Solving Equations by Combining Like Terms

In this video tutorial, Mr. Besh explains how to solve equations by combining like terms. He begins by introducing the concept and addressing common student concerns about equations with multiple variable terms. The tutorial then demonstrates how to identify and combine like terms, transforming the equation into a simpler two-step equation. Finally, Mr. Besh walks through solving the equation step-by-step, resulting in the solution. The video concludes with a summary of the process and encouragement for students.

What is the main focus of the lesson introduced by Mr. Besh?

• Solving quadratic equations

• Solving equations by factoring

• Solving equations by combining like terms

• Graphing linear equations

Why might students find equations with multiple variable terms confusing?

• They have no solution

• They involve complex numbers

• They don't look like typical equations

• They require graphing

What is the first step in rewriting an equation to fit your comfort zone?

• Graph the equation

• Combine like terms

• Factor the equation

• Add constants to both sides

Which terms are considered 'like terms' in the equation discussed?

• 4 and 5x

• 2x and 3x

• 3x and 4

• 2x and 4

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

• To make the equation more complex

• To simplify the equation

• To eliminate variables

• To change the equation's solution

What operation is performed after combining like terms to solve the equation?

• Multiply both sides by 5

• Subtract 4 from both sides

• Divide both sides by 5

• Add 4 to both sides

What is the result of dividing both sides of the equation by 5?

• x = 35

• x = 7

• x = 5

• x = 0

What is the opposite operation of adding 4 in the context of solving the equation?

• Adding 4

• Subtracting 4

• Multiplying by 4

• Dividing by 4

What is the final value of x in the solved equation?

• x = 8

• x = 7

• x = 6

• x = 5