Math 4 ACT 2

Front

What is the average of four integers j, j, k, n if it must equal 0?

Back

The average is 0, which means j + j + k + n = 0 or 2j + k + n = 0.

Front

If the average of j, j, k, n is 0, which equation must be true?

Back

k + n = -2j.

Front

Simplify the expression: (7 + 2i)(9 - 6i)

Back

75 - 24i.

Front

Multiply the complex numbers: (4 - 3i)(7 + 2i)

Back

34 - 13i.

Front

Calculate the product: (1 - 2i)(6 + 5i)

Back

16 - 7i.

Front

What is the result of multiplying 6i by (-5 + 10i)?

Back

-30i + 60i².

Front

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

Back

(ac - bd) + (ad + bc)i.

Front

What is the value of i² in complex numbers?

Back

i² = -1.

Front

How do you simplify the expression (a + bi)(a - bi)?

Back

It simplifies to a² + b².

Front

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

Back

The conjugate is a - bi.