4â4 Skills Practice
NAME
4–4
DATE
PERIOD
Skills Practice Complex Numbers
Simplify. 1. √
2. √
3.
4. √
5. √
6. √
7. (3i)(–2i)(5i)
8. i11
9. i65
√
10. (7 – 8i) + (–12 – 4i)
11. (–3 + 5i) + (18 – 7i)
12. (10 – 4i) – (7 + 3i)
13. (7 – 6i)(2 – 3i)
14. (3 + 4i)(3 – 4i)
15.
16.
Solve each equation. 17. 3x2 + 3 = 0
18. 5x2 + 125 = 0
19. 4x2 + 20 = 0
20. –x2 – 16 = 0
21. x2 + 18 = 0
22. 8x2 + 96 = 0
Find the values of and m that make each equation true. 23. 20 – 12i = 5 + (4m)i
24. ℓ – 16i = 3 – (2m)i
25. (4 + ℓ) + (2m)i = 9 + 14i
26. (3 – m) + (7ℓ – 14)i = 1 + 7i
Chapter 4
26
Glencoe Algebra 2
4–4
DATE
PERIOD
Skills Practice Complex Numbers
Simplify. 1. √
2. √
3.
4. √
5. √
6. √
7. (3i)(–2i)(5i)
8. i11
9. i65
√
10. (7 – 8i) + (–12 – 4i)
11. (–3 + 5i) + (18 – 7i)
12. (10 – 4i) – (7 + 3i)
13. (7 – 6i)(2 – 3i)
14. (3 + 4i)(3 – 4i)
15.
16.
Solve each equation. 17. 3x2 + 3 = 0
18. 5x2 + 125 = 0
19. 4x2 + 20 = 0
20. –x2 – 16 = 0
21. x2 + 18 = 0
22. 8x2 + 96 = 0
Find the values of and m that make each equation true. 23. 20 – 12i = 5 + (4m)i
24. ℓ – 16i = 3 – (2m)i
25. (4 + ℓ) + (2m)i = 9 + 14i
26. (3 – m) + (7ℓ – 14)i = 1 + 7i
Chapter 4
26
Glencoe Algebra 2
