WorksheetsQuiz 2 Review- Complex, Completing the Sq, Quad For
Total questions: 17
Worksheet time: 1hrs 25mins
Name
Class
Date
1.
Simplify √-28
a)
-√28
b)
-2i√7
c)
2i√7
d)
28i
2.
Simplify:
(10+ 15i) - (48 - 30i)
a)
58 - 45i
b)
58 - 15i
c)
-38 - 15i
d)
-38 + 45i
3.
Calculate:
(1 − 2i) + (-4 + 2i)
(1 − 2i) + (-4 + 2i)
a)
-3
b)
-3 − 4i
c)
5 − 4i
d)
5
4.
Simplify: (−2 + 7i)(4 − 2i)
a)
6+ 32i
b)
−6 + 32i
c)
22+32i
d)
6 + 24i
5.
Simplify: (i)(3i)
a)
-3i
b)
-3
c)
3
d)
2i
6.
What does i2 = ?
a)
-1
b)
√-1
c)
1
d)
-√1
7.
(2i)(3i)
a)
5i
b)
-5
c)
6i
d)
-6
8.
−7i⋅4i
(a)
9.
What is the first step to solving THIS equation by completing the square?
a2 + 10a + 21 = 0
a2 + 10a + 21 = 0
a)
Set the equation equal to zero
b)
Divide 10 by 2 and add the result to both sides
c)
Add a2 and 10a together
d)
Subtract the 21
10.
What did you need to add to both sides to complete the square?
x2−12x+ ___ = 20 + ___
a)
6
b)
36
c)
10
d)
144
11.
Solve by completing the square:
k2 − 12k + 23 = 0
k2 − 12k + 23 = 0
a)
{6 + √13, 6 - √13}
b)
{-6 + √13, -6 - √13}
c)
{6 + √59, 6 - √59}
d)
{-6 + √59, -6 - √59}
12.
Solve the quadratic equation by completing the square:
x2 + 4x - 35 = 5
a)
b)
c)
d)
13.
Solve by Completing the Square: Round to the nearest tenth.
2x2+4x-5=7
Hint: Move the 5 to the other side. Also, you must have a lead number of 1!
a)
-0.4 and -3.4
b)
-2.3 and 4.3
c)
-3.6 and 1.6
d)
no solution
14.
The quadratic equation can be used to solve quadratic equations that cannot be factored.
a)
True
b)
False
15.
Solve using the quadratic formula.
2x2 - 9x - 35 = 0
2x2 - 9x - 35 = 0
a)
x = 7/2, x = -6
b)
x = -5/2, x =5
c)
x = -3/7, x =6
d)
x = -5/2, x = 7
16.
Solve using the quadratic formula...
9x2 = 4 + 7x
a)
b)
c)
d)
No solution
17.
Solve using the Quadratic Formula: −x2+4x=13
a)
2±3i
b)
−2±3i
c)
2±i17
d)
−2±i17
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