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ALGEBRA 2 CHAPTER 3 NAME_____________________________ REVIEW SHOW ALL WORK FOR FULL CREDIT! For problems 1 – 2, solve the equation by graphing. 1. 0 = -x2 + 2x + 3 2. -(x+3)2 + 1 = 0 For problems 3 – 6, solve the equation using square-roots. 3. 3x2 – 4 = 8 4. (x – 6)2 = 25 5. 4(x – 1)2 + 2 = 10 6. (x + 4)2 + 4 = 0 For problems 7-12, solve the equation by factoring. 7. 0 = x2 – 4x + 4 8. x2 + x = 6 9. m2 + 4m = 0 For problems 7-12, solve the equation by factoring. 10. x 2 – 121 = 0 11. 9x2 – 24x + 16 = 0 12. 2x2 – 17x = -30 For problems 13-15, perform the operation on each complex number. 13. (-2 + 3i) + (7 – 6i) 14. (9 + 3i) – (-2 – 7i) 15. (3 – 4i)(3 + 4i) For problems 16 - 18, solve the equation using the Quadratic Formula. 16. –x2 + 5x = 2 17. –x2 + 4x = 5 18. 3x2 – 12x + 13 = 0 For problems 19 – 20, solve the equation by completing the square. 19. x2 + 16x + 17 = 0 20. 4x2 + 16x + 25 = 0 Solve the system by the elimination method. 21. 2x2 – 8x + y = -5 2x2 – 16x – y = -31 Solve the system by the substitution method. 22. 2x2 – y – 2 = 0 y = -2x + 2 23. A golf ball is hit from the ground, and its height can be modeled by the equation h(t) = -16t2 + 128t, where h(t) represents the height (in feet) of the ball t seconds after contact. What will the maximum height of the ball be?