SAT Test Dates Guide: How to Choose the Right 2026 Test Date

Planning your college preparation timeline requires managing a complex calendar of academic, extracurricular, and admissions deadlines. Among these details, choosing your SAT test dates and tracking the accompanying registration deadlines are critical steps. Registering for the exam is not simply about picking a random Saturday on the calendar; it requires aligning your study timeline, structuring retake strategies, and coordinating with college application deadlines.

With the transition of the SAT to a fully digital format using the Bluebook testing application, the registration calendar is synchronized globally. A simple scheduling error—such as registering for a test date that releases scores too late for your early application deadline, or failing to request accommodations in time—can disrupt your college admissions plans.

This guide provides a detailed review of the Digital SAT testing calendar. We analyze the differences between testing windows, explain how to structure a multi-test strategy, explore fee structures, and show you how to align your preparation schedule with official dates.

---

Table of Contents

1. Phase 1: Scheduled Test Dates Calendar (2026 - 2027)
2. Phase 2: Individual Test Date Strategic Analysis
3. Phase 3: Choosing Your First Test Date: The Junior Spring Timeline
4. Phase 4: Senior Year Timelines and Retake Strategies
5. Phase 5: The 3-Attempt Testing Model Strategy
6. Phase 6: Managing Registration Surcharges and Fees
7. Phase 7: Environmental and Logistical Factors in Center Selection
8. Phase 8: Test Center Check-In and Security Workflows
9. Phase 9: Services for Students with Disabilities Accommodations Planning
10. Phase 10: Custom Prep Timelines and Daily Study Milestones
11. Phase 11: Test-Day Psychology, Sleep, and Nutrition Protocols
12. Phase 12: Mini-Practice Test: Sample Math & Verbal Exercises
13. Official Sources, Trademark Disclaimer, and Final Notes

---

1. Phase 1: Scheduled Test Dates Calendar (2026 - 2027)

Last verified with College Board: June 23, 2026

The table below turns the 2026-2027 public SAT calendar into a planning view. Confirm the current dates, registration windows, and score-release details on College Board before you register or build an application timeline.

Test Date	Registration Deadline	Late Registration Deadline (US Only)	Estimated Score Release
August 22, 2026	August 7, 2026	August 11, 2026	Check College Board
September 12, 2026	August 28, 2026	September 1, 2026	Check College Board
October 3, 2026	September 18, 2026	September 22, 2026	Check College Board
November 7, 2026	October 23, 2026	October 27, 2026	Check College Board
December 5, 2026	November 20, 2026	November 24, 2026	Check College Board
March 6, 2027	February 19, 2027	February 23, 2027	Check College Board
May 1, 2027	April 16, 2027	April 20, 2027	Check College Board
June 5, 2027	May 21, 2027	May 25, 2027	Check College Board

[!WARNING] While the College Board adheres to this schedule, local test center availability can vary. Weather emergencies, facility maintenance, or proctor shortages can lead to localized cancellations. Always verify that your selected center is open and confirmed on your student dashboard in the days leading up to your exam.

---

2. Phase 2: Individual Test Date Strategic Analysis

To make an informed decision, you must analyze the strategic implications of each testing window.

August 22, 2026

• Target Audience: Rising seniors who spent the summer preparing, and advanced juniors who want to get their first attempt out of the way before junior year classes start.
• Strategic Considerations: August is a highly popular test date because students are free from school-year distractions. Seats in metropolitan areas fill up by May or June.
• Recommendation: Register early. Use the summer months for structured daily practice, and target this date if you are applying for Early Action or Early Decision.

October 3, 2026

• Target Audience: Seniors applying under early deadlines (EA/ED) who need a final retake, and juniors beginning their testing cycle.
• Strategic Considerations: This is often the last practical test date before early application deadlines (typically November 1 or November 15), but score-release timing and college receipt policies must be verified before you rely on it.
• Recommendation: Best reserved as a retake date for seniors who did not reach their target score in August.

November 7, 2026

• Target Audience: Seniors applying under Regular Decision (RD) guidelines, and juniors looking for an autumn baseline.
• Strategic Considerations: November scores are rarely processed in time for early rounds and are best suited for regular decision applications.
• Recommendation: Good option for a second attempt for juniors who took their first test in August or October, or a first attempt for students starting their prep in September.

