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Mastering Mathematical Properties: Solutions for Multi-Step Equations and Inequalities

Dive into the essential mathematical properties of numbers and learn how to classify them effectively. This comprehensive guide covers multi-step equations, absolute value, proportions, and the intricacies of inequalities, including when to switch signs. Gain insights into graphing in standard and slope-intercept forms, and develop the skills to solve radical equations. We’ll also explore real-world applications, such as understanding millibar measurements and their role in atmospheric pressure calculations. Elevate your math skills today!

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Mastering Mathematical Properties: Solutions for Multi-Step Equations and Inequalities

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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 6

  3. “I can…” • …solve radical equations • 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. Solve Radical Equations • Step 1: Isolate the radical on one side of the equation if necessary • Step 2: Squareeach side of the equation by the same power to eliminate the radical and obtain a linear equation • Step 3: Solve the linear equation using techniques you learned in previous chapters. • Step 4: Check your solution

  6. Examples…

  7. Extraneous Solutions • Here is why we check our solutions…

  8. Today’s Real World Example

  9. What is a Millibar • Millibar(mb) A unit measurements for quantifying force. Used to measure atmospheric pressure. Equivalent to 1000 dynes per square centimeter.

  10. Hurricane • If the mean sustained wind is velocity, v, is 54.5 meters per second, what is the air pressure?

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