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Complex Numbers>
Add and Subtract Complex Numbers>
Add and Subtract Complex Numbers 2Add and Subtract Complex Numbers 2
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Question 1 of 4
1. Question
Solve
`(4+5i)-(-4+5i)`
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.`(4+5i)-(-4+5i)` Remove the parentheses. `=` `color(red)(4)+5i+color(red)(4)-5i` Group the real parts together. `=` `color(red)(4)+color(red)(4)+5i-5i` Simplify the real parts. `=` `color(red)(8)+5i-5i` Simplify the imaginary parts. `=` `8` `8` -
Question 2 of 4
2. Question
Solve
`(-9+5i)-6(-1+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.`(-9+5i)-6(-1+i)` Remove the parentheses. `=` `color(red)(-9)+5i+color(red)(6)-6i` Group the real parts together. `=` `color(red)(-3)+5i-6i` Simplify the real parts. `=` `color(red)(-3)-i` Simplify the imaginary parts. `=` `-3-i` `-3-i` -
Question 3 of 4
3. Question
Solve
`(8+3i)-(2+5i)+(6-3i)`
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.`(8+3i)-(2+5i)+(6-3i)` Remove the parentheses. `=` `color(red)(8)+3icolor(red)(-2)-5i+color(red)(6)-3i` Group the real parts together. `=` `color(red)(8)color(red)(-2)+color(red)(6)+3i-5i-3i` Simplify the real parts. `=` `color(red)(12)+3i-5i-3i` Simplify the imaginary parts. `=` `12-5i` `12-5i` -
Question 4 of 4
4. Question
Solve
`(3-6i)-(9+6i)-(-1-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.`(3-6i)-(9+6i)-(-1-i)` Remove the parentheses. `=` `color(red)(3)-6i-color(red)(9)-6i+color(red)(1)+i` Group the real parts together. `=` `color(red)(3)-color(red)(9)+color(red)(1)-6i-6i+i` Simplify the real parts. `=` `color(red)(-5)-6i-6i+i` Simplify the imaginary parts. `=` `-5-11i` `-5-11i`
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