Solving Rational Equations

The video tutorial explains how to solve rational equations by identifying excluded values, which are values that make the denominator zero. It demonstrates solving two equations by finding the least common denominator, simplifying, and isolating variables to find solutions. The tutorial emphasizes the importance of excluding certain values and provides step-by-step guidance for solving each equation.

What is the first step in solving a rational equation?

• Subtract fractions

• Identify excluded values

• Multiply both sides by zero

• Add fractions together

Why are certain values excluded when solving rational equations?

• They make the equation too complex

• They are not integers

• They are negative numbers

• They result in a denominator of zero

What is the least common denominator used in the first equation?

• 5x

• 4x

• 3x

• 2x

What operation is performed after finding the least common denominator?

• Subtracting fractions

• Adding fractions

• Dividing both sides by the least common denominator

• Multiplying both sides by the least common denominator

What is the solution to the first equation after simplification?

• x = 5/2

• x = 2/5

• x = 4/11

• x = 11/4

In the second example, what is the least common denominator?

• 2x

• 4x

• 3x

• 5x

What is the first step in solving the second equation?

• Add fractions

• Subtract fractions

• Multiply both sides by the least common denominator

• Divide both sides by the least common denominator

What is the simplified solution to the second equation?

• x = 8/5

• x = 5/8

• x = 5/4

• x = 4/5

What common factor is used to simplify the solution of the second equation?

• 3

• 5

• 2

• 4

What is the purpose of distributing on the right side of the equation?

• To make the equation more complex

• To simplify the equation

• To add more terms

• To eliminate fractions