Conjugates and Dividing Complex Numbers Worksheet with Answer Key

What's on the worksheet

1. Write each number in standard form first, then give its conjugate.
   i(3 - 2i)(1 + i)^2\dfrac{5 - \sqrt{-25}}{5}3i - (4 + 3i)
2. Write each quotient in standard form, with fractions in lowest terms.
   \dfrac{12 - 8i}{-4}\dfrac{-6 + 9i}{3i}\dfrac{20}{4 + 2i}\dfrac{6 + 2i}{-3 + i}\dfrac{4 + \sqrt{-16}}{2 - \sqrt{-4}}
3. Write a quotient in standard form and check it by multiplying back.
4. Test Priya's division by multiplying, and find the correct quotient.
5. Find the reciprocal and the square of 1 plus i, and the reciprocal of the square.
6. Solve a linear equation for the complex number z and check it.
7. Find every complex number z for which z over its conjugate equals i.