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MATH-AII
SBH-Blubaugh-Review Real and complex
numbers
1
What is the solution set for A
B
C
D
2
[Exam ID:29PB71] Scan Number:5630
3x 2 + 48 = 0 ?
{6.9, -6.9}
{4, -4}
{2i , -2i }
{4i , -4i }
What is the solution set for (3 x + 1)2 = 0?
F {-1}
1 G {- }
3 1 H { , 1}
3 1 J {-1, - }
3 3
What is the solution to the following equation? ( x - 3)2 = 14
A
B
C
D
4
x
x
x
x
= 3±√14
= 1 or x = 5
= -3±√14
= -5 or x = -1
What is the solution set for F
G
H
J
{-i √6}
{4√5, -4√5}
{i √5, -i √5}
{4i √5, -4i √5}
b 2 + 80 = 0 ?
5
Which is the solution set for (x +5)2 = 0 ?
A
B
C
D
{ -5, 5 }
{ 5 }
{ -5 }
{ 25 }
6
What is the solution set for the given equation? 1 2
x + 18 = 0
2 F {8i , -8i }
G {4i , -4i }
H {6i , -6i }
J {16i , -16i }
7
What is the solution set for x 2 - 16 = 0?
A
B
C
D
8
Which is equivalent to (3 + 5i )2?
F
G
H
J
9
{0, 4}
{-4}
{4}
{-4, 4}
- 16 + 30i
- 16 + 15i
- 16
34
Which is an equivalent form of the following expression? √-49
A
B
C
D
-7
7i
-7i
7
10 What number does i 2 equal?
F -1
G 1
H
J
11 Which is an equivalent form of the following expression? √-9 - 2√-4
A
B
C
D
12
- 7i
- 5i
3 + 8i
-i
Simplify:
4 - 2i 7 + 3i 13 - 17i 29 11 - 14i G
29 11 - 13i H
29 17 - 13i J
29 F
13 Which number is equivalent to (-6 - i ) + 5i - (11 + 13i ) ?
A
B
C
D
-17 - 9i
-17 + 17i
-5 - 9i
-5 + 17i
14 Which complex number is equivalent to (7 - 9i ) - (-1 + 3i )? F
G
H
J
8 - 6i
6 - 12i
8 - 12i
6 - 6i
15 Which is an equivalent form of the following? A
B
C -9
D
16 Which is an equivalent form of the following expression? √-100 - √-4
F
G
H
J
-12i
-8i
-8
8i
17 Which is an equivalent form of the following expression? 2√-9
A
B
C
D
6i
-6
-6i
5i
18 If defined, which is an equivalent form of this expression? 3 5yz 4 • 10x y 4z 3 F
G
H
J
zy 5z 5 2 xz 3 3y 3 z 3 2xy 3 9 10xy 5z 5 19 Which is a true statement?
A 1 = -i
B -i = √-1
C √-1 = i
D i = √1
20 Which is equivalent to the expression below? (1 + 3i )(3 + i )
F
G
H
J
6 + 10i
10i
3 - 10i
6 + 6i
21 Which is an equivalent form of the following expression? √-4 - 3√-25
A
B
C
D
2 + 15i
- 5i
-15
- 13i
22 Which is equivalent to (6 + √7)(5 + √7) ?
F
G
H
J
11 + 2√7
30 + 11√7
30 + 18√7
37 + 11√7
23 What is the simplified form of √6 • √21?
A 21
B 3√14
C 14√3
D 63
24
Which expression is equivalent to ?
F
G
H
J
25 Which is equivalent to A
?
B
C
D
26 Which is not an equivalent form of the following expression? 2 3 √ 4 G
√ 9 F
H
J
4 √ 9 27 Which is equivalent to A
B
C
D
28 Which expression is equivalent to F
G
H
J
?
?
29
Which is equivalent to A
B
C
D
30
Which is equivalent to F 12
G 4
H 8
J 64
?