Solving Equations and Inverse Operations

The video tutorial introduces one-step equations, explaining what an equation is and how to solve it using inverse operations. The teacher provides examples, such as solving 3 + X = 10 and X - 10 = 4, demonstrating the process of isolating the variable by applying inverse operations to both sides of the equation. The lesson emphasizes understanding the concept of equations and the use of inverse operations to maintain balance while solving.

What is a key feature that makes a mathematical statement an equation?

• It is written in English.

• It includes numbers.

• It has an equal sign.

• It contains a variable.

What does the equal sign in an equation signify?

• The equation is a statement.

• Both sides of the equation are equal.

• The equation is a question.

• The equation is incorrect.

Why is it important to isolate the variable in an equation?

• To make the equation longer.

• To make the equation more complex.

• To find the value of the variable.

• To add more numbers to the equation.

What should you do if you cannot solve an equation by inspection?

• Change the equation

• Guess the answer

• Use inverse operations

• Add more numbers

What is the inverse operation of addition?

• Division

• Subtraction

• Multiplication

• Addition

What is the inverse operation of subtraction?

• Division

• Subtraction

• Multiplication

• Addition

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

• To add more variables

• To isolate the variable

• To change the equation

• To make the equation more complex

In the equation 3 + x = 10, what operation would you perform to isolate x?

• Add 3 to both sides

• Subtract 3 from both sides

• Multiply both sides by 3

• Divide both sides by 3

After performing the inverse operation on 3 + x = 10, what is the value of x?

• 3

• 7

• 13

• 10

What is the first step in solving the equation 3 + x = 10?

• Divide both sides by 3

• Multiply both sides by 3

• Subtract 3 from both sides

• Add 10 to both sides