Solving Equations with Variables on Both Sides

The video tutorial covers solving equations with variables on both sides, following a structured approach. It begins with reminders on combining like terms and simplifying equations. The tutorial provides step-by-step solutions for multiple examples, emphasizing moving variables to one side and constants to the other. It includes practice questions for viewers to solve independently, with solutions provided for verification. The tutorial aims to enhance understanding of solving equations through consistent methods and practice.

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

• Isolate the variable

• Move all variables to one side

• Divide by the coefficient

• Combine like terms

What should you do after combining like terms?

• Subtract the variable from one side

• Add constants to both sides

• Move all variables to one side

• None of the above

How do you handle a positive variable on the right side of the equation?

• Multiply both sides by the variable

• Subtract the variable from both sides

• Add the same variable to the left

• Divide both sides by the variable

What is the purpose of moving constants to the right side of the equation?

• To isolate the variable

• To simplify the equation

• All of the above

• To balance the equation

In the process of solving, what is done after moving constants?

• Combine like terms again

• Check the balance of the equation

• Divide or multiply to isolate the variable

• Repeat the steps

What should you always check before moving terms across the equation?

• If like terms can be combined

• If the equation is balanced

• If variables are on one side

• If terms are constants

What mathematical operation is used to eliminate a coefficient of a variable?

• Addition

• Subtraction

• Division

• Multiplication

How do you handle a negative coefficient in front of a variable?

• Multiply by -1

• Add 1 to both sides

• Subtract the variable

• Divide by -1

What is the result of dividing two negative numbers?

• Zero

• A negative number

• Undefined

• A positive number

What additional step is recommended if like terms are present on one side?

• Divide them by the coefficient

• Move them to the other side immediately

• Combine them before moving any terms

• Ignore them and proceed