# Ch 27: ACT Math - Complex Numbers: Help and Review

### About This Chapter

## Who's it for?

Anyone who needs help learning or mastering ACT preparation material will benefit from taking this course. There is no faster or easier way to learn ACT topics. Among those who would benefit are:

- Students who have fallen behind in understanding imaginary numbers or complex numbers
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of preparing for the ACT (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about complex numbers
- Students who struggle to understand their teachers
- Students who attend schools without extra ACT preparation resources

## How it works:

- Find videos in our course that cover what you need to learn or review.
- Press play and watch the video lesson.
- Refer to the video transcripts to reinforce your learning.
- Test your understanding of each lesson with short quizzes.
- Verify you're ready by completing the ACT Math - Complex Numbers chapter exam.

## Why it works:

**Study Efficiently:**Skip what you know, review what you don't.**Retain What You Learn:**Engaging animations and real-life examples make topics easy to grasp.**Be Ready on Test Day:**Use the ACT Math - Complex Numbers chapter exam to be prepared.**Get Extra Support:**Ask our subject-matter experts any complex numbers question. They're here to help!**Study With Flexibility:**Watch videos on any web-ready device.

## Students will review:

This chapter helps students review the concepts in a complex numbers unit of a standard ACT prep course. Topics covered include:

- Working with imaginary numbers
- Dividing complex numbers
- Adding, subtracting and multiplying complex numbers
- Solving quadratics with complex numbers as the solution

### 1. What is an Imaginary Number?

An imaginary number is a complex number that results from the square root of a negative number. Find out where the concept of imaginary numbers came from, and learn how to solve problems involving complex numbers and imaginary numbers.

### 2. How to Divide Complex Numbers

Complex numbers are composed of both real and imaginary numbers and are capable of being divided using conjugates comprised of two binomials that are identical apart from the sign on the second term. Learn more about the definition of conjugates and how to divide complex numbers using complex conjugates and multiplying conjugates.

### 3. How to Add, Subtract and Multiply Complex Numbers

Complex numbers are a combination of a real number and an imaginary number that follow rules similar to those for regular numbers. Learn how to add, subtract, multiply and divide complex numbers through demonstrations of each.

### 4. How to Solve Quadratics with Complex Numbers as the Solution

Quadratics, even those with complex number solutions, can be solved using the discriminant, and square roots. Practice this with polynomials, and isolate the variables to solve the equations.

### Earning College Credit

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### Other Chapters

Other chapters within the ACT Prep: Help and Review course

- ACT - About the Test: Help and Review
- ACT English - Section Overview: Help and Review
- ACT English - Punctuation: Help and Review
- ACT English - Grammar and Usage: Help and Review
- ACT English - Sentence Structure: Help and Review
- ACT English - Rhetorical Strategy: Help and Review
- ACT English - Organization: Help and Review
- ACT English - Style: Help and Review
- ACT Math - Overview: Help and Review
- ACT Math - Pre-Algebra: Help and Review
- Decimals, Fractions, and Mixed Numbers
- ACT Math - Algebraic Expressions: Help and Review
- Finding, Estimating, and Simplifying Square Roots
- ACT Math - Radicals: Help and Review
- ACT Math - Linear Equations: Help and Review
- ACT Math - Functions: Help and Review
- ACT Math - Absolute Value: Help and Review
- ACT Math - Matrices: Help and Review
- ACT Math - Inequalities: Help and Review
- ACT Math - Probability: Help and Review
- ACT Math - Data and Statistics: Help and Review
- ACT Math - Exponents: Help and Review
- Mathematical Modelling Uses and Types
- ACT Math - Polynomials and Quadratics: Help and Review
- ACT Math - Rational Equations: Help and Review
- ACT Math - Sequences: Help and Review
- ACT Math - Exponentials and Logarithms: Help and Review
- ACT Math - Coordinate Geometry: Help and Review
- ACT Math - Conic Sections: Help and Review
- ACT Math - Triangles: Help and Review
- ACT Math - Plane Geometry: Help and Review
- ACT Math - Logic in Mathematics: Help and Review
- ACT Math - Trigonometry: Help and Review
- ACT Science Reasoning - Overview: Help and Review
- ACT Science Reasoning - Fundamentals: Help and Review
- ACT Reading - Overview: Help and Review
- ACT Reading - Question Types: Help and Review
- ACT Reading - Understanding Passages: Help and Review
- ACT Reading - Literary Terms: Help and Review
- Types and Examples of Literary Devices Used in Literature
- ACT Reading - Practice: Help and Review
- ACT Writing - Overview: Help and Review
- ACT Writing - Essay Skills: Help and Review
- ACT Writing - Essay Parts: Help and Review
- ACT Writing - Planning: Help and Review
- ACT Writing - Advanced Skills: Help and Review
- ACT Prep Help and Review Flashcards