Writing a general rule to model a specific pattern is a high-level skill. Your classes practice the important skill as they write rules describing the solutions to a system of equations with variable coefficients. As an added challenge, the coefficients include quadratic variables.

Concepts

systems of equations, linear equations, nonlinear systems

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Additional Tags

math

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Instructional Ideas

• Incorporate as a challenge exercise during a lesson on nonlinear systems of equations
• Have pupils compare and contrast their solutions and solution methods with a partner

Classroom Considerations

• Expects a strong understanding of solving systems of equations

Pros

• Includes an answer key with detailed explanations
• Encourages an explanation of methods

Cons

• None

Common Core

HSA-REI.C.6 HSA-REI.C.7