Allday Education

Free Multiplying Complex Numbers Worksheet

Ten multiply-complex-numbers problems with an exact answer key, ready to print.

Answer key included
Name: Date:
Multiplying Complex Numbers
1.
(−6+6i)(−1+4i)(-6 + 6i)(-1 + 4i)
2.
(−3+3i)(−3−3i)(-3 + 3i)(-3 - 3i)
3.
(5−5i)(4−5i)(5 - 5i)(4 - 5i)
4.
(2−5i)(−4−5i)(2 - 5i)(-4 - 5i)
5.
(−1−2i)(−5−4i)(-1 - 2i)(-5 - 4i)
6.
(−3+3i)(6−3i)(-3 + 3i)(6 - 3i)
7.
(2−6i)(−5−4i)(2 - 6i)(-5 - 4i)
8.
(3+i)(−4+3i)(3 + i)(-4 + 3i)
9.
(−1−3i)(−5+5i)(-1 - 3i)(-5 + 5i)
10.
(−5+5i)(−3+i)(-5 + 5i)(-3 + i)
Andy · alldayeverydaymath.com
Name: Answer KeyDate:
Multiplying Complex Numbers
1.
(−6+6i)(−1+4i)(-6 + 6i)(-1 + 4i)
Answer: −18−30i-18 - 30i
2.
(−3+3i)(−3−3i)(-3 + 3i)(-3 - 3i)
Answer: 1818
3.
(5−5i)(4−5i)(5 - 5i)(4 - 5i)
Answer: −5−45i-5 - 45i
4.
(2−5i)(−4−5i)(2 - 5i)(-4 - 5i)
Answer: −33+10i-33 + 10i
5.
(−1−2i)(−5−4i)(-1 - 2i)(-5 - 4i)
Answer: −3+14i-3 + 14i
6.
(−3+3i)(6−3i)(-3 + 3i)(6 - 3i)
Answer: −9+27i-9 + 27i
7.
(2−6i)(−5−4i)(2 - 6i)(-5 - 4i)
Answer: −34+22i-34 + 22i
8.
(3+i)(−4+3i)(3 + i)(-4 + 3i)
Answer: −15+5i-15 + 5i
9.
(−1−3i)(−5+5i)(-1 - 3i)(-5 + 5i)
Answer: 20+10i20 + 10i
10.
(−5+5i)(−3+i)(-5 + 5i)(-3 + i)
Answer: 10−20i10 - 20i
Andy · alldayeverydaymath.com

Scroll to see all 10 problems and the answer key on its own page. Printing includes every page.

About this worksheet

Students FOIL two complex numbers and replace i-squared with negative one. The skill that makes complex conjugates and division possible later in the unit.

Want this in multiple choice? Harder numbers? 30 versions?

Built for math teachers. Andy generates custom worksheets across Pre-Algebra, Algebra 1, Geometry, and Algebra 2 with exact answer keys.

Try it for $1

More free worksheets

Adding & Subtracting Complex Numbers

Print free

The Discriminant

Print free

Completing the Square

Print free