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Worksheet
Curated OER

Multiplying and Dividing Rational Expressions

For Students 8th - 9th
In this algebra worksheet, learners simplify rational expressions. They multiply and divide to solve the expressions. There are 9 questions.
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Worksheet
Curated OER

Rational Expressions

For Students 9th - 11th
In this rational expressions worksheet, learners 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 learning exercise, 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...
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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
West Contra Costa Unified School District

Polynomial Division

For Students 9th - 12th Standards
How do you apply the traditional division algorithm to polynomials? Here is an Algebra II lesson that extends the use of the division algorithm to polynomials. After establishing the concept of long division, synthetic division and the...
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Worksheet
Curated OER

Multiplying and Dividing Rational Expressions

For Students 8th - 11th
In this algebra worksheet, students solve rational expression with multiplication and division. They factor and simplify. There are 6 questions with an answer key.
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Worksheet
Curated OER

Adding and Subtracting Rational Expressions

For Students 9th - 11th
In 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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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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Assessment
Concord Consortium

Sloppy Student II

For Students 9th - 12th Standards
Doesn't trying two substitutions prove it is equal? Individuals analyze a given polynomial division problem to determine whether the answer is correct. Classmates continue to determine what values to use that show the answer and the...
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Lesson Plan
Curated OER

Dividing Radical Expressions

For Teachers 8th - 9th
In this algebra worksheet, young scholars simplify 14 complex radical fractions. They find the square roots for both the denominator and numerator, dividing out any factors that are the same to completely simplify the fraction. For the...
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Lesson Plan
Curated OER

Rational Numbers in Lowest Terms

For Teachers 12th - Higher Ed
For this rational numbers worksheet, students write equivalent forms of rational numbers, divide rational numbers, and express them in their lowest terms. This two-page worksheet contains five problems.
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Lesson Plan
EngageNY

Word Problems Leading to Rational Equations

For Students 10th - 12th Standards
Show learners how to apply rational equations to the real world. Learners solve problems such as those involving averages and dilution. They write equations to model the situation and then solve them to answer the question — great...
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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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Lesson Plan
Illustrative Mathematics

Dan’s Division Strategy

For Teachers 5th - 7th Standards
Can Dan make a conjecture about dividing fractions with the same denominators? That is what your scholars are to determine. They must show that if the statement is true, they understand how the quantities were determined, and how the...
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Assessment
Del Mar College

Intermediate Algebra Assessment Review

For Students 9th - 12th Standards
Put on your Algebra cap because this review provides practice on topics such as linear equations, rational expressions, and function problems. All the questions are multiple choice, and while the focus is on a few main sections, there is...
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Lesson Plan
EngageNY

Comparing Methods—Long Division, Again?

For Students 10th - 12th Standards
Remember long division from fifth grade? Use the same algorithm to divide polynomials. Learners develop a strategy for dividing polynomials using what they remember from dividing whole numbers.
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Lesson Plan
Curated OER

Rational Expressions

For Teachers 9th - 11th
Learners simplify rational expressions. In this algebra lesson, students solve rational equations using multiplication and division. They apply properties of exponents and negative exponents to solve the problems.
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Lesson Plan
Willow Tree

Rational vs. Irrational Numbers

For Students 7th - 10th Standards
Build an understanding of rational numbers and their counterpart irrational numbers. Lead learners through an explanation of rational numbers and the ways they can be expressed. Then introduce them to irrational numbers and make...
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Worksheet
Curated OER

Rationals

For Students 9th - 11th
In this algebra worksheet, students divide rational expressions. They find the Least common denominator to simplify the rational expression. There are 8 problems.
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Instructional Video8:18
Corbett Maths

Multiplying Algebraic Fractions

For Students 8th - 12th Standards
Make the complicated look relatively simple. The video shows how multiplication of algebraic fractions is easier when they factor the numerators and denominators. Pupils see which factors will cancel, or divide out, easier when writing...
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Lesson Plan
Virginia Department of Education

Rational Equations

For Students 9th - 12th Standards
Provide guidance and practice of the useful skill: solving rational equations using both an algebraic and graphical approach. Pupils solve increasingly more difficult rational equations using algebraic methods. After, they study steps to...
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Instructional Video5:41
Corbett Maths

Simplifying Algebraic Fractions

For Students 8th - 12th Standards
Simplification is about factoring. While working with rational expressions, pupils must know how to factor. The video shows how the process of finding common factors in algebraic fractions is similar to finding common factors in...
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Lesson Plan
EngageNY

Overcoming a Second Obstacle in Factoring—What If There Is a Remainder?

For Students 10th - 12th Standards
Looking for an alternative approach to long division? Show your classes how to use factoring in place of long division. Increase their fluency with factoring at the same time!
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Worksheet
Curated OER

Simplifying Rational-Fractional Expression

For Students 9th
In this rational and fractional expressions worksheet, 9th graders solve 10 different problems that include simplifying various types of expressions. They simplify into simplest form each of the listed equations, including both rational...