Solving Equations and Operations

This video tutorial covers three examples of solving multi-step equations, focusing on common types such as those with variables on both sides and those requiring the distributive property. The tutorial demonstrates different methods for solving these equations, including moving variables to one side and using inverse operations. It also highlights the importance of careful sign management and provides a detailed walkthrough of each example, ensuring a comprehensive understanding of the concepts.

What is the main focus of this video tutorial?

• Solving quadratic equations

• Understanding multi-step equations

• Learning about linear inequalities

• Exploring single-step equations

Which of the following is a common feature of multi-step equations?

• They involve multiple operations

• They do not include variables

• They always have a single variable

• They are solved in one step

In the first example, what operation is used to move 5x to the other side?

• Division

• Subtraction

• Multiplication

• Addition

What is the result of subtracting 5x from both sides in the first example?

• 3x

• -3x

• -5x

• 5x

What is the final value of X in the first example?

• 8

• 7

• 6

• 5

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

• Multiply variables on both sides

• Divide variables on both sides

• Subtract variables from both sides

• Add variables to both sides

What is the inverse operation of multiplication?

• Division

• Subtraction

• Addition

• Exponentiation

What is the result of dividing -21 by -3?

• -7

• 7

• 3

• -3

What is the purpose of checking the solution in an equation?

• To simplify the equation

• To find a new solution

• To eliminate variables

• To verify the solution is correct

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

• Add variables to both sides

• Subtract variables from both sides

• Multiply variables on both sides

• Divide variables on both sides