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Ch 13: PSAT Math - Rational Equations and Expressions: Tutoring Solution

About This Chapter

The Math: Rational Equations and Expressions chapter of this PSAT Prep Tutoring Solution is a flexible and affordable path to learning about rational equations and expressions. These simple and fun video lessons are each about five minutes long and they teach all of the operations associated with rational equations and expressions required in a typical PSAT prep course.

How it works:

  • Begin your assignment or other PSAT prep work.
  • Identify the rational equations and 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 PSAT Prep Tutoring Solution will benefit any student who is trying to learn about rational equations and expressions and prepare for the exam. This resource can help students including those who:

  • Struggle with understanding how to solve a rational equation, multiply and divide rational expressions or any other rational equations and 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 equations and expressions unit
  • Cope with ADD or ADHD
  • Want to get ahead in preparing for the PSAT
  • Don't have access to their PSAT instructor outside of class

Why it works:

  • Engaging Tutors: We make learning about rational equations and 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 PSAT tutor, these video lessons are thoroughly reviewed.
  • Convenient: Imagine a tutor as portable as your laptop, tablet or smartphone. Learn about rational equations and 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:

  • Learn to solve rational equations.
  • Practice multiplying and dividing rational expressions.
  • Explore addition and subtraction of rational expressions.

7 Lessons in Chapter 13: PSAT Math - Rational Equations and Expressions: Tutoring Solution
How to Solve a Rational Equation

1. 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!

Rational Equations: Practice Problems

2. 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.

How to Multiply and Divide Rational Expressions

3. 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.

How to Add and Subtract Rational Expressions

4. 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.

Practice Adding and Subtracting Rational Expressions

5. 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!

Multiplying and Dividing Rational Expressions: Practice Problems

6. 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.

How to Graph x/ln(x)

7. How to Graph x/ln(x)

In this lesson, we explore how to graph the function x/ln x. We carefully explain how this function has a restricted domain and some fascinating features whose complete description involves limits and derivatives.

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