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SAT Math Lesson Plan 3: Systems of Equations

SAT Math Lesson Plan 3: Solving Systems of Equations

This 45-minute lesson is part of Media4Math’s 35-lesson SAT Math prep series. It focuses on solving systems of linear equations, a concept that typically accounts for about 6% of the SAT Math section. Students learn how to solve systems using substitution, elimination, and graphing, along with interpreting solutions to determine whether a system has one solution, no solution, or infinitely many.

Through six fully worked-out examples—including one graphical and one real-world scenario—students build fluency in algebraic manipulation and visual analysis of equations. Each example is designed to model SAT-style questions and is supported by self-study tips for independent learners. The lesson also includes a warm-up activity, a comprehensive review section, and a 10-question multiple-choice quiz with a detailed answer key. All examples and solutions are formatted for clarity and align with Common Core standards for systems of equations.

This lesson is ideal for classroom instruction, tutoring, or self-paced SAT prep and supports key skills needed for success in both academic and testing environments.

Not sure if you need to review this lesson? Take this placement quiz. If you score less than 70%, then you should review this lesson. 

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Common Core Standards CCSS.MATH.CONTENT.HSA.REI.C.6, CCSS.MATH.CONTENT.HSA.CED.A.3
Grade Range 9 - 12
Curriculum Nodes Algebra
    • Linear Systems
        • Solving Systems of Equations
Copyright Year 2025
Keywords linear systems