Solving Rational Equations Using the Least Common Denominator

This lesson teaches how to solve rational equations using the least common denominator. It covers solving proportions by multiplying and dividing by denominators, simplifying expressions through distribution, and understanding rational expressions and equations. The video also demonstrates solving complex rational equations by multiplying and simplifying both sides of the equation.

What is the first step in solving a proportion like 2/3 = x/6?

• Subtract the denominators

• Multiply by the denominators

• Add the numerators

• Divide by the numerators

When distributing a term across parentheses, what should you do?

• Multiply each term inside the parentheses by the term outside

• Divide the term outside by the terms inside

• Subtract the term outside from each term inside

• Add the terms inside the parentheses

How do you check the solution of 1 divided by 1/8?

• Divide by 8

• Add 8

• Multiply by 1/8

• Multiply by the reciprocal of 1/8

What is a rational expression?

• A difference of two polynomial expressions

• A ratio of two polynomial expressions

• A sum of two numbers

• A product of two numbers

In solving the equation 4x/(x-2) = 6/2, what is the value of x?

• x = 2

• x = -6

• x = 4

• x = -4