This lesson involves understanding what it means for an equation to be balanced in the process of solving linear equations with one variable.

• Students will solve linear equations in one variable graphically and algebraically.
• Students will explore what it means for an equation to be balanced both graphically and algebraically.

• equation
• variable
• balanced equation
• equivalent equation
• transforming an equation
• simplifying an expression
• addition/subtraction/multiplication/division property of equality

This lesson involves understanding what it means for an equation to be balanced in the process of solving linear equations with one variable.
As a result, students will:

• Examine the graphs of the two separate expressions from a linear equation with one variable and then noticing their point of intersection as a solution to the original equation.
• Find the solution(s) of a linear equation by transforming it into equivalent equations in simpler forms using the idea of balancing equations and the properties of equality.
• Determine if a linear equation has one, infinitely many, or no solutions by examining the final equivalent equation found.