Solving Linear Equations of the Form ax = b

The video tutorial explains how to solve simple algebraic equations systematically. It begins with a basic equation, 7x = 14, and demonstrates how to solve it by understanding multiplication in algebra. The tutorial uses visual aids to illustrate the concept and emphasizes the importance of performing operations on both sides of the equation. It provides examples, such as 3x = 15 and 2y + 4y = 18, to reinforce the systematic approach to solving equations.

What does the equation 7x = 14 mean?

• 7 times x equals 14

• 7 divided by x equals 14

• 7 minus x equals 14

• 7 plus x equals 14

Why don't we use the multiplication sign in algebra when dealing with variables?

• It is too difficult to write

• It can be confused with the variable x

• It is not a standard practice

• It is not necessary

What is the first step in solving the equation 7x = 14 systematically?

• Add 7 to both sides

• Multiply both sides by 7

• Subtract 7 from both sides

• Divide both sides by 7

What does 7x represent in the equation 7x = 14?

• x added to itself 7 times

• x subtracted from itself 7 times

• x divided by 7

• x multiplied by 14

How do you solve the equation 3x = 15?

• Subtract 3 from both sides

• Add 3 to both sides

• Divide both sides by 3

• Multiply both sides by 3

What is the result of dividing both sides of 3x = 15 by 3?

• x = 1

• x = 5

• x = 3

• x = 15

What is an alternative method to solve 3x = 15?

• Add 3 to both sides

• Multiply both sides by 1/3

• Multiply both sides by 3

• Subtract 3 from both sides

How do you simplify the equation 2y + 4y = 18?

• Divide both sides by 2

• Combine like terms to get 6y = 18

• Multiply both sides by 4

• Subtract 4y from both sides

What is the value of y in the equation 2y + 4y = 18?

• y = 4

• y = 2

• y = 3

• y = 6

How can you check if your solution to an equation is correct?

• By guessing

• By substituting the solution back into the original equation

• By asking someone else

• By using a calculator