Illustrative Mathematics
Illustrative Mathematics: a.apr Combined Fuel Efficiency
The purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context, in this case, the fuel efficiency of a car. A-APR.D.6.
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,...
Lawrence Hall of Science
The Math Page: Skill in Algebra: Multiplying & Dividing Algebraic Fractions
Here is a site that clearly and thoroughly explains multiplying and dividing algebraic fractions (rational expressions). There are example problems solved, problems for the student to attempt, and answers to the student problems. Point...
Illustrative Mathematics
Illustrative Mathematics: A Apr Egyptian Fractions Ii
In this task, learners 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 variable in...
Khan Academy
Khan Academy: Divide Polynomials With Remainders
Rewrite rational expressions of the form a(x)/b(x), where a(x) and b(x) are polynomials, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students receive immediate...
Khan Academy
Khan Academy: Divide Polynomials by Monomials (With Remainders)
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a monomial, in the form q(x)+r(x)/b(x), where q(x) and r(x) are polynomials and the degree of r(x) is less than the degree of b(x). Students...
Khan Academy
Khan Academy: Rational vs. Irrational Expressions
Determine whether an expression that is the combination of two rational/irrational numbers is rational or irrational itself. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
CK-12 Foundation
Ck 12: Algebra: Applications Using Rational Equations
[Free Registration/Login may be required to access all resource tools.] In this lesson students use lowest common denominators to solve applications involving rational equations. Students watch a video tutorial, explore guided notes and...
CK-12 Foundation
Ck 12: 2.5 Simple Rational Models
This section draws on previous sections that explored how to add, subtract, multiply, and divide rational numbers in order to solve real-world problems involving rational equations. It explores how to apply these procedures in order to...
Khan Academy
Khan Academy: Manipulate Expressions Using Structure
Rewrite an expression containing two unknown variables by using a given equation that contains those variables.
Other
Mr. Perez Online Math Tutor: Solving Rational Equations
The mathematics tutorial investigates how to simplify rational equations, find the least common denominator as well as how to solve rational equations. There are notes, examples and an interactive applet as well as a vocabulary puzzle.
Texas A&M University
Wtamu Virtual Math Lab: College Algebra: Rational Exponents
In this tutorial, you will learn what a rational exponent is and how to complete many tasks involving them. Follow step-by-step instructions and examples, view video explanations, and hone your skills with several practice problems.
Texas A&M University
Wtamu Virtual Math Lab: Intermediate Algebra: Rational Exponents
An online tutorial which teaches you how to rewrite a rational exponent in radical notation, simplify an expression that contains a rational exponent, and use rational exponents to simplify a radical expression. Works through example...
Oswego City School District
Regents Exam Prep Center: Rational Equations and Inequalities
The lesson discusses solving rational equations and inequalities. The resource consists of class notes, calculator tips, examples, and practice problems with solutions. The teacher resource includes graphical support for rational equations.
CK-12 Foundation
Ck 12: Algebra: Sums and Differences of Single Variable Expressions
[Free Registration/Login may be required to access all resource tools.] Simplify single variable expressions involving addition and subtraction by combining like terms.
Khan Academy
Khan Academy: Algebra: Arithmetic With Polynomials and Rational Expressions
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication i.e. one can add, subtract, and multiply polynomials.
Varsity Tutors
Varsity Tutors: Hotmath: Practice Problems: Mixed Expressions and Complex Fractions
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...
Khan Academy
Khan Academy: Properties of Exponents Challenge (Rational Exponents)
Rewrite some elaborate exponential expressions that involve fractional exponents and radicals. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Rational Exponents Challenge
Choose equivalent forms of radical and exponential expressions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Combining Like Terms With Rational Coefficients
Practice these problems combining like terms with rational coefficients.
Khan Academy
Khan Academy: Simplify Square Root Expressions
Practice simplifying expressions with multiple radical terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or receive hints.
Khan Academy
Khan Academy: Combining Like Terms With Rational Coefficients
Practice combining like terms for expressions that have rational coefficients. This requires adding and subtracting fractions. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video or...
Sophia Learning
Sophia: Simplifying Radical Expressions
This video lesson demonstrates how to simplify radical expressions by rationalizing the denominator. The tutorial includes detailed examples.
University of Saskatchewan (Canada)
University of Saskatchewan: Easy Rational Function Exercises
Provides a set of basic exercises on rational expressions, complete with solutions and hints for students.