Solving Equations and Isolating Variables

The video tutorial covers solving multi-step equations using a structured five-step approach. It begins with an introduction to the method, followed by several examples demonstrating how to apply each step, including distributing, combining like terms, isolating variables, and handling coefficients. The tutorial emphasizes the importance of following the steps in order and provides tips for dealing with negative numbers and complex equations.

What is the first step in solving multi-step equations?

• Distribute

• Add or subtract constants

• Combine like terms

• Isolate the variable

When should you distribute in an equation?

• When there are parentheses

• When constants are on both sides

• When there are like terms

• When the variable is isolated

What does it mean to combine like terms?

• Adding or subtracting terms with the same variable

• Multiplying terms with different variables

• Dividing terms with the same coefficient

• Adding constants to both sides

How do you isolate the variable in an equation?

• Add the same number to both sides

• Subtract the variable from both sides

• Multiply both sides by the coefficient

• Move all terms with the variable to one side

What is the purpose of adding or subtracting constants in an equation?

• To balance the equation

• To eliminate parentheses

• To isolate the variable

• To simplify the equation

What should you do if the coefficient of the variable is negative?

• Divide both sides by the negative coefficient

• Add the coefficient to both sides

• Subtract the coefficient from both sides

• Multiply both sides by the negative coefficient

Why is it important to follow the steps in order when solving equations?

• To avoid errors and ensure accuracy

• To avoid unnecessary calculations

• To ensure the equation is balanced

• To simplify the process