Students will understand that…

• A linear equation can be true for only one value of the variable.
• Linear equations can be built by applying operations and can be solved by applying the inverse operations in the reverse order.
• Balance strategies can be used to solve linear equations and are particularly useful when the variable occurs on both sides of the equation.
• A linear inequality may be true for many values of the variable.
• The solution of an inequality can be shown on a number line.
• When the same number is added to or subtracted from each side of an inequality; the resulting inequality is still true.
• When each side of an inequality is multiplied or divided by the same positive number, the resulting inequality is still true.
• When each side of an inequality is multiplied or divided by the same negative number, the inequality sign must be reversed for the inequality to remain true.

Essential Questions:

What is a linear equation? What is a value?

What is a variable? What is an inequality?

General Outcomes:

• Students will represent algebraic equations in multiple ways .
  • Students will model and solve problems using linear equations.
  • Students will explain and illustrate strategies to solve single variable linear inequalities with rational coefficients within a problem-solving context.