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.

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Warmup 1-8 Evaluate the following powers of i. 1.i 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. ( i) + ( i) 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)

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 i i 11 Add or subtract the following complex expressions. Answers must be in standard form. 8. ( i) - ( i) (18 – 12i) – 25i 10. ( i) + ( i)

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) i(4 + 3i) Simplify by rationalizing the denominator. Show work! 15 2i i 1 + 3i 4i i 7 - i

Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(B) Simplify. Show work!  (60x 6 y) 2. 4  (49x 3 y 4 ) 3.  (-121) 4. 5  (-120) Evaluate the following powers of i. Show work! 5. i i i 52 Add or subtract the following complex expressions. Answers must be in standard form. 8. ( i) + ( i)9. 26i - ( i) ( i) - ( i)

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) i(14 + 9i)14. 19i(7 - 4i) Simplify by rationalizing the denominator. Show work! 15 5i i 3 + 7i 10i – 4i 5 - 3i

Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(C) Simplify. Show work!  (176x 5 y 7 )  (324x 8 y) 3. 7  (-324)  (-150) Evaluate the following powers of i. Show work! 5. i i i 209 Add or subtract the following complex expressions. Answers must be in standard form. 8. ( i) - ( i)9. -39i - ( i) ( i) + ( i)

Algebra II REVIEW Quiz Unit 1 Radicals and Complex Numbers(C) Simplify by multiplying the following complex expressions. Show work! 11. (-12i)(-9i)(-11i) (9 - 13i) i( i) i( i) Simplify by rationalizing the denominator. Show work! i i i 13i – 15i i

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