Solving Equations with Inverse Operations

This video tutorial explains how to solve equations of the form a/b * x = c using inverse operations. It emphasizes isolating the variable by applying inverse operations to both sides of the equation. The tutorial provides examples, such as solving 7x = 14 and 1/3x = -9, and combines these operations to solve a more complex equation, 2/3x = -27. The video concludes with verifying the solution to ensure accuracy.

What is the primary goal when solving equations using inverse operations?

• To make both sides of the equation different

• To find the value of the variable

• To eliminate all variables

• To make the equation more complex

In the example '7 times x equals 14', what operation is used to isolate x?

• Division

• Multiplication

• Subtraction

• Addition

How do you eliminate the fraction in the equation '1/3 x equals negative 9'?

• Add 3 to both sides

• Multiply both sides by 3

• Divide both sides by 3

• Subtract 3 from both sides

What is the first step in solving the equation '2/3 x equals negative 27'?

• Add 2 to both sides

• Multiply both sides by 3

• Divide both sides by 2

• Subtract 3 from both sides

After solving an equation, why is it important to check your solution?

• To change the solution

• To ensure the solution is incorrect

• To verify the solution is correct

• To make the equation more complex