Linear Equations and Inequalities
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.