Curated OER
Mixing Fertilizer
Your young landscapers do concentration calculations in this problem dealing with mixing fertilizer. Learners use and analyze rational expressions within this context.
Illustrative Mathematics
Dan’s Division Strategy
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...
Illustrative Mathematics
Egyptian Fractions II
The Egyptians used unit fractions to describe all other fractions. Your class will rewrite rational expressions in order to deduce information about rational numbers. The activity starts with specific fractions, guides you through a few...
Noyce Foundation
Fractured Numbers
Don't use use a fraction of the resource — use it all! Scholars attempt a set of five problem-of-the-month challenges on fractions. Levels A and B focus on creating fractions and equivalent fractions, while Levels C, D, and E touch on...
Cool Math
Coolmath: Rationalizing Denominators
This prealgebra lesson explains how to rationalize the denominator.
Wolfram Research
Wolfram Math World: Rational Number
This site gives an overview of rational numbers, gives interesting facts about the rational numbers including countability and probability of a rational numbers denominator being even. The site also contains related links.
Sophia Learning
Sophia: Adding and Subtracting Rational Expressions
This learning tutorial investigates how to add and subtract rational expressions with like and unlike denominators. The lesson includes two videos that demonstrate the process of adding and subtracting rational expressions and four...
Sophia Learning
Sophia: Addition and Subtraction of Rational Expressions
Use the examples to find the least common denominator in order to add and subtract rational expressions.
Texas Instruments
Texas Instruments: Rational Addition, Subtraction
This StudyCard stack covers adding (or subtracting) numerators with simple to complex denominators. The set ends with sums or differences of rational functions with different denominators.
Other
Mainland High School: Algebra Lab: Solving Rational Equations
Rational equations are examined through notes and practice problems. Hints and solutions are included with the practice problems.
Integrated Publishing
Integrated Publishing: Rational and Irrational Numbers
Content, suitable for an introductory algebra course, explains the difference between rational and irrational numbers, how to rationalize the denominator, how to evaluate radicals and the square root process. Practice problems included.
Purple Math
Purplemath: Adding & Subtracting Rational Expressions: Introduction
Finding common denominators is no problem with Purplemath. Use this lesson to learn how to add and subtract rational expressions with these great examples.
Other
Chandler Unified School District: Algebra 2: Solving Rational Equations [Pdf]
A 4-page student handout with exercises on solving rational equations using different methods.
Math Is Fun
Math Is Fun: Using Rational Numbers
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...
Help Algebra
Help algebra.com: How to Rationalize the Denominator
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...
Help Algebra
Help algebra.com: Rationalizing the Denominator
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.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Rationalizing the Denominator
Tells how to rationalize the denominator when the radical has an odd index.
Oswego City School District
Regents Exam Prep Center: Practice With Rational Equations
Exercises are provided for practice with rational equations. Click the "answer" link to check your work.
Oswego City School District
Regents Exam Prep Center: Solving Rational Equations
This mathematics resource consists of notes and examples on how to solve rational equations.
Help Algebra
Help algebra.com: Simplifying Rational Expressions
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.
Oswego City School District
Regents Exam Prep Center: Solving Fractional Equations
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.
Oswego City School District
Regents Exam Prep Center: Adding and Subtracting Fractions
Use this site to learn how to add and subtract algebraic fractions, even if there aren't common denominators. Provides plenty of examples.
Math Is Fun
Math Is Fun: Rationalize the Denominator
The tutorial examines how to rationalize the denominator. The resource consists of detailed examples and explanations about the algebra concept.
National Council of Teachers of Mathematics
The Math Forum: Ask Dr. Math: Zero as Denominator
Math Forum response which explains why zero can not be the denominator of any rational number.