December 5, 2026

• Target Audience: Seniors taking their final SAT for Regular Decision (RD) deadlines.
• Strategic Considerations: This is the final test date accepted by the vast majority of colleges for applications due in January.
• Recommendation: Essential backup date for seniors. Juniors should generally avoid this date to focus on midterms and school final exams.

March 6, 2027

• Target Audience: High school juniors sitting for their first official attempt.
• Strategic Considerations: March is the optimal starting point for juniors. It allows you to establish a baseline score and leaves the spring and summer open for retakes.
• Recommendation: Highly recommended for your first attempt. Pair this attempt with a 12-week study plan starting in December.

May 1, 2027

• Target Audience: Juniors taking their second attempt, or students whose schools offer a spring School Day SAT.
• Strategic Considerations: May coincides with AP exams, which can lead to academic burnout.
• Recommendation: If you are taking multiple AP exams, avoid this Saturday date. Focus on the March or June dates instead.

June 5, 2027

• Target Audience: Juniors taking their final attempt of the school year.
• Strategic Considerations: June falls after AP exams are complete, allowing you to focus on the SAT.
• Recommendation: Excellent date for a second attempt for juniors who took their first test in March. It sets you up for a final retake in August if needed.

---

3. Phase 3: Choosing Your First Test Date: The Junior Spring Timeline

For most students, the junior year of high school represents the optimal period to sit for the SAT for the first time. Specifically, selecting a date in the spring of junior year (March, May, or June) provides several strategic advantages.

                  JUNIOR YEAR SPRING TESTING WINDOWS
+-------------------+-------------------+--------------------+
| March Attempt     | May Attempt       | June Attempt       |
+-------------------+-------------------+--------------------+
| - Baseline score  | - AP exam overlap | - Focus on APs over|
| - Early feedback  | - Solid prep base | - Final retake prep|
| - Summer prep map | - Late school day | - Subject mastery  |
+-------------------+-------------------+--------------------+

The March Test Date: Pros and Cons

Taking the SAT in March of your junior year is often the recommended starting point for students targeting competitive scores.

• The Advantages:
  • It provides an early baseline under real testing conditions.
  • You receive your score report by late March, leaving the entire spring and summer open for targeted preparation.
  • It avoids scheduling conflicts with Advanced Placement (AP) exams or final exams in May and June.
• The Disadvantages:
  • Some juniors may not have completed all the advanced algebra concepts (such as quadratic systems or exponential modeling) tested in the Math section by mid-March.

The May Test Date: Pros and Cons

May is a popular test date, but it requires careful scheduling.

• The Advantages:
  • Students have completed more school curriculum, improving their readiness for the Math and English Conventions sections.
  • Timed practice cycles are well underway.
• The Disadvantages:
  • May is the peak period for Advanced Placement (AP) exams. Taking the SAT on the Saturday following two weeks of AP testing can lead to cognitive fatigue and lower performance.

The June Test Date: Pros and Cons

June serves as an excellent option for students who prefer more preparation time.

• The Advantages:
  • AP exams are complete, allowing you to focus entirely on the SAT.
  • You have completed the full junior-year academic curriculum.
• The Disadvantages:
  • June coincides with high school final exams and end-of-year activities, which can limit study time in the final weeks leading up to the test.

---

4. Phase 4: Senior Year Timelines and Retake Strategies

If your junior-year spring attempts do not yield your target score, the fall of your senior year offers crucial opportunities to retake the exam before college application deadlines.

                  SENIOR YEAR APPLICATION DEADLINES
+-----------------------------------+-----------------------------------+
| Early Action / Early Decision     | Regular Decision                  |
| (Deadlines: Nov 1 or Nov 15)      | (Deadlines: Jan 1 or Jan 15)      |
+-----------------------------------+-----------------------------------+
| - August SAT (Highly Recommended) | - October / November SAT          |
| - October SAT (Last Safe Date)    | - December SAT (Last Safe Date)   |
+-----------------------------------+-----------------------------------+

The August Test Date: The Strategic Sweet Spot

For rising seniors, the August test date is one of the most effective testing windows.

• Summer Study Window: You can dedicate the summer months to preparation without the distraction of daily high school classes, homework, or extracurricular activities.
• Early Results: Scores are released in mid-September, giving you time to adjust your college list and prepare your application essays before the early round deadlines in November.
• Registration Strategy: Because of its popularity, August seats at local centers fill up quickly. Register in May or June to secure your spot.

