AnswersAL-PrecalculusCumulative Exam

Performing Operations with Complex Numbers Answers

10 verified answers1 views
1
Free Preview

Which property of addition is shown below? 3 + 4i + 5 + 6i = 3 + 5 + 4i + 6i

A
identity property
B
associative property
C
commutative property
D
inverse property
3

Helene is finding the sum (9 + 10i) + (–8 + 11i). She rewrites the sum as (–8 + 11)i + (9 + 10)i. Which statement explains the property of addition that she made an error in using?

A
Helene incorrectly used the commutative property by changing the order of the two complex numbers.
B
Helene incorrectly used the associative property by changing the order of the two complex numbers.
C
Helene incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.
D
Helene incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.
5

Daine simplified the expression below. 8(1 + 2i) – (7 – 3i) = 1 + 5iWhat mistake did Daine make?

A
He did not apply the distributive property correctly for 8(1 + 2i).
B
He did not distribute the subtraction sign correctly for 7 – 3i.
C
He added the real number and coefficient of i in 8(1 + 2i).
D
He multiplied the two complex numbers when he should have subtracted.
6

Which equation is an example of the commutative property of multiplication?

A
(8 + 6i) = (6i + 8)
B
(8 + 6i)(7 – 9i) = (7 – 9i)(8 + 6i)
C
(8 + 6i)(7 – 9i) = (8 + 6i)(7 – 9i)(1)
D
(8 + 6i) = (8 + 6i + 0)
7

What is the value of the product (4 – 2i)(6 + 2i)?

A
20 – 4i
B
20 + 16i
C
28 + 16i
D
28 – 4i
8

What is the sum of 15 – 6i and –2 + 9i?

A
13 + 3i
B
17 + 3i
C
24 – 147i
D
24 + 147i
9

What is the value of ?

Question illustration
A
2 – 6i
B
2 + 6i
C
3 – 3i
D
3 + 3i
10

Which expression is equivalent to ?

Question illustration
A
–5i – 2
B
–4i – 2
C
4i – 2
D
5i – 2

Did you find these answers helpful?