Solving Rational Equations and Inequalities

These lessons, with videos, examples and step-by-step solutions, help Algebra students learn how to solve rational equations and inequalities.

Related Pages
More Lessons for Grade 9 Math
Math Worksheets

The following figure shows how to solve rational equations. Scroll down the page for more examples and solutions.

Solve a rational equation whose LCD is made of three binomials

Example:
(x - 4)/(x2 - 4x - 5) + (x + 3)/(x2 - 25) = (2x + 11)/(x2 + 6x + 5)

Solving Rational Equations and Inequalities Part 1
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the first part of a three part lesson.

Examples:
Solve 10/(2x - 3) = 2
Solve (x - 5)/(x2 - 2x - 8) = (5x - 1)/(x2 - 4)

Solving Rational Equations and Inequalities Part 2
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the second part of a three part lesson.

Examples:
Solve (x - 3)/(x + 4) = ≤ 5

Solving Rational Equations and Inequalities Part 3
This lesson shows how to solve rational equations (3 examples) and inequalities (2 examples). This is the third part of a three part lesson.

Examples:
Solve (x + 3)/(x + 1) = ≥ (x - 2)/(x - 3)

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.