Solving Rational Equations Quiz

What is the first step in solving a rational equation by eliminating the denominators?

• Multiply the entire equation by the lowest common denominator

• Divide each term by the highest common factor

• Subtract the denominators from both sides

• Add the numerators together

When solving the equation x^2 - 6x + 8 = 0, what are the solutions?

• x = 1 and x = 7

• x = 4 and x = 2

• x = 0 and x = 8

• x = 3 and x = 5

In the second example, why is it important to treat X-1 as a single quantity?

• To make factoring easier

• To simplify the equation

• To ensure correct multiplication

• To avoid extraneous solutions

What is an extraneous solution?

• A solution that does not satisfy the original equation

• A solution that satisfies the original equation

• A solution that is less than zero

• A solution that is greater than zero

After solving a rational equation, what should you do to ensure the solutions are correct?

• Add the solutions together

• Divide the solutions by the numerators

• Multiply the solutions by the denominators

• Check the solutions by substituting them back into the original equation