Math Review Sheets Page 2

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2
21)
Evaluate and simplify in a + bi form:
30)
x
- 5x + 3 = 0
(3 - 2i) + (6 - i) - (2 - 3i)
2
31)
3x
+ 4x = 3
22)
Evaluate and simplify in a + bi form:
(-4 + -54) - (3 - -24)
Questions 32 and 33 refer to the following:
23)
Simplify in a + bi form: 2i(2i + 3)
Solve the given expression using the quadratic formula.
[Express the answer in simplest radical form.]
32)
2y =
+ 5
Simplify in a + bi form: (3 + i 3)(4 + i 3)
24)
25)
Simplify in a + bi form: (4 - 6i)(4 + 6i)
33)
1 - +
= 0
2
26)
Simplify in a + bi form: (3 + 4i)
34)
Solve:
10 + x + 2 = 8
2
27)
Simplify in a + bi form: (2 - i)(2 + i)(2 + i
)
2
35)
Solve:
y
+ 2 = y - 1
2
28)
Simplify in a + bi form: (3 + 2i)(3 - 2i)(1 + i
)
2
36)
Solve:
x
+ 1 = x + 2
Questions 29 through 31 refer to the following:
37)
Solve by factoring:
3y + 10 - 2 = y
Solve the given expression by completing the square.
[Express the answer in simplest radical form if
necessary.]
2
29)
x
- 6x - 5 = 0
38)
Express
as a fraction with a rational denominator.

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