Complex Number Operations and Expressions

The video tutorial covers finding equivalent expressions for complex numbers, focusing on the expression 8 + 16i. It demonstrates the use of the distributive property to analyze and match equivalent expressions. The tutorial also explains how to write expressions in the standard form a + bi and solve equations involving complex numbers. Key concepts include distribution, matching expressions, and converting to standard form.

Which expression is equivalent to 8 + 16i?

• 2(4 + 8i)

• 4(2 + 4i)

• 8 + 8i

• 16i + 8

What is the result of distributing 2i in the expression 8 - 4i?

• 8i + 16

• 16i - 8

• 8i - 16

• 16i + 8

Which of the following is NOT an equivalent expression to 8 + 16i?

• -2i(8 - 4i)

• 4(2i - 4)

• 4i(4 - 2i)

• 2(4 + 8i)

What is the result of distributing -4 in the expression 2 - 7i?

• -8 + 28i

• -8 - 28i

• 8 - 28i

• 8 + 28i

After distributing -4 and 3i, what is the combined expression?

• 3 + 34i

• -3 + 34i

• 3 - 34i

• -3 - 34i

What is the equivalent expression for -3 - i?

• 3 + i

• 3 - i

• -3 - i

• -3 + i

Which expression matches -7 + i?

• 7 - i

• -7 + i

• -7 - i

• 7 + i

What is the result of multiplying 2 and 4i with 2 and -4i?

• 12

• 20

• 24

• 16

What is the result of distributing 7i in the expression 4 + i?

• 28 + 7i

• 7 + 28i

• 28i + 7

• 7 + 7i

How do you write 3i cubed in the form a + bi?

• 27 + 0i

• 0 - 27i

• -27 + 0i

• 0 + 27i