Read Sections 4.1–4.5, and complete the exercises. • Write a paragraph describing the different types of linear systems you have encountered in the chapter. Be sure to discuss their consistency, dependence, and graphical representation. • Describe a job that you would like to have in the future that will require you to be able to follow procedures correctly in order to be successful. • How has the Study Strategy for this chapter helped you take better notes in all of your classes? Complete the Chapter Review and Chapter Test. How did you do? 4.1 Solving Systems by Graphing What are your objectives for Section 4.1? How can you accomplish each objective? 1 Determine Whether an Ordered Pair Is a Solution of a System • Write the defi nition of a solution of a system in your own words, and write an example. • Know how to substitute values into an equation. • Complete the given example on your own. • Complete You Try 1. 2 Solve a Linear System by Graphing • Understand that a system with one solution is considered a consistent system with independent equations. • Complete the given example on your own. • Complete You Try 2. 3 Solve a Linear System by Graphing: Special Cases • Know that the graphs of some equations in a system might not intersect. • Understand that a system with no solution is considered an inconsistent system with independent equations. • Understand that a system with an infi nite number of solutions is considered a consistent system with dependent equations. • Complete the given examples on your own. • Complete You Try 3. • Summarize how to solve systems by graphing by writing the procedure for Solving a System by Graphing in your own words and drawing examples for the three different cases. 4 Determine the Number of Solutions of a System Without Graphing • Follow the explanation to use slopes and y-intercepts to determine the number of solutions to a system of equations. • Complete the given examples on your own. • Complete You Try 4. 244 CHAPTER 4 Linear Equations and Inequalities in Two Variables www.mhhe.com/messersmith
messersmith_power_introductory_algebra_1e_ch4_7_10
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