complex numbers 1st sem final review

Front

What is the simplified form of (-9 + 5i) + (3 -2i)?

Back

-6 + 3i

Front

What is the simplified form of (11 - 7i) - (-3 + 12i)?

Back

14 - 19i

Front

What does i² equal?

Back

-1

Front

What is the simplified form of (-6i)(3i)?

Back

18

Front

Multiply 3i(-2 + 4i).

Back

-12 - 6i

Front

What is a complex number?

Back

A number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit.

Front

What is the imaginary unit 'i'?

Back

The imaginary unit 'i' is defined as the square root of -1.

Front

How do you add complex numbers?

Back

Add the real parts and the imaginary parts separately.

Front

How do you subtract complex numbers?

Back

Subtract the real parts and the imaginary parts separately.

Front

What is the product of two complex numbers (a + bi)(c + di)?

Back

ac + adi + bci + bdi², which simplifies to (ac - bd) + (ad + bc)i.