Solving One-Step Equations Using a Pan-Balance

The video tutorial explains the properties of equality and how they apply to solving equations using a pan balance. It demonstrates solving the equation X + 7 = 12 by using counters to represent constants and variables. The tutorial emphasizes the importance of performing the same operation on both sides of the equation to maintain balance. By removing counters from both sides, the solution X = 5 is found, illustrating the concept of solving one-step equations.

What does the property of equality state about operations on both sides of an equation?

• Different operations can be performed on each side.

• The same operation must be performed on both sides.

• Operations on one side do not affect the other side.

• Only addition can be performed on both sides.

In the context of a pan balance, what does it mean when the balance is level?

• The equation is incorrect.

• The equation is true.

• The equation is false.

• The equation is unsolvable.

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

• Remove 7 counters from both sides.

• Remove 12 counters from both sides.

• Add 12 counters to both sides.

• Add 7 counters to both sides.

After removing 7 counters from both sides, what does the bag represent in the equation X + 7 = 12?

• 0 counters

• 5 counters

• 7 counters

• 12 counters

What is the solution to the equation X + 7 = 12?

• X = 0

• X = 7

• X = 12

• X = 5