Solving Rational Equations Techniques

What method is used when you have a fraction equal to another fraction?

• Cross multiplication

• Factoring

• Least common denominator

• Distributive property

What do you multiply by when solving equations with more than two fractions?

• Numerator of the first fraction

• Greatest common factor

• Denominator of the first fraction

• Least common denominator

In the context of the video, what does LCD stand for?

• Liquid crystal display

• Longest continuous denominator

• Least common denominator

• Lowest common divisor

What is the result of applying the least common denominator to all terms in an equation?

• It makes the equation unsolvable

• It converts the equation to a quadratic form

• It eliminates all the denominators

• It simplifies the equation to a linear form

What is the purpose of factoring in solving rational equations?

• To identify extraneous solutions

• To prepare the equation for the distributive property

• To simplify the equation for cross multiplication

• To find the least common denominator

What is an extraneous solution?

• A solution that does not satisfy the original equation

• A solution that makes the denominator zero

• A solution that satisfies the original equation

• A solution derived from incorrect operations

How do you address a solution that makes the denominator zero?

• Accept it as a valid solution

• Consider it an extraneous solution

• Multiply it by the least common denominator

• Subtract it from both sides of the equation

What is the average speed of the current in the real-world application problem?

• 5 miles per hour

• 3 miles per hour

• 1 mile per hour

• 2 miles per hour

How long does it take Kelsey to travel upstream?

• 1 hour

• 6 hours

• 2 hours

• 5 hours

What equation setup is used to solve for the time Kelsey spends going upstream and downstream?

• Time = Rate x Distance

• Distance = Rate x Time

• Time = Distance / Rate

• Rate = Distance / Time