## Standards of Learning (SOL)

 Essential Knowledge and Skills

• Solve multistep linear inequalities in one variable algebraically and represent the solution graphically. (a)
• Apply the properties of real numbers and properties of inequality to solve multistep linear inequalities in one variable algebraically. (a)
• Represent the solution of a linear inequality in two variables graphically. (b)
• Solve practical problems involving linear inequalities. (c)
• Determine whether a coordinate pair is a solution of a linear inequality or a system of linear inequalities. (c)
• Represent the solution of a system of two linear inequalities graphically. (d)
• Determine and verify algebraic solutions using a graphing utility. (a, b, c, d)

## Resources

Vocabulary
Inequality, graphically, coordinate pair, solution, half-plane, bounded, points, boundary, associative, commutative, identity, inverse, distributive, transitive

## Vertical Articulation

Prior Standard of Learning

8.18             The student will solve multistep linear inequalities in one variable with the variable on one or both sides of the inequality symbol, including practical problems, and graph the solution on a number line.

Post Standard of Learning

AFDA.5       The student will determine optimal values in problem situations by identifying constraints and using linear programming techniques.

 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.
 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.
 The student will investigate the passage of time and a) tell time to the hour and half-hour, using analog and digital clocks; and b) read and interpret a calendar.

## Essential Questions

• How can you represent the solution of a system of two linear equations graphically?
• How can you determine and verify algebraic solutions to multistep linear inequalities and systems of linear inequalities on a graphing utility?