Operations with Complex Numbers Answers
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Which property of addition is shown below?If x = a + bi and y = –a – bi, x + y = 0.
A
commutative propertyB
identity propertyC
associative propertyD
inverse property2
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Evaluate when and .
A
29 i
B
29 i minus 20
C
Negative 21 i
D
29
3
Donte simplified the expression below.What mistake did Donte make?
A
He did not apply the distributive property correctly for 4(1 + 3i).B
He did not distribute the subtraction sign correctly for 8 – 5i.C
He added the real number and coefficient of i in 4(1 + 3i).D
He added the two complex numbers instead of subtracted.4
The relationship between voltage, E, current, I, and resistance, Z, is given by the equation E = IZ. If a circuit has a current I = 3 + 2i and a resistance Z = 2 – i, what is the voltage of the circuit?
A
4 – iB
4 + iC
8 + iD
8 + 7i5
Which equation illustrates the identity property of multiplication?
A
(a + bi) × c = (ac + bci)B
(a + bi) × 0 = 0C
(a + bi) × (c + di) = (c + di) × (a + bi)D
(a + bi) × 1 = (a + bi)6
Which equation demonstrates the additive identity property?
A
(7 + 4 i) + (7 minus 4 i) = 14
B
(7 + 4 i) + 0 = 7 + 4 i
C
(7 + 4 i) (1) = 7 + 4 i
D
(7 + 4 i) + (negative 7 minus 4 i) = 0
7
What is the value of (–7 + 3i) – (2 – 6i)?
A
–9 + 9iB
–9 – 3iC
–5 – 3iD
–5 + 9i8
Which property of addition is shown below?a + bi + c + di = a + c + bi + di
A
identity propertyB
associative propertyC
commutative propertyD
inverse property9
Which property of multiplication is shown below? If x = a + bi and y = c + di, x × y = y × x.
A
commutative propertyB
identity propertyC
distributive propertyD
associative propertyDid you find these answers helpful?
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