2023 physics 1 frq - 5 Questions. Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.

 
Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at ssd@info.collegeboard.org. The .... Food city hwy 321 gatlinburg

Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.Walkthrough of the 2023 AP Physics 2 FRQ #4Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free-response...2021 AP Free Response Solutions. Updated: Jul 14, 2023. If you're looking for help in AP Physics 1, check out a new course I've put together hereI'm going to put together my own solutions for the 2021 AP Physics 1, AP Physics 2, AP Physics C, AP Calculus AB, AP Calculus BC, and AP Statistics Free Response questions here, after …Even if you're not great with spatial relations. By now, we’ve been keeping 6 feet apart from other people (or at least been instructed to do so) for almost a year. Some people, li...3 Questions | 45 Minutes | 50% of Exam Score. One of the 3 free-response questions will include an experimental or lab-based component. Questions will assess all 7 of the science practices: visual representations, question and method, representing data and phenomena, data analysis, theoretical relationships, mathematical routines, and ...2021 AP Free Response Solutions. Updated: Jul 14, 2023. If you're looking for help in AP Physics 1, check out a new course I've put together hereI'm going to put together my own solutions for the 2021 AP Physics 1, AP Physics 2, AP Physics C, AP Calculus AB, AP Calculus BC, and AP Statistics Free Response questions here, after …AP Physics 1 FRQ Solutions. Total Playlist Time: 269 Minutes All My Solutions to the AP Physics 1 Free Response Questions. 8 General Suggestions for the FRQs of Any AP Physics Exam - edpuzzle ... Take a look at my AP Physics 1 Multiple Choice problems from the 1998 AP Physics C Exam. ii. For an explanation that object 1 exerts a larger torque than object 2 1 point Example response for part (a)(ii) Object 1 is twice as far from the axle as object 2, while object 2 has only 1.5 times the weight of object 1. So, object 1 exerts a larger torque. Total for part (a) 4 points (b) Correct answer: “Opposite directions” Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...Jan 29, 2024 · Five big ideas are covered in the AP® Physics 1 exam: Big Idea 1: Systems – Objects and systems have properties like mass and charge. Big Idea 2: Fields – Fields that exist in space can explain interactions. Big Idea 3: Force Interactions – Forces can describe interactions between objects. Big Idea 4: Change – System interactions ... The other point was not earned because the response does not show an x versus t curve that is concave up and has an initially negative slope. Visit College Board on the web: collegeboard.org. AP® Physics 1: Algebra-Based 2023 Scoring Commentary. Question 2 (continued) Sample: 2B.AP Physics 1, Form I, the first FRQ about pendulum and spring. There are two parts that I'm not so sure about the answers: one about comparing the time the sphere it reaches …10–16%. 2–9%. Download our free 2023 AP Physics 1 Study Tracker Notion Template. It's free for all students to use. Track your study progress, rate your confidence levels, and store notes in each study guide page. It's the perfect companion to Fiveable's AP Study Guides! Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part. After "smoothing" out the fluctuations on the original graph, sketch the position versus time and acceleration versus time graphs that are quantitatively reasonable. AP Physics 1 Free-Response Practice Test 1: Kinematics. This test contains 4 AP physics 1 free-response practice questions with detailed explanations, to be completed in 60 minutes.Select two answers. The block has its maximum acceleration at all times 0.5n, where n is a zero or a whole number. B. The block has maximum spring potential energy at all times 0.5n, where n is a zero or a whole number. Study with Quizlet and memorize flashcards containing terms like What is the magnitude of the change in potential energy of ...Apr 8, 2020 ... Check out my personal finance channel with over 10k subs! https://www.youtube.com/channel/UCVo7LwuxomC4k5yHEHlVdJA?sub_confirmation=1 This ...QUESTION 3. on this page. 3. The circuit shown consists of a battery of emf Ɛ, resistors 1 and 2 each with resistance R, capacitors 1 and 2 with capacitances C and 2 C, respectively, and a switch. The switch is initially open and both capacitors are uncharged. At time t 0, the switch is closed to Position A.Physics 1. Four-function, scientific, or graphing calculator. Allowed. Allowed. Physics 2. Four-function, scientific, or graphing calculator. Allowed. Allowed. ... 