algebra study guide 9

No Work ⇔ No Points Use Pencil Only ⇔ Be Neat & Organized √ √ 1. (2 points) Simplify −i −64 − −81. 1. 2. (3 points) Simplify i 150 75 −i . √ √ 3. (2 points) Simplify −i −72 − −98. 2. 3. 4. (3 points) Simplify i 250 −i 120 . 4. Page 1 of 4 Study Guide 9 Total Points: 50 5. (2 points) Simplify 5i(3 − 4i) − 4i(−7 − 2i). 5. 6. (2 points) Divide: 6 − 8i 6 + 8i 6. 7. (2 points) Simplify: ( )2 − 3 − 4i √ √ 8. (2 points) Simplify: − 36 − −98 7. 8. 9. (2 points) Simplify: 2(3 − 4i) − 6(1 + i) 9. 10. (2 points) Simplify: (3 − 5i)(2 − 3i) 10. Page 2 of 4 Study Guide 9 Total Points: 50 11. (2 points) Simplify: 2 − 3i 5 − 2i 11. 12. (2 points) Simplify: i120 − i63 12. 13. (2 points) Simplify: −3i(−2 + 5i) − 6(1 + i) 13. 14. (3 points) Simplify: (3 − 5i)2 − (3 + 5i)2 14. 15. (3 points) Simplify: 13i 2 + 3i 15. Page 3 of 4 Study Guide 9 Total Points: 50 16. (3 points) Simplify: i253 − i99 16. 17. (3 points) Simplify: (2 + i)3 17. 18. (3 points) Simplify: (3 − 2i)2 − (3 + 2i)2 18. 19. (3 points) Simplify: (4 + 5i)(−2 − 3i)(4 − 5i)(−2 + 3i) 19. 20. Find |Z|: (a) (2 points) z = −8 − 6i (a) 3 4 (b) (2 points) z = − i 5 5 (b) Page 4 of 4 Study Guide 9 Total Points: 50