AnswersAlgebra IIOperations with Complex Numbers

Pretest Answers

10 verified answers1 views
1
Free Preview

What is the additive inverse of the complex number negative 8 plus 3 i ?

A
negative 8 plus 3 i
B
8 minus 3 i
C
8 plus 3 i
D
negative 8 minus 3 i
4

Which property of addition is shown in the equation? A plus b i plus 0 plus 0 i is equal to A plus b i

A
commutative property
B
identity property
C
inverse property
D
associative property
5

Which equation illustrates the identity property of multiplication?

A
open paren A plus b i close paren times open paren c plus d i close paren is equal to open paren c plus d i close paren times open paren A plus b i close paren
B
open paren A plus b i close paren times 1 is equal to open paren A plus b i close paren
C
open paren A plus b i close paren times 0 is equal to 0
D
open paren A plus b i close paren times c is equal to open paren A c plus b c i close paren
6

Aiko is finding the sum open paren 4 plus 5 i close paren plus open paren negative 3 plus 7 i close paren She rewrites the sum as open paren negative 3 plus 7 close paren times i plus open paren 4 plus 5 close paren times i Which statement explains the error Aiko made by using a mathematical property incorrectly?

A
Aiko incorrectly used the commutative property by changing the order of the two complex numbers.
B
Aiko incorrectly used the associative property by changing the order of the two complex numbers.
C
Aiko incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.
D
Aiko incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.
7

Which equation shows an example of the associative property of addition?

A
open paren negative 4 plus i close paren plus 4 i is equal to 4 i plus open paren negative 4 i plus i close paren
B
open paren negative 4 plus i close paren plus 4 i is equal to negative 4 plus open paren i plus 4 i close paren
C
4 i times open paren negative 4 i plus i close paren is equal to open paren 4 i minus 4 i close paren plus open paren 4 i times i close paren
D
open paren negative 4 i plus i close paren plus 0 is equal to open paren negative 4 i plus i close paren
8

Which property of addition is shown? A plus b i plus c plus d i is equal to A plus c plus b i plus d i

A
associative property
B
inverse property
C
commutative property
D
identity property
9

What is the additive inverse of the complex number 9 minus 4 i ?

A
9 plus 4 i
B
negative 9 minus 4 i
C
negative 9 plus 4 i
D
9 minus 4 i
10

Which equation demonstrates the additive identity property?

A
open paren 7 plus 4 i close paren plus 0 is equal to 7 plus 4 i
B
open paren 7 plus 4 i close paren plus open paren negative 7 minus 4 i close paren is equal to 0
C
open paren 7 plus 4 i close paren times 1 is equal to 7 plus 4 i
D
open paren 7 plus 4 i close paren plus open paren 7 minus 4 i close paren is equal to 14

Did you find these answers helpful?