Solving Equations with Variables on Both Sides

The video tutorial explains how to solve equations by moving x terms to one side of the equation. It provides two examples, demonstrating the use of inverse operations to simplify and solve two-step equations. The teacher also gives instructions for a class assignment, emphasizing the importance of completing work in class and providing answers for self-checking.

What is the first step in solving equations with variables on both sides?

• Add all constants to one side

• Move x terms to one side

• Multiply both sides by 2

• Divide both sides by the coefficient of x

When moving a term across the equal sign, what operation should be performed?

• Add the term to both sides

• Keep the operation the same

• Use the inverse operation

• Multiply the term by 2

In a two-step equation, what is the inverse operation of subtraction?

• Subtraction

• Addition

• Division

• Multiplication

What is the result of dividing a negative number by a positive number?

• Negative

• Positive

• Zero

• Undefined

In the second example, what is the first step to solve the equation?

• Add 6x to both sides

• Subtract 6x from both sides

• Multiply both sides by 6

• Divide both sides by 6

What should you do if the signs of the terms are different when combining like terms?

• Divide the terms

• Multiply the terms

• Subtract the terms

• Add the terms

What is the answer to the equation in the second example?

• x = -2

• x = 2

• x = 4

• x = -4

How many problems are assigned for in-class work?

• 10

• 12

• 5

• 3

What should you do if you don't get the correct answer for a problem?

• Try a different method

• Ask Mrs. Martin for help

• Guess the answer

• Skip the problem

What is the purpose of the assignment given in class?

• To complete as homework

• To learn new concepts

• To practice solving equations

• To prepare for a test