Ch 10: TExES Physics/Math 7-12: Complex & Imaginary Numbers

About This Chapter

Use the video lessons in this chapter to study complex and imaginary numbers for the TExES Physics/Math 7-12 test. Our lessons and self-assessment quizzes offer a quick and effective way to prepare for the test.

TExES Physics/Math 7-12: Complex & Imaginary Numbers - Chapter Summary

Let our instructors help you review imaginary numbers and arithmetic, graphing and quadratics involving complex numbers. The lessons in this chapter will prepare you for questions on the TExES Physics/Math 7-12 exam that involve:

  • Defining imaginary numbers
  • Adding and subtracting complex numbers
  • Multiplying and dividing complex numbers
  • Graphing complex numbers on the complex plane
  • Solving quadratics with complex numbers as the solution

Our lessons provide a number of features to make studying for the TExES Physics/Math 7-12 test easier. Watch video lessons as often as necessary to be sure you fully understand the materials. If you need a refresher on a key point, use video tags to jump to that section of the video. As an additional tool, read the transcript of the videos. Take the chapter exam to assess your readiness to answer complex and imaginary numbers questions.

5 Lessons in Chapter 10: TExES Physics/Math 7-12: Complex & Imaginary Numbers
Test your knowledge with a 30-question chapter practice test
What is an Imaginary Number?

1. What is an Imaginary Number?

The imaginary number 'i' is the square root of -1. Although this number doesn't actually exist, pretending that it does allows us to do a bunch of crazy math that scientists use every day. Learn the basics of that number 'i' here!

How to Add, Subtract and Multiply Complex Numbers

2. How to Add, Subtract and Multiply Complex Numbers

Knowing that complex numbers exist is the first step. But that knowledge alone won't help you do much with them. Learn the basics of complex number addition, subtraction and multiplication here!

How to Divide Complex Numbers

3. How to Divide Complex Numbers

While adding, subtracting and multiplying complex numbers is pretty straightforward, dividing them can be pretty tricky. It comes down to the process of multiplying by the complex conjugate. Learn about what that is, and how to do it, here.

How to Graph a Complex Number on the Complex Plane

4. How to Graph a Complex Number on the Complex Plane

Graphing complex numbers is pretty straight forward, but it's not necessarily intuitive. Check out this lesson to learn the vocabulary and the conventions that you'll need.

How to Solve Quadratics with Complex Numbers as the Solution

5. How to Solve Quadratics with Complex Numbers as the Solution

When you solve a quadratic equation with the quadratic formula and get a negative on the inside of the square root, what do you do? The short answer is that you use an imaginary number. For the longer, more helpful answer, check out this lesson!

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
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Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
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