6 6 6 6 12 6 12 12 100