Solving Equations by Combining Like Terms

This video tutorial focuses on solving equations by combining like terms. It begins with an introduction to the concept and demonstrates the process using an example equation: 8X - 4 - 3X = 6. The tutorial explains how to combine like terms to simplify the equation and then use inverse operations to solve for X. The solution is verified by substituting the value back into the original equation. The video concludes with a recap of the steps involved in solving equations using the skill of combining like terms.

What is the main focus of the video tutorial?

• Solving equations using matrices

• Solving equations by substitution

• Solving equations by combining like terms

• Solving equations by graphing

Why is it necessary to combine like terms in the equation 8X - 4 - 3X = 6?

• To eliminate the constant terms

• To change the equation to a different form

• To simplify the equation to have only one X term

• To make the equation more complex

What is the result of combining the like terms 8X and -3X?

• 11X

• 5X

• 3X

• 1X

What is the first step in solving the equation after combining like terms?

• Multiply both sides by 5

• Add 4 to both sides

• Divide both sides by 5

• Subtract 4 from both sides

What operation is used to isolate X in the equation 5X = 10?

• Subtraction

• Multiplication

• Division

• Addition

What is the value of X in the equation 8X - 4 - 3X = 6?

• 1

• 3

• 4

• 2

How can you verify the solution of the equation?

• By substituting the value of X back into the original equation

• By using a calculator to find the derivative

• By solving a different equation

• By graphing the equation

What should the result be when you substitute X = 2 back into the original equation?

• 4

• 5

• 6

• 7

What is the purpose of combining like terms in an equation?

• To increase the number of variables

• To make the equation more complex

• To simplify the equation

• To change the equation's solution

What is the final step in solving the equation after verifying the solution?

• Graphing the solution

• Combining terms again

• Checking the solution

• Rewriting the equation