Ch 19: High School Algebra - Rational Expressions: Tutoring Solution
About This Chapter
How it works:
- Begin your assignment or other high school algebra I work.
- Identify the rational expressions concepts that you're stuck on.
- Find fun videos on the topics you need to understand.
- Press play, watch and learn!
- Complete the quizzes to test your understanding.
- As needed, submit a question to one of our instructors for personalized support.
Who's it for?
This chapter of our high school algebra I tutoring solution will benefit any student who is trying to learn rational expressions and earn better grades. This resource can help students including those who:
- Struggle with understanding how to multiply and divide or add and subtract rational expressions, solve rational equations, simplify rational expressions, solve inverse variation equations or any other rational expressions topic
- Have limited time for studying
- Want a cost effective way to supplement their math learning
- Prefer learning math visually
- Find themselves failing or close to failing their rational expressions unit
- Cope with ADD or ADHD
- Want to get ahead in high school algebra I
- Don't have access to their math teacher outside of class
Why it works:
- Engaging Tutors: We make learning rational expressions simple and fun.
- Cost Efficient: For less than 20% of the cost of a private tutor, you'll have unlimited access 24/7.
- Consistent High Quality: Unlike a live high school algebra I tutor, these video lessons are thoroughly reviewed.
- Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn rational expressions on the go!
- Learn at Your Pace: You can pause and rewatch lessons as often as you'd like, until you master the material.
Learning Objectives
- Multiply and divide rational expressions.
- Add and subtract rational expressions.
- Solve rational equations.
- Find the reciprocals of rational expressions, then divide and simplify.
- Simplify complex rational expressions.
- Solve equations of direct variation and 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.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other Chapters
Other chapters within the High School Algebra I: Tutoring Solution course
- High School Algebra - Basic Arithmetic: Tutoring Solution
- High School Algebra - Solving Math Word Problems: Tutoring Solution
- High School Algebra - Decimals and Fractions: Tutoring Solution
- High School Algebra - Percent Notation: Tutoring Solution
- High School Algebra - Real Numbers: Tutoring Solution
- High School Algebra - Exponents and Exponential Expressions: Tutoring Solution
- High School Algebra - Radical Expressions: Tutoring Solution
- High School Algebra - Algebraic Expressions and Equations: Tutoring Solution
- High School Algebra - Properties of Functions: Tutoring Solution
- High School Algebra - Matrices and Absolute Value: Tutoring Solution
- High School Algebra - Working With Inequalities: Tutoring Solution
- High School Algebra - Properties of Exponents: Tutoring Solution
- High School Algebra - Complex and Imaginary Numbers: Tutoring Solution
- High School Algebra - Algebraic Distribution: Tutoring Solution
- High School Algebra - Linear Equations: Tutoring Solution
- High School Algebra - Factoring: Tutoring Solution
- High School Algebra - Graphing and Factoring Quadratic Equations: Tutoring Solution
- High School Algebra - Properties of Polynomial Functions: Tutoring Solution
- High School Algebra - Cubic Equations: Tutoring Solution
- High School Algebra - Quadratic Equations: Tutoring Solution
- High School Algebra - Measurement and Geometry: Tutoring Solution
- High School Algebra - Calculations, Ratios, Percent & Proportions: Tutoring Solution
- High School Algebra - Data, Statistics, and Probability: Tutoring Solution
- High School Algebra - Well-Known Equations: Tutoring Solution