The October Test Date: The Early Action Deadline

October represents the final testing opportunity for students applying under Early Action (EA) or Early Decision (ED) programs.

• Timing and Processing: The exam takes place in early October, and scores are released in mid-October. This allows you to include your scores in applications submitted by the November 1 deadline.
• Retake Safety: Having a confirmed booking in October serves as a backup if your August attempt falls short of your target.

The November and December Test Dates: Regular Decision

For students applying under Regular Decision (RD) guidelines (with deadlines typically in January), the November and December test dates are the final opportunities to improve your scores.

• November SAT: Scores are released in late November, giving you time to finalize your applications.
• December SAT: This is generally the last test date accepted by colleges for regular decision rounds. Scores are released in mid-December, just before admissions offices begin their final evaluations.

---

5. Phase 5: The 3-Attempt Testing Model Strategy

Admissions statistics demonstrate that the vast majority of students maximize their score profiles by utilizing a structured 3-Attempt Testing Model.

Rather than treating each test date as an isolated, high-stress event, this model frames your testing timeline as a progressive cycle that leverages college superscoring policies.

                     THE 3-ATTEMPT TESTING MODEL
+-----------------------------------------------------------------+
| Attempt 1: March (Junior Year)                                  |
|   - Purpose: Establish real-world baseline and adjust pacing    |
| Attempt 2: June (Junior Year)                                   |
|   - Purpose: Capitalize on completed school coursework          |
| Attempt 3: August (Senior Year)                                 |
|   - Purpose: Apply summer study gains and target weak subdomains |
+-----------------------------------------------------------------+

Transitioning Between Attempts

To make progress between test dates, follow a structured review program:

Transition 1: March to June (12 Weeks)

• Analyze March Score Report: Identify weak subdomains. If your Math section is lower, dedicate 70% of your study time to Algebra and Advanced Math.
• Action Plan:
  • Weeks 1–4: Review the specific concepts you missed (e.g., system of linear equations, circle geometry).
  • Weeks 5–8: Practice timed question sets to improve pacing.
  • Weeks 9–11: Take full-length practice tests under realistic conditions.
  • Week 12: Complete pre-exam setup in the Bluebook app and rest.

Transition 2: June to August (10 Weeks)

• Analyze June Score Report: Target remaining gaps. With summer classes out of session, you can establish a more consistent daily study routine.
• Action Plan:
  • Weeks 1–3: Complete a targeted review of high-impact areas.
  • Weeks 4–7: Take weekly practice tests to build endurance and monitor progress.
  • Weeks 8–9: Review your error log and practice under timed conditions.
  • Week 10: Complete setup and rest.

---

6. Phase 6: Managing Registration Surcharges and Fees

To avoid unnecessary costs, you must monitor registration deadlines and understand the College Board fee structure.

The 2026 Fee Structure Checklist

• Standard Registration Fee: $68 (covers the exam and delivery of scores to up to four colleges if selected during registration).
• Late Registration Fee: +$34 (applies if you register during the late window, which runs for 2 weeks after the regular deadline).
• Rescheduling Fee: +$29 (charged if you change your test date or center location before the deadline).
• Standby Testing Fee: +$53 (charged if you show up on test day without a registration; this fee is refunded if you are not seated).
• International Surcharge: +$43 to +$53 (applies to all registrations outside the US).

Rescheduling vs. Cancellation Strategy

If you determine you are not prepared for a scheduled exam, rescheduling is usually a better option than canceling.

• Rescheduling: Rescheduling your date through your dashboard costs $29. This preserves your base registration fee and applies it to a future test date on the calendar.
• Cancellation: Canceling your registration altogether results in only a partial refund.
  • Canceling before the regular deadline yields a refund of your base fee minus a $25 fee.
  • Canceling after the regular deadline yields a refund minus a $39 fee.
  • Surcharges, late fees, and international fees are non-refundable.

