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Elementary Algebra Skill Solving Quadratic Equations by Factoring Solve each equation by factoring 1) x 2 − 9x + 18 = 0 2) x 2 + 5x + 4 = 0 3) n 2 − 64 = 0

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I can solve equations using the quadratic formula (with rationalized denominators ) 12 I can use the discriminant to determine the number and type of solutions 13  

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His brother Fred is four years old than Victor The product of their ages is 780 (a) Set up an equation to represent this information

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Lesson Method for solving quadratic equations: First, transform a quadratic equation into standard form, and then decide which method to use 1 Solve 

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Integrated Algebra Worksheet Choosing a Method for Solving Equation Section: Name: 1 Mr. Lin Aim: How do we choose an appropriate method for solving quadratic equations? Lesson Method for solving quadratic equations: First, transform a quadratic equation into standard form, and then decide which method to use. 1. Solve quadratic equations by factoring Example: x2 + 5x + 6 = 0 (x + 3)(x + 2) = 0

Factoring x + 3 = 0 or x + 2 = 0 Apply zero product property x = -2 or x = -3 Solve two first degree equations Exercise: a) x2 + 7x + 12 = 0 b) x2 + x - 20 = 0 c) x2 - 16x + 63 = 0 d) 2x2 + x - 15 = 0 2. Solve quadratic equations by factoring special cases Example:

x2 - 9 = 0 (x + 3)(x - 3) = 0 Factoring, since A2 - B2 = (A + B)(A - B) x + 3 = 0 or x - 3 = 0 Apply zero product property x = -3 or x = 3 Solve two first degree equations Exercise: a) 4x2 - 25 = 0 b) x2 + 8x + 16 = 0 3. Solve quadratic equations using quadratic formula If ax2 + bx + c = 0 and a ≠ 0, then €

x= -b±b 2 -4ac 2a

Integrated Algebra Worksheet Choosing a Method for Solving Equation Section: Name: 3 Mr. Lin Solve the following equations by any method: 1. 2x2 + 3x = 6 2. 8x2 - 6x + 1 = 0 3. 2x2 + 7x - 15 = 0 4. 2x2 - 32 = 0 5. 10x2 = 8x 6. 5 = -2x + x2 7. 3x2 - 192 = 0 8. 3x2 - 2x = 8

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