Answers LAUSD-Algebra II A Prescriptive - SummerPerforming Operations with Complex Numbers

Performing Operations with Complex Numbers Answers

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What is the multiplicative identity of the complex number –4 + 8i?

–4 + 8i

4 – 8i

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

13 + 3i

17 + 3i

24 – 147i

24 + 147i

Which expression is equivalent to ?

–5i – 2

–4i – 2

4i – 2

5i – 2

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

He did not apply the distributive property correctly for 8(1 + 2i).

He did not distribute the subtraction sign correctly for 7 – 3i.

He added the real number and coefficient of i in 8(1 + 2i).

He multiplied the two complex numbers when he should have subtracted.

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

(–7 + i) + 7i = –7 + (i + 7i)

(–7 + i) + 7i = 7i + (–7i + i)

7i × (–7i + i) = (7i – 7i) + (7i × i)

(–7i + i) + 0 = (–7i + i)

What is the additive inverse of the complex number 13 – 2i?

–13 – 2i

–13 + 2i

13 – 2i

13 + 2i

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

20 – 4i

20 + 16i

28 + 16i

28 – 4i

Which property of addition is shown in the equation below? c + di + 0 + 0i = c + di

commutative property

inverse property

identity property

associative property

What is the value of ?

2 – 6i

2 + 6i

3 – 3i

3 + 3i

Which equation illustrates the identity property of multiplication?

(x + yi) × z = (xz + yzi)

(x + yi) × 0 = 0

(x + yi) × (z + wi) = (z + wi) × (x + yi)

(x + yi) × 1 = (x + yi)

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

(8 + 6i) = (6i + 8)

(8 + 6i)(7 – 9i) = (7 – 9i)(8 + 6i)

(8 + 6i)(7 – 9i) = (8 + 6i)(7 – 9i)(1)

(8 + 6i) = (8 + 6i + 0)

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

identity property

associative property

commutative property

inverse property

Which property of addition is shown below? If x = 1 + 2i and y = –1 – 2i, then x + y = 0.

commutative property

identity property

associative property

inverse property

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?

Helene incorrectly used the commutative property by changing the order of the two complex numbers.

Helene incorrectly used the associative property by changing the order of the two complex numbers.

Helene incorrectly used the identity property by combining the real number and the coefficient of the imaginary part.

Helene incorrectly used the distributive property by combining the real number and the coefficient of the imaginary part.

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Performing Operations with Complex Numbers Answers

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