Understanding Equations and Finding Solutions Using a Pan Balance

The video tutorial explains how to solve equations using a pan balance method. It begins with an introduction to 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 used to illustrate the concept. The substitution method is employed to find solutions, and the importance of verifying solutions is emphasized. The lesson concludes by reinforcing that an equation can have only one solution.

What does the equal sign signify in an equation?

• A placeholder for a variable

• That both sides have the same value

• A comparison between two numbers

• The answer to the equation

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

• 8

• 7

• 5

• 9

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

• $66

• $72

• $89

• $68

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

• $89

• $66

• $68

• $72

Why can an equation have only one solution?

• Because variables can only take one value

• Because equations are always linear

• Because it is a rule of mathematics

• Because both sides must be balanced