By H. Piaggio
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Extra info for An Elementary Treatise on Diff. Eqns. and Their Applns.
Study Tips appear in the margins and offer you specific point-of-use suggestions for studying algebra, as well as pointing out common errors and discussing alternative solution methods. 3. If each side simplifies to the same number, the ordered pair is a solution. If the two sides yield different numbers, the ordered pair is not a solution. Definitions and Rules All important definitions, rules, formulas, properties, and summaries of solution methods are highlighted for emphasis. Each of these features is also titled for easy reference.
The variable term is often a hidden product in which one of the factors is a percent or some other type of rate. Watch for these occurrences in the discussions and examples that follow. The markup on a consumer item is the difference between the cost a retailer pays for an item and the price at which the retailer sells the item. A verbal model for this relationship is as follows. Example 3 Combining Like Terms Examples Simplify each expression by combining like terms. a. 7x ϩ 7y Ϫ 4x Ϫ y b. 2x2 ϩ 3x Ϫ 5x2 Ϫ x c.
Solve nonlinear systems of equations by substitution. Solve nonlinear systems of equations by elimination. Use nonlinear systems of equations to model and solve real-life problems. Assignment Completed To prepare for a test on this chapter, review: Your class notes Technology Tips: 657, 667, 679, 684 Your assignments Chapter Review, p. 695 Key Terms Chapter Test, p. 699 Chapter Summary, p. 694 Cumulative Test: Chapters 8–10, p. 700 Study Tips: 655, 656, 677 Notes: ___________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ _________________________________________________________________________ Your Guide to Chapter 11 Sequences, Series, and the Binomial Theorem Use these two pages to stay organized as you work through this chapter.