2023-24 List of Approved Graphing Calculators. This list will be updated as necessary to include new approved calculators. Casio. FX-6000 Series. FX-6200 Series.1 point is earned for indicating the forces on block 3 would be unbalanced (net force to the right from the string). 1 point is earned for making a claim that indicates that since the forces are unbalanced, block 3 would accelerate to the right. Example response: There is a net force on block 3 which is equal to the tension in the spring.2024 AP Physics 1 exam study guides, practice quizzes, live reviews, community support | Fiveable ... Unit 2 FRQ (Dynamics) 3 min read. Unit 5 FRQ (Momentum) Answers.Walkthrough of the 2023 AP Physics C Electricity and Magnetism (Set 1) FRQ #1Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemco...For parts (d)–(g), the value for the length of the pendulum is L = 75 cm. (d) Calculate the time between the instant block 2 leaves the table and the instant it first contacts the floor. (e) Calculate the speed of block 2 as it leaves the table. (f) Calculate the speed of block 1 just after it collides with block 2.5 Questions. Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are …My best guesses at the FRQs this year - put any comments/corrections in the comments! I feel pretty good about these but wasn't a huge fan of the experimenta...General Notes About 2018 AP Physics Scoring Guidelines . 1. The solutions contain the most common method of solving the free-response questions and the allocation of points for this solution. Some also contain a common alternate solution. Other methods of solution also receive appropriate credit for correct work. 2.Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.We used old released exams and other calculators to estimate “if you earned this % of points, you would earn this score”: 0-29% = 1. 30-44% = 2. 45-59% = 3. 60-74% = 4. 75% or more = 5. These are meant to be benchmarks to give a rough idea of where you might fall, but the actual numbers are adjusted each year to be based on the curve.2022-2023 Unit 3 - WEP and Momentum FRQ. AP Physics 1 Page 5 of 32. 5. A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed 3 0 when it collides with a larger block of mass 1 at rest at the bottom of the incline.AP Physics 1 Exam - 2023 US Discussion. 2 2? 2. 266 votes, 1.7K comments. 314K subscribers in the APStudents community. No matter what course you are taking, we are a community that helps students….Example Response. The gravitational force is greater for objects that are closer together, and Moon B is closer to the planet than Moon A, so the gravitational force from the planet is greater for Moon B than for Moon A. Total for part (b) 3 points. 1: Algebra-Based 2022 Scoring Guidelines.There's a physical explanation for social and personal phenomena—understanding it can simplify your life and improve societies. When a tree falls in a river, it impedes the water’s... Share free summaries, lecture notes, exam prep and more!! 1. T 1 . Part (c)(i) earned. T 2 no points because the response does not explain in terms of work or energy why the systems’ energies should be the same. The response states that no energy is lost because there is no friction. The response needs to address the fact that no work is done on the system.Course Overview + Unit 1 Review + FRQ Practice. streamed by Kristen Adams. AP Mechanics Kinematics Overview. streamed by ... 🌶️ AP Physics C: Mech Cram Review: Unit 1: Kinematics. streamed by Sam Reich. AP Physics C: Mechanics Cram Unit 1: Kinematics Slides. slides by Sam Reich. 🌶️ AP Physics C: Mech Cram Review: Unit 2: …Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ... Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. For each question, show your work for each part in the space provided after that part. Section I: Multiple Choice. 50 Questions | 1 Hour 30 Minutes | 50% of Exam Score. Questions are either discrete questions or question sets, in which students are provided with a stimulus or a set of data and a series of related questions. The section includes 5 individual multi-select questions (2 options are correct). AP Physics 1 Exam - 2023 US Discussion. 2 2? 2. 266 votes, 1.7K comments. 314K subscribers in the APStudents community. No matter what course you are taking, we are a community that helps students…. 