SAT Math Lesson Plan 5: Absolute Value Equations and Inequalities

This 45-minute lesson is part of Media4Math’s 35-lesson SAT Math prep series. It focuses on absolute value equations and inequalities, which are occasionally featured on the SAT Math section—typically one question or fewer per test. Mastery of this topic reinforces algebraic reasoning and function analysis, which are critical for overall SAT success.

Students learn to solve absolute value equations and inequalities both algebraically and graphically. Through six detailed examples, including a real-world application and a graph of a reflected absolute value function, students build conceptual fluency with absolute value operations, transformations, and solution sets. The lesson covers both “less than” and “greater than” cases, highlights test-taking strategies, and reinforces the relationship between algebraic and graphical representations.

Additional review examples reinforce problem-solving techniques, and a 10-question multiple-choice quiz with full solutions ensures mastery of key ideas. Self-study tips are provided throughout for independent learners. This lesson is aligned with Common Core standards and is ideal for classroom instruction, tutoring, or SAT preparation courses.

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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