Adding and subtracting complex numbers

The  exercise appears under the Algebra II Math Mission and Precalculus Math Mission. This exercise tests students' skills in adding and subtracting complex numbers

Types of Problems
There are two types of problems in this exercise:


 * 1) Add two complex numbers together - Two complex numbers with a real part and an imaginary part are given and the student is required to add both of them.
 * 2) Subtract two complex numbers together - Two complex numbers with a real part and an imaginary part are given and the student is required to subtract the second one from the first one.

Strategies
Knowledge of simplifying expressions with variables will assure success in this exercise
 * 1) The imaginary part can be treated as a variable and the expressions can be solved using algebra.
 * 2) Remember to recheck your answer as students tend to make mistakes with the signs while subtracting the complex numbers, if not careful.

Real-life applications

 * 1) Complex numbers enter into studies of physical phenonomena.
 * 2) Complex numbers are useful in studying number theory, which is the study of the positive integers.