Equivalent Rational Expression Worksheets

Printable “Rational Expressions” worksheets:
Simplify Rational Expressions
Equivalent Rational Expressions
Add & Subtract Rational Expressions
Multiply Rational Expressions
Divide Rational Expressions
Multiply & Divide Rational Expressions

Examples, solutions, videos, and worksheets to help Algebra II students learn how to define rational expressions and write them in equivalent forms. Find equivalent rational expression in lowest terms, and identify the value(s) of the variable that must be excluded to prevent division by zero.

Equivalent Rational Expressions

Equivalent rational expressions are expressions that represent the same value for all values of the variable, except for values that make the denominator zero.

Creating Equivalent Rational Expressions:
To create an equivalent rational expression, we can multiply both the numerator and the denominator by the same non-zero expression. This is essentially the same as multiplying the fraction by 1, which doesn’t change its value.

Writing equivalent rational expression in lowest terms involves reducing them to their simplest form. This is done by factoring the numerator and denominator and canceling out common factors.

Steps to Simplify Rational Expressions

1. Factor both the numerator and denominator: Break them into their simplest terms using factoring methods (e.g., greatest common factor, difference of squares, or trinomials).
2. Identify excluded values: Determine the values of the variable that would make the denominator equal to zero.
3. Cancel common factors: Simplify by canceling factors that appear in both the numerator and denominator.
4. Write the simplified expression: Ensure the expression is in its simplest form, with any restrictions clearly stated.

Have a look at this video if you need to review how to write Equivalent Rational Expressions in lowest terms.

• Rational Expressions: Writing in Lowest Terms

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More Equivalent Rational Expression Worksheets

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(Answers on the second page.)
Equivalent Rational Expression Worksheet #1
Equivalent Rational Expression Worksheet #2
Equivalent Rational Expression Worksheet #3

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Equivalent Rational Expressions

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