---

7. Phase 7: Environmental and Logistical Factors in Center Selection

Where you take the exam can impact your comfort, focus, and performance. When selecting a testing center, consider these environmental factors:

Modern Facilities vs. Older Buildings

• Power Outlets: The Digital SAT requires your laptop or tablet to remain powered. While the Bluebook app can run on battery power, having an outlet at your desk reduces battery anxiety. Modern schools or college centers are more likely to have accessible power strips at every station.
• Climate Control: Temperature fluctuations can be distracting. Modern buildings tend to have more reliable heating and air conditioning systems.

Room Size and Distractions

• Classrooms: Classrooms typically seat 15 to 25 students, which makes them easier for proctors to manage and reduces noise from typing or shifting.
• Gymnasiums or Cafeterias: Testing in large halls can lead to distractions due to echoing acoustics, foot traffic, and the movements of dozens of other test-takers. When possible, choose centers that use standard classrooms.

---

8. Phase 8: Test Center Check-In and Security Workflows

Arriving at your test center prepared for the check-in process can help reduce anxiety.

Security and ID Inspections

Proctors must follow strict security protocols:

• Identification Check: The proctor will compare your physical photo ID with your admission ticket and your physical appearance. Digital IDs, photocopies, and expired documents will not be accepted.
• Calculator Inspection: The proctor will verify that your physical calculator is on the approved models list. Calculators with built-in Wi-Fi, stylus inputs, or loud keystrokes are prohibited.
• Scrap Paper Controls: The center will provide scratch paper. You cannot bring your own paper into the room. All scratch paper must be returned to the proctor at the end of the test.

---

9. Phase 9: Services for Students with Disabilities Accommodations Planning

If you require testing accommodations, you must plan your timeline carefully because the approval process is separate from standard registration.

       ACCOMMODATIONS TIMELINE
+------------------------------------+
| 1. Submit request to school SSD    |
|    coordinator (8 weeks before)    |
| 2. College Board reviews files     |
| 3. Approval code generated         |
| 4. Enter SSD code at registration  |
+------------------------------------+

• The 8-Week Review Window: The College Board’s Services for Students with Disabilities (SSD) office requires 7 to 8 weeks to review medical and psychoeducational documentation. Submit your requests through your school’s coordinator early in the academic year.
• App Configuration: Once approved, you will receive an SSD eligibility code. You must enter this code when registering to ensure the Bluebook application configures the correct settings (e.g., extended time, extra breaks, zoom options) on your device.

---

10. Phase 10: Custom Prep Timelines and Daily Study Milestones

To ensure you are prepared for your chosen test date, structure your study schedule working backward from that date.

The 12-Week Prep Plan (Recommended)

This plan is designed for students seeking a balanced approach to their preparation, with 6 to 8 hours of study per week.

• Week 1-2: Baseline Testing & Goal Setting
  • Monday: Take full-length diagnostic test in the Bluebook app (3 hours).
  • Wednesday: Review all diagnostic errors. Log each incorrect answer in an error journal.
  • Friday: Research target score percentiles. Define section goals.
• Week 3-6: Core Concept Review
  • Monday (Verbal Focus): Study Standard English Conventions. Practice grammar tenses and punctuation boundaries.
  • Wednesday (Math Focus): Review linear systems and systems of linear equations in the Algebra domain.
  • Friday (Integrated Timed Sets): Practice 20-minute timed question sets to establish pacing.
• Week 7-9: Advanced Subdomain Review
  • Monday (Verbal Focus): Review transition words and words-in-context strategies.
  • Wednesday (Math Focus): Study advanced math topics, including completing the square of a circle equation and exponential functions.
  • Friday (Endurance Practice): Take timed modules to practice module pacing.
• Week 10-11: Full-Length Mock Exams
  • Saturday: Take a full-length practice test in Bluebook under realistic testing conditions.
  • Monday: Complete a detailed review of all errors. Re-solve incorrect questions.
  • Wednesday: Practice targeted drill sets in remaining weak areas.
• Week 12: Final Prep & Check-in
  • Monday: Complete the pre-exam setup in the Bluebook app. Print your admission ticket.
  • Wednesday: Perform a final review of formulas and grammar rules. Do not take any full-length tests.
  • Friday: Prepare your testing bag (ID, ticket, device, charger). Go to bed early.

The 8-Week Intensive Plan

This plan is designed for students with a compressed timeline, requiring 10 to 12 hours of study per week.

