Education Development Center
Sum of Rational and Irrational is Irrational
Sometimes the indirect path is best. Scholars determine whether the sum of a rational number and an irrational number is irrational. Reading a transcript of a conversation between classmates leads to an indirect proof of this concept.
Illustrative Mathematics
Rational or Irrational?
Is 4 plus the square root of 2 rational or irrational? After your class has gained a basic grasp of rational and irrational numbers, use this worksheet to push them a little further in their understanding. Learners must identify sums and...
Illustrative Mathematics
Discounted Books
Adolescents love to shop, especially when an item is discounted. Here, shoppers only have a set amount of money to spend. Will they be able to make a purchase with the discount and tax added in? Percent discounts can be calculated...
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.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Adding and Subtracting Rational Expressions
Sixteen problems present a variety of practice adding and subtracting 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...
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.
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.
Help Algebra
Help algebra.com: Rational Expressions
In addition to defining rational expressions, this resource demonstrates how to find the excluded values and zeros of the expressions.
University of Saskatchewan (Canada)
University of Saskatchewan: Partial Fraction Decompositions
A short lesson on rational expressions. Includes a definition, examples, and exercises to choose from from introductory, moderate, or advanced.
Lawrence Hall of Science
The Math Page: Skill in Algebra: Adding Algebraic Fractions
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,...
Interactive Mathematics
Interactive Mathematics: Addition & Subtraction of Fractions
The addition and subtraction of algebraic expressions is presented with detailed examples and exercises for extra practice.
Interactive Mathematics
Interactive Mathematics: Factoring and Fractions
Polynomials are the focus of these lessons, concentrating on factoring and special products to work with rational expressions. Interactive tools of Live Math and Scientific Notebook are used to provide animated solutions to the examples....
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.