Solving One-Step Equations with Pan Balance

The video tutorial teaches how to solve one-step equations using a pan balance. It begins by explaining the properties of equality and how a pan balance visually represents an equation. The tutorial then demonstrates solving the equation x + 7 = 12 by using counters to represent constants and a bag to represent the variable. By removing counters from both sides of the pan balance, the tutorial shows how to isolate the variable and find the solution, x = 5. The lesson concludes with a summary of the steps involved in solving one-step equations using this method.

What is the main principle behind solving equations using a pan balance?

• Performing different operations on each side of the equation.

• Performing the same operation on both sides of the equation.

• Only adding numbers to both sides of the equation.

• Ignoring the operations on one side of the equation.

What does a pan balance visually represent in the context of equations?

• A visual representation of an equation.

• A way to multiply variables.

• A tool to divide numbers.

• A method to add numbers.

What is the significance of the pan balance being level?

• It suggests the equation is unsolvable.

• It means more counters are needed.

• It shows the equation is true.

• It indicates the equation is false.

In the equation x + 7 = 12, what do the counters on the left side represent?

• The solution to the equation.

• The number 12.

• The constant 7.

• The variable x.

What is the goal when solving the equation x + 7 = 12 using a pan balance?

• To balance the pan with more counters on the right.

• To remove all counters from both sides.

• To determine the number of counters in the bag.

• To add more counters to the left side.

What is the first step in solving the equation x + 7 = 12 using a pan balance?

• Add 12 counters to the left side.

• Multiply both sides by 2.

• Remove 7 counters from the right side.

• Identify the number of counters on each side.

What does the bag represent in the context of the equation?

• The solution to the equation.

• The constant value.

• The variable x.

• The total number of counters.

How do you isolate the variable in the equation x + 7 = 12?

• By dividing both sides by 7.

• By removing 7 counters from both sides.

• By adding 7 counters to both sides.

• By multiplying both sides by 7.

What happens to the pan balance when you remove 7 counters from one side only?

• It solves the equation.

• It becomes unbalanced.

• It remains level.

• It adds more counters automatically.

After isolating the variable, what does the bag represent in the equation x + 7 = 12?

• 7 counters.

• 12 counters.

• 5 counters.

• 0 counters.