• Week 1-2: Diagnostic & Priority Review
  • Establish your baseline score. Review diagnostic errors to identify high-impact areas (e.g., Math Algebra or Verbal Conventions).
• Week 3-4: Targeted Prep & timed practice
  • Focus on your weakest subdomains. Complete daily timed practice sets of 20 to 30 questions.
• Week 5-6: Full-Length Practice & Review
  • Take full-length mock exams. Log all errors and re-solve incorrect questions 3 days later.
• Week 7: Pacing & Endurance
  • Practice managing your pacing in both sections. Resolve remaining conceptual gaps.
• Week 8: Pre-Exam Setup & Rest
  • Complete the setup in Bluebook. Print your ticket and rest.

The 4-Week Cram Plan

This plan is designed for students with a short timeline, requiring 12 to 15 hours of study per week.

• Week 1: Diagnostic & Quick Wins
  • Take a diagnostic test. Focus on memorizing high-frequency formulas and basic grammar rules to secure quick improvements.
• Week 2: Timed Practice & Pacing
  • Practice timed question sets. Focus on managing your pacing under the module time limits.
• Week 3: Full-Length Practice Test
  • Take one full-length practice test to build testing endurance. Review all errors in detail.
• Week 4: Pre-Exam Setup & Rest
  • Complete the setup in Bluebook. Print your ticket and rest.

---

11. Phase 11: Test-Day Psychology, Sleep, and Nutrition Protocols

Maximizing your score on test day requires physical and mental readiness. Academic preparation can be undermined if you arrive fatigued or anxious.

Sleep Hygiene and Pacing Your Rest

The most common mistake is cramming the night before the exam.

• The Two-Night Rule: Your energy levels on Saturday morning are largely determined by the sleep you get on Thursday night, not just Friday night. Establish a consistent sleep schedule starting 48 hours before the test.
• Friday Night Preparation: Avoid studying on Friday evening. Set up your testing device, pack your bag, and engage in a relaxing activity to help clear your mind.

Morning Nutrition and Energy Management

Your brain requires consistent energy to maintain focus throughout the 2-hour and 14-minute exam.

• The Breakfast Protocol: Eat a breakfast containing complex carbohydrates and lean proteins (e.g., oatmeal with nuts, or whole-wheat toast with eggs). Avoid high-sugar foods that can cause a rapid spike and subsequent crash in blood sugar.
• Hydration Sizing: Drink a moderate amount of water. Excessive hydration can lead to unnecessary restroom breaks, which will count against your testing time.
• Testing Snacks: Bring a bottle of water and a snack (e.g., an energy bar or banana) for the 10-minute break between sections.

Managing Test Anxiety During Section 1

It is common to experience a surge of adrenaline when the exam begins.

• Module 1 Focus: The Reading & Writing section starts with Module 1. If you encounter a difficult vocabulary question early, skip it and move on. Do not let one challenging question disrupt your pacing.
• Breathing Exercises: If you feel overwhelmed, close your eyes, take three deep diaphragmatic breaths, and refocus.

---

12. Phase 12: Mini-Practice Test: Sample Math & Verbal Exercises

The following planning scenarios are original SATHELP24x7 checks. Use them to practice choosing a test date around registration windows, school workload, score goals, and application deadlines.

Reading & Writing Section

Question 1: Craft and Structure (Words in Context)

Although the director’s early films were celebrated for their linear storytelling, his later projects were deliberately ______; by employing fragmented timelines and multiple narrators, he challenged viewers to reconstruct the plot themselves.

Which choice completes the passage with the most logical and precise word?

• A) structured
• B) convoluted
• C) straightforward
• D) chronological

Answer & Explanation:

• Answer: B) convoluted
• Explanation: The passage sets up a contrast using the transition word Although and the phrase deliberately [blank]. The first clause states the early films were celebrated for linear storytelling (clear and chronological). The second clause explains that the later projects used fragmented timelines and multiple narrators, challenging viewers to reconstruct the plot. This indicates the later projects were complex or difficult to follow.
  • A) structured: Too general; all films have structure. Incorrect.
  • B) convoluted: Means extremely complex and difficult to follow. This fits the description of fragmented timelines and multiple narrators. Correct.
  • C) straightforward: Means uncomplicated or easy to understand. This is the opposite of the context clues. Incorrect.
  • D) chronological: Used to describe an arrangement in order of time. Fragmented timelines are non-chronological. Incorrect.