7KHVWULQJ VWUHWFKHG LVPXQGHU RIPJ D IRUFH 1 %HFDXVH ) N[ ZH KDYH PJ N 1 P 1 P [ 7RWDOIRUSDUW D SRLQWV E L )RUDYDOLG UHDVRQ NLQHWLF ZK\HQHUJ\LVWKH WKHVDPH DW ERWK WLPHV SRLQW ... AP Physics 1: Algebra-Based Author: College Board; Advanced Placement Subject: AP; Advanced Placement …Walkthrough of the 2023 AP Physics 1 FRQ #1Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free-response...Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.In this video, we’ll unpack a sample free-response question—FRQ (Question 3: Paragraph Argument Short Answer).Download questions here: https://tinyurl.com/yc... No matter what course you are taking, we are a community that helps students earn college credit! AP Physics C: Mechanics Exam - 2023 US Discussion. I want to buy AP Physics past paper 2021 2022 2023 And collegeboard testbank progressive check. Give me an email [email protected]. 2024 AP Physics 1 exam study guides, practice quizzes, live reviews, community support | Fiveable ... Unit 2 FRQ (Dynamics) 3 min read. Unit 5 FRQ (Momentum) Answers.Jan 29, 2024 · Five big ideas are covered in the AP® Physics 1 exam: Big Idea 1: Systems – Objects and systems have properties like mass and charge. Big Idea 2: Fields – Fields that exist in space can explain interactions. Big Idea 3: Force Interactions – Forces can describe interactions between objects. Big Idea 4: Change – System interactions ... Physical activity -- which includes an active lifestyle and routine exercise -- plus eating well, is the best way to stay healthy. Physical activity -- which includes an active lif...Directions: Questions 1 and 4 are short free-response questions that require about 20 minutes each to answer and are worth 10 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part.2022-2023 Unit 3 - WEP and Momentum FRQ. AP Physics 1 Page 5 of 32. 5. A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed 3 0 when it collides with a larger block of mass 1 at rest at the bottom of the incline.Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected] Unit 3 - WEP and Momentum FRQ. AP Physics 1 Page 5 of 32. 5. A small block of mass M is released from rest at the top of the curved frictionless ramp shown above. The block slides down the ramp and is moving with a speed 3 0 when it collides with a larger block of mass 1 at rest at the bottom of the incline. Course Overview. AP Physics 1 is an algebra-based, introductory college-level physics course. Students cultivate their understanding of physics through classroom study, in-class activity, and hands-on, inquiry-based laboratory work as they explore concepts like systems, fields, force interactions, change, and conservation. Fmax = 192000(0.25 s) 2 − 96000(0.25 s) ∴ Fmax = 12,000 N. AP® Physics C: Mechanics 2023 Scoring Guidelines. (b)(ii) For a curve that increases and then decreases in value that is only concave down For a labeled maximum value consistent with the calculated value in part (b)(i) For the graph having values of 0 N at t = 0s and t = 0. 5s.Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...2023 AP Free Response Solutions. Updated: Dec 15, 2023. Here's my own PDF solutions for the released 2023 AP exams for AP Calculus, Statistics, and Physics. If you're looking for help in AP Physics 1, check out a new course I've put together here AP Statistics. PDF Solution. YouTube Solutions. FRQ #1. FRQ #2. FRQ #3. FRQ #4. FRQ #5 FRQ #6.AP Physics 1 Session 1 – MCQ. 1. A Block of mass, is at rest on a ramp that is inclined at an angle with respect to the horizontal. Frictional forces are considered to be …⏱ Remember, the AP Physics 1 exam has 5 free-response questions, and you will be given 90 minutes to complete the FRQ section. (This means you should give yourself ~18 minutes to go through each practice FRQ.) Setup. A group of students must determine the spring constant k of a spring that hangs vertically from a ring stand. The …Write your responses to this question only on the designated pages in the separate Free Response booklet. Write your solution to each part in the space provided for that part. 2023 College Board. 5. The graphs of the functions f and g are shown in the figure for 12. 0 £ x £ 3. It is known that g(x) =. 3 + x. for x .⏱ Remember, the AP Physics 1 exam has 5 free-response questions, and you will be given 90 minutes to complete the FRQ section. (This means you should give yourself ~18 minutes to go through each practice FRQ.) Setup. A worker pushes a wooden crate up a ramp at a constant velocity. The ramp has been covered with a material that …ETF strategy - ABRDN PHYSICAL SILVER SHARES ETF - Current price data, news, charts and performance Indices Commodities Currencies StocksDirections: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part. AP Physics 1 Exam - 2023 US Discussion. 