1. Warmup 1-8 Evaluate the following powers of i. 1.i 25 2. i 52 Simplify the following complex radicals 3. 5  (-72)4. 2  (-169) Add or subtract the following complex expressions. Answers must be in standard form. 5. (-31 + 12i) + (15 + 13i) 6. (43 – 7i) – (-14 – 9i) Multiply the following complex expressions. Answers must be in standard form. Show work! 7. 7i(8 – 5i) 8. (4 – 3i)(6 + 7i)

2. Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(A) Simplify. Show work! 1. 2  (48x 4 y 2 ) 2. 3  (25x 5 y 4 ) 3.  (-64) 4. 4  (-40) Evaluate the following powers of i. Show work! 5. i 18 6. i 32 7. i 11 Add or subtract the following complex expressions. Answers must be in standard form. 8. (23 - 16i) - ( 19 - 7i)9. 31 + (18 – 12i) – 25i 10. (-14 + 8i) + ( 23 - 17i)

3. Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(A) Simplify by multiplying the following complex expressions. Show work! 11. (3i)(4i)(-2i)12. -7(5 – 9i) 13. 2i(11 – 6i)14. -10i(4 + 3i) Simplify by rationalizing the denominator. Show work! 15 2i 16. -5 + 3i 1 + 3i 4i 17. -1 + 2i 7 - i

4. Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(B) Simplify. Show work! 1. -3  (60x 6 y) 2. 4  (49x 3 y 4 ) 3.  (-121) 4. 5  (-120) Evaluate the following powers of i. Show work! 5. i 25 6. i 43 7. i 52 Add or subtract the following complex expressions. Answers must be in standard form. 8. (-34 - 22i) + ( 62 - 29i)9. 26i - (-47 + 35i) - 39 10. (31 - 19i) - ( -39 + 24i)

5. Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(B) Simplify by multiplying the following complex expressions. Show work! 11. (-6i)(2i)(-7i)12. 13(-5 - 8i) 13. -4i(14 + 9i)14. 19i(7 - 4i) Simplify by rationalizing the denominator. Show work! 15 5i 16. -8 - 6i 3 + 7i 10i 17. 9 – 4i 5 - 3i

6. Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(C) Simplify. Show work! 1. 11  (176x 5 y 7 ) 2. -12  (324x 8 y) 3. 7  (-324) 4. -3  (-150) Evaluate the following powers of i. Show work! 5. i 132 6. i 167 7. i 209 Add or subtract the following complex expressions. Answers must be in standard form. 8. (-57 - 38i) - ( -73 + 46i)9. -39i - (-78 - 47i) - 91 10. (94 - 41i) + ( -55 - 67i)

7. Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(C) Simplify by multiplying the following complex expressions. Show work! 11. (-12i)(-9i)(-11i)12. -18(9 - 13i) 13. 15i(13 - 16i)14. -24i(11 - 15i) Simplify by rationalizing the denominator. Show work! 15 -12i 16. -18 + 17i 14 - 8i 13i 17. 21 – 15i -19 + 10i

8. Examples Dividing Complex Numbers Simplify by rationalizing the denominator. Show work! 1. 4i 2. -6i 3 + 2i -5 - 3i 3. 7 + i 4. -2 – 8i -5i 4i 5. 4 – 5i 6. -6 + 7i -1 + 3i 5 - i