Understanding Equations and Finding Solutions Using a Pan Balance

The video tutorial explains how to solve equations using a pan balance method. It begins by introducing the concept of equations and variables, highlighting common misunderstandings about the equal sign. The tutorial uses examples to demonstrate how both sides of an equation must be balanced. A real-world problem involving the cost of jeans is presented, and the substitution method is used to find the solution. The video emphasizes that an equation can have only one solution, reinforcing the concept of balance in equations.

What does the equal sign signify in an equation?

• The answer to the equation

• That both sides have the same value

• The start of a new equation

• A placeholder for a variable

In the equation 4 + x = 13, what is the value of x?

• 8

• 7

• 9

• 10

If Riley's shirt costs $22 and she has $90, how much do the jeans cost?

• $68

• $72

• $66

• $89

Which of the following is a correct solution for the equation $22 + square = $90?

• $89

• $68

• $66

• $72

Why can an equation have only one solution?

• Because both sides must be balanced

• Because it involves addition

• Because it is based on a real-world problem

• Because it uses a variable