Solving a basic rational equation by multiplying each term by the LCD

The video tutorial covers solving rational expressions by building on previous lessons about fractions. It explains the process of eliminating fractions using the least common denominator (LCD) and solving equations. The tutorial also highlights the importance of checking solutions against constraints, such as ensuring variables do not equal values that would make denominators zero.

What is the first step in solving an equation with fractions?

• Divide by the largest denominator

• Add all fractions together

• Multiply by the least common denominator

• Subtract the smallest fraction

When solving rational equations with variables in the denominator, what must be included in the LCD?

• Both numerical and variable terms

• Only the variable terms

• None of the above

• Only the numerical denominators

After multiplying by the LCD in a rational equation, what is the next step?

• Add all terms together

• Solve the resulting equation

• Divide by the original denominator

• Check for extraneous solutions

Why is it important to check solutions in rational expressions?

• To ensure the solution is a whole number

• To verify the solution does not make any denominator zero

• To check if the solution is less than one

• To confirm the solution is positive

What value must be avoided in the denominator of a rational expression?

• Any fraction

• Zero

• Negative numbers

• One