Adding and Subtracting Rational Expressions with Least Common Denominator

What is the first step in solving rational equations using the least common denominator method?

• Multiply each term by the least common denominator

• Factor the denominators

• Identify the least common denominator

• Simplify the equation

Why do we multiply the entire equation by the least common denominator?

• To simplify the numerators

• To eliminate the denominators

• To find the value of X

• To identify the common terms

What happens to the denominators after multiplying by the least common denominator?

• They remain unchanged

• They become the numerators

• They are eliminated

• They are factored

In the second problem, what was the least common denominator identified?

• X - 5 and X

• 4X

• X

• X - 5

How do we treat the minus sign in front of a number when solving rational equations?

• Change it to a plus sign

• Factor it out

• Move it to the numerator

• Ignore it

What is the purpose of skipping steps in solving rational equations as demonstrated in the video?

• To introduce errors

• To complicate the solution

• To make the process faster

• To avoid confusion

What method was used to solve the complex rational equation?

• Simplifying

• Factoring by grouping

• Cross multiplication

• Quadratic formula

Why do we check for discontinuities after finding the solution?

• To ensure the solution is not extraneous

• To identify the least common denominator

• To simplify the equation further

• To multiply the denominators

What does factoring by grouping help to identify in complex rational equations?

• The correct value of X

• Common factors in the equation

• Discontinuities in the solution

• The least common denominator

What is the final step after solving the equation and before confirming the solution?

• Multiply by the least common denominator again

• Check for discontinuities

• Simplify the denominators

• Identify the numerators