 # High School: Using Systems of Linear Equations and Inequalities to Solve Problems (CCSSM Version)

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Concepts

• Identify and Interpret a Solution to a System of Equations
• Solve and Interpret the Solution Set of a System of Equations
• Understand and Represent Systems of Two-Variable Inequalities

Unit includes

• 15 high-level tasks with associated QuickStarts, Practices, Applications, and Quick Writes.
• 3 checkpoints and 6 support activities.
• 1 final performance-based assessment with scoring guide.

Students

• Understand and explain what it means for an ordered pair/point on a graph to be a solution to a system of two linear functions.
• Represent systems of two linear functions with graphs and/or tables and use them to identify the solution set of the system.
• Interpret the solution set of a system of two linear functions in the context of the problem.
• Understand and explain the conditions under which a system of two linear functions has zero, one, or infinitely many solutions.
• Represent systems of two linear functions symbolically and determine the solution set of the system algebraically using the substitution method and the elimination method, justifying why both of these methods work.
• Understand and explain what it means for an ordered pair/point on a graph to be a solution to a system of inequalities.
• Represent systems of inequalities graphically, explain how the graph represents the solution set of the system, and interpret the solution set in the context of the problem.
• Represent systems of inequalities symbolically.