## Math 116: Chapter 7 Study Guide

1. Solve the system of equations anyway you want to. Seven parts. Look at problems 5 - 41 in section 7.1 (3 parts), problems 1 - 29 in section 7.2 (3 parts), and problems 15 - 17 in section 7.3 (1 part).
2. Find a system of linear equations with the given solutions. Two parts. Look at problems 59 - 60 in section 7.2 and 61 - 62 in section 7.3. These problems are not straight from the text.
3. Sketch the system of linear inequalities. Two parts. Look at problems 21 - 39 in section 7.4.
4. Solve the 3x3 system of linear equations. Look at problems 1 - 13 in section 7.3.
5. Find the maximum and minimum values of a linear programming problem. The feasible region is sketched and the corner points are identified. Look at problems 1 - 12 in section 7.5. This problem is not directly from the text.
6. Find a system of linear inequalities which bounds the shaded region. Look at problems 41 - 46 in section 7.4. This problem is not directly from the text. The equations of the curves are identified, all you have to do is decide if it should be a <=, =, or >= to shade the proper portion.

### Notes:

• All problems are directly from the odd problems listed unless otherwise stated.
• The in-class portion is worth 70 points.
• The take-home portion is worth 30 points.