2 2? 2. 266 votes, 1.7K comments. 314K subscribers in the APStudents community. No matter what course you are taking, we are a community that helps students…. My best guesses at the FRQs this year - put any comments/corrections in the comments! I feel pretty good about these but wasn't a huge fan of the experimenta...Physics 1: Algebra-Based 2023 Scoring Commentary © 2023 College Board. Visit College Board on the web: collegeboard.org. Question 1 : Note: Student samples are quoted …Original free-response prompts for AP® Physics 1 that mimic the questions found on the real exam. Our expert authors also provide an exemplary response for each AP free … In this AP Daily: Live Review session, we will complete and review practice free-response questions containing concepts from all AP Physics 1 topics. We wil... Most of these questions look intimidating, but they're manageable if you take them one step at a time and break them down into smaller chunks. Here's a review of how to solve free-response questions: Step 1: Figure out what you know. Write down any data that's included in the question. Step 2: Dive into the question.If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The 2020 free-response questions are available in the AP Classroom question bank. Download free-response questions from past AP Physics C ...Walkthrough of the 2023 AP Physics 1 FRQ #3Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free-response... AP Physics 1 Exam - 2023 US Discussion. 2 2? 2. 266 votes, 1.7K comments. 314K subscribers in the APStudents community. No matter what course you are taking, we are a community that helps students…. This is an attempted solution to the 2023 AP Physics 1 FRQ Set 1..If you want more content or practice, please feel free to visit my TPT store! Enjoy! https:... AP Physics UNIT1 Kinematics FRQ Collection 2023. Subject: AP Physics 1: Algebra-Based. 999+ Documents. Students shared 1633 documents in this course. Level: AP. Info More info. Download. ... AP Physics 1 2023 Solutions. AP Physics 1: Algebra-Based None. 17. AP-Physics-1-Practice-Test-1 - barons. AP Physics 1: Algebra-Based None. 11.Physical activity -- which includes an active lifestyle and routine exercise -- plus eating well, is the best way to stay healthy. Physical activity -- which includes an active lif...About the Exam. The AP Physics C: Mechanics Exam will test your understanding of the scientific concepts covered in the course units, as well as your ability to use calculus when solving problems related to kinematics, linear momentum, and more. You can use a four-function, scientific, or graphing calculator throughout the exam, and you will be ...Home Courses Science AP Physics 1 Work and Energy. Work and Energy AP Style Free Response Questions File . 0 Comments Login to Post.Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...May 10, 2023 ... AP Physics 1 Review 2023. 2.7K views · Streamed 11 months ago ...more. Conquering College Board. 123. Subscribe. 91. Share. Save.Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part. 1. (10 points, suggested time 20 minutes) Students are investigating electromagnetic wave phenomena in transparent media.Walkthrough of the 2023 AP Physics 2 FRQ #4Website: http://www.bothellstemcoach.comPDF Solutions: https://www.bothellstemcoach.com/post/2023-ap-free-response... Section I: Multiple Choice. 50 Questions | 1 Hour 30 Minutes | 50% of Exam Score. Questions are either discrete questions or question sets, in which students are provided with a stimulus or a set of data and a series of related questions. The section includes 5 individual multi-select questions (2 options are correct). During a routine physical, a doctor or nurse takes note of a patient’s weight and records the individual’s vital signs, including blood pressure, heart rate, temperature and respir... No matter what course you are taking, we are a community that helps students earn college credit! AP Physics C: Mechanics Exam - 2023 US Discussion. I want to buy AP Physics past paper 2021 2022 2023 And collegeboard testbank progressive check. Give me an email [email protected]. Question 1 is based on the accompanying documents. The documents have been edited for the purpose of this exercise. In your response you should do the following. Respond to the prompt with a historically defensible thesis or claim that establishes a line of reasoning.Apr 10, 2020 ... Comments56 · 2023 AP Physics 1 Free Response #2 · 15 AP Physics 1 Tips: How to Get a 4 or 5 in 2022 | Albert.

