Rational expressions worksheets with answers and solutions

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Rational Expressions Worksheets
Quick Link for All Rational Expressions Worksheets
Detailed Description for All Rational Expressions Worksheets
Benefits of Rational Expressions Worksheets
Printable PDFs for Rational Expressions Worksheets
Section 1-6 : Rational Expressions

Rational Expressions Worksheets

Here is a graphic preview for all of the Rational Expressions Worksheets. You can select different variables to customize these Rational Expressions Worksheets for your needs. The Rational Expressions Worksheets are randomly created and will never repeat so you have an endless supply of quality Rational Expressions Worksheets to use in the classroom or at home. We have graphing quadratic functions, graphing quadratic inequalities, completing the square. We also have several solving quadratic equations by taking the square roots, factoring, with the quadratic formula, and by completing the square.

Our Rational Expressions Worksheets are free to download, easy to use, and very flexible.

These Rational Expressions Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

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Detailed Description for All Rational Expressions Worksheets

Simplifying Radical Expressions Worksheets
These Rational Expressions Worksheets will produce problems for simplifying rational expressions. You may select what type of rational expression you want to use. These Rational Expressions Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Adding and Subtracting Rationals Expressions Worksheets
These Rational Expressions Worksheets will produce problems for adding and subtracting rational expressions. You may select what type of rational expression you want to use. These Rational Expressions Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Multiplying Rationals Expressions Worksheets
These Rational Expressions Worksheets will produce problems for multiplying rational expressions. You may select what type of rational expression you want to use. These Rational Expressions Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Dividing Rationals Expressions Worksheets
These Rational Expressions Worksheets will produce problems for dividing rational expressions. You may select what type of rational expression you want to use. These Rational Expressions Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Dividing Polynomials Worksheets
These Rational Expressions Worksheets will produce problems for dividing polynomials. You may select what type of polynomial you want to use. These Rational Expressions Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Solving Rational Expression Worksheets
These Rational Expressions Worksheets will produce problems for solving rational expressions. You may select what type of problem you want to use. These Rational Expressions Worksheets are a good resource for students in the 5th Grade through the 8th Grade.

Rational Expressions Worksheets kids can learn about Reducing Rational Expressions, Multiplying and Dividing Expressions, Adding and Subtracting Expressions, Complex Expressions, Graphing Rational Functions and Rational(Equations.

Benefits of Rational Expressions Worksheets

Rational Expressions Worksheets help kids in knowing how to solve rational equations by clearing denominators and Identify extraneous solutions in a rational expression.

Rational equations can be useful for representing real-life situations and for finding answers to real problems.

Printable PDFs for Rational Expressions Worksheets

These math worksheets develop problem-solving skills and mathematical skills in students and solving equations will make them gain confidence. Children can download the pdf format of these easily accessible Rational Expressions worksheets to practice and solve questions for free.

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Section 1-6 : Rational Expressions

For problems 1 – 3 reduce each of the following to lowest terms.

\( \displaystyle \frac{{{x^2} - 6x - 7}}{{{x^2} - 10x + 21}}\) Solution
\( \displaystyle \frac{{{x^2} + 6x + 9}}{{{x^2} - 9}}\) Solution
\( \displaystyle \frac{{2{x^2} - x - 28}}{{20 - x - {x^2}}}\) Solution

For problems 4 – 7 perform the indicated operation and reduce the answer to lowest terms.

\( \displaystyle \frac{{{x^2} + 5x - 24}}{{{x^2} + 6x + 8}}\,\centerdot \,\frac{{{x^2} + 4x + 4}}{{{x^2} - 3x}}\) Solution
\( \displaystyle \frac{{{x^2} - 49}}{{2{x^2} - 3x - 5}} \div \frac{{{x^2} - x - 42}}{{{x^2} + 7x + 6}}\) Solution
\( \displaystyle \frac{{{x^2} - 2x - 8}}{{2{x^2} - 8x - 24}} \div \frac{{{x^2} - 9x + 20}}{{{x^2} - 11x + 30}}\) Solution
\( \displaystyle \frac{{\displaystyle \frac{3}{{x + 1}}}}{{\displaystyle \frac{{x + 4}}{{{x^2} + 11x + 10}}}}\) Solution

For problems 8 – 12 perform the indicated operations.

\( \displaystyle \frac{3}{{x - 4}} + \frac{x}{{2x + 7}}\) Solution
\( \displaystyle \frac{2}{{3{x^2}}} - \frac{1}{{9{x^4}}} + \frac{2}{{x + 4}}\) Solution
\( \displaystyle \frac{x}{{{x^2} + 12x + 36}} - \frac{{x - 8}}{{x + 6}}\) Solution
\( \displaystyle \frac{1}{{{x^2} - 13x + 42}} + \frac{{x + 1}}{{x - 6}} - \frac{{{x^2}}}{{x - 7}}\) Solution
\( \displaystyle \frac{{x + 10}}{{{{\left( {3x + 8} \right)}^3}}} + \frac{x}{{{{\left( {3x + 8} \right)}^2}}}\) Solution

Rational expressions worksheets with answers and solutions