Exploring Rational Expression Solutions

This video tutorial covers solving rational equations by setting up proportions and cross-multiplying. It includes three examples, demonstrating how to solve equations, factor quadratics, and check for extraneous solutions. The tutorial emphasizes the importance of ensuring solutions do not result in zero denominators.

What is the first step in solving rational equations?

• Cross multiply immediately

• Combine like terms

• Ensure one fraction on each side of the equation

• Check for extraneous solutions

What must you do after solving the equation for variable W?

• Nothing, the solution is final

• Multiply both sides by W

• Check for extraneous solutions

• Divide both sides by W

How can you solve a quadratic equation?

• Subtracting the variable from both sides

• Using a graphing calculator

• Cross multiplication

• By adding the coefficients

What indicates a solution is extraneous?

• When it simplifies the equation

• When it leads to division by zero

• When it results in a negative number

• When it makes the equation true

What is the correct solution for the equation involving variable K?

• K = 5

• K = 1

• K = 0

• K = -1

Why was K = 1 not a valid solution?

• It resulted in a negative solution

• It was an extraneous solution

• It was not a root of the equation

• It made the denominator zero

What is necessary to add fractions together?

• A common numerator

• A graphing calculator

• Cross multiplication

• A common denominator

What was the final solution for the equation involving variable A?

• A = 5

• A = -5

• A = 0

• A = 1

Why is it important to check for extraneous solutions?

• To make sure the solution is not a fraction

• To ensure the solution simplifies the equation

• To verify the solution does not make the denominator zero

• To confirm the solution is a positive number

What method was used to solve the quadratic equation for variable A?

• Graphing calculator

• Subtracting A from both sides

• Cross multiplication

• Factoring