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!
Free Plan
$0
billed monthly
Try This Plan
Premium Plan
$10
billed monthly
Try This Plan
Premium Plus Plan
$15
billed monthly
Try This Plan
This SAT Sphere lesson focuses on essential SAT test topics in the Polynomial Functions 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 Polynomial Functions
Explains why mastering polynomial operations matters for the Digital SAT and reminds students to recall exponent laws, the distributive property, combining like terms, and substituting values into expressions.
02
Polynomial Vocabulary & Structure
Defines monomials, terms, coefficients, degree, and leading coefficient, refreshing earlier work on variables, constants, and coefficients to anchor new terminology.
03
Classifying & Evaluating Polynomials
Shows how to determine degree and leading coefficient and how to evaluate P(x) for given x, building on prior lessons about function notation and substitution.
04
Addition & Subtraction of Polynomials
Teaches students to align and combine like terms across polynomials, extending the earlier skill of combining like terms within a single expression.
05
Guided Practice: Add & Subtract
Provides timed SAT-style problems to reinforce efficient addition and subtraction of polynomials using sign-management strategies introduced earlier.
06
Multiplication of Polynomials
Introduces the distributive property and FOIL for products of polynomials, extending previous multiplication of simpler expressions and exponent-addition rules.
07
Guided Practice: Multiply Polynomials
Offers scaffolded practice multiplying binomials, trinomials, and monomials, reinforcing arrow-mapping and FOIL techniques under SAT timing.
08
Division of Polynomials
Introduces polynomial long division and synthetic division, connecting them to multiplication and the Remainder Theorem.
09
Guided Practice: Divide Polynomials
Gives targeted exercises simplifying fractional expressions and interpreting quotient-with-remainder forms to cement division skills.
10
Key Takeaways and Targeted Practice
Synthesizes addition, subtraction, multiplication, and division in multi-step expressions, refreshing the four-step simplify blueprint from earlier lessons and summarizing must-know strategies.
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 Advanced Algebra and Functions Module
This lesson is part of the Advanced Algebra and Functions 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 Advanced Algebra and Functions 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
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.
On-Demand Help
Tailored Practice
Real-Time Hints
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.
Dive into polynomial operations—addition, subtraction, multiplication, division—with dynamic examples. Engage in SAT-level practice to sharpen your manipulation skills. Build the toolkit for any polynomial problem.
Master the SAT with our targeted lesson on Polynomial Functions, 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.