Add and Subtract (Level 1)

This topic focuses on adding and subtracting complex numbers, a fundamental skill within the larger area of complex number operations. Students are required to perform calculations which involve combining or resolving complex numbers expressed in the form \(a + bi\), and simplifying them to standard form. Each problem presents an equation with complex numbers, and multiple choice answers are provided for students to select the correct simplified result. These problems help enhance comprehension and operational ability with complex numbers in mathematical expressions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Complex Numbers - Add and Subtract Worksheet

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Math worksheet on 'Complex Numbers - Add and Subtract (Level 1)'. Part of a broader unit on 'Complex Numbers' Learn online: app.mobius.academy/math/units/complex_numbers/
1
Add or subtract these complex numbers and simplify
A LaTex expression showing (-5 - 5i) - (5 - 4i)
a A LaTex expression showing -10 + 1i
b A LaTex expression showing -10 - 2i
c A LaTex expression showing -8 - 1i
d A LaTex expression showing -12 - 1i
e A LaTex expression showing -9 - 1i
f A LaTex expression showing -10 - 1i
2
Add or subtract these complex numbers and simplify
A LaTex expression showing (-4 - 6i) - (-5 + 2i)
a A LaTex expression showing 1 - 8i
b A LaTex expression showing 1 - 9i
c A LaTex expression showing 3 - 8i
d A LaTex expression showing 1 - 6i
e A LaTex expression showing 1 - 7i
f A LaTex expression showing 1 - 10i
3
Add or subtract these complex numbers and simplify
A LaTex expression showing (-6 + 4i) - (-5 - 4i)
a A LaTex expression showing -1 + 6i
b A LaTex expression showing 1 + 8i
c A LaTex expression showing -2 + 8i
d A LaTex expression showing -1 + 9i
e A LaTex expression showing -1 + 10i
f A LaTex expression showing -1 + 8i
4
Add or subtract these complex numbers and simplify
A LaTex expression showing (4 - 5i) + (2 - 5i)
a A LaTex expression showing 5 - 10i
b A LaTex expression showing 6 - 10i
c A LaTex expression showing 6 - 9i
d A LaTex expression showing 4 - 10i
e A LaTex expression showing 6 - 11i
f A LaTex expression showing 6 + 10i
5
Add or subtract these complex numbers and simplify
A LaTex expression showing (-4 - 4i) - (5 - 3i)
a A LaTex expression showing -7 - 1i
b A LaTex expression showing -9
c A LaTex expression showing -9 - 1i
d A LaTex expression showing 9 + 1i
e A LaTex expression showing -9 + 1i
f A LaTex expression showing -9 - 2i
6
Add or subtract these complex numbers and simplify
A LaTex expression showing (-5 + 4i) + (5 - 3i)
a A LaTex expression showing 1i
b A LaTex expression showing 2i
c A LaTex expression showing -1i
d A LaTex expression showing -2 + 1i
e A LaTex expression showing 0
f A LaTex expression showing 2 + 1i
7
Add or subtract these complex numbers and simplify
A LaTex expression showing (-4 + 2i) - (-3 - 5i)
a A LaTex expression showing -1 + 6i
b A LaTex expression showing 1 - 7i
c A LaTex expression showing -1 - 7i
d A LaTex expression showing -1 + 7i
e A LaTex expression showing -1 + 8i
f A LaTex expression showing -1 + 5i