November 2015
Algebra II
Ch. 4A Study Guide
Name _______________
I. Simplify. Make sure denominators are rationalized.
1.
48
4.
3
4− 5
7.!! − 2!(3 − 4!)
2. −50
5. (8 − 2i) − (1− 9i)
8.
4 + 3i
2 − 5i
3.!!
!"
!
6. (6 + 8i)(3 + 2i)
9.
5
4i
Algebra II
10. (3! 2i) + (4 + 7i)
13. (3+ 2 7) − (5 − 3 28)
pg 2
11.
!"
12.
!"
14. (4 + 5)(3− 3)
II. Factor each of the following expressions completely
15.!!! ! + 15! + 50
16. 48x 2 − 27
17.!!16! ! − 121
18.!!4! ! − 6! − 40
27
5
III. Solve each quadratic equation by factoring.
19. 6x 2 + 3x = 0
20. 4 x 2 − 81 = 0
21. 10x2 + x – 2 = -2x + 2
22. 6x2 = 2x
IV. Solve the quadratic equation by using the quadratic formula. Be sure answer
is in simplest form.
23. 2x 2 + 5x = 7
25. 8x2 + x + 8 = 0
24. x2 – 10 = 4x
V. Solve the quadratic equation by using inverses and square roots(SPOOO).
Be sure answer is in simplest form.
26. 4x2 – 3 = 17
27. 2(x – 4)2 = -14
VI. Solve the quadratic inequality and graph it on a number line. Write your
answer in interval notation.
28.!!!2! ! + 11! + 5 < 0
29.!!!! ! + ! − 90 ≥ 0