Solving Linear Equations and Inverse Operations

The video tutorial explains how to solve the equation 2 + 3x = 14 using inverse operations. The teacher introduces the equation, discusses the importance of finding the value of x, and demonstrates solving it by reversing the order of operations. The solution is verified by substituting the value back into the equation to ensure it holds true.

What equation is introduced by the teacher?

• 2x + 3 = 14

• x + 3 = 14

• 3x + 2 = 14

• 2 + 3x = 14

Where did the teacher go for vacation?

• California

• Florida

• Texas

• Michigan

What is the main goal when solving the equation 2 + 3x = 14?

• To find the value of x

• To find the value of y

• To simplify the equation

• To graph the equation

What does the teacher suggest doing to solve the equation?

• Use a calculator

• Graph the equation

• Use inverse operations

• Guess the answer

What is the first step in using inverse operations according to the teacher?

• Undo subtraction

• Undo addition

• Undo division

• Undo multiplication

What operation is used to isolate 3x in the equation 2 + 3x = 14?

• Subtraction

• Division

• Multiplication

• Addition

After subtracting 2 from both sides, what does the equation become?

• x = 12

• 2x = 12

• 3x = 14

• 3x = 12

What is the inverse operation of multiplication used in the equation?

• Division

• Multiplication

• Addition

• Subtraction

What is the value of x after solving the equation 2 + 3x = 14?

• 4

• 2

• 5

• 3

What is the purpose of using inverse operations in solving equations?

• To eliminate the variable

• To find the value of the variable

• To simplify the equation

• To make the equation more complex