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Name ___________________ Chapter 9 Group Test Solve each by factoring. 1. x2 + 3x = 18 2. 18x2 + 11x = 24 Solve each by completing the square. If necessary, round to the nearest hundredth. 3. x2 – 8x + 4 = 0 4. x2 + 6x = 11 Solve each using the quadratic formula. 5. x2 + 5x - 12 = 0 6. 2x2 – 5x = 9 Solve each(use the appropriate method). 7. x2 + 6x – 3 = 0 8. x2 + 9x + 2 = 0 9. 20x2 -13x = 21 10. 2x2 - 5x = 3 12. 4x2 - 3x – 7 = 0 13. Graph y = –3x2 x y -2 -1 0 1 2 11. x2 - 4x = 11 14. Graph y = 2x2 x y -2 -1 0 1 2 Find the x-intercepts(the roots) for each quadratic equation. 15. y = x2 – 5x + 6 16. y = 2x2 + x – 3 Graph. 17. y = x2 + 2x – 3 Solve each. 20. x2 = 36 21. x5 = 2 22. x2 + 15 = 19 Review: 23. 5x2 + x - 6 - 7x2 + 2x 24. –52 + (4 ·7 + 3) – 6 26. (x 2 + 4x – 8) + (3x 2 - 5x – 12) 27. (3x 2 - x – 2) – (x 2 + 7x – 10) Solve each equation for x. x 1 x 28. 3 5 31. y = 2 x–5 3 29. 1 x 10 6 5 32. 2x + 5y = 10 25. –6(2x – 7) 30. 8(3x + 5) = 16 33. x – 3y = 12 34. Write the equation for the line with slope of 4 that passes through the point (3, 5). 35. Write the equation of the line that contains the point (2, 5) and is parallel to the line y = 2x + 1. 36. Write the equation of the line that contains the point (9, 4) and is perpendicular y = -3x + 5. Solve each system. 37. 2x + 3y = 25 y = 4x – 1 38. 7x + 3y = 22 5x – 6y = -25