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Understanding Stan's Equation Solution and Quadratic Formula Applications

In this review, we explore Stan's approach to solving the equation ( n + 8(n + 20) = 110 ). We dissect each step leading to his solution and evaluate the correctness of his method. Additionally, we discuss various techniques for solving quadratic equations, focusing on the quadratic formula ( ax² + bx + c = 0 ). Students will learn how to find x-values using different methods: graphing, square roots, factoring, completing the square, and applying the quadratic formula.

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Understanding Stan's Equation Solution and Quadratic Formula Applications

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  1. CST Review 4-12-2012 Stan’s solution to an equation is shown below. Given: n+8( n+20) =110 Step 1: n+8n+20 =110 Step 2: 9n+20 =110 Step 3: 9n=110 −20 Step 4: 9n=90 Step 5: Step 6: n=10 Which statement about Stan’s solution is true? A. Stan’s solution is correct. B. Stan made a mistake in Step 1 C. Stan made a mistake in Step 3 D. Stan made a mistake in Step 5.

  2. 9.7 Quadratic Formula Content Objectives: Students use the quadratic formula to find the x-values from a quadratic equation. Language Objectives: Students will apply the quadratic formula to second – degree polynomials to solve for the x-values

  3. ax² + bx + c = 0 What are the different ways that we have learned to find the x- values in chapter 9? 1. Graphing 2. Square Roots 3. Factoring / ZPP 4. Completing the Square

  4. Quadratic Formula

  5. x² - 7x + 4 = 0

  6. x² - 2x – 8 = 0

  7. x² - 4x = 117

  8. 6m² - 13m -19 = 0

  9. x² + 4x – 60 = 0

  10. a² - a = 132

  11. g² - 15g – 54 = 0

  12. x² + 2x – 15 = 0

  13. y² + 6y – 247 = 0

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