Alg 2 Flashcard

Front

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

Back

-6 + 3i

Front

What is the simplified form of 7/10 + 11/10 i?

Back

7/10 + 11/10 i

Front

Simplify (5i)^2.

Back

-25

Front

What is the simplified form of i^43?

Back

-i

Front

What is the simplified form of (-3 + 2i)(1- 4i)?

Back

5 + 14i

Front

Define complex numbers.

Back

Complex numbers are numbers that have a real part and an imaginary part, expressed in the form a + bi, where a is the real part and b is the imaginary part.

Front

What is the imaginary unit i?

Back

Front

What is the formula for multiplying two complex numbers (a + bi)(c + di)?

Back

(a + bi)(c + di) = ac + adi + bci + bdi^2 = (ac - bd) + (ad + bc)i.

Front

What is the result of i^2?

Back

i^2 = -1.

Front

How do you simplify powers of i?

Back

Powers of i cycle every four: i^1 = i, i^2 = -1, i^3 = -i, i^4 = 1.