Solving Linear Equations Steps

This video tutorial focuses on solving algebraic equations that require more than one step to isolate the variable X. It begins with an introduction to the concept of multi-step equations and emphasizes the importance of isolating the variable. The tutorial then provides detailed, step-by-step solutions to two example problems: 5x - 1 = 4 and 6x + 2 = -4. The instructor explains the process of unwrapping the equation like a present, starting with addition or subtraction and then addressing multiplication or division. The video concludes with a method to check the correctness of the solutions.

What is the main goal when solving equations?

• To simplify the equation

• To eliminate all numbers

• To isolate the variable

• To make both sides of the equation equal

In the equation 5x - 1 = 4, what should be done first?

• Multiply both sides by 5

• Subtract 1 from both sides

• Divide both sides by 5

• Add 1 to both sides

What is the result after adding 1 to both sides of the equation 5x - 1 = 4?

• 5x = 3

• 5x = 5

• 5x = 6

• 5x = 4

What is the next step after obtaining 5x = 5?

• Multiply both sides by 5

• Subtract 5 from both sides

• Divide both sides by 5

• Add 5 to both sides

What is the final value of x in the equation 5x - 1 = 4?

• x = 0

• x = 2

• x = 1

• x = 3

Why do we perform operations in reverse order when solving equations?

• To make the equation more complex

• To follow the order of operations

• To simplify the equation

• To isolate the variable

How can you verify the solution x = 1 for the equation 5x - 1 = 4?

• By checking if x = 1 is a prime number

• By graphing the equation

• By solving a different equation

• By substituting x = 1 back into the equation

What is the first step in solving the equation 6x + 2 = -4?

• Multiply both sides by 6

• Divide both sides by 6

• Subtract 2 from both sides

• Add 2 to both sides