Solving Rational Equations in Algebra 2

The video tutorial covers solving rational equations using two methods: finding a common denominator and clearing fractions. It explains the importance of identifying excluded values and demonstrates solving complex equations. The tutorial also introduces cross multiplication and addresses extraneous solutions, providing a comprehensive guide to handling rational equations efficiently.

What is the least common denominator of 1/3 and x/4?

• 8

• 16

• 6

• 12

After finding a common denominator, what is the next step in solving a rational equation?

• Multiply both sides by the common denominator

• Subtract the fractions

• Add the fractions together

• Divide both sides by the common denominator

What is the main advantage of the 'Clearing the Fractions' method?

• It is more accurate

• It avoids dealing with fractions

• It uses larger numbers

• It requires fewer steps

What must you check for when solving rational equations with variables in the denominator?

• Common factors

• Perfect squares

• Excluded values

• Prime numbers

What is the least common denominator of 3, x, and 5?

• 3x

• 30

• 5x

• 15x

In the equation 2/3 = x/4, what is the result of cross-multiplying?

• 3x = 8

• 8 = 3x

• 6 = 4x

• 2x = 12

What is an extraneous solution?

• A solution that is not valid

• A solution that is always correct

• A solution that is a fraction

• A solution that simplifies the equation

What is the excluded value for the equation with the denominator x + 3?

• x cannot be 0

• x cannot be -3

• x cannot be 1

• x cannot be 3

What happens if you get an excluded value as a solution?

• It simplifies the equation

• It is the correct solution

• It is ignored

• It is considered an extraneous solution

What is the final solution for the equation if the excluded values are -3 and 3, and the solution obtained is -3?

• Both -3 and 3

• No solution

• 3

• -3