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