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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 Rational Expressions 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 Rational Expressions
Frames why rational expressions matter on the Digital SAT and reminds students to recall polynomial factoring, exponent laws, and basic fraction operations before starting.
02
Domain of a Rational Expression
Teaches how to find and state excluded x-values (denominator ≠ 0), refreshing earlier skills in factoring and reasoning about undefined values.
03
Simplifying Rational Expressions
Shows how to factor numerators and denominators and cancel common factors to write an expression in simplest form, building on the previous domain check and prior factoring fluency.
04
Practice: Simplifying Rational Expressions
Provides scaffolded problems that let students apply the step-by-step simplifying routine introduced on Slide 3.
05
Multiplication and Division of Rational Expressions
Explains how to multiply directly or divide by the reciprocal, then simplify, extending earlier work with numeric fractions and polynomial multiplication.
06
Practice: Multiplication and Division of Rational Expressions
Offers scaffolded drills to solidify the multiply‑or‑reciprocal routine, reinforcing factor‑then‑cancel fluency and domain awareness.
07
Adding and Subtracting Rational Expressions
Demonstrates finding a least common denominator, rewriting terms, and combining numerators, refreshing the LCD strategy from earlier fraction lessons.
08
Practice: Adding and Subtracting Rational Expressions
Applies the LCD-rewrite-combine routine to targeted drills, reinforcing speed, accuracy, and domain awareness.
09
Solving Equations Involving Rational Expressions
Guides students through clearing denominators, forming polynomial equations, and checking for extraneous solutions, extending prior quadratic-solving skills.
10
Practice: Solving Rational Equations
Presents SAT-style equations that require clearing denominators, solving the resulting polynomial, and discarding extraneous roots.
11
Key Takeaways and Targeted Practice
Synthesizes all rational-expression skills into a concise review and offers SAT-style questions for self-assessment.
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.
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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.
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Flash cards
Reinforce your learning with more than 6900 flash cards. Use them to review vocabulary, grammar, math facts, and more — anytime, anywhere.
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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.
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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.
Simplify and solve rational expressions involving variables and fractions. Practice SAT-style exercises that reinforce key steps. Master rational functions to boost your Math proficiency.
Master the SAT with our targeted lesson on Rational Expressions, 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.