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ALGEBRA II WS 201 OFF TO THE RACES NAME_____________________________ DATE______________________________ PLEASE USE PENCIL. WRITE THE WORD TRUE OR FALSE IN EACH BLANK. IF IT IS FALSE, CORRECT THE STATEMENT TO MAKE IT A TRUE ONE. _______________________1. If the discriminant is a negative number, the parabola will never cross the x-axis. _______________________2. The degree of a quadratic equation is three since there are usually three terms. ______________________ 3. i 7 can be simplified to -1. ______________________ 4. (b 4)2 b2 16 FILL-IN THE BLANK WITH THE CORRECT MATHEMATICAL TERM(S). 5. {….-3, -2, -1, 0, 1, 2, 3, …..} is the set of ___________________ . 6. A parabola is a graph of a ____________________ function. 7. _______________________ is the conjugate of 3 2 5 . 8. Quadrant II contains the points (x ____ 0, y ______0) (fill in with < or >) SIMPLIFY. NO CALCULATOR! 9. 4i 2 (9 5i) 11. 10. (4 2i )(9 5i) 16 13. i12 12. 14. i 20 48 15. 2i (4 2i) 2 SOLVE AND SIMLIFY EACH OF THE FOLLOWING. __________________________16. 2b2 – b + 6 =0 __________________________17. 2x2 – 8x + 3 = 0 __________________________18. x2 – 16x + 64 = 0 __________________________19. 9x2 + 20 = 0 HODGE-PODGE. TWO POINTS EACH. __________________________20. Factor completely: 5 x 2 11x 2 __________________________21. Simplify: (4x2y5)3 __________________________22. State the vertex of the parabola y = -2(x – 5)2 + 6 __________________________23. Solve: |x + 1| - 5 > 3 __________________________24. Simplify: 3 2i 8 3i __________________________25. If a parabola crosses the x-axis 0 times how many real number solutions does it have? State the discriminant and the number of real solutions: 2 x 2 10 x 6 = 0 26. Discriminant: __________ 27. Number of Real Solutions: ________ __________________________28. WRITE A QUADRATIC EQUATION IN QUADRATIC/STANDARD FORM WITH THE SOLUTIONS OF –8 AND 3/5. State the two major subsets of the Complex Numbers. 29._______________________________ 30._________________________________