a. 11x2 +x2 = (4x+8)(3x– 3) b. c. 6r+9 = 36* %3D d. += 3

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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I need steps and answers pls and thank you

**Title: Exploring Multiple Methods for Solving Equations**

**Introduction:**
In this lesson, you'll delve into three distinct methods for tackling one-variable equations: rewriting, looking inside, and undoing. Each approach offers unique insights and tools to find solutions. As you work, reflect on the problem-solving strategies that worked best for you.

**Instructions:**
For each of the problems below, apply the strategies you've learned to determine all possible solutions. Evaluate your work thoroughly and note the method(s) utilized for solving each equation.

**Problems:**

a. \( 11x + x^2 = (4x + 8)(3x - 3) \)

b. \( \frac{x}{9} - \frac{x}{2} = 6 \)

c. \( 6x + 9 = 36x^2 \)

d. \( \frac{4 + 1}{9a} = \frac{2}{3} \)

e. \( \sqrt{x + 3} = 6 \)

f. \( 1.2m - 0.2 = 3.8 + m \)

g. \( (x + 12)^2 = 9 \)

**Conclusion:**
Ensure you review the Math Notes box for this lesson and discuss the strategies with your team. Understanding these methods will enhance your ability to choose the most effective strategy for various types of equations.
Transcribed Image Text:**Title: Exploring Multiple Methods for Solving Equations** **Introduction:** In this lesson, you'll delve into three distinct methods for tackling one-variable equations: rewriting, looking inside, and undoing. Each approach offers unique insights and tools to find solutions. As you work, reflect on the problem-solving strategies that worked best for you. **Instructions:** For each of the problems below, apply the strategies you've learned to determine all possible solutions. Evaluate your work thoroughly and note the method(s) utilized for solving each equation. **Problems:** a. \( 11x + x^2 = (4x + 8)(3x - 3) \) b. \( \frac{x}{9} - \frac{x}{2} = 6 \) c. \( 6x + 9 = 36x^2 \) d. \( \frac{4 + 1}{9a} = \frac{2}{3} \) e. \( \sqrt{x + 3} = 6 \) f. \( 1.2m - 0.2 = 3.8 + m \) g. \( (x + 12)^2 = 9 \) **Conclusion:** Ensure you review the Math Notes box for this lesson and discuss the strategies with your team. Understanding these methods will enhance your ability to choose the most effective strategy for various types of equations.
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