Unit 3 Review - ALG.2

Front

What is the result of (3 + 2i) + (4 - 5i)?

Back

7 - 3i

Front

What is the result of (4 - 2i) - (3 + 6i)?

Back

1 - 8i

Front

What is the value of (2 + 3i)²?

Back

-5 + 12i

Front

What is the result of (7-5i)(7+5i)?

Back

74

Front

Define complex numbers.

Back

Numbers that have a real part and an imaginary part, expressed in the form a + bi.

Front

What is the imaginary unit 'i'?

Back

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

Front

What is the conjugate of a complex number a + bi?

Back

The conjugate is a - bi.

Front

How do you multiply two complex numbers (a + bi)(c + di)?

Back

Use the distributive property: ac + adi + bci + bdi², where i² = -1.

Front

What is the formula for the modulus of a complex number a + bi?

Back

The modulus is √(a² + b²).

Front

What is the result of (a + bi) + (c + di)?

Back

(a + c) + (b + d)i.