Purple Math
Purplemath: Multiplying Rational Expressions
Not only will you learn how to multiply and divide rational expressions, but Purplemath shows you what common mistakes are made so you can avoid them.
Cool Math
Coolmath: Dividing by Monomials
This algebra lesson explains how to divide a polynomial by a monomial.
Math Planet
Math Planet: Simplify Rational Expression
An algebraic expression where both the numerator and the denominator are polynomials e.g.(x+3) / x is called a rational expression. Since the denominator can't be zero there are values of x which are excluded from the rational...
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.
Illustrative Mathematics
Illustrative Mathematics: A Apr Egyptian Fractions Ii
In this task, students 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: Reducing Rational Expressions to Lowest Terms
Learn what it means to reduce a rational expression to lowest terms, and how it's done!
Khan Academy
Khan Academy: Intro to Rational Expressions
This lesson will introduce you to rational expressions. You will learn how to determine when a rational expression is undefined and how to find its domain.
Khan Academy
Khan Academy: Algebra Ii: Divide Polynomials by Linear Expressions
Rewrite rational expressions of the form a(x)/b(x), where a(x) is a polynomial and b(x) is a linear binomial, 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)....
Khan Academy
Khan Academy: Algebra Ii: Simplify Rational Expressions: Common Binomial Factors
Factor the numerator and the denominator of a rational expression and cancel out common binomial terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
Khan Academy
Khan Academy: Simplify Rational Expressions: Common Monomial Factors
Factor the numerator and the denominator of a rational expression and cancel out common monomial factors. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive hints.
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: Algebra Ii: Simplify Rational Expressions (Advanced)
Factor the numerator and the denominator of a rational expression using advanced methods, and cancel out common terms. Students receive immediate feedback and have the opportunity to try questions repeatedly, watch a video, or receive...
CK-12 Foundation
Ck 12: Algebra: Multiplication of Monomials by Polynomials
[Free Registration/Login may be required to access all resource tools.] In this lesson students multiply two monomials or a polynomial by a monomial. Students examine guided notes, review guided practice, watch instructional videos and...
Khan Academy
Khan Academy: Simplifying Rational Expressions
Have you learned the basics of rational expression simplification? Great! Now gain more experience with some trickier examples.
Illustrative Mathematics
Illustrative Mathematics: A Cubic Identity
This task presents a challenging exercise in both algebraic manipulations and seeing structure in algebraic expressions (MP 7).
Cuemath
Cuemath: Algebraic Expression
This resource helps with understanding the concept of variables, constants, terms, and coefficients of any algebraic expression. Learn how to simplify algebraic expressions using algebraic formulas and the different types of expressions.
CK-12 Foundation
Ck 12: 2.2 Dividing Rational Expressions
This section investigates the process for dividing rational expressions that are written as fractions. Additionally, it provides opportunities to explore different processes for simplifying rational expressions written as fractions prior...
CK-12 Foundation
Ck 12: Algebra Ii: 2.1 Multiplying Rational Expressions
This section explores several different approaches for multiplying two rational expressions stated as fractions.
Help Algebra
Algebra Help: Operations With Polynomials
This article gives an overview for adding, subtracting, multiplying, and dividing polynomials. Examples are given, but more importantly, they are accompanied with explanations of why the process worked.
Other
Georgia Perimeter College: Polynomials
This resource covers the laws of exponents and operations with polynomials, including FOIL and long division.
Varsity Tutors
Varsity Tutors: Hotmath: Algebra Review: Mixed Expressions
Find a quick, concise explanation of a mixed expression. An example is given and clearly explained.
Interactive Mathematics
Interactive Mathematics: Multiplication & Division of Fractions
Starting with numerical expressions, this demonstration shows how to simplify algebraic expressions using multiplication and division. Examples are included for practicing the concept.
Interactive Mathematics
Interactive Mathematics: Division of Algebraic Expressions
Dividing algebraic expressions is demonstrated with several examples. Methods as simple as using reciprocals are shown, as well as using long division to divide polynomial expressions.