AP Physics 1 Student Workbook—Teacher and Student Editions. This is a free resource that contains a compilation of problems written by master AP Physics teachers and college/university physics faculty to help students master the knowledge and skills in college-level physics coursework. This workbook offers more than 100 scenarios, or .... 757 delta seat map

2023 physics 1 frq

Course Overview. AP Physics 1 is an algebra-based, introductory college-level physics course. Students cultivate their understanding of physics through classroom study, in-class activity, and hands-on, inquiry-based laboratory work as they explore concepts like systems, fields, force interactions, change, and conservation. Section I: Multiple Choice. 50 Questions | 1 Hour 30 Minutes | 50% of Exam Score. Questions are either discrete questions or question sets, in which students are provided with a stimulus or a set of data and a series of related questions. The section includes 5 individual multi-select questions (2 options are correct).Share free summaries, lecture notes, exam prep and more!!Download free-response questions from past exams along with scoring guidelines, sample responses from exam takers, and scoring distributions. If you are using assistive technology and need help accessing these PDFs in another format, contact Services for Students with Disabilities at 212-713-8333 or by email at [email protected]. The ...Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each. Show your work for each part in the space provided after that part. 1. (10 points, suggested time 20 minutes) Students are investigating electromagnetic wave phenomena in transparent media.May 14, 2023 ... Comments2 · 2023 AP Physics 2 Free Response #4 · 2022 AP Physics 2 Free Response #1 · 2023 AP Physics C Mechanics (Set 1) · 2023 AP Phy...Example Response. The gravitational force is greater for objects that are closer together, and Moon B is closer to the planet than Moon A, so the gravitational force from the planet is greater for Moon B than for Moon A. Total for part (b) 3 points. ©2022 College Board. AP® Physics 1: Algebra-Based 2022 Scoring Guidelines.PHYSICS 1 SECTION II Time—1 hour and 30 minutes 5 Questions Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each.© New Jersey Center for Teaching & Learning Inc. All Rights Reserved.PHYSICS 1 SECTION II Time—1 hour and 30 minutes 5 Questions Directions: Questions 1, 4, and 5 are short free-response questions that require about 13 minutes each to answer and are worth 7 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to answer and are worth 12 points each.AP Physics UNIT1 Kinematics FRQ Collection 2023. Subject: AP Physics 1: Algebra-Based. 999+ Documents. Students shared 1633 documents in this course. Level: AP. Info More info. Download. ... AP Physics 1 2023 Solutions. AP Physics 1: Algebra-Based None. 17. AP-Physics-1-Practice-Test-1 - barons. AP Physics 1: Algebra-Based None. 11.My best guesses at the FRQs this year - put any comments/corrections in the comments! I feel pretty good about these but wasn't a huge fan of the experimenta...Question 1 is based on the accompanying documents. The documents have been edited for the purpose of this exercise. In your response you should do the following. Respond to the prompt with a historically defensible thesis or claim that establishes a line of reasoning.Browse Free Response Questions (FRQs) from past AP Physics 1 exams sorted by topic and practice your writing skills for the 2021 AP Exams.Questions 1 and 4 are short free-response questions that require about 20 minutes each to answer and are. worth 10 points each. Questions 2 and 3 are long free-response questions that require about 25 minutes each to. answer and are worth 12 points each. Show your work for each part in the space provided after that part.8 General Suggestions for the FRQs of Any AP Physics Exam - edpuzzle Reflections on the 2015 Exam - edpuzzle QQT and PASA for AP Physics Explained - edpuzzle Experimental Design Questions for AP Physics Explained - edpuzzle Short Answer for AP Physics Explained - edpuzzle 2012 FRQ #2 - AP Physics C: Mechanics - EDQ - edpuzzleMay 14, 2023 ... Comments2 · 2023 AP Physics 2 Free Response #4 · 2022 AP Physics 2 Free Response #1 · 2023 AP Physics C Mechanics (Set 1) · 2023 AP Phy...1 point is earned for indicating the forces on block 3 would be unbalanced (net force to the right from the string). 1 point is earned for making a claim that indicates that since the forces are unbalanced, block 3 would accelerate to the right. Example response: There is a net force on block 3 which is equal to the tension in the spring. Questions 1–3 are long free-response questions that require about 23 minutes each to answer and are worth 10 points each. Questions 4–7 are short free-response questions that require about 9 minutes each to answer and are worth 4 points each. For each question, show your work for each part in the space provided after that part. .

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