Performing Operations with Complex Numbers Answers
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Which expression is equivalent to ?
A
–5i – 2B
–4i – 2C
4i – 2D
5i – 23
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.4
Which equation shows an example of the associative property of addition?
A
(–7 + i) + 7i = –7 + (i + 7i)B
(–7 + i) + 7i = 7i + (–7i + i)C
7i × (–7i + i) = (7i – 7i) + (7i × i)D
(–7i + i) + 0 = (–7i + i)5
What is the additive inverse of the complex number 13 – 2i?
A
–13 – 2iB
–13 + 2iC
13 – 2iD
13 + 2i6
What is the value of the product (4 – 2i)(6 + 2i)?
A
20 – 4iB
20 + 16iC
28 + 16iD
28 – 4i7
What is the value of ?
A
2 – 6iB
2 + 6iC
3 – 3iD
3 + 3i8
Which equation illustrates the identity property of multiplication?
A
(x + yi) × z = (xz + yzi)B
(x + yi) × 0 = 0C
(x + yi) × (z + wi) = (z + wi) × (x + yi)D
(x + yi) × 1 = (x + yi)9
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)10
Which property of addition is shown below? If x = 1 + 2i and y = –1 – 2i, then x + y = 0.
A
commutative propertyB
identity propertyC
associative propertyD
inverse propertyDid you find these answers helpful?
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