Solving Equations with Variables

This video tutorial demonstrates how to solve equations with variables on both sides. It begins by explaining the goal of isolating the variable and proceeds with a step-by-step guide on removing variable terms and constants. The tutorial emphasizes maintaining balance in the equation by performing the same operations on both sides. The process concludes with isolating the variable to find its value. The video encourages viewers to subscribe for more math tutorials.

What is the main goal when solving equations with variables on both sides?

• To remove all coefficients

• To balance the equation

• To isolate the variable

• To find the value of the constant

In the equation 5x + 2 = 3x + 8, which variable term should be removed first?

• 5x

• 3x

• Both terms simultaneously

• Neither term

Why is it recommended to remove the smaller variable term first?

• To balance the equation

• To make calculations easier

• To simplify the equation

• To avoid negative numbers

What is the first step in solving the equation 5x + 2 = 3x + 8?

• Remove the coefficient

• Add a new variable term

• Remove one of the variable terms

• Remove the constant

What operation is used to remove the variable term 3x from the equation?

• Multiplication

• Addition

• Subtraction

• Division

What must be done to maintain balance in an equation when a term is removed?

• Divide both sides by the same number

• Add the same term to both sides

• Multiply both sides by the same number

• Subtract the same term from both sides

Why is it important to perform the same operation on both sides of an equation?

• To remove the constant

• To simplify the equation

• To maintain balance

• To isolate the variable

What happens if you only perform an operation on one side of the equation?

• The equation becomes unbalanced

• The constant is removed

• The equation remains balanced

• The variable is isolated

What is the result of subtracting 3x from both sides of the equation 5x + 2 = 3x + 8?

• 2x + 2 = 8

• 5x = 3x + 8

• 5x - 3x = 8

• 2x = 3x + 8

What is the next step after isolating the variable term on one side of the equation?

• Multiply both sides by a constant

• Add a new variable term

• Remove the constant

• Remove the coefficient