## 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

8.17 The student will solve multistep linear equations in one variable with the variable on one or both sides of the equation, including practical problems that require the solution of a multistep linear equation in one variable.

Post Standard of Learning

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

AII.3 The student will solve absolute value linear equations and inequalities; quadratic equations over the set of complex numbers; equations containing rational algebraic expressions; and equations containing radical expressions.

 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 solve multistep linear inequalities algebraically?
• How is solving a multistep linear inequality the same as solving a multistep linear equation?  How is it different?
• How can you represent the solutions to a multistep linear inequality on a number line?
• How can you apply the properties of real numbers and properties of inequality to solve a multistep linear inequality?
• How can you represent the solution to a linear inequality with two variables graphically?
• How can you solve practical problems involving linear inequalities?
• How can you determine whether a coordinate pair is a solution of a linear inequality or a system of linear inequalities?
• 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?