Solve Rational Equations Worksheets

Printable “Rational Expressions/Equations” worksheets:
Simplify Rational Expressions
Equivalent Rational Expressions
Add & Subtract Rational Expressions
Multiply Rational Expressions
Divide Rational Expressions
Multiply & Divide Rational Expressions
Solve Rational Equations
Rational Equation Word Problem

Examples, solutions, videos, and worksheets to help Algebra II students learn how to Solve Rational Equations, monitoring for the creation of extraneous solutions.

How to Solve Rational Equations worksheets?

A rational equation is an equation that contains one or more rational expressions. Solving such equations involves eliminating the fractions by finding a common denominator and then solving the resulting polynomial equation.

1. Factor the denominators: This helps identify the LCD and excluded values.
2. Find the Least Common Denominator (LCD): Identify the LCD of all rational expressions in the equation.
3. Multiply Through by the LCD: Multiply both sides of the equation by the LCD to eliminate the denominators.
4. Solve the Resulting Equation: Solve the simplified equation, which is usually a polynomial equation.
5. Check for Extraneous Solutions or Excluded Values: Substituting the solutions back into the original equation to ensure they do not make any denominator zero.

Example:

 

Have a look at this video if you need to review how to Solve Rational Equations.

• Solve Rational Equations

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More Rational Equation Worksheets

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(Answers on the second page.)
Solve Rational Equations Worksheet #1
Solve Rational Equations Worksheet #2
Solve Rational Equations Worksheet #3
Solve Rational Equations Worksheet #4

Related Lessons & Worksheets

Solving Rational Equations
Solve Rational Equations

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