---

Question 2: Expression of Ideas (Transitions)

In the 1970s, marine biologist Sylvia Earle led the Tektite II project, living underwater for weeks to study coral reef ecosystems. ______ she designed and tested deep-sea submersibles that allowed researchers to descend to depths of \(3,000\) feet, opening new areas of the ocean floor to direct study.

Which choice completes the text with the most logical transition?

• A) In comparison,
• B) Furthermore,
• C) Conversely,
• D) Nevertheless,

Answer & Explanation:

• Answer: B) Furthermore,
• Explanation: The first sentence describes Earle’s work leading the Tektite II project. The second sentence describes her work designing deep-sea submersibles. The second sentence adds related information that supports the first point.
  • A) In comparison: Used to show similarities or differences. The relationship is addition, not comparison. Incorrect.
  • B) Furthermore: Means in addition. This correctly connects Earle’s two oceanographic achievements. Correct.
  • C) Conversely: Used to show contrast. There is no contrast here. Incorrect.
  • D) Nevertheless: Means despite this. This does not fit the supporting relationship between the sentences. Incorrect.

---

Question 3: Standard English Conventions (Punctuation)

To isolate specific chemical compounds, researchers pass liquid mixtures through chromatography ______ process separates molecules based on their size and charge, producing distinct bands in the column that can be collected individually.

Which choice completes the text with the most logical punctuation?

• A) columns, this
• B) columns; this
• C) columns this
• D) columns, because

Answer & Explanation:

• Answer: B) columns; this
• Explanation: The passage contains two independent clauses. The first is: “To isolate specific chemical compounds, researchers pass liquid mixtures through chromatography columns.” The second is: “this process separates molecules based on their size and charge…” Connecting two independent clauses requires a coordinating conjunction (with a comma), a semicolon, or a colon.
  • A) columns, this: Creates a comma splice by joining two independent clauses with only a comma. Incorrect.
  • B) columns; this: A semicolon is the correct punctuation to separate two independent clauses when no coordinating conjunction is present. Correct.
  • C) columns this: Creates a run-on sentence by lacking punctuation between the clauses. Incorrect.
  • D) columns, because: Uses because, which is logically incorrect as the separation is the mechanism of the chromatography column, not the reason why researchers pass the mixture through it. Incorrect.

---

Question 4: Craft and Structure (Words in Context)

The city council’s decision to construct the new transit hub was met with ______ approval; while some members praised it as a vital investment in infrastructure, others criticized its high cost and potential to displace local businesses.

Which choice completes the passage with the most logical and precise word?

• A) unanimous
• B) polarized
• C) lukewarm
• D) negligible

Answer & Explanation:

• Answer: B) polarized
• Explanation: The second clause provides the context clues: “while some members praised it… others criticized its high cost…” This indicates a sharp division of opinion among the council members.
  • A) unanimous: Means fully agreed. This directly contradicts the division described in the passage. Incorrect.
  • B) polarized: Means divided into sharply opposing groups. This matches the contrast between those who praised the hub and those who criticized it. Correct.
  • C) lukewarm: Means showing little enthusiasm. The presence of strong praise and strong criticism indicates the reaction was not indifferent or lukewarm. Incorrect.
  • D) negligible: Means so small as to be unimportant. The debate described indicates the issue was considered significant. Incorrect.

---

Math Section

Question 5: Algebra (Systems of Linear Equations)

A park rents bicycles and kayaks to visitors. A bicycle rental costs \($8\) per hour, and a kayak rental costs \($15\) per hour. On Saturday, the park rented a total of \(40\) bicycles and kayaks, generating \($460\) in revenue. How many bicycles did the park rent?

Answer & Explanation:

• Answer: 20
• Explanation: Let \(b\) represent the number of bicycles rented, and \(k\) represent the number of kayaks rented. We can construct a system of linear equations based on the problem:
  1. The total number of rentals: \[b + k = 40\]
  2. The total revenue generated: \[8b + 15k = 460\] Multiply the first equation by 8 to prepare for elimination: \[8(b + k) = 8(40) \implies 8b + 8k = 320\] Subtract this from the revenue equation to eliminate \(b\): \[(8b + 15k) - (8b + 8k) = 460 - 320\] \[7k = 140\] Divide by 7: \[k = 20\] Substitute \(k = 20\) back into the first equation to find \(b\): \[b + 20 = 40 \implies b = 20\] The park rented 20 bicycles.

