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Worksheet
Curated OER

Rational Expressions and Equations

For Students 9th - 11th
In this Algebra I/Algebra II worksheet, students reduce, add, subtract, multiply, and divide rational expression. Students also solve rational equations.  The one page worksheet contains twenty-six problems. Answers are not provided.   
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Lesson Plan
Curated OER

Simplifying Complex Rational Expressions

For Teachers 9th - 11th
Here is a practice worksheet that contains 16 problems on simplifying complex fractions. The problems start out basic and gradually be come more complex. There is an example included with two different solution methods shown. 
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Worksheet
Curated OER

Addition and Subtraction of Rational Expressions

For Students 9th - 11th
In this rational expression learning exercise, students add and subtract fractional expressions. They completely factor the numerator and denominator. Explanations and examples are provided at the beginning of the document. This...
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Lesson Plan
Curated OER

Adding and Subtracting forty-Four Rational Expressions with Unlike Denominators

For Teachers 11th - Higher Ed
In this adding and subtracting rational expressions worksheet, pupils perform the indicated operations and simplify forty-four expressions.  These problems involve unlike denominators.
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Lesson Plan
Curated OER

Addition and Subtraction of Rational Expressions

For Teachers 9th - 10th
In this rational expression worksheet, students add and subtract rational expressions. Students identify and use the LCM to simplify each expression. Twenty problems are provided on this one-page worksheet.
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Worksheet
Curated OER

Rational Expressions: Add and Subtract

For Students 9th - 12th
In this rational expression worksheet, students add or subtract rational expressions by finding common denominators. There are 11 multiple choice questions.
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Worksheet
Curated OER

Simplifying Rational Expressions

For Students 8th - 10th
In this algebra worksheet, students identify the properties of rational expressions. They find the domain and range. There are 5 questions with an answer key.
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Lesson Plan
Curated OER

Adding and Subtracting Rational Expressions

For Teachers 8th
In this adding and subtracting rational expressions worksheet, 8th graders solve and complete 7 different problems. First, they simplify each rational expressions given. Then, students state the domain restrictions as they proceed...
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Worksheet
Curated OER

Topic 9.3 - Multiplying and Dividing Rational Expressions

For Students 7th - 9th
In this rational expression worksheet, students simplify 8 rational expressions that are either multiplication or division problems.
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Worksheet
Curated OER

Algebra II Chapter 11 Test

For Students 10th - 11th
In this Algebra II learning exercise, students assess their knowledge of rational algebraic expressions. The three page learning exercise contains a combination of twenty-three multiple choice, short answer, and word problems. Answers...
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Worksheet
Curated OER

Rational Expressions

For Students 9th - 11th
In this rational expressions worksheet, students solve 10 different sets of problems that include the division of various fractional expressions. First, they change the division sign to multiplication. Then, students flip the second...
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Worksheet
Curated OER

Rational Expressions

For Students 11th
In this rational expressions worksheet, 11th graders solve and complete 12 different problems. First, they multiply or divide each rational expression and simplify the results. Then, students add or subtract the rational expressions at...
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Worksheet
Curated OER

Rational Expressions

For Students 9th
In this rational expressions worksheet, 9th graders solve and complete 12 different problems. First, they evaluate each rational expression shown. Then, students simplify and write the solutions in simplified form.
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Lesson Plan
Curated OER

Rational Expressions

For Teachers 8th - 9th
For this rational expressions worksheet, students solve and complete 10 different problems. First, they find the common denominator in each problem. Then, students simplify by either adding or subtracting depending on the sign shown in...
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Worksheet
Curated OER

Rational Expressions

For Students 9th - 10th
In this algebra instructional activity, students identify the solution to rational expressions. They solve word problems using the correct formula and equation set up. There are 10 questions with a bonus.
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Lesson Plan
EngageNY

Solving Rational Equations

For Students 10th - 12th Standards
What do fractions and rational expressions have in common? Everything! Learners use common denominators to solve rational equations. Problems advance from simple to more complex, allowing pupils to fully understand the material before...
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Lesson Plan
K20 LEARN

Driving Rationally: Introduction To Rational Functions And Asymptotes

For Teachers 11th Standards
Calculating average speeds is not as simple as finding an average. The instructional activity introduces class members to rational functions by presenting a problem about finding an average speed for the rest of a trip. Pupils develop an...
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Worksheet
Curated OER

Practice With Complex Fractions

For Students 6th - 8th
For this math worksheet, students find the solutions to the complex fractions. They practice finding the common denominators for each part of the rational expression.
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Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 9th - 11th
For this algebra worksheet, students add and subtract rational expressions using the LCM. They combine like denominators before they add and subtract the expressions. There are 8 questions.
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Worksheet
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Curated OER

Rational Functions

For Students Higher Ed
In this college level Pre-Calculus worksheet students evaluate rational functions, identify the domain, vertical asymptotes, and x- and y-intercepts.  The three page worksheet contains forty problems.  Answers are provided. 
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Worksheet
Curated OER

Rational Equations

For Students Higher Ed
In this college level mathematics worksheet, students solve rational equations and identify the extraneous solutions.  The two page worksheet contains fifty-eight problems.  Answers are included. 
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Unit Plan
Mathematics Vision Project

Module 5: Rational Functions and Expressions

For Students 10th - 12th Standards
Where do those asymptotes come from? Learners graph, simplify, and solve rational functions in the fifth module of a 10-part series. Beginning with graphing, pupils determine the key characteristics of the graphs including an in-depth...
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Lesson Plan
Curated OER

Radical Expressions and Rational Numbers as Exponents

For Teachers 9th - 10th
In this radical expressions worksheet, young scholars find the function value of given functions. They identify the domain of functions. Students write functions without fractional exponents. This three-page worksheet contains 55 problems.
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Worksheet
Curated OER

Solving Rational Equations

For Students 8th - 11th Standards
In this algebra worksheet, learners solve rational equations including two application problems. This worksheet contains explanations to aid in understanding. 

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