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Name: Date: Algebra 2 Algebra 2 Quadratic Equations Equation Solving Practice On a separate piece of paper: Solve by factoring, taking square roots, completing the square, or quadratic formula. Try to use the easiest possible method!! You should only need to use the Quadratic Formula or completing the square in ONE problem! 1. x 2 - 3x + 1 = 19 2 2. ( x - 5) 2 = 0 3 3. 2 x 2 + 14 x = -20 x2 x 1 1 - + = 4. 3 2 2 3 5. 3x 2 - 8 x + 6 = 1 6. 3( x - 5) 2 + 7 = 31 7. 3x 2 - 7x = 0 8. 4( x - 8)(6x + 7) = 0 9. 2(x - 7)2 + 5 = -11 10. (x - 3)(x - 9) =16 11. (x - 4)2 + (x + 3)2 = (x + 4)2 12. 2x 2 - 5 = 4x 13. 3x 2 = 8 -10x 14. ( 43 x - 2)( x + 57 ) = 0 15. 10x 2 + 33 = 783 Name: Date: Algebra 2 Answers: 1. Factor: 6, -3 4. x6 & factor: 1, ½ 7. Factor: 7/3, 0 10. Factor: 11, 1 13. Factor: -4, 2/3 2. Sq roots: 5 5. Factor: 1, 5/3 8. Already factored: 8, -7/6 11. Factor: 9, 1 3. ÷2 and factor: -5, -2 6. Sq roots: 5 ± 2 2 9. Sq roots: No Real Solution 12. Quadratic Formula or Completing the Square 1± 27 14. Already factored: 8/3, -5/7 15. Sq roots: ±5 3