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Illustrative Mathematics

Combined Fuel Efficiency

For Teachers 8th - 11th Standards
Practice simplifying complex fractions and long division of polynomials with this brief exercise. These four questions make a challenging warm-up activity or a short, but comprehensive, follow-up after a detailed lesson on algebraic...
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Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Simplifying Rational Expressions

For Students 9th - 10th Standards
Twenty-seven problems present a variety of problems working with simplifying rational expressions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click the "View...
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Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Multiplying and Dividing Rational Expressions

For Students 9th - 10th Standards
Twenty-one problems present a variety of problems multiplying or dividing and then simplifying rational expressions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem...
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Analyze Math

Analyze Math: Simplify Rational Expressions

For Students 9th - 10th Standards
Learners explore the Pre-Calculus concept of rational expressions. The tutorial examines how to simplify rational expressions. The activity consists of examples and practice exercises with detailed solutions.
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Purple Math

Purplemath: Adding & Subtracting Rational Expressions: Introduction

For Students 9th - 10th Standards
Finding common denominators is no problem with Purplemath. Use this lesson to learn how to add and subtract rational expressions with these great examples.
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Help Algebra

Help algebra.com: Simplifying Rational Expressions

For Students 9th - 10th Standards
The process of factoring and canceling is used to simplify, multiply, and divide rational expressions. Adding and subtracting rational expressions is also demonstrated, including finding common denominators.
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Texas Instruments

Texas Instruments: Rational Functions and Their Asymptotes

For Teachers 9th - 10th Standards
In these questions, students identify asymptotes and removable discontinuities of rational functions, simplify rational expressions, and solve rational equations. Solutions and explanations are included.
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Activity
Oswego City School District

Regents Exam Prep Center: Simplifying (Or Reducing) Fractions

For Students 9th - 10th Standards
At this site from the Oswego City School District, you can learn how to simplify fraction (rational expression) that contain monomials or higher degree polynomials. Reducing fractions is made easier with help from this page.
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Varsity Tutors

Varsity Tutors: Hotmath: Practice Problems: Mixed Expressions and Complex Fractions

For Students 9th - 10th Standards
Ten problems present a variety of problems working with simplifying mixed expressions and complex fractions. They are given with each step to the solution cleverly revealed one at a time. You can work each step of the problem then click...
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Oswego City School District

Regents Exam Prep Center: Practice With Multiplication of Rational Expressions

For Students 9th - 10th Standards
Exercises are provided for practice with multiplying rational expressions containing variables.
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Oswego City School District

Regents Exam Prep Center: Adding and Subtracting Fractions

For Students 9th - 10th Standards
Use this site to learn how to add and subtract algebraic fractions, even if there aren't common denominators. Provides plenty of examples.
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Interactive Mathematics

Interactive Mathematics: Multiplication & Division of Fractions

For Students 9th - 10th Standards
Starting with numerical expressions, this demonstration shows how to simplify algebraic expressions using multiplication and division. Examples are included for practicing the concept.
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Activity
Lawrence Hall of Science

The Math Page: Skill in Algebra: Simplifying Radicals

For Students 9th - 10th Standards
Here is a site that clearly and thoroughly explains simplifying radical expressions. There are example problems solved, problems for the student to attempt, and answers to the student problems. Point this site out to students who have...
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Interactive Mathematics

Interactive Mathematics: Addition & Subtraction of Fractions

For Students 9th - 10th Standards
The addition and subtraction of algebraic expressions is presented with detailed examples and exercises for extra practice.
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Activity
Help Algebra

Help algebra.com: Rationalizing the Denominator

For Students 9th - 10th
Learn to simplify radical expressions by removing radicals from denominators. The demonstration includes both single radicals and binomials that require the use of a conjugate.
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National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Dividing Polynomials

For Students 9th - 10th
Math Forum offers an example of how to simplify a complex rational expression by factoring.
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Activity
Interactive Mathematics

Interactive Mathematics: Simplest Radical Form

For Students 9th - 10th
The laws for simplifying radicals are presented along with several examples and exercises that put the laws to practice.
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Activity
Interactive Mathematics

Interactive Mathematics: Multiplying and Dividing Radicals

For Students 9th - 10th
The methods necessary for multiplying and dividing expressions that contain radicals are presented through several examples and exercises.
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Activity
Texas Instruments

Texas Instruments: Radicals

For Teachers 9th - 10th Standards
In this set of exercises, students will simplify radicals and evaluate expressions with rational exponents. Questions are multiple choice and true/false; solutions are provided.
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Activity
Oswego City School District

Regents Exam Prep Center: Millionaire Radicals

For Students 9th - 10th Standards
In a format like TV's "Who Wants to Be a Millionaire," students answer math questions about radicals to earn points and help their group win the game. Teachers need to create their own question bank, which allows this game to be used for...