Math Problem Statement
1.
What property is primarily used when reordering terms as in (1+i)+(3−i)=(3−i)+(1+i)?
a.
Commutative Property
b.
Associative Property
c.
Distributive Property
d.
Absorptive Property
2.
Calculate the sum of 2+3i, 1−3i, and −3+0i.
a.
0 + i
b.
5i
c.
0 + 0i
d.
−1+0i
3.
When adding the complex numbers 2+3i and 1−2i, what is the sum?
a.
3+5i
b.
3+i
c.
1+i
d.
3−i
4.
What is the real part of the complex number 12i?
a.
12
b.
0
c.
-12
d.
12i
5.
Subtract (7+8i) from (10+10i).
a.
17 + 18i
b.
-3 + 2i
c.
3 + 2i
d.
3 - 2i
6.
What is the imaginary part of the complex number 10−6i?
a.
6
b.
-6i
c.
10
d.
-10
7.
What is the standard form of the complex number represented by the point (-5, 8) in the Cartesian plane?
a.
-5 + 8i
b.
8 - 5i
c.
-8 - 5i
d.
-8 + 5i
8.
What happens when (14+4i)−(7+2i) is calculated?
a.
-14
b.
14 + 4i
c.
7 + 2i
d.
7
9.
Which of the following is a real number?
a.
3
b.
2i
c.
3+3i
d.
i
10.
What is (5+5i)−(3+3i)−(2+i)?
a.
2
b.
0 + i
c.
10 + 10i
d.
5 + 5i
11.
Which complex number has a real part of 15?
a.
15i
b.
4+10i
c.
15−7i
d.
−15
12.
Subtract (8+8i)−(4+4i).
a.
4 + 4i
b.
8 + 8i
c.
12 + 12i
d.
4
13.
Which of the following represents a correct application of the distributive property with complex numbers?
a.
(2+3i)(4+5i)=2(4+5i)+3i(4+5i)
b.
(2+3i)+(4+5i)=2+3+4+5i
c.
(2+3i)+(4+5i)=(2+4)+(3+5)i
d.
(2+3i)−(4+5i)=2−4+3i−5i
14.
Subtract (2+3i) from (5+5i).
a.
-3 + 2i
b.
3 + 2i
c.
7 + 8i
d.
-3 - 2i
15.
Which of the following represents the Cartesian form of the complex number −8−7i?
a.
(-8, 7)
b.
(-7, -8)
c.
(-7, 8)
d.
(-8, -7)
Solution
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Math Problem Analysis
Mathematical Concepts
Complex Numbers
Operations with Complex Numbers
Properties of Complex Numbers
Formulas
-
Theorems
Commutative Property
Associative Property
Distributive Property
Suitable Grade Level
Grades 9-12
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