---

Question 6: Advanced Math (Quadratic Systems)

A quadratic function is defined by: \[f(x) = 3x^2 - 18x + 22\] What is the minimum value of the function?

Answer & Explanation:

• Answer: -5
• Explanation: The minimum value of a quadratic function \(f(x) = ax^2 + bx + c\) where \(a > 0\) occurs at its vertex.
  1. Find the x-coordinate of the vertex using the formula \(x = -\frac{b}{2a}\): \[x = -\frac{-18}{2(3)} = \frac{18}{6} = 3\]
  2. Evaluate the function at \(x = 3\) to find the minimum value (the y-coordinate of the vertex): \[f(3) = 3(3)^2 - 18(3) + 22\] \[f(3) = 3(9) - 54 + 22\] \[f(3) = 27 - 54 + 22 = -5\] The minimum value of the function is -5.

---

Question 7: Geometry and Trigonometry (Circle Equation)

In the coordinate plane, the equation of a circle is represented by: \[x^2 + y^2 - 8x + 10y = -5\] What is the area of the circle?

Answer & Explanation:

• Answer: 36\(\pi\) (or approximately 113.1)
• Explanation: The area \(A\) of a circle is: \[A = \pi r^2\] To find the radius squared \(r^2\), we must complete the square for both the \(x\) and \(y\) terms in the given equation to convert it to standard center-radius form \((x - h)^2 + (y - k)^2 = r^2\):
  1. Group the terms: \[(x^2 - 8x) + (y^2 + 10y) = -5\]
  2. Complete the square for the \(x\) terms by adding \((\frac{-8}{2})^2 = 16\) to both sides: \[(x^2 - 8x + 16) + (y^2 + 10y) = -5 + 16\]
  3. Complete the square for the \(y\) terms by adding \((\frac{10}{2})^2 = 25\) to both sides: \[(x^2 - 8x + 16) + (y^2 + 10y + 25) = -5 + 16 + 25\]
  4. Factor and simplify the equation: \[(x - 4)^2 + (y + 5)^2 = 36\] Comparing this to the standard equation, we see that: \[r^2 = 36\] Substitute \(r^2\) back into the area formula: \[A = \pi r^2 = 36\pi\] The area of the circle is 36\(\pi\).

---

13. Official Sources, Trademark Disclaimer, and Final Notes

Official Sources Box

[!NOTE] All testing dates, registration guidelines, fee structures, and accommodations policies discussed in this guide are aligned with the official College Board guidelines. For the latest updates regarding registration deadlines, calendar changes, and test center availability, visit the following official resources:

• College Board SAT Dates and Deadlines Page
• College Board official Registration Portal
• College Board SSD Office Portal

Trademark Disclaimer

SAT® and Bluebook™ are registered trademarks of the College Board, which was not involved in the production of, and does not endorse, this study guide or the resources hosted on SATHELP24x7.com.

Summary Checklist for Registration Planning

Before finalizing your testing schedule, review these points:

• Map your target dates: Confirm your target test dates align with college application deadlines, allowing at least 3 weeks for score processing.
• Register early: Book your seat at least 2 months in advance to secure a convenient local test center and avoid late registration fees.
• Accommodations planning: Submit accommodations requests to the SSD office at least 8 weeks before your scheduled test date.
• Device check: Confirm your testing device is compatible, and complete the pre-exam setup in the Bluebook app 1 to 5 days before test day.

Date Verification Workflow

Treat every SAT date decision as a three-step verification task. First, confirm the administration date on College Board’s current SAT Dates and Deadlines page because national dates, registration deadlines, and late-change windows can shift between testing cycles. Second, log in to your College Board account before assuming a nearby test center has seats; a date can be nationally available while your preferred center is full. Third, compare the score-release timing shown in your account with the college or scholarship deadline you are trying to meet. This matters most for early action, scholarship priority deadlines, international applications, and retake planning. If any deadline is close, choose the earlier administration instead of relying on a best-case release window.

Families should also keep a local record of the registration confirmation number, testing center address, device requirements, and Bluebook setup window. A simple calendar entry should include the regular registration deadline, late registration deadline, expected setup reminder, test morning arrival time, and the application deadline that score is meant to support.