About This Chapter
Who's it for?
Anyone who needs help learning or mastering high school algebra I material will benefit from taking this course. There is no faster or easier way to learn high school algebra I. Among those who would benefit are:
- Students who have fallen behind in understanding rational expressions and their solutions
- Students who struggle with learning disabilities or learning differences, including autism and ADHD
- Students who prefer multiple ways of learning math (visual or auditory)
- Students who have missed class time and need to catch up
- Students who need an efficient way to learn about rational expressions
- Students who struggle to understand their teachers
- Students who attend schools without extra math learning 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 rational expressions 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 rational expressions chapter exam to be prepared.
- Get Extra Support: Ask our subject-matter experts any rational expressions 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 rational expressions unit of a standard high school algebra I course. Topics covered include:
- Multiplying and dividing rational expressions
- Adding and subtracting rational expressions
- Finding reciprocals of radical expressions
- Solving equations of direct variation
- Solving equations of inverse variation
1. How to Multiply and Divide Rational Expressions
Multiplying and dividing rational polynomial expressions is exactly like multiplying and dividing fractions. Like fractions, we will reduce. With polynomial expressions we use factoring and canceling. I also give you a little mnemonic to help you remember when you need a common denominator and when you don't.
2. Multiplying and Dividing Rational Expressions: Practice Problems
Let's continue looking at multiplying and dividing rational polynomials. In this lesson, we will look at a couple longer problems, while giving you some practice multiplying and dividing.
3. How to Add and Subtract Rational Expressions
Adding and subtracting rational expressions brings everything you learned about fractions into the world of algebra. We will mix common denominators with factoring and FOILing.
4. Practice Adding and Subtracting Rational Expressions
Adding and subtracting rational expressions can feel daunting, especially when trying to find a common denominator. Let me show you the process I like to use. I think it will make adding and subtracting rational expressions more enjoyable!
5. How to Solve a Rational Equation
A rational equation is one that contains fractions. Yes, we will be finding a common denominator that has 'x's. But no worries! Together we will use a process that will help us solve rational equations every time!
6. Rational Equations: Practice Problems
Mario and Bill own a local carwash and have several complex tasks that they must use rational equations to solve for an answer. Enjoy learning how they solve these equations to help them with some of their day-to-day tasks.
7. Division and Reciprocals of Radical Expressions
Watch this video lesson to learn what you need to do when dividing radical expressions. Learn what you need to look out for before you divide and why you can't leave your radical in your denominator.
8. Simplifying Complex Rational Expressions
When it comes to fractions, things may seem to get really complicated and scary when you have a fraction on top of a fraction. But never fear, after watching this video lesson, you will be able to simplify these expressions like a pro.
9. Solving Equations of Direct Variation
In the real world, we come across a lot of problems that vary directly with each other. You will learn how to solve these types of direct variation problems in this video lesson.
10. Solving Equations of Inverse Variation
After watching this video lesson, you will be able to identify problems where you can use the formula for inverse variation to solve them. Learn what is involved and how easy they are to solve.
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Other chapters within the High School Algebra I: Help and Review course
- High School Algebra - Basic Arithmetic: Help and Review
- High School Algebra - Solving Math Word Problems: Help and Review
- High School Algebra - Decimals and Fractions: Help and Review
- High School Algebra - Percent Notation: Help and Review
- High School Algebra - Real Numbers: Help and Review
- High School Algebra - Exponential Expressions & Exponents: Help & Review
- High School Algebra - Radical Expressions: Help and Review
- Algebraic Equations and Expressions: Help and Review
- High School Algebra - Properties of Functions: Help and Review
- High School Algebra - Matrices and Absolute Value: Help and Review
- High School Algebra - Working With Inequalities: Help and Review
- High School Algebra - Properties of Exponents: Help and Review
- High School Algebra - Complex and Imaginary Numbers: Help and Review
- High School Algebra - Algebraic Distribution: Help and Review
- High School Algebra - Linear Equations: Help and Review
- High School Algebra - Factoring: Help and Review
- Factoring & Graphing Quadratic Equations: Help & Review
- The Properties of Polynomial Functions: Help & Review
- High School Algebra - Cubic Equations: Help and Review
- High School Algebra - Quadratic Equations: Help and Review
- High School Algebra - Measurement and Geometry: Help and Review
- Ratios, Proportions & Percent in Algebra: Help & Review
- Statistics, Probability and Data in Algebra: Help and Review
- High School Algebra - Well-Known Equations: Help and Review