Complex numbers practice
Add, subtract and multiply complex numbers in ten-question sets. Select sums and differences, imaginary monomial products or binomial products and squares.
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Expand grouped products, replace each i² with −1 and combine the real and imaginary terms.
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Sums and differences build confidence with like terms. Imaginary monomial products introduce repeated factors of i and distribution. Binomial practice adds two-factor products, squares and an imaginary factor multiplying two binomials.
The ten-question set balances the selected groups. A single set need not contain every expression shape; New problems produces a fresh reproducible set.
Learning objective
Use distribution and i² = −1 to simplify complex expressions into standard form.
Worked example
14 + 5i.
Distribution gives 12 − 3i + 8i − 2i². Replacing i² with −1 changes −2i² into +2, leaving 14 + 5i.
Teaching notes
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