Ch 5: Graphing and Rational Equations

About This Chapter

Watch these video lessons and learn how to solve rational equations and discover the steps for graphing reflections. Each lesson is accompanied by a short multiple-choice quiz you can use to check your understanding of these topics.

Graphing and Rational Equations - Chapter Summary and Learning Objectives

Rational equations can have fractions with x's in the denominators, numerators or both. In these lessons, instructors explain how to find the least common denominator towards solving these types of equations. Once you've found the least common denominator, you can learn how to multiply the whole number by that denominator to get rid of all the fractions. Using your previously learned algebra skills, you can then solve the problem.

Mathematical reflections are just 'flips' of objects across lines of reflection where the shape and size aren't changed. In this lesson, you can practice starting at the origin and move on the coordinate plane according to the slope and shift of the equation to find the graph that's 'reflected' on the other side of the x-axis. This chapter can help you understand the following:

  • Concept of mathematical reflections
  • Graphing essentials, including origin, x-axis and y-axis
  • Steps for graphing reflections
  • Methods for finding the least common denominator
  • Steps for solving rational equations after finding the least common denominator

Video Objective
How to Graph Reflections Across Axes, the Origin, and Line Y=X Examine the elements of graphs. Learn what mathematical reflections are and how to graph them using y-axis, x-axis, origin and the line y=x.
Solving Rational Equations and Finding the Least Common Denominator Review how to find the least common denominator for fractions. Find out how to multiply and solve rational equations after you determine the least common denominator.

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

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? 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.