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Add and Subtract Complex Numbers>
Add and Subtract Complex Numbers 1Add and Subtract Complex Numbers 1
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Question 1 of 5
1. Question
Solve
`(3+4i)+(8+i)`
Correct
Great Work!
Incorrect
Imaginary equations in the form `a+bi=0` include a real part `a` and an imaginary part `bi`.To solve, group the real parts together and the imaginary parts together, and simplify.`(3+4i)+(8+i)` Remove the parentheses. `=` `color(red)(3)+4i+color(red)(8)+i` Group the real parts together. `=` `color(red)(3)+color(red)(8)+4i+i` Simplify the real parts. `=` `color(red)(11)+4i+i` Simplify the imaginary parts. `=` `11+5i` `11+5i` -
Question 2 of 5
2. Question
Solve
`(-5+9i)+(-5-9i)`
Correct
Great Work!
Incorrect
Imaginary equations in the form `a+bi=0` include a real part `a` and an imaginary part `bi`.To solve, group the real parts together and the imaginary parts together, and simplify.`(-5+9i)+(-5-9i)` Remove the parentheses. `=` `color(red)(-5)+9i+color(red)(-5)-9i` Group the real parts together. `=` `color(red)(-5)+color(red)(-5)+9i-9i` Simplify the real parts. `=` `color(red)(-10)+9i-9i` Simplify the imaginary parts. `=` `-10` `-10` -
Question 3 of 5
3. Question
Solve
`(-1-i)-(6-2i)`
Correct
Great Work!
Incorrect
Imaginary equations in the form `a+bi=0` include a real part `a` and an imaginary part `bi`.To solve, group the real parts together and the imaginary parts together, and simplify.`(-1-i)-(6-2i)` Remove the parentheses. `=` `color(red)(-1)-i-color(red)(6)+2i` Group the real parts together. `=` `color(red)(-1)-color(red)(6)-i+2i` Simplify the real parts. `=` `color(red)(-7)-i+2i` Simplify the imaginary parts. `=` `-7+i` `-7+i` -
Question 4 of 5
4. Question
Solve
`(3-8i)-(-12+2i)`
Correct
Great Work!
Incorrect
Imaginary equations in the form `a+bi=0` include a real part `a` and an imaginary part `bi`.To solve, group the real parts together and the imaginary parts together, and simplify.`(3-8i)-(-12+2i)` Remove the parentheses. `=` `color(red)(3)-8i+color(red)(12)-2i` Group the real parts together. `=` `color(red)(3)+color(red)(12)-8i-2i` Simplify the real parts. `=` `color(red)(15)-8i-2i` Simplify the imaginary parts. `=` `15-10i` `15-10i` -
Question 5 of 5
5. Question
Solve
`(28+14i)-(28-4i)`
Correct
Great Work!
Incorrect
Imaginary equations in the form `a+bi=0` include a real part `a` and an imaginary part `bi`.To solve, group the real parts together and the imaginary parts together, and simplify.`(28+14i)-(28-4i)` Remove the parentheses. `=` `color(red)(28)+14i-color(red)(28)+4i` Group the real parts together. `=` `color(red)(28)-color(red)(28)+14i+4i` Simplify the real parts. `=` `color(red)(0)+14i+4i` Simplify the imaginary parts. `=` `18i` `18i`
Quizzes
- Simplify Roots of Negative Numbers 1
- Simplify Roots of Negative Numbers 2
- Powers of the Imaginary Unit 1
- Powers of the Imaginary Unit 2
- Solve Quadratic Equations with Complex Solutions 1
- Solve Quadratic Equations with Complex Solutions 2
- Equality of Complex Numbers
- Add and Subtract Complex Numbers 1
- Add and Subtract Complex Numbers 2
- Multiply Complex Numbers 1
- Multiply Complex Numbers 2
- Divide Complex Numbers
- Complex Numbers – Product of Linear Factors 1
- Complex Numbers – Product of Linear Factors 2
- Mixed Operations with Complex Numbers