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Answers are given at the end of the section exercises. This feature is related to the Preparing for This Section feature. Do you always remember what you've learned? Working these problems is the best way to find out. If you get one wrong, you'll know exactly what you need to review, and where to review it! Learning math is more than memorization — it's about discovering connections. These problems help you understand the 'big ideas' before diving into skill building.
Skill Development Correlated to section examples, these problems provide straightforward practice, organized by difficulty. It's important to dig in and develop your problem-solving skills. These problems provide you with ample practice to do so. Graphical These problems utilize graphs in a variety of ways. You will supplement your analytical understanding with graphical understanding.
Now Work Problems Many examples refer you to a related homework problem. These related problems are marked by a yellow pencil. If you get stuck while working problems, look for the closest Now Work problem and refer back to the related example to see if it helps.
Applications and Extensions Application problems "word problems" follow basic skill development problems. Math is everywhere, and these problems demonstrate that. You'll learn to approach real problems, and how to break them down into manageable parts.
These can be challenging, but are worth the effort. Graphing Calculator These optional problems require the use of a graphing utility, and are marked by a special icon. Your instructor will usually provide guidance on whether or not to do these problems.
If so, these problems help to verify and visualize your analytical results. These support class discussion, verbalization of mathematical ideas, and writing and research projects. To verbalize an idea, or to describe it clearly in writing, shows real understanding. These problems nurture that understanding.
They're challenging, but you'll get out what you put in. Review Chapter Reviews at the end of each chapter contain Study these ideas and you'll know the most important material in the book! Do the recommended exercises and you'll have mastery over the key material. If you get something wrong, go review the suggested page numbers and try again. Review Exercises These provide comprehensive review and practice of key skills, matched to the Learning Objectives for each section.
Practice makes perfect. These problems combine exercises from all sections, giving you a comprehensive in one place. Be sure to take the Chapter Test under test conditions — no notes! Be prepared. If you get a problem wrong, watch the Chapter Test Prep Video found at the back of your book.
Chapter Projects The Chapter Project applies what you've learned in the chapter the chapter opener article. Additional projects are available on a website.
The Project gives you an opportunity to apply what you've learned in the chapter to solve the problem posed in the opening article. If your instructor allows, these make excellent opportunities to work in a group, which is often the best way of learning math. Cumulative Review These problem sets appear at the end of Chapters
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