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Master absolute value equations and inequalities with step-by-step guidance. Practice on real-world and SAT-style problems to build confidence. Conquer distance-based questions with precision and speed.
Master the SAT with our targeted lesson on Absolute Value, part of SAT Sphere’s Digital SAT curriculum. This lesson delivers in-depth concept explanations, problem-solving techniques, and SAT-style practice questions to help you improve your SAT performance. Ideal for both SAT Math and Reading & Writing, each lesson helps you build confidence for test day.
This SAT Sphere lesson focuses on essential SAT test topics in the Absolute Value section. You'll build a strong understanding of core concepts, learn time-saving test-taking strategies, and apply your knowledge to realistic Digital SAT practice questions.
01
Introduction to Absolute Value
Frames the lesson goals—mastering absolute value for equations, inequalities, and real-world distance problems—and reminds students to recall number-line interpretation, numeric comparison symbols, and one-variable linear equation/inequality solving from earlier Fundamentals slides.
02
Definition and Geometric Meaning
Introduces absolute value as a number’s distance from zero on the number line and connects this idea to prior lessons on comparing integers and plotting points.
03
Core Properties of Absolute Value
Establishes fundamental identities (e.g., |a| ≥ 0, |−a| = |a|, |ab| = |a||b|) and refreshes integer and exponent rules needed to verify them.
04
Evaluating Absolute-Value Expressions
Develops skill in substituting numbers into absolute-value expressions and simplifying step by step, including nested bars and mixed operations.
05
Absolute Value Equations: Case Analysis
Shows how to rewrite |ax + b| = c as two linear equations and solve, building on the isolation strategies mastered in the Solving Linear Equations lesson.
06
Guided Practice: Solving Absolute Value Equations
Step-by-step drills that reinforce the two-case method with increasing complexity, highlighting common SAT pitfalls.
07
Absolute Value Inequalities
Teaches how to translate |ax + b| <, ≤, >, ≥ c into compound linear inequalities, refreshing the graphing and interval-notation skills from the Linear Inequalities lesson.
08
Guided Practice: Absolute Value Inequalities
Scaffolded problems that turn the conversion-and-graphing process into a habit, with instant checks for common mistakes.
09
Real-World Applications of Absolute Value
Applies absolute value to distance, deviation, and tolerance scenarios, building on earlier word-problem translation techniques and reinforcing why magnitude matters on the SAT.
10
Key Takeaways and Targeted Practice
Summarizes the absolute-value toolkit, highlights common SAT traps, and gives a final mini-quiz to lock in the lesson.
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Build Your Digital SAT Skills with the Fundamentals of Algebra Module
This lesson is part of the Fundamentals of Algebra module, a structured SAT prep unit designed to improve your performance in key areas of the Digital SAT. Each module includes multiple SAT-focused lessons that develop critical thinking, analytical skills, and test-taking confidence. Progress through each module to strengthen your understanding and raise your overall SAT score.
Advance your SAT preparation by completing other SAT Sphere lessons in the Fundamentals of Algebra module. Each lesson targets a specific concept tested on the Digital SAT, helping you deepen your knowledge and refine your skills for the real exam.
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SAT Sphere includes 8 focused modules that cover every topic tested in the Math and Reading & Writing sections of the Digital SAT. Each module is built to strengthen core skills and test-taking ability.
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With 86 in-depth lessons, SAT Sphere helps you understand key SAT concepts clearly and efficiently. Our lessons break down each topic into simple, actionable parts.
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Apply your knowledge using interactive SAT-style practice questions. Get immediate insights with feedback and explanations that help you improve fast.
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Begin your SAT preparation with SAT Sphere's comprehensive Digital SAT course. Access expertly crafted SAT lessons, interactive practice questions, and proven strategies to improve your SAT Math and SAT Reading and Writing scores. Whether you're aiming for a perfect 1600 or looking to boost your score, SAT Sphere guides you step-by-step toward SAT success.