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Khan Academy

Khan Academy: Equations With One Rational Expression

For Students 9th - 10th Standards
Solve equations that have one rational expression whose numerator and denominator are linear expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Unit Plan
Varsity Tutors

Varsity Tutors: Hotmath: Algebra Review: Rationalizing the Denominator

For Students 9th - 10th
Find a quick, concise explanation of how to rationalize the denominator. Examples are given and clearly explained.
Activity
Math Is Fun

Math Is Fun: Using Rational Numbers

For Students 6th - 8th
This site offers simple examples for adding, subtracting, multiplying, and dividing rational numbers. It also provides examples of writing fractions in simplest form and as mixed numbers or improper fractions. Students can test their...
Activity
Help Algebra

Help algebra.com: How to Rationalize the Denominator

For Students 9th - 10th
What do you do if the denominator contains a radical? This article explains how to rationalize a denominator that contains square roots, higher roots and the sums and differences of square roots. The examples also include problems that...
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.
Interactive
Mangahigh

Mangahigh: Number: Rationalize a Denominator

For Students 9th - 10th
Test your knowledge of rationalizing a denominator by multiplying radicals.
Handout
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rationalizing the Denominator

For Students 9th - 10th
Site gives an explaination on why we rationalize the denominator.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Rationalizing the Denominator

For Students 9th - 10th
Tells how to rationalize the denominator when the radical has an odd index.
Activity
Oswego City School District

Regents Exam Prep Center: Practice With Rational Equations

For Students 9th - 10th
Exercises are provided for practice with rational equations. Click the "answer" link to check your work.
Activity
Oswego City School District

Regents Exam Prep Center: Solving Rational Equations

For Students 6th - 8th Standards
This mathematics resource consists of notes and examples on how to solve rational equations.
Activity
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.
Activity
Oswego City School District

Regents Exam Prep Center: Solving Fractional Equations

For Students 9th - 10th
Use this site to learn how to eliminate the denominators to make solving these equations easier. Examples contain algebraic fractions with monomials and higher degree polynomials in the denominators.
Activity
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.
Activity
Math Is Fun

Math Is Fun: Rationalize the Denominator

For Students 9th - 10th
The tutorial examines how to rationalize the denominator. The resource consists of detailed examples and explanations about the algebra concept.
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Khan Academy

Khan Academy: Add & Subtract Rational Expressions: Like Denominators

For Students 10th
Example: Add and simplify 6/(2x^2-7) + (-3x-8)/(2x^2-7).
Unknown Type
Khan Academy

Khan Academy: Add & Subtract Rational Expressions: Factored Denominators

For Students 10th
Example: Add and simplify x/(2x+1)(x-7) + 2x^2/(2x-3)(x-7).
Handout
Jim Loy

Jimloy.com: Rationalizing the Denominator

For Students 9th - 10th
Read an explanation on how to rationalize the denominator using an example. Using exponents instead of the radical sign, the examples may be difficult to read.
Activity
National Council of Teachers of Mathematics

The Math Forum: Ask Dr. Math: Zero as Denominator

For Students 9th - 10th
Math Forum response which explains why zero can not be the denominator of any rational number.
Unit Plan
CK-12 Foundation

Ck 12: Algebra: Sums and Differences

For Students 10th - 12th Standards
[Free Registration/Login may be required to access all resource tools.] This lesson covers adding and subtracting rational expressions where the denominators are different.
Activity
Lawrence Hall of Science

The Math Page: Skill in Algebra: Adding Algebraic Fractions

For Students 9th - 10th
Here is a site that clearly and thoroughly explains adding algebraic fractions (rational expressions) both with common denominators and with different denominators. There are example problems solved, problems for the student to attempt,...
Activity
Lawrence Hall of Science

The Math Page: Skill in Algebra: Skill in Algebra: Algebraic Fractions

For Students 9th - 10th
Explains how to find a common denominator between two rational expressions and how to reduce a fraction that involves factoring. There are example problems solved, problems for the student to attempt, and answers to the student problems....
Lesson Plan
Illustrative Mathematics

Illustrative Mathematics: A Apr Egyptian Fractions Ii

For Teachers 9th - 10th Standards
In this task, young scholars will rewrite fractions as a sum of distinct unit fractions. To solve the problem, students will rewrite a simple rational expression and will need to study the arithmetic of these unit fractions with a...
Lesson Plan
Khan Academy

Khan: Lsn 12: Exponential Functions, Equations, Expressions and Radicals

For Teachers 9th - 10th
Lesson 2 of 4 for Passport to Advanced Math. Students will build quadratic and exponential functions that model a given context; solve radical equations; work with rational expressions, including fractions with a variable in the...
Unit Plan
Oswego City School District

Regents Exam Prep Center: Radicals

For Teachers 9th - 10th
Material to supplement classroom instruction on radicals: two lessons on radicals and rationalizing denominators with radicals; two practice activities where students can begin to test their skills with radicals; and a teacher resource...