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Mastering Mathematical Properties: From Rationalizing Radicals to Multi-Step Equations

Dive into the essential mathematical properties needed for mastery in algebra! This comprehensive guide reviews classification of numbers, multi-step equations, absolute value, proportions, and the intricacies of inequalities, including when to switch signs. Learn to graph in standard and slope-intercept forms, and understand how to rationalize denominators of radical expressions. Through engaging examples and practice, this resource equips students with skills to simplify expressions, express numbers as prime factors, and work with conjugates.

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Mastering Mathematical Properties: From Rationalizing Radicals to Multi-Step Equations

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Presentation Transcript

  1. Let’s Review • Mathematical Properties • Classify Numbers • Multi-Step Equations • Absolute Value • Proportions/Percent of increase/decrease • Inequalities : When to switch sign? • Graphing Standard Form • Slope-Intercept Form • B.A.G.

  2. Unit 7 Lesson 4

  3. “I can…” • …rationalize the denominators of radical expressions • M(F&A)-10-3 • M(N&O)-10-2

  4. Recall…Write Answers in simplest Radical Form • How to rewrite a number using prime factors • Example 1-3 • 25 • 120 • 99

  5. In Algebra you cannot leave a radical in the denominator • So, we RATIONALIZE the denominator • Since the… • And…

  6. Here’s how… • Examples 12, 13

  7. Conjugates • The product of conjugates is a whole number • and are “conjugates” • Example; and • Example; and

  8. Examples

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