Curated OER
What's a Mixed Expression?
The instructor defines the meaning of a mixed expression and writes an example. She identifies each part, the monomial, and the algebraic expression.
Curated OER
How Do You Simplify a Polynomial Over a Polynomial Using Opposite Binomial Factors?
The teacher explains the many steps in simplifying a rational expression using opposite binomial factors. At first it seems complicated but if you follow along and watch out for your negative numbers you can learn how to simplify this...
Virtual Nerd
How Do You Divide Two Polynomials by Factoring and Canceling?
The rational expression in this example is of a trinomial divided by a trinomial. Learn how to simplify this rational expression. The instructor demonstrates how to factor each trinomial and cancel the like terms to get it in simplest form.
Curated OER
How Do You Simplify an Algebraic Fraction by Canceling Common Factors?
Use prime factorization to simplify this algebraic fraction. When the factorization is done then cancel out all values in which a value from the numerator and a value from the denominator equal 1. And what is left over is then the...
Curated OER
What's an Algebraic Fraction?
In an algebraic fraction, both the numerator and denominator are algebraic expressions. So if it's an algebraic expression divided by an algebraic expression then it's an algebraic fraction. If this sounds confusing, listen to the...
Curated OER
How Do You Solve a Rational Equation With No Solution?
You've got some algebraic fractions in an equation and their denominators are all different. Well, first you need to strategize. Then find the excluded values that make your denominator equal zero because we know the denominator cannot...
Curated OER
How Do You Divide Monomials Using the Greatest Common Factor?
Factor out the greatest common factor to simplify a rational expression. When the greatest common factor is divided out of the numerator and the denominator what is left is the rational expression in simplest form. Watch as the teacher...
Curated OER
What's a Complex Expression with Rational Expressions?
The teacher defines a complex fraction. She writes an example on the whiteboard. She says that any fraction that additionally has another fraction in either the numerator, or the denominator, or both, is a complex fraction.
Curated OER
How Do You Solve a Rational Equation With an Extraneous Solution?
You've got some algebraic fractions in an equation and their denominators are all different. Well, first you need to strategize. Then find the excluded values that make your denominator equal zero because we know the denominator cannot...
Curated OER
How Do You Solve a Rational Equation With Binomials in the Denominator?
You've got some algebraic fractions in an equation and their denominators are all different. Well, first you need to strategize. Then find the excluded values that make your denominator equal zero because we know the denominator cannot...
Curated OER
How Do You Multiply Two Rational Expressions?
Before doing any kind of multiplication, first see if the terms can be reduced. Otherwise the values after multiplying can be very large and would need to be reduced anyway to simplest terms. So check out how to factor the given rational...
Curated OER
How Do You Multiply Quotients of Monomials by Canceling Factors?
Multiply algebraic fractions. But first cancel or reduce the numerators and denominators, then do the multiplying. Cancel out the common factors in these monomials. It is always a good idea to reduce as much as possible before...
Curated OER
What's a Divisor in a Rational Expression?
Divide, dividend, divisor? Will the real divisor please stand up? How do you know which part of a division problem is the divisor when you have a rational expression of algebraic fractions? Just remember it's the second number or the one...
Curated OER
What's a Dividend in a Rational Expression?
In a rational expression the dividend is the number being divided. It's the expression that comes before the division sign.
Curated OER
What's the Least Common Denominator?
Help your class take on the least common denominator by providing them with this informational video. The video gives a definition of the least common denominator and includes an example using two algebraic fractions. This is definitely...
Curated OER
What's the Least Common Denominator?
Help your class take on the least common denominator by providing them with this informational video. The video gives a definition of the least common denominator and includes an example using 2 algebraic fractions. This is definitely a...
Curated OER
What's a Dividend in a Rational Expression?
In a rational expression the dividend is the number being divided. It's the expression that comes before the division sign.
Curated OER
What's a Divisor in a Rational Expression?
Divide, dividend, divisor? Will the real divisor please stand up?! How do you know which part of a division problem is the divisor when you have a rational expression of algebraic fractions? Just remember it's the second number or the...
Curated OER
How Do You Divide a Rational Expression by a Polynomial?
Simplifying this polynomial rational division expression is not as complicated as it looks. Don't get me wrong, there are a lot of steps involved, but you can follow the instructor and learn the steps. I'm sure you already know how to do...
Curated OER
What's a Rational Expression?
A rational expression has a polynomial in the numerator as well as a polynomial in the denominator. The instructor writes out an example for you to see.
Sophia Learning
Sophia: Simplifying Algebraic Fractions
This lesson explains the concept of reduction in the number of terms, number of operations, and degree of terms in a rational expression. Students can watch a video tutorial and then take an online quiz.
Sophia Learning
Sophia: Simplifying Algebraic Fractions
This lesson explains the concept of reduction in the number of terms, number of operations, and degree of terms in a rational expression. Students can watch a video tutorial and then take an online quiz.
Sophia Learning
Sophia: Simplifying Algebraic Fractions
This lesson explains the concept of reduction in the number of terms, number of operations, and degree of terms in a rational expression. Students can watch a video tutorial and then take an online quiz.
Sophia Learning
Sophia: Multiplication Property of Rational Expressions: Lesson 2
This lesson explains the setup for rational expressions when you'd like to multiply expressions. It is 2 of 5 in the series titled "Multiplication Property of Rational Expressions."