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SAT/Sphere
The all-in-one SAT prep platform for everyone!
© 2025 SAT/Sphere. All rights reserved.
SAT/Sphere
The all-in-one SAT prep platform for everyone!
© 2025 SAT/Sphere. All rights reserved.
Find the perfect SAT prep plan designed to match your goals, study style, and budget. Begin your journey to top scores and college admission success with SAT Sphere!
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This SAT Sphere lesson focuses on essential SAT test topics in the Solving Linear Equations 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 Solving Linear Equations
Set the goal for the lesson: isolate a variable efficiently using balance and inverse operations, handle fractions/decimals, and recognize special solution cases—all in SAT style.
02
Balance & Inverse Operations: One- and Two-Step Equations
Review the balance principle and inverse operations to solve one- and two-step linear equations cleanly while avoiding common sign slips.
03
Lightning Round Mini Quiz ⚡ - Balance & Inverses
Quick practice on isolating variables with inverse operations to reinforce the core solving engine.
04
Distribution and Collecting Like Terms Before Solving
Practice distributing (including negatives) and combining like terms to prepare an equation for efficient isolation.
05
Lightning Round Mini Quiz ⚡ - Distribute & Collect
Short mixed questions testing proper distribution and term collection before solving.
06
Clearing Fractions and Decimals Strategically
Use the least common multiple or place-value scaling to clear fractions/decimals without changing the solution set.
07
Lightning Round Mini Quiz ⚡ - Clearing Fractions/Decimals
Rapid checks on multiplying both sides to eliminate fractions/decimals and finish the solve.
08
Variables on Both Sides: Move Terms and Isolate
Solve equations with variables on both sides by collecting variable terms to one side and constants to the other.
09
Lightning Round Mini Quiz ⚡ - Both Sides
Targeted practice moving variable and constant terms correctly and solving accurately.
10
Special Cases: No Solution vs. Infinitely Many Solutions
Diagnose identities and contradictions (e.g., 0=0 or 0=5) to determine when equations have no solution or infinitely many solutions.
11
Lightning Round Mini Quiz ⚡ - Special Cases
Decide the solution type quickly from simplified forms and justify the conclusion.
12
Parameterized Coefficients: Conditions for Solutions
Work with parameters in linear equations and find the values that yield one, none, or infinitely many solutions.
13
Lightning Round Mini Quiz ⚡ - Parameters & Conditions
Mini problems that require identifying parameter conditions and solving accordingly.
14
Modeling Mini-Contexts: Writing and Solving Linear Equations
Translate short word prompts (age, rate, budget) into linear equations and solve with units and reasonableness checks.
15
Lightning Round Mini Quiz ⚡ - Context to Equation
Fast conversions from context to equation to solution, mirroring SAT timing and phrasing.
16
Show What You Know 🏆
A mixed SAT-style set covering distribution, clearing fractions/decimals, variables on both sides, special cases, parameters, and brief word problems.
17
Key Takeaways
Summarize the solving toolkit and common traps, and preview how these skills power inequalities and absolute value.
View Example SAT Lesson with Practice Questions and Explanations
Each SAT Sphere lesson is a focused, interactive learning experience aligned with the new Digital SAT exam format. Lessons include SAT practice questions, detailed explanations, and concept reviews to support your SAT Math or Reading and Writing preparation. Designed for measurable improvement, our SAT lessons build confidence and mastery one topic at a time.
Engage with interactive SAT content featuring real-time practice and instant feedback.
Get personalized SAT prep tips and study guidance tailored to your strengths and weaknesses.
Access a complete Digital SAT curriculum that covers all tested topics and question types.
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.
08
Modules
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.
86
Lessons
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.
10k+
Practice
Apply your knowledge using interactive SAT-style practice questions. Get immediate insights with feedback and explanations that help you improve fast.
+6k
Flash cards
Reinforce your learning with more than 6900 flash cards. Use them to review vocabulary, grammar, math facts, and more — anytime, anywhere.
Personalized study plan
Stay organized with our AI-powered study planner. Set your test date and daily study goals, and get a custom SAT prep plan tailored to your pace. Make consistent progress and be fully prepared by test day.
Ace the SAT Smarter, Not Harder
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SAT/AI gives you personalized, step-by-step guidance that fits your learning style. Stuck on a tough math problem or confused by a reading passage? SAT/AI breaks it down clearly, offers instant feedback, and helps you learn from mistakes—building your confidence and boosting your score, one question at a time.
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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.
Master solving linear equations in this lesson built for Digital SAT success. Engage with interactive examples and targeted practice exercises designed to deepen your understanding and boost your score.
Master the SAT with our targeted lesson on Solving Linear Equations, 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.