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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.
Get hands-on practice with variables, constants, and coefficients across all four operations. Use interactive drills to simplify expressions confidently. Lay a strong algebra foundation for every SAT Math question.
Master the SAT with our targeted lesson on Basic Algebraic Operations, 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 Basic Algebraic Operations 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 Algebraic Operations
Frames the lesson goal, previews variables, constants, coefficients, and explains how basic operations extend arithmetic into algebra.
02
Variables and Constants
Defines variables as unknowns and constants as fixed values, highlighting their roles within simple numerical–algebraic statements.
03
Coefficients and Terms
Explains coefficients as multipliers of variables and identifies terms as the building blocks of expressions, with clear notation examples.
04
Constructing Algebraic Expressions
Shows how variables, constants, coefficients, and terms combine through operations to form algebraic expressions and distinguishes expressions from equations.
05
Combining Like Terms
Teaches how to recognize and merge like terms (same variable and exponent), laying groundwork for simplifying expressions.
06
Addition and Subtraction of Expressions
Demonstrates systematic addition and subtraction of algebraic expressions, emphasizing grouping of like terms and careful sign management.
07
Guided Practice: Add & Subtract
Provides scaffolded, SAT-style problems that progress from single-variable to multi-variable expressions, reinforcing addition and subtraction skills.
08
Multiplication of Expressions
Introduces multiplication rules, including the distributive property, FOIL for binomials, and exponent addition when multiplying like bases.
09
Guided Practice: Multiplication
Offers step-by-step practice multiplying monomials, binomials, and polynomials, with increasing complexity and SAT-aligned phrasing.
10
Division of Monomials and Polynomials
Covers division rules for algebraic expressions, including simplifying fractions with variables and using long or synthetic division for polynomials.
11
Mixed Operations & Simplification Strategies
Integrates all four operations in multi-step expressions, applying the order of operations and common factoring techniques for efficient simplification.
12
Self-Check & Key Takeaways
Concludes with quick diagnostic questions mirroring Digital SAT style and summarizes essential concepts students must master before advancing.
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.
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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Ace the SAT Smarter, Not Harder
Confused by a question? Looking for a better way to understand the why, not just the what?
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.
