Operations with Complex Numbers assessment

(9 - 6i) × m = 9 - 6i What is m?

1

The sum of (3 - 5i) + (-2 + 8i) is

1+3i

Multiply and simplify the product. 2i(4 - 5i) Select the product

10 + 8i

Multiply and simplify the product. -12i × 3i Select the product

36

Multiply and simplify the product. (8 - 5i)2 Select the product.

39-80i

(4 + 5i)(4 - 5i) =

41

Find the sum of (-4 + i) and (10 - 5i).

6 - 4i

Add (3 - 5i) + (-2 + 8i).

Sum of real parts: 1 Sum of imaginary parts:3

The product of a complex number and its complex conjugate_____________ is a real number.

always

Which subtraction expression has the difference 1 + 4i?

(3 + 5i) - (2 + i)

In general, ai + bi =

(a+b)i

Subtract (3 + 2i) from (-9 - 8i).

-12 - 10i

Select the correct answer from the choices given (13 + 4i) + n = 0 What is n?

-13 - 4i

Multiply and simplify the product. (3 - 5i)(-2 + 4i) Select the product.

14 + 22i

What is the additive inverse of -2 + 8i?

2 - 8i

Let x = a + bi and y = c + di and z = f + gi Which statements are true? Check all of the boxes that apply.

a) x + y = y + x ⇒ commutative property of addition b) (x * y) * z = x * (y * z) ⇒ associative property of multiplication d) (x + y) + z = x + (y + z) ⇒ associative property of addition

Which property allows you to write the expression [(3 + 7i) + (8 − 6i)] + (1+ 9i) as (3 + 7i) + [(8 − 6i) + (1 + 9i)]?

associative

Which property allows you to write the expression (3 + 7i) + (8 − 6i) as (8 − 6i) + (3 + 7i)?

commutative

The __________________ property allows 3i + 2i to be written as (3 + 2)i.

distributive

Which addition expression has the sum 8 - 3i ?

(9 + 4i) + (-1 - 7i)

(2 - 7i)(-1 + 4i).

26 + 15i

The sum of 3i + 2i is equal to __i.

5

(3 + 8i)(3 - 8i) =

73

Subtract (5 − 2i) − (1 + 8i). Which property allows you to write the expression as 5 − 2i − 1 − 8i?

distributive What is the real part of the difference? 4 What is the imaginary part of the difference? -10 The difference is 4 - 10i