Learn to solve a rational equation by multiplying by the LCD

The video tutorial explains how to solve rational equations by eliminating fractions using the least common multiple (LCM). It covers determining the LCM, multiplying each term by it, and applying the distributive property. The tutorial then demonstrates solving a quadratic equation, converting it to a linear equation, and discusses alternative methods like cross multiplication.

What is the purpose of finding the Least Common Multiple (LCM) in solving rational equations?

• To simplify the numerators

• To eliminate the denominators

• To add fractions together

• To change the equation to a linear form

When multiplying each term by the LCM, what property is applied to simplify the equation?

• Associative Property

• Commutative Property

• Distributive Property

• Identity Property

After transforming the equation, what type of equation is initially formed?

• Quadratic Equation

• Rational Equation

• Exponential Equation

• Linear Equation

What happens to the quadratic terms in the equation during the simplification process?

• They are factored out

• They are eliminated

• They are doubled

• They are combined with linear terms

What is an alternative method mentioned for solving rational equations?

• Graphing the equation

• Using the quadratic formula

• Using substitution

• Cross-multiplying rational fractions