Ch 25: ACT Math: Rational Equations and Expressions

About This Chapter

Revisit indispensable mathematics topics to prepare for the ACT math exam. Short, user-friendly video lessons with quizzes will help you prepare for success.

ACT Math: Rational Equations and Expressions

The fun and engaging video lessons in this chapter address crucial algebraic concepts. Review the following topics to get ready for the math portion of the ACT:

  • Solving rational equations
  • Adding and subtracting rational expressions
  • Multiplying and dividing rational expressions

Work your way through the video lessons and complete the corresponding exercises for more practice. After you take the quick quizzes, you'll know of any areas that still need more attention.

ACT Math Objectives

The algebra section of your math ACT comprises 55% of the questions. You'll complete problems based on an understanding of pre-algebra and elementary algebra concepts, in addition to the following intermediate algebra topics:

  • Quadratic formula
  • Rational and radical expressions
  • Absolute value equations and inequalities
  • Patterns and sequences
  • Systems of equations
  • Quadratic inequalities

Of the 60 multiple-choice questions, 15% test your understanding of those intermediate algebra concepts. You'll have 60 minutes to choose the correct answers for the math problems, and you may perform your calculations with paper and pencil, or by using an approved model of calculator.

Your review of rational equations and expressions with our video lessons will guide you towards success, especially if you take advantage of the practice exercises and quizzes for immediate feedback.

The math results that you'll receive back from ACT will include a general math score on all the questions, in addition to three sub-scores for combinations of individual areas.

6 Lessons in Chapter 25: ACT Math: Rational Equations and Expressions
Test your knowledge with a 30-question chapter practice test
Rational Equations: Practice Problems

1. 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 Solve a Rational Equation

2. 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!

How to Add and Subtract Rational Expressions

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.

Practice Adding and Subtracting Rational Expressions

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!

How to Multiply and Divide Rational Expressions

5. 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.

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.

Chapter Practice Exam
Test your knowledge of this chapter with a 30 question practice chapter exam.
Not Taken
Practice Final Exam
Test your knowledge of the entire course with a 50 question practice final exam.
Not Taken

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