Cross Multiplication in Rational Equations

The video tutorial explains the method of solving rational equations using cross multiplication. It contrasts this method with the LCD method and provides a step-by-step guide on how to apply cross multiplication to find the x-values where two rational expressions intersect. The tutorial also offers tips on simplifying equations and when to use cross multiplication effectively.

What is the primary focus of the method discussed in the video for solving rational equations?

• Graphing the equations

• Cross multiplication

• Using the LCD method

• Substitution method

What is the first step in the cross multiplication method?

• Subtract the numerators

• Multiply the denominator of one side across to the other

• Multiply the denominators

• Add the numerators

When simplifying a rational equation, what should you look for?

• Common factors to cancel

• The highest power of x

• The smallest numerator

• The largest denominator

What is a potential benefit of cross multiplying when solving rational equations?

• It eliminates all variables

• It avoids the need for graphing

• It simplifies the equation by removing common factors

• It always results in a quadratic equation

What happens when you multiply both sides of the equation by a common factor?

• The equation becomes quadratic

• The solution becomes undefined

• The common factor is canceled out

• The equation becomes more complex

What is the result of solving the equation in the video?

• x = 8

• x = 6

• x = 2

• x = 4

What is the significance of the x-coordinate found in the solution?

• It represents the y-intercept

• It is the point of intersection of the rational expressions

• It is the slope of the line

• It is the midpoint of the graph

What should be considered when deciding to use cross multiplication?

• The complexity of the graph

• The number of terms on each side

• The size of the numerators

• The presence of unique denominators

Why might cross multiplication be preferred over the LCD method?

• It requires fewer calculations

• It is always faster

• It is easier with unique denominators

• It works for all types of equations

What should you do if you encounter unique denominators in a rational equation?

• Use the LCD method

• Graph the equation

• Ignore them

• Consider cross multiplication