Learning the easy way to solve a a rational equation by using the LCD

The video tutorial explains how to identify and use the Least Common Denominator (LCD) to solve equations. It begins by identifying the LCD as the product of denominators, then demonstrates multiplying each term by the LCD to simplify the equation. The tutorial continues with solving the equation using the distributive property and isolating variables. Finally, it verifies the solution by ensuring it doesn't result in zero in the denominators.

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

• Add all terms together

• Subtract the numerators

• Identify the Least Common Denominator

• Multiply the denominators

When multiplying every term by the LCD, what happens to terms that appear in both the numerator and denominator?

• They divide to one

• They are multiplied by two

• They are added together

• They are subtracted

What property is applied to solve the equation after simplifying it?

• Identity Property

• Commutative Property

• Associative Property

• Distributive Property

How do you isolate the variable in the equation 9X + 21 = 10X - 20?

• Subtract 9X from both sides

• Add 9X to both sides

• Multiply both sides by 10

• Divide both sides by 9

Why is it important to check the solution by plugging it back into the denominators?

• To check if the solution is less than 10

• To confirm the solution does not make the denominators zero

• To verify the solution is a whole number

• To ensure the solution is positive