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Exploring Key Mathematical Concepts: Properties, Equations, and Radical Expressions

Dive into essential mathematical concepts in this comprehensive review. We will classify numbers, solve multi-step equations, and explore properties such as absolute value, proportions, and percent increase/decrease. Understand inequalities and learn when to switch signs, while graphing equations in standard and slope-intercept form. Discover how to multiply radical expressions, rewrite numbers using prime factors, and simplify radical expressions with no perfect squares or fractions. Gain confidence through practical examples and applications of the distributive property.

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Exploring Key Mathematical Concepts: Properties, Equations, and Radical Expressions

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  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 3

  3. “I can…” • …multiply 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. RECALL…the DISTRIBUTIVE PROPERTY

  6. RECALL…Properties of Square Roots Part 1 • This shows us how to separate and multiply square roots

  7. A “simplified” radical expression… • The radicand has no perfect squares • The radicand contains no fractions • No radicals appear in the denominator of a fraction

  8. Examples 1-3

  9. Examples 4-7… Use the DISTRIBUTIVE PROPERTY… sometimes twice

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