Solving Multi-Step Equations

This video tutorial covers the process of solving multi-step linear equations. It begins with an introduction to the goal of isolating variables and proceeds with three detailed examples. Each example demonstrates different techniques, such as simplifying both sides, distributing terms, and checking solutions. The tutorial emphasizes the importance of following systematic steps to solve equations effectively.

What is the primary goal when solving a linear equation?

• To add the same number to both sides

• To eliminate all constants

• To isolate the variable on one side

• To multiply both sides by zero

In Example 1, what operation is used to move 4x from the right side of the equation?

• Subtraction

• Addition

• Multiplication

• Division

After isolating the variable in Example 1, what is the solution for x?

• x = 12

• x = 4

• x = -4

• x = 0

How do you verify the solution of a multi-step equation?

• By dividing the solution by two

• By adding the solution to both sides

• By multiplying the solution by zero

• By checking if both sides of the equation are equal after substitution

In Example 2, what is the first step to simplify the equation?

• Multiply both sides by zero

• Subtract constants

• Distribute the numbers outside the parentheses

• Add like terms

What is the solution for n in Example 2?

• n = -3

• n = 3

• n = 0

• n = 5

In Example 3, what operation is used to clear the parentheses?

• Addition

• Subtraction

• Distribution

• Division

What is the solution for y in Example 3?

• y = -1

• y = 1

• y = 2

• y = 0

How do you check if y = -1 is the correct solution in Example 3?

• By dividing the solution by 3

• By multiplying the solution by 2

• By substituting y = -1 into the original equation and verifying both sides are equal

• By adding 1 to both sides of the equation

What is the final step in solving a multi-step equation?

• Multiply by zero

• Check the solution by substitution

• Add all terms

• Subtract the solution from both sides