Solving Linear Equations and Concepts

In this tutorial, Paul guides viewers through solving first degree equations. He demonstrates the process using two examples, explaining each step in detail, including how to move terms, eliminate fractions, and verify solutions. The video concludes with a summary and encouragement to continue learning algebra.

What is the first step in solving a first-degree equation?

• Divide both sides by the variable

• Subtract the variable from both sides

• Add the same number to both sides

• Multiply both sides by zero

In the equation 2/3X - 4 = 3, what is the value of B?

• X

• 3

• -4

• 2/3

What operation is used to move the B term to the other side of the equation?

• Multiplication

• Division

• Subtraction

• Addition

What is the purpose of adding 4 to both sides in the first example?

• To eliminate the variable

• To balance the equation

• To change the equation

• To find a new solution

After moving the B term, what is the next step in solving the equation 2/3X = 7?

• Multiply both sides by 3

• Divide both sides by 3

• Add 7 to both sides

• Subtract 7 from both sides

What is the value of X in the equation 2/3X = 7?

• 21/2

• 7/2

• 21

• 14

In the first example, what is the result of 2/3X = 7 after multiplying both sides by 3?

• 2X = 7

• X = 21

• 2X = 21

• X = 7

What is the final step in solving the equation 2X = 21?

• Multiply both sides by 2

• Add 21 to both sides

• Subtract 21 from both sides

• Divide both sides by 2

What is the result of multiplying 7 by 3 in the first example?

• 14

• 21

• 3

• 7

How do you verify the solution of an equation?

• By adding the variable to both sides

• By dividing both sides by the variable

• By checking if both sides of the equation are equal after substituting the value of X

• By multiplying both sides by zero