Quiz 4-2: Complex Numbers, Equations with Complex Solutions

Michael and Abigail are exploring the world of imaginary numbers! Can you help them simplify this expression?
1. √-64 = ____________

• 8i

• -8

• 64i

• -8i

Tags

CCSS.HSN.CN.A.1

Emma and William are on a math adventure! They stumble upon a mysterious expression. Can you help them simplify it?
2√-108 = ____________

• 12i√3

• 6i√6

• 24i

• 18i√2

Evelyn and Grace are working together on a math puzzle. They come across this challenge:
Help them simplify the expression.
3. (-5i)(-3i) = ____________

• -15

• 15i

• -9i

• 15

Tags

CCSS.HSN.CN.A.2

• -14i

• 14i

• -2i

• -7i

Tags

CCSS.HSN.CN.C.8

Olivia and Mason are working together to simplify complex numbers. Can you help them out?
5. (8 + 3i) + (-6 - 12i) = ____________

• 2 - 9i

• 14 + 15i

• -14 - 9i

• 2 + 9i

Tags

CCSS.HSN.CN.A.2

Sophia and Samuel are working together to simplify complex numbers. Can you help them solve this one?
6. (5 - 9i) - (1 + 4i) = ____________

• 4 - 13i

• 6 - 5i

• 4 + 13i

• -4 - 5i

Tags

CCSS.HSN.CN.A.2

Mason and Luna are working together to simplify complex numbers. Can you help them out?
What is (9 + 5i)(4 - 2i)?

• 46 + 14i

• 38 + 28i

• 36 - 10i

• 48 + 8i

Tags

CCSS.HSN.CN.C.8

• -8 - 6i

• 8 + 6i

• -1 - 9i

• 10 - 6i

Tags

CCSS.HSN.CN.C.8

Abigail and Michael are working together on a math puzzle. Can you help them simplify the following expression?

(20 + 8i) / 4i = ____________

• 2i - 5

• 5 - 2i

• 5 + 2i

• -2i - 5

Tags

CCSS.HSN.CN.A.3

Lily and Mason are working together to simplify complex expressions. Can you help them out?
10. What is the simplified form of (4 - 4i) / (10 - 2i)?

• (1 - i)/3

• (2 + i)/5

• (2 - 2i)/7

• (1 + i)/3

Tags

CCSS.HSN.CN.A.3