Solving Rational Equations and Properties

The video tutorial explains how to solve rational equations by using cross multiplication. It begins with an introduction to rational equations and the necessity of creating fractions on both sides of the equation. The tutorial then demonstrates the use of cross multiplication and the distributive property to simplify the equation. The process of solving the equation involves isolating the variable and simplifying the result. The tutorial concludes with the final solution, including a simplified form of the answer.

What is the first step in solving a rational equation?

• Simplify both sides

• Create fractions on both sides

• Add numbers to both sides

• Subtract numbers from both sides

What method is used to solve rational equations involving fractions?

• Subtraction

• Division

• Addition

• Cross multiplication

What property is used when multiplying a number outside a parenthesis?

• Identity property

• Commutative property

• Distributive property

• Associative property

After removing fractions, what is the next step in solving the equation?

• Divide both sides by a constant

• Multiply both sides by a constant

• Move variables to one side

• Add variables to both sides

What happens to the equation after applying the distributive property?

• It becomes more complex

• Fractions are introduced

• Variables are eliminated

• It becomes a simple equation

What operation is performed to isolate the variable in the equation?

• Division

• Multiplication

• Subtraction

• Addition

What is the result of dividing -20 by 2?

• -5

• -10

• -15

• -20

What is the simplified form of the fraction -20/38?

• -10/19

• -5/19

• -10/38

• -20/19

What is the purpose of using a calculator in solving equations?

• To verify subtraction

• To check the addition

• To simplify multiplication

• To ensure accuracy in calculations

Why is it important to simplify the final solution?

• To add more fractions

• To introduce more variables

• To make it more complex

